The mathematics behind the multivariate version of the chi-square test of linear trend

classic Classic list List threaded Threaded
1 message Options
Reply | Threaded
Open this post in threaded view
|

The mathematics behind the multivariate version of the chi-square test of linear trend

Margaret MacDougall
Hello


Recently I posted a message to ask whether it is possible to run a chi-square test of linear trend in conjunction with a logistic regression analysis (and hence so as to control for confounding factors). I was provided with the following code (within which LevelOfExposure is the name of my independent variable):
   use  /CONTRAST (LevelOfExposure)=Polynomial

and the following advice on this code

"It will decompose LevelOfExposure in k-1 (k:Nr. of levels) variables.

The first one will test the linear trend, the second one the quadratic

term, and so on."



Whilst I am grateful to have received this info, it would also be most useful

if someone would kindly point me to any literature which explains this version of the

chi-square test for linear trend in detail.  Also, I would be interested to

learn whether it would be equally appropriate to run such code in

conjunction with a Cox regression analysis so as to perform a chi-square test

of linear trend for mortality (with controlling for confounding).



As I am not  familiar with the above code, it seems far

from obvious to me why it would in and of itself

control for the other factors in the model. Some advice here

would also be valuable.



Many thanks in advance for this assistance.



Regards



Margaret




---------------------------------
 All new Yahoo! Mail "The new Interface is stunning in its simplicity and ease of use." - PC Magazine