Hi all, 
I don't know if anyone has any thoughts on this. I have been trying to move
from SAS Proc Mixed to R nlme and have an unusual result.

I have several subjects measured at four timepoints. I want to model the
within-subject correlation using an autoregressive structure. I've attached
the R and SAS code I'm using along with the results from SAS.

With R lme I get an estimate of the autoregressive paramater phi =  
0.2782601, whereas SAS gives me an estimate of 0.3389

Intriguingly if I include a between subject factor or a covariate or delete
one of the observations, then the results appear to agree.

I'm suprised the seemingly simpler model if different between the two
packages whereas the more complex models agree.

Any ideas would be most welcome!
Simon


R Code:

library(nlme)
Response<-c(0.55,0.86,0.21,0.36,0.46,0.32,0.11,0.24,0.36,0.29,0.48,0.93,0.56,0.67,0.36,0.55,0.51,0.4,0.34,0.51,1,0.61,0.65,0.41,0.99,0.86,0.64,0.86,0.31,0.19,0.21,0.36,0.41,0.47,0.16,0.81,0.9,0.72,0.87,0.02)
Subject<-c(1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,5,5,5,5,6,6,6,6,7,7,7,7,8,8,8,8,9,9,9,9,10,10,10,10)
Day<-c(1,2,4,6,1,2,4,6,1,2,4,6,1,2,4,6,1,2,4,6,1,2,4,6,1,2,4,6,1,2,4,6,1,2,4,6,1,2,4,6)

sasdata<-data.frame(cbind(Response, Subject, Day))
sasdata$Time<-as.factor(sasdata$Day)

AR1<-lme(Response~Time, random=~1|Subject,
correlation=corAR1(form=~as.numeric(Time)|Subject, fixed =FALSE),
data=sasdata, na.action = (na.omit), method = "REML")
AR1


SAS Code:

proc mixed;
class Subject Day;
model Response = Day / outp=pout;
repeated Day / subject = Subject type=AR(1);
run;


SAS Results:


Model Information

Data Set        WORK.ALLDATA
Dependent Variable      Response
Covariance Structure    Autoregressive
Subject Effect  Subject
Estimation Method       REML
Residual Variance Method        Profile
Fixed Effects SE Method Model-Based
Degrees of Freedom Method       Between-Within


Class Level Information

Class   Levels  Values
Subject 10      1 10 2 3 4 5 6 7 8 9
Day     4       1 2 3 4


Dimensions

Covariance Parameters   2
Columns in X    5
Columns in Z    0
Subjects        10
Max Obs Per Subject     4


Number of Observations

Number of Observations Read     40
Number of Observations Used     40
Number of Observations Not Used 0


Iteration History

Iteration       Evaluations     -2 Res Log Like Criterion
0       1       14.67045653     
1       2       11.63168913     0.00000018
2       1       11.63168429     0.00000000


Convergence criteria met.



Covariance Parameter Estimates

Cov Parm        Subject Estimate
AR(1)   Animal1 0.3389
Residual                0.06862




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