What relationship, if any, is there between the single observed F value of part a and the three observed F values of part b?

A graduate student has conducted a four-group study in which he tested the following three planned comparisons: The sums of squares for the three comparisons are 75,175, and 125, respectively. The value of MSW equals 25, and there were 11 participants in each group. The student’s adviser wonders whether the omnibus F test of would be statistically significant for these data. Can you help her? a. Is it possible to perform the test of the omnibus null hypothesis from the available information? If so, is the test significant? If it is not possible, explain why not. b. Find the observed F value for each of the planned comparisons tested by the student. Which, if any, are statistically significant with an «Ew level of .05? c. What relationship, if any, is there between the single observed F value of part a and the three observed F values of part b?


 

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