Complete a data analysis report using ANOVA for assigned variables.
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Introduction
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
For this assessment:
- Use the Data Analysis and Application template (DAA Template [DOCX]).
- For help with the statistical software, refer to the JASP Step-by-Step: ANOVA [PDF]document.
- View JASP Speedrun: ANOVA [Video] for a brief tutorial video on this assessment.
- Refer to the 7864 Course Study Guide [PDF] for information on analyses and interpretation.
- For information on the data set, refer to the 7864 Data Set Instructions [PDF]document.
The grades.jasp file is a sample 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.
This assessment is on ANOVA. You will analyze the following variables in the grades.jaspdata set:
Variables and Definitions
| Variable | Definition |
|---|---|
| Section | Class section |
| Quiz3 | Quiz 3: number of correct answers |
Step 1: Write Section 1 of the DAA: 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 ANOVA.
Step 2: Write Section 2 of the DAA: Testing Assumptions
Test for one of the assumptions of ANOVA – homogeneity.
- Create statistical software output showing the Levene's Test for Equality of Variances.
- Paste the table in the DAA template.
- Interpret the homogeneity test to determine whether the assumption of homogeneity is violated or is not violated.
Step 3: Write Section 3 of the DAA: Results & Interpretation
- If the homogeneity assumption is not violated (Section 2), run the “Homogeneity corrections: None” version of the ANOVA. Follow up with the “Standard” version of the Tukey post hoc test.
- However, if the homogeneity assumption is violated (Section 2), run the “Homogeneity corrections: Welch” version of the ANOVA. Follow up with the “Games-Howell” version of the Tukey post hoc test.
Paste the following statistical software tables into the document:
- Descriptives table.
- ANOVA table.
- Post Hoc Tests table (Tukey correction).
Below the output:
- 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; state whether the null hypothesis is rejected or not rejected.
- Finally, if the F is significant, interpret the post-hoc tests.
Step 4: Write Section 4 of the DAA: Statistical Conclusions
- Provide a brief summary of your analysis and the conclusions drawn about this ANOVA.
- Analyze the limitations of the statistical test and/or possible alternative explanations for your results.
Step 5: Write Section 5 of the DAA: Application
- Name an independent variable (the IV should have three or more groups or 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 assessment area.