A Simple Test for Normality.

Abstract

The mean and the variance of a random sample are independently distributed if and only if the parent population is normal. This characterization is used as a basis for developing a test termed Z-test for the composite hypothesis of normality. The simplicity of Z-test results from the computational ease and the clean form of the finite sample null distribution of the test statistic Z. It compares reasonably in power with several well known tests of normality and is particularly suitable for a joint assessment of normality. A routine for computing the statistic and its P-value is given. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1977
Accession Number
ADA041538

Entities

People

  • Chin-chuong Lin
  • Govind S. Mudholkar

Organizations

  • University of Rochester

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Coefficients
  • Composite Materials
  • Data Science
  • Goodness Of Fit Tests
  • Information Science
  • Monotone Functions
  • Normal Distribution
  • Normality
  • Observation
  • Regression Analysis
  • Scientific Research
  • Skewness
  • Statistics
  • Symmetry

Fields of Study

  • Mathematics

Readers

  • Regression Analysis.