A chi-square test for independence is being used to evaluate the relationship between two variables,

Corbin Walton

Corbin Walton

Answered question

2022-03-04

A chi-square test for independence is being used to evaluate the relationship between two variables, one of which is classified into 2 categories and the second of which is classified into 4 categories. What is the df value for the chi-square statistic?
a. df = 2
b. df = 6
c. df = 7
d. df = 3

Answer & Explanation

OxicegeWheegeb0k

OxicegeWheegeb0k

Beginner2022-03-05Added 3 answers

To assess the relationship between two variables, the chi-square test for independence is used. One of these two variables is divided into two categories, and the other is split into four.
For chi-square test, there will be 2×4 contingency table.
Where, number of rows are 2 and number of columns are 4.
The degrees of freedom for chi-square statistic can be calculated as:
df=(r-1)(c-1); where, r is number of rows and c is number of columns
df=(2-1)(4-1)=3
Thus, correct option is d. df=3.

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