# ANOVA APPLICATION AND INTERPRETATION

#### Instructions

Complete the following for this assignment:

The grades.sav file is a sample SPSS data set. The data represent a teacher’s recording of student demographics and performance on quizzes and a final exam across three sections of the course. Each section consists of 35 students (N = 105). There are 21 variables in grades.sav.

This weekâ€™s assignment is on ANOVA. You will analyze the following variables in the grades.sav data set:

SPSS VariableDefinition

Section

Class section

Quiz3

Quiz 3: number of correct answers

Step 1: Write Section 1 of the DAA: The Data Analysis Plan

• Name the variables used in this analysis and whether they are categorical or continuous.
• State a research question, null hypothesis, and alternate hypothesis for the analysis of variance (ANOVA).

Step 2: Write Section 2 of the DAA: Testing Assumptions

Test for one of the assumptions of ANOVA â€“ normality.

• Create SPSS output showing the Shapiro-Wilk test of normality. Run the Shapiro-Wilk test on the dependent variable test for the entire sample. Do not split the data up by gender before running the normality test.
• Paste the table in the DAA.
• Interpret the Shapiro-Wilk test and how you determined whether the assumption of normality was met or violated.

Step 3: Write Section 3 of the DAA: Results and Interpretation

• Paste the following SPSS tables into the document:
• Descriptives table
• ANOVA table
• Multiple Comparison table
• Report the means and standard deviations of quiz3 for each group of the section variable.
• Report the results of the F test and interpret the statistical results against the null hypothesis and state whether it is accepted or rejected.
• Finally, if the F is significant, interpret the post-hoc tests (multiple comparisons).

Step 4: Write Section 4 of the DAA: Statistical Conclusions

• Analyze the limitations of the statistical test and/or possible alternative explanations for your results.

Step 5: Write Section 5 of the DAA: Application

Analyze how you might use the ANOVA in your field of study.

• Name an independent variable (the IV should have three or more groups/categories) and dependent variable that would work for such an analysis and why studying it may be important to the field or practice.

Submit your DAA template as an attached Word document in the assignment area.

SCORING GUIDE

Your Work will be evaluated using this criteria.

VIEW SCORING GUIDE

#### Competencies Measured

By successfully completing this assignment, you will demonstrate your proficiency in the following course competencies and assignment criteria:

• Competency 1: Analyze the computation, application, strengths, and limitations of various statistical tests.
• Analyze statistical assumptions.
• Competency 2: Analyze the decision-making process of data analysis.
• Articulate the data analysis plan.
• Competency 3: Apply knowledge of hypothesis testing.
• Interpret statistical results and hypotheses.
• Competency 4: Interpret the results of statistical analyses.
• Explain statistical conclusions, the limitations of the test, and possible alternative explanations.
• Competency 5: Apply a statistical program’s procedure to data.
• Run the analysis and post the findings in the DAA.
• Competency 6: Apply the results of statistical analyses (your own or others) to your field of interest or career.
• Analyze the potential applications of the test in the field and their implications.
• Competency 7: Communicate in a manner that is scholarly, professional, and consistent with the expectations for members in the identified field of study.
• Communicate in a manner that is scholarly, professional, and adheres to APA style and formatting.