Nonparametric Statistical Inference

Front Cover
CRC Press, Jul 26, 2010 - Mathematics - 650 pages

Proven Material for a Course on the Introduction to the Theory and/or on the Applications of Classical Nonparametric Methods

Since its first publication in 1971, Nonparametric Statistical Inference has been widely regarded as the source for learning about nonparametric statistics. The fifth edition carries on this tradition while thoroughly revising at least 50 percent of the material.

New to the Fifth Edition

  • Updated and revised contents based on recent journal articles in the literature
  • A new section in the chapter on goodness-of-fit tests
  • A new chapter that offers practical guidance on how to choose among the various nonparametric procedures covered
  • Additional problems and examples
  • Improved computer figures

This classic, best-selling statistics book continues to cover the most commonly used nonparametric procedures. The authors carefully state the assumptions, develop the theory behind the procedures, and illustrate the techniques using realistic research examples from the social, behavioral, and life sciences. For most procedures, they present the tests of hypotheses, confidence interval estimation, sample size determination, power, and comparisons of other relevant procedures. The text also gives examples of computer applications based on Minitab, SAS, and StatXact and compares these examples with corresponding hand calculations. The appendix includes a collection of tables required for solving the data-oriented problems.

Nonparametric Statistical Inference, Fifth Edition provides in-depth yet accessible coverage of the theory and methods of nonparametric statistical inference procedures. It takes a practical approach that draws on scores of examples and problems and minimizes the theorem-proof format.

Jean Dickinson Gibbons was recently interviewed regarding her generous pledge to Virginia Tech.
 

Selected pages

Contents

Introduction and Fundamentals
1
Order Statistics Quantiles and Coverages
29
Tests of Randomness
75
Tests of Goodness of Fit
101
OneSample and PairedSample Procedures
157
The General TwoSample Problem
227
Linear Rank Statistics and the General TwoSample Problem
275
Linear Rank Tests for the Location Problem
289
Measures of Association in Multiple Classifications
437
Asymptotic Relative Efficiency
479
Analysis of Count Data
505
Summary
539
Appendix of Tables
541
Answers to Selected Problems
599
References
605
Index
621

Linear Rank Tests for the Scale Problem
311
Tests of the Equality of k Independent Samples
343
Measures of Association for Bivariate Samples
385
Back cover
631
Copyright

Other editions - View all

Nonparametric Statistical Inference, Fifth Edition
Jean Dickinson Gibbons,Subhabrata Chakraborti
No preview available - 2010

Common terms and phrases

alternative Applications appropriate approximation arrangement association assume assumptions asymptotic calculated called Chapter chi-square coefficient column combined confidence consistent continuous correction correlation corresponding critical values defined denote dependence determine differences discussed effects equal estimate exact example expected expression follows function FX(x given gives identical independent integer interval less linear mean measure median test method nonparametric normal distribution Note null distribution null hypothesis objects observations obtained one-sided order statistics pairs parameters population positive presented probability probability distribution problem procedure provides quantile random sample random variable rank rejection region relation relative respectively result runs sample sizes scale scores shown shows sign test significance simple SOLUTION specified standard STATXACT symmetric Table Tail test statistic Theorem treatment two-sample two-sided variance Wilcoxon zero

About the author (2010)

Jean Dickinson Gibbons is Russell Professor Emerita of Statistics at the University of Alabama.

Subhabrata Chakraborti is a Robert C. and Rosa P. Morrow Faculty Excellence Fellow and professor of statistics at the University of Alabama.

Bibliographic information

TitleNonparametric Statistical Inference
AuthorsJean Dickinson Gibbons, Subhabrata Chakraborti
Edition5, illustrated
PublisherCRC Press, 2010
ISBN1439896127, 9781439896129
Length650 pages
Subjects ›  › 

Mathematics / Probability & Statistics / General
  
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