Proportional Hazards and Threshold Regression: Their Theoretical and Practical Connections

Details

• Personal Author:
  Lee ML ; Whitmore GA
• Description:
  Proportional hazards (PH) regression is a standard methodology for analyzing survival and time-to-event data. The proportional hazards assumption of PH regression, however, is not always appropriate. In addition, PH regression focuses mainly on hazard ratios and thus does not offer many insights into underlying determinants of survival. These limitations have led statistical researchers to explore alternative methodologies. Threshold regression (TR) is one of these alternative methodologies (see Lee and Whitmore, Stat Sci 21:501-513, 2006, for a review). The connection between PH regression and TR has been examined in previous published work but the investigations have been limited in scope. In this article, we study the connections between these two regression methodologies in greater depth and show that PH regression is, for most purposes, a special case of TR. We show two methods of construction by which TR models can yield PH functions for survival times, one based on altering the TR time scale and the other based on varying the TR boundary. We discuss how to estimate the TR time scale and boundary, with or without the PH assumption. A case demonstration is used to highlight the greater understanding of scientific foundations that TR can offer in comparison to PH regression. Finally, we discuss the potential benefits of positioning PH regression within the first-hitting-time context of TR regression. [Description provided by NIOSH]
• Subjects:
  Occupational Health Risk Assessment Safety Workplace
• Keywords:
  Analytical-methods Analytical-models Analytical-processes Author Keywords: Brownian Motion Exposure-levels Exposure-methods First Hitting Time Gamma Process Mathematical-models Poisson Process Process Time Renewal Process Risk-analysis Statistical-analysis Stochastic Process Survival Time Time To Event Workplace-studies

  More +
• ISSN:
  1380-7870
• Document Type:
  Text
• Funding:
  Grant
• Genre:
  Journal Article
• Place as Subject:
  Maryland ; OSHA Region 3
• CIO:
  National Institute for Occupational Safety and Health (NIOSH)
• Topic:
  Workplace Safety & Health
• Location:
  North America
• Pages in Document:
  196-214
• Volume:
  16
• Issue:
  2
• NIOSHTIC Number:
  nn:20037029
• Citation:
  Lifetime Data Anal 2010 Apr; 16(2):196-214
• Contact Point Address:
  Mei-Ling Ting Lee, University of Maryland, College Park, MD 20740, USA
• Email:
  MLTLEE@UMD.EDU
• Federal Fiscal Year:
  2010
• Performing Organization:
  University of Maryland - College Park
• Peer Reviewed:
  True
• Start Date:
  20060901
• Source Full Name:
  Lifetime Data Analysis
• End Date:
  20090831
• Collection(s):
  National Institute for Occupational Safety and Health
• Main Document Checksum:
  urn:sha-512:73ce2a39f9886491214b3cc257a8f90473a1f54ad59f85185d5efef40b0db8f207065060bdfdf6be03fda9e3541c9474bbdd8dedcb8f539426c52cd940ba7e0f
• Download URL:
  https://stacks.cdc.gov/view/cdc/188204/cdc_188204_DS1.pdf
• File Type:
  [PDF - 696.38 KB ]