With several categories in a goodness-of-fit test, a significant result means
A) the categories increase in frequency from left to right.
B) the categories decrease in frequency from left to right.
C) the categories are equally frequent.
D) The test doesn't pay any attention to which category is larger than which other categories.

Question

Quizplus · Accepted Answer

A goodness-of-fit test, such as the Chi-square goodness-of-fit test, is used to determine if there is a significant difference between the observed frequencies and the expected frequencies in one or more categories. It does not assess the order of the categories (whether they increase or decrease in frequency) or require that categories are equally frequent. The test's focus is on the discrepancy between observed and expected frequencies, not on the relative sizes of the categories to each other.

With Several Categories in a Goodness-Of-Fit Test, a Significant Result