[Simple correlation analysis and inference] During our discussion of regression
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Question
[Simple correlation analysis and inference]
During our discussion of regression modeling in class, a small data set of student ACT scores and GPAs was presented. (This same data set is shown below.)
A. Aside from regression modeling (and assumptions of causality, normality, linearity, etc.), what type of statistical analysis could you use to determine whether there is an association of ACT scores and GPA?
B. What are the levels of measurement for each student response?
C. Based on the levels of measurement, would a parametric or non-parametric procedure be suitable for analysis?
D. Based on the sample size, do you think the data would characterize a normal distribution?
Student ACT GPA 8 3.88 26 3.79 27 2.36 19 2.33 24 3.53 21 2.94 16 2.14 24 3.53 25 2.73 29 3.52 1 3 4 5 6 7 10Explanation / Answer
A.. Paired sample t test should be used to test whether there is an association of ACT scores and GPA.
B. Act scores are in interval scale and GPAs are in ratio scale.
C. Based on the levels of measurements, we can use parametric procedure.
D. Since the sample size is less than 30, the data could not be characterize a normal distribution.
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