Hi al,

I have a dataset (see attached), which basically involves 4 treatments for a 
chemotherapy drug. Samples were taken from 2 biopsy locations, and biopsy were 
taken at 2 time points. So each subject has 4 data points (from 2 biopsy 
locations and 2 time points). The objective is to study treatment difference. 

I used lme to fit a mixed model that uses "biopsy.site nested within pid" as a 
random term, and used corAR1() as the correlation structure for between the 2 
time points:


library(nlme)

test<-read.table("test.txt",sep='\t',header=T,row.names=1)
fit<-lme(y~age + time * trt, random=~1|pid/biopsy.site, data = test, 
correlation=corAR1())

First, by above model specification, corAR1() is used for the correlation 
between the 2 time points; what is the correlation structure implicitly used 
for between biopsy locations? How do I specify a particular correlation 
structure for between biopsy locations in this situation?

Second, does anyone know how to write the above mixed model in SAS? One of my 
colleagues wrote the following, but it gave me different results:

proc mixed data=test;

class time trt pid biopsysite;
model y=age time trt time*trt;
random biopsysite
repeated pid / type=ar(1)
run;

Is there anyone familiar with SAS and know if the above SAS code does what the 
R code does?

Many thanks

John
X       pid     trt     time    biopsy.site     y       age
1       P8      B       DAY 4   S2      0.748   62
2       P8      B       DAY 4   S1      0.086   62
3       P8      B       DAY 8   S2      0.09    62
4       P8      B       DAY 8   S1      0.076   62
5       P13     B       DAY 4   S1      -0.296  74
6       P13     B       DAY 4   S2      -0.079  74
7       P13     B       DAY 8   S1      -0.097  74
8       P13     B       DAY 8   S2      0.135   74
9       P27     B       DAY 4   S1      -0.128  82
10      P27     B       DAY 4   S2      -0.401  82
11      P27     B       DAY 8   S1      -0.01   82
12      P27     B       DAY 8   S2      -0.249  82
13      P29     B       DAY 4   S1      -0.45   51
14      P29     B       DAY 4   S2      -0.086  51
15      P29     B       DAY 8   S1      -0.407  51
16      P29     B       DAY 8   S2      0.136   51
17      P9      C       DAY 4   S2      0.789   53
18      P9      C       DAY 4   S1      1.021   53
19      P9      C       DAY 8   S2      0.29    53
20      P18     C       DAY 4   S2      0.007   63
21      P18     C       DAY 4   S1      0.053   63
22      P19     C       DAY 4   S1      -0.048  63
23      P19     C       DAY 4   S2      -0.121  63
24      P22     C       DAY 4   S1      0.357   54
25      P22     C       DAY 4   S2      0.407   54
26      P22     C       DAY 8   S1      -0.171  54
27      P22     C       DAY 8   S2      -0.038  54
28      P25     C       DAY 4   S2      0.01    67
29      P25     C       DAY 4   S1      0.102   67
30      P25     C       DAY 8   S2      0.007   67
31      P25     C       DAY 8   S1      0.09    67
32      P30     C       DAY 4   S2      0.225   73
33      P30     C       DAY 4   S1      0.018   73
34      P30     C       DAY 8   S2      0.038   73
35      P30     C       DAY 8   S1      -0.032  73
36      P33     C       DAY 4   S2      -0.224  29
37      P33     C       DAY 4   S1      0.122   29
38      P33     C       DAY 8   S2      -0.346  29
39      P33     C       DAY 8   S1      -0.161  29
40      P39     C       DAY 4   S2      -0.005  70
41      P39     C       DAY 4   S1      0.053   70
42      P39     C       DAY 8   S2      -0.061  70
43      P39     C       DAY 8   S1      0.016   70
44      P40     C       DAY 4   S2      0.083   67
45      P40     C       DAY 4   S1      0.13    67
46      P40     C       DAY 8   S2      0.397   67
47      P40     C       DAY 8   S1      0.388   67
48      P1      D       DAY 4   S2      -0.195  57
49      P1      D       DAY 4   S1      -0.267  57
50      P1      D       DAY 8   S2      -0.042  57
51      P1      D       DAY 8   S1      -0.255  57
52      P3      D       DAY 4   S2      -0.312  39
53      P3      D       DAY 4   S1      -0.338  39
54      P7      D       DAY 4   S2      -0.216  61
55      P7      D       DAY 4   S1      0.34    61
56      P7      D       DAY 8   S2      -0.196  61
57      P7      D       DAY 8   S1      -0.349  61
58      P10     D       DAY 4   S2      0.108   57
59      P10     D       DAY 4   S1      -0.073  57
60      P10     D       DAY 8   S2      0.382   57
61      P10     D       DAY 8   S1      0.461   57
62      P14     D       DAY 4   S2      -0.003  71
63      P14     D       DAY 4   S1      -0.156  71
64      P14     D       DAY 8   S2      0.222   71
65      P14     D       DAY 8   S1      0.016   71
66      P15     D       DAY 4   S2      0.282   62
67      P15     D       DAY 4   S1      0.463   62
68      P15     D       DAY 8   S2      0.03    62
69      P15     D       DAY 8   S1      0.42    62
70      P24     D       DAY 4   S2      -0.345  72
71      P24     D       DAY 4   S1      -0.2    72
72      P24     D       DAY 8   S2      -0.285  72
73      P24     D       DAY 8   S1      -0.059  72
74      P26     D       DAY 4   S2      0.052   50
75      P26     D       DAY 4   S1      0.256   50
76      P26     D       DAY 8   S2      0.321   50
77      P26     D       DAY 8   S1      0.197   50
78      P31     D       DAY 4   S2      0.36    27
79      P31     D       DAY 4   S1      0.108   27
80      P31     D       DAY 8   S2      0.214   27
81      P31     D       DAY 8   S1      0.012   27
82      P32     D       DAY 4   S2      0.12    71
83      P32     D       DAY 4   S1      0.033   71
84      P32     D       DAY 8   S2      0.092   71
85      P32     D       DAY 8   S1      -0.327  71
86      P36     D       DAY 4   S1      0.059   40
87      P36     D       DAY 4   S2      -0.046  40
88      P36     D       DAY 8   S1      -0.22   40
89      P36     D       DAY 8   S2      -0.175  40
90      P42     D       DAY 4   S2      -0.116  67
91      P42     D       DAY 4   S1      0.144   67
92      P42     D       DAY 8   S2      -0.047  67
93      P42     D       DAY 8   S1      0.342   67
130     P2      A       DAY 4   S1      -0.122  49
131     P2      A       DAY 4   S2      -0.442  49
132     P2      A       DAY 8   S1      0.229   49
133     P2      A       DAY 8   S2      -0.007  49
134     P4      A       DAY 4   S2      -0.162  47
135     P4      A       DAY 4   S1      -0.187  47
136     P4      A       DAY 8   S2      -0.365  47
137     P4      A       DAY 8   S1      -0.085  47
138     P5      A       DAY 4   S2      0.004   70
139     P5      A       DAY 4   S1      0.065   70
140     P5      A       DAY 8   S2      -0.188  70
141     P5      A       DAY 8   S1      -0.427  70
142     P6      A       DAY 4   S1      0.14    38
143     P17     A       DAY 4   S2      0.379   79
144     P17     A       DAY 4   S1      0.117   79
145     P17     A       DAY 8   S2      0.233   79
146     P17     A       DAY 8   S1      0.13    79
147     P23     A       DAY 4   S2      -0.266  45
148     P23     A       DAY 4   S1      -0.286  45
149     P23     A       DAY 8   S2      0.311   45
150     P23     A       DAY 8   S1      0.283   45
151     P37     A       DAY 4   S2      0.085   33
152     P37     A       DAY 4   S1      -0.167  33
153     P37     A       DAY 8   S2      0.361   33
154     P37     A       DAY 8   S1      -0.096  33
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