Tables for the Use of Range and Studentized Range in Tests of Hypotheses: 1st Edition (Hardback) book cover

Tables for the Use of Range and Studentized Range in Tests of Hypotheses

1st Edition

By H. Leon Harter, N. Balakrishnan

CRC Press

688 pages

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Hardback: 9780849331145
pub: 1997-10-27
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Description

A companion volume to the authors' previous well-received work, the CRC Handbook of Tables for the Use of Order Statistics in Estimation, this handbook discusses testing whether a hypothesis is true or false. Together, these volumes are your complete reference to theory and important tables relating to order statistics and their applications.

Once a researcher completes an experiment, the resulting data is assumed to have come from a normal distribution with its mean and variance unknown. The researcher is then presented with a hypothesis testing problem. The use of order statistics and related functions offers a simple, powerful, and interesting approach to solving this problem.

This volume presents an introduction to the use of order statistics and explains the various problems and their applications. The role of order statistics in solving these problems is examined, several important statistics are introduced, and their use in addressing testing of hypothesis problems is highlighted. The book also includes numerous tables that facilitate the methods of hypothesis testing using order statistics. Examples are given of the use of these tables in multiple comparison tests, with attention to error rates and sample sizes, and in the analog range of analysis of variance.

Table of Contents

List of Tables

Introduction

The Range of Samples from a Normal Population

Percentage Points of the Ratio of Two Ranges and Related Titles

Probability Integral, Percentage Points, and Moments of the Range

Applications to Control Charts

Applications to Tests of Homogeneity in Multinomial and Multivariate Hypergeometric Distributions

The Studentized Range of Samples from a Normal Population

Probability Integral and Percentage Points of the Studentized Range; Critical Values for Duncan's Multiple Range Test

Error Rates and Sample Sizes for Multiple Comparison Tests Based on the Studentized Range

Analysis of Variance Based on the (Studentized) Range

Applications to Outlier-Testing

Appendix A. Tables Based on the Range

Appendix B. Tables Based on the Studentized Range

Author Index

Subject Index

Subject Categories

BISAC Subject Codes/Headings:
MAT029000
MATHEMATICS / Probability & Statistics / General
MED090000
MEDICAL / Biostatistics