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# Factorial ANOVA

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This week, you have explored how to use factorial ANOVA in research design. You will practice using factorial ANOVA in this Application.

To prepare for this Application:

Review Chapter 13 of the Field text for a description of the factorial analysis of variance and an example of conducting a factorial ANOVA using PASW.
Review Chapter 5 from the APA manual, "Displaying Results."

Review the media resources demonstrating the ANOVA.

Data Files: Sage Publications. (2013). Andy Field's Datasets [Data files]. Available from Discovering Statistics Using IBM SPSS Statistics companion website: http://www.sagepub.com/field4e/study/datasets.htm

The assignment:

Complete factorial analysis of variance in Smart Alex's Task #1 on p. 541, using the Fugazi.sav data set from the Field text. You can follow the steps outlined on pp. 520-525 as a guide.

Report your findings in APA format according to the guidelines in the PASW Application Assignment Guidelines handout. The final document should be 2-3 pages long.

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## Proper usage of the one-way, repeated measures, and factorial ANOVA

Find three research studies of interest to you that provide proper usage of the one-way, repeated measures, and factorial ANOVA.

State the null hypothesis that was tested in each study. Interpret the F statistic for each study and make a determination regarding the null hypothesis (reject or fail to reject). Comment further on interaction or main effects when appropriate.

Lastly, why do researchers utilize an ANOVA of the t-test? Find a set of data that is suitable for an ANOVA and perform both the appropriate ANOVA and the appropriate t-test on the data.

Comment on your statistical findings? Do you agree with your initial statement regarding the preference of an ANOVA over a t-test when examining more than two groups?

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