Question

Pain medications sometimes come with side effects. One side effect is dizziness. A researcher wanted to determine if some pain medications produced more or less dizziness than others. The results from his study are shown in the table below.

	Tordol	Placebo	Naproxen	Tylenol	Advil
Dizziness	83	32	36	5	8
No dizziness	4063	1832	1330	382	337

What type of test would you use to determine if the proportion of people within each treatment group who experienced dizziness are the same?

• Goodness of Fit
• Test for Independence
• Test for Homogeneity

Answer 1

We are to test here whether the proportion of people within each treatment group who experienced dizziness are the same.

• The goodness of fit is used to test whether a particular sample of values fit a particular distribution with which we are testing it with.
• The test of independence is the chi square test which is used to find whether there is an association between two variables, or whether the two variables are independent.
• The test for homogeinity is an extension of testing the difference between two proportions, which instead of just teo proportions tests whether multiple proportions are equal or not.

Therefore test for homogeinity is the correct test here.