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Introduction to Modern Nonparametric Statistics (Higgins)

 
 Author(s)  James J. Higgins
 Title  Introduction to Modern Nonparametric Statistics
 Edition  
 Year  2004
 Publisher  Thomson Brooks/Cole
 ISBN  0-534-38775-6
 Website  www.cengage.com
 book link  
 




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.




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