Leeds Metropolitan University Variations of the Factorial Design Questions

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After reading the lecture and the textbook chapter, you must attempt to answer all the questions in the discussion to have full score. Your discussions should be on new ideas, where you have differences between each other’s answers, and why, etc. Having a wrong answer is not wrong, as long as you try to find the answer. A discussion is for learning from each other purpose.

Discussion Questions

1) In conducting a factorial ANOVA, provide the checklist of steps to be taken.

2) What does the null hypothesis in a factorial ANOVA state?

3) What is the F Ratio and what is it based on?

4) Answer True (T) or False (F) on the following statements. If it is false, identify why it is false.

_____ The F ratio is based on mean differences.

_____ Post hoc tests are also known as single comparisons, enabling the researcher to compare individual treatments one at a time.

_____ Research designs in two-way ANOVA that include more than one factor are called factorial designs.

_____Generally speaking, analysis of variance is robust to violations of the normality assumption, especially when the sample size is relatively small, and should not be cause for substantial concern.

_____ The purpose of a factorial ANOVA is to determine the individual difference of one factor.

5) Identify at least two variations of the factorial design and define them.

6) What are the assumptions of Factorial ANOVA and what tests are done for each assumption?

7) What does it mean if the Interaction Effect has a p value of .05 or less? What does p mean?

8) What are the advantages and reasons for conducting Factorial ANOVA?

9) As we learned in the last chapter, we must make sure that our data fulfils the specific assumptions of the specific statistical test to be done. What are the assumptions of Factorial ANOVA, and what tests are done for each assumption? What about normality in regard to ANOVA?

10) When we talk about ‘Main Effect’, it could be Fixed-effect, Random-effect, or Mixed-effect. What are they?

11) On pgs. 78 and 79, there are some SPSS output tables (Fig 4.7, 4.8, & 4.9). What are the critical values that we have to have to accept SPSS values as valid for the following: Levene’s Test, Effect Size (eta squared), Significance, and Multiple Comparison (Post-hoc test).

12) Use SPSS file HSB500_1.sav in CANVAS Files folder. Conduct a factorial ANOVA and write up the results with ANOVA table included (APA format). We want to know whether there is significant difference in MATHACH (Math achievement) caused by VISUAL (visualization test), FAEDNEW (Father’s Education-New), or/and SEX. HSB500_1.SAVPreview the document

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