Answered step-by-stepStep 1: Write Section 1 of the DAA: The Data Analysis Plan Name the...
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 - homogeneity.
- Interpret the homogeneity test to determine whether the assumption of homogeneity is violated or is not violated.
Assumption Checks
| Test for Equality of Variances (Levene's) | |||||||
|---|---|---|---|---|---|---|---|
| F | df1 | df2 | p | ||||
| 2.898 | 2.000 | 102.000 | 0.060 | ||||
Step 3: Write Section 3 of the DAA: Results and 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.
Descriptives
| Descriptives - quiz3 | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| section | N | Mean | SD | SE | Coefficient of variation | ||||||
| 1 | 33 | 7.273 | 1.153 | 0.201 | 0.159 | ||||||
| 2 | 39 | 6.333 | 1.611 | 0.258 | 0.254 | ||||||
| 3 | 33 | 7.939 | 1.560 | 0.272 | 0.196 | ||||||
| ANOVA - quiz3 | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Cases | Sum of Squares | df | Mean Square | F | p | ||||||
| section | 47.042 | 2 | 23.521 | 10.951 | < .001 | ||||||
| Residuals | 219.091 | 102 | 2.148 | ||||||||
| Note. Type III Sum of Squares | |||||||||||
Standard
| Post Hoc Comparisons - section | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Mean Difference | SE | t | ptukey | ||||||||
| 1 | 2 | 0.939 | 0.347 | 2.710 | 0.021 | ||||||
| 3 | -0.667 | 0.361 | -1.848 | 0.159 | |||||||
| 2 | 3 | -1.606 | 0.347 | -4.633 | < .001 | ||||||
| Note. P-value adjusted for comparing a family of 3 | |||||||||||
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 test 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
Analyze how you might use the ANOVA in your field of study.
- 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.
Answer & Explanation
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