THE CHI SQUARE TEST OF GOODNESS OF FIT: EXACT CRITICAL VALUES FOR THE CASE OF EQUIPROBABLE ALTERNATIVES

Abstract

A table of exact critical values of the chi square criterion of goodness of fit for n observations in k equiprobable categories is presented (2 < or = n < or = 15, 2 < or = k < or = 15). The nominal significance levels are: alpha < or = .200, .100, .050, .025, .010, .005, .001. Exact significance levels are presented for alpha < or = .050, and it is shown that the true significance levels of the standard (continuous) chi square test with alpha = . 050 exceed .050 in 27 percent of the cases examined. Thus, while the exact test is uniformly conservative with respect to Type 1 errors, the standard test is not.

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Document Details

Document Type
Technical Report
Publication Date
Dec 05, 1966
Accession Number
AD0645905

Entities

People

  • James N. Cronholm

Organizations

  • United States Army Medical Research Laboratory

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  • Biomedical

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  • Abstracts
  • Biomedical Research
  • Chi Square Test
  • Classification
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  • Statistical Inference
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Fields of Study

  • Mathematics

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