I have a set of sample data for the following scenario already entered into SPSS

Question

I have a set of sample data for the following scenario already entered into SPSS:

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.

The dean has simply asked you, “Tell me what works best and for whom?” You decide to establish a pilot study with 50 randomly selected general science education seniors to determine the details of the methodology as well as to provide some initial data and corresponding results to learn if the research plan meets the dean’s needs.

I have the following research question:

Q1. Is there major GPA a better predictor of GRE score than preparation program?

What would be my null and alternative hypothesis and what statistical analysis in SPSS should I use and why?

Explanation / Answer

As you have 5 options

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.

and the GRE scores for these 5 options measured on a numeric scale , this is a clear case of 1 way ANOVA

1 WAY ANOVA Tells us that whether there is any difference in the GRE scores of the 5 types of the courses, if the result of the anova test comes out to be signficant then the next step would be to conduct a posthoc analysis , such as tukeyhsd, to confirm which options are different and better from one another

The hypothesis for anova would be

H0 : There is no difference in the mean gre scores of the 5 options

H1 : There is a significant difference in the mean gre scores of the 5 optiions , atleast for 2 options

Once we are able to reject the null hypothesis , then we conduct a posthoc analysis

for each pair of groups the hypothesis shall be

H0 : There is no difference in the mean gre scores of the 2 groups , say group1 and group 2

H1 : There is a significant difference in the mean gre scores of the 2 groups , say group1 and group 2   

There is no data in the question or else we could have shown the actual working using the open source alternative R .

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