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Pages:
2 pages/β‰ˆ550 words
Sources:
No Sources
Style:
APA
Subject:
Mathematics & Economics
Type:
Statistics Project
Language:
English (U.S.)
Document:
MS Word
Date:
Total cost:
$ 10.37
Topic:

Data Analysis and Application

Statistics Project Instructions:

For this assignment:
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 assignment.
View Deeper Dive ANOVA [Video] for a longer video on how to interpret the statistical software output.
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 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 data file is used in all four papers (Week 2, Week 4, Week 6, and Week 8).
This week’s assignment is on ANOVA. You will analyze the following variables in the statistical software data set:
Variable Definition
Section Class section
Quiz3 Quiz 3: number of correct answers

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.
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 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.
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.
If necessary, the 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 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.
Submit your DAA template as an attached Word document in the assignment area.

Statistics Project Sample Content Preview:

Data Analysis and Application
Learner Name
Capella University
Data Analysis and Application
Data Analysis Plan
This project's main objective was to conduct a one-way ANOVA to establish whether significant differences existed in the average score of Quiz 3 across different sections of the course. The variables used were:
1 Independent variable = Section (1,2,3) – A categorical variable measured on a nominal scale.
2 Dependent variable = Quiz3: number of correct answers – A continuous variable.
Research question: Is there a significant difference in the average correct answers on Quiz 3 across sections 1, 2 and 3?
Null Hypotheses: Sections 1, 2 and 3 will not significantly differ in the mean number of correct answers for Quiz 3.
Alternative Hypothesis: At least one class section will significantly differ in mean Quiz 3 scores from the others.
Testing Assumptions
Assumption Checks
Test for Equality of Variances (Levene's)

F

df1

df2

p

2.898


2.000


102.000


0.060



Levene's F (2,102) = 2.898, p = .060; do not reject the null hypothesis since p >.05. The homogeneity assumption is not violated.
Results & Interpretation
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



The average correct scores on Quiz 3 were found for each section. On average, the number of correct answers on quiz 3 for Section 1 were (M = 7.27, SD = 1.15), Section 2 (M = 6.33, SD = 1.61) and Section 3 (M = 7.94, SD = 1.56).
ANOVA - quiz3

Cases

Sum of Squares

df

Mean Square

F

p

section


47.042
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