Mixed ANOVA Dr. Smokey, the chief educational research officer at Volunteer County School, designed a three-month intervention intended to decrease students’ anxiety related to mathematics. A class of...

Mixed ANOVA - 0ne question-using 2x3 mixed analysis of variance

Mixed ANOVA Dr. Smokey, the chief educational research officer at Volunteer County School, designed a three-month intervention intended to decrease students’ anxiety related to mathematics. A class of sixth graders were assigned to the intervention program. The data given below are from the twelve students participating in the program. The dependent variable is a measure of mathematics anxiety, which higher values representing higher anxiety. Data on students’ mathematics anxiety was collected at the end of each month for a three-month period. Data were also collected on the biological sex of the student. Analyze these data using 2x3 mixed analysis of variance, testing appropriate assumptions, and answer the following questions using an α = .05. Student Sex Time 1 Time 2 Time 3 1 F 10.6 5.9 8.6 2 F 9.7 5.7 5.4 3 F 12.5 8.9 7.9 4 F 9.6 6.8 3.1 5 F 7.3 2.8 5.3 6 F 6.7 4.2 2.3 7 M 1.1 1.3 4.3 8 M 3.2 6.3 5.4 9 M 5.4 4.2 7.3 10 M 0.6 1.2 1.4 11 M 2.4 3.1 2.1 12 M 2.4 3.3 4.4 a. Identify the between-subject and within-subject factors. (1 point) b. List and briefly describe the assumptions underlying this mixed analysis of variance (2 points). c. Do you meet the assumptions you outlined above? How did you come to these conclusions? (4 points) d. Was the program equally effective in reducing anxiety for males and females? If not, how did the effects of the program differ for males and females? (4 points) e. Did males and females differ in levels of anxiety at each time period? (4 point) f. Write-up the results of your analyses in APA-format including a discussion of assumption testing, results of the statistical analysis, and effect size reporting. (10 points)