# MIXED FACTORIAL ANOVA

Complete the following:

Step 1. Provide      a context for the data set in the supplied .sav file. Include a      definition of the specified variables, levels of each factor, and the      outcome variable. Define the corresponding scales of measurement for each      variable. Specify the sample size of the data set.
Step 2. Specify      the research questions related to the mixed factorial ANOVA. Articulate      the null hypotheses and alternative hypotheses for Factor A, Factor B, and      the A x B interaction. Specify the alpha level.
Step 3. Analyze      the assumptions of the mixed factorial ANOVA. Paste the SPSS histogram      output for total scores and discuss your visual interpretations. Paste      SPSS descriptive statistics output showing skewness and kurtosis values      for total score and interpret them (that is, values of 0 are perfectly normal;      values between +/- 1 are ideal; values +/- 2 are acceptable; values beyond      +/- 2 are a potential violation). Report the results of the Shapiro–Wilk      test and Levene test and interpret them. Summarize whether or not the      assumptions of the mixed factorial ANOVA are met.
Step 4.

To provide context, begin       by reporting the grand mean on Y, the means of Y for both main effects       (A, B) and the means of the interaction (A*B). You may paste SPSS output       of these descriptive statistics, but you should also report them in the       narrative.
Next, paste SPSS output of       the A*B cell means plot on Y. Designate Factor A on the horizontal axis       and separate lines for Factor B. Provide a visual interpretation of this       graph in terms of possible main effects and an interaction.
Then paste the SPSS output       for the mixed factorial ANOVA. Report the results for both main effects       and the interaction, including F, degrees of freedom, the F value, the p       value, a calculation of effect size, and interpretation of the effect       size (calculate and report simple eta squared; do not use partial eta       squared from SPSS output).
For each factor and the       interaction, also report SPSS calculations of observed power and       interpret them in terms of type II error.
Finally, for each factor       and the interaction, interpret the results against the null hypotheses       articulated in step 2.

Step 5. Discuss      the conclusions of the mixed factorial ANOVA as it relates to the research      questions. Conclude with an analysis of the strengths and limitations of      the mixed factorial ANOVA.

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