Multiple comparisons in carcinogenesis study with right-censored survival data.
This paper considers the practical problem in animal carcinogenesis experiments where several treatment groups are compared with a control group in a one-way layout and the observed survival data are subject to random right-censorship. Proposed herein are multiple testing procedures based on two-sample weighted logrank statistics, each comparing an individual treatment with the control, for determining which treatments are more effective than the control. The associated p-value of claiming a certain treatment is more effective than the control is also discussed. A test-based confidence set for the scale changes between each treatment and the control is then obtained. The comparative results of a Monte Carlo error rate and power study for small sample sizes are presented. Finally, a numerical example involving renal carcinoma in mice demonstrates the feasibility of the proposed multiple testing procedures and test-based confidence set.
Chen
Y I
YI
Institute of Statistics, National Central University, Chung-Li, Taiwan 320, R.O.C. ychen@stat.ncu.edu.tw
D000818:Animals; D016001:Confidence Intervals; D004195:Disease Models, Animal; D018664:Interleukin-12 / Q000494:pharmacology*; D007376:Interleukin-2 / Q000494:pharmacology*; D007680:Kidney Neoplasms / Q000188:drug therapy*; D051379:Mice; D015233:Models, Statistical; D009010:Monte Carlo Method; D016016:Proportional Hazards Models; D016019:Survival Analysis
D007376:Interleukin-2; D018664:Interleukin-12