Abstract
In an experiment consisting of the continuous constant application of various carcinogenic regimens to a pure strain of experimental animals for a long period, the cancer incidence rates so caused may be studied and compared by the fit of an appropriate class of statistical distributions. In this paper we show that a Weibull distribution in which the age-specific cancer incidence rate rises as a power of time since first risk is more appropriate than a lognormal distribution. If the Weibull family of distributions is used, more information can be extracted from the data, and differences of toxicity between various regimens will not bias the comparison of their carcinogenic forces.
Full text
PDF![258](https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a269/2008655/b3540f2d5351/brjcancer00355-0022.png)
![259](https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a269/2008655/90d250f5c86c/brjcancer00355-0023.png)
![260](https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a269/2008655/3388ec1cbb49/brjcancer00355-0024.png)
![261](https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a269/2008655/ad4da6e73406/brjcancer00355-0025.png)
Selected References
These references are in PubMed. This may not be the complete list of references from this article.
- Cook P. J., Doll R., Fellingham S. A. A mathematical model for the age distribution of cancer in man. Int J Cancer. 1969 Jan 15;4(1):93–112. doi: 10.1002/ijc.2910040113. [DOI] [PubMed] [Google Scholar]
- Day T. D. Carcinogenic action of cigarette smoke condensate on mouse skin. Br J Cancer. 1967 Mar;21(1):56–81. doi: 10.1038/bjc.1967.8. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Gehan E. A. Estimating survival functions from the life table. J Chronic Dis. 1969 Feb;21(9):629–644. doi: 10.1016/0021-9681(69)90035-6. [DOI] [PubMed] [Google Scholar]
- PIKE M. C., ROE F. J. AN ACTUARIAL METHOD OF ANALYSIS OF AN EXPERIMENT IN TWO-STAGE CARCINOGENESIS. Br J Cancer. 1963 Dec;17:605–610. doi: 10.1038/bjc.1963.80. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Pike M. C. A method of analysis of a certain class of experiments in carcinogenesis. Biometrics. 1966 Mar;22(1):142–161. [PubMed] [Google Scholar]