A elementary school teacher has her students complete a creativity test that she scores out of 10. She also gives them a standardized intelligence test that that has a mean of 100 and is normally distributed. She suspects that smarter kids are less creative than less intelligent kids. She decides to run a dependent groups t-test on the data. What is your advice to her?

What will be an ideal response?


Correct Answer:
You should explain to her that her data are not appropriate for the analysis she wants to do. The t-test assumes equal means and variances in the population. The two variables in this case are not on the same scale. Converting the variables to proportion or some sort of standard score would permit a comparison although the creativity test scale may well violate the assumptions of the t-test. Perhaps a correlation test would be more appropriate.

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