Suppose an investigator is interested to study the relationship between hormone therapy treatments (treatment A, treatment B, and no treatment) and time to recurrence of breast cancer. Age (years), postmenopause (yes/no), and tumor size (millimeter) are also considered as possible predictors.
a.Using proportional-hazards regression to investigate this research question, what is the statistical model?
b.Provide appropriate global null and research hypotheses for the model in (a). What would you conclude if the null hypothesis is rejected?
c.Provide appropriate null and research hypotheses for the specific effect of each hormone therapy. What does a rejected null hypothesis imply?
d.If the estimate HRT A is -0.70 (95% CI: -0.84, -0.56) and the control is used as the reference, provide an estimate of the hazard ratio and its 95% confidence interval and interpret.

Question

Suppose an investigator is interested to study the relationship between hormone therapy treatments (treatment A, treatment B, and no treatment) and time to recurrence of breast cancer. Age (years), postmenopause (yes/no), and tumor size (millimeter) are also considered as possible predictors. 
a.Using proportional-hazards regression to investigate this research question, what is the statistical model?
b.Provide appropriate global null and research hypotheses for the model in (a). What would you conclude if the null hypothesis is rejected?
c.Provide appropriate null and research hypotheses for the specific effect of each hormone therapy. What does a rejected null hypothesis imply?
d.If the estimate HRT A is -0.70 (95% CI: -0.84, -0.56) and the control is used as the reference, provide an estimate of the hazard ratio and its 95% confidence interval and interpret.

Quizplus · Accepted Answer

The Answer of Suppose an investigator is interested to study the relationship between hormone therapy treatments (treatment A, treatment B, and no treatment) and time to recurrence of breast cancer. Age (years), postmenopause (yes/no), and tumor size (millimeter) are also considered as possible predictors. 
a.Using proportional-hazards regression to investigate this research question, what is the statistical model?
b.Provide appropriate global null and research hypotheses for the model in (a). What would you conclude if the null hypothesis is rejected?
c.Provide appropriate null and research hypotheses for the specific effect of each hormone therapy. What does a rejected null hypothesis imply?
d.If the estimate HRT A is -0.70 (95% CI: -0.84, -0.56) and the control is used as the reference, provide an estimate of the hazard ratio and its 95% confidence interval and interpret.

Suppose an Investigator Is Interested to Study the Relationship Between