Description
1. The SSA standard mortality table for 2019 is found at Mortality Table. Compute the net present value of a series of two payments of $1000 at the end of
year 1 and at the end of year 2, each payment contingent on at least one of two
people being alive at the time of the scheduled payment. Individual 1 is male
aged 80 and individual 2 is female aged 75. You can assume that the chance
of surviving a year at a given age is as given in the table. Use a discount rate
of 5%.
2. The data set tongue from KMsurv is described in KM section 1.11
Description:
The ‘tongue’ data frame has 80 rows and 3 columns.
Format:
This data frame contains the following columns:
type Tumor DNA profile (1=Aneuploid Tumor, 2=Diploid Tumor)
time Time to death or on-study time, weeks
delta Death indicator (0=alive, 1=dead)
(a) Construct and plot the Kaplan-Meier survival function estimates for the
two types of tumors, first without the confidence limits and then with
the confidence limits.
(b) Use survdiff to test the hypothesis that the two true survival curves are
the same. Interpret the results.
(c) Compare the two Kaplan-Meier curves to the Nelson-Aalen estimates
graphically. Interpret the results.
(d) To investigate the proportionality of the two hazard curves, compute and
plot the Nelson-Aalen cumulative hazards, the ratio of the cumulative
hazards, and the smoothed hazards using muhaz. Does it look as if the
hazards are proportional?
