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E-book
Author Hollander, Myles

Title Nonparametric statistical methods
Edition Third edition / Myles Hollander, Department of Statistics, Florida State University, Tallahassee, Florida, Douglas A. Wolfe, Department of Statistics, Ohio State University, Columbus, Ohio, Eric Chicken, Department of Statistics, Florida State University, Tallahassee, Florida
Published Hoboken, New Jersey : John Wiley & Sons, Inc., [2013]
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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 -- Procedure -- Large-Sample Approximation -- Comments -- Properties -- Problems -- 2.2. An Estimator for the Probability of Success -- Procedure -- Properties -- Problems -- 2.3. A Confidence Interval for the Probability of Success (Wilson) -- Procedure -- Properties -- Problems -- 2.4. Bayes Estimators for the Probability of Success -- Procedure -- Comments -- Properties -- Problems -- Chapter 3 The One-Sample Location Problem -- Introduction -- Paired Replicates Analyses by Way of Signed Ranks -- 3.1. A Distribution-Free Signed Rank Test (Wilcoxon) -- Hypothesis -- Procedure -- Large-Sample Approximation -- Ties -- Comments -- Properties -- Problems -- 3.2. An Estimator Associated with Wilcoxon's Signed Rank Statistic (Hodges-Lehmann) -- Procedure -- Comments -- Properties -- Problems -- 3.3. A Distribution-Free Confidence Interval Based on Wilcoxon's Signed Rank Test (Tukey) -- Procedure -- Large-Sample Approximation -- Comments -- Properties -- Problems -- Paired Replicates Analyses by Way of Signs -- 3.4. A Distribution-Free Sign Test (Fisher) -- Hypothesis -- Procedure -- Large-Sample Approximation -- Ties -- Comments -- Properties -- Problems -- 3.5. An Estimator Associated with the Sign Statistic (Hodges-Lehmann) -- Procedure -- Comments -- Properties -- Problems
3.6. A Distribution-Free Confidence Interval Based on the Sign Test (Thompson, Savur) -- Procedure -- Large-Sample Approximation -- Comments -- Properties -- Problems -- One-Sample Data -- 3.7. Procedures Based on the Signed Rank Statistic -- Procedures -- Comments -- Properties -- Problems -- 3.8. Procedures Based on the Sign Statistic -- Procedures -- Comments -- Properties -- Problems -- 3.9. An Asymptotically Distribution-Free Test of Symmetry (Randles-Fligner-Policello-Wolfe, Davis-Quade) -- Hypothesis -- Procedure -- Ties -- Comments -- Properties -- Problems -- Bivariate Data -- 3.10. A Distribution-Free Test for Bivariate Symmetry (Hollander) -- Hypothesis -- Procedure -- Comments -- Properties -- Problems -- 3.11. Efficiencies of Paired Replicates and One-Sample Location Procedures -- Chapter 4 The Two-Sample Location Problem -- Introduction -- 4.1. A Distribution-Free Rank Sum Test (Wilcoxon, Mann and Whitney) -- Hypothesis -- Procedure -- Large-Sample Approximation -- Ties -- The Mann-Whitney Statistic -- Comments -- Properties -- Problems -- 4.2. An Estimator Associated with Wilcoxon's Rank Sum Statistic (Hodges-Lehmann) -- Procedure -- Comments -- Properties -- Problems -- 4.3. A Distribution-Free Confidence Interval Based on Wilcoxon's Rank Sum Test (Moses) -- Procedure -- Large-Sample Approximation -- Comments -- Properties -- Problems -- 4.4. A Robust Rank Test for the Behrens-Fisher Problem (Fligner-Policello) -- Hypothesis -- Procedure -- Large-Sample Approximation -- Ties -- Comments -- Properties -- Problems -- 4.5. Efficiencies of Two-Sample Location Procedures -- Chapter 5 The Two-Sample Dispersion Problem and Other Two-Sample Problems -- Introduction -- 5.1. A Distribution-Free Rank Test for Dispersion-Medians Equal (Ansari-Bradley) -- Hypothesis -- Procedure -- Large-Sample Approximation -- Ties -- Comments -- Properties
Problems -- 5.2. An Asymptotically Distribution-Free Test for Dispersion Based on the Jackknife-Medians Not Necessarily Equal (Miller) -- Hypothesis -- Procedure -- Ties -- Comments -- Properties -- Problems -- 5.3. A Distribution-Free Rank Test for Either Location or Dispersion (Lepage) -- Hypothesis -- Procedure -- Large-Sample Approximation -- Ties -- Comments -- Properties -- Problems -- 5.4. A Distribution-Free Test for General Differences in Two Populations (Kolmogorov-Smirnov) -- Hypothesis -- Procedure -- Large-Sample Approximation -- Ties -- Comments -- Properties -- Problems -- 5.5. Efficiencies of Two-Sample Dispersion and Broad Alternatives Procedures -- Chapter 6 The One-Way Layout -- Introduction -- Hypothesis -- 6.1. A Distribution-Free Test for General Alternatives (Kruskal-Wallis) -- Procedure -- Large-Sample Approximation -- Ties -- Comments -- Properties -- Problems -- 6.2. A Distribution-Free Test for Ordered Alternatives (Jonckheere-Terpstra) -- Procedure -- Large-Sample Approximation -- Ties -- Comments -- Properties -- Problems -- 6.3. Distribution-Free Tests for Umbrella Alternatives (Mack-Wolfe) -- 6.3A. A Distribution-Free Test for Umbrella Alternatives, Peak Known (Mack-Wolfe) -- Procedure -- Large-Sample Approximation -- Ties -- Comments -- Properties -- Problems -- 6.3B. A Distribution-Free Test for Umbrella Alternatives, Peak Unknown (Mack-Wolfe) -- Procedure -- Ties -- Comments -- Problems -- 6.4. A Distribution-Free Test for Treatments Versus a Control (Fligner-Wolfe) -- Procedure -- Large-Sample Approximation -- Ties -- Comments -- Properties -- Problems -- 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) -- Procedure -- Large-Sample Approximation -- Ties -- Comments -- Properties -- Problems -- 6.6. Distribution-Free One-Sided All-Treatments Multiple Comparisons Based on Pairwise Rankings-Ordered Treatment Effects (Hayter-Stone) -- Procedure -- Large-Sample Approximation -- Ties -- Comments -- Properties -- Problems -- 6.7. Distribution-Free One-Sided Treatments-Versus-Control Multiple Comparisons Based on Joint Rankings (Nemenyi, Damico-Wolfe) -- Procedure -- Large-Sample Approximations -- Ties -- Comments -- Properties -- Problems -- 6.8. Contrast Estimation Based on Hodges-Lehmann Two-Sample Estimators (Spjotvoll) -- Procedure -- Comments -- Properties -- Problems -- 6.9. Simultaneous Confidence Intervals for All Simple Contrasts (Critchlow-Fligner) -- Procedure -- Large-Sample Approximation -- Comments -- Properties -- Problems -- 6.10. Efficiencies of One-Way Layout Procedures -- Chapter 7 The Two-Way Layout -- Introduction -- Hypothesis -- 7.1. A Distribution-Free Test for General Alternatives in a Randomized Complete Block Design (Friedman, Kendall-Babington Smith) -- Procedure -- Large-Sample Approximation -- Ties -- Comments -- Properties -- Problems -- 7.2. A Distribution-Free Test for Ordered Alternatives in a Randomized Complete Block Design (Page) -- Procedure -- Large-Sample Approximation -- Ties -- Comments -- Properties -- Problems -- 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) -- Procedure -- Large-Sample Approximation -- Ties -- Comments -- Properties -- Problems -- 7.4. Distribution-Free One-Sided Treatments Versus Control Multiple Comparisons Based on Friedman Rank Sums (Nemenyi, Wilcoxon-Wilcox, Miller) -- Procedure -- Large-Sample Approximation -- Ties -- Comments -- Properties -- Problems -- 7.5. Contrast Estimation Based on One-Sample Median Estimators (Doksum) -- Procedure -- Comments -- Properties -- Problems -- 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) -- Procedure -- Large-Sample Approximation -- Ties -- Comments -- Properties -- Problems -- 7.7. Asymptotically Distribution-Free Two-Sided All-Treatments Multiple Comparisons for Balanced Incomplete Block Designs (Skillings-Mack) -- Procedure -- Ties -- Comments -- Properties -- Problems -- 7.8. A Distribution-Free Test for General Alternatives for Data From an Arbitrary Incomplete Block Design (Skillings-Mack) -- Procedure -- Large-Sample Approximation -- Ties -- Comments -- Properties -- Problems -- 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(>1) of Replications Per Treatment-Block Combination (Mack-Skillings) -- Procedure -- Large-Sample Approximation -- Ties -- Comments -- Properties -- Problems
Summary "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
Notes "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
Bibliography Includes bibliographical references and indexes
Notes Copyright © John Wiley & Sons 2014
Print version record and CIP data provided by publisher
Subject Nonparametric statistics.
Statistics, Nonparametric
MATHEMATICS -- Probability & Statistics -- General.
Nonparametric statistics
Form Electronic book
Author Wolfe, Douglas A
Chicken, Eric, 1963-
LC no. 2013017379
ISBN 9781118677995
1118677994
9781118553299
1118553292
9781118553275
1118553276
9781119196037
1119196035
9781306118507
1306118506