Summarizing Measured Data

Table of Contents

Summarizing Measured Data

Overview

Part III: Probability Theory and Statistics

Basic Probability and Statistics Concepts

CDF, PDF, and PMF

Mean, Variance, CoV

Covariance and Correlation

Mean and Variance of Sums

Quantiles, Median, and Mode

Normal Distribution

Normal Quantiles

Why Normal?

Summarizing Data by a Single Number

Mean, Median, and Mode: Relationships

Selecting Mean, Median, and Mode

Indices of Central Tendencies: Examples

Common Misuses of Means

Geometric Mean

Geometric Mean: Example

Examples of Multiplicative Metrics

Geometric Mean of Ratios

Harmonic Mean

Weighted Harmonic Mean

Mean of A Ratio

Mean of a Ratio: Example

Mean of a Ratio: Special Cases

Program Optimizer Static Size Data

Summarizing Variability

Indices of Dispersion

Range

Variance

Percentiles

Quartiles

Semi Inter-Quartile Range

Mean Absolute Deviation

Comparison of Variation Measures

Measures of Variation: Example

Selecting the Index of Dispersion

Determining Distribution of Data

Quantile-Quantile plots

Quantile-Quantile Plots: Example

Interpretation of Quantile-Quantile Data

Summary

Homework

Exercise 12.1

Exercise 12.2

Exercise 12.3

Exercise 12.4

Exercise 12.5

Exercise 12.6

Exercise 12.7

Exercise 12.8

Exercise 12.9

Exercise 12.10

Exercise 12.11

Exercise 12.12

Exercise 12.13

Exercise 12.14

Home Page: http://www.cse.wustl.edu/~jain/

Download entire presentation in Adobe Acrobat