 A note on proportional hazards and proportional odds modelsShande Chen and Amita K. Manatunga Statistics & Probability Letters, 2007, vol. 77, issue 10, 981-988 Abstract: The proportional hazards model has been used as a major model for analyzing survival data. When there are heavy ties, the proportional odds model is often recommended as an alternative. In this paper, we explore theoretical properties of these two models. We obtain a necessary condition for the discrete proportional odds model. We study the relationship between the proportional hazards and proportional odds models when the continuous times are discretized. Using this relationship, we derive a characterization result for the proportional hazards model, showing that the proportional hazards model is only related to the geometric distribution, a special case of the proportional odds model. We highlight this important difference between the two models that seems to be ignored in the analysis of real data. Using small numerical studies, we show that caution should be taken in using a proportional odds model in place of a proportional hazards model. Keywords: Characterization; Geometric; distribution; Interval; censored; data; Survival; analysis (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:stapro:v:77:y:2007:i:10:p:981-988 Ordering information: This journal article can be ordered from Access Statistics for this article Statistics & Probability Letters is currently edited by Somnath Datta and Hira L. Koul More articles in Statistics & Probability Letters from Elsevier |
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