rescaling design matrix
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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
 A-inverse retrieved from ainverse.bin
 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                 
    


thanks in advance

Richard
=======================================
Richard Mazanec
Dept of Conservation and Land Management
CALMScience Division
Brain street, Manjimup, 6258.
Phone +61 8 9771 7995    Fax +61 8 9777 1183
Email: richardm@calm.wa.gov.au
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