Conservatism of the approximation sigma (O-E)2-E in the logrank test for survival data or tumor incidence data.
The logrank test is widely recommended for the statistical comparison of groups of observations of event times in which some observations may be censored. It is the rank test of greatest local power for detecting multiplicative differences in failure rates, and has many applications in clinical tria...
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
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1973
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| _version_ | 1797058350385463296 |
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| author | Peto, R Pike, M |
| author_facet | Peto, R Pike, M |
| author_sort | Peto, R |
| collection | OXFORD |
| description | The logrank test is widely recommended for the statistical comparison of groups of observations of event times in which some observations may be censored. It is the rank test of greatest local power for detecting multiplicative differences in failure rates, and has many applications in clinical trials and carcinogenesis experiments. This report provides a 'cookbook' account of how to do it, and proves the conservatism of a certain easily calculated chi squared approximation to the conditional logrank test for group heterogeneity. An immediate consequence of this proof is that if several r by 2 contingency tables are being summed (as, for example, in the indirect standardization technique), then the Poisson approximation to the usual conditional chi2(r-1) heterogeneity test is strictly conservative. |
| first_indexed | 2024-03-06T19:49:15Z |
| format | Journal article |
| id | oxford-uuid:2366ade3-f873-4805-b8e1-d37fe00175ba |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T19:49:15Z |
| publishDate | 1973 |
| record_format | dspace |
| spelling | oxford-uuid:2366ade3-f873-4805-b8e1-d37fe00175ba2022-03-26T11:44:09ZConservatism of the approximation sigma (O-E)2-E in the logrank test for survival data or tumor incidence data.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:2366ade3-f873-4805-b8e1-d37fe00175baEnglishSymplectic Elements at Oxford1973Peto, RPike, MThe logrank test is widely recommended for the statistical comparison of groups of observations of event times in which some observations may be censored. It is the rank test of greatest local power for detecting multiplicative differences in failure rates, and has many applications in clinical trials and carcinogenesis experiments. This report provides a 'cookbook' account of how to do it, and proves the conservatism of a certain easily calculated chi squared approximation to the conditional logrank test for group heterogeneity. An immediate consequence of this proof is that if several r by 2 contingency tables are being summed (as, for example, in the indirect standardization technique), then the Poisson approximation to the usual conditional chi2(r-1) heterogeneity test is strictly conservative. |
| spellingShingle | Peto, R Pike, M Conservatism of the approximation sigma (O-E)2-E in the logrank test for survival data or tumor incidence data. |
| title | Conservatism of the approximation sigma (O-E)2-E in the logrank test for survival data or tumor incidence data. |
| title_full | Conservatism of the approximation sigma (O-E)2-E in the logrank test for survival data or tumor incidence data. |
| title_fullStr | Conservatism of the approximation sigma (O-E)2-E in the logrank test for survival data or tumor incidence data. |
| title_full_unstemmed | Conservatism of the approximation sigma (O-E)2-E in the logrank test for survival data or tumor incidence data. |
| title_short | Conservatism of the approximation sigma (O-E)2-E in the logrank test for survival data or tumor incidence data. |
| title_sort | conservatism of the approximation sigma o e 2 e in the logrank test for survival data or tumor incidence data |
| work_keys_str_mv | AT petor conservatismoftheapproximationsigmaoe2einthelogranktestforsurvivaldataortumorincidencedata AT pikem conservatismoftheapproximationsigmaoe2einthelogranktestforsurvivaldataortumorincidencedata |