If so, can the contrast be declared significant with this method?

The following summary data are obtained in a four-group study, with 25 participants per group: After examining the data, the experimenter decides to compare the means of Groups 2 and 4. He finds that the mean difference is nonsignificant using Scheffe’s method. a. Is he correct that this mean difference cannot be declared significant using Scheffe’s method? (You can assume homogeneity of variance.) b. Is there a better method available for testing this contrast that will maintain aEW at .05, although the contrast was chosen post hoc? If so, can the contrast be declared significant with this method?


 

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