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Re: st: event history analysis with years clustered in individuals


From   Steven Samuels <sjhsamuels@earthlink.net>
To   statalist@hsphsun2.harvard.edu
Subject   Re: st: event history analysis with years clustered in individuals
Date   Fri, 13 Feb 2009 12:36:25 -0500


Hilde, I agree with Austin's approach. Even if you have only months, not days, of starting and quitting, use that time unit in a survival or discrete survival model. I recommend Stephen Jenkins's -hshaz- (get it from SSC); his "model 1" (the "Prentice-Gloeckler model" is the same as that fit by -cloglog-. His model 2 adds unobserved heterogeneity and so may be more realistic (Heckman and Singer, 1984).

I would not be surprised if prediction equations for of early and later quitting differed. If so, time-dependent covariates or separate models for early and later quitting, would be informative.

-Steve

Prentice, R. and Gloeckler L. (1978). Regression analysis of grouped survival data with application to breast cancer data. Biometrics 34 (1): 57-67.

Heckman, J.J. and Singer, B. (1984). A Method for minimizing the impact of distributional assumptions in econometric models for duration data, Econometrica, 52 (2): 271-320.



Hilde Karlsen <Hilde.Karlsen@hio.no>:
Attrition from nursing sounds like a survival model, probably in
discrete time, using -logit- or -cloglog- with time dummies, not
-xtmelogit- (see
http://www.iser.essex.ac.uk/iser/teaching/module-ec968 for a textbook
and self-guided course on discrete time survival models).  If you have
T years of data on each individual, all of whom are first-year nurses
in period 1, and some of whom quit nursing in each of the subsequent
years, with a variable nurse==1 when a nurse (and zero otherwise), an
individual identifier id, a year variable year, and a bunch of
explanatory variables x*, you can just:

tsset id year
bys id (year): g quit=(l.nurse==1 & nurse==0)
by id: replace quit=. if l.quit==1 | (mi(l.quit)&_n>1)
tab year, gen(_t)
drop _t1
logit quit _t* x*

and then work up to more complicated models with heterogeneous
frailty, etc. The main issues are that someone who quit nursing last
year cannot quit nursing again this year, and people who never quit
nursing might at some future point that you don't observe, which is
why you use survival models...

If you know the day they started work and the day they quit, you might
prefer a continuous-time model (help st).

I've been assuming you had data on people working as nurses, but
rereading your email, maybe you have data on breastfeeding mothers,
though I suppose the same considerations apply (though with multiple
years of data on breastfeeding mothers, there is probably no
censoring).

On Fri, Feb 13, 2009 at 9:19 AM, Hilde Karlsen <Hilde.Karlsen@hio.no> wrote:
Dear statalisters,

This is probably a stupid question, but I've been searching around the nets and in books and articles, and I've still not grasped the concept: When I'm performing a multilevel analysis of attrition from nursing using xtmelogit, and time (year) is the level 1 variable and individuals (id) is the level 2 variable (i.e. years are clustered within individuals; I have a person-year file), how do I formulate the expectation related to this model? Why is it
important to separate between these two levels?

I find it more intuitive to grasp the fact that individuals are clustered
within schools, and that variables on the school level - as well as
variables on the individual level - may influence e.g. which grades a
student gets.

I understand (at least I hope I understand) the point that when the same individuals are followed over a period of time, the individual's responses are probably highly correlated, and that this implies a violation to the assumption about the heteroskedastic error-terms. As I see it, I could have
used the cluster() - command (cluster(id))to 'avoid' this violation;
however, I have to write an essay using multilevel analysis, so this is not
an option.

I don't know if I'm being clear enough about what my problem is, but any
information regarding this topic (how to grasp the concept of years
clustered in individuals) will be greatly appreciated.
I'm really sorry for having to ask you such an infantile question.. My colleagues and friends are not familiar with multilevel analyses, so I don't
know who to turn to.

Best regards,
Hilde
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