Hollander M., Wolfe D.A. Nonparametric Statistical Methods

Second Edition. — John Wiley & Sons, 1999. — 816 p. — ISBN: 0-471-19045-4.The importance of nonparametric methods in modern statistics has grown dramatically since their inception in the mid-1930s. Requiring few or no assumptions about the populations from which data are obtained, they have emerged as the preferred methodology among statisticians and researchers performing data analysis. Today, these highly efficient techniques are being applied to an ever-widening variety of experimental designs in the social, behavioral, biological, and physical sciences.This long-awaited Second Edition of Myles Hollander and Douglas A. Wolfe's successful Nonparametric Statistical Methods meets the needs of a new generation of users, with completely up-to-date coverage of this important statistical area. Like its highly acclaimed predecessor, the revised edition, along with its companion ftp site, aims to equip students with the conceptual and technical skills necessary to select and apply the appropriate procedures for a given situation. An extensive array of examples drawn from actual experiments illustrates clearly how to use nonparametric approaches to handle one- or two-sample location and dispersion problems, dichotomous data, and one-way and two-way layout problems. Rewritten and updated, this Second Edition now includes new or expanded coverage of:
1) Nonparametric regression methods.
2) The bootstrap.
3) Contingency tables and the odds ratio.
4) Life distributions and survival analysis.
5) Nonparametric methods for experimental designs.
6) More procedures, real-world data sets, and problems.
7) Illustrated examples using Minitab and StatXact.
An ideal text for an upper-level undergraduate or first-year graduate course, this text is also an invaluable source for professionals who want to keep abreast of the latest developments within this dynamic branch of modern statistics.Advantages of Nonparametric Methods, The Distribution-Free Property, Some Real-World Applications,
Scope, Format and Organization, Computing Packages, Historical Background, Guide.
The Dichotomous Data Problem.
A Binomial Test, An Estimator for the Probability of Success, A Confidence Interval for the Probability of Success (Clopper-Pearson).
The One-Sample Location Problem.
Paired Replicates Analyses By Way of Signed Ranks.
A Distribution-Free Signed Rank Test (Wilcoxon).
An Estimator Associated with Wilcoxon's Signed Rank Statistic (Hodges-Lehmann).
A Distribution-Free Confidence Interval Based on Wilcoxon's Signed Rank Test (Tukey).
Paired Replicate Analyses By Way of Signs.
A Distribution-Free Sign Test (Fisher).
An Estimator Associated with the Sign Statistic (Hodges-Lehmann).
A Distribution-Free Confidence Interval Based on the Sign Test (Thompson Savur).
One-Sample Data.
Procedures Based on the Signed Rank Statistic.
Procedures Based on the Sign Statistic.
An Asymptotically Distribution-Free Test of Symmetry (Randles-Fligner-Policello-Wolfe, Davis-Quade).
Bivariate Data.
A Distribution-Free Test for Bivariate Symmetry (Hollander).
Efficiencies of Paired Replicates and One-Sample Location Procedures.
The Two-Sample Location Problem.
A Distribution-Free Rank Sum Test (Wilcoxon, Mann and Whitney).
An Estimator Associated with Wilcoxon's Rank Sum Statistic (Hodges-Lehmann).
A Distribution-Free Confidence Interval Based on Wilcoxon's Rank Sum Test (Moses).
A Robust Rank Test for the Behrens-Fisher Problem (Fligner-Policello).
Efficiencies of Two-Sample Location Procedures.
The Two-Sample Dispersion Problem and Other.
Two-Sample Problems.
A Distribution-Free Rank Test for Dispersion—Medians Equal (Ansari-Bradley).
An Asymptotically Distribution-Free Test for Dispersion Based on the Jackknife—Medians Not Necessarily Equal (Miller).
A Distribution-Free Rank Test for Either Location or Dispersion (Lepage).
A Distribution-Free Test for General Differences in Two Populations (Kolmogorov-Smirnov).
Efficiencies of Two-Sample Dispersion and Broad Alternatives Procedures.
The One-Way Layout.
A Distribution-Free Test for General Alternatives (Kruskal-Wallis).
A Distribution-Free Test for Ordered Alternatives (Jonckheere Terpstra).
Distribution-Free Tests for Umbrella Alternatives (Mack-Wolfe):
A) A Distribution-Free Test for Umbrella Alternatives, Peak Known (Mack-Wolfe);
B) A Distribution-Free Test for Umbrella Alternatives, Peak Unknown (Mack-Wolfe).
A Distribution-Free Test for Treatments versus a Control (Fligner-Wolfe).
Distribution-Free Two-Sided All-Treatments Multiple Comparisons Based on Pairwise Rankings—General Configuration (Dwass, Steel Critchlow-Fligner).
Distribution-Free One-Sided All-Treatments Multiple Comparisons Based on Pairwise Rankings-Ordered Treatment Effects (Hayter-Stone).
Distribution-Free One-Sided Treatments versus Control Multiple Comparisons Based on Joint Rankings (Nemenyi, Damico-Wolfe).
Contrast Estimation Based on Hodges-Lehmann Two-Sample Estimators (Spjøtvoll).
Simultaneous Confidence Intervals for All Simple Contrasts (Critchlow-Fligner).
Efficiencies of One-Way Layout Procedures.
The Two-Way Layout.
A Distribution-Free Test for General Alternatives in a Randomized Complete Block Design (Friedman, Kendall-Babington Smith).
A Distribution-Free Test for Ordered Alternatives in a Randomized Complete Block Design (Page).
Distribution-Free Two-Sided All-Treatments Multiple Comparisons Based on Friedman Rank Sums—General Configuration (Wilcoxon,
Nemenyi, McDonald-Thompson).
Distribution-Free One-Sided Treatments versus Control Multiple Comparisons Based on Friedman Rank Sums (Nemenyi, Wilcoxon-Wilcox Miller).
Contrast Estimation Based on One-Sample Median Estimators (Doksum).
Incomplete Block Data—Two-way Layout with Zero or One Observation per Treatment-Block Combination.
A Distribution-Free Test for General Alternatives in a Randomized Balanced Incomplete Block Design (BIBD) (Durbin, Skillings-Mack).
Asymptotically Distribution-Free Two-Sided All-Treatments Multiple Comparisons for Balanced Incomplete Block Designs (Skillings-Mack).
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.
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).
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.
A Test Based on Wilcoxon Signed Ranks for General Alternatives in a Randomized Complete Block Design (Doksum).
A Test Based on Wilcoxon Signed Ranks for Ordered Alternatives in a Randomized Complete Block Design (Hollander).
Approximate Two-Sided All-Treatments Multiple Comparisons Based on Signed Ranks (Nemenyi).
Approximate One-Sided Treatments versus Control Multiple Comparisons Based on Signed Ranks (Hollander).
Contrast Estimation Based on One-Sample Hodges-Lehmann Estimators (Lehmann).
Efficiencies of Two-Way Layout Procedures.
The Independence Problem.
A Distribution-Free Test for Independence Based on Signs (Kendall).
An Estimator Associated with the Kendall Statistic (Kendall).
An Asymptotically Distribution-Free Confidence Interval Based on the Kendall Statistic (Samara-Randies, Fligner-Rust, Noether).
An Asymptotically Distribution-Free Confidence Interval Based on Efron's Bootstrap.
A Distribution-Free Test for Independence Based on Ranks (Spearman).
A Distribution-Free Test for Independence Against Broad Alternatives (Hoeffding).
Efficiencies of Independence Procedures.
Regression Problems.
One Regression Line.
A Distribution-Free Test for the Slope of the Regression Line (Theil).
A Slope Estimator Associated with the Theil Statistic (Theil).
A Distribution-Free Confidence Interval Associated with the Theil Test (Theil).
An Intercept Estimator Associated with the Theil Statistic and Use of the Estimated Linear Relationship for Prediction (Hettmansperger-McKean-Sheather).
k (>2) Regression Lines.
An Asymptotically Distribution-Free Test for the Parallelism of Several Regression Lines (Sen, Adichie).
General Multiple Linear Regression.
Asymptotically Distribution-Free Rank-Based Tests for General Multiple Linear Regression (Jaeckel, Hettmansperger-McKean).
Nonparametric Regression Analysis.
An Introduction to Non-Rank-Based Approaches to Nonparametric Regression Analysis.
Efficiencies of Regression Procedures.
Comparing Two Success Probabilities.
Approximate Tests and Confidence Intervals for the Difference between Two Success Probabilities (Pearson).
An Exact Test for the Difference between Two Success Probabilities (Fisher).
Inference for the Odds Ratio (Fisher, Cornfield).
Inference for k Strata of 2 x 2 Tables (Mantel and Haenszel).
Efficiencies.
Life Distributions and Survival Analysis.
A Test of Exponentiality versus IFR Alternatives (Epstein).
A Test of Exponentiality versus NBU Alternatives (Hollander-Proschan).
A Test of Exponentiality versus DMRL Alternatives (Hollander-Proschan).
A Test of Exponentiality versus a Trend Change in Mean Residual Life (Guess-Hollander-Proschan).
A Confidence Band for the Distribution Function (Kolmogorov).
An Estimator of the Distribution Function When the Data Are Censored (Kaplan-Meier).
A Two-Sample Test for Censored Data (Mantel).
Efficiencies.
Appendix. Tables and Charts.
Answers to Selected Problems.