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# Nonparametric Statistical Inference, Fifth Edition

## byJean Dickinson Gibbons, Subhabrata ChakrabortiEditorJean Dickinson Gibbons

### Hardcover | July 26, 2010

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### about

* 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.

### Details & Specs

The following ISBNs are associated with this title:

ISBN - 10:1420077619

ISBN - 13:9781420077612

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### Extra Content

Table of Contents

**Introduction and Fundamentals**

Introduction

Fundamental Statistical Concepts

**Order Statistics, Quantiles, and Coverages **Introduction

Quantile Function

Empirical Distribution Function

Statistical Properties of Order Statistics

Probability-Integral Transformation

Joint Distribution of Order Statistics

Distributions of the Median and Range

Exact Moments of Order Statistics

Large-Sample Approximations to the Moments of Order Statistics

Asymptotic Distribution of Order Statistics

Tolerance Limits for Distributions and Coverages

**Tests of Randomness **Introduction

Tests Based on the Total Number of Runs

Tests Based on the Length of the Longest Run

Runs Up and Down

A Test Based on Ranks

**Tests of Goodness of Fit**

Introduction

The Chi-Square Goodness-of-Fit Test

The Kolmogorov¿Smirnov One-Sample Statistic

Applications of the Kolmogorov¿Smirnov One-Sample Statistics

Lilliefors¿s Test for Normality

Lilliefors¿s Test for the Exponential Distribution

Anderson¿Darling Test

Visual Analysis of Goodness of Fit

**One-Sample and Paired-Sample Procedures**

Introduction

Confidence Interval for a Population Quantile

Hypothesis Testing for a Population Quantile

The Sign Test and Confidence Interval for the Median

Rank-Order Statistics

Treatment of Ties in Rank Tests

The Wilcoxon Signed-Rank Test and Confidence Interval

**The General Two-Sample Problem **Introduction

The Wald¿Wolfowitz Runs Test

The Kolmogorov¿Smirnov Two-Sample Test

The Median Test

The Control Median Test

The Mann¿Whitney

*U*Test and Confidence Interval

**Linear Rank Statistics and the General Two-Sample Problem**

Introduction

Definition of Linear Rank Statistics

Distribution Properties of Linear Rank Statistics

Usefulness in Inference

**Linear Rank Tests for the Location Problem**

Introduction

The Wilcoxon Rank-Sum Test and Confidence Interval

Other Location Tests

**Linear Rank Tests for the Scale Problem **Introduction

The Mood Test

The Freund¿Ansari¿Bradley¿David¿Barton Tests

The Siegel¿Tukey Test

The Klotz Normal-Scores Test

The Percentile Modified Rank Tests for Scale

The Sukhatme Test

Confidence-Interval Procedures

Other Tests for the Scale Problem

Applications

**Tests of the Equality of k Independent Samples**

Introduction

Extension of the Median Test

Extension of the Control Median Test

The Kruskal¿Wallis One-Way ANOVA Test and Multiple Comparisons

Other Rank-Test Statistics

Tests against Ordered Alternatives

Comparisons with a Control

**Measures of Association for Bivariate Samples**

Introduction: Definition of Measures of Association in a Bivariate Population

Kendall¿s Tau Coefficient

Spearman¿s Coefficient of Rank Correlation

The Relations between *R* and *T*; *E(R), ¿,* and *¿ *

Another Measure of Association

Applications

**Measures of Association in Multiple Classifications **Introduction

Friedman¿s Two-Way Analysis of Variance by Ranks in a

*k ¿n*Table and Multiple Comparisons

Page¿s Test for Ordered Alternatives

The Coefficient of Concordance for

*k*Sets of Rankings of n Objects

The Coefficient of Concordance for

*k*Sets of Incomplete Rankings

Kendall¿s Tau Coefficient for Partial Correlation

**Asymptotic Relative Efficiency **Introduction

Theoretical Bases for Calculating the ARE

Examples of the Calculations of Efficacy and ARE

**Analysis of Count Data**

Introduction

Contingency Tables

Some Special Results for *k* ¿2 Contingency Tables

Fisher¿s Exact Test

McNemar¿s Test

Analysis of Multinomial Data

**Summary**

**Appendix of Tables **

**Answers to Problems**

**References**

**Index**

*A Summary and Problems appear at the end of each chapter.*

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