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Multivariate Data Analysis Chapter 5 – Discrimination Analysis and Logistic Regression
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Chapter 5 What Are Discrimination Analysis and Logistic Regression? Analogy with Regression and MANOVA Hypothetical Example of Discriminant Analysis A Two Group Discriminant Analysis: Purchasers Versus Nonpurchasers A Geometric Representation of the Two Group Discriminant Function A Three-group Example of Discriminant Analysis: Switching Intentions
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The Decision Process for Discriminant Analysis Stage 1: Objectives of Discriminant Analysis Stage 2: Research Design for Discriminant Analysis Selection of Dependent and Independent Variables Sample Size Division of the Sample Stage 3: Assumptions of Discriminant Analysis
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The Decision Process for Discriminant Analysis (Cont.) Stage 4: Estimation of the Discriminant Model and Assessing Overall Fit Computation Method Statistical Significance Assessing Overall Fit Calculating Discriminant Z Score Evaluating Group Differences Assessing Group Membership Prediction Accuracy Casewise Diagnostics Misclassification of Individual Cases
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The Decision Process for Discriminant Analysis (Cont.) Stage 5: Interpretation of the Results Discriminant Weights Discriminant Loadings Partial F Values Interpretation of Two or More Functions Rotation of the Discriminant Functions Potency Index Graphical Display of Discriminant Loadings Which Interpretive Method to Use?
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The Decision Process for Discriminant Analysis (Cont.) Stage 6: Validation of the Results Split-Sample or Cross-Validation Procedures Profiling Group Differences
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Logistic Regression Regression with a Binary Dependent Variable Representation of the Binary Dependent Variable Estimating the Logistic Regression Model Interpreting the Coefficients Assessing the Goodness-of-Fit of the Estimated Model Testing for Significance of the Coefficients Other Similarities To Multiple Regression
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