Weibull distributions for continuous-carcinogenesis experiments.
In 1966, Pike suggested that continuous carcinogenesis experiments be analyzed by fitting appropriate Weibull distributions. Unfortunately, the Weibull distribution seems nearly degenerate with respect to the two of its three parameters which do not depend on treatment, and one of these may therefor...
| Main Authors: | , |
|---|---|
| Format: | Journal article |
| Language: | English |
| Published: |
1973
|
| _version_ | 1797098943001133056 |
|---|---|
| author | Peto, R Lee, P |
| author_facet | Peto, R Lee, P |
| author_sort | Peto, R |
| collection | OXFORD |
| description | In 1966, Pike suggested that continuous carcinogenesis experiments be analyzed by fitting appropriate Weibull distributions. Unfortunately, the Weibull distribution seems nearly degenerate with respect to the two of its three parameters which do not depend on treatment, and one of these may therefore have to be fixed arbitrarily. Since both degenerate parameters have definite physical meaning, the choice of a sensible pair of values is possible. When this is done, Pike's method is excellent for separating quantitative carcinogenic response from intercurrent mortality. In this paper details are given of how regression type arguments can be used in a multi group experiment to find simple relationships between the treatment applied to each group and the value of the third (treatment dependent) Weibull coefficient for that group. |
| first_indexed | 2024-03-07T05:16:44Z |
| format | Journal article |
| id | oxford-uuid:dd783059-9c55-4cea-93b9-13aa1b2bde27 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T05:16:44Z |
| publishDate | 1973 |
| record_format | dspace |
| spelling | oxford-uuid:dd783059-9c55-4cea-93b9-13aa1b2bde272022-03-27T09:25:10ZWeibull distributions for continuous-carcinogenesis experiments.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:dd783059-9c55-4cea-93b9-13aa1b2bde27EnglishSymplectic Elements at Oxford1973Peto, RLee, PIn 1966, Pike suggested that continuous carcinogenesis experiments be analyzed by fitting appropriate Weibull distributions. Unfortunately, the Weibull distribution seems nearly degenerate with respect to the two of its three parameters which do not depend on treatment, and one of these may therefore have to be fixed arbitrarily. Since both degenerate parameters have definite physical meaning, the choice of a sensible pair of values is possible. When this is done, Pike's method is excellent for separating quantitative carcinogenic response from intercurrent mortality. In this paper details are given of how regression type arguments can be used in a multi group experiment to find simple relationships between the treatment applied to each group and the value of the third (treatment dependent) Weibull coefficient for that group. |
| spellingShingle | Peto, R Lee, P Weibull distributions for continuous-carcinogenesis experiments. |
| title | Weibull distributions for continuous-carcinogenesis experiments. |
| title_full | Weibull distributions for continuous-carcinogenesis experiments. |
| title_fullStr | Weibull distributions for continuous-carcinogenesis experiments. |
| title_full_unstemmed | Weibull distributions for continuous-carcinogenesis experiments. |
| title_short | Weibull distributions for continuous-carcinogenesis experiments. |
| title_sort | weibull distributions for continuous carcinogenesis experiments |
| work_keys_str_mv | AT petor weibulldistributionsforcontinuouscarcinogenesisexperiments AT leep weibulldistributionsforcontinuouscarcinogenesisexperiments |