ANOVA
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ANOVAApplicationandInterpretation2.docxRunning head: DATA ANALYSIS AND APPLICATION TEMPLATE 1
1
Data Analysis and Application Template
Learner Name
Capella University
Data Analysis and Application
Data Analysis Plan
|
Variable |
Definition |
|
Section |
Class section |
|
Quiz3 |
Quiz 3: number of correct answers |
· 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.
Testing Assumptions
Using this table:
Assumption Checks
|
Test for Equality of Variances (Levene's) |
|||||||
|
F |
df1 |
df2 |
p |
||||
|
2.898 |
|
2.000 |
|
102.000 |
|
0.060 |
|
|
|
· Interpret the homogeneity test to determine whether the assumption of homogeneity is violated or is not violated.
Results & Interpretation
Using the tables:
Descriptives
|
Descriptives - quiz3 |
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|
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 |
|
|
|
· Report the means and standard deviations of quiz3 for each group of the section variable.
|
ANOVA - quiz3 |
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|
Cases |
Sum of Squares |
df |
Mean Square |
F |
p |
||||||
|
section |
|
47.042 |
|
2 |
|
23.521 |
|
10.951 |
|
< .001 |
|
|
Residuals |
|
219.091 |
|
102 |
|
2.148 |
|
|
|
|
|
|
|
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|
Note. Type III Sum of Squares |
· 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.
Post Hoc Tests
Standard
|
Post Hoc Comparisons - section |
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|
|
|
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 |
· Finally, if the F is significant, interpret the post-hoc tests.
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.
Application
· Name an independent variable (the IV should have three or more groups or categories) and a dependent variable that would work for such an analysis and why studying it may be important to the field or practice.
References
Provide references in proper APA Style if necessary.
