There are four stages of prostate cancer, ranging from T1 (early stage, non-dete
ID: 3066990 • Letter: T
Question
There are four stages of prostate cancer, ranging from T1 (early stage, non-detectable) to T4 (late stage, tumor extends beyond prostate). Researchers are interested in whether stage of cancer predicts depression score (continuous, ranging from 0 - 27). Which of the following is correct?
We can test the null hypothesis that there is no difference in mean depression score across groups by regressing depression score against 3 dummy variables for T1, T2, T3, and using the global F-test.
We can test the null hypothesis that there is no difference in mean depression score across groups by regressing depression score against 3 dummy variables for T2, T3, T4, and using the t-test for the intercept.
We can test the null hypothesis that there is no difference in mean depression score across groups by regressing depression score against dummy variables for T1, T2, T3, T4, and using the global F-test.
We cannot test the null hypothesis that there is no difference in mean depression score across groups using regression. We should use a one-way ANOVA instead.
a.We can test the null hypothesis that there is no difference in mean depression score across groups by regressing depression score against 3 dummy variables for T1, T2, T3, and using the global F-test.
b.We can test the null hypothesis that there is no difference in mean depression score across groups by regressing depression score against 3 dummy variables for T2, T3, T4, and using the t-test for the intercept.
c.We can test the null hypothesis that there is no difference in mean depression score across groups by regressing depression score against dummy variables for T1, T2, T3, T4, and using the global F-test.
d.We cannot test the null hypothesis that there is no difference in mean depression score across groups using regression. We should use a one-way ANOVA instead.
Explanation / Answer
Option A is Correct
We can test the null hypothesis that there is no difference in mean depression score across groups by regressing depression score against 3 dummy variables for T1, T2, T3, and using the global F-test.
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