Minimum Size Survival Analysis Sampling Plans for Comparing Multiple Treatment Groups to a Single Control Group |
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| Authors: | Daniel R Jeske James M Flegal Stephen R Spindler |
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| Institution: | 1. Department of Statistics, University of California – Riverside, Riverside, California, USA;2. Department of Biochemistry, University of California—Riverside, Riverside, California, USA |
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| Abstract: | We develop a sample size methodology that achieves specified Type-1 and Type-2 error rates when comparing the survivor functions of multiple treatment groups versus a control group. The designs will control family-wise Type-1 error rate. We assume the family of Weibull distributions adequately describes the underlying survivor functions, and we separately consider three of the most common study scenarios: (a) complete samples; (b) Type-1 censoring with a common censoring time; and (c) Type-1 censoring with an accrual period. A mice longevity study comparing the effect on survival of multiple low-calorie diets is used to motivate our work on this problem. |
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| Keywords: | Survival analysis Weibull distribution Sample size Censored data Family-wise Type-1 error rate |
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