Overview and Descriptive Statistics | |

Populations, Samples, and Processes | |

Pictorial and Tabular Methods in Descriptive Statistics | |

Measures of Location | |

Measures of Variability | |

Probability | |

Sample Spaces and Events | |

Axioms, Interpretations, and Properties of Probability | |

Counting Techniques | |

Conditional Probability | |

Independence | |

Discrete Random Variables and Probability Distributions | |

Random Variables | |

Probability Distributions for Discrete Random Variables | |

Expected Values of Discrete Random Variables | |

The Binomial Probability Distribution | |

Hypergeometric and Negative Binomial Distributions | |

The Poisson Probability Distribution | |

Continuous Random Variables and Probability Distributions | |

Continuous Random Variables and Probability Density Functions | |

Cumulative Distribution Functions and Expected Values | |

The Normal Distribution | |

The Exponential and Gamma Distribution | |

Other Continuous Distributions | |

Probability Plots | |

Joint Probability Distributions and Random Samples | |

Jointly Distributed Random Variables | |

Expected Values, Covariance, and Correlation | |

Statistics and Their Distributions | |

The Distribution of the Sample Mean | |

The Distribution of a Linear Combination | |

Point Estimation | |

Some General Concepts of Point Estimation | |

Methods of Point Estimation | |

Statistical Intervals Based on a Single Sample | |

Basic Properties of Confidence Intervals | |

Large-Sample Confidence Intervals for a Population Mean and Proportion | |

Intervals Based on a Normal Population Distribution | |

Confidence Intervals for the Variance and Standard Deviation of a Normal Population | |

Tests of Hypotheses Based on a Single Sample | |

Hypothesis and Test Procedures | |

Tests About a Population Mean | |

Tests Concerning a Population Proportion | |

P-Values | |

Some Comments on Selecting a Test | |

Inferences Based on Two Samples | |

Z Tests and Confidence Intervals for a Difference Between Two Population Means | |

The Two-Sample t Test and Confidence Interval | |

Analysis of Paired Data | |

Inferences Concerning a Difference Between Population Proportions | |

Inferences Concerning Two Population Variances | |

The Analysis of Variance | |

Single-Factor ANOVA | |

Multiple Comparisons in ANOVA | |

More on Single-Factor ANOVA | |

Multifactor Analysis of Variance | |

Two-Factor ANOVA with Kij = 1 | |

Two-Factor ANOVA with Kij > 1 | |

Three-Factor ANOVA | |

2p Factorial Experiments | |

Simple Linear Regression and Correlation | |

The Simple Linear Regression Model | |

Estimating Model Parameters | |

Inferences About the Slope Parameter G1 | |

Inferences Concerning &Y-x* and the Prediction of Future Y Values | |

Correlation | |

Nonlinear and Multiple Regression | |

Aptness of the Model and Model Checking | |

Regression with Transformed Variables | |

Polynomial Regression | |

Multiple Regression Analysis | |

Other Issues in Multiple Regression | |

Goodness-of-Fit Tests and Categorical Data Analysis | |

Goodness-of-Fit Tests When Category Probabilities are Completely Specified | |

Goodness of Fit for Composite Hypotheses | |

Two-Way Contingency Tables | |

Distribution-Free Procedures | |

The Wilcoxon Signed-Rank Test | |

The Wilcoxon Rank-Sum Test | |

Distribution-Free Confidence Intervals | |

Distribution-Free ANOVA | |

Quality Control Methods | |

General Comments on Control Charts | |

Control Charts fort Process Location | |

Control Charts for Process Variation | |

Control Charts for Attributes | |

CUSUM Procedures | |

Acceptance Sampling | |

Appendix TABLES | |

Cumulative Binomial Probabilities | |

Cumulative Poisson Probabilities | |

Standard Normal Curve Areas | |

The Incomplete Gamma Function | |

Critical Values for t Distributions | |

Tolerance Critical Values for Normal Population Distributions | |

Critical Values for Chi-Squared Distributions | |

T Curve Tail Areas | |

Critical Values for F Distributions | |

Critical Values for Studentized Range Distributions | |

Chi-Squared Curve Tail Areas | |

Critical Values for the Ryan-Joiner Test of Normality | |

Critical Values for the Wilcoxon Signed-Rank Test | |

Critical Values for the Wilcoxon Rank-Sum Test | |

Critical Values for the Wilcoxon | |

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