rescaling design matrix

rescaling design matrix

```Hi all,

I am attempting to run a simple  univariate "tree" model.

Asreml has put out a warning message : WARNING:  1 singularities in AI matrix.
The suggestion is then made  that the design matrix be rescaled.  I am a
little uncertain as to how this may be achieved.  Can this be done from within
asreml?  Any pointers in the right direction would be greatly appreciated.

.as file is as follows

Merridin  P95 tree analysis
tree !p
fem 25 !I
male
rep 20
prov 3 !a
oil

ellmer95.prn
ellmer95.prn

oil~ mu rep prov !r tree

relevent part of .asr  file is below:

ASREML [ 1 Jul 1999]  Merredin  P95 tree analysis

09 Mar 2000 11:49:27.360   8.00 Mbyte    C:\asreml\ellmer95.as
PEDIGREE [ellmer95.prn ] has     1303 identities,    2581 Non zero elements
Reading ellmer95.prn  FREE FORMAT skipping  0  lines
Univariate analysis of oil
Using     1278 records [of    1278 read from    1278 lines of ellmer95.prn
]
Model term      Size Type    COL   Minimum    Mean      Maximum   #zero #miss

1 tree         1303 Direct    1   2.000     663.9      1303.         0     0

2 fem           25 Factor    2      1    13.2574         25         0     0
3 male             1 Covariat  3  0.000      0.000      0.000      1278
0
4 rep            20 Factor    4      1    10.6729         20         0     0

5 prov            3 Factor    5      1     2.2926          3         0     0

6 oil             1 Variate   6 0.1000      2.653      5.900         0     0

Forming  1328  equations:  25  dense
Initial updates will be shrunk by factor    0.548
NOTICE:     2 (more) singularities,
LogL=-506.043     S2= 0.19031E-04   1256 df   0.5090E+05  1.000
LogL=-506.043     S2= 0.19019E-04   1256 df   0.5093E+05  1.000
Final parameter values                        50933.     1.0000
WARNING:  1 singularities in AI matrix.

Source                Model  terms     Gamma     Component    Comp/SE   % C
tree                   1303   1303   50933.5      0.968694      25.06   0 P
Variance               1278   1256   1.00000      0.190188E-04   0.00   0 S
WARNING: Code B - fixed at a boundary (!GP)
C - Constrained by user (!CON)
S - Singular Information matrix
S means there is no information in the data for this parameter.
Very small components with Comp/SE ratios of zero sometimes indicate poor
scaling.  Consider rescaling the design matrix in such cases

Analysis of Variance       DF     F-incr      F-adj  StndErrDiff
4 rep                    20      35.83       8.03  0.1515
5 prov                    2       6.99       6.99  0.2748

Solution       Standard Error    T-value     T-prev
5 prov
NB                     0.721356E-01   0.299888          0.24
WE                    -0.709678       0.295945         -2.40     -3.53
4 rep