In the lung cancer data base, we have also given information about the survival times of male and female lung cancer patients. Take a random sample of n = 50 of the survival times of male lung patients and proceed to perform the same analysis for the survival times as in Exercise 7.4.10.
In exercise 7.4.10.
(a) Structure a histogram to possibly guide you in identifying the pdf of the subject data.
(b) Use any of the goodness-of-fit test to search in identifying the correct pdf that characterizes the behavior of the given survival times for α = 0.05
(c) State completely the pdf you have identified and discuss its usefulness in obtaining information about the subject data.
(d) Obtain the cdf F(t) of the pdf f(t) you have found. If you take one minus the F(t) you will obtain the survival function, S(t), of the given data. That is, S(t) = 1–F(t). The survival function, S(t), gives you the probability that a given patients drawn the data base of 250 breast cancer patients will survive a specified year.
(e) Write the survival function of the given data set and graph it, that is, S(t) versus t. Discuss the useful information that the graph gives concerning breast cancer patients.