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?
Accepted Solution
A:
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-kGiven : 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= 18If [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.