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ANCOVA with one level of nesting

To: jmp-l@lists.biostat.wustl.edu
Subject: ANCOVA with one level of nesting
From: Gareth Russell <russell@njit.edu>
Date: Thu, 4 May 2006 11:48:15 -0400
Hi Everyone,

I have the following data: Species is a nominal main effect, Sample is a nominal random effect nested within Species, Time is a continuous predictor variable, and Absorbance is a continuous Y variable. In other words, within each Sample there are data for a single linear regression.

I am interested in the slopes of the regressions, and whether they vary between Samples, and between Species. I'm not actually interested in the intercepts per se, although these are bound to vary as well

So this is an analysis of covariance with one level of nesting. The basic ANCOVA is covered in the Help Guide, but not a version with nesting. My question is how to code the model. I need to allow the slopes to vary across samples (and obviously across species). As I understand it, the test for whether slopes differ across a nominal effect is the test for the crossed effect of the X predictor of the regression and the nominal effect. But I don't now how to do this in the nested example. Do I cross Time with Sample and Time with Species, or Time with Sample[Species] and Time with Species? Right now I have

Species
Sample[Species]
Time
Time*Sample[Species]
Time*Species

Can I add a triple cross? How does that work with the nesting? Or am I on the wrong track altogether?

Thanks,

Gareth

=====================================================================
Gareth J. Russell

Department of Mathematical Sciences (Division of Biological Sciences)
New Jersey Institute of Technology

Department of Biological Sciences
Rutgers University

 Phones: (973) 642-4299 (NJIT)
         (973) 353-1429 (Rutgers)
    Fax: (973) 596-5591

E-mails: russell@njit.edu
         grussell@andromeda.rutgers.edu

    WWW: http://web.njit.edu/~russell
=====================================================================




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