Chapter

Analysis of Time to Failure

Theodore R. Holford

in Multivariate Methods in Epidemiology

Published in print July 2002 | ISBN: 9780195124408
Published online September 2009 | e-ISBN: 9780199864270 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780195124408.003.0005

Series: Monographs in Epidemiology and Biostatistics

Analysis of Time to Failure

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This chapter considers nonparametric methods for summarizing the occurrence of failures over time. The survival curve is the most commonly used summary, and actuarial, piecewise constant, and product limit estimators are discussed. Another use for estimates of survival curves is to validate assumptions about the distribution of times to failure that may underlie a parametric analysis. For this type of analysis plots of the log and the log-log of the survival curve are considered, which provide a diagnostic tool for evaluating the validity of assumed exponential, or Weibull, distributions. Finally, tests for comparing two survival curves are considered, which are best used when the proportional hazards assumption applies. Exercises are provided at the end of the chapter.

Keywords: inferences; survival curves. graphical methods; hazard function; constant hazard; weibull hazard

Chapter.  9111 words.  Illustrated.

Subjects: Public Health and Epidemiology

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