Quiz Over the 2nd Half of Chapter 13 (pp. 292-310)

Two-Way Analyses of Variance

NOTE: A different quiz covers the 1st half of Chapter 13 (pages 276-292.)

Follow-Up Tests
1. If none of the two-way ANOVA's Fs turns out to be significant, no follow-up tests will be conducted.
2.  True False
3. Follow-up tests can be used to "probe" significant main effects ___ significant interactions.
4.  and but not
Follow-Up Tests to Probe Significant Main Effects
1. In Excerpt 13.9, the significant main effect of vignette required no follow-up investigation because there were only 2 levels of the vignette factor.
2.  True False
3. In Excerpt 13.10, how many Tukey pairwise tests were conducted?
4.  2 4 6 8
5. If post hoc tests are used to probe the significant main effects of a 2x3 ANOVA, how many null hypotheses will be tested in the post hoc investigation?
6.  2 3 5 6
Follow-Up Tests to Probe a Significant Interaction
1. Researchers usually refrain from interpreting the main effect F-ratios if the interaction is significant.
2.  True False
3. In the middle portion of Figure 13.1, which Source(s) would be "ns" if the cell mean of 5 is changed to 35?
4.  The main effect for A The main effect for B The main effects for A and B The AxB interaction The AxB interaction and one of the main effects
5. In a graph of a cell means, the ordinate is usually labeled with the name of
6.  the dependent variable. either of the 2 factors. the levels of one of the 2 factors. the interaction. the sources (from the summary table) that turned out significant.
7. If a statistically significant interaction is graphed, the lines in the graph ___ be parallel.
8.  will won't
9. Comparing cell means that lie in individual rows and/or individual columns is a test of
10.  a main effect. simple main effects. the interaction. simple interactions.
11. In Excerpt 13.11, there would have been less interaction if the High/NC group had ended up with a mean equal to
12.  120 150 210 300 It is impossible to determine
13. If the interaction from Excerpt 13.12 were to be displayed in a graph like that shown in Excerpt 13.11, how many lines would be in the graph?
14.  2 3 6 9
15. In Excerpt 13.12, what kind of means were involved in each Tukey test that was conducted?
16.  cell means main effect means
17. If the follow-up strategy used Excerpt 13.13 had been used in Excerpt 13.12, a total of __ pairwise comparisons would have been made.
18.  9 18 27 36 72
Planned Comparisons
1. In two-way ANOVAs, planned comparisons ___ be done if the interaction is not significant.
2.  can can't
3. In Excerpt 13.14, the planned comparison was _____ in nature.
4.  pairwise nonpairwise
Assumptions Associated With a Two-Way ANOVA
1. The assumptions of a two-way ANOVA are the same as those associated with a one-way ANOVA.
2.  True False
3. Violations of the equal variance assumptions of a two-way ANOVA are more disruptive when the __'s differ.
4.  main effect means cell means sample sizes number of levels in the 2 factors
5. In testing the normality and equal variance assumptions, researchers hope for nonsignificant results.
6.  True False
7. Hartley's F-max test focuses on the ________ assumption.
8.  normality equal variance
9. If the normality or equal variance assumption seems untenable, the researcher can either turn to a different test having fewer assumptions or ____.
10.  change the null hypotheses change the alternative hypotheses transform the data divide the data-based p-level by 2 change the level of significance from .05 to .10
11. The term "____" means that a statistical tests functions as it should even if the assumptions are violated.
12.  untainted robust nonparametric powerful reliable
13. If an F-test turns out larger than it should, it is said to be
14.  positively biased. negatively biased.
Effect Size Indices, Strength of Association Measures, and Power Analyses
1. Two-way ANOVAs ___ yield results that have statistical but no practical significance.
2.  can can't
3. Excerpt 13.18 illustrates the fact that a single index of "practical significance" is computed for any two-way ANOVA, not individual indices for each main effect and the interaction.
4.  True False
5. It's better to do a power analysis ____ the data are collected and analyzed.
6.  before after
7. A strength-of-effect index can be computed for each main effect F and for the interaction F.
8.  True False
9. The two most commonly used strength-of-effect measures are called _____ and _____.
10.  alpha squared; beta squared delta squared; gamma squared eta squared; omega squared iota squared; epsilon squared
11. Most researchers ___ distinguish between statistical and practical significance in 2-way ANOVAs.
12.  do don't
The Inflated Type I Error Rate in Factorial ANOVAs
1. Since a 2-way ANOVA with 1 dependent variable yields 3 F-tests, most researchers divide a by 3.
2.  True False
3. If a researcher sets a equal to .05 when evaluating each of the 3 F-tests, the "______" error rate is equal to .05.
4.  pairwise nonpairwise familywise testwise
5. The chances of a ______ error will be increased if a researcher conducts 2 or more two-way ANOVAs without using the Bonferroni adjustment procedure (or some other procedure) to adjust alpha.
6.  Type I Type II
A Few Warnings Concerning Two-Way ANOVAs
1. If the research questions are not worth investigating, there's a fatal flaw in the study than cannot be salvaged by a two-way ANOVA . . . even if all assumptions are met and all analyses are properly executed.
2.  True False
3. In Excerpt 13.9, the researchers report that "... the participants who read the weight-related teasing vignette reported significantly more negative affect (M = 15.75, SD = 4.99) than did those who read the neutral vignette (M = 13.87, SD = 3.42)." Do the reported SDs suggest the presence of "overlapping distributions"?
4.  Yes No
5. Because a two-way ANOVA is so powerful, its F-tests never lead to either Type I or Type II errors.
6.  True False
7. If the main effect means for one of the factors in a two-way ANOVA turn out to be identical, the null hypothesis associated with that particular factor should be considered to be true (i.e., fully accepted).
8.  True False

NOTE: Questions dealing with the 1st half of Chapter 13 appear in a separate online interactive quiz.