--
"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
(http://www.iser.essex.ac.uk/teaching/degree/stephenj/ec968/pdfs/ec968lnotesv6.pdf
).
-Steve
On Wed, May 13, 2009 at 7:16 PM, Emory Morrison
<[email protected]> 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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