# Data Analysis and Application

## Data Analysis and Application

In this assignment, you will use IBM SPSS to conduct a two-way factorial ANOVA. Use the data file caffeineexercisehr.sav  in the Resources. Refer to page 544 of your Warner text for context of  this imaginary study. Use the Data Analysis and Application (DAA)  Template in the Resources to write up your assignment. Do not consider  this template to be the final word on writing your paper or APA style  and formatting. Be sure to consult the Capella Graduate Online Writing  Center link provided in the resources.

Step 1. Write Section 1 of the DAA. Provide context  for the caffeineexercisehr.sav data set. Include a definition of the  specified variables, including factors, 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. Write Section 2 of the DAA. Analyze the  assumptions of the factorial ANOVA. Paste the SPSS histogram output for  heart rate and discuss your visual interpretations. Paste SPSS  descriptives output showing skewness and kurtosis values for heart rate  and interpret them (i.e., 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 Levene test and  interpret it. Summarize whether or not the assumptions of the factorial  ANOVA are met.

Step 3. Write Section 3 of the DAA. Specify a  research question related to the factorial ANOVA. Articulate the null  hypothesis and alternative hypothesis for Factor A, Factor B, and the A x interaction. Specify the alpha level.

Step 4. Write Section 4 of the DAA.

• 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 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 Section 3.

Step 5. Write Section 5 of the DAA. Discuss the  conclusions of the factorial ANOVA as it relates to the research  question. Conclude with an analysis of the strengths and limitations of  one-way ANOVA. Share: