Question

A chi-square test for goodness of fit is used to examine the distribution of individuals across three categories, and a chi-square test for independence is used to examine the distribution of individuals in a 2×3 matrix of categories. Which test has the larger value for df?

a. ​The test for independence

b. ​Both tests have the same df

. c. ​The df value depends on the sizes of the samples that are used.

d. ​The test for goodness of fit

Answer 1

Answer:

Given,

To give which test has the larger value for degree of freedom

Here by observing we can say that,

the answer is the degree of freedom may depends on the sample size which are used here.

i.e.,

Degree of freedom = (n - 1)*(m - 1)

So option C is correct answer

​The df value depends on the sizes of the samples that are used