# ANOVA Application and Interpretation Essay

Complete an SPSS data analysis report using ANOVA for assigned variables.

You’re starting to learn some important information about your data, but you still want to know more. It’s time for a one-way analysis of variance (ANOVA). Unlike t-tests, which only allow for comparisons of two groups, ANOVA will allow you to examine potential group differences for variables with multiple levels.

#### Instructions

Complete this assessment using the Data Analysis and Application Template [DOC] (also known as the DAA Template).

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 assessment is on ANOVA. You will analyze the following variables in the grades.sav data set:

SPSS Variables and DefinitionsSPSS VariableDefinitionSectionClass sectionQuiz3Quiz 3: number of correct answers

##### Step 1: The Data Analysis Plan

In Step 1:

• 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 ANOVA.
##### Step 2: Testing Assumptions

Test for one of the assumptions of ANOVA—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: Results and Interpretation

In Step 3:

• 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.
• Interpret the post-hoc tests (multiple comparisons), if the F is significant.
##### Step 4: Statistical Conclusions

In Step 4:

• Analyze the limitations of the statistical test and/or possible alternative explanations for your results.
##### Step 5: Application

In Step 5:

• Analyze how you might use the ANOVA in your field of study.
• Name an independent variable (IV) (the IV should have three or more groups or categories) and dependent variable (DV) 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 assessment area.

#### Software

The following statistical analysis software is required to complete your assessments in this course:

• IBM SPSS Statistics Standard or Premium GradPack, version 24 or higher, for PC or Mac.