Stats II Tutoring

EDR-8202: Statistics II

Week 5 Assignment Worksheet:

Analyze Effects among Multiple Variables

This week, you will complete three exercises related to factorial ANOVA, ANCOVA, and MANOVA.

For this week’s assignment, you will download the data set divorce-studentversion.sav from this week’s resources. Review both the Data View and the Variable View to obtain a general understanding of the data.

Factorial ANOVA

In this study, the researcher is interested in studying life satisfaction as the dependent variable. In a factorial ANOVA, the researcher will ask questions related to differences among fixed groups. In this data set, the variables (factors) of interest are life satisfaction, current family income, and sex. Based on experience and knowledge of the literature, the researcher wants to measure the effects of sex and different income levels on life satisfaction. In all of the analyses conducted in this assignment, be sure to select the option providing a measure of effect size (Eta) and the homogeneity test (Levene’s test).

Using scholarly writing and proper APA format, please answer the following:

1. What are the assumptions of the factorial ANOVA?

2. What is the effect size measure in ANOVA’s?

3. Using General Linear Model/univariate, conduct the analysis used to assess the differences among, sex and income levels on life satisfaction.

4. Then, conduct the Tukey HSD post hoc comparison test. (As you can see from the post hoc window, there is a large array of post hoc tests available; as you read the literature in your specialization, see if there is a preferred post hoc test. If in your research you need to conduct a post hoc test, the selected test might be influenced by the literature in your area. Tukey is used here to make it consistent among the students).

5. What are the null and alternative hypotheses? Remember to include the hypothesis related to the interaction effect.

6. Present a table that shows the results of a two-way ANOVA based on both current family income and sex, including Eta.

7. Provide the results of the analysis in APA style (don’t discuss the results here, only write them using the APA guidelines).

8. Discuss the results, in your discussion please discuss the Levene’s test assumption and if the assumption was met or violated. In addition, include a discussion of the effect size measure.

9. Offer a conclusion related to the hypothesis.

10. Discuss the information the researcher gained after conducting Tukey post hoc test.

ANCOVA

This assignment will focus once again on life satisfaction and current family income. Based on a recent review of the literature, the researcher now has reason to believe the number of children is a possible confounding variable in the relationship between life satisfaction and current family income. Since the number of children is part of this data set, the researcher can use number of children (childneg) as a covariant in an ANCOVA and mediate its impact as a possible confounding variable. In all of the analyses conducted in this assignment, be sure to select the option providing a measure of effect size (Eta) and the homogeneity test (Levene’s test).

Using scholarly writing and proper APA format, complete, and then submit the following:

1. Using the General Linear Model/univariate, conduct an ANCOVA to analyze the influence of current family income on life satisfaction with number of children as a co-variant.

2. Present one table showing the results of the ANCOVA based on current family income on life satisfaction with number of children (childneg) as a co-variant, including Eta.

3. Please provide the results of the analysis in APA style (don’t discuss the results here, only write them using the APA guidelines).

4. Discuss the results, in your discussion please discuss the Levene’s test assumption and if the assumption was met or violated. In addition, include a discussion of the effect size measure.

5. Include an appendix that contains all SPSS output (copied and pasted) for the items above.

MANOVA

Based on a recent review of the literature, the researcher now has reason to believe family income also influences positive attitude, in addition to life satisfaction. Therefore, the researcher will need to conduct a Multivariate Analysis of Variance (MANOVA), to determine if income influence these two variables.

The researcher is interested in learning how current family income influences maintaining a positive attitude and life satisfaction.

Using scholarly writing and proper APA format, please complete, and then submit the following:

1. Please discuss the homogeneity of covariances matrices.

2. Using General Linear Model/multivariate, conduct a MANOVA to analyze the influence of current family income on maintaining a positive attitude and life satisfaction.

3. Present one table showing the results of the MANOVA based on current family income on life satisfaction and maintaining positive attitudes (amain2), including Eta.

4. Please provide the results of the analysis in APA style (don’t discuss the results here, only write them using the APA guidelines).

5. Discuss the results, in your discussion please discuss the Box test for equality of variance matrices and if the assumption was met or violated. In addition, include a discussion of the effect size measure.

6. Include an appendix that contains all SPSS output (copied and pasted) for the items above.