What is the idea behind the chi–square test

kinkonillohup

kinkonillohup

Answered question

2022-03-15

What is the idea behind the chi–square test for independence?
a. To compare the cumulative distribution 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 normal distribution with a chi-squared distribution
d. To compare the quantile-quantile (Q-Q) plot with what would be expected under independence

Answer & Explanation

Deven Paul

Deven Paul

Beginner2022-03-16Added 7 answers

Chi-square test for independence compares two variables in a contingency table to check if they are related. Chi-square test for independence is used to test whether distribution of categorical variables different from each other.
Hence, the chi–square test for independence is used to compare the actual counts in a contingency table with what would be expected under independence.
Hence, option b is correct.
1. Q-Q plot is probability plot used to compare two probability distribution by plotting their quantiles against each other.
Hence, option d is not correct.
2. Chi-square test for goodness of fit test is used to compare the observed sample distribution with expected probability distribution. Chi-square goodness of fit test determines how the normal distribution fits the empirical distribution.
Hence, option c is not correct.
3. The chi–square test for independence is not used to compare the cumulative distribution with what would be expected under independence
Hence, option a is not correct.

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