THE CHI SQUARE TEST OF GOODNESS OF FIT: EXACT CRITICAL VALUES FOR THE CASE OF EQUIPROBABLE ALTERNATIVES
ARMY MEDICAL RESEARCH LAB FORT KNOX KY
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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.
- Statistics and Probability