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| Preface | |
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| Basics of Probability | |
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| Introduction | |
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| Basic Concepts and Definitions | |
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| Counting Problems | |
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| Axioms of Probability and the Addition Rule | |
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| Conditional Probability and the Multiplication Rule | |
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| Bayes' Theorem | |
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| Independent Events | |
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| Discrete Random Variables | |
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| Introduction | |
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| Probability Mass Functions | |
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| The Hypergeometric and Binomial Distributions | |
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| The Poisson Distribution | |
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| Mean and Variance | |
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| Functions of a Random Variable | |
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| The Moment-Generating Function | |
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| Continuous Random Variables | |
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| Introduction | |
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| Definitions | |
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| The Uniform and Exponential Distributions | |
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| The Normal Distribution | |
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| Functions of Continuous Random Variables | |
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| Joint Distributions | |
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| Functions of Independent Random Variables | |
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| The Central Limit Theorem | |
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| The Gamma and Related Distributions | |
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| Approximating the Binomial Distribution | |
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| Statistics | |
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| What Is Statistics? | |
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| Summarizing Data | |
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| Maximum Likelihood Estimates | |
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| Sampling Distributions | |
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| Confidence Intervals for a Proportion | |
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| Confidence Intervals for a Mean | |
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| Confidence Intervals for a Variance | |
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| Confidence Intervals for Differences | |
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| Sample Size | |
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| Assessing Normality | |
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| Hypothesis Testing | |
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| Introduction | |
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| Testing Claims About a Proportion | |
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| Testing Claims About a Mean | |
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| Comparing Two Proportions | |
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| Comparing Two Variances | |
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| Comparing Two Means | |
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| Goodness-of-Fit Tests | |
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| Test of Independence | |
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| One-Way ANOVA | |
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| Two-Way ANOVA | |
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| Simple Regression | |
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| Introduction | |
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| Covariance and Correlation | |
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| Method of Least Squares | |
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| The Simple Linear Model | |
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| Sums of Squares and ANOVA | |
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| Nonlinear Regression | |
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| Multiple Regression | |
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| Nonparametric Statistics | |
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| Introduction | |
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| The Sign Test | |
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| The Wilcoxon Signed-Rank Test | |
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| The Wilcoxon Rank-Sum Test | |
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| The Runs Test for Randomness | |
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| Proofs of Selected Theorems | |
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| A Proof of Theorem 3.7.5 | |
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| A Proof of the Central Limit Theorem | |
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| A Proof of the Limit Theorem of De Moivre and Laplace | |
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| A Proof of Theorem 4.6.1 | |
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| Confidence Intervals for the Difference of Two Means | |
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| Coefficients in the Linear Regression Equation | |
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| Wilcoxon Signed-Rank Test Distribution | |
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| Software Basics | |
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| Minitab | |
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| R | |
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| Excel | |
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| TI-83/84 Calculators | |
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| Tables | |
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| Answers to Selected Exercises | |
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| Index | |