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 and hypotheses:

Q1. Is there a relationship between type of preparation program and GRE score?

H0: There is no relationship between type of preparation program and GRE score.

Ha: There is a relationship between the type of preparation program and GRE score.

What statistical analysis in SPSS should I use and why?

Explanation / Answer

Soultion:-

We will perform chi-square test for independence.

The test is applied when we have two categorical variables from a single population. It is used to determine whether there is a significant association between the two variables.

The Chi-Square test of Independence is used to determine if there is a significant relationship between two categorical variables. The frequency of one nominal variable is compared with different values of the second nominal variable. The data can be displayed in an R*C contingency table, where R is the row and C is the column.

In this example a researcher wants to examine the relationship between type of preparation program and GRE score. The chi-square test of independence can be used to examine this relationship. If the null hypothesis is accepted there would be no relationship between type of preparation program and GRE score. If the null hypotheses is rejected the implication would be that there is a relationship between type of preparation program and GRE score.

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