Suppose an Investigator Is Interested to Study the Relationship Between

question 5

Essay

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.

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Definitions:

Ulna

One of the two long bones in the forearm, extending from the elbow to the smallest finger, and playing a vital role in arm movement and stability.

Pivot Joint

A type of synovial joint that allows rotation around a single axis, such as the joint between the first and second cervical vertebrae in the neck.

Forearm

The part of the arm between the elbow and the wrist.

Supination

The rotational movement of the forearm or foot that results in the palm or sole facing upwards or forwards.