Nested Factorial Design                             1
                Factor A (MACHINE) : 3 Machine (A, B, C) fixed  
         Factor B (SPINDLE) : 2 Spindle for each machine (1, 2)  fixed
             Var (COMPNT) : 4 Components from each spindle random  

                      Obs    MACHINE    SPINDLE    COMPNT

                        1       A          1         12  
                        2       A          1          9  
                        3       A          1         11  
                        4       A          1         12  
                        5       A          2          8  
                        6       A          2          9  
                        7       A          2         10  
                        8       A          2          8  
                        9       B          1         14  
                       10       B          1         15  
                       11       B          1         13  
                       12       B          1         14  
                       13       B          2         12  
                       14       B          2         10  
                       15       B          2         11  
                       16       B          2         13  
                       17       C          1         14  
                       18       C          1         10  
                       19       C          1         12  
                       20       C          1         11  
                       21       C          2         16  
                       22       C          2         15  
                       23       C          2         15  
                       24       C          2         14  



                           Nested Factorial Design                             2
                Factor A (MACHINE) : 3 Machine (A, B, C) fixed  
         Factor B (SPINDLE) : 2 Spindle for each machine (1, 2)  fixed
             Var (COMPNT) : 4 Components from each spindle random  

-------------------------------------------------------------------------------
|                                   MACHINE                                   |
|-----------------------------------------------------------------------------|
|            A            |            B            |            C            |
|-------------------------+-------------------------+-------------------------|
|         SPINDLE         |         SPINDLE         |         SPINDLE         |
|-------------------------+-------------------------+-------------------------|
|     1      |     2      |     1      |     2      |     1      |     2      |
|------------+------------+------------+------------+------------+------------|
|COMPONENT (4|COMPONENT (4|COMPONENT (4|COMPONENT (4|COMPONENT (4|COMPONENT (4|
|REPLICATES) |REPLICATES) |REPLICATES) |REPLICATES) |REPLICATES) |REPLICATES) |
|------------+------------+------------+------------+------------+------------|
|   Y(IJ)    |   Y(IJ)    |   Y(IJ)    |   Y(IJ)    |   Y(IJ)    |   Y(IJ)    |
|------------+------------+------------+------------+------------+------------|
|       44.00|       35.00|       56.00|       46.00|       47.00|       60.00|
-------------------------------------------------------------------------------



                           Nested Factorial Design                             3
                Factor A (MACHINE) : 3 Machine (A, B, C) fixed  
         Factor B (SPINDLE) : 2 Spindle for each machine (1, 2)  fixed
             Var (COMPNT) : 4 Components from each spindle random  

                               The GLM Procedure

                            Class Level Information
 
                         Class         Levels    Values

                         MACHINE            3    A B C 

                         SPINDLE            2    1 2   


                          Number of observations    24



                           Nested Factorial Design                             4
                Factor A (MACHINE) : 3 Machine (A, B, C) fixed  
         Factor B (SPINDLE) : 2 Spindle for each machine (1, 2)  fixed
             Var (COMPNT) : 4 Components from each spindle random  

                               The GLM Procedure
 
Dependent Variable: COMPNT   

                                       Sum of
 Source                     DF        Squares    Mean Square   F Value   Pr > F

 Model                       5     99.5000000     19.9000000     13.52   <.0001

 Error                      18     26.5000000      1.4722222                   

 Corrected Total            23    126.0000000                                  


              R-Square     Coeff Var      Root MSE    COMPNT Mean

              0.789683      10.11126      1.213352       12.00000


 Source                     DF      Type I SS    Mean Square   F Value   Pr > F

 MACHINE                     2    55.75000000    27.87500000     18.93   <.0001
 SPINDLE(MACHINE)            3    43.75000000    14.58333333      9.91   0.0004


 Source                     DF    Type III SS    Mean Square   F Value   Pr > F

 MACHINE                     2    55.75000000    27.87500000     18.93   <.0001
 SPINDLE(MACHINE)            3    43.75000000    14.58333333      9.91   0.0004



                           Nested Factorial Design                             5
                Factor A (MACHINE) : 3 Machine (A, B, C) fixed
         Factor B (SPINDLE) : 2 Spindle for each machine (1, 2)  fixed
             Var (COMPNT) : 4 Components from each spindle random

            Plot of RESID*YHAT.  Legend: A = 1 obs, B = 2 obs, etc.

RESID |
      |
 2.25 +                               A
      |
 2.00 +
      |
 1.75 +
      |
 1.50 +                             A
      |
 1.25 + A
      |
 1.00 +                        B                             A         A
      |
 0.75 +
      |
 0.50 +                             A
      |
 0.25 + A                             A
      |
 0.00 +                        A                             B         B
      |
-0.25 +
      |
-0.50 +                             A
      |
-0.75 + B                             A
      |
-1.00 +                                                      A         A
      |
-1.25 +
      |
-1.50 +                             A
      |
-1.75 +                               A
      |
-2.00 +                        A
      |
      --+---------+---------+---------+---------+---------+---------+---------+-
      8.75      9.75      10.75     11.75     12.75     13.75     14.75    15.75

                                         YHAT



                           Nested Factorial Design                             6
                Factor A (MACHINE) : 3 Machine (A, B, C) fixed
         Factor B (SPINDLE) : 2 Spindle for each machine (1, 2)  fixed
             Var (COMPNT) : 4 Components from each spindle random

           Plot of NSCORE*RESID.  Legend: A = 1 obs, B = 2 obs, etc.

       |
       |
   2.0 +
       |                                                            A
       |
       |
       |
   1.5 +                                                 A
       |
       |
R      |                                              A
a      |
n  1.0 +                                          A
k      |
       |
f      |                                          C
o      |
r  0.5 +                                   A
       |
V      |                                B
a      |
r      |                            B
i  0.0 +
a      |
b      |                            C
l      |
e      |                     A
  -0.5 +
R      |                  C
E      |
S      |
I      |              A
D -1.0 +              A
       |
       |       A
       |
       |
  -1.5 +    A
       |
       |
       |
       |A
  -2.0 +
       |
       -+-------------+-------------+-------------+-------------+-------------+-
       -2            -1             0             1             2             3

                                         RESID