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Overview and Descriptive Statistics | |

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Introduction | |

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Populations, Samples, and Processes | |

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Pictorial and Tabular Methods in Descriptive Statistics | |

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Measures of Location | |

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Measures of Variability | |

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Supplementary Exercises | |

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Bibliography | |

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Probability | |

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Introduction | |

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Sample Spaces and Events | |

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Axioms, Interpretations, and Properties of Probability | |

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Counting Techniques | |

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Conditional Probability | |

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Independence | |

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Supplementary Exercises | |

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Bibliography | |

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Discrete Random Variables and Probability Distributions | |

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Introduction | |

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Random Variables | |

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Probability Distributions for Discrete Random Variables | |

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Expected Values of Discrete Random Variables | |

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The Binomial Probability Distribution | |

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Hypergeometric and Negative Binomial Distributions | |

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The Poisson Probability Distribution | |

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Supplementary Exercises | |

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Bibliography | |

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Continuous Random Variables and Probability Distributions | |

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Introduction | |

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Continuous Random Variables and Probability Density Functions | |

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Cumulative Distribution Functions and Expected Values | |

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The Normal Distribution | |

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The Gamma Distribution and Its Relatives | |

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Other Continuous Distributions | |

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Probability Plots | |

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Supplementary Exercises | |

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Bibliography | |

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Joint Probability Distributions and Random Samples | |

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Introduction | |

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Jointly Distributed Random Variables | |

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Expected Values, Covariance, and Correlation | |

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Statistics and Their Distributions | |

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The Distribution of the Sample Mean | |

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The Distribution of a Linear Combination | |

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Supplementary Exercises | |

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Bibliography | |

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Point Estimation | |

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Introduction | |

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Some General Concepts of Point Estimation | |

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Methods of Point Estimation | |

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Supplementary Exercises | |

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Bibliography | |

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Statistical Intervals Based on a Single Sample | |

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Introduction | |

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Basic Properties of Confidence Intervals | |

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

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Intervals Based on a Normal Population Distribution | |

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

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Supplementary Exercises | |

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Bibliography | |

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Tests of Hypotheses Based on a Single Sample | |

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Introduction | |

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Hypotheses and Test Procedures | |

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Tests About a Population Mean | |

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Tests Concerning a Population Proportion | |

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P-Values | |

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Some Comments on Selecting a Test Procedure | |

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Supplementary Exercises | |

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Bibliography | |

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Inferences Based on Two Samples | |

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Introduction | |

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

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The Two-Sample t Test and Confidence Interval | |

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Analysis of Paired Data | |

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Inferences Concerning a Difference Between Population Proportions | |

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Inferences Concerning Two Population Variances | |

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Supplementary Exercises | |

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Bibliography | |

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The Analysis of Variance | |

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Introduction | |

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Single-Factor ANOVA | |

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Multiple Comparisons in ANOVA | |

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More on Single-Factor ANOVA | |

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Supplementary Exercises | |

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Bibliography | |

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Multifactor Analysis of Variance | |

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Introduction | |

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Two-Factor ANOVA with K[subscript ij] = 1 | |

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Two-Factor ANOVA with K[subscript ij] [greater than sign] 1 | |

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Three-Factor ANOVA | |

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2[superscript p] Factorial Experiments | |

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Supplementary Exercises | |

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Bibliography | |

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Simple Linear Regression and Correlation | |

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Introduction | |

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The Simple Linear Regression Model | |

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Estimating Model Parameters | |

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Inferences About the Slope Parameter beta[subscript 1] | |

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Inferences Concerning [mu subscript Y[middle dot]x*] and the Prediction of Future Y Values | |

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Correlation | |

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Supplementary Exercises | |

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Bibliography | |

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Nonlinear and Multiple Regression | |

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Introduction | |

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Aptness of the Model and Model Checking | |

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Regression with Transformed Variables | |

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Polynomial Regression | |

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Multiple Regression Analysis | |

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Other Issues in Multiple Regression | |

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Supplementary Exercises | |

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Bibliography | |

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

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Introduction | |

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

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Goodness-of-Fit Tests for Composite Hypotheses | |

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Two-Way Contingency Tables | |

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Supplementary Exercises | |

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Bibliography | |

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Distribution-Free Procedures | |

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Introduction | |

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The Wilcoxon Signed-Rank Test | |

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The Wilcoxon Rank-Sum Test | |

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Distribution-Free Confidence Intervals | |

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Distribution-Free ANOVA | |

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Supplementary Exercises | |

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Bibliography | |

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Quality Control Methods | |

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Introduction | |

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General Comments on Control Charts | |

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Control Charts for Process Location | |

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Control Charts for Process Variation | |

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Control Charts for Attributes | |

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CUSUM Procedures | |

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Acceptance Sampling | |

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Supplementary Exercises | |

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Bibliography | |

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Tables | |

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Cumulative Binomial Probabilities | |

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Cumulative Poisson Probabilities | |

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Standard Normal Curve Areas | |

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The Incomplete Gamma Function | |

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Critical Values for t Distributions | |

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Tolerance Critical Values for Normal Population Distributions | |

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Critical Values for Chi-Squared Distributions | |

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t Curve Tail Areas | |

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Critical Values for F Distributions | |

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Critical Values for Studentized Range Distributions | |

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Chi-Squared Curve Tail Areas | |

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

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Critical Values for the Wilcoxon Signed-Rank Test | |

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Critical Values for the Wilcoxon Rank-Sum Test | |

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Critical Values for the Wilcoxon Signed-Rank Interval | |

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Critical Values for the Wilcoxon Rank-Sum Interval | |

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[beta] Curves for t Tests | |

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Answers to Odd-Numbered Exercises | |

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Index | |