A chi-square test for independence is being used to evaluate the relationship between two variables. If the test has df = 3, what can you conclude about the two variables?
| One variable consists of 2 categories and the other consists of 3 categories |
| One variable consists of 2 categories and the other consists of 4 categories |
| Both variables consists of 2 categories |
| Both variables consists of 3 categories |
Answer: One variable consists of 2 categories and the other consists of 4 categories
Reason: For Chi square test for independence , Degrees of freedom = (r-1)*(c-1)
where r - number of rows and
c - number of columns
we know that df = 3
df = (r-1)*(c-1) = 3
if we consider r= 2 and c= 2, the df = 1 which is not correct
if we consider r=3, c=3 then df = 2*2 =4 which is also not correct
if we consider r = 2, c= 3, then df = 1*2 = 2 which is also not correct
but if we consider r = 2, c= 4 , then df = 1*3 = 3 which is the given df
Henec we have One variable consists of 2 categories and the other consists of 4 categories
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