A researcher reports an F-ratio with df = 2, 18 from an independent-measures research study. Based on the df values, how many treatments were compared in the study and what was the total number of subjects participating in the study?​

Respuesta :

Answer: 3 treatments and 21 subjects were participating in the study .

Step-by-step explanation:

Let the number of treatments be k and the total number of subjects participating in the study be n.

Then , the df for numerator of F-ratio = k-1

df for denominator of F-ratio = n-k

Given : A researcher reports an F-ratio with df = 2, 18 from an independent-measures research study.

Based on the df values, we have

k-1 = 2 and n-k= 18

If [tex]k-1=2\\\Rightarrow\ k=2+1=3[/tex]

Then, [tex]n-3= 18\Rightarrow\ n=18+3=21[/tex]

Therefore , 3 treatments were compared in the study and 21 subjects were participating in the study is 21.

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