AND ACCURACY OF THE CHI-SQUARE APPROXIMATION

The purposes of this study were to tabulate the exact cumulative probabilities for a multinomial such that expected frequencies vary from 1 to not less than 5 in the case where the expected frequencies are equal and to study the accuracy of the conventional chi-square goodness-of-fit test. The tables of cumulative probabilities provide exact tests of goodness-of-fit in small samples. They also serve as criteria for approximations to the multinomial other than the conventional chi-square test or as criteria for the effectiveness of corrections for that test. (Author/FL