On the Distributions of the W and W' Statistics for Testing for Normality.

Abstract

An investigation is made into the asymptotic distributions of W and W', statistics introduced by Shapiro and Wilk and Shapiro and Francia for testing for normality. Some simple approximations are given for the null percentage points for large n. Some problems are posed concerning asymptotic behavior of several scalar quantities of interest in the study of normal order statistics.

Document Details

Document Type
Technical Report
Publication Date
Apr 11, 1975
Accession Number
ADA013086

Entities

People

  • M. A. Stephens

Organizations

  • Stanford University

Tags

DTIC Thesaurus Topics

  • Computing-Related Activities
  • Data Science
  • Information Science
  • Interdisciplinary Science
  • Normality
  • Order Statistics
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Statistical inference.