ANOVA Application and Interpretation

Assessment 4 ANOVA Application and Interpretation Instructions Complete a data analysis report using ANOVA for assigned variances Introduction 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: Jeffreys's Amazing Statistics Program (JASP). 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.