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Overview and Descriptive Statistics | |
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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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Probability | |
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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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Discrete Random Variables and Probability Distributions | |
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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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Continuous Random Variables and Probability Distributions | |
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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 Exponential and Gamma Distribution | |
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Other Continuous Distributions | |
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Probability Plots | |
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Joint Probability Distributions and Random Samples | |
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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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Point Estimation | |
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Some General Concepts of Point Estimation | |
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Methods of Point Estimation | |
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Statistical Intervals Based on a Single Sample | |
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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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Tests of Hypotheses Based on a Single Sample | |
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Hypothesis 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 | |
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Inferences Based on Two Samples | |
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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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The Analysis of Variance | |
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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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Multifactor Analysis of Variance | |
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Two-Factor ANOVA with Kij = 1 | |
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Two-Factor ANOVA with Kij > 1 | |
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Three-Factor ANOVA | |
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2p Factorial Experiments | |
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Simple Linear Regression and Correlation | |
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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 G1 | |
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Inferences Concerning &Y-x* and the Prediction of Future Y Values | |
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Correlation | |
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Nonlinear and Multiple Regression | |
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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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Goodness-of-Fit Tests and Categorical Data Analysis | |
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Goodness-of-Fit Tests When Category Probabilities are Completely Specified | |
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Goodness of Fit for Composite Hypotheses | |
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Two-Way Contingency Tables | |
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Distribution-Free Procedures | |
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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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Quality Control Methods | |
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General Comments on Control Charts | |
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Control Charts fort 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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Appendix 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 | |