Homework Sourse1 How does omegasquared for the oneway betweensubjects ANOVA
1. How does omega-squared for the one-way between-subjects ANOVA correct for the fact that eta-squared tends to be a biased estimate of effect size?
a. It corrects for the size of error by including MSE in the formula.
b. It includes the degrees of freedom between groups (dfBG ) in the formula.
c. It accounts for the number of groups that were observed.
d. all of the above
2. A researcher computes the following one-way between-subjects ANOVA table for a study where k = 3 and n = 12. State the decision at a .05 level of significance. (Hint: Complete the table first.)
Source of Variation
SS
df
MS
F
Between groups
120
Within groups (error)
Total
780
a. Reject the null hypothesis.
b. Retain the null hypothesis.
c.There is not enough information to answer this question.
3. What is the minimum number of groups that can be observed using the one-way between-subjects ANOVA design?
1
2
3
4
4. Homogeneity of variance is an assumption for the one-way between-subjects ANOVA. What does this assumption mean?
a. that the population being sampled from is normally distributed
b. that participants are randomly selected to participate in a sample
c. that the variance is equal in each population from which samples are selected
d. that one observation has no effect on the likelihood of another observation
5. A researcher computes a one-way within-subjects ANOVA in which k = 4 and n = 20. What are the degrees of freedom error for this test?
a. 57
b. 79
c. 80
d. There is not enough information to answer this question.
6. Which source of variation is computed using a one-way within-subjects ANOVA, but not a one-way between-subjects ANOVA?
a. between-groups variation
b. within-groups variation
c. between-persons variation
d. error variation
7. When the variability attributed to between-groups is equal to the variability attributed to error, then the value of the test statistic for a one-way between-subjects ANOVA is,
a. Equal to 0.
b. Equal to 1.
c. Significant at any sample size.
d. Undefined in that the test statistic cannot be computed in this case.
8. A researcher measures differences in recall between male and female participants following a romantic movie clip. If different participants were in each group, then what type of statistical design is appropriate for this study?
a. a two-independent sample t test
b. a one-way between-subjects ANOVA
c. a two-way between-subjects ANOVA
d. both A and B
9. A researcher conducts two studies on the effectiveness of a peer mentoring program. Self-evaluation ratings among participants before, during, and after the program were measured in both studies. In Study 1, 12 participants were observed, and in Study 2, 16 participants were observed. IfFobt = 3.42 in both studies, then in which study will the decision be to reject the null hypothesis at a .05 level of significance?
a. Study 1
b. Study 2
c. both
d. none
| a. It corrects for the size of error by including MSE in the formula. | ||
| b. It includes the degrees of freedom between groups (dfBG ) in the formula. | ||
| c. It accounts for the number of groups that were observed. | ||
| d. all of the above |
Solution
1)
d. all of the above
3)
2
4)
a. that the population being sampled from is normally distributed
5) a. 57
6)
a. between-groups variation
7)
c. Significant at any sample size.
8)
d. both A and B
9)
c. both
| d. all of the above |
