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RE: st: "time ratios" and "hazard ratios"

From   "Kieran McCaul" <>
To   <>
Subject   RE: st: "time ratios" and "hazard ratios"
Date   Fri, 15 May 2009 06:48:08 +0800


This one works:

Kieran McCaul MPH PhD
WA Centre for Health & Ageing (M573)
University of Western Australia
Level 6, Ainslie House
48 Murray St
Perth 6000
Phone: (08) 9224-2701
Fax: (08) 9224 8009
Epidemiology is so beautiful and provides such an important perspective on human life and death, 
but an incredible amount of rubbish is published.  Richard Peto (2007) 

-----Original Message-----
From: [] On Behalf Of Martin Weiss
Sent: Thursday, 14 May 2009 11:26 PM
Subject: AW: st: "time ratios" and "hazard ratios"


The link to the book does not do much good for me. Is there an alternative?


-----Ursprüngliche Nachricht-----
[] Im Auftrag von
Gesendet: Donnerstag, 14. Mai 2009 16:58
Betreff: Re: st: "time ratios" and "hazard ratios"


"can I take the multiplicative inverse of the time ratio and report it
as a hazard ratio?"

No, The (log) Weibull is the  only probability distribution for which
this is true.

It's a good idea to consider multiple probability distributions, as
you have done. but reporting the regression results is not enough.
Have you evidence that these distributions fit the data?  (using a
-linktest- or diagnostic plots, for example); that one fits any better
or worse than the others?  You can compare directly the likelihoods of
the log-logistic and log-normal, and those of the log-normal and
Weibull models.

For hazard ratio models, I rarely see anything but a Cox model these
days, because the Weibull has a very restrictive shape. Patrick
Royston's -stpm-  (from SSC) offers a flexible parametric version.
For the log-linear regression models , the generalized Gamma in Stata
has the most flexible shape, and its likelihood can be compared
directly to those of the Weibull and log-normal.   See:  Stephen
Jenkins's  book "Survival Analysis", available from his website


On Wed, May 13, 2009 at 7:16 PM, Emory Morrison
<> wrote:
> I am reporting different specifications of event history models within the
same paper.
> In some of the models (for example the log logistic specification and the
log normal specification) stata reports coefficients as time ratios.
> In the Weibull model stata report coefficients as hazard ratios.
> While the direction of effects are clearly inverted in these two ways of
reporting the coefficients, I need to know if these coefficients are
precisely inverse.  In other words, can I take the multiplicative inverse of
the time ratio and report it as a hazard ratio?
> It would be very helpful in writing up the results of the paper, if the
coefficients could be read and interpreted in a standardized fashion.

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