Output from repm6.sas	Source 0 Graphs

               Repeated measures: Balanced vs. Unbalanced data               1

                       General Linear Models Procedure
                           Class Level Information

                          Class    Levels    Values

                          A             2    1 2

                          B             2    1 2


                   Number of observations in data set = 12

               Repeated measures: Balanced vs. Unbalanced data               2

                       General Linear Models Procedure
                    Repeated Measures Analysis of Variance
                     Repeated Measures Level Information

           Dependent Variable         T1       T2       T3       T4

              Level of TRIALS          1        2        3        4



               Manova Test Criteria and Exact F Statistics for
                      the Hypothesis of no TRIALS Effect
        H = Type III SS&CP Matrix for TRIALS   E = Error SS&CP Matrix

                             S=1    M=0.5    N=2

 Statistic                     Value          F      Num DF    Den DF  Pr > F

 Wilks' Lambda              0.01542181   127.6864         3         6  0.0001
 Pillai's Trace             0.98457819   127.6864         3         6  0.0001
 Hotelling-Lawley Trace    63.84321632   127.6864         3         6  0.0001
 Roy's Greatest Root       63.84321632   127.6864         3         6  0.0001

               Manova Test Criteria and Exact F Statistics for
                     the Hypothesis of no TRIALS*A Effect
       H = Type III SS&CP Matrix for TRIALS*A   E = Error SS&CP Matrix

                             S=1    M=0.5    N=2

 Statistic                     Value          F      Num DF    Den DF  Pr > F

 Wilks' Lambda              0.24441969     6.1826         3         6  0.0289
 Pillai's Trace             0.75558031     6.1826         3         6  0.0289
 Hotelling-Lawley Trace     3.09132348     6.1826         3         6  0.0289
 Roy's Greatest Root        3.09132348     6.1826         3         6  0.0289

               Manova Test Criteria and Exact F Statistics for
                     the Hypothesis of no TRIALS*B Effect
       H = Type III SS&CP Matrix for TRIALS*B   E = Error SS&CP Matrix

                             S=1    M=0.5    N=2

 Statistic                     Value          F      Num DF    Den DF  Pr > F

 Wilks' Lambda              0.36059729     3.5464         3         6  0.0875
 Pillai's Trace             0.63940271     3.5464         3         6  0.0875
 Hotelling-Lawley Trace     1.77317668     3.5464         3         6  0.0875
 Roy's Greatest Root        1.77317668     3.5464         3         6  0.0875

               Repeated measures: Balanced vs. Unbalanced data               3

                       General Linear Models Procedure
                    Repeated Measures Analysis of Variance

               Manova Test Criteria and Exact F Statistics for
                    the Hypothesis of no TRIALS*A*B Effect
      H = Type III SS&CP Matrix for TRIALS*A*B   E = Error SS&CP Matrix

                             S=1    M=0.5    N=2

 Statistic                     Value          F      Num DF    Den DF  Pr > F

 Wilks' Lambda              0.32790819     4.0993         3         6  0.0669
 Pillai's Trace             0.67209181     4.0993         3         6  0.0669
 Hotelling-Lawley Trace     2.04963411     4.0993         3         6  0.0669
 Roy's Greatest Root        2.04963411     4.0993         3         6  0.0669

               Repeated measures: Balanced vs. Unbalanced data               4

                       General Linear Models Procedure
                    Repeated Measures Analysis of Variance
               Tests of Hypotheses for Between Subjects Effects

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

A                        1      10.0833333     10.0833333      0.98     0.3517
B                        1       8.3333333      8.3333333      0.81     0.3949
A*B                      1      80.0833333     80.0833333      7.77     0.0237

Error                    8      82.5000000     10.3125000

               Repeated measures: Balanced vs. Unbalanced data               5

                       General Linear Models Procedure
                    Repeated Measures Analysis of Variance
          Univariate Tests of Hypotheses for Within Subject Effects

Source: TRIALS
                                                                 Adj  Pr > F
     DF      Type III SS      Mean Square   F Value   Pr > F    G - G    H - F

      3     991.50000000     330.50000000    152.05   0.0001   0.0001   0.0001

Source: TRIALS*A
                                                                 Adj  Pr > F
     DF      Type III SS      Mean Square   F Value   Pr > F    G - G    H - F

      3       8.41666667       2.80555556      1.29   0.3003   0.3002   0.3015

Source: TRIALS*B
                                                                 Adj  Pr > F
     DF      Type III SS      Mean Square   F Value   Pr > F    G - G    H - F

      3      12.16666667       4.05555556      1.87   0.1624   0.1967   0.1693

Source: TRIALS*A*B
                                                                 Adj  Pr > F
     DF      Type III SS      Mean Square   F Value   Pr > F    G - G    H - F

      3      12.75000000       4.25000000      1.96   0.1477   0.1847   0.1550

Source: Error(TRIALS)

     DF      Type III SS      Mean Square

     24      52.16666667       2.17361111

                     Greenhouse-Geisser Epsilon = 0.5361
                            Huynh-Feldt Epsilon = 0.9023

               Repeated measures: Balanced vs. Unbalanced data               6

                       General Linear Models Procedure
                    Repeated Measures Analysis of Variance
                  Analysis of Variance of Contrast Variables

      TRIALS.N represents the nth degree polynomial contrast for TRIALS

Contrast Variable: TRIALS.1

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

MEAN                     1    984.15000000   984.15000000    247.84     0.0001
A                        1      1.66666667     1.66666667      0.42     0.5352
B                        1     10.41666667    10.41666667      2.62     0.1440
A*B                      1      9.60000000     9.60000000      2.42     0.1586

Error                    8     31.76666667     3.97083333

Contrast Variable: TRIALS.2

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

MEAN                     1      6.75000000     6.75000000      3.41     0.1020
A                        1      3.00000000     3.00000000      1.52     0.2532
B                        1      0.08333333     0.08333333      0.04     0.8425
A*B                      1      0.33333333     0.33333333      0.17     0.6923

Error                    8     15.83333333     1.97916667

Contrast Variable: TRIALS.3

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

MEAN                     1      0.60000000     0.60000000      1.05     0.3353
A                        1      3.75000000     3.75000000      6.57     0.0335
B                        1      1.66666667     1.66666667      2.92     0.1259
A*B                      1      2.81666667     2.81666667      4.93     0.0571

Error                    8      4.56666667     0.57083333

                           completely balanced data                          7

                       General Linear Models Procedure
                           Class Level Information

                Class    Levels    Values

                A             2    1 2

                B             2    1 2

                SUBJ         12    1 2 3 4 5 6 7 8 9 10 11 12

                C             4    1 2 3 4


                   Number of observations in data set = 48

                           completely balanced data                          8

                       General Linear Models Procedure

Dependent Variable: RESPONSE
                                    Sum of           Mean
Source                  DF         Squares         Square   F Value     Pr > F

Model                   23     1205.833333      52.427536     24.12     0.0001

Error                   24       52.166667       2.173611

Corrected Total         47     1258.000000

                  R-Square            C.V.       Root MSE        RESPONSE Mean

                  0.958532        14.74317       1.474317             10.00000

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

A                        1      10.0833333     10.0833333      4.64     0.0415
B                        1       8.3333333      8.3333333      3.83     0.0620
A*B                      1      80.0833333     80.0833333     36.84     0.0001
SUBJ(A*B)                8      82.5000000     10.3125000      4.74     0.0014
C                        3     991.5000000    330.5000000    152.05     0.0001
A*C                      3       8.4166667      2.8055556      1.29     0.3003
B*C                      3      12.1666667      4.0555556      1.87     0.1624
A*B*C                    3      12.7500000      4.2500000      1.96     0.1477

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

A                        1      10.0833333     10.0833333      4.64     0.0415
B                        1       8.3333333      8.3333333      3.83     0.0620
A*B                      1      80.0833333     80.0833333     36.84     0.0001
SUBJ(A*B)                8      82.5000000     10.3125000      4.74     0.0014
C                        3     991.5000000    330.5000000    152.05     0.0001
A*C                      3       8.4166667      2.8055556      1.29     0.3003
B*C                      3      12.1666667      4.0555556      1.87     0.1624
A*B*C                    3      12.7500000      4.2500000      1.96     0.1477

                           completely balanced data                          9

                       General Linear Models Procedure

Source      Type III Expected Mean Square

A           Var(Error) + 4 Var(SUBJ(A*B)) + Q(A,A*B,A*C,A*B*C)

B           Var(Error) + 4 Var(SUBJ(A*B)) + Q(B,A*B,B*C,A*B*C)

A*B         Var(Error) + 4 Var(SUBJ(A*B)) + Q(A*B,A*B*C)

SUBJ(A*B)   Var(Error) + 4 Var(SUBJ(A*B))

C           Var(Error) + Q(C,A*C,B*C,A*B*C)

A*C         Var(Error) + Q(A*C,A*B*C)

B*C         Var(Error) + Q(B*C,A*B*C)

A*B*C       Var(Error) + Q(A*B*C)

                           completely balanced data                         10

                       General Linear Models Procedure

Dependent Variable: RESPONSE

Tests of Hypotheses using the Type III MS for SUBJ(A*B) as an error term

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

A                        1     10.08333333    10.08333333      0.98     0.3517
B                        1      8.33333333     8.33333333      0.81     0.3949
A*B                      1     80.08333333    80.08333333      7.77     0.0237

                  AMONG SUBJECTS (WHOLE PLOT) IS UNBALANCED                 11

                       General Linear Models Procedure
                           Class Level Information

                 Class    Levels    Values

                 A             2    1 2

                 B             2    1 2

                 SUBJ         11    2 3 4 5 6 7 8 9 10 11 12

                 C             4    1 2 3 4


                   Number of observations in data set = 44

                  AMONG SUBJECTS (WHOLE PLOT) IS UNBALANCED                 12

                       General Linear Models Procedure

Dependent Variable: RESPONSE
                                    Sum of           Mean
Source                  DF         Squares         Square   F Value     Pr > F

Model                   22     1107.685606      50.349346     22.01     0.0001

Error                   21       48.041667       2.287698

Corrected Total         43     1155.727273

                  R-Square            C.V.       Root MSE        RESPONSE Mean

                  0.958432        15.47689       1.512514             9.772727

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

A                        1      24.8189394     24.8189394     10.85     0.0035
B                        1      27.0750000     27.0750000     11.84     0.0025
A*B                      1      45.3750000     45.3750000     19.83     0.0002
SUBJ(A*B)                7      56.4583333      8.0654762      3.53     0.0116
C                        3     921.5454545    307.1818182    134.28     0.0001
A*C                      3       6.6628788      2.2209596      0.97     0.4251
B*C                      3      15.9212963      5.3070988      2.32     0.1046
A*B*C                    3       9.8287037      3.2762346      1.43     0.2616

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

A                        1      30.0000000     30.0000000     13.11     0.0016
B                        1      27.0750000     27.0750000     11.84     0.0025
A*B                      1      45.3750000     45.3750000     19.83     0.0002
SUBJ(A*B)                7      56.4583333      8.0654762      3.53     0.0116
C                        3     921.5454545    307.1818182    134.28     0.0001
A*C                      3       8.0962963      2.6987654      1.18     0.3413
B*C                      3      15.9212963      5.3070988      2.32     0.1046
A*B*C                    3       9.8287037      3.2762346      1.43     0.2616

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

A                        1      23.8133260     23.8133260     10.41     0.0040
B                        1      21.2247797     21.2247797      9.28     0.0061
A*B                      1      45.3750000     45.3750000     19.83     0.0002
SUBJ(A*B)                7      56.4583333      8.0654762      3.53     0.0116
C                        3     907.1250000    302.3750000    132.17     0.0001
A*C                      3       6.3472222      2.1157407      0.92     0.4460
B*C                      3      13.2731481      4.4243827      1.93     0.1550
A*B*C                    3       9.8287037      3.2762346      1.43     0.2616

                  AMONG SUBJECTS (WHOLE PLOT) IS UNBALANCED                 13

                       General Linear Models Procedure

Dependent Variable: RESPONSE

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

A                        1      35.6887066     35.6887066     15.60     0.0007
B                        1      34.1893501     34.1893501     14.94     0.0009
A*B                      1      45.3750000     45.3750000     19.83     0.0002
SUBJ(A*B)                7      56.4583333      8.0654762      3.53     0.0116
C                        3     907.1250000    302.3750000    132.17     0.0001
A*C                      3       6.3472222      2.1157407      0.92     0.4460
B*C                      3      13.2731481      4.4243827      1.93     0.1550
A*B*C                    3       9.8287037      3.2762346      1.43     0.2616

                  AMONG SUBJECTS (WHOLE PLOT) IS UNBALANCED                 14

                       General Linear Models Procedure

Source      Type III Expected Mean Square

A           Var(Error) + 4 Var(SUBJ(A*B)) + Q(A,A*B,A*C,A*B*C)

B           Var(Error) + 4 Var(SUBJ(A*B)) + Q(B,A*B,B*C,A*B*C)

A*B         Var(Error) + 4 Var(SUBJ(A*B)) + Q(A*B,A*B*C)

SUBJ(A*B)   Var(Error) + 4 Var(SUBJ(A*B))

C           Var(Error) + Q(C,A*C,B*C,A*B*C)

A*C         Var(Error) + Q(A*C,A*B*C)

B*C         Var(Error) + Q(B*C,A*B*C)

A*B*C       Var(Error) + Q(A*B*C)

Source      Type IV Expected Mean Square

A           Var(Error) + 3.583 Var(SUBJ(A*B)) + Q(A,A*B,A*C,A*B*C)

B           Var(Error) + 3.583 Var(SUBJ(A*B)) + Q(B,A*B,B*C,A*B*C)

A*B         Var(Error) + 4 Var(SUBJ(A*B)) + Q(A*B,A*B*C)

SUBJ(A*B)   Var(Error) + 4 Var(SUBJ(A*B))

C           Var(Error) + Q(C,A*C,B*C,A*B*C)

A*C         Var(Error) + Q(A*C,A*B*C)

B*C         Var(Error) + Q(B*C,A*B*C)

A*B*C       Var(Error) + Q(A*B*C)

                  AMONG SUBJECTS (WHOLE PLOT) IS UNBALANCED                 15

                       General Linear Models Procedure

Dependent Variable: RESPONSE

Tests of Hypotheses using the Type I MS for SUBJ(A*B) as an error term

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

A                        1     24.81893939    24.81893939      3.08     0.1228
B                        1     27.07500000    27.07500000      3.36     0.1096
A*B                      1     45.37500000    45.37500000      5.63     0.0495

                UNBALANCED WITHIN REPEATED MEASURES (SUBPLOT)               16

                       General Linear Models Procedure
                           Class Level Information

                Class    Levels    Values

                A             2    1 2

                B             2    1 2

                SUBJ         12    1 2 3 4 5 6 7 8 9 10 11 12

                C             4    1 2 3 4


                   Number of observations in data set = 47

                UNBALANCED WITHIN REPEATED MEASURES (SUBPLOT)               17

                       General Linear Models Procedure

Dependent Variable: RESPONSE
                                    Sum of           Mean
Source                  DF         Squares         Square   F Value     Pr > F

Model                   23     1142.818853      49.687776     22.94     0.0001

Error                   23       49.819444       2.166063

Corrected Total         46     1192.638298

                  R-Square            C.V.       Root MSE        RESPONSE Mean

                  0.958228        14.97240       1.471755             9.829787

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

A                        1      19.3756167     19.3756167      8.95     0.0065
B                        1      17.6960145     17.6960145      8.17     0.0089
A*B                      1      58.8015152     58.8015152     27.15     0.0001
SUBJ(A*B)                8      60.0984848      7.5123106      3.47     0.0091
C                        3     952.6212121    317.5404040    146.60     0.0001
A*C                      3       8.9871212      2.9957071      1.38     0.2730
B*C                      3      16.3916667      5.4638889      2.52     0.0829
A*B*C                    3       8.8472222      2.9490741      1.36     0.2794

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

A                        1      11.7000000     11.7000000      5.40     0.0293
B                        1      10.5307692     10.5307692      4.86     0.0377
A*B                      1      77.1428571     77.1428571     35.61     0.0001
SUBJ(A*B)                8      83.3472222     10.4184028      4.81     0.0014
C                        3     952.6212121    317.5404040    146.60     0.0001
A*C                      3       9.7666667      3.2555556      1.50     0.2403
B*C                      3      16.3916667      5.4638889      2.52     0.0829
A*B*C                    3       8.8472222      2.9490741      1.36     0.2794

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

A                        1       7.8672222      7.8672222      3.63     0.0693
B                        1       6.3605556      6.3605556      2.94     0.1000
A*B                      1      82.3472222     82.3472222     38.02     0.0001
SUBJ(A*B)                8      83.3472222     10.4184028      4.81     0.0014
C                        3     941.6867284    313.8955761    144.92     0.0001
A*C                      3       9.1311728      3.0437243      1.41     0.2667
B*C                      3      14.3163580      4.7721193      2.20     0.1150
A*B*C                    3       8.8472222      2.9490741      1.36     0.2794

                UNBALANCED WITHIN REPEATED MEASURES (SUBPLOT)               18

                       General Linear Models Procedure

Dependent Variable: RESPONSE

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

A                        1       7.8672222      7.8672222      3.63     0.0693
B                        1       6.3605556      6.3605556      2.94     0.1000
A*B                      1      82.3472222     82.3472222     38.02     0.0001
SUBJ(A*B)                8      83.3472222     10.4184028      4.81     0.0014
C                        3     941.6867284    313.8955761    144.92     0.0001
A*C                      3       9.1311728      3.0437243      1.41     0.2667
B*C                      3      14.3163580      4.7721193      2.20     0.1150
A*B*C                    3       8.8472222      2.9490741      1.36     0.2794

                UNBALANCED WITHIN REPEATED MEASURES (SUBPLOT)               19

                       General Linear Models Procedure

Source      Type III Expected Mean Square

A           Var(Error) + 3.84 Var(SUBJ(A*B)) + Q(A,A*B,A*C,A*B*C)

B           Var(Error) + 3.84 Var(SUBJ(A*B)) + Q(B,A*B,B*C,A*B*C)

A*B         Var(Error) + 3.84 Var(SUBJ(A*B)) + Q(A*B,A*B*C)

SUBJ(A*B)   Var(Error) + 3.875 Var(SUBJ(A*B))

C           Var(Error) + Q(C,A*C,B*C,A*B*C)

A*C         Var(Error) + Q(A*C,A*B*C)

B*C         Var(Error) + Q(B*C,A*B*C)

A*B*C       Var(Error) + Q(A*B*C)

Source      Type IV Expected Mean Square

A           Var(Error) + 3.84 Var(SUBJ(A*B)) + Q(A,A*B,A*C,A*B*C)

B           Var(Error) + 3.84 Var(SUBJ(A*B)) + Q(B,A*B,B*C,A*B*C)

A*B         Var(Error) + 3.84 Var(SUBJ(A*B)) + Q(A*B,A*B*C)

SUBJ(A*B)   Var(Error) + 3.875 Var(SUBJ(A*B))

C           Var(Error) + Q(C,A*C,B*C,A*B*C)

A*C         Var(Error) + Q(A*C,A*B*C)

B*C         Var(Error) + Q(B*C,A*B*C)

A*B*C       Var(Error) + Q(A*B*C)

                UNBALANCED WITHIN REPEATED MEASURES (SUBPLOT)               20

                       General Linear Models Procedure

Dependent Variable: RESPONSE

Tests of Hypotheses using the Type IV MS for SUBJ(A*B) as an error term

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

A                        1      7.86722222     7.86722222      0.76     0.4102
B                        1      6.36055556     6.36055556      0.61     0.4571
A*B                      1     82.34722222    82.34722222      7.90     0.0228