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Date:         Wed, 5 Nov 2003 12:01:19 -0600
Reply-To:     Thompson Bill T Contr USAFSAM/FEC <Bill.Thompson@BROOKS.AF.MIL>
Sender:       "SAS(r) Discussion" <SAS-L@LISTSERV.UGA.EDU>
From:         Thompson Bill T Contr USAFSAM/FEC <Bill.Thompson@BROOKS.AF.MIL>
Subject:      Re: Transforming data
Comments: To: Peter Flom <flom@NDRI.ORG>
Content-Type: text/plain; charset="iso-8859-1"

Peter,

Thanks again and your logic is reasonable. Indeed you describe the process accurately. I will give your ideas a go and let you know how it turned out.

Thanks again,

Bill

-----Original Message----- From: Peter Flom [mailto:flom@NDRI.ORG] Sent: Wednesday, November 05, 2003 11:09 AM To: SAS-L@LISTSERV.UGA.EDU Subject: Re: Transforming data

Bill

re transforming If the residuals are normally distributed, then there is no statistical reason to transform the dependent variable. There may be substantive reasons to do so, however. I know nothing about this substantive area, but there are certainly many physical traits where a log scale is more meaningful

re mixed model I'm not entirely sure I understand, but I think what you're saying is the design was something like

baseline (measure both eyes) surgery on eye number 1 followup #1 surgery on eye number 2 followup #2

If this is the case, then I think you DO need a mixed model. You also need to have some way of representing whether each eye had had surgery. How to do this is a substantive question, but one idea is to simply add a variable (for each eye, at each time) 'postsurgery'; if all the people eventually got surgery on both eyes, then you could eliminate the time variable.

This may not be ideal, but I do not see any way to avoid a mixed model; as I said, I don't know the substantive area, but I woud be amazed if there were not some effect of the PERSON as well as the EYE.

HTH

Peter

Peter L. Flom, PhD Assistant Director, Statistics and Data Analysis Core Center for Drug Use and HIV Research National Development and Research Institutes 71 W. 23rd St www.peterflom.com New York, NY 10010 (212) 845-4485 (voice) (917) 438-0894 (fax)

>>> Thompson Bill T Contr USAFSAM/FEC <Bill.Thompson@BROOKS.AF.MIL> 11/5/2003 11:55:46 AM >>> Peter,

You are correct in your assumptions and I will follow your lead regarding the residuals, skew and kurtosis. If the residuals are "normally" distributed would you suggest NOT transforming the data?

One issue that has come up regarding "eye" is that these are "fellow" eyes from the same person (humans). Since the results are "highly" correlated at baseline it was suggested we just pool the eyes and eliminate that variable. Unfortunately, subjects received surgery on one eye at a time with the possibility of several weeks between surgeries. As a result the followup data is not as highly correlated because of different surgical outcomes for different eyes. Hence, we are trying to decide if we should analyze each eye separately or use a mixed model.

Your thoughts.

Bill


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