Analytic expressions for maximum likelihood estimators in a nonparametric model of tumor incidence and death
- 1 January 1992
- journal article
- research article
- Published by Taylor & Francis in Communications in Statistics - Theory and Methods
- Vol. 21 (3) , 711-732
- https://doi.org/10.1080/03610929208830810
Abstract
This research focuses on the estimation of tumor incidence rates from long-term animal studies which incorporate interim sacrifices. A nonparametric stochastic model is described with transition rates between states corresponding to the tumor incidence rate, the overall death rate, and the death rate for tumor-free animals. Exact analytic solutions for the maximum likelihood estimators of the hazard rates are presented, and their application to data from a long-term animal study is illustrated by an example. Unlike many common methods for estimation and comparison of tumor incidence rates among treatment groups, the estimators derived in this paper require no assumptions regarding tumor lethality or treatment lethality. The small sample operating characteristics of these estimators are evaluated using Monte Carlo simulation studies.Keywords
This publication has 14 references indexed in Scilit:
- Comparison of Two Treatments in Animal Carcinogenicity ExperimentsJournal of the American Statistical Association, 1988
- A guide to the statistical analysis of long-term carcinogenicity assays*1, *2Fundamental and Applied Toxicology, 1988
- Handling cause of death in equivocal cases using the em algorithmCommunications in Statistics - Theory and Methods, 1987
- Nonparametric Prevalence and Mortality Estimators for Animal Experiments With Incomplete Cause-of-Death DataJournal of the American Statistical Association, 1986
- On the Representativeness Assumption in Prevalence Tests of CarcinogenicityJournal of the Royal Statistical Society Series C: Applied Statistics, 1985
- Statistical Issues in the Design, Analysis and Interpretation of Animal Carcinogenicity StudiesEnvironmental Health Perspectives, 1984
- Tests for Differences in Tumor Incidence Based on Animal Carcinogenesis ExperimentsJournal of the American Statistical Association, 1984
- Dose‐response models for time‐to‐response toxicity dataThe Canadian Journal of Statistics / La Revue Canadienne de Statistique, 1983
- Regression Analysis of Tumour Prevalence DataJournal of the Royal Statistical Society Series C: Applied Statistics, 1983
- Assessing the accuracy of the maximum likelihood estimator: Observed versus expected Fisher informationBiometrika, 1978