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Date:   Wed, 11 Jul 2007 10:25:21 -0500
Reply-To:   "Swank, Paul R" <Paul.R.Swank@uth.tmc.edu>
Sender:   "SPSSX(r) Discussion" <SPSSX-L@LISTSERV.UGA.EDU>
From:   "Swank, Paul R" <Paul.R.Swank@uth.tmc.edu>
Subject:   Re: Weight loss study.Mixed linear model. Help appreciated
Comments:   To: Erik Langer Madsen <erik.langer@KI.AU.DK>
In-Reply-To:   <200707111159.l6BApm0G013632@mailgw.cc.uga.edu>
Content-Type:   text/plain; charset="us-ascii"

Unfortunately, I don't use SPSS mixed to do my mixed models analyses but I can tell you that the AR(1) structure is probably okay here. You can test it but running a model that doesn't include any predictors other than time and then comparing the variance covariance structure's impact on fit. Once you have settled on the best var-cov structure, then youcan test your hypothese about the fixed effects. How many hosptitals do you have in the sample? If the number is small, say less than 20-30, then you may not have enough variance in the hospitals to include it as a random effect.

Usually, you only need to specify one level of the model as random. The residual will represent the other effect.

Paul R. Swank, Ph.D. Professor Director of Reseach Children's Learning Institute University of Texas Health Science Center-Houston

-----Original Message----- From: SPSSX(r) Discussion [mailto:SPSSX-L@LISTSERV.UGA.EDU] On Behalf Of Erik Langer Madsen Sent: Wednesday, July 11, 2007 6:59 AM To: SPSSX-L@LISTSERV.UGA.EDU Subject: Weight loss study.Mixed linear model. Help appreciated

I am currently investigating a dataset including 68 subjects originating from 3 different hospitals, who's had measured various parameters including bodyweight at 5 different timepoints during a three year weight loss study. The subjects can be characterized by different between subjects factors: Gender: m/f, Diabetes: yes/no, treatment: active/placebo and covariates such as age. Given that the data are correlated (repeated measurements) and that some of the parameters that I wish to analyze have missing values for some individuals I'd prefer using the mixed linear model but I'm troubled by various outputs with different p-values depending on how many fixed factors I add and which covariance structure I use.

At present I use the ar1 covariance structure and time, gender, diabetes and treatment as fixed factors. Including interactions between time and the other fixed factors. 1. The AR1 structure seems to be my best choice given that the correlation should be stronger regarding timepoints closer to each other. But does anyone have arguments for choosing unstructured or compound symmetry instead? 2.I ought to add hospital as a random factor but then I get a non positive hessian matrix. Any explanation for this problem or suggestions for a solution would be appreciated. 3. Should I add subject (individuals) as a random factor under variance components? 4. When gradually increasing the number of fixed factors into the model then the p-values for levels and changes seems to differ a lot. How should I test the validity of the model (Wald ? Overlapping of confidence intervals?

Best regards Erik Langer Madsen erik.langer@ki.au.dk Phd-student Aarhus Denmark


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