Quiz (Chapter 14, Second Part)


Mixed ANOVAs

Introduction

  1. How many between-subjects factors are there in a mixed ANOVA? How many within-subjects factors?
  2. The 3 most popular kinds of mixed ANOVAs involve either __ (how many?) or __ (how many?) factors.

Two-Way Mixed ANOVAs
  1. A 2x3 mixed ANOVA would have how many within-subjects factors?
  2. (T/F) The label "2-way repeated measures ANOVA" may or may not be referring to a 2-way mixed ANOVA.
  3. If Figure 17.1 is modified to fit the study described in Excerpt 17.2, how many main rows would there be?
  4. (T/F) A 2-way mixed ANOVA, a fully between-subjects 2-way ANOVA, and a fully within-subjects 2-way ANOVA all have the same basic purpose and usually involve three null hypotheses.
  5. How many main effects means were there for Group in the 2-way mixed ANOVA discussed in Excerpt 17.5?
  6. In the study that provided Excerpt 17.3, __ (how many?) research questions were concerned with interaction.
  7. If, in Excerpt 17.7, the upper right-hand cell had been larger, the main effect means for "Emotional Response" would have turned out ____ (closer together/further apart).
  8. The "top" and "bottom" sections in a mixed ANOVA's summary table are often labeled with what terms?
  9. If an ANOVA summary table is built for Excerpt 17.2, which section--top or bottom--will contain the main effect for Task? What about the main effect for Condition? What about the Task-by-Condition interaction?
  10. The number of subjects supplying data for a mixed ANOVA can be determined by adding 1 to which of the dfs?
  11. If 20 patients had been involved in the study described in Excerpt 17.1, how many df would be on the ANOVA summary table's rows called Treatment Intensity, Error (Between), Time, and Treatment Intensity x Time?
  12. In Excerpt 17.8, how many means were focused upon by the F for Feedback Condition? The F for Trial Block?
  13. (T/F) Even if significant, the main effect Fs in Excerpt 17.6 would not be "probed" via any post hoc tests.
  14. In Table 1 of Excerpt 17.10, the summary for one of the 8 post hoc investigations doesn't match the authors' textual summary of that same post hoc investigation. This discepancy exists relative to which comparisons?
  15. (T/F) In Excerpt 17.11, each of the 3 columns labeled MS should have been labeled SS instead.
  16. In Excerpt 17.12, how many times was a "test of simple main effects" conducted to probe the interaction?
  17. Which of the F-tests of a 2-way mixed ANOVA are positively biased if the sphericity assumption is violated?
  18. Can a 2-way mixed ANOVA yield results that are significant statistically but not in a practical sense?

Three-Way Mixed ANOVAs
  1. (T/F) A 3-way mixed ANOVA will always have repeated measures on two of the three factors.
  2. A standard 3-way mixed ANOVA has __ null hypotheses, __ for main effects and __ for interactions.
  3. How many scores will each subject contribute to a split-plot factorial 3.23?
    1. 3
    2. 5
    3. 6
    4. 23
    5. 323
  4. In Excerpt 17.23, the mean of 12.13 and which other mean(s) was/were based on scores from the same students?
  5. In Excerpt 17.24, there would be __ main effect means for Stimulus, each based on __ raw scores.
  6. In a summary table for Excerpt 17.20, the Ages row will be in the table's ____ (upper/lower) section. What about the Phases row? What about the Hand Condition x Age row? What about the Age x Phase row?
  7. How many different denominators (i.e., Error MSs) are used to form the Fs in a 3-way mixed ANOVA with repeated measures on 1 of the 3 factors? How many are used if there are repeated measures on 2 factors?
  8. The text portion of Excerpt 17.27 ends with the words "there were no other interactions." How many "other interactions" were there? And what additional word should have been inserted after "other"?
  9. In Excerpt 17.27, how many post hoc null hypotheses were set up and evaluated when the Newman-Keuls procedure was used to "probe' the significant interaction shown in Figure 2?
  10. What do most authors do relative to the important sphericity assumption that underlies 3-way mixed ANOVAs?
    1. Test the sphericity assumption
    2. Reduce the dfs of critical values
    3. Neither a nor b
  11. Three-way mixed ANOVAs ___ (do/don't) involve an assumption of equal population variances.
  12. (T/F) Cohen recommends that effect size fs of .10, .25. and .40 be considered small, medium, and large.
  13. In Excerpt 17.30, the effect of the success/failure condition was ____ (small/medium/large) in light of the eta-squared value computed for this significant main effect.
  14. Planned comparisons ___ (can/cannot) be used in conjunction with 2-way and 3-way mixed ANOVAs.

A Final Comment
  1. In Excerpt 17.32, what is/are the dependent variable(s)?
  2. If the results of Excerpt 17.33's ANOVA were to be presented in a summary table, how many Fs would appear in the upper portion of the summary table?
  3. If the results of Excerpt 17.34's ANOVA were to be presented in a summary table, how many Fs would appear in the upper portion of the summary table?


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