Robust Nonparametric Statistical Methods (Hardcover, 2)

One-Sample Problems
Introduction
Location Model
Geometry and Inference in the Location Model
Examples
Properties of Norm-Based Inference
Robustness Properties of Norm-Based Inference
Inference and the Wilcoxon Signed-Rank Norm
Inference Based on General Signed-Rank Norms
Ranked Set Sampling
L₁ Interpolated Confidence Intervals
Two-Sample Analysis

Two-Sample Problems
Introduction
Geometric Motivation
Examples
Inference Based on the Mann-Whitney-Wilcoxon
General Rank Scores
L₁ Analyses
Robustness Properties
Proportional Hazards
Two-Sample Rank Set Sampling (RSS)
Two-Sample Scale Problem
Behrens-Fisher Problem
Paired Designs

Linear Models
Introduction
Geometry of Estimation and Tests
Examples
Assumptions for Asymptotic Theory
Theory of Rank-Based Estimates
Theory of Rank-Based Tests
Implementation of the R Analysis
L₁ Analysis
Diagnostics
Survival Analysis
Correlation Model
High Breakdown (HBR) Estimates
Diagnostics for Differentiating between Fits
Rank-Based Procedures for Nonlinear Models

Experimental Designs: Fixed Effects
Introduction
One-Way Design
Multiple Comparison Procedures
Two-Way Crossed Factorial
Analysis of Covariance
Further Examples
Rank Transform

Models with Dependent Error Structure
Introduction
General Mixed Models
Simple Mixed Models
Arnold Transformations
General Estimating Equations (GEE)
Time Series

Multivariate
Multivariate Location Model
Componentwise
Spatial Methods
Affine Equivariant and Invariant Methods
Robustness of Estimates of Location
Linear Model
Experimental Designs

Appendix: Asymptotic Results

References

Index