The SAS System                              08:47 Tuesday, June 24, 2008   1

The Mixed Procedure

                  Model Information

Data Set                     WORK.BOND                
Dependent Variable           pres                     
Covariance Structure         Variance Components      
Estimation Method            Type 3                   
Residual Variance Method     Factor                   
Fixed Effects SE Method      Prasad-Rao-Jeske-        
                             Kackar-Harville          
Degrees of Freedom Method    Kenward-Roger            


             Class Level Information
 
Class    Levels    Values

ingot         7    1 2 3 4 5 6 7                 
metal         3    c i n                         


            Dimensions

Covariance Parameters             2
Columns in X                      4
Columns in Z                      7
Subjects                          1
Max Obs Per Subject              21


          Number of Observations

Number of Observations Read              21
Number of Observations Used              21
Number of Observations Not Used           0


                        Type 3 Analysis of Variance
 
                        Sum of
Source        DF       Squares   Mean Square  Expected Mean Square

metal          2    131.900952     65.950476  Var(Residual) + Q(metal)      
ingot          6    268.289524     44.714921  Var(Residual) + 3 Var(ingot)  
Residual      12    124.459048     10.371587  Var(Residual)                 

                       Type 3 Analysis of Variance
 
                                                 Error
Source    Error Term                                DF   F Value   Pr > F

metal     MS(Residual)                              12      6.36   0.0131
ingot     MS(Residual)                              12      4.31   0.0151
Residual  .                                          .       .      .    
The SAS System                              08:47 Tuesday, June 24, 2008   2

The Mixed Procedure

                      Covariance Parameter Estimates
 
                     Standard       Z
Cov Parm   Estimate     Error   Value      Pr Z   Alpha     Lower     Upper

ingot       11.4478    8.7204    1.31    0.1893    0.05   -5.6438   28.5394
Residual    10.3716    4.2342    2.45    0.0072    0.05    5.3332   28.2618


           Fit Statistics

-2 Res Log Likelihood           107.8
AIC (smaller is better)         111.8
AICC (smaller is better)        112.6
BIC (smaller is better)         111.7


        Type 3 Tests of Fixed Effects
 
              Num     Den
Effect         DF      DF    F Value    Pr > F

metal           2      12       6.36    0.0131