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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