Get the answers you need at Westonci.ca, where our expert community is dedicated to providing you with accurate information. Get the answers you need quickly and accurately from a dedicated community of experts on our Q&A platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.
Sagot :
Answer:
(1, 36)
Step-by-step explanation:
Degrees of freedom for the F-test of the two way ANOVA
Here, we use a two factors, independent measures ANOVA, where, factor [tex]A[/tex] has 2 level and a factor [tex]B[/tex] also has 2 levels.
So, here,
[tex]$k_1$[/tex] = number of levels of A = 2
[tex]k_2[/tex] = number of levels of B = 2
And n = sample size in each treatment condition = 10
So we have,
[tex]d_1[/tex] = df of the main effect A = ([tex]$k_1$[/tex] - 1) = 2 - 1 = 1
[tex]d_2[/tex] = df of the main effect A = ([tex]$k_2$[/tex] - 1) = 2 - 1 = 1
[tex]d_3[/tex] = df of interaction effect (A x B) = ([tex]$k_1$[/tex] - 1)([tex]$k_2$[/tex] - 1)
= (2-1)(2-1)
= 1
And [tex]d_4[/tex] = df of within variation (i.e. error variation) = [tex]$k_1k_2(n-1)$[/tex]
= 2 x 2 x (10 - 1)
= 36
So, the df value for the F-ratio evaluating the main effect of factors-A is
= ([tex]d_1, d_4[/tex])
= (1, 36)
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.
