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
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