You are the director of Institutional Research at a small state university and y

Question

You are the director of Institutional Research at a small state university and you have been given the task of gathering information for the dean of the School of Education regarding the performance of their undergraduate students on the Graduate Record Exam (GRE). Data on six variables were collected: gender, overall grade point average (GPA), major GPA, GRE scores in major area, GRE quantitative, GRE verbal, and type of preparation programs. The university is dedicated to maximize student success on the GRE. The university has established five different options for students to prepare for the GREs: option 1 = completely online asynchronous prep course, 2 = completely online synchronous prep course, 3 = complete a hybrid prep course with a combination of online and face to face; 4 = complete a traditional instructor led prep course, and 5 = self-paced paper based prep course.

Should I use ANOVA or paired T test or both for this analysis?

Explanation / Answer

You should use ANOVA one factor initially to check the difference between the 4 treatments mentioned above.

Then if the null hypothesis of no difference is rejected, use paired t test to check for the pair in which the difference exists (also known as Tukey's HSD)

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