Question

If you conducted a Repeated Measures ANOVA where the critical region was df (2,38) = 3.25 and F(2,38) = 2.53, what statistical decision would you make?

a. reject the null

b. fail to reject the null

c. Type I error

d. Unable to determine

I would choose b, but I am not sure. Please help?

Answer 1

Given,

If you conducted a repeated measures ANOVA

Where, the critical region was df F(2,38)= 3.25

And calculated value of F(2,38)=2.53

Decision Rule: If we Reject the null hypothesis as,

F calculated > F table value

Here, calculated F(2,38)=2.53 < Critical value F(2,38)=3.25

Fail to reject the null hypothesis

i.e. Accept the null hypothesis

Ans: option b) is correct :- Fail to Reject the null hypothesis.