Checking proportional rates in the two-sample transformation model

David Kraus

Kybernetika (2009)

  • Volume: 45, Issue: 2, page 261-278
  • ISSN: 0023-5954

Abstract

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Transformation models for two samples of censored data are considered. Main examples are the proportional hazards and proportional odds model. The key assumption of these models is that the ratio of transformation rates (e. g., hazard rates or odds rates) is constant in time. A~method of verification of this proportionality assumption is developed. The proposed procedure is based on the idea of Neyman's smooth test and its data-driven version. The method is suitable for detecting monotonic as well as nonmonotonic ratios of rates.

How to cite

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Kraus, David. "Checking proportional rates in the two-sample transformation model." Kybernetika 45.2 (2009): 261-278. <http://eudml.org/doc/37734>.

@article{Kraus2009,
abstract = {Transformation models for two samples of censored data are considered. Main examples are the proportional hazards and proportional odds model. The key assumption of these models is that the ratio of transformation rates (e. g., hazard rates or odds rates) is constant in time. A~method of verification of this proportionality assumption is developed. The proposed procedure is based on the idea of Neyman's smooth test and its data-driven version. The method is suitable for detecting monotonic as well as nonmonotonic ratios of rates.},
author = {Kraus, David},
journal = {Kybernetika},
keywords = {Neyman's smooth test; proportional hazards; proportional odds; survival analysis; transformation model; two-sample test; Neyman's smooth test; proportional hazards; proportional odds; survival analysis; transformation model; two-sample test; chronic active hepatitis},
language = {eng},
number = {2},
pages = {261-278},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Checking proportional rates in the two-sample transformation model},
url = {http://eudml.org/doc/37734},
volume = {45},
year = {2009},
}

TY - JOUR
AU - Kraus, David
TI - Checking proportional rates in the two-sample transformation model
JO - Kybernetika
PY - 2009
PB - Institute of Information Theory and Automation AS CR
VL - 45
IS - 2
SP - 261
EP - 278
AB - Transformation models for two samples of censored data are considered. Main examples are the proportional hazards and proportional odds model. The key assumption of these models is that the ratio of transformation rates (e. g., hazard rates or odds rates) is constant in time. A~method of verification of this proportionality assumption is developed. The proposed procedure is based on the idea of Neyman's smooth test and its data-driven version. The method is suitable for detecting monotonic as well as nonmonotonic ratios of rates.
LA - eng
KW - Neyman's smooth test; proportional hazards; proportional odds; survival analysis; transformation model; two-sample test; Neyman's smooth test; proportional hazards; proportional odds; survival analysis; transformation model; two-sample test; chronic active hepatitis
UR - http://eudml.org/doc/37734
ER -

References

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