Quiz (Chapter 14)


Analysis of Variance with Repeated Measures

Introduction

  1. In a 2x4 fully repeated measures ANOVA, a subject contributes __ (how many?) scores to the analysis.
  2. (T/F) In any fully repeated measures ANOVA, all of the factors will be within-subjects in nature.
  3. If a factor's levels are called "Pre" & "Post," this factor probably __ (is/isn't) a within-subjects factor.

One-Way Repeated Measures ANOVAs
  1. (T/F) The null hypothesis for a one-way within-subjects ANOVA looks exactly like the null hypothesis for a one-way between-sujects ANOVA
  2. A two-dimensional matrix like that shown in Figure 14.1 usually ___ (is/isn't) included in the technical research report.
  3. If there had been 20 people in the study depicted in Figure 14.1 (rather than just 6 people), the df number in Table 14.1 on the row called "Residual" would be equal to __.
  4. If the F of a one-way repeated measures ANOVA is significant, and if there are 3 or more levels of the factor, post hoc tests ___ (can/can't) be performed.
  5. (T/F) If the factor's levels are "treatments," it is important that the treatments be presented in the same order.
  6. A "______ effect" exists if one treatment, once received, influences the impact of the next treatment.
  7. If the sphericity assumption is violated, the F-test will turn out to be _____ (larger/smaller) than it should.
  8. The test procedure that's sometimes used to check on the sphericity assumption is called "_____'s test."
  9. If the sphericity assumption seems untenable, one option open to the researcher is to use a critical value based on smaller df values. When this is done, the researcher is said to be using the "___-___ correction."

Two-Way Repeated Measures ANOVAs
  1. A 2-way repeated measures ANOVA has __ null hypotheses, __ of which deal(s) with main effects.
  2. If 20 people provide data for a 2x3 repeated measures ANOVA, each person will be measured __ times.
  3. (T/F) If there had been twice as many (i.e., 12 rather than 6) players involved in the "Simon Study" shown in the top portion of Figure 14.2, this would not have changed the number of means shown in the lower portion of that Figure.
  4. A full summary table for a 2-way repeated measures ANOVA has __ rows of information and __ F values.
  5. If you add 1 to the Total df in the summary table for a 2-way repeated measures ANOVA, what do you get?
  6. In a 2-way repeated measures ANOVA, how many MS values serve as the denominator when forming Fs?
  7. In Excerpt 14.15, how many pairwise null hypotheses were set up and tested?
  8. (T/F) In the study that provided Excerpt 14.16, the order of the "walking rate" conditions was randomized.
  9. (T/F) Because the sample sizes are equal, a 2-way repeated measures ANOVA is robust to the sphericity assumption.
  10. Which lower-case Greek letter represents the numerical estimate of how badly the sphericity assumption is violated?
  11. Which of the numbers in Excerpt 14.18 speaks to the issue of practical significance versus statistical significance?
    1. .01
    2. .78
    3. 261.82
    4. 92,908.53

Two-Way Mixed ANOVAs
  1. A 2x3 mixed ANOVA has how many within-subjects factors?
  2. If Figure 14.3 is modified to fit the study summarized in Excerpt 14.24, how many rows would there be for participants?
  3. (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.
  4. How many main effects means were there for Sentence Type in the 2-way mixed ANOVA discussed in Excerpt 14.28?
  5. In the study that provided Excerpt 14.25, how many research questions were concerned with interaction?
  6. If, in the diagram on page 368, the upper right-hand cell mean had been smaller, the main effect means for "Gender" would have turned out ____ (closer together/farther apart).
  7. The "top" and "bottom" sections in a mixed ANOVA's summary table are often labeled with what two terms?
  8. If an ANOVA summary table is built for Excerpt 14.27, the main effect forTreatment Group will appear in the _____ (top/bottom) section of the summary table.
  9. The number of participants supplying data for a mixed ANOVA can be determined by adding 1 to the df for which source?
  10. If 30 children had been involved in the study described in Excerpt 14.24, how many df would be on the ANOVA summary table's row called Error (Within)?
  11. (T/F) In Excerpt 14.27, each main effect F focused on 3 means.
  12. (T/F) Even though it was significant, the main effect F for Context in Excerpt 14.23 would not be "probed" via any post hoc tests.
  13. (T/F) A post hoc investigation can focus only on the main effect means of a two-way mixed ANOVA.
  14. If we double the number of paricipants in a two-way mixed ANOVA, which of the main effect dfs will change?
    1. The df for the between-subjects main effect
    2. The df for the within-subjects main effect
    3. The dfs for both main effects
    4. The df for neither main effect
  15. If we double the number of paricipants in a two-way mixed ANOVA, which of the error term dfs will change?
    1. The df for the between-subjects error term
    2. The df for the within-subjects error term
    3. The dfs for both error terms
    4. The df for neither error term
  16. How many of the F-tests of a 2-way mixed ANOVA are positively biased if the sphericity assumption is violated?
  17. (Yes/No) Can a 2-way mixed ANOVA yield results that are significant statistically but are not significant in a practical sense?

Three Final Comments
  1. If a researcher says that he/she used a "two way repeated measures ANOVA," you ____ (can/can't) be confident that there were repeated measures on both factors.
  2. The nine-step version of hypothesis testing ___ (can/can't) help the researcher avoid the possible problem of ending up with statistical significance without practical significance.
  3. (T/F) The use of within-subjects factors in an ANOVA eliminates the possibility of inferential error.


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