What is the idea behind the chi-square test for independence?
A) to compare the quantile-quantile (Q-Q) plot with what would be expected under independence
B) to compare the actual counts in a contingency table with what would be expected under independence
C) to compare the cumulative distribution with what would be expected under independence
D) none of these choices

Question

Quizplus · Accepted Answer

The chi-square test for independence is used to determine whether there is a statistically significant association between two categorical variables. It does this by comparing the observed counts in a contingency table (which shows the joint distribution of the two variables) with what would be expected if the two variables were independent. The test statistic is the chi-square value, which measures the difference between the observed and expected counts. If the test statistic is large enough, we can conclude that there is evidence of a relationship between the two variables.

What Is the Idea Behind the Chi-Square Test for Independence