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Biometrika 1989 76(2):317-324; doi:10.1093/biomet/76.2.317
© 1989 by Biometrika Trust
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Efficiency robust score tests for rodent tumourigenicity experiments

R. BURNETT, D. KREWSKI and S. BLEUER

Health Protection Branch, Health & Welfare Canada Ottawa, Ontario, Canada K1A 0L2

The standard statistical test for assessing adverse effects in rodent tumourigenicity experiments is based on a time-adjusted analysis of lethal and incidental tumours. This test is shown to arise as the sum of two score statistics for fatal and incidental lesions respectively, the former optimal against extreme value hazard alternatives and the latter optimal against logistic prevalence alternatives in terms of asymptotic relative efficiency in the Pitman sense. An efficiency robust test is developed which retains near full efficiency in the extreme value/logistic situation as well as in other situations where the standard test may be only 70% efficient.

Key Words: Asymptotic relative efficiency • Fatal tumour • Incidental tumour • Marginal likelihood • Maximin efficiency robust test • Score test


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