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What is included with this book?
Probability Theory | p. 7 |
Probabilities | p. 7 |
Events | p. 8 |
Combinations of Events | p. 11 |
Conditional Probability | p. 13 |
Probabilities of Event Intersections | p. 17 |
Posterior Probabilities | p. 21 |
Counting Techniques | p. 23 |
Random Variables | p. 27 |
Discrete Random Variables | p. 27 |
Continuous Random Variables | p. 30 |
The Expectation of a Random Variable | p. 33 |
The Variance of a Random Variable | p. 36 |
Jointly Distributed Random Variables | p. 39 |
Combinations and Functions of Random variables | p. 44 |
Discrete Probability Distribution | p. 51 |
The Binomial Distribution | p. 51 |
The Geometric and Negative Binomial Distributions | p. 54 |
The Hypergeometric Distribution | p. 56 |
The Poisson Distribution | p. 58 |
The Multinomial Distribution | p. 59 |
Continuous Probability Distributions | p. 61 |
The Uniform Distribution | p. 61 |
The Exponential Distribution | p. 63 |
The Gamma Distribution | p. 65 |
The Weibull Distribution | p. 67 |
The Beta Distribution | p. 68 |
The Normal Distribution | p. 71 |
Probability Calculations | p. 71 |
Linear Combinations of Normal Random Variables | p. 75 |
Approximating Distributions | p. 78 |
Distributions Related to the Normal Distribution | p. 81 |
Descriptive Statistics | p. 85 |
Experimentation | p. 85 |
Data Presentation | p. 87 |
Sample Statistics | p. 88 |
Statistical Estimation | p. 91 |
Properties of Point Estimates | p. 91 |
Sampling Distributions | p. 93 |
Constructing Parameter Estimates | p. 97 |
Inferences on a Population Mean | p. 99 |
Confidence Intervals | p. 99 |
Hypothesis Testing | p. 103 |
Comparing Two Population Means | p. 109 |
Analysis of Paired Samples | p. 109 |
Analysis of Independent Samples | p. 112 |
Discrete Data Analysis | p. 119 |
Inferences on a Population Proportion | p. 119 |
Comparing Two Population Proportions | p. 124 |
One-way Contingency Tables | p. 129 |
Two-way Contingency Tables | p. 134 |
The Analysis of Variance | p. 139 |
One Factor Analysis of Variance | p. 139 |
Randomized Block Designs | p. 146 |
Simple Linear Regression and Correlation | p. 153 |
The Simple Linear Regression Model | p. 153 |
Fitting the Regression Line | p. 155 |
Inferences on the Slope Parameter B[subscript 1] | p. 157 |
Inferences on the Regression Line | p. 159 |
Prediction Intervals for Future Response Values | p. 160 |
The Analysis of Variance Table | p. 162 |
Residual Analysis | p. 164 |
Variable Transformations | p. 165 |
Correlation Analysis | p. 166 |
Multiple Linear Regression | p. 167 |
Introduction to Multiple Linear Regression | p. 167 |
Examples of Multiple Linear Regression | p. 169 |
Matrix Algebra Formulation | p. 171 |
Evaluating Model Accuracy | p. 175 |
Multifactor Experimental Design | p. 177 |
Experiments with Two Factors | p. 177 |
Experiments with Three or More Factors | p. 179 |
Nonparametric Statistical Analysis | p. 181 |
The Analysis of a Single Population | p. 181 |
Comparing Two Populations | p. 184 |
Comparing Three or More Populations | p. 186 |
Quality Control Methods | p. 189 |
Statistical Process Control | p. 189 |
Variable Control Charts | p. 191 |
Attribute Control Charts | p. 193 |
Acceptance Sampling | p. 194 |
Reliability Analysis and Life Testing | p. 195 |
System Reliability | p. 195 |
Modeling Failure Rates | p. 197 |
Life Testing | p. 199 |
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