In article <BqUz4.32511$[EMAIL PROTECTED]>,
"JP" <R E M O V E [EMAIL PROTECTED]> wrote:
> Hi all,
>
> I am in the process of analyzing data of such type:
> We have data on 1800 doctors over 49 months:few dependent variables (a
> particular drug prescription level), few independent (some time
related
> (severity of patients seen in the months, practice volume,...) and
some
> constant over time: university, sex, and years of practive (which can
also
> be considered as time dependant)).
>
> id month y timeind1 ... timedep1 ...
> 1 1 4 1 30
> 1 2 6 1 36
> 1 3 6 1 38
> ...
> 1 48 7 1 35
> 1 49 6 1 36
> 2 1 3.6 0 62
> 2 2 3 0 58
> 2 3 5 0 68
> ...
> 2 48 5 0 75
> 2 49 2 0 70
> 3 ....
>
> Basically, a bulletin was introduced at month 37, we want to assess if
this
> bulletin had an effect on a particular drug prescription pattern (y).
> What we plan to do is to model y in terms of the dependant variables
based
> on the first 36 months, and then forecast (including a CI) on the last
13
> months. We will compare the forecast to the observed values.
> I have a report from another team who did quite the same type of
analysis.
> They used the PROC TSCSREG in SAS.
> The options were RANTWO: 2 random factors (time and MD), that's ok.
> And the Parks option which allows for a first-order autoregressive
term in
> the model, which we need has the autocorrelation is present.
> Time independant variables were introduced by stratified analysis and
not
> directly introduced in the model.
>
> Basically, I introduced in the model few explicative variables (number
of
> patients,... the month (1 to 36) for historical trend, and few dummy
> variables (january (1/0, february... november) for seasonnality
variations.
>
> I have several problems: the main one is the interpretation of the
> parameters: I have 2 axis: time and individual.
> For example:
> Do a positive parameter mean: MD's with a high level of this X tend to
have
> a high level of Y? is that true a any time?
> Or does is mean that: when X increases over time, so Y increases over
time.
> I am messed up with those 2 dimensions.
> I am interested in the evolution of Y along time, taking into account
> doctors' characteristics.
>
> My other problem is more technical: including the AR(1) term (the
> autocorrelation is often around 0.75 for each doctor), I easily get a
r^2 of
> 0.99, with very few variables in the model (Y is quite stationnary
over
> time). Does that means that Y is mainly explained by the
autocorrelation,
> and that any slightly correlated variable just finish to wrap the left
> variance up.
>
> I also have problem with the estimations: 1 computed matrix is
singular,
> and this matrix is used for estimations. It happens as the sample size
> increases. I cannot see how I will deal with that. i am supposed to
stratify
> the analyses per doctors characterictics (sex and university (and
age))., so
> it may be the way to get away with it.
>
> So, anyone has experience with such type of analyses? Some hints or
views to
> share?
>
> Thanks in advance,
>
> JP
>
> PS: we plan other analyses, not related to the bulletin impact, but
more on
> trends over the 49 months. Are the trends similar for the different
types of
> MD's.
> We are more interested in the trends rather than in the actual level
(at any
> time) for each group of MD's as the relation between mds'
characterictics
> and level of prescription are already known.
>
> PS2: does anyone know a good biostat/epidemiology newsgroup
>
>

Your question is quite interesting . We have done work in this regard
and you can look at some material on pooled cross-sectional time series
at http://www.autobox.com/t2a3.html

Detecting the significance of an event when you know the point of
intervention is a straighforward GLM application. However sometimes
the actual point of intervention is different from the "known
point" due to either pre-release effects or delay. AUTOBOX can
detect the presence of an intervention effect via residual
diagnostic checking ( http://www.autobox.com/t2b2.html and
http://www.autobox.com/t2b3.html and http://www.autobox.com/t2b4.html )

In my opinion you might be better served by visiting time series sites
and forecasting/modelling conferences as the problem you allude to
arises in different forms. If you wish me to help in specific I would be
glad to ( 215-675-0652 ) .

regards

Dave Reilly

Automatic Forecasting Systems

http://www.autobox.com


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