Adaptive Tests of Significance Using Permutations of Residuals with R and SAS

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John Wiley & Sons, Mar 13, 2012 - Mathematics - 384 pages
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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.

 

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Contents

1 Introduction
1
2 Smoothing Methods and Normalizing Transformations
15
3 A TwoSample Adaptive Test
43
4 Permutation Tests with Linear Models
75
5 An Adaptive Test for a Subset of Coefficients
87
6 More Applications of Adaptive Tests
111
7 The Adaptive Analysis of Paired Data
149
8 Multicenter and CrossOver Trials
169
Appendix B SAS Macro for Adaptive Tests
287
Appendix C SAS Macro for Multiple Comparisons Procedures
299
Appendix D R Code for Adaptive Tests with Blocking Factors
303
Appendix E R Code for Adaptive Test with Paired Data
305
Appendix F SAS Macro for Adaptive Test with Paired Data
309
Appendix G R Code for Multivariate Adaptive Tests
313
Appendix H R Code for Confidence Intervals and Estimates
317
Appendix I SAS Macro for Confidence Intervals
321

9 Adaptive Multivariate Tests
191
10 Analysis of Repeated Measures Data
207
11 RankBased Tests of Significance
235
12 Adaptive Confidence Intervals and Estimates
253
Appendix A R Code for Univariate Adaptive Tests
283
Appendix J SAS Macro for Estimates
329
References
333
Index
341
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About the author (2012)

Thomas W. O'gorman, PhD, is Associate Professor in the Department of Mathematical Sciences at Northern Illinois University. Dr. O'Gorman's current research focuses on the analysis of adaptive methods for performing statistical tests and confidence intervals.

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