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1. To test for homogeneity of variance between the groups in a two-way ANOVA, the _____ test is used.

A. Levene's

B. Bonferroni

C. Box's M

D. Duncan

E. None of the above

2. When analyzing the results of the N-way ANOVA, one can say that a statistically significant difference between the means of the categories exists when the:

A. p-value of the computed f-statistic is less than a level chosen

B. computed f-statistic is more than the p-value

C. p-value of the computed f-statistic is more than a level

D. p-value and f-value are the same as a level

E. None of the above

3. The N-way ANOVA is similar to the _____ as it can only tell us whether differences between the mean exist.

A. MANOVA

B. two-way ANOVA

C. one-way ANOVA

D. three-way ANOVA

E. None of the above

Explanation / Answer

1) Homogeneity of variance between the groups can be tested through Levene's test. So option A is correct.

2) When analyzing the results of the N-way ANOVA, one can say that a statistically significant difference between the means of the categories exists when the p-value of the computed f-statistic is less than a level chosen. So option A is correct.

3) The N-way ANOVA is similar to the MANOVA as it can only tell us whether differences between the mean exist. The only difference in MANOVA is the 'M' which stands for Multivariate. In Manova, we have 2 or more than 2 continuous response variables.
So option A is correct.

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