Output from repmes3.sas

	Output from repmes3.sas	Source 0 Graphs

                   3 Factor Design with 1 Repeated Measure                   1
                    Multivariate REPEATED Measure Analysis

                       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

                   3 Factor Design with 1 Repeated Measure                   2
                    Multivariate REPEATED Measure Analysis

                       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

                   3 Factor Design with 1 Repeated Measure                   3
                    Multivariate REPEATED Measure Analysis

                       General Linear Models Procedure
                    Repeated Measures Analysis of Variance

  Partial Correlation Coefficients from the Error SS&CP Matrix / Prob > |r|

              DF = 8            T1        T2        T3        T4

              T1          1.000000  0.494934  0.189029  0.109985

                            0.0001    0.1755    0.6262    0.7782

              T2          0.494934  1.000000  0.751921  0.583333

                            0.1755    0.0001    0.0195    0.0992

              T3          0.189029  0.751921  1.000000  0.954820

                            0.6262    0.0195    0.0001    0.0001

              T4          0.109985  0.583333  0.954820  1.000000

                            0.7782    0.0992    0.0001    0.0001



                            E = Error SS&CP Matrix

      TRIALS.N represents the nth degree polynomial contrast for TRIALS

                          TRIALS.1          TRIALS.2          TRIALS.3

        TRIALS.1       31.76666667      -13.71455026       -3.96666667
        TRIALS.2      -13.71455026       15.83333333       -1.34164079
        TRIALS.3       -3.96666667       -1.34164079        4.56666667

                   3 Factor Design with 1 Repeated Measure                   4
                    Multivariate REPEATED Measure Analysis

                       General Linear Models Procedure
                    Repeated Measures Analysis of Variance

         Partial Correlation Coefficients from the Error SS&CP Matrix
    of the Variables Defined by the Specified Transformation / Prob > |r|

                   DF = 8      TRIALS.1  TRIALS.2  TRIALS.3

                   TRIALS.1    1.000000 -0.611518 -0.329337

                                 0.0001    0.0801    0.3868

                   TRIALS.2   -0.611518  1.000000 -0.157779

                                 0.0801    0.0001    0.6852

                   TRIALS.3   -0.329337 -0.157779  1.000000

                                 0.3868    0.6852    0.0001



             Test for Sphericity: Mauchly's Criterion = 0.1874661
  Chisquare Approximation = 11.254057 with 5 df   Prob > Chisquare = 0.0466

                      Applied to Orthogonal Components:
             Test for Sphericity: Mauchly's Criterion = 0.1874661
  Chisquare Approximation = 11.254057 with 5 df   Prob > Chisquare = 0.0466

                     H = Type III SS&CP Matrix for TRIALS
      TRIALS.N represents the nth degree polynomial contrast for TRIALS

                          TRIALS.1          TRIALS.2          TRIALS.3

        TRIALS.1            984.15      -81.50467778              24.3
        TRIALS.2      -81.50467778              6.75       -2.01246118
        TRIALS.3              24.3       -2.01246118               0.6

               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

                   3 Factor Design with 1 Repeated Measure                   5
                    Multivariate REPEATED Measure Analysis

                       General Linear Models Procedure
                    Repeated Measures Analysis of Variance

                    H = Type III SS&CP Matrix for TRIALS*A
      TRIALS.N represents the nth degree polynomial contrast for TRIALS

                          TRIALS.1          TRIALS.2          TRIALS.3

        TRIALS.1      1.6666666667      2.2360679775               2.5
        TRIALS.2      2.2360679775                 3      3.3541019662
        TRIALS.3               2.5      3.3541019662              3.75

               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

                    H = Type III SS&CP Matrix for TRIALS*B
      TRIALS.N represents the nth degree polynomial contrast for TRIALS

                          TRIALS.1          TRIALS.2          TRIALS.3

        TRIALS.1      10.416666667      -0.931694991      4.1666666667
        TRIALS.2      -0.931694991      0.0833333333      -0.372677996
        TRIALS.3      4.1666666667      -0.372677996      1.6666666667

               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

                   3 Factor Design with 1 Repeated Measure                   6
                    Multivariate REPEATED Measure Analysis

                       General Linear Models Procedure
                    Repeated Measures Analysis of Variance

                   H = Type III SS&CP Matrix for TRIALS*A*B
      TRIALS.N represents the nth degree polynomial contrast for TRIALS

                          TRIALS.1          TRIALS.2          TRIALS.3

        TRIALS.1               9.6      -1.788854382               5.2
        TRIALS.2      -1.788854382      0.3333333333       -0.96896279
        TRIALS.3               5.2       -0.96896279      2.8166666667

               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

                   3 Factor Design with 1 Repeated Measure                   7
                    Multivariate REPEATED Measure Analysis

                       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

                   3 Factor Design with 1 Repeated Measure                   8
                    Multivariate REPEATED Measure Analysis

                       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

                   3 Factor Design with 1 Repeated Measure                   9
                    Multivariate REPEATED Measure Analysis

                       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

                   3 Factor Design with 1 Repeated Measure                  10
                             Mixed Model Analysis

                       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

                TRIAL         4    1 2 3 4


                   Number of observations in data set = 48

                   3 Factor Design with 1 Repeated Measure                  11
                             Mixed Model Analysis

                       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 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
TRIAL                    3     991.5000000    330.5000000    152.05     0.0001
A*TRIAL                  3       8.4166667      2.8055556      1.29     0.3003
B*TRIAL                  3      12.1666667      4.0555556      1.87     0.1624
A*B*TRIAL                3      12.7500000      4.2500000      1.96     0.1477


Contrast                DF     Contrast SS    Mean Square   F Value     Pr > F

T-linear                 1     984.1500000    984.1500000    452.77     0.0001
T-quad                   1       6.7500000      6.7500000      3.11     0.0908
T-cubic                  1       0.6000000      0.6000000      0.28     0.6041

                   3 Factor Design with 1 Repeated Measure                  12
                             Mixed Model Analysis

                       General Linear Models Procedure

Source      Type III Expected Mean Square

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

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

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

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

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

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

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

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

Contrast               Contrast Expected Mean Square

T-linear               Var(Error) + Q(TRIAL,A*TRIAL,B*TRIAL,A*B*TRIAL)

T-quad                 Var(Error) + Q(TRIAL,A*TRIAL,B*TRIAL,A*B*TRIAL)

T-cubic                Var(Error) + Q(TRIAL,A*TRIAL,B*TRIAL,A*B*TRIAL)

                   3 Factor Design with 1 Repeated Measure                  13
                             Mixed Model Analysis

                       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

                   3 Factor Design with 1 Repeated Measure                  14
                                 A * B means

                 Plot of RESPONSE*A.  Symbol is value of B.

         RESPONSE |
           12.167 +                                               2
           12.083 +
           12.000 +
           11.917 +
           11.833 +
           11.750 +
           11.667 +
           11.583 +
           11.500 +
           11.417 +
           11.333 +
           11.250 +
           11.167 +
           11.083 +
           11.000 +
           10.917 +
           10.833 +
           10.750 +
           10.667 +
           10.583 +
           10.500 +
           10.417 +  1
           10.333 +
           10.250 +
           10.167 +
           10.083 +
           10.000 +
            9.917 +
            9.833 +
            9.750 +
            9.667 +
            9.583 +
            9.500 +
            9.417 +
            9.333 +
            9.250 +
            9.167 +
            9.083 +
            9.000 +
            8.917 +
            8.833 +
            8.750 +                                               1
            8.667 +  2
                  ---+--------------------------------------------+--
                     1                                            2

                                    Manifest Anxiety

Output from repmes3.sas

3 Factor Design with 1 Repeated Measure 1 Multivariate REPEATED Measure Analysis

3 Factor Design with 1 Repeated Measure 2 Multivariate REPEATED Measure Analysis

3 Factor Design with 1 Repeated Measure 3 Multivariate REPEATED Measure Analysis

3 Factor Design with 1 Repeated Measure 4 Multivariate REPEATED Measure Analysis

3 Factor Design with 1 Repeated Measure 5 Multivariate REPEATED Measure Analysis

3 Factor Design with 1 Repeated Measure 6 Multivariate REPEATED Measure Analysis

3 Factor Design with 1 Repeated Measure 7 Multivariate REPEATED Measure Analysis

3 Factor Design with 1 Repeated Measure 8 Multivariate REPEATED Measure Analysis

3 Factor Design with 1 Repeated Measure 9 Multivariate REPEATED Measure Analysis

3 Factor Design with 1 Repeated Measure 10 Mixed Model Analysis

3 Factor Design with 1 Repeated Measure 11 Mixed Model Analysis

3 Factor Design with 1 Repeated Measure 12 Mixed Model Analysis

3 Factor Design with 1 Repeated Measure 13 Mixed Model Analysis

3 Factor Design with 1 Repeated Measure 14 A * B means