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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