<p><p>This textbook provides a self-contained presentation of the main concepts and methods of nonparametric statistical testing, with a particular focus on the theoretical foundations of goodness-of-fit tests, rank tests, resampling tests, and projection tests. The substitution principle is employe
Concepts of Nonparametric Theory
β Scribed by John W. Pratt, Jean D. Gibbons (auth.)
- Publisher
- Springer-Verlag New York
- Year
- 1981
- Tongue
- English
- Leaves
- 475
- Series
- Springer Series in Statistics
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
This book explores both non parametric and general statistical ideas by developing non parametric procedures in simple situations. The major goal is to give the reader a thorough intuitive understanding of the concepts underlying nonparametric procedures and a full appreciation of the properties and operating characteristics of those procedures covered. This book differs from most statistics books by including considerable philosophical and methodological discussion. Special attention is given to discussion of the strengths and weaknesses of various statistical methods and approaches. Difficulties that often arise in applying statistical theory to real data also receive substantial attention. The approach throughout is more conceptual than mathematical. The "Theorem-Proof" format is avoided; generally, properties are "shown," rather than "proved." In most cases the ideas behind the proof of an imΒ portant result are discussed intuitively in the text and formal details are left as an exercise for the reader. We feel that the reader will learn more from working such things out than from checking step-by-step a complete presenΒ tation of all details.
β¦ Table of Contents
Front Matter....Pages i-xvi
Concepts of Statistical Inference and the Binomial Distribution....Pages 1-81
One-Sample and Paired-Sample Inferences Based on the Binomial Distribution....Pages 82-144
One-Sample and Paired-Sample Inferences Based on Signed Ranks....Pages 145-202
One-Sample and Paired-Sample Inferences Based on the Method of Randomization....Pages 203-230
Two-Sample Rank Procedures for Location....Pages 231-295
Two-Sample Inferences Based on the Method of Randomization....Pages 296-317
Kolmogorov-Smirnov Two-Sample Tests....Pages 318-344
Asymptotic Relative Efficiency....Pages 345-424
Back Matter....Pages 425-463
β¦ Subjects
Statistics, general
π SIMILAR VOLUMES
Β This book provides a systematic in-depth analysis of nonparametric regression with random design. It covers almost all known estimates. The emphasis is on distribution-free properties of the estimates.