The chi-square test for independence uses the same formula for the chi-square statistic as the chi-square test for goodness-of-fit.

Question

The chi-square test for independence uses the same formula for the chi-square statistic as the chi-square test for goodness-of-fit.​

Quizplus · Accepted Answer

The chi-square test for independence and the chi-square test for goodness-of-fit both use the same formula for the chi-square statistic, which is calculated as the sum of the squared differences between the observed and expected frequencies, divided by the expected frequencies. However, the difference between the two tests lies in their hypotheses and the way the expected frequencies are calculated. The chi-square test for independence is used to determine whether there is a significant association between two categorical variables, while the chi-square test for goodness-of-fit is used to assess whether an observed frequency distribution fits a hypothesized frequency distribution.

The Chi-Square Test for Independence Uses the Same Formula for the Chi-Square