Question

A researcher used an analysis of variance to compare three treatment conditions with
a separate sample of n = 8 participants in each treatment. The results of the analysis are shown
in the following summary. Fill in all missing values in the table. (Hint: Start with the df
values.)

Source SS df MS
Between Treatments ____ ____ ____ F = 4
Within Treatments 63 ____ ____
Total ____ ____


So,the DF is 2, 7 and total is 9 am I correct? Don't know how to get the rest?

Answer 1

Here is how to finish your table:

To calculate df between:
k - 1 = 3 - 1 = 2
Note: k = number of levels.

To calculate df within:
N - k = 24 - 3 = 21
Note: N = total number of values in all levels.

df total = df between + df within = 23

To calculate MS between:
SS between/df between = MS between
Therefore: x/2 = 12; x = 24 (SS between)

To calculate MS within:
SS within/df within = 63/21 = 3

To calculate F-ratio:
MS between/MS within = F-ratio
Therefore: x/3 = 4; x = 12 (MS between)

SS total = SS between + SS within = 87

Double check my calculations.

Answer 2

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