A Comparison of the Exact and Approximate Power of the Chi-Square Goodness-of-Fit Test.

Abstract

The thesis presents a numerical comparison of the exact and approximate powers of the chi-square goodness-of-fit test for small numbers of classes and small sample sizes for the equiprobable null hypothesis. The comparison was performed using an IBM 360 computer and the computational details are presented within the thesis. In addition a comparison of critical points was conducted for the chi-square distribution and the associated exact, (multinomial), distribution. The results of the power comparisons show that the approximate power is surprisingly good and is recommended as an efficient method for determining type two error associated with the test. Further, use of the chi-square distribution for determining a critical point is reinforced through the numerical comparison of significance levels. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1971
Accession Number
AD0721226

Entities

People

  • Brian Theodore Wright

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Computers
  • Computing Devices
  • Computing-Related Activities
  • Data Science
  • Goodness Of Fit Tests
  • Information Science
  • Interdisciplinary Science
  • Mathematical Analysis
  • Mathematics

Readers

  • Statistical inference.