Observed frequencies in a chi-square goodness-of-fit test for normality may be less than 5, or even 0, in some cells, as long as the expected frequencies are large enough.

Question

Quizplus · Accepted Answer

According to the chi-square distribution, as long as the expected frequencies are large enough, the distribution of the sample will approximate the normal distribution, even if some observed frequencies are small or equal to zero. Therefore, it is acceptable to have cells with frequencies less than 5 as long as the expected frequencies are higher than 5 or the total sample size is large enough.

Observed Frequencies in a Chi-Square Goodness-Of-Fit Test for Normality May