Nonparametric statistical methods / Myles Hollander, Douglas A. Wolfe, Eric Chicken.

Format:

Book

Author/Creator:

Hollander, Myles.

Contributor:

Chicken, Eric, 1963-

Wolfe, Douglas A.

Series:

Wiley series in probability and statistics

Language:

English

Subjects (All):

Nonparametric statistics.

Mathematical statistics.

Physical Description:

1 online resource (844 pages)

Edition:

Third edition.

Place of Publication:

Hoboken, New Jersey : John Wiley & Sons, Inc., [2014]

Language Note:

English

Summary:

"Written by leading statisticians, this new edition has been completely updated to include additional modern topics and procedures, more real-world data sets, and more problems from real-life situations. Incorporating the R software program, this user-friendly book provides readers with an arsenal of nonparametric techniques, helping them develop the insight needed to choose appropriate procedures for various situations. It features five new chapters with added-on topics including Density Estimation, Kernel Regression, Nonparametric Regression, Ranked-Set Sampling, and Bayesian Nonparametrics"-- Provided by publisher.

"In this third edition we have improved the eleven chapters of the second edition and added five new chapters. Also organized all of the R programs used in this third edition into a documented collection that is formally registered as an R package specifically linked to this third edition. "-- Provided by publisher.

Contents:

Cover

Title Page

Contents

Preface

Chapter 1 Introduction

1.1. Advantages of Nonparametric Methods

1.2. The Distribution-Free Property

Distribution-Free Test Statistic

1.3. Some Real-World Applications

1.4. Format and Organization

Procedure

Large-Sample Approximation

Ties

Example

Comments

Properties

Problems

Efficiency

1.5. Computing with R

1.6. Historical Background

Chapter 2 The Dichotomous Data Problem

Introduction

2.1. A Binomial Test

2.2. An Estimator for the Probability of Success

2.3. A Confidence Interval for the Probability of Success (Wilson)

2.4. Bayes Estimators for the Probability of Success

Chapter 3 The One-Sample Location Problem

Paired Replicates Analyses by Way of Signed Ranks

3.1. A Distribution-Free Signed Rank Test (Wilcoxon)

Hypothesis

3.2. An Estimator Associated with Wilcoxon's Signed Rank Statistic (Hodges-Lehmann)

3.3. A Distribution-Free Confidence Interval Based on Wilcoxon's Signed Rank Test (Tukey)

Paired Replicates Analyses by Way of Signs

3.4. A Distribution-Free Sign Test (Fisher)

3.5. An Estimator Associated with the Sign Statistic (Hodges-Lehmann)

Problems.

3.6. A Distribution-Free Confidence Interval Based on the Sign Test (Thompson, Savur)

One-Sample Data

3.7. Procedures Based on the Signed Rank Statistic

Procedures

3.8. Procedures Based on the Sign Statistic

3.9. An Asymptotically Distribution-Free Test of Symmetry (Randles-Fligner-Policello-Wolfe, Davis-Quade)

Bivariate Data

3.10. A Distribution-Free Test for Bivariate Symmetry (Hollander)

3.11. Efficiencies of Paired Replicates and One-Sample Location Procedures

Chapter 4 The Two-Sample Location Problem

4.1. A Distribution-Free Rank Sum Test (Wilcoxon, Mann and Whitney)

The Mann-Whitney Statistic

4.2. An Estimator Associated with Wilcoxon's Rank Sum Statistic (Hodges-Lehmann)

4.3. A Distribution-Free Confidence Interval Based on Wilcoxon's Rank Sum Test (Moses)

4.4. A Robust Rank Test for the Behrens-Fisher Problem (Fligner-Policello)

4.5. Efficiencies of Two-Sample Location Procedures

Chapter 5 The Two-Sample Dispersion Problem and Other Two-Sample Problems

5.1. A Distribution-Free Rank Test for Dispersion-Medians Equal (Ansari-Bradley)

Properties.

Problems

5.2. An Asymptotically Distribution-Free Test for Dispersion Based on the Jackknife-Medians Not Necessarily Equal (Miller)

5.3. A Distribution-Free Rank Test for Either Location or Dispersion (Lepage)

5.4. A Distribution-Free Test for General Differences in Two Populations (Kolmogorov-Smirnov)

5.5. Efficiencies of Two-Sample Dispersion and Broad Alternatives Procedures

Chapter 6 The One-Way Layout

6.1. A Distribution-Free Test for General Alternatives (Kruskal-Wallis)

6.2. A Distribution-Free Test for Ordered Alternatives (Jonckheere-Terpstra)

6.3. Distribution-Free Tests for Umbrella Alternatives (Mack-Wolfe)

6.3A. A Distribution-Free Test for Umbrella Alternatives, Peak Known (Mack-Wolfe)

6.3B. A Distribution-Free Test for Umbrella Alternatives, Peak Unknown (Mack-Wolfe)

6.4. A Distribution-Free Test for Treatments Versus a Control (Fligner-Wolfe)

Rationale For Multiple Comparison Procedures

6.5. Distribution-Free Two-Sided All-Treatments Multiple Comparisons Based on Pairwise Rankings-General Configuration (Dwass, Steel, and Critchlow-Fligner)

Ties.

Comments

6.6. Distribution-Free One-Sided All-Treatments Multiple Comparisons Based on Pairwise Rankings-Ordered Treatment Effects (Hayter-Stone)

6.7. Distribution-Free One-Sided Treatments-Versus-Control Multiple Comparisons Based on Joint Rankings (Nemenyi, Damico-Wolfe)

Large-Sample Approximations

6.8. Contrast Estimation Based on Hodges-Lehmann Two-Sample Estimators (Spjotvoll)

6.9. Simultaneous Confidence Intervals for All Simple Contrasts (Critchlow-Fligner)

6.10. Efficiencies of One-Way Layout Procedures

Chapter 7 The Two-Way Layout

7.1. A Distribution-Free Test for General Alternatives in a Randomized Complete Block Design (Friedman, Kendall-Babington Smith)

7.2. A Distribution-Free Test for Ordered Alternatives in a Randomized Complete Block Design (Page)

Rationale for Multiple Comparison Procedures

7.3. Distribution-Free Two-Sided All-Treatments Multiple Comparisons Based on Friedman Rank Sums-General Configuration (Wilcoxon, Nemenyi, McDonald-Thompson)

7.4. Distribution-Free One-Sided Treatments Versus Control Multiple Comparisons Based on Friedman Rank Sums (Nemenyi, Wilcoxon-Wilcox, Miller)

7.5. Contrast Estimation Based on One-Sample Median Estimators (Doksum)

Incomplete Block Data-Two-Way Layout with Zero or One Observation Per Treatment-Block Combination

7.6. A Distribution-Free Test for General Alternatives in a Randomized Balanced Incomplete Block Design (BIBD) (Durbin-Skillings-Mack)

7.7. Asymptotically Distribution-Free Two-Sided All-Treatments Multiple Comparisons for Balanced Incomplete Block Designs (Skillings-Mack)

7.8. A Distribution-Free Test for General Alternatives for Data From an Arbitrary Incomplete Block Design (Skillings-Mack)

Replications-Two-Way Layout with at Least One Observation for Every Treatment-Block Combination

7.9. A Distribution-Free Test for General Alternatives in a Randomized Block Design with an Equal Number c(&gt

1) of Replications Per Treatment-Block Combination (Mack-Skillings)

7.10. Asymptotically Distribution-Free Two-Sided All-Treatments Multiple Comparisons for a Two-Way Layout with an Equal Number of Replications in Each Treatment-Block Combination (Mack-Skillings)

Analyses Associated with Signed Ranks

7.11. A Test Based on Wilcoxon Signed Ranks for General Alternatives in a Randomized Complete Block Design (Doksum)

7.12. A Test Based on Wilcoxon Signed Ranks for Ordered Alternatives in a Randomized Complete Block Design (Hollander)

Comments.

Properties.

Notes:

Bibliographic Level Mode of Issuance: Monograph

Includes bibliographical references and indexes.

Description based on print version record.

ISBN:

9781118553299

1118553292

9781119196037

1119196035

9781118677957

1118677951

9781118677995

1118677994

OCLC:

841518521