Using Aalen's linear hazards model to investigate time–varying effects in the proportional hazards regression model
David W. Hosmer
Department of Biostatistics and Epidemiology
School of Public Health and Health Sciences
University of Massachusetts
715 North Pleasant Street
Amherst, MA 01003-9304 USA
413-545-4532
[email protected]
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Patrick Royston
Cancer Division
MRC Clinical Trials Unit
222 Euston Road
London NW1 2DA
UK
44-20-7670-4736
[email protected]
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Abstract. In this paper, we describe a new Stata command, stlh, which estimates
and tests for the significance of the time-varying regression coefficients
in Aalen’s linear hazards model; see Aalen (1989). We see two
potential uses for this command. One may use it as an alternative to a
proportional hazards or other nonlinear hazards regression model analysis to
describe the effects of covariates on survival time. A second application is
to use the command to supplement a proportional hazards regression model
analysis to assist in detecting and then describing the nature of
time-varying effects of covariates through plots of the estimated cumulative
regression coefficients, with confidence bands, from Aalen’s model. We
illustrate the use of the command to perform this supplementary analysis
with data from a study of residential treatment programs of different
durations that are designed to prevent return to drug use.
View all articles by these authors:
David W. Hosmer, Patrick Royston
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survival analysis, survival-time regression models, time-to-event analysis
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