The original book output3.17              17:45 Saturday, July 12, 2008   1

The Mixed Procedure

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

loc              3           29783     9927.777778
fam              4           10130     2532.441667
loc*fam         12     3317.166667      276.430556
block(loc)       8     3987.600000      498.450000
Residual        32     1659.066667       51.845833

                        Type 3 Analysis of Variance
 
Source      Expected Mean Square

loc         Var(Residual) + 5 Var(block(loc)) + 3 Var(loc*fam) + 15 Var(loc)
fam         Var(Residual) + 3 Var(loc*fam) + 12 Var(fam)                    
loc*fam     Var(Residual) + 3 Var(loc*fam)                                  
block(loc)  Var(Residual) + 5 Var(block(loc))                               
Residual    Var(Residual)                                                   

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

loc         MS(loc*fam) + MS(block(loc))             13.938    13.73  0.0002
            - MS(Residual)                                                  
fam         MS(loc*fam)                                  12     9.16  0.0012
loc*fam     MS(Residual)                                 32     5.33  <.0001
block(loc)  MS(Residual)                                 32     9.61  <.0001
Residual    .                                             .      .     .    


 Covariance Parameter
       Estimates
 
Cov Parm       Estimate

loc              613.65
fam              188.00
loc*fam         74.8616
block(loc)      89.3208
Residual        51.8458
 When loaction and family are fixed effects                                2
                                               17:45 Saturday, July 12, 2008

The Mixed Procedure

                  Model Information

Data Set                     WORK.E_3_5               
Dependent Variable           Yield                    
Covariance Structure         Variance Components      
Estimation Method            Type 3                   
Residual Variance Method     Factor                   
Fixed Effects SE Method      Model-Based              
Degrees of Freedom Method    Containment              


             Class Level Information
 
Class    Levels    Values

loc           4    1 2 3 4                       
fam           5    1 2 3 4 5                     
block         3    1 2 3                         


            Dimensions

Covariance Parameters             2
Columns in X                     30
Columns in Z                     12
Subjects                          1
Max Obs Per Subject              60


          Number of Observations

Number of Observations Read              60
Number of Observations Used              60
Number of Observations Not Used           0


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

loc              3           29783     9927.777778
fam              4           10130     2532.441667
loc*fam         12     3317.166667      276.430556
block(loc)       8     3987.600000      498.450000
Residual        32     1659.066667       51.845833

                        Type 3 Analysis of Variance
 
                                                                      Error
Source      Expected Mean Square                   Error Term            DF

loc         Var(Residual) + 5 Var(block(loc))      MS(block(loc))         8
            + Q(loc,loc*fam)                                               
fam         Var(Residual) + Q(fam,loc*fam)         MS(Residual)          32
 When loaction and family are fixed effects                                3
                                               17:45 Saturday, July 12, 2008

The Mixed Procedure

                        Type 3 Analysis of Variance
 
                                                                      Error
Source      Expected Mean Square                   Error Term            DF

loc*fam     Var(Residual) + Q(loc*fam)             MS(Residual)          32
block(loc)  Var(Residual) + 5 Var(block(loc))      MS(Residual)          32
Residual    Var(Residual)                          .                      .

 Type 3 Analysis of Variance
 
Source      F Value    Pr > F

loc           19.92    0.0005
fam           48.85    <.0001
loc*fam        5.33    <.0001
block(loc)     9.61    <.0001
Residual        .       .    


 Covariance Parameter
       Estimates
 
Cov Parm       Estimate

block(loc)      89.3208
Residual        51.8458


           Fit Statistics

-2 Res Log Likelihood           311.5
AIC (smaller is better)         315.5
AICC (smaller is better)        315.8
BIC (smaller is better)         316.5


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

loc             3       8      19.92    0.0005
fam             4      32      48.85    <.0001
loc*fam        12      32       5.33    <.0001