The present paper is concerned with the comparison of the nephropathy onset time of type-2 diabetic patients, grouped on the basis of gender and age at the time of diabetes diagnosis. Diabetic Nephropathy (DN) onset time is assumed to follow Weibull distribution with fixed left truncation. The likelihood ratio test is applied on uncensored cases and Thoman and Bain two sample tests is applied with generated left truncated Weibull distributions. To avoid the model validity issues for left truncated and right censored data (LTRC), the nonparametric approach, suggested by Kaplan and Meier, is used to compare the survival function of two groups over different time periods. Another method based on median survival time of the pooled group is applied to compare the survival function of two groups with LTRC data. The major advantage of developing methods for comparing the nephropathy onset times of DM patients is that the expected DN onset time of new DM patients can be predicted depending on the patient group.
Kaplan-Meier survival function; survival time; Weibull distribution
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