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Preface | |
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The Multiple Linear Regression Model | |
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Multiple Linear Regression | |
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Introduction | |
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Concepts and Background Material | |
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The Linear Regression Model | |
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Estimation Using Least Squares | |
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Assumptions | |
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Methodology | |
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Interpreting Regression Coefficients | |
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Measuring the Strength of the Regression Relationship | |
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Hypothesis Tests and Confidence Intervals for � | |
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Fitted Values and Predictions | |
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Checking Assumptions Using Residual Plots | |
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Example - Estimating Home Prices | |
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Summary | |
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Model Building | |
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Introduction | |
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Concepts and Background Material | |
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Using Hypothesis Tests to Compare Models | |
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Collinearity | |
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Methodology | |
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Model Selection | |
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Example - Estimating Home Prices (continued) | |
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Indicator Variables and Modeling Interactions | |
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Example - Electronic Voting and the 2004 Presidential Election | |
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Summary | |
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Addressing Violations of Assumptions | |
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Diagnostics for Unusual Observations | |
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Introduction | |
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Concepts and Background Material | |
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Methodology | |
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Residuals and Outliers | |
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Leverage Points | |
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Influential Points and Cook's Distance | |
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Example - Estimating Home Prices (continued) | |
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Summary | |
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Transformations and Linearizable Models | |
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Introduction | |
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Concepts and Background Material: The Log-Log Model | |
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Concepts and Background Material: Semilog Models | |
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Logged Response Variable | |
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Logged Predictor Variable | |
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Example - Predicting Movie Grosses After One Week | |
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Summary | |
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Time Series Data and Autocorrelation | |
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Introduction | |
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Concepts and Background Material | |
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Methodology: Identifying Autocorrelation | |
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The Durbin-Watson Statistic | |
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The Autocorrelation Function (ACF) | |
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Residual Plots and the Runs Test | |
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Methodology: Addressing Autocorrelation | |
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Detrending and Deseasonalizing | |
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Example - e-Commerce Retail Sales | |
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Lagging and Differencing | |
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Example - Stock Indexes | |
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Generalized Least Squares (GLS): The Cochrane-Orcutt Procedure | |
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Example - Time Intervals Between Old Faithful Eruptions | |
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Summary | |
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Categorical Predictors | |
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Analysis of Variance | |
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Introduction | |
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Concepts and Background Material | |
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One-Way ANOVA | |
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Two-Way ANOVA | |
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Methodology | |
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Codings for Categorical Predictors | |
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Multiple Comparisons | |
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Levene's Test and Weighted Least Squares | |
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Membership in Multiple Groups | |
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Example - DVD Sales of Movies | |
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Higher-Way ANOVA | |
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Summary | |
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Analysis of Covariance | |
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Introduction | |
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Methodology | |
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Constant Shift Models | |
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Varying Slope Models | |
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Example - International Grosses of Movies | |
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Summary | |
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Other Regression Models | |
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Logistic Regression | |
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Introduction | |
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Concepts and Background Material | |
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The Logit Response Function | |
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Bernoulli and Binomial Random Variables | |
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Prospective and Retrospective Designs | |
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Methodology | |
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Maximum Likelihood Estimation | |
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Inference, Model Comparison, and Model Selection | |
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Goodness-of-Fit | |
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Measures of Association and Classification Accuracy | |
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Diagnostics | |
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Example - Smoking and Mortality | |
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Example - Modeling Bankruptcy | |
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Summary | |
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Multinomial Regression | |
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Introduction | |
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Concepts and Background Material | |
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Nominal Response Variable | |
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Ordinal Response Variable | |
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Methodology | |
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Estimation | |
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Inference, Model Comparisons, and Strength of Fit | |
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Lack of Fit and Violations of Assumptions | |
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Example - City Bond Ratings | |
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Summary | |
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Count Regression | |
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Introduction | |
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Concepts and Background Material | |
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The Poisson Random Variable | |
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Generalized Linear Models | |
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Methodology | |
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Estimation and Inference | |
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Offsets | |
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Overdispersion and Negative Binomial Regression | |
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Quasi-likelihood | |
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Negative Binomial Regression | |
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Example - Unprovoked Shark Attacks in Florida | |
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Other Count Regression Models | |
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Poisson Regression and Weighted Least Squares | |
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Example -International Grosses of Movies (continued) | |
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Summary | |
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Nonlinear Regression | |
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Introduction | |
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Concepts and Background Material | |
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Methodology | |
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Nonlinear Least Squares Estimation | |
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Inference for Nonlinear Regression Models | |
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Example - Michaelis-Menten Enzyme Kinetics | |
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Summary | |
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Bibliography | |
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Index | |