From "Kieran McCaul" To Subject st: RE: Comparing change in rates - frustrating problem, please help Date Thu, 29 Jan 2004 14:28:00 +0800

```This is paired data.  Each person has two responses: their before and after
responses.

If you have one record per person and their seatbelt wearing is recorded as:
before no=0/yes=1
after  no=0/yes=1

and intervention group is coded
intervention no=0/yes=1

then you could use:
mcc after before if intervention == 1
mcc after before if intervention == 0

This will give you two tables that will estimate the odds ratio - the odds
of wearing a seatbelt after, versus the odds before.  So an odds ratio of 2
in the intervention group would mean that the odds of people in this group
wearing a seat-belt in the post-intervention period were twice the odds of
wearing a seat-belt in the pre-intervention period.

This won't give you a test between these two tables, however.

To do this, try the following, I think it will work.

Reshape the data do that each person now has two records: their 'before'
record and their 'after' record.  You'll need a variable to identify which
pair of records belong to the same person - personid.

Code the variables like this:

intervention no=0/yes=1
period       before=0/after=1
seatbelt     no=0/yes=1

Now run:

xi:clogit seatbelt i.intervention*i.period,group(personid)

you'll get:

beta(period) and beta(intervention*period)

no beta for intervention because it doesn't change for a person.

The p-value associated with the interaction term tests the hypothesis that
there is no difference in the period effects between the intervention
groups - i.e. changes in seat-belt wearing were the same in both groups.

If it is significant, however, then
the odds ratio in the non-intervention group will be exp(beta(period))
and in the intervention group it will be
exp(beta(period)+beta(intervention*period)).

These should be the same as you get using mcc above.

Kieran

> -----Original Message-----
> From: owner-statalist@hsphsun2.harvard.edu
> [mailto:owner-statalist@hsphsun2.harvard.edu]On Behalf Of Ricardo
> Ovaldia
> Sent: Thursday, 29 January 2004 5:21 AM
> To: statalist@hsphsun2.harvard.edu
> Subject: st: Comparing change in rates - frustrating problem, please
> help
>
>
> Dear Stata users,
>
> This is a basic stat question. In an intervention
> trial to increase seat belt use 328 adults were
> randomized to either a no intervention group(control)
> or an educational intervention. After a few months
> seat belt use. Here is the resulting data:
>
> Pecent seat belt use:
>  intervention    before     after
>          Yes        29%        58%
>           No        40%        52%
>
> The randomization was such that the baseline for the
> two groups was NOT the same. How can I correctly test
> if the intervention worked given that the baselines
> are different and there is a ceiling effect (i.e.
> percents can not exceed 100%).
>
> Thank you very much,
> Ricardo.
>
>
>
>
>
> =====
> Ricardo Ovaldia, MS
> Statistician
> Oklahoma City, OK
>
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```