Homework 5: Factorial ANOVA and ANCOVA
Use the Birth Order data to answer Problems 1 – 5.
Although you are already familiar with this data, let’s put it into some context. Fifty-two participants enrolled in a motivational seminar given by Tony Robbins. Prior to attending the seminar, demographic information was collected on their gender and birth order (relative to other siblings) and they took the Rosenburg Self-Esteem Scale (selfesteem_pretest). They took the Rosenburg Self-Esteem Scale again the day after they attended the seminar (selfesteem_posttest) and one year later (selfesteem_followup).
Problem 1
Use a factorial ANOVA to test the following hypotheses:
There is no difference in posttest self-esteem between males and females (gender).
Birth order has an effect on posttest self-esteem.
Gender moderates the effect of birth order on posttest self-esteem.
If there is an interaction, be sure to test for simple effects instead of reporting the main effects. Also, conduct post hoc tests if there is a main effect or simple main effect for birth order. Report results in APA format.
Problem 2
Use a factorial ANOVA to test the following hypotheses:
There is no difference in self-esteem between males and females.
Self-esteem improves after participants attend the motivational seminar (test all three levels of self-esteem).
Gender moderates the effect of the seminar on self-esteem (again, test all three levels of self-esteem).
If there is an interaction, be sure to test for simple effects instead of reporting the main effects. Also, conduct post hoc tests if there is a main effect or simple main effect for self-esteem over time. Report results in APA format.
Problem 3
Use a one-way ANOVA to compare self-esteem at posttest between the four different birth orders. What is the result? Report the result in APA format and include relevant SPSS output.
Use an ANCOVA to compare self-esteem at posttest between birth orders after controlling for self-esteem at pretest. What is the result? Report the result in APA format and include relevant SPSS output.
What happens to the result when the covariate is included?
Note: Include post hoc tests if necessary.
Problem 4
Use a two-factor ANOVA to compare self-esteem at posttest between birth orders after controlling for gender. What is the result? Report the results in APA format. Include relevant SPSS output.
Note: Include post hoc tests if necessary.
Problem 5
Use G*Power to find the minimum number of participants for each statistical test based on an alpha of p < .05, 80% power, and the effect sizes you estimated above. For parts 1 and 2, don't worry about the simple main effects.
1. Using the effect sizes from Problem 1, what are the sample sizes needed to find significant effects for (a) the main effect for gender, (b) the main effect for birth order, and (c) the interaction between gender and birth order?
2. Using the effect sizes from Problem 2, what are the sample sizes needed to find significant effects for (a) the main effect for gender, (b) the main effect for time of observation, and (c) the interaction between gender and time?
3. Using the effect sizes from Problem 3.2, what is the sample size needed to find a significant effect for birth order after accounting for pretest?
Rubric
Homework 5 (summer B)
Homework 5 (summer B)
Criteria Ratings Pts
This criterion is linked to a Learning Outcome1a. SPSS output indicates that the procedures were run correctly.
Statistical procedures should be run for factorial ANOVA and tests of simple main effects and post hoc tests as necessary.
5.0 pts
This criterion is linked to a Learning Outcome1b. Provides conclusions and supporting statistics for each effect in APA format.
Be sure to address all three effects.
6.0 pts
This criterion is linked to a Learning Outcome2a. SPSS output indicates that the procedures were run correctly.
Statistical procedures should be run for factorial ANOVA and tests of simple main effects and post hoc tests as necessary.
5.0 pts
This criterion is linked to a Learning Outcome2b. Provides conclusions and supporting statistics for each effect in APA format.
Be sure to address all three effects.
6.0 pts
This criterion is linked to a Learning Outcome3.1.a. SPSS output indicates that the procedures were run correctly for one-way ANOVA
3.0 pts
This criterion is linked to a Learning Outcome3.1.b. Provides a conclusion and supporting statistics in APA format. This needs to include whether there is a difference between groups and (if there is) how those groups are different. Supporting statistics should include F, df, and p for ANOVA and means, standard deviations, and p values for post hoc tests (if necessary).
2.0 pts
This criterion is linked to a Learning Outcome3.2.a. SPSS output indicates that the procedures were run correctly for ANCOVA.
4.0 pts
This criterion is linked to a Learning Outcome3.2.b. Provides a conclusion and supporting statistics in APA format.
2.0 pts
This criterion is linked to a Learning Outcome3.3. Compares the results of birth order between 2.1 and 2.2.
2.0 pts
This criterion is linked to a Learning Outcome4.a. SPSS output indicates that the procedures were run correctly for two-factor ANOVA.
4.0 pts
This criterion is linked to a Learning Outcome4.b. Provides a conclusion and supporting statistics in APA format.
2.0 pts
This criterion is linked to a Learning Outcome5a. Provides minimum sample size for each effect tested in Problem 1.
Include sample sizes for the interaction and main effects for gender and birth order.
3.0 pts
This criterion is linked to a Learning Outcome5b. Provides minimum sample size for each effect tested in Problem 2.
Include sample sizes for the interaction and main effects for gender and time.
3.0 pts
This criterion is linked to a Learning Outcome5c. Provides minimum sample size for effect tested in Problem 3.2.
Include sample size after accounting for the covariate.
3.0 pts
This criterion is linked to a Learning OutcomeDeductions: late or shared assignments
0.0 pts
Total Points: 50.0
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