Impact of surviving time on tests for carcinogenicity

On the Exact Conditional Distribution for Peto's Combined Test for Carcinogenicity Assays

“…2536 Heimann and It distinguishes between tumors classified as fatal and tumors classified as incidental, and combines standard tests for fatal tumors (the logrank test) and incidental tumors (the Mantel-Haenszel test) to an overall test. This combined test is now widely recommended (see Fairweather et al, 1998), and has been discussed extensively in the literature (Chen and Moore, 1994;Graves and Pazdan, 1995;Heimann and Neuhaus, 2001;Lagakos and Louis, 1988;Lin and Ali, 1994;McKnight and Wahrendorf, 1992, and many others). Heimann and Neuhaus (2001) introduced a rigorous mathematical model to describe censored data arising from carcinogenicity assays, and they investigated the asymptotic distribution of Peto's combined test under different assumptions on the censoring distributions.…”