Question

Source                                 SS                     df                      MS                           F

Between Groups              203.333             2                    101.667                      22.59

Within Groups                   54                       12                       4.5

Which of the numbers above represents the variability among the group means?

Which of the above numbers is the numerator of the average variance within the groups?

What is the critical F needed for significance given the situation above?

Assuming = cell frequencies, how many subjects in each group for the data above?

Answer 1

Which of the numbers above represents the variability among the group means?

anwer :- Between group SS = 203.333

Which of the above numbers is the numerator of the average variance within the groups?

answer :- Within group SS = 54

What is the critical F needed for significance given the situation above?

Answer :- the critical value is -

   where   level of significance

(it is nt mentioned in the question that is given here , so I can not find the value. You can also mention it in the comments so that I can update my answer. Otherwise you have to find it by yourself. For example , if   0.05, then    = ).

Assuming = cell frequencies, how many subjects in each group for the data above?

answer:- Here,  Within Groups df = 12 = (n - k) ,  and Between groups df = 2 =( k - 1)

where n = total number of subjects in the sample and k = total number of groups .

So, k = 3 and n = 12 + 3 = 15

Therefore, assuming equal cell frequencies, each group has ( n / k ) = ( 15 / 3 ) = 5 subjects in each.