Book description
Provides the tools needed to successfully perform adaptive tests across a broad range of datasets
Adaptive Tests of Significance Using Permutations of Residuals with R and SAS® illustrates the power of adaptive tests and showcases their ability to adjust the testing method to suit a particular set of data. The book utilizes state-of-the-art software to demonstrate the practicality and benefits for data analysis in various fields of study.
Beginning with an introduction, the book moves on to explore the underlying concepts of adaptive tests, including:
Smoothing methods and normalizing transformations
Permutation tests with linear methods
Applications of adaptive tests
Multicenter and cross-over trials
Analysis of repeated measures data
Adaptive confidence intervals and estimates
Throughout the book, numerous figures illustrate the key differences among traditional tests, nonparametric tests, and adaptive tests. R and SAS® software packages are used to perform the discussed techniques, and the accompanying datasets are available on the book's related website. In addition, exercises at the end of most chapters enable readers to analyze the presented datasets by putting new concepts into practice.
Adaptive Tests of Significance Using Permutations of Residuals with R and SAS® is an insightful reference for professionals and researchers working with statistical methods across a variety of fields including the biosciences, pharmacology, and business. The book also serves as a valuable supplement for courses on regression analysis and adaptive analysis at the upper-undergraduate and graduate levels.
Table of contents
- Cover Page
- Title Page
- Copyright
- Dedication
- Contents
- PREFACE
- CHAPTER 1: INTRODUCTION
- CHAPTER 2: SMOOTHING METHODS AND NORMALIZING TRANSFORMATIONS
-
CHAPTER 3: A TWO-SAMPLE ADAPTIVE TEST
- 3.1 A TWO-SAMPLE MODEL
- 3.2 COMPUTING THE ADAPTIVE WEIGHTS
- 3.3 THE TEST STATISTICS FOR ADAPTIVE TESTS
- 3.4 PERMUTATION METHODS FOR TWO-SAMPLE TESTS
- 3.5 AN EXAMPLE OF A TWO-SAMPLE TEST
- 3.6 R CODE FOR THE TWO-SAMPLE TEST
- 3.7 LEVEL OF SIGNIFICANCE OF THE ADAPTIVE TEST
- 3.8 POWER OF THE ADAPTIVE TEST
- 3.9 SAMPLE SIZE ESTIMATION
- 3.10 A SAS MACRO FOR THE ADAPTIVE TEST
- 3.11 MODIFICATIONS FOR ONE-TAILED TESTS
- 3.12 JUSTIFICATION OF THE WEIGHTING METHOD
- 3.13 COMMENTS ON THE ADAPTIVE TWO-SAMPLE TEST
- EXERCISES
-
CHAPTER 4: PERMUTATION TESTS WITH LINEAR MODELS
- 4.1 INTRODUCTION
- 4.2 NOTATION
- 4.3 PERMUTATIONS WITH BLOCKING
- 4.4 LINEAR MODELS IN MATRIX FORM
- 4.5 PERMUTATION METHODS
- 4.6 PERMUTATION TEST STATISTICS
- 4.7 AN IMPORTANT RULE OF TEST CONSTRUCTION
- 4.8 A PERMUTATION ALGORITHM
- 4.9 A PERFORMANCE COMPARISON OF THE PERMUTATION METHODS
- 4.10 DISCUSSION
- EXERCISES
- CHAPTER 5: AN ADAPTIVE TEST FOR A SUBSET OF COEFFICIENTS IN A LINEAR MODEL
- CHAPTER 6: MORE APPLICATIONS OF ADAPTIVE TESTS
- CHAPTER 7: THE ADAPTIVE ANALYSIS OF PAIRED DATA
- CHAPTER 8: MULTICENTER AND CROSS-OVER TRIALS
- CHAPTER 9: ADAPTIVE MULTIVARIATE TESTS
-
CHAPTER 10: ANALYSIS OF REPEATED MEASURES DATA
- 10.1 INTRODUCTION
- 10.2 THE MULTIVARIATE LR TEST
- 10.3 THE ADAPTIVE TEST
- 10.4 THE MIXED MODEL TEST
- 10.5 TWO-SAMPLE TESTS
- 10.6 TWO-SAMPLE TESTS FOR PARALLELISM
- 10.7 TWO-SAMPLE TESTS FOR GROUP EFFECT
- 10.8 AN EXAMPLE OF REPEATED MEASURES DATA
- 10.9 DEALING WITH MISSING DATA
- 10.10 CONCLUSIONS AND RECOMMENDATIONS
- EXERCISES
- CHAPTER 11: RANK-BASED TESTS OF SIGNIFICANCE
-
CHAPTER 12: ADAPTIVE CONFIDENCE INTERVALS AND ESTIMATES
- 12.1 THE RELATIONSHIP BETWEEN TESTS AND CONFIDENCE INTERVALS
- 12.2 THE ITERATIVE PROCEDURE OF GARTHWAITE
- 12.3 A 95% CONFIDENCE INTERVAL FOR THE DIFFERENCE BETWEEN POPULATION MEANS
- 12.4 A 95% CONFIDENCE INTERVAL FOR SLOPE
- 12.5 A GENERAL FORMULA FOR CONFIDENCE LIMITS
- 12.6 COMPUTING A CONFIDENCE INTERVAL USING R
- 12.7 COMPUTING A 95% CONFIDENCE INTERVAL USING SAS
- 12.8 ADAPTIVE ESTIMATION
- 12.9 ADAPTIVE ESTIMATION OF THE DIFFERENCE BETWEEN TWO POPULATION MEANS
- 12.10 ADAPTIVE ESTIMATION OF A SLOPE IN A MULTIPLE REGRESSION MODEL
- 12.11 COMPUTING AN ADAPTIVE ESTIMATE USING R
- 12.12 COMPUTING AN ADAPTIVE ESTIMATE USING SAS
- 12.13 DISCUSSION
- EXERCISES
- APPENDIX A: R CODE FOR UNIVARIATE ADAPTIVE TESTS
- APPENDIX B: SAS MACRO FOR ADAPTIVE TESTS
- APPENDIX C: SAS MACRO FOR MULTIPLE COMPARISONS PROCEDURES
- APPENDIX D: R CODE FOR ADAPTIVE TESTS WITH BLOCKING FACTORS
- APPENDIX E: R CODE FOR ADAPTIVE TEST WITH PAIRED DATA
- APPENDIX F: SAS MACRO FOR ADAPTIVE TEST WITH PAIRED DATA
- APPENDIX G: R CODE FOR MULTIVARIATE ADAPTIVE TESTS
- APPENDIX H: R CODE FOR CONFIDENCE INTERVALS AND ESTIMATES
- APPENDIX I: SAS MACRO FOR CONFIDENCE INTERVALS
- APPENDIX J: SAS MACRO FOR ESTIMATES
- REFERENCES
- INDEX
Product information
- Title: Adaptive Tests of Significance Using Permutations of Residuals with R and SAS
- Author(s):
- Release date: March 2012
- Publisher(s): Wiley
- ISBN: 9780470922255
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