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Homework # 5 Due on Nov 20, 2008 (Thursday) On Class
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Question 1:
A follow-up study of post-menopausal women diagnosed with breast cancer was performed to
examine whether the estrogen receptor (ER) status of the tumor was related to prognosis, adjusting
for stage of disease at diagnosis and age at diagnosis.
Let h (t | X ) be the hazard of death at month t after diagnosis for an individual with
covariates X, X = ( XE, XA ) where
=
E
X 1 (ER positive tumor) or 0 (ER negative tumor)
=
A
X age in years at diagnosis
Suppose the following proportional hazards model was found to fit the data:
)007.783.exp()()|(
0 AE
XXthXth +?=
where )(
0
th is the baseline hazard function.
(a) Based on this model, what is your best estimate of the hazard ratio (i.e. relative risk) of death for
a woman with an ER positive tumor relative to a woman of the ...
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