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st: test for trend in r x c tables with clustering


From   "Sheena Sullivan" <[email protected]>
To   <[email protected]>
Subject   st: test for trend in r x c tables with clustering
Date   Mon, 4 Mar 2013 15:13:53 +1100

I have r x c data that look something like this
X	year	cluster
4	1	100
7      	6 	209
4      	1   	200
1	2	201
2	3	404
3	2	500

There are up to 7 categories of variable X, up to 6 years, and up to 500
clusters (that complete dataset is around 250,000 observations).

I want to be able to test for trend across years.  I found some very helpful
guidance from William Sribney on the Stata website at
http://www.stata.com/support/faqs/statistics/test-for-trend/

There, he suggests using -regress- to obtain a p-value for a test of trend.
However, I'm unsure whether it is appropriate to take this guidance one step
further and use -xtmixed- to obtain cluster-adjusted estimates for trend.
If I understand correctly, I can test for trend without clustering using
-regress- (even though X is categorical, not continuous):

. regress X year

To account for clustering, with -xtmixed-  this would change to:

. xtmixed X year || cluster

I presume then that the p-value for the model (i.e. Prob > chi2) is for the
trend across years, with standard errors adjusted for clustering.  

Could someone please advise whether this is a sensible approach?  

I am using Stata 12 on Windows 7.

Kind regards
Sheena 

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