Complete a data analysis report using ANOVA for assigned variables.
Collapse AllIntroduction
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.jasp data 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.
Software
The following statistical analysis software is required to complete your assessments in this course:
Refer to the Tools and Software: JASP page on Campus for general information. Make sure that your statistical software is downloaded, installed, and running properly on your computer.
Competencies Measured
By successfully completing this assessment, you will demonstrate your proficiency in the course competencies through the following assessment scoring guide 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/or possible alternative explanations.
- 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 and professional, and adheres to APA style and formatting.
Scoring Guide
Use the scoring guide to understand how your assessment will be evaluated.
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Criterion 1
Articulate the data analysis plan.Distinguished
Accurately articulates the data analysis plan. Ensures the plan is well justified, logical, and thorough.
Proficient
Accurately and logically articulates the data analysis plan.
Basic
Insufficiently articulates the data analysis plan and/or the plan contain some errors of logic and/or application.
Non Performance
Does not articulate the data analysis plan.
Criterion 2
Analyze statistical assumptions.
Distinguished
Accurately analyzes and thoroughly evaluates and assesses statistical assumptions.
Proficient
Accurately analyzes and explains statistical assumptions.
Basic
Incorrectly analyzes statistical assumptions and/or the analysis contains some errors of logic and/or application.
Non Performance
Does not analyze statistical assumptions.
Criterion 3
Interpret statistical results and hypotheses.
Distinguished
Accurately interprets statistical results and hypotheses, and ensures the statistical results are thoroughly evaluated and assessed.
Proficient
Accurately interprets statistical results and hypotheses.
Basic
Incorrectly interprets statistical results and hypotheses and/or the interpretation contains some errors of logic and/or application.
Non Performance
Does not interpret statistical results and hypotheses.
Criterion 4
Explain statistical conclusions, the limitations of the test, and/or possible alternative explanations.
Distinguished
Ensures the statistical conclusions, the limitations of the test, and/or possible alternative explanations are logical and thoroughly evaluated.
Proficient
Logically and accurately explains statistical conclusions, the limitations of the test, and/or possible alternative explanations.
Basic
Insufficiently explains statistical conclusions, the limitations of the test, and/or possible alternative explanations and/or the explanation contains some errors of logic and/or application.
Non Performance
Does not explain statistical conclusions, the limitations of the test, and/or possible alternative explanations.
Criterion 5
Analyze the potential applications of the test in the field and their implications.
Distinguished
Thoroughly evaluates potential applications of the test in the field and their implications.
Proficient
Analyzes the potential applications of the test in the field and their implications.
Basic
Incorrectly analyzes potential applications of the test in the field and their implications. The applications and implications are not well discussed or contain some errors in logic.
Non Performance
Does not analyze the potential applications of the test in the field and their implications.
Criterion 6
Communicate in a manner that is scholarly, professional, and adheres to APA style and formatting.
Distinguished
Exhibits strict and nearly flawless adherence to organizational, professional, and scholarly writing standards, including APA style and formatting.
Proficient
Communicates in a manner that is scholarly and professional and adheres to APA style and formatting.
Basic
Inconsistently communicates in a manner that is somewhat scholarly and professional and adheres to APA style and formatting.
Non Performance
Does not communicate in a manner that is scholarly or professional or adhere to APA style and formatting.