For each of the following write your answer, either increases, decreases, stays

Question

For each of the following write your answer, either increases, decreases, stays the same, or not enough information to tell to the right of each column. Assume everything else in the situation stays the same. Each question is independent of other questions.

7a. (2 pts) As Fobt increases, what happens to the p value of the Fobt?

7b. (2 pts) As SW2 decreases, what happens to the likelihood of finding differences between group means?

7c. (2 pts) In a one-way ANOVA, what happens to Fobt if SB2 increases and SW2 increases?

7d. (2 pts) In a one-way ANOVA, what happens to Fobt if the mean of the group with the highest mean becomes even higher?

7e. (2 pts) In a experiment with 3 or more groups, what happens to the power of each pairwise comparison when the Scheffé test is used instead of a planned comparison such as a t-test?

7f. (2 pts) What happens to the power of the F test when the total number of participants in a one-way ANOVA increases, but the number of groups remains the same, and subjects remain evenly split across groups?

Explanation / Answer

a. As Fobt increases, what happens to the p value of the Fobt? Decreases

b. As SW2 decreases, what happens to the likelihood of finding differences between group means? Increases

c. In a one-way ANOVA, what happens to Fobt if SB2 increases and SW2 increases? Decreases

d. In a one-way ANOVA, what happens to Fobt if the mean of the group with the highest mean becomes even higher? Increases

f. What happens to the power of the F test when the total number of participants in a one-way ANOVA increases, but the number of groups remains the same, and subjects remain evenly split across groups? Stays the same.

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