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Date:         Thu, 6 Jul 2006 22:21:44 -0700
Reply-To:     David L Cassell <davidlcassell@MSN.COM>
Sender:       "SAS(r) Discussion" <SAS-L@LISTSERV.UGA.EDU>
From:         David L Cassell <davidlcassell@MSN.COM>
Subject:      Re: ARH(1) or SP(POW)
Comments: To: luciendiby@YAHOO.FR
In-Reply-To:  <200606261630.k5QAlPH0031279@malibu.cc.uga.edu>
Content-Type: text/plain; format=flowed

luciendiby@YAHOO.FR wrote: > >Dear all, > >I have data recorded unevenly (47, 107, 160 and 190 days) over time. >When looking for the best covariance structure, the ARH (1) structure >gives best result than the SP(POW) structure which is recommended for >unequally spaced data! Is this finding realistic? > >Thank in advance! > >Lucien

Yes, your finding is realistic. The SP(xxx) spatial structures are recommended for unequally spaced temporal data because *sometimes* the effect at time t decreases with time, in its effect on time t+1. It is entirely possible that this is not the case for your data.

It is also possible that one of the other SP(xxx) spatial covariance structures could fit the data better than the SP(POW), which does make a specific assumption about the behavior of these 'decreases with time' I mentioned above. It is also possible that the key factor is the 'H" in ARH(1), in that the variability from subject to subject that the ARH(1) structure addresses may be at least as significant as the temporal structure within subject, so the ARH(1) may only be doing a better job of describing the between-subject behavior than the SP(POW).

Either way, ARH(1) may be an effective description of the behavior of your data. Or you may want to plot the data out and see for yourself how the behavior looks, giving you new clues about the covariance structure.

HTH, David -- David L. Cassell mathematical statistician Design Pathways 3115 NW Norwood Pl. Corvallis OR 97330

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