Q4 115 marks]: Consider the survival data in Table 1. Compute and plot the estim

Question

Q4 115 marks]: Consider the survival data in Table 1. Compute and plot the estimated the survivorship function, the probability density function, and the hazard function. ((Answer manually and also use SPSS) Table 1: Survival Data Number Alive at Beginning of Number Dying in Interval Interval 1200 950 760 569 485 304 280 182 98 65 Year of follow-up 2-3 3-4 4-5 5-6 6-7 7-8 8-9 >9 360 270 284 198 138 90 72 64 42 38 Q5 120 marks: Consider the data from a study of the remission times of 42 leukemia patients (in weeks) induced by two groups (treatment A and treatment B) given in Table 2. (Answer manually and also use SPSS) Table 2: Initial Remission Times of Leukemia Patients Group 2 Group 1 6, 6, 6. 7, 10, 13, 16, 22.1, 1, 2, 2, 3.4, 4. 5, 5,8, 23, 6+,9+, 10+, 11-174, | 8, 8, 8, 11, 11, 12, 12, 15, 17, 19+, 20+, 25+, 32+, 22, 23 32+,34+, 35+ a) Are the two group significantly different? b) What the median survival time of the two group c) Estimate the mean survival time

Explanation / Answer

4)

Time Number alive at the beginning(A) Number dying in the interval(Hazards)(B) Number surviving C=A-B) P(C)=C/TotalC(3337) P(B) 0-1 1200 360 840 0.252 0.23 1-2 950 270 680 0.204 0.17 2-3 760 284 476 0.143 0.18 3-4 569 198 371 0.111 0.13 4-5 485 138 347 0.104 0.09 5-6 304 90 214 0.064 0.06 6-7 280 72 208 0.062 0.05 7-8 182 64 118 0.035 0.04 8-9 98 42 56 0.017 0.03 >9 65 38 27 0.008 0.02 Total 4893 1556 3337 Time Interval 0-1 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 >9 Prob Function(surviving) 0.252 0.204 0.143 0.111 0.104 0.064 0.062 0.035 0.017 0.008 Prob Density function 0.252 0.455 0.598 0.709 0.813 0.877 0.940 0.975 0.992 1.000 Prob function(hazard) 0.231 0.174 0.183 0.127 0.089 0.058 0.046 0.041 0.027 0.024

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