A researcher reports an F-ratio with df = 2, 36 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?
a. 2 treatments and 37 subjects
b. 2 treatments and 38 subjects
c. 3 treatments and 38 subjects
d. 3 treatments and 39 subjects
d. 3 treatments and 39 subjects.
first df 2 = t-1 so t = 3 and second df = 36 = N- t => N = 36 + 3 = 39.
,n,kn
Hmm, let me put on my thinking wig... I mean, cap.
Since the DF (degrees of freedom) are given as 2 and 36, we can decipher that there were 3 treatments compared in the study. The first number represents the number of treatments minus one, and the second number represents the total number of subjects minus the total number of treatments.
So, the correct answer is c. 3 treatments and 38 subjects. Keep studying those stats, you're doing great!
To determine the number of treatments compared in the study, we look at the numerator degrees of freedom (df) in the F-ratio. In this case, the df is 2. The numerator df represents the number of treatments minus 1.
Therefore, the number of treatments compared in the study is 2 + 1 = 3.
To find the total number of subjects participating in the study, we look at the denominator degrees of freedom (df) in the F-ratio. In this case, the df is 36. The denominator df represents the total number of subjects minus the number of treatments.
Therefore, the total number of subjects participating in the study is 36 + 3 = 39.
Therefore, the correct answer is option d. 3 treatments and 39 subjects.
To determine the number of treatments compared in the study and the total number of subjects participating, we can analyze the degrees of freedom (df) values provided.
The F-ratio df is given as df = 2, 36. The first df value (numerator df) represents the degrees of freedom for the treatments, and the second df value (denominator df) represents the degrees of freedom for the error.
In an independent-measures research study, the numerator df is equal to the number of treatments minus 1, and the denominator df is equal to the total number of subjects minus the number of treatments.
Let's solve the problem step by step:
Numerator df (df1) = Number of treatments - 1
Denominator df (df2) = Total number of subjects - Number of treatments
Given df = 2, 36:
df1 = 2
df2 = 36
Number of treatments = df1 + 1 = 2 + 1 = 3
Total number of subjects = df2 + Number of treatments = 36 + 3 = 39
Therefore, the correct answer is d. 3 treatments and 39 subjects.