Applied MANOVA and discriminant analysis

摘要: List of Figures. Tables. Preface to Second Edition. Acknowledgments. First Notation. I INTRODUCTION. 1 Discriminant Analysis in Research. 1.1 A Little History. 1.2 Overview. 1.3 Descriptive Analysis. 1.4 Predictive 1.5 Design 2 Preliminaries. 2.1 Introduction. 2.2 Research Context. 2.3 Data, Units, Variables, and Constructs. 2.4 Summarizing Data. 2.5 Matrix Operations. 2.6 Distance. 2.7 Linear Composite. 2.8 Probability. 2.9 Statistical Testing. 2.10 Judgment Data 2.11 Summary. II ONE-FACTOR MANOVA/DDA. 3 Group Separation. 3.1 3.2 Two-Group Analyses. 3.3 Test for Covariance Equality. 3.4 Yao Test. 3.5 Multiple-Group Analyses-Single Factor. 3.6 Computer Application. 3.7 4 Assessing MANOVA Effects. 4.1 4.2 Strength Association. 4.3 Application I. 4.4 Contrasts. 4.5 II. 4.6 Heterogeneity. 4.7 Sample Size. 4.8 5 Describing 5.1 5.2 Omnibus 5.3 5.4 Standardized LDFWeights. 5.5 LDF Space Dimension. 5.6 5.7 III. 5.8 Contrast 5.9 IV. 5.10 6 Deleting Ordering Variables. 6.1 6.2 Variable Deletion. 6.3 Ordering. 6.4 6.5 6.6 Comments. 7 Reporting DDA Results. 7.1 7.2 Example 7.3 Package Information. 7.4 Terms. 7.5 MANOVA/DDA Applications. 7.6 Concerns. 7.7 III FACTORIAL MANOVA, MANCOVA, AND REPEATED MEASURES. 8 Factorial MANOVA. 8.1 8.2 8.3 Univariate 8.4 Multivariate 8.5 8.6 8.7 Nonorthogonal Design. 8.8 Outcome 8.9 9 Covariance. 9.1 9.2 9.3 ANCOVA. 9.4 ANCOVA (MANCOVA). 9.5 9.6 Comparing Adjusted Means-Omnibus 9.7 9.8 9.9 9.10 10 Repeated-Measures 10.1 10.2 10.3 10.4 10.5 10.6 10.7 Testing Sphericity. 10.8 10.9 10.10 10.11 11 Mixed-Model 11.1 11.2 11.3 11.4 11.5 11.6 11.7 11.8 IV GROUP MEMBERSHIP PREDICTION. 12 Classification Basics. 12.1 12.2 Notion 12.3 Distance Classification. 12.4 Rules General. 12.5 13 Normal Rules. 13.1 13.2 Density Functions. 13.3 Based on Normality. 13.4 13.5 Summary Statistics. 13.6 Choice Rule Form. 13.7 14 14.1 14.2 14.3 14.4 Individual Unit 14.5 14.6 15 Hit Rate Estimation. 15.1 15.2 True Rates. 15.3 Estimators. 15.4 15.5 Estimator. 15.6 Outliers In-Doubt Units. 15.7 15.8 16 Effectiveness 16.1 16.2 Proportional Chance Criterion. 16.3 Maximum-Chance 16.4 Improvement over Chance. 16.5 Comparison 16.6 16.7 Effect Unequal Priors. 16.8 PDA Validity/Reliability. 16.9 Applying a New 16.10 17 Predictors. 17.1 17.2 Predictor 17.3 17.4 17.5 Reanalysis. 17.6 17.7 Side Note. 18 18.1 18.2 Rule. 18.3 Regression Analogy. 18.4 MRA-PDA Relationship. 18.5 Necessary 18.6 19 Nonnormal 19.1 19.2 Continuous 19.3 Categorical 19.4 Mixtures. 19.5 20 20.1 20.2 20.3 Some Additional Specific 20.4 20.5 20.6 Sources 20.7 20.8 Further Reading. Exercises. 21 PDA-Related 21.1 21.2 Nonlinear Methods. 21.3 Other V ISSUES PROBLEMS. 22 Issues DDA. 22.1 22.2 Five Choices PDA. 22.3 Stepwise 22.4 StandardizedWeights Versus Structure r's. 22.5 Data-Based Structure. 23 Problems 23.1 23.2 Missing 23.3 Influential Observations. 23.4 Initial Misclassification. 23.5 Misclassification Costs. 23.6 Clinical Prediction. 23.7 Problems. Appendix A: Set Descriptions. B: DA-Related Originators. C: Syntax. D: Contents ofWileyWebsite. References. Answers Index.