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Ⅰ．Introduction 1

CONTENTSPREFACE 5

Ⅱ．Simulation of a Finite Discrete Sample Space 8

Ⅲ．Evaluating Factorials,Permutations, Combinations 12

Ⅳ．Distribution Evaluators 13

A．Continuous Distribution Evaluators:The Uniform,Normal,Exponential,Gamma,Chi-Square,t,F,Lognormal,Beta,and Weibull Distributions 14

B．Discrete Distribution Evaluators:The Binomial,Hypergeometric,Poisson,Geometric,and Negative Binomial Distributions 17

Ⅴ．Plotting Probability Distribution Functions and Other Univariate Functions 19

A．Plotting the Probability Distribution Functions of Tables 3.2 and 4.1 19

B．Plotting a User-Specified Continuous Probability Distribution Function or Any User-Specified Continuous Univariate Function 27

C．Plotting a User-Specified Discrete Probability Distribution Function 34

Ⅵ．Convolution and Transformation of Discrete Probability Distributions 38

A．Transformation of User-Specified Discrete Probability Distributions 40

B．Convolution and Power Transformation of User-Specified Discrete Probability Distributions 44

Ⅶ．Basic Analysis of a User-Provided Data Set 62

Ⅷ．Simulation of the Probability Distributions of Tables 3.2 and 4.1 67

Ⅸ．The Setting of Confidence Intervals 70

A．Confidence Intervals for One Mean 71

B．Confidence Intervals for One Variance 72

C．Confidence Intervals for One Proportion 73

Ⅹ．The Performance of Hypothesis Tests 74

A．Hypothesis Tests for One Mean 75

B．Hypothesis Tests for One Variance 77

C．Hypothesis Tests for One Proportion 79

D．Hypothesis Tests for Two Means 80

E．Hypothesis Tests for Two Variances 82

F．Hypothesis Tests for Two Proportions 83

Ⅺ．The Formulation of Operating Characteristic Curves for Tests of Hypotheses 84

A．Operating Characteristic Curves for Hypothesis Tests about Means 85

B．Operating Characteristic Curves for Hypothesis Tests about One Variance 87

C．Operating Characteristic Curves for Hypothesis Tests about Two Variances 90

D．Operating Characteristic Curves for Hypotheses Tests about One Proportion 91

E．Beta Errors for Hypothesis Tests about Two Proportions 93

Ⅻ．Regression Analysis 94

A．Bivariate Regression Analysis 95

B．Multivariate Regression Analysis 101

C．Transformation of Regression Data 107

ⅩⅢ．Analysis of Variance 111

A．One-Factor Completely Randomized Analysis of Variance 111

B．Two-Factor Blocked Analysis of Variance 115

C．Two-Factor Factorial Analysis of Variance 117

D．Three-Factor Factorial Analysis of Variance 119

E．Operating Characteristic Curves for Analysis of Variance 121

ⅩⅣ．Statistical Quality Control 123

A．The？-R Chart 123

B．Thep Chart 126

C．Operating Characteristic Curves for Single Sampling Plans 128

ⅩⅤ．The x2 Goodness of Fit Test and Distribution Free Methods 131

A．The x2 Goodness of Fit Test 131

B．The Wilcoxon Signed Rank Test 133

C．The Wilcoxon Rank Sum Test Program 135

D．The Kruskal-Wallis Test 137

ⅩⅥ．The Full-Screen Data Editor 139

AppendixesA．Structure of the Data Sets Used by the Programs in the Library 143

B．List of Programs 153

List of Data Files 155

C．Extension Names for Data Files 156