In section 1.11 we discussed a study of the effect of ploidy on the survival of
ID: 3307313 • Letter: I
Question
In section 1.11 we discussed a study of the effect of ploidy on the survival of patients with cancer of the tongue. Using the data on aneuploid tumors found in Table 1.6. (a) Estimate the survival function at one (12 months) and ve years (60 months) after transplant. Find the standard errors for your estimates. (b) Estimate the cumulative hazard rate, H(t), at 60 months. Find the standard error of ˆ H(t). Estimate S(60) by exp ˆ H(t) and compare to your estimate in part a. (c) Find a 95% linear condence interval for S(60). (d) Find a 95% log-transformed condence interval for S(60). (e) Find a 95% arcsine-square root condence interval for S(60). (f) Using the log transformation nd a 95% EP condence band for the survival function over the range three years to six years (i.e., 36–72 months). (g) Using the log transformation nd a 95% Hall-Wellner condence band for the survival function over the range three years to six years (i.e., 36–72 months).
Explanation / Answer
Dear Student, As per chegg policy, I am providing here the solution of 4 subparts (a), (b) (c) (d). You may post rest of the parts in a seperate thread.
Solution:
The R program and the output gives answer to all the questions:
It can be seen that for (a), (c), (d), the answer is here:
For (b), the answer lies here:
Since for 60 months, the weeks is 260, the answer is 1.39191272.
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