A researcher reports an F-ratio with df = 3, 36 from an independent-measures res

Question

A researcher reports an F-ratio with df = 3, 36 from an independent-measures research study. Based on the df values, how many treatments (or groups) were compared in the study and what was the total number of subjects participating in the study?

a. 4 treatments and 40 subjects

b. 2 treatments and 35 subjects

c. 3 treatments and 37 subjects

d. 4 treatments and 36 subjects

a. 4 treatments and 40 subjects

b. 2 treatments and 35 subjects

c. 3 treatments and 37 subjects

d. 4 treatments and 36 subjects

Explanation / Answer

Solution:

Given that degree of freedom is 3.

Then,df=k-1

3=k-1

k=4

Hence, total no of treatment is to compare is 4.

And no of the participant can be calculated as:

n-1=(n-k)+(k-1)

n-1=36+3

n=39+1

n=40

Thus,4 treatments and 40 subjects.

option (a) is correct.

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