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xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Algebra of Confounding (Cont) and so on." xmpDM:startTime="111467" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Generator polynomial: I=ABCD For the second design: I=ABC." xmpDM:startTime="111467" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="In a 2k-p design, 2p effects are confounded together." xmpDM:startTime="111467" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp" xmpDM:startTime="111467" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 19.7" xmpDM:startTime="112467" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="In the 27-4 design: Using products of all subsets: TP_tmp TP_tmp" xmpDM:startTime="112467" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Algebra of Confounding (Cont) and so on." xmpDM:startTime="112933" 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TP_tmp TP_tmp" xmpDM:startTime="115967" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Other Fractional Factorial Designs A fractional factorial design is not unique." xmpDM:startTime="116267" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="2p different designs." xmpDM:startTime="116267" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confoundings: Not as good as the previous design." xmpDM:startTime="116267" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp TP_tmp" xmpDM:startTime="116267" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding (Cont) Confounding representation: D=ABC Other Confoundings: I=ABCD ) confounding of ABCD with the mean." xmpDM:startTime="116333" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp TP_tmp TP_tmp" xmpDM:startTime="116333" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding 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factorial design with k-p factors." xmpDM:startTime="120500" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Mark the first column I." xmpDM:startTime="120500" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Mark the next k-p columns with the k-p factors." xmpDM:startTime="120500" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Of the (2k-p-k+p-1) columns on the right, choose p columns and mark them with the p factors which were not" xmpDM:startTime="120500" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="chosen in step 1." xmpDM:startTime="120500" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="" xmpDM:startTime="120500" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example: 27-4 Design TP_tmp" xmpDM:startTime="121733" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example: 24-1 Design TP_tmp" xmpDM:startTime="122400" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding Confounding: Only the combined influence of two or more effects can be computed." xmpDM:startTime="124533" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp TP_tmp" xmpDM:startTime="124533" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example: 24-1 Design TP_tmp" xmpDM:startTime="125367" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding Confounding: Only the combined influence of two or more effects can be computed." xmpDM:startTime="126167" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp TP_tmp" xmpDM:startTime="126167" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example: 24-1 Design TP_tmp" xmpDM:startTime="127200" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding Confounding: Only the combined influence of two or more effects can be computed." xmpDM:startTime="129500" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp TP_tmp" xmpDM:startTime="129500" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding (Cont) ) Effects of D and ABC are confounded." xmpDM:startTime="130433" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Not a problem if qABC is negligible." xmpDM:startTime="130433" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp TP_tmp TP_tmp" xmpDM:startTime="130433" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding Confounding: Only the combined influence of two or more effects can be computed." xmpDM:startTime="130900" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp TP_tmp" xmpDM:startTime="130900" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example: 24-1 Design TP_tmp" xmpDM:startTime="130967" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example: 27-4 Design TP_tmp" xmpDM:startTime="131233" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Sign Table for a 2k-p Design Steps: Prepare a sign table for a full factorial design with k-p factors." xmpDM:startTime="131700" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Mark the first column I." xmpDM:startTime="131700" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Mark the next k-p columns with the k-p factors." xmpDM:startTime="131700" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Of the (2k-p-k+p-1) columns on the right, choose p columns and mark them with the p factors which were not" xmpDM:startTime="131700" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="chosen in step 1." xmpDM:startTime="131700" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="" xmpDM:startTime="131700" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 19.1" xmpDM:startTime="132567" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Factors A through G explain 37.26%," xmpDM:startTime="132567" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="4.47%," xmpDM:startTime="132567" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="43.40%," xmpDM:startTime="132567" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="6.75%," xmpDM:startTime="132567" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="0%, 8.06%," xmpDM:startTime="132567" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="and 0.03%" xmpDM:startTime="132567" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="of variation, respectively." xmpDM:startTime="132567" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name=" Use only factors C and A for further experimentation." xmpDM:startTime="132567" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp" xmpDM:startTime="132567" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Sign Table for a 2k-p Design Steps: Prepare a sign table for a full factorial design with k-p factors." xmpDM:startTime="133867" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Mark the first column I." xmpDM:startTime="133867" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Mark the next k-p columns with the k-p factors." xmpDM:startTime="133867" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Of the (2k-p-k+p-1) columns on the right, choose p columns and mark them with the p factors which were not" xmpDM:startTime="133867" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="chosen in step 1." xmpDM:startTime="133867" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="" xmpDM:startTime="133867" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example: 27-4 Design TP_tmp" xmpDM:startTime="134700" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example: 24-1 Design TP_tmp" xmpDM:startTime="134867" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding Confounding: Only the combined influence of two or more effects can be computed." xmpDM:startTime="135500" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp TP_tmp" xmpDM:startTime="135500" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example: 24-1 Design TP_tmp" xmpDM:startTime="136167" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example: 27-4 Design TP_tmp" xmpDM:startTime="136233" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example: 24-1 Design TP_tmp" xmpDM:startTime="137200" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding Confounding: Only the combined influence of two or more effects can be computed." xmpDM:startTime="137767" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp TP_tmp" xmpDM:startTime="137767" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example: 24-1 Design TP_tmp" xmpDM:startTime="138133" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding Confounding: Only the combined influence of two or more effects can be computed." xmpDM:startTime="140300" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp TP_tmp" xmpDM:startTime="140300" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding (Cont) ) Effects of D and ABC are confounded." xmpDM:startTime="141300" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Not a problem if qABC is negligible." xmpDM:startTime="141300" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp TP_tmp TP_tmp" xmpDM:startTime="141300" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding (Cont) Confounding representation: D=ABC Other Confoundings: I=ABCD ) confounding of ABCD with the mean." xmpDM:startTime="142233" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp TP_tmp TP_tmp" xmpDM:startTime="142233" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Other Fractional Factorial Designs A fractional factorial design is not unique." xmpDM:startTime="142733" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="2p different designs." xmpDM:startTime="142733" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confoundings: Not as good as the previous design." xmpDM:startTime="142733" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp TP_tmp" xmpDM:startTime="142733" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Algebra of Confounding Given just one confounding, it is possible to list all other confoundings." xmpDM:startTime="151333" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Rules: I is treated as unity." xmpDM:startTime="151333" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Any term with a power of 2 is erased." xmpDM:startTime="151333" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Multiplying both sides by A: Multiplying both sides by B, C, D, and AB: TP_tmp TP_tmp" xmpDM:startTime="151333" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Algebra of Confounding (Cont) and so on." xmpDM:startTime="152100" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Generator polynomial: I=ABCD For the second design: I=ABC." xmpDM:startTime="152100" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="In a 2k-p design, 2p effects are confounded together." xmpDM:startTime="152100" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp" xmpDM:startTime="152100" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Algebra of Confounding Given just one confounding, it is possible to list all other confoundings." xmpDM:startTime="176200" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Rules: I is treated as unity." xmpDM:startTime="176200" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Any term with a power of 2 is erased." xmpDM:startTime="176200" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Multiplying both sides by A: Multiplying both sides by B, C, D, and AB: TP_tmp TP_tmp" xmpDM:startTime="176200" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Other Fractional Factorial Designs A fractional factorial design is not unique." xmpDM:startTime="176533" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="2p different designs." xmpDM:startTime="176533" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confoundings: Not as good as the previous design." xmpDM:startTime="176533" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp TP_tmp" xmpDM:startTime="176533" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding (Cont) Confounding representation: D=ABC Other Confoundings: I=ABCD ) confounding of ABCD with the mean." xmpDM:startTime="176700" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp TP_tmp TP_tmp" xmpDM:startTime="176700" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding (Cont) ) Effects of D and ABC are confounded." xmpDM:startTime="177233" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Not a problem if qABC is negligible." xmpDM:startTime="177233" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp TP_tmp TP_tmp" xmpDM:startTime="177233" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding Confounding: Only the combined influence of two or more effects can be computed." xmpDM:startTime="177367" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp TP_tmp" xmpDM:startTime="177367" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding (Cont) ) Effects of D and ABC are confounded." xmpDM:startTime="177967" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Not a problem if qABC is negligible." xmpDM:startTime="177967" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp TP_tmp TP_tmp" xmpDM:startTime="177967" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding (Cont) Confounding representation: D=ABC Other Confoundings: I=ABCD ) confounding of ABCD with the mean." xmpDM:startTime="178100" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp TP_tmp TP_tmp" xmpDM:startTime="178100" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Other Fractional Factorial Designs A fractional factorial design is not unique." xmpDM:startTime="178600" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="2p different designs." xmpDM:startTime="178600" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confoundings: Not as good as the previous design." xmpDM:startTime="178600" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp TP_tmp" xmpDM:startTime="178600" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Algebra of Confounding Given just one confounding, it is possible to list all other confoundings." xmpDM:startTime="392200" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Rules: I is treated as unity." xmpDM:startTime="392200" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Any term with a power of 2 is erased." xmpDM:startTime="392200" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Multiplying both sides by A: Multiplying both sides by B, C, D, and AB: TP_tmp TP_tmp" xmpDM:startTime="392200" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Algebra of Confounding (Cont) and so on." xmpDM:startTime="393067" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Generator polynomial: I=ABCD For the second design: I=ABC." xmpDM:startTime="393067" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="In a 2k-p design, 2p effects are confounded together." xmpDM:startTime="393067" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp" xmpDM:startTime="393067" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 19.7" xmpDM:startTime="419200" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="In the 27-4 design: Using products of all subsets: TP_tmp TP_tmp" xmpDM:startTime="419200" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 19.7" xmpDM:startTime="609700" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="(Cont) Other confoundings: TP_tmp" xmpDM:startTime="609700" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 19.7" xmpDM:startTime="613200" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="In the 27-4 design: Using products of all subsets: TP_tmp TP_tmp" xmpDM:startTime="613200" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 19.7" xmpDM:startTime="617600" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="(Cont) Other confoundings: TP_tmp" xmpDM:startTime="617600" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 19.7" xmpDM:startTime="626267" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="In the 27-4 design: Using products of all subsets: TP_tmp TP_tmp" xmpDM:startTime="626267" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 19.7" xmpDM:startTime="633933" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="(Cont) Other confoundings: TP_tmp" xmpDM:startTime="633933" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Design Resolution Order of an effect = Number of terms Order of ABCD = 4, order of I = 0." xmpDM:startTime="654500" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Order of a confounding = Sum of order of two terms E.g.," xmpDM:startTime="654500" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="AB=CDE is of order 5." xmpDM:startTime="654500" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Resolution of a Design = Minimum of orders of confoundings Notation: RIII = Resolution-III = 2k-pIII Example 1: I=ABCD " xmpDM:startTime="654500" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="RIV = Resolution-IV = 24-1IV TP_tmp" xmpDM:startTime="654500" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 19.7" xmpDM:startTime="668300" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="(Cont) Other confoundings: TP_tmp" xmpDM:startTime="668300" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 19.7" xmpDM:startTime="670100" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="In the 27-4 design: Using products of all subsets: TP_tmp TP_tmp" xmpDM:startTime="670100" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Algebra of Confounding (Cont) and so on." xmpDM:startTime="673167" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Generator polynomial: I=ABCD For the second design: I=ABC." xmpDM:startTime="673167" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="In a 2k-p design, 2p effects are confounded together." xmpDM:startTime="673167" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp" xmpDM:startTime="673167" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Algebra of Confounding Given just one confounding, it is possible to list all other confoundings." xmpDM:startTime="673867" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Rules: I is treated as unity." xmpDM:startTime="673867" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Any term with a power of 2 is erased." xmpDM:startTime="673867" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Multiplying both sides by A: Multiplying both sides by B, C, D, and AB: TP_tmp TP_tmp" xmpDM:startTime="673867" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Other Fractional Factorial Designs A fractional factorial design is not unique." xmpDM:startTime="674233" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="2p different designs." xmpDM:startTime="674233" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confoundings: Not as good as the previous design." xmpDM:startTime="674233" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp TP_tmp" xmpDM:startTime="674233" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding (Cont) Confounding representation: D=ABC Other Confoundings: I=ABCD ) confounding of ABCD with the mean." xmpDM:startTime="674533" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp TP_tmp TP_tmp" xmpDM:startTime="674533" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding (Cont) ) Effects of D and ABC are confounded." xmpDM:startTime="674867" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Not a problem if qABC is negligible." xmpDM:startTime="674867" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp TP_tmp TP_tmp" xmpDM:startTime="674867" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding Confounding: Only the combined influence of two or more effects can be computed." xmpDM:startTime="675500" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp TP_tmp" xmpDM:startTime="675500" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example: 24-1 Design TP_tmp" xmpDM:startTime="675600" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example: 27-4 Design TP_tmp" xmpDM:startTime="675700" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Sign Table for a 2k-p Design Steps: Prepare a sign table for a full factorial design with k-p factors." xmpDM:startTime="675833" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Mark the first column I." xmpDM:startTime="675833" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Mark the next k-p columns with the k-p factors." xmpDM:startTime="675833" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Of the (2k-p-k+p-1) columns on the right, choose p columns and mark them with the p factors which were not" xmpDM:startTime="675833" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="chosen in step 1." xmpDM:startTime="675833" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="" xmpDM:startTime="675833" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 19.1" xmpDM:startTime="676633" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Factors A through G explain 37.26%," xmpDM:startTime="676633" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="4.47%," xmpDM:startTime="676633" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="43.40%," xmpDM:startTime="676633" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="6.75%," xmpDM:startTime="676633" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="0%, 8.06%," xmpDM:startTime="676633" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="and 0.03%" xmpDM:startTime="676633" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="of variation, respectively." xmpDM:startTime="676633" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name=" Use only factors C and A for further experimentation." xmpDM:startTime="676633" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp" xmpDM:startTime="676633" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Sign Table for a 2k-p Design Steps: Prepare a sign table for a full factorial design with k-p factors." xmpDM:startTime="676900" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Mark the first column I." xmpDM:startTime="676900" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Mark the next k-p columns with the k-p factors." xmpDM:startTime="676900" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Of the (2k-p-k+p-1) columns on the right, choose p columns and mark them with the p factors which were not" xmpDM:startTime="676900" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="chosen in step 1." xmpDM:startTime="676900" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="" xmpDM:startTime="676900" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 19.1" xmpDM:startTime="677400" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Factors A through G explain 37.26%," xmpDM:startTime="677400" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="4.47%," xmpDM:startTime="677400" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="43.40%," xmpDM:startTime="677400" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="6.75%," xmpDM:startTime="677400" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="0%, 8.06%," xmpDM:startTime="677400" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="and 0.03%" xmpDM:startTime="677400" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="of variation, respectively." xmpDM:startTime="677400" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name=" Use only factors C and A for further experimentation." xmpDM:startTime="677400" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp" xmpDM:startTime="677400" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Analysis of Frac." xmpDM:startTime="677567" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Factorial Designs Model: Effects can be computed using inner products." xmpDM:startTime="677567" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp TP_tmp TP_tmp" xmpDM:startTime="677567" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 19.1" xmpDM:startTime="678533" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Factors A through G explain 37.26%," xmpDM:startTime="678533" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="4.47%," xmpDM:startTime="678533" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="43.40%," xmpDM:startTime="678533" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="6.75%," xmpDM:startTime="678533" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="0%, 8.06%," xmpDM:startTime="678533" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="and 0.03%" xmpDM:startTime="678533" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="of variation, respectively." xmpDM:startTime="678533" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name=" Use only factors C and A for further experimentation." xmpDM:startTime="678533" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp" xmpDM:startTime="678533" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Sign Table for a 2k-p Design Steps: Prepare a sign table for a full factorial design with k-p factors." xmpDM:startTime="678967" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Mark the first column I." xmpDM:startTime="678967" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Mark the next k-p columns with the k-p factors." xmpDM:startTime="678967" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Of the (2k-p-k+p-1) columns on the right, choose p columns and mark them with the p factors which were not" xmpDM:startTime="678967" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="chosen in step 1." xmpDM:startTime="678967" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="" xmpDM:startTime="678967" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 19.1" xmpDM:startTime="679400" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Factors A through G explain 37.26%," xmpDM:startTime="679400" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="4.47%," xmpDM:startTime="679400" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="43.40%," xmpDM:startTime="679400" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="6.75%," xmpDM:startTime="679400" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="0%, 8.06%," xmpDM:startTime="679400" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="and 0.03%" xmpDM:startTime="679400" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="of variation, respectively." xmpDM:startTime="679400" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name=" Use only factors C and A for further experimentation." xmpDM:startTime="679400" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp" xmpDM:startTime="679400" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Analysis of Frac." xmpDM:startTime="680000" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Factorial Designs Model: Effects can be computed using inner products." xmpDM:startTime="680000" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp TP_tmp TP_tmp" xmpDM:startTime="680000" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Fractional Design Features Full factorial design is easy to analyze due to orthogonality of sign vectors." xmpDM:startTime="682267" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Fractional factorial designs also use orthogonal vectors." xmpDM:startTime="682267" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="That is: The sum of each column is zero." xmpDM:startTime="682267" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="åi xij =0 8 j jth variable, ith experiment." xmpDM:startTime="682267" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="The sum of the products of any two columns is zero." xmpDM:startTime="682267" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="åi xijxil=0 8 j¹ l The sum of the squares of each column is 27-4, that is, 8." xmpDM:startTime="682267" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="åi xij2 = 8 8 j" xmpDM:startTime="682267" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Analysis of Frac." xmpDM:startTime="683733" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Factorial Designs Model: Effects can be computed using inner products." xmpDM:startTime="683733" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp TP_tmp TP_tmp" xmpDM:startTime="683733" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 19.1" xmpDM:startTime="691300" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Factors A through G explain 37.26%," xmpDM:startTime="691300" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="4.47%," xmpDM:startTime="691300" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="43.40%," xmpDM:startTime="691300" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="6.75%," xmpDM:startTime="691300" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="0%, 8.06%," xmpDM:startTime="691300" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="and 0.03%" xmpDM:startTime="691300" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="of variation, respectively." xmpDM:startTime="691300" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name=" Use only factors C and A for further experimentation." xmpDM:startTime="691300" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp" xmpDM:startTime="691300" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Sign Table for a 2k-p Design Steps: Prepare a sign table for a full factorial design with k-p factors." xmpDM:startTime="692267" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Mark the first column I." xmpDM:startTime="692267" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Mark the next k-p columns with the k-p factors." xmpDM:startTime="692267" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Of the (2k-p-k+p-1) columns on the right, choose p columns and mark them with the p factors which were not" xmpDM:startTime="692267" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="chosen in step 1." xmpDM:startTime="692267" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="" xmpDM:startTime="692267" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example: 27-4 Design TP_tmp" xmpDM:startTime="693267" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example: 24-1 Design TP_tmp" xmpDM:startTime="693833" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding Confounding: Only the combined influence of two or more effects can be computed." xmpDM:startTime="694533" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp TP_tmp" xmpDM:startTime="694533" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding (Cont) ) Effects of D and ABC are confounded." xmpDM:startTime="695400" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Not a problem if qABC is negligible." xmpDM:startTime="695400" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp TP_tmp TP_tmp" xmpDM:startTime="695400" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding Confounding: Only the combined influence of two or more effects can be computed." xmpDM:startTime="704000" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp TP_tmp" xmpDM:startTime="704000" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding (Cont) ) Effects of D and ABC are confounded." xmpDM:startTime="707700" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Not a problem if qABC is negligible." xmpDM:startTime="707700" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp TP_tmp TP_tmp" xmpDM:startTime="707700" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding (Cont) Confounding representation: D=ABC Other Confoundings: I=ABCD ) confounding of ABCD with the mean." xmpDM:startTime="748733" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp TP_tmp TP_tmp" xmpDM:startTime="748733" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Other Fractional Factorial Designs A fractional factorial design is not unique." xmpDM:startTime="748933" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="2p different designs." xmpDM:startTime="748933" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confoundings: Not as good as the previous design." xmpDM:startTime="748933" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp TP_tmp" xmpDM:startTime="748933" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Algebra of Confounding Given just one confounding, it is possible to list all other confoundings." xmpDM:startTime="749067" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Rules: I is treated as unity." xmpDM:startTime="749067" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Any term with a power of 2 is erased." xmpDM:startTime="749067" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Multiplying both sides by A: Multiplying both sides by B, C, D, and AB: TP_tmp TP_tmp" xmpDM:startTime="749067" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Algebra of Confounding (Cont) and so on." xmpDM:startTime="749200" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Generator polynomial: I=ABCD For the second design: I=ABC." xmpDM:startTime="749200" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="In a 2k-p design, 2p effects are confounded together." xmpDM:startTime="749200" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp" xmpDM:startTime="749200" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 19.7" xmpDM:startTime="749367" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="In the 27-4 design: Using products of all subsets: TP_tmp TP_tmp" xmpDM:startTime="749367" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 19.7" xmpDM:startTime="750000" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="(Cont) Other confoundings: TP_tmp" xmpDM:startTime="750000" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Design Resolution Order of an effect = Number of terms Order of ABCD = 4, order of I = 0." xmpDM:startTime="750267" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Order of a confounding = Sum of order of two terms E.g.," xmpDM:startTime="750267" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="AB=CDE is of order 5." xmpDM:startTime="750267" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Resolution of a Design = Minimum of orders of confoundings Notation: RIII = Resolution-III = 2k-pIII Example 1: I=ABCD " xmpDM:startTime="750267" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="RIV = Resolution-IV = 24-1IV TP_tmp" xmpDM:startTime="750267" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Design Resolution (Cont) Example 2: I = ABD  RIII design." xmpDM:startTime="750500" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 3: This is a resolution-III design." xmpDM:startTime="750500" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="A design of higher resolution is considered a better design." xmpDM:startTime="750500" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp" xmpDM:startTime="750500" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Design Resolution Order of an effect = Number of terms Order of ABCD = 4, order of I = 0." xmpDM:startTime="751300" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Order of a confounding = Sum of order of two terms E.g.," xmpDM:startTime="751300" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="AB=CDE is of order 5." xmpDM:startTime="751300" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Resolution of a Design = Minimum of orders of confoundings Notation: RIII = Resolution-III = 2k-pIII Example 1: I=ABCD " xmpDM:startTime="751300" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="RIV = Resolution-IV = 24-1IV TP_tmp" xmpDM:startTime="751300" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Design Resolution (Cont) Example 2: I = ABD  RIII design." xmpDM:startTime="751767" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 3: This is a resolution-III design." xmpDM:startTime="751767" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="A design of higher resolution is considered a better design." xmpDM:startTime="751767" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp" xmpDM:startTime="751767" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Design Resolution Order of an effect = Number of terms Order of ABCD = 4, order of I = 0." xmpDM:startTime="752600" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Order of a confounding = Sum of order of two terms E.g.," xmpDM:startTime="752600" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="AB=CDE is of order 5." xmpDM:startTime="752600" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Resolution of a Design = Minimum of orders of confoundings Notation: RIII = Resolution-III = 2k-pIII Example 1: I=ABCD " xmpDM:startTime="752600" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="RIV = Resolution-IV = 24-1IV TP_tmp" xmpDM:startTime="752600" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Design Resolution (Cont) Example 2: I = ABD  RIII design." xmpDM:startTime="899600" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 3: This is a resolution-III design." xmpDM:startTime="899600" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="A design of higher resolution is considered a better design." xmpDM:startTime="899600" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp" xmpDM:startTime="899600" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1:" xmpDM:startTime="996467" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Latex vs." xmpDM:startTime="996467" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="troff TP_tmp" xmpDM:startTime="996467" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Design Resolution (Cont) Example 2: I = ABD  RIII design." xmpDM:startTime="998000" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 3: This is a resolution-III design." xmpDM:startTime="998000" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="A design of higher resolution is considered a better design." xmpDM:startTime="998000" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp" xmpDM:startTime="998000" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Design Resolution Order of an effect = Number of terms Order of ABCD = 4, order of I = 0." xmpDM:startTime="998233" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Order of a confounding = Sum of order of two terms E.g.," xmpDM:startTime="998233" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="AB=CDE is of order 5." xmpDM:startTime="998233" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Resolution of a Design = Minimum of orders of confoundings Notation: RIII = Resolution-III = 2k-pIII Example 1: I=ABCD " xmpDM:startTime="998233" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="RIV = Resolution-IV = 24-1IV TP_tmp" xmpDM:startTime="998233" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 19.7" xmpDM:startTime="998400" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="(Cont) Other confoundings: TP_tmp" xmpDM:startTime="998400" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 19.7" xmpDM:startTime="998733" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="In the 27-4 design: Using products of all subsets: TP_tmp TP_tmp" xmpDM:startTime="998733" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Algebra of Confounding (Cont) and so on." xmpDM:startTime="999600" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Generator polynomial: I=ABCD For the second design: I=ABC." xmpDM:startTime="999600" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="In a 2k-p design, 2p effects are confounded together." xmpDM:startTime="999600" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp" xmpDM:startTime="999600" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Algebra of Confounding Given just one confounding, it is possible to list all other confoundings." xmpDM:startTime="1000033" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Rules: I is treated as unity." xmpDM:startTime="1000033" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Any term with a power of 2 is erased." xmpDM:startTime="1000033" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Multiplying both sides by A: Multiplying both sides by B, C, D, and AB: TP_tmp TP_tmp" xmpDM:startTime="1000033" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Other Fractional Factorial Designs A fractional factorial design is not unique." xmpDM:startTime="1000400" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="2p different designs." xmpDM:startTime="1000400" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confoundings: Not as good as the previous design." xmpDM:startTime="1000400" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp TP_tmp" xmpDM:startTime="1000400" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding (Cont) Confounding representation: D=ABC Other Confoundings: I=ABCD ) confounding of ABCD with the mean." xmpDM:startTime="1000667" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp TP_tmp TP_tmp" xmpDM:startTime="1000667" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Other Fractional Factorial Designs A fractional factorial design is not unique." xmpDM:startTime="1001267" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="2p different designs." xmpDM:startTime="1001267" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confoundings: Not as good as the previous design." xmpDM:startTime="1001267" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp TP_tmp" xmpDM:startTime="1001267" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding (Cont) Confounding representation: D=ABC Other Confoundings: I=ABCD ) confounding of ABCD with the mean." xmpDM:startTime="1006933" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp TP_tmp TP_tmp" xmpDM:startTime="1006933" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding (Cont) ) Effects of D and ABC are confounded." xmpDM:startTime="1007367" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Not a problem if qABC is negligible." xmpDM:startTime="1007367" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp TP_tmp TP_tmp" xmpDM:startTime="1007367" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding Confounding: Only the combined influence of two or more effects can be computed." xmpDM:startTime="1007567" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp TP_tmp" xmpDM:startTime="1007567" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example: 24-1 Design TP_tmp" xmpDM:startTime="1007800" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example: 27-4 Design TP_tmp" xmpDM:startTime="1009700" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example: 24-1 Design TP_tmp" xmpDM:startTime="1010467" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding Confounding: Only the combined influence of two or more effects can be computed." xmpDM:startTime="1010633" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp TP_tmp" xmpDM:startTime="1010633" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example: 24-1 Design TP_tmp" xmpDM:startTime="1011367" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example: 27-4 Design TP_tmp" xmpDM:startTime="1011467" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Sign Table for a 2k-p Design Steps: Prepare a sign table for a full factorial design with k-p factors." xmpDM:startTime="1011800" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Mark the first column I." xmpDM:startTime="1011800" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Mark the next k-p columns with the k-p factors." xmpDM:startTime="1011800" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Of the (2k-p-k+p-1) columns on the right, choose p columns and mark them with the p factors which were not" xmpDM:startTime="1011800" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="chosen in step 1." xmpDM:startTime="1011800" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="" xmpDM:startTime="1011800" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example: 27-4 Design TP_tmp" xmpDM:startTime="1012200" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example: 24-1 Design TP_tmp" xmpDM:startTime="1076533" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding Confounding: Only the combined influence of two or more effects can be computed." xmpDM:startTime="1076700" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp TP_tmp" xmpDM:startTime="1076700" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding (Cont) ) Effects of D and ABC are confounded." xmpDM:startTime="1076900" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Not a problem if qABC is negligible." xmpDM:startTime="1076900" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp TP_tmp TP_tmp" xmpDM:startTime="1076900" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding (Cont) Confounding representation: D=ABC Other Confoundings: I=ABCD ) confounding of ABCD with the mean." xmpDM:startTime="1077133" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp TP_tmp TP_tmp" xmpDM:startTime="1077133" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Other Fractional Factorial Designs A fractional factorial design is not unique." xmpDM:startTime="1077600" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="2p different designs." xmpDM:startTime="1077600" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confoundings: Not as good as the previous design." xmpDM:startTime="1077600" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp TP_tmp" xmpDM:startTime="1077600" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Algebra of Confounding Given just one confounding, it is possible to list all other confoundings." xmpDM:startTime="1077700" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Rules: I is treated as unity." xmpDM:startTime="1077700" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Any term with a power of 2 is erased." xmpDM:startTime="1077700" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Multiplying both sides by A: Multiplying both sides by B, C, D, and AB: TP_tmp TP_tmp" xmpDM:startTime="1077700" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Algebra of Confounding (Cont) and so on." xmpDM:startTime="1077800" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Generator polynomial: I=ABCD For the second design: I=ABC." xmpDM:startTime="1077800" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="In a 2k-p design, 2p effects are confounded together." xmpDM:startTime="1077800" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp" xmpDM:startTime="1077800" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 19.7" xmpDM:startTime="1078000" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="In the 27-4 design: Using products of all subsets: TP_tmp TP_tmp" xmpDM:startTime="1078000" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 19.7" xmpDM:startTime="1078367" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="(Cont) Other confoundings: TP_tmp" xmpDM:startTime="1078367" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Design Resolution Order of an effect = Number of terms Order of ABCD = 4, order of I = 0." xmpDM:startTime="1078900" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Order of a confounding = Sum of order of two terms E.g.," xmpDM:startTime="1078900" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="AB=CDE is of order 5." xmpDM:startTime="1078900" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Resolution of a Design = Minimum of orders of confoundings Notation: RIII = Resolution-III = 2k-pIII Example 1: I=ABCD " xmpDM:startTime="1078900" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="RIV = Resolution-IV = 24-1IV TP_tmp" xmpDM:startTime="1078900" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Design Resolution (Cont) Example 2: I = ABD  RIII design." xmpDM:startTime="1079400" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 3: This is a resolution-III design." xmpDM:startTime="1079400" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="A design of higher resolution is considered a better design." xmpDM:startTime="1079400" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp" xmpDM:startTime="1079400" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1:" xmpDM:startTime="1079633" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Latex vs." xmpDM:startTime="1079633" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="troff TP_tmp" xmpDM:startTime="1079633" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Design Resolution (Cont) Example 2: I = ABD  RIII design." xmpDM:startTime="1081067" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 3: This is a resolution-III design." xmpDM:startTime="1081067" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="A design of higher resolution is considered a better design." xmpDM:startTime="1081067" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp" xmpDM:startTime="1081067" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1:" xmpDM:startTime="1084567" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Latex vs." xmpDM:startTime="1084567" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="troff TP_tmp" xmpDM:startTime="1084567" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1" xmpDM:startTime="1187833" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="(Cont) Design: 26-1 with I=BCDEF TP_tmp" xmpDM:startTime="1187833" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1:" xmpDM:startTime="1323300" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Conclusions Over 90% of the variation is due to: Bytes, Program, and Equations and a second order interaction." xmpDM:startTime="1323300" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Text file size were significantly different making it's effect more than that of the programs." xmpDM:startTime="1323300" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="High percentage of variation explained by the ``program £ Equation'' interaction  Choice of the text formatting program depends upon" xmpDM:startTime="1323300" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="the number of equations in the text." xmpDM:startTime="1323300" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="troff not as good for equations." xmpDM:startTime="1323300" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp" xmpDM:startTime="1323300" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1" xmpDM:startTime="1331767" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="(Cont) Design: 26-1 with I=BCDEF TP_tmp" xmpDM:startTime="1331767" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1:" xmpDM:startTime="1337000" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Conclusions Over 90% of the variation is due to: Bytes, Program, and Equations and a second order interaction." xmpDM:startTime="1337000" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Text file size were significantly different making it's effect more than that of the programs." xmpDM:startTime="1337000" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="High percentage of variation explained by the ``program £ Equation'' interaction  Choice of the text formatting program depends upon" xmpDM:startTime="1337000" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="the number of equations in the text." xmpDM:startTime="1337000" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="troff not as good for equations." xmpDM:startTime="1337000" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp" xmpDM:startTime="1337000" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1" xmpDM:startTime="1342467" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="(Cont) Design: 26-1 with I=BCDEF TP_tmp" xmpDM:startTime="1342467" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1:" xmpDM:startTime="1343200" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Latex vs." xmpDM:startTime="1343200" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="troff TP_tmp" xmpDM:startTime="1343200" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1" xmpDM:startTime="1360067" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="(Cont) Design: 26-1 with I=BCDEF TP_tmp" xmpDM:startTime="1360067" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1:" xmpDM:startTime="1360967" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Conclusions Over 90% of the variation is due to: Bytes, Program, and Equations and a second order interaction." xmpDM:startTime="1360967" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Text file size were significantly different making it's effect more than that of the programs." xmpDM:startTime="1360967" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="High percentage of variation explained by the ``program £ Equation'' interaction  Choice of the text formatting program depends upon" xmpDM:startTime="1360967" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="the number of equations in the text." xmpDM:startTime="1360967" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="troff not as good for equations." xmpDM:startTime="1360967" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp" xmpDM:startTime="1360967" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1:" xmpDM:startTime="1417200" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Conclusions (Cont) Low ``Program £ Bytes'' interaction ) Changing the file size affects both programs in a similar manner." xmpDM:startTime="1417200" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="In next phase, reduce range of file sizes." xmpDM:startTime="1417200" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Alternately, increase the number of levels of file sizes." xmpDM:startTime="1417200" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="" xmpDM:startTime="1417200" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1:" xmpDM:startTime="1427433" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Conclusions Over 90% of the variation is due to: Bytes, Program, and Equations and a second order interaction." xmpDM:startTime="1427433" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Text file size were significantly different making it's effect more than that of the programs." xmpDM:startTime="1427433" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="High percentage of variation explained by the ``program £ Equation'' interaction  Choice of the text formatting program depends upon" xmpDM:startTime="1427433" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="the number of equations in the text." xmpDM:startTime="1427433" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="troff not as good for equations." xmpDM:startTime="1427433" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp" xmpDM:startTime="1427433" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1" xmpDM:startTime="1428700" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="(Cont) Design: 26-1 with I=BCDEF TP_tmp" xmpDM:startTime="1428700" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1:" xmpDM:startTime="1434800" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Conclusions Over 90% of the variation is due to: Bytes, Program, and Equations and a second order interaction." xmpDM:startTime="1434800" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Text file size were significantly different making it's effect more than that of the programs." xmpDM:startTime="1434800" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="High percentage of variation explained by the ``program £ Equation'' interaction  Choice of the text formatting program depends upon" xmpDM:startTime="1434800" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="the number of equations in the text." xmpDM:startTime="1434800" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="troff not as good for equations." xmpDM:startTime="1434800" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp" xmpDM:startTime="1434800" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1:" xmpDM:startTime="1435533" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Conclusions (Cont) Low ``Program £ Bytes'' interaction ) Changing the file size affects both programs in a similar manner." xmpDM:startTime="1435533" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="In next phase, reduce range of file sizes." xmpDM:startTime="1435533" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Alternately, increase the number of levels of file sizes." xmpDM:startTime="1435533" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="" xmpDM:startTime="1435533" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1:" xmpDM:startTime="1436333" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Conclusions Over 90% of the variation is due to: Bytes, Program, and Equations and a second order interaction." xmpDM:startTime="1436333" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Text file size were significantly different making it's effect more than that of the programs." xmpDM:startTime="1436333" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="High percentage of variation explained by the ``program £ Equation'' interaction  Choice of the text formatting program depends upon" xmpDM:startTime="1436333" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="the number of equations in the text." xmpDM:startTime="1436333" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="troff not as good for equations." xmpDM:startTime="1436333" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp" xmpDM:startTime="1436333" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1:" xmpDM:startTime="1436767" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Conclusions (Cont) Low ``Program £ Bytes'' interaction ) Changing the file size affects both programs in a similar manner." xmpDM:startTime="1436767" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="In next phase, reduce range of file sizes." xmpDM:startTime="1436767" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Alternately, increase the number of levels of file sizes." xmpDM:startTime="1436767" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="" xmpDM:startTime="1436767" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Summary Fractional factorial designs allow a large number of variables to be analyzed with a small number of experiments Many" xmpDM:startTime="1451233" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="effects and interactions are confounded The resolution of a design is the sum of the order of confounded effects A" xmpDM:startTime="1451233" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="design with higher resolution is considered better" xmpDM:startTime="1451233" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1:" xmpDM:startTime="1451800" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Conclusions (Cont) Low ``Program £ Bytes'' interaction ) Changing the file size affects both programs in a similar manner." xmpDM:startTime="1451800" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="In next phase, reduce range of file sizes." xmpDM:startTime="1451800" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Alternately, increase the number of levels of file sizes." xmpDM:startTime="1451800" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="" xmpDM:startTime="1451800" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1:" xmpDM:startTime="1453100" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Conclusions Over 90% of the variation is due to: Bytes, Program, and Equations and a second order interaction." xmpDM:startTime="1453100" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Text file size were significantly different making it's effect more than that of the programs." xmpDM:startTime="1453100" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="High percentage of variation explained by the ``program £ Equation'' interaction  Choice of the text formatting program depends upon" xmpDM:startTime="1453100" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="the number of equations in the text." xmpDM:startTime="1453100" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="troff not as good for equations." xmpDM:startTime="1453100" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp" xmpDM:startTime="1453100" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1:" xmpDM:startTime="1466933" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Conclusions (Cont) Low ``Program £ Bytes'' interaction ) Changing the file size affects both programs in a similar manner." xmpDM:startTime="1466933" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="In next phase, reduce range of file sizes." xmpDM:startTime="1466933" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Alternately, increase the number of levels of file sizes." xmpDM:startTime="1466933" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="" xmpDM:startTime="1466933" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1:" xmpDM:startTime="1467800" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Conclusions Over 90% of the variation is due to: Bytes, Program, and Equations and a second order interaction." xmpDM:startTime="1467800" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Text file size were significantly different making it's effect more than that of the programs." xmpDM:startTime="1467800" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="High percentage of variation explained by the ``program £ Equation'' interaction  Choice of the text formatting program depends upon" xmpDM:startTime="1467800" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="the number of equations in the text." xmpDM:startTime="1467800" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="troff not as good for equations." xmpDM:startTime="1467800" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp" xmpDM:startTime="1467800" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1" xmpDM:startTime="1468233" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="(Cont) Design: 26-1 with I=BCDEF TP_tmp" xmpDM:startTime="1468233" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1:" xmpDM:startTime="1701467" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Latex vs." xmpDM:startTime="1701467" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="troff TP_tmp" xmpDM:startTime="1701467" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Design Resolution (Cont) Example 2: I = ABD  RIII design." xmpDM:startTime="1701567" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 3: This is a resolution-III design." xmpDM:startTime="1701567" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="A design of higher resolution is considered a better design." xmpDM:startTime="1701567" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp" xmpDM:startTime="1701567" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Design Resolution Order of an effect = Number of terms Order of ABCD = 4, order of I = 0." xmpDM:startTime="1701800" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Order of a confounding = Sum of order of two terms E.g.," xmpDM:startTime="1701800" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="AB=CDE is of order 5." xmpDM:startTime="1701800" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Resolution of a Design = Minimum of orders of confoundings Notation: RIII = Resolution-III = 2k-pIII Example 1: I=ABCD " xmpDM:startTime="1701800" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="RIV = Resolution-IV = 24-1IV TP_tmp" xmpDM:startTime="1701800" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 19.7" xmpDM:startTime="1702267" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="(Cont) Other confoundings: TP_tmp" xmpDM:startTime="1702267" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 19.7" xmpDM:startTime="1702733" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="In the 27-4 design: Using products of all subsets: TP_tmp TP_tmp" xmpDM:startTime="1702733" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Algebra of Confounding (Cont) and so on." xmpDM:startTime="1703133" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Generator polynomial: I=ABCD For the second design: I=ABC." xmpDM:startTime="1703133" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="In a 2k-p design, 2p effects are confounded together." xmpDM:startTime="1703133" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp" xmpDM:startTime="1703133" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Algebra of Confounding Given just one confounding, it is possible to list all other confoundings." xmpDM:startTime="1703867" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Rules: I is treated as unity." xmpDM:startTime="1703867" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Any term with a power of 2 is erased." xmpDM:startTime="1703867" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Multiplying both sides by A: Multiplying both sides by B, C, D, and AB: TP_tmp TP_tmp" xmpDM:startTime="1703867" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Other Fractional Factorial Designs A fractional factorial design is not unique." xmpDM:startTime="1704700" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="2p different designs." xmpDM:startTime="1704700" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confoundings: Not as good as the previous design." xmpDM:startTime="1704700" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp TP_tmp" xmpDM:startTime="1704700" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Algebra of Confounding Given just one confounding, it is possible to list all other confoundings." xmpDM:startTime="1711033" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Rules: I is treated as unity." xmpDM:startTime="1711033" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Any term with a power of 2 is erased." xmpDM:startTime="1711033" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Multiplying both sides by A: Multiplying both sides by B, C, D, and AB: TP_tmp TP_tmp" xmpDM:startTime="1711033" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Algebra of Confounding (Cont) and so on." xmpDM:startTime="1723600" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Generator polynomial: I=ABCD For the second design: I=ABC." xmpDM:startTime="1723600" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="In a 2k-p design, 2p effects are confounded together." xmpDM:startTime="1723600" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp" xmpDM:startTime="1723600" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 19.7" xmpDM:startTime="1723800" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="In the 27-4 design: Using products of all subsets: TP_tmp TP_tmp" xmpDM:startTime="1723800" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 19.7" xmpDM:startTime="1724033" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="(Cont) Other confoundings: TP_tmp" xmpDM:startTime="1724033" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Design Resolution Order of an effect = Number of terms Order of ABCD = 4, order of I = 0." xmpDM:startTime="1724167" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Order of a confounding = Sum of order of two terms E.g.," xmpDM:startTime="1724167" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="AB=CDE is of order 5." xmpDM:startTime="1724167" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Resolution of a Design = Minimum of orders of confoundings Notation: RIII = Resolution-III = 2k-pIII Example 1: I=ABCD " xmpDM:startTime="1724167" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="RIV = Resolution-IV = 24-1IV TP_tmp" xmpDM:startTime="1724167" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Design Resolution (Cont) Example 2: I = ABD  RIII design." xmpDM:startTime="1724333" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 3: This is a resolution-III design." xmpDM:startTime="1724333" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="A design of higher resolution is considered a better design." xmpDM:startTime="1724333" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp" xmpDM:startTime="1724333" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1:" xmpDM:startTime="1724867" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Latex vs." xmpDM:startTime="1724867" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="troff TP_tmp" xmpDM:startTime="1724867" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1" xmpDM:startTime="1725000" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="(Cont) Design: 26-1 with I=BCDEF TP_tmp" xmpDM:startTime="1725000" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1:" xmpDM:startTime="1725467" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Conclusions Over 90% of the variation is due to: Bytes, Program, and Equations and a second order interaction." xmpDM:startTime="1725467" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Text file size were significantly different making it's effect more than that of the programs." xmpDM:startTime="1725467" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="High percentage of variation explained by the ``program £ Equation'' interaction  Choice of the text formatting program depends upon" xmpDM:startTime="1725467" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="the number of equations in the text." xmpDM:startTime="1725467" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="troff not as good for equations." xmpDM:startTime="1725467" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp" xmpDM:startTime="1725467" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1" xmpDM:startTime="1726000" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="(Cont) Design: 26-1 with I=BCDEF TP_tmp" xmpDM:startTime="1726000" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1:" xmpDM:startTime="1792733" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Latex vs." xmpDM:startTime="1792733" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="troff TP_tmp" xmpDM:startTime="1792733" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Design Resolution (Cont) Example 2: I = ABD  RIII design." xmpDM:startTime="1792867" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 3: This is a resolution-III design." xmpDM:startTime="1792867" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="A design of higher resolution is considered a better design." xmpDM:startTime="1792867" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp" xmpDM:startTime="1792867" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Design Resolution Order of an effect = Number of terms Order of ABCD = 4, order of I = 0." xmpDM:startTime="1793233" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Order of a confounding = Sum of order of two terms E.g.," xmpDM:startTime="1793233" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="AB=CDE is of order 5." xmpDM:startTime="1793233" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Resolution of a Design = Minimum of orders of confoundings Notation: RIII = Resolution-III = 2k-pIII Example 1: I=ABCD " xmpDM:startTime="1793233" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="RIV = Resolution-IV = 24-1IV TP_tmp" xmpDM:startTime="1793233" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 19.7" xmpDM:startTime="1793367" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="(Cont) Other confoundings: TP_tmp" xmpDM:startTime="1793367" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 19.7" xmpDM:startTime="1793533" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="In the 27-4 design: Using products of all subsets: TP_tmp TP_tmp" xmpDM:startTime="1793533" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Algebra of Confounding (Cont) and so on." xmpDM:startTime="1793733" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Generator polynomial: I=ABCD For the second design: I=ABC." xmpDM:startTime="1793733" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="In a 2k-p design, 2p effects are confounded together." xmpDM:startTime="1793733" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp" xmpDM:startTime="1793733" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Algebra of Confounding Given just one confounding, it is possible to list all other confoundings." xmpDM:startTime="1794100" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Rules: I is treated as unity." xmpDM:startTime="1794100" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Any term with a power of 2 is erased." xmpDM:startTime="1794100" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Multiplying both sides by A: Multiplying both sides by B, C, D, and AB: TP_tmp TP_tmp" xmpDM:startTime="1794100" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Other Fractional Factorial Designs A fractional factorial design is not unique." xmpDM:startTime="1794400" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="2p different designs." xmpDM:startTime="1794400" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confoundings: Not as good as the previous design." xmpDM:startTime="1794400" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp TP_tmp" xmpDM:startTime="1794400" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Algebra of Confounding Given just one confounding, it is possible to list all other confoundings." xmpDM:startTime="2039800" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Rules: I is treated as unity." xmpDM:startTime="2039800" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Any term with a power of 2 is erased." xmpDM:startTime="2039800" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Multiplying both sides by A: Multiplying both sides by B, C, D, and AB: TP_tmp TP_tmp" xmpDM:startTime="2039800" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Algebra of Confounding (Cont) and so on." xmpDM:startTime="2040667" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Generator polynomial: I=ABCD For the second design: I=ABC." xmpDM:startTime="2040667" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="In a 2k-p design, 2p effects are confounded together." xmpDM:startTime="2040667" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp" xmpDM:startTime="2040667" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 19.7" xmpDM:startTime="2040767" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="In the 27-4 design: Using products of all subsets: TP_tmp TP_tmp" xmpDM:startTime="2040767" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 19.7" xmpDM:startTime="2040833" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="(Cont) Other confoundings: TP_tmp" xmpDM:startTime="2040833" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Design Resolution Order of an effect = Number of terms Order of ABCD = 4, order of I = 0." xmpDM:startTime="2040900" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Order of a confounding = Sum of order of two terms E.g.," xmpDM:startTime="2040900" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="AB=CDE is of order 5." xmpDM:startTime="2040900" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Resolution of a Design = Minimum of orders of confoundings Notation: RIII = Resolution-III = 2k-pIII Example 1: I=ABCD " xmpDM:startTime="2040900" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="RIV = Resolution-IV = 24-1IV TP_tmp" xmpDM:startTime="2040900" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Design Resolution (Cont) Example 2: I = ABD  RIII design." xmpDM:startTime="2041000" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 3: This is a resolution-III design." xmpDM:startTime="2041000" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="A design of higher resolution is considered a better design." xmpDM:startTime="2041000" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp" xmpDM:startTime="2041000" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1:" xmpDM:startTime="2041433" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Latex vs." xmpDM:startTime="2041433" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="troff TP_tmp" xmpDM:startTime="2041433" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1" xmpDM:startTime="2041533" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="(Cont) Design: 26-1 with I=BCDEF TP_tmp" xmpDM:startTime="2041533" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1:" xmpDM:startTime="2041667" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Conclusions Over 90% of the variation is due to: Bytes, Program, and Equations and a second order interaction." xmpDM:startTime="2041667" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Text file size were significantly different making it's effect more than that of the programs." xmpDM:startTime="2041667" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="High percentage of variation explained by the ``program £ Equation'' interaction  Choice of the text formatting program depends upon" xmpDM:startTime="2041667" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="the number of equations in the text." xmpDM:startTime="2041667" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="troff not as good for equations." xmpDM:startTime="2041667" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="TP_tmp" xmpDM:startTime="2041667" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1:" xmpDM:startTime="2041900" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Conclusions (Cont) Low ``Program £ Bytes'' interaction ) Changing the file size affects both programs in a similar manner." xmpDM:startTime="2041900" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="In next phase, reduce range of file sizes." xmpDM:startTime="2041900" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Alternately, increase the number of levels of file sizes." xmpDM:startTime="2041900" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="" xmpDM:startTime="2041900" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Summary Fractional factorial designs allow a large number of variables to be analyzed with a small number of experiments Many" xmpDM:startTime="2041967" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="effects and interactions are confounded The resolution of a design is the sum of the order of confounded effects A" xmpDM:startTime="2041967" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="design with higher resolution is considered better" xmpDM:startTime="2041967" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Homework 19 Updated Exercise 19.1" xmpDM:startTime="2105767" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Analyze the 24-1 design: Quantify all main effects." xmpDM:startTime="2105767" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Quantify percentages of variation explained." xmpDM:startTime="2105767" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Sort the variables in the order of decreasing importance." xmpDM:startTime="2105767" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="List all confoundings." xmpDM:startTime="2105767" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Can you propose a better design with the same number of experiments." xmpDM:startTime="2105767" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="What is the resolution of the design? TP_tmp" xmpDM:startTime="2105767" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Scan This to Download These Slides thankyou Raj Jain http://rajjain.com" xmpDM:startTime="2198533" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="" xmpDM:startTime="2198533" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Homework 19 Updated Exercise 19.1" xmpDM:startTime="2200300" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Analyze the 24-1 design: Quantify all main effects." xmpDM:startTime="2200300" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Quantify percentages of variation explained." xmpDM:startTime="2200300" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Sort the variables in the order of decreasing importance." xmpDM:startTime="2200300" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="List all confoundings." xmpDM:startTime="2200300" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Can you propose a better design with the same number of experiments." xmpDM:startTime="2200300" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="What is the resolution of the design? TP_tmp" xmpDM:startTime="2200300" xmpDM:duration="1000"/></rdf:li></rdf:Seq>
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                        <rdf:Seq>
                           <rdf:li><rdf:Description xmpDM:name="Algebra of Confounding" xmpDM:startTime="0" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="0" tscDM:imageoffset="0" tscDM:imagerect="0, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Algebra of Confounding (Cont)" xmpDM:startTime="45467" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="1" tscDM:imageoffset="0" tscDM:imagerect="75, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Algebra of Confounding" xmpDM:startTime="76733" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="2" tscDM:imageoffset="0" tscDM:imagerect="150, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Other Fractional Factorial Designs" xmpDM:startTime="77167" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="3" tscDM:imageoffset="0" tscDM:imagerect="225, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Algebra of Confounding" xmpDM:startTime="110700" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="4" tscDM:imageoffset="0" tscDM:imagerect="300, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Algebra of Confounding (Cont)" xmpDM:startTime="111467" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="5" tscDM:imageoffset="0" tscDM:imagerect="375, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 19.7" xmpDM:startTime="112467" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="6" tscDM:imageoffset="0" tscDM:imagerect="450, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Algebra of Confounding (Cont)" xmpDM:startTime="112933" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="7" tscDM:imageoffset="0" tscDM:imagerect="525, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Algebra of Confounding" xmpDM:startTime="115967" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="8" tscDM:imageoffset="0" tscDM:imagerect="600, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Other Fractional Factorial Designs" xmpDM:startTime="116267" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="9" tscDM:imageoffset="0" tscDM:imagerect="675, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding (Cont)" xmpDM:startTime="116333" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="10" tscDM:imageoffset="0" tscDM:imagerect="750, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding (Cont)" xmpDM:startTime="116433" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="11" tscDM:imageoffset="0" tscDM:imagerect="825, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding" xmpDM:startTime="116533" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="12" tscDM:imageoffset="0" tscDM:imagerect="900, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example: 24-1 Design" xmpDM:startTime="117300" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="13" tscDM:imageoffset="0" tscDM:imagerect="975, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example: 27-4 Design " xmpDM:startTime="118000" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="14" tscDM:imageoffset="0" tscDM:imagerect="1050, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Sign Table for a 2k-p Design " xmpDM:startTime="120500" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="15" tscDM:imageoffset="0" tscDM:imagerect="1125, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example: 27-4 Design " xmpDM:startTime="121733" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="16" tscDM:imageoffset="0" tscDM:imagerect="1200, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example: 24-1 Design" xmpDM:startTime="122400" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="17" tscDM:imageoffset="0" tscDM:imagerect="1275, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding" xmpDM:startTime="124533" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="18" tscDM:imageoffset="0" tscDM:imagerect="1350, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example: 24-1 Design" xmpDM:startTime="125367" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="19" tscDM:imageoffset="0" tscDM:imagerect="1425, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding" xmpDM:startTime="126167" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="20" tscDM:imageoffset="0" tscDM:imagerect="1500, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example: 24-1 Design" xmpDM:startTime="127200" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="21" tscDM:imageoffset="0" tscDM:imagerect="1575, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding" xmpDM:startTime="129500" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="22" tscDM:imageoffset="0" tscDM:imagerect="1650, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding (Cont)" xmpDM:startTime="130433" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="23" tscDM:imageoffset="0" tscDM:imagerect="1725, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding" xmpDM:startTime="130900" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="24" tscDM:imageoffset="0" tscDM:imagerect="1800, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example: 24-1 Design" xmpDM:startTime="130967" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="25" tscDM:imageoffset="0" tscDM:imagerect="1875, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example: 27-4 Design " xmpDM:startTime="131233" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="26" tscDM:imageoffset="0" tscDM:imagerect="1950, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Sign Table for a 2k-p Design " xmpDM:startTime="131700" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="27" tscDM:imageoffset="0" tscDM:imagerect="2025, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 19.1" xmpDM:startTime="132567" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="28" tscDM:imageoffset="0" tscDM:imagerect="2100, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Sign Table for a 2k-p Design " xmpDM:startTime="133867" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="29" tscDM:imageoffset="0" tscDM:imagerect="2175, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example: 27-4 Design " xmpDM:startTime="134700" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="30" tscDM:imageoffset="0" tscDM:imagerect="2250, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example: 24-1 Design" xmpDM:startTime="134867" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="31" tscDM:imageoffset="0" tscDM:imagerect="2325, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding" xmpDM:startTime="135500" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="32" tscDM:imageoffset="0" tscDM:imagerect="2400, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example: 24-1 Design" xmpDM:startTime="136167" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="33" tscDM:imageoffset="0" tscDM:imagerect="2475, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example: 27-4 Design " xmpDM:startTime="136233" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="34" tscDM:imageoffset="0" tscDM:imagerect="2550, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example: 24-1 Design" xmpDM:startTime="137200" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="35" tscDM:imageoffset="0" tscDM:imagerect="2625, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding" xmpDM:startTime="137767" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="36" tscDM:imageoffset="0" tscDM:imagerect="2700, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example: 24-1 Design" xmpDM:startTime="138133" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="37" tscDM:imageoffset="0" tscDM:imagerect="2775, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding" xmpDM:startTime="140300" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="38" tscDM:imageoffset="0" tscDM:imagerect="2850, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding (Cont)" xmpDM:startTime="141300" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="39" tscDM:imageoffset="0" tscDM:imagerect="2925, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding (Cont)" xmpDM:startTime="142233" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="40" tscDM:imageoffset="0" tscDM:imagerect="3000, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Other Fractional Factorial Designs" xmpDM:startTime="142733" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="41" tscDM:imageoffset="0" tscDM:imagerect="3075, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Algebra of Confounding" xmpDM:startTime="151333" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="42" tscDM:imageoffset="0" tscDM:imagerect="3150, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Algebra of Confounding (Cont)" xmpDM:startTime="152100" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="43" tscDM:imageoffset="0" tscDM:imagerect="3225, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Algebra of Confounding" xmpDM:startTime="176200" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="44" tscDM:imageoffset="0" tscDM:imagerect="3300, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Other Fractional Factorial Designs" xmpDM:startTime="176533" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="45" tscDM:imageoffset="0" tscDM:imagerect="3375, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding (Cont)" xmpDM:startTime="176700" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="46" tscDM:imageoffset="0" tscDM:imagerect="3450, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding (Cont)" xmpDM:startTime="177233" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="47" tscDM:imageoffset="0" tscDM:imagerect="3525, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding" xmpDM:startTime="177367" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="48" tscDM:imageoffset="0" tscDM:imagerect="3600, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding (Cont)" xmpDM:startTime="177967" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="49" tscDM:imageoffset="0" tscDM:imagerect="3675, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding (Cont)" xmpDM:startTime="178100" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="50" tscDM:imageoffset="0" tscDM:imagerect="3750, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Other Fractional Factorial Designs" xmpDM:startTime="178600" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="51" tscDM:imageoffset="0" tscDM:imagerect="3825, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Algebra of Confounding" xmpDM:startTime="392200" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="52" tscDM:imageoffset="0" tscDM:imagerect="3900, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Algebra of Confounding (Cont)" xmpDM:startTime="393067" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="53" tscDM:imageoffset="0" tscDM:imagerect="3975, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 19.7" xmpDM:startTime="419200" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="54" tscDM:imageoffset="0" tscDM:imagerect="50, 56, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 19.7 (Cont)" xmpDM:startTime="609700" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="55" tscDM:imageoffset="0" tscDM:imagerect="125, 56, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 19.7" xmpDM:startTime="613200" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="56" tscDM:imageoffset="0" tscDM:imagerect="200, 56, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 19.7 (Cont)" xmpDM:startTime="617600" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="57" tscDM:imageoffset="0" tscDM:imagerect="275, 56, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 19.7" xmpDM:startTime="626267" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="58" tscDM:imageoffset="0" tscDM:imagerect="350, 56, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 19.7 (Cont)" xmpDM:startTime="633933" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="59" tscDM:imageoffset="0" tscDM:imagerect="425, 56, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Design Resolution" xmpDM:startTime="654500" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="60" tscDM:imageoffset="0" tscDM:imagerect="500, 56, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 19.7 (Cont)" xmpDM:startTime="668300" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="61" tscDM:imageoffset="0" tscDM:imagerect="575, 56, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 19.7" xmpDM:startTime="670100" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="62" tscDM:imageoffset="0" tscDM:imagerect="650, 56, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Algebra of Confounding (Cont)" xmpDM:startTime="673167" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="63" tscDM:imageoffset="0" tscDM:imagerect="725, 56, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Algebra of Confounding" xmpDM:startTime="673867" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="64" tscDM:imageoffset="0" tscDM:imagerect="800, 56, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Other Fractional Factorial Designs" xmpDM:startTime="674233" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="65" tscDM:imageoffset="0" tscDM:imagerect="875, 56, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding (Cont)" xmpDM:startTime="674533" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="66" tscDM:imageoffset="0" tscDM:imagerect="950, 56, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding (Cont)" xmpDM:startTime="674867" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="67" tscDM:imageoffset="0" tscDM:imagerect="1025, 56, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding" xmpDM:startTime="675500" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="68" tscDM:imageoffset="0" tscDM:imagerect="1100, 56, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example: 24-1 Design" xmpDM:startTime="675600" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="69" tscDM:imageoffset="0" tscDM:imagerect="1175, 56, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example: 27-4 Design " xmpDM:startTime="675700" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="70" tscDM:imageoffset="0" tscDM:imagerect="1250, 56, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Sign Table for a 2k-p Design " xmpDM:startTime="675833" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="71" tscDM:imageoffset="0" tscDM:imagerect="1325, 56, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 19.1" xmpDM:startTime="676633" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="72" tscDM:imageoffset="0" tscDM:imagerect="1400, 56, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Sign Table for a 2k-p Design " xmpDM:startTime="676900" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="73" tscDM:imageoffset="0" tscDM:imagerect="1475, 56, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 19.1" xmpDM:startTime="677400" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="74" tscDM:imageoffset="0" tscDM:imagerect="1550, 56, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Analysis of Frac. Factorial Designs" xmpDM:startTime="677567" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="75" tscDM:imageoffset="0" tscDM:imagerect="1625, 56, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 19.1" xmpDM:startTime="678533" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="76" tscDM:imageoffset="0" tscDM:imagerect="1700, 56, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Sign Table for a 2k-p Design " xmpDM:startTime="678967" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="77" tscDM:imageoffset="0" tscDM:imagerect="1775, 56, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 19.1" xmpDM:startTime="679400" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="78" tscDM:imageoffset="0" tscDM:imagerect="1850, 56, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Analysis of Frac. Factorial Designs" xmpDM:startTime="680000" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="79" tscDM:imageoffset="0" tscDM:imagerect="1925, 56, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Fractional Design Features" xmpDM:startTime="682267" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="80" tscDM:imageoffset="0" tscDM:imagerect="2000, 56, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Analysis of Frac. Factorial Designs" xmpDM:startTime="683733" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="81" tscDM:imageoffset="0" tscDM:imagerect="2075, 56, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 19.1" xmpDM:startTime="691300" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="82" tscDM:imageoffset="0" tscDM:imagerect="2150, 56, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Sign Table for a 2k-p Design " xmpDM:startTime="692267" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="83" tscDM:imageoffset="0" tscDM:imagerect="2225, 56, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example: 27-4 Design " xmpDM:startTime="693267" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="84" tscDM:imageoffset="0" tscDM:imagerect="2300, 56, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example: 24-1 Design" xmpDM:startTime="693833" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="85" tscDM:imageoffset="0" tscDM:imagerect="2375, 56, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding" xmpDM:startTime="694533" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="86" tscDM:imageoffset="0" tscDM:imagerect="2450, 56, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding (Cont)" xmpDM:startTime="695400" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="87" tscDM:imageoffset="0" tscDM:imagerect="2525, 56, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding" xmpDM:startTime="704000" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="88" tscDM:imageoffset="0" tscDM:imagerect="2600, 56, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding (Cont)" xmpDM:startTime="707700" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="89" tscDM:imageoffset="0" tscDM:imagerect="2675, 56, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding (Cont)" xmpDM:startTime="748733" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="90" tscDM:imageoffset="0" tscDM:imagerect="2750, 56, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Other Fractional Factorial Designs" xmpDM:startTime="748933" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="91" tscDM:imageoffset="0" tscDM:imagerect="2825, 56, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Algebra of Confounding" xmpDM:startTime="749067" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="92" tscDM:imageoffset="0" tscDM:imagerect="2900, 56, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Algebra of Confounding (Cont)" xmpDM:startTime="749200" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="93" tscDM:imageoffset="0" tscDM:imagerect="2975, 56, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 19.7" xmpDM:startTime="749367" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="94" tscDM:imageoffset="0" tscDM:imagerect="3050, 56, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 19.7 (Cont)" xmpDM:startTime="750000" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="95" tscDM:imageoffset="0" tscDM:imagerect="3125, 56, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Design Resolution" xmpDM:startTime="750267" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="96" tscDM:imageoffset="0" tscDM:imagerect="3200, 56, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Design Resolution (Cont)" xmpDM:startTime="750500" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="97" tscDM:imageoffset="0" tscDM:imagerect="3275, 56, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Design Resolution" xmpDM:startTime="751300" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="98" tscDM:imageoffset="0" tscDM:imagerect="3350, 56, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Design Resolution (Cont)" xmpDM:startTime="751767" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="99" tscDM:imageoffset="0" tscDM:imagerect="3425, 56, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Design Resolution" xmpDM:startTime="752600" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="100" tscDM:imageoffset="0" tscDM:imagerect="3500, 56, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Design Resolution (Cont)" xmpDM:startTime="899600" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="101" tscDM:imageoffset="0" tscDM:imagerect="3575, 56, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1: Latex vs. troff" xmpDM:startTime="996467" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="102" tscDM:imageoffset="0" tscDM:imagerect="3650, 56, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Design Resolution (Cont)" xmpDM:startTime="998000" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="103" tscDM:imageoffset="0" tscDM:imagerect="3725, 56, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Design Resolution" xmpDM:startTime="998233" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="104" tscDM:imageoffset="0" tscDM:imagerect="3800, 56, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 19.7 (Cont)" xmpDM:startTime="998400" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="105" tscDM:imageoffset="0" tscDM:imagerect="3875, 56, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 19.7" xmpDM:startTime="998733" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="106" tscDM:imageoffset="0" tscDM:imagerect="3950, 56, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Algebra of Confounding (Cont)" xmpDM:startTime="999600" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="107" tscDM:imageoffset="0" tscDM:imagerect="25, 112, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Algebra of Confounding" xmpDM:startTime="1000033" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="108" tscDM:imageoffset="0" tscDM:imagerect="100, 112, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Other Fractional Factorial Designs" xmpDM:startTime="1000400" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="109" tscDM:imageoffset="0" tscDM:imagerect="175, 112, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding (Cont)" xmpDM:startTime="1000667" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="110" tscDM:imageoffset="0" tscDM:imagerect="250, 112, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Other Fractional Factorial Designs" xmpDM:startTime="1001267" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="111" tscDM:imageoffset="0" tscDM:imagerect="325, 112, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding (Cont)" xmpDM:startTime="1006933" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="112" tscDM:imageoffset="0" tscDM:imagerect="400, 112, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding (Cont)" xmpDM:startTime="1007367" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="113" tscDM:imageoffset="0" tscDM:imagerect="475, 112, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding" xmpDM:startTime="1007567" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="114" tscDM:imageoffset="0" tscDM:imagerect="550, 112, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example: 24-1 Design" xmpDM:startTime="1007800" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="115" tscDM:imageoffset="0" tscDM:imagerect="625, 112, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example: 27-4 Design " xmpDM:startTime="1009700" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="116" tscDM:imageoffset="0" tscDM:imagerect="700, 112, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example: 24-1 Design" xmpDM:startTime="1010467" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="117" tscDM:imageoffset="0" tscDM:imagerect="775, 112, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding" xmpDM:startTime="1010633" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="118" tscDM:imageoffset="0" tscDM:imagerect="850, 112, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example: 24-1 Design" xmpDM:startTime="1011367" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="119" tscDM:imageoffset="0" tscDM:imagerect="925, 112, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example: 27-4 Design " xmpDM:startTime="1011467" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="120" tscDM:imageoffset="0" tscDM:imagerect="1000, 112, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Sign Table for a 2k-p Design " xmpDM:startTime="1011800" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="121" tscDM:imageoffset="0" tscDM:imagerect="1075, 112, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example: 27-4 Design " xmpDM:startTime="1012200" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="122" tscDM:imageoffset="0" tscDM:imagerect="1150, 112, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example: 24-1 Design" xmpDM:startTime="1076533" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="123" tscDM:imageoffset="0" tscDM:imagerect="1225, 112, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding" xmpDM:startTime="1076700" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="124" tscDM:imageoffset="0" tscDM:imagerect="1300, 112, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding (Cont)" xmpDM:startTime="1076900" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="125" tscDM:imageoffset="0" tscDM:imagerect="1375, 112, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Confounding (Cont)" xmpDM:startTime="1077133" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="126" tscDM:imageoffset="0" tscDM:imagerect="1450, 112, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Other Fractional Factorial Designs" xmpDM:startTime="1077600" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="127" tscDM:imageoffset="0" tscDM:imagerect="1525, 112, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Algebra of Confounding" xmpDM:startTime="1077700" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="128" tscDM:imageoffset="0" tscDM:imagerect="1600, 112, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Algebra of Confounding (Cont)" xmpDM:startTime="1077800" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="129" tscDM:imageoffset="0" tscDM:imagerect="1675, 112, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 19.7" xmpDM:startTime="1078000" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="130" tscDM:imageoffset="0" tscDM:imagerect="1750, 112, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 19.7 (Cont)" xmpDM:startTime="1078367" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="131" tscDM:imageoffset="0" tscDM:imagerect="1825, 112, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Design Resolution" xmpDM:startTime="1078900" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="132" tscDM:imageoffset="0" tscDM:imagerect="1900, 112, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Design Resolution (Cont)" xmpDM:startTime="1079400" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="133" tscDM:imageoffset="0" tscDM:imagerect="1975, 112, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1: Latex vs. troff" xmpDM:startTime="1079633" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="134" tscDM:imageoffset="0" tscDM:imagerect="2050, 112, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Design Resolution (Cont)" xmpDM:startTime="1081067" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="135" tscDM:imageoffset="0" tscDM:imagerect="2125, 112, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1: Latex vs. troff" xmpDM:startTime="1084567" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="136" tscDM:imageoffset="0" tscDM:imagerect="2200, 112, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1 (Cont)" xmpDM:startTime="1187833" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="137" tscDM:imageoffset="0" tscDM:imagerect="2275, 112, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1: Conclusions" xmpDM:startTime="1323300" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="138" tscDM:imageoffset="0" tscDM:imagerect="2350, 112, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1 (Cont)" xmpDM:startTime="1331767" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="139" tscDM:imageoffset="0" tscDM:imagerect="2425, 112, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1: Conclusions" xmpDM:startTime="1337000" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="140" tscDM:imageoffset="0" tscDM:imagerect="2500, 112, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1 (Cont)" xmpDM:startTime="1342467" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="141" tscDM:imageoffset="0" tscDM:imagerect="2575, 112, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1: Latex vs. troff" xmpDM:startTime="1343200" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="142" tscDM:imageoffset="0" tscDM:imagerect="2650, 112, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1 (Cont)" xmpDM:startTime="1360067" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="143" tscDM:imageoffset="0" tscDM:imagerect="2725, 112, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1: Conclusions" xmpDM:startTime="1360967" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="144" tscDM:imageoffset="0" tscDM:imagerect="2800, 112, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1: Conclusions (Cont)" xmpDM:startTime="1417200" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="145" tscDM:imageoffset="0" tscDM:imagerect="2875, 112, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1: Conclusions" xmpDM:startTime="1427433" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="146" tscDM:imageoffset="0" tscDM:imagerect="2950, 112, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1 (Cont)" xmpDM:startTime="1428700" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="147" tscDM:imageoffset="0" tscDM:imagerect="3025, 112, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1: Conclusions" xmpDM:startTime="1434800" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="148" tscDM:imageoffset="0" tscDM:imagerect="3100, 112, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1: Conclusions (Cont)" xmpDM:startTime="1435533" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="149" tscDM:imageoffset="0" tscDM:imagerect="3175, 112, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1: Conclusions" xmpDM:startTime="1436333" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="150" tscDM:imageoffset="0" tscDM:imagerect="3250, 112, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1: Conclusions (Cont)" xmpDM:startTime="1436767" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="151" tscDM:imageoffset="0" tscDM:imagerect="3325, 112, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Summary" xmpDM:startTime="1451233" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="152" tscDM:imageoffset="0" tscDM:imagerect="3400, 112, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1: Conclusions (Cont)" xmpDM:startTime="1451800" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="153" tscDM:imageoffset="0" tscDM:imagerect="3475, 112, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1: Conclusions" xmpDM:startTime="1453100" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="154" tscDM:imageoffset="0" tscDM:imagerect="3550, 112, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1: Conclusions (Cont)" xmpDM:startTime="1466933" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="155" tscDM:imageoffset="0" tscDM:imagerect="3625, 112, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1: Conclusions" xmpDM:startTime="1467800" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="156" tscDM:imageoffset="0" tscDM:imagerect="3700, 112, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1 (Cont)" xmpDM:startTime="1468233" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="157" tscDM:imageoffset="0" tscDM:imagerect="3775, 112, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Case Study 19.1: Latex vs. troff" xmpDM:startTime="1701467" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="158" tscDM:imageoffset="0" tscDM:imagerect="3850, 112, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Design Resolution (Cont)" xmpDM:startTime="1701567" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="159" tscDM:imageoffset="0" tscDM:imagerect="3925, 112, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Design Resolution" xmpDM:startTime="1701800" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="160" tscDM:imageoffset="0" tscDM:imagerect="0, 168, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 19.7 (Cont)" xmpDM:startTime="1702267" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="161" tscDM:imageoffset="0" tscDM:imagerect="75, 168, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 19.7" xmpDM:startTime="1702733" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="162" tscDM:imageoffset="0" tscDM:imagerect="150, 168, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Algebra of Confounding (Cont)" xmpDM:startTime="1703133" tscDM:image="k_19ffd2_Thumbnails.png" tscDM:imageindex="163" tscDM:imageoffset="0" 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