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<p>Chapter 1 - Introduction & Basics<br/>1.1 Statistics—the Field ....................................................................................................................1<br/>1.2 Probability Distributions ...........................................................................................................4<br/>1.3 Study Design Features ...............................................................................................................9<br/>1.4 Descriptive Statistics ................................................................................................................13<br/>1.5 Inferential Statistics .................................................................................................................16<br/>1.6 Summary ..................................................................................................................................21<br/>Chapter 2 – Topics in Hypothesis Testing<br/>2.1 Significance Levels ....................................................................................................................23<br/>2.2 Power ........................................................................................................................................25<br/>2.3 One-Tailed and Two-Tailed Tests ............................................................................................26<br/>2.4 p-Values ....................................................................................................................................27<br/>2.5 Sample Size Determination .....................................................................................................27<br/>2.6 Multiple Testing ........................................................................................................................30<br/>2.7 Summary ..................................................................................................................................38<br/>Chapter 3 – The Data Set TRIAL<br/>3.1 Introduction..............................................................................................................................39<br/>3.2 Data Collection .........................................................................................................................39<br/>3.3 Creating the Data Set TRIAL.................................................................................................. 42<br/>3.4 Statistical Summarization .......................................................................................................45<br/>3.5 Summary...................................................................................................................................54<br/>Chapter 4 – The One-Sample t-Test<br/>4.1 Introduction..............................................................................................................................55<br/>4.2 Synopsis ....................................................................................................................................55<br/>4.3 Examples ..................................................................................................................................56<br/>4.4 Details & Notes .........................................................................................................................64<br/>Chapter 5 – The Two-Sample t-Test<br/>5.1 Introduction..............................................................................................................................67<br/>5.2 Synopsis ....................................................................................................................................67<br/>5.3 Examples ..................................................................................................................................68<br/>5.4 Details & Notes .........................................................................................................................73</p><p>Chapter 6 – One-Way ANOVA<br/>6.1 Introduction..............................................................................................................................77<br/>6.2 Synopsis ....................................................................................................................................77<br/>6.3 Examples ..................................................................................................................................80<br/>6.4 Details & Notes .........................................................................................................................86<br/>Chapter 7 – Two-Way ANOVA<br/>7.1 Introduction..............................................................................................................................91<br/>7.2 Synopsis ....................................................................................................................................91<br/>7.3 Examples ..................................................................................................................................94<br/>7.4 Details & Notes .......................................................................................................................107<br/>Chapter 8 – Repeated Measures Analysis<br/>8.1 Introduction............................................................................................................................111<br/>8.2 Synopsis ..................................................................................................................................111<br/>8.3 Examples ................................................................................................................................115<br/>8.4 Details & Notes .......................................................................................................................148<br/>Chapter 9 – The Crossover Design<br/>9.1 Introduction............................................................................................................................157<br/>9.2 Synopsis ..................................................................................................................................158<br/>9.3 Examples ................................................................................................................................160<br/>9.4 Details & Notes .......................................................................................................................171<br/>Chapter 10 – Linear Regression<br/>10.1 Introduction............................................................................................................................175<br/>10.2 Synopsis ..................................................................................................................................175<br/>10.3 Examples ................................................................................................................................178<br/>10.4 Details & Notes .......................................................................................................................193<br/>Chapter 11 – Analysis of Covariance<br/>11.1 Introduction............................................................................................................................199<br/>11.2 Synopsis ..................................................................................................................................200<br/>11.3 Examples ................................................................................................................................203<br/>11.4 Details & Notes .......................................................................................................................221<br/>Chapter 12 – The Wilcoxon Signed-Rank Test<br/>12.1 Introduction............................................................................................................................227<br/>12.2 Synopsis ..................................................................................................................................227<br/>12.3 Examples ................................................................................................................................228<br/>12.4 Details & Notes .......................................................................................................................234<br/>Chapter 13 – The Wilcoxon Rank-Sum Test<br/>13.1 Introduction............................................................................................................................237<br/>13.2 Synopsis ..................................................................................................................................237<br/>13.3 Examples ................................................................................................................................239<br/>13.4 Details & Notes .......................................................................................................................244</p><p>Chapter 14 – The Kruskal-Wallis Test<br/>14.1 Introduction............................................................................................................................247<br/>14.2 Synopsis ..................................................................................................................................247<br/>14.3 Examples ................................................................................................................................249<br/>14.4 Details & Notes .......................................................................................................................253<br/>Chapter 15 – The Binomial Test<br/>15.1 Introduction............................................................................................................................257<br/>15.2 Synopsis ..................................................................................................................................257<br/>15.3 Examples ................................................................................................................................259<br/>14.4 Details & Notes .......................................................................................................................261<br/>Chapter 16 – The Chi-Square Test<br/>16.1 Introduction............................................................................................................................265<br/>16.2 Synopsis ..................................................................................................................................265<br/>16.3 Examples ................................................................................................................................267<br/>16.4 Details & Notes........................................................................................................................279<br/>Chapter 17 – Fisher’s Exact Test<br/>17.1 Introduction............................................................................................................................285<br/>17.2 Synopsis ..................................................................................................................................285<br/>17.3 Examples ................................................................................................................................286<br/>17.4 Details & Notes........................................................................................................................289<br/>Chapter 18 – McNemar’s Test<br/>18.1 Introduction............................................................................................................................293<br/>18.2 Synopsis ..................................................................................................................................293<br/>18.3 Examples ................................................................................................................................294<br/>18.4 Details & Notes........................................................................................................................301<br/>Chapter 19 – The Cochran-Mantel-Haenszel Test<br/>19.1 Introduction............................................................................................................................305<br/>19.2 Synopsis ..................................................................................................................................305<br/>19.3 Examples ................................................................................................................................307<br/>19.4 Details & Notes........................................................................................................................313<br/>Chapter 20 – Logistic Regression<br/>20.1 Introduction............................................................................................................................317<br/>20.2 Synopsis ..................................................................................................................................318<br/>20.3 Examples ................................................................................................................................322<br/>20.4 Details & Notes........................................................................................................................340<br/>Chapter 21 – The Log-Rank Test<br/>21.1 Introduction............................................................................................................................349<br/>21.2 Synopsis ..................................................................................................................................350<br/>21.3 Examples.................................................................................................................................351<br/>21.4 Details & Notes........................................................................................................................359</p><p>Chapter 22 – The Cox Proportional Hazards Model<br/>22.1 Introduction............................................................................................................................365<br/>22.2 Synopsis ..................................................................................................................................366<br/>22.3 Examples.................................................................................................................................367<br/>22.4 Details & Notes........................................................................................................................376<br/>Chapter 23 – Exercises<br/>23.1 Introduction............................................................................................................................381<br/>23.2 Exercises .................................................................................................................................381<br/>23.3 Appropriateness of the Methods ...........................................................................................383<br/>23.4 Summary.................................................................................................................................387<br/>Appendix A – Probability Tables<br/>A.1 Probabilities of the Standard Normal Distribution.............................................................390<br/>A.2 Critical Values of the Student t-Distribution.......................................................................391<br/>A.3 Critical Values of the Chi-Square Distribution...................................................................392<br/>Appendix B – Common Distributions Used in Statistical Inference<br/>B.1 Notation...................................................................................................................................393<br/>B.2 Properties................................................................................................................................394<br/>B.3 Results .....................................................................................................................................395<br/>B.4 Distributional Shapes..............................................................................................................397<br/>Appendix C – Basic ANOVA Concepts<br/>C.1 Within- vs. Between-Group Variation..................................................................................399<br/>C.2 Noise Reduction by Blocking .................................................................................................401<br/>C.3 Least Squares Mean (LS-mean) ............................................................................................405<br/>Appendix D – SS Types I, II, III, and IV Methods for an Unbalanced<br/>Two-Way Layout<br/>D.1 SS Types Computed by SAS..................................................................................................409<br/>D.2 How to Determine the Hypotheses Tested ...........................................................................411<br/>D.3 Empty Cells.............................................................................................................................416<br/>D.4 More Than Two Treatment Groups.....................................................................................417<br/>D.5 Summary.................................................................................................................................419<br/>Appendix E – Multiple Comparison Methods<br/>E.1 Multiple Comparisons of Means ...........................................................................................421<br/>E.2 Multiple Comparisons of Binomial Proportions..................................................................432<br/>E.3 Summary.................................................................................................................................436<br/>Appendix F – Data Transformations<br/>F.1 Introduction............................................................................................................................437<br/>F.2 The Log Transformation........................................................................................................438<br/>Appendix G – SAS Code for Exercises in Chapter 23....................................................441<br/>References .............................................................................................................................................447<br/>Index ..................................................................................................................................................453</p>
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