Table of Contents
1. ONE-SAMPLE METHODS.
Preliminaries.
A Nonparametric Test and Confidence Interval for the Median.
Estimating the Population CDF and Quantiles.
A Comparison of Statistical Tests.
2. TWO-SAMPLE METHODS.
A Two-Sample Permutation Test.
Permutation Tests Based on the Median and Trimmed Means.
Random Sampling the Permutations.
Wilcoxon Rank-Sum Test.
Wilcoxon Rank-Sum Test Adjusted for Ties.
Mann-Whitney Test and a Confidence Interval. Scoring Systems.
Test for Equality of Scale Parameters and an Omnibus Test.
Selecting Among Two-Sample Tests.
Large Sample Approximations.
Exercises.
3. K-SAMPLE METHODS.
K-Sample Permutation Tests.
The Kruskal-Wallis Test.
Multiple Comparisons.
Ordered Alternatives.
Exercises.
4. PAIRED COMPARISONS AND BLOCKED DESIGNS.
Paired Comparison Permutation Test.
Signed-Rank Test.
Other Paired-Comparison Tests.
A Permutation Test for a Randomized Complete Block Design.
Friedman's Test for a Randomized Complete Block Design.
Ordered Alternatives for a Randomized Complete Block Design.
Exercises.
5. TESTS FOR TRENDS AND ASSOCIATION.
A Permutation Test for Correlation and Slope.
Spearman Rank Correlation.
Kendall's Tau.
Permutation Tests for Contingency Tables.
Fisher's Exact Test for a 2 x 2 Contingency Table.
Contingency Tables With Ordered Categories.
Mantel-Haenszel Test.
Exercises.
6. MULTIVARIATE TESTS.
Two-Sample Multivariate Permutation Tests.
Two-Sample Multivariate Rank Tests.
Multivariate Paired Comparisons.
Multivariate Rank Tests for Paired Comparisons.
Multi-response Categorical Data.
Exercises.
7. ANALYSIS OF CENSORED DATA.
Estimating the Survival Function.
Permutation Tests for Two-Sample Censored Data.
Gehan's Generalization of the Mann-Whitney-Wilcoxon Test.
Scoring Systems for Censored Data.
Tests Using Scoring Systems for Censored Data.
Exercises.
8. NONPARAMETRIC BOOTSTRAP METHODS.
The Basic Bootstrap Method.
Bootstrap Intervals for Location-Scale Models.
BCA and Other Bootstrap Intervals.
Correlation and Regression.
Two-Sample Inference.
Bootstrap Sampling from Several Populations.
Bootstrap Sampling for Multiple Regression.
Multivariate Bootstrap Sampling.
Exercises.
9. MULTIFACTOR EXPERIMENTS.
Analysis of Variance Models.
Aligned Rank Transform.
Testing for Lattice-Ordered Alternatives.
Exercises.
10. SMOOTHING METHODS AND ROBUST MODEL FITTING.
Estimating the Probability Density Function.
Nonparametric Curve Smoothing.
Robust and Rank-Based Regression.
Exercises.
TABLES.
REFERENCES.