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QUESTION #1: Jackson, even-numbered Chapter Exercises, pp. 308-310.
#2: What is the difference between randomized ANOVA and repeated measures ANOVA? What       does the term “one-way” mean with respect to an ANOVA?
#4: If a researcher decides to use multiple comparisons in a study with three conditions, what is       the probability of a Type I error across these comparisons? Use the Bonferroni adjustment to       determine the suggested alpha level.
#6: When should post hoc comparisons be performed?
#8: Why is a repeated measures ANOVA statistically more powerful than a randomized       ANOVA?
#10: In a study of the effects of stress on illness, a researcher tallied the number of colds people       contracted during a 6-month period as a function of the amount of stress they reported       during that same period. There were three stress levels: Minimal, moderate, and high stress.         The sums of squares appear in the following ANOVA summary table. The mean for each       condition and the number of subjects per condition are also noted.
Source                           df                     SS                             MS                             F
Between groups                                 22,167
Within groups                                    14,750
Total                                                   36,917
Stress Level                                     Mean                                 N
Minimal                                           3                                      4
Moderate                                         4                                       4
High                                               6                                       4

  • Complete the ANOVA summary Table.
  • Is Fobt significant at o = .05; at o = .01?
  • Perform post hoc comparisons if necessary.
  • What conclusions can be drawn from the F-ratio and the post hoc comparisons?
  • What is the effect size, and what does this mean?
  • Graph the measures.

#12: A researcher conducted an experiment on the effects of a new drug on depression. The researcher had control group that received nothing, a placebo group, and an experimental group that received the drug. A depression inventory that provided a measure of depression on a 50-point scale was used (50 indicates that an individual is very high on the depression variable). The ANOVA summary table appears next, along with the mean depression score for each condition.
Source                           df                    SS                             MS                             F
Between groups                                 1,202.313
Within groups                                     2,118.00
Total                                                   3,320.313
Drug Condition                             Mean                                   N
Control                                         36.26                                     15
Placebo                                         33.33                                    15
“Drug”                                         24.13                                   15
#14: A researcher has been hired by a pizzeria to determine which type of crust customers prefer. The restaurant offers three types of crust: hand tossed, thick, and thin. Following are the mean number of 1-inch pieces of pizza eaten for each condition from the 10 subjects who had the opportunity to eat as many pieces with each type of crust as they desired. The ANOVA summary table are as follows.
Source                           df                     SS                             MS                             F
Subject                                                 2.75
Between                                             180.05
Error                                                    21.65
Total                                                     204.45
Crust Type                                     Mean                                   n
Hand-Tossed                                 2.73                                   10
Thick                                             4.20                                   10
Thin                                               8.50                                   10

  • Complete the ANOVA summary table.
  1. Is Fobt significant at o = .05; at o = .01?
  2. Perform post hoc comparisons if necessary.
  3. What conclusions can be drawn from the F-ratio and the post hoc comparisons?
  4. What is the effect size, and what does this mean?
  5. Graph the means.

QUESTION#2: What is an F-ratio? Define all the technical terms in your answer.
QUESTION#3: What is error variance and how is it calculated?
QUESTION#4: Why would anyone ever want more than two (2) levels of an independent variable?
QUESTION#5: If you were doing a study to see if a treatment causes a significant effect, what would it mean if within groups, variance was higher than between groups variance? If between groups variance was higher than within groups variance? Explain your answer
QUESTION#6: What is the purpose of a post-hoc test with analysis of variance?
QUESTION#7: What is probabilistic equivalence? Why is it important?

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