SELECT ALL THAT APPLY.
-In chi-square test,
A)reducing the observed frequencies by half will cut down the calculated chi-square by exactly half.
B)doubling the observed frequencies will cut down the calculated chi-square by exactly half.
C)a relatively strong association between the variables may significant when the sample size is small.
D)the sample size is inversely proportional to the size of the calculated chi-square.

Question

Quizplus · Accepted Answer

A) Reducing the observed frequencies by half will cut down the calculated chi-square by exactly half. This is because the chi-square statistic is a function of the squared differences between the observed and expected frequencies, and reducing the observed frequencies by half will reduce the squared differences by half.C) A relatively strong association between the variables may not be significant when the sample size is small. This is because the chi-square test is a test of statistical significance, and the significance of a result depends on the sample size. A small sample size will make it more difficult to detect a significant association, even if the association is strong.