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1. The one-way ANOVA is a little different from other tests because it uses the

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Question

1. The one-way ANOVA is a little different from other tests because it uses the ratio of different types to test a hypothesis. The _____ variance should be roughly equal for the groups because the ANOVA assumes homogeneity of variance.

A. between-group

B. within-group

C. cohort-group

D. control-group

E. blind-group

2. 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

3. 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

4. When a null hypothesis is false after using the one-way ANOVA, it indicates there is some overlap, but the researcher still does not know exactly which variable is overlapping and by how much. This can lead to a type I error. To avoid this, _____ will decrease the likelihood of an error.

A. a post hoc test

B. a Kruskal-Wallis H-test

C. a chi-square test

D. the f test

E. None of the above

5. 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)

B. within-group

Justification

The objective of ANOVA is to test mean between groups. The variance within-group for each of groups are assumed to be equal. If not, they can confound.

2)

A. Levene's

Justification

Bonferroni is p-value correction

Box-M is to test for Multivariate Normality

Duncan's Multiple Range test (DMRT) is a post hoc test to measure specific differences between pairs of means

3)

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

Justification

p-value will have to less than significant level chosen to conclude means are different

All other statements does not make sense

4)

A. a post hoc test

Justification

post hoc test can be Duncan Tukey

Kruskal-Wallis H-test is test for comparing medians

Chi-square test is to test variance significance

f test is to test ratio of variance

5)

A. MANOVA

Justification

N-way ANOVA and MANOVA mean the same