Output from m1power.sas	Source 0 Graphs

              Retrospective Power Analysis: OneWay MANOVA Design             1

                       General Linear Models Procedure
                           Class Level Information

                    Class    Levels    Values

                    FORMULA       4    OLD NEW MAJOR ALPS


                   Number of observations in data set = 16

              Retrospective Power Analysis: OneWay MANOVA Design             2

                       General Linear Models Procedure
                      Multivariate Analysis of Variance

          Characteristic Roots and Vectors of: E Inverse * H, where
        H = Type III SS&CP Matrix for FORMULA   E = Error SS&CP Matrix

        Characteristic   Percent        Characteristic Vector  V'EV=1
             Root
                                                 START         AMOUNT

            2.03961854     98.47           -0.10279413     0.04639418
            0.03174562      1.53            0.16973304     0.02111246

                Manova Test Criteria and F Approximations for
                 the Hypothesis of no Overall FORMULA Effect
        H = Type III SS&CP Matrix for FORMULA   E = Error SS&CP Matrix

                             S=2    M=0    N=4.5

 Statistic                     Value          F      Num DF    Den DF  Pr > F

 Wilks' Lambda              0.31886605     2.8267         6        22  0.0341
 Pillai's Trace             0.70178019     2.1623         6        24  0.0829
 Hotelling-Lawley Trace     2.07136416     3.4523         6        20  0.0166
 Roy's Greatest Root        2.03961854     8.1585         3        12  0.0031

         NOTE: F Statistic for Roy's Greatest Root is an upper bound.
                NOTE: F Statistic for Wilks' Lambda is exact.

          Characteristic Roots and Vectors of: E Inverse * H, where
    H = Contrast SS&CP Matrix for Ours vs. Theirs   E = Error SS&CP Matrix

        Characteristic   Percent        Characteristic Vector  V'EV=1
             Root
                                                 START         AMOUNT

            1.66869411    100.00           -0.10378699     0.04626967
            0.00000000      0.00            0.16912776     0.02138397

              Retrospective Power Analysis: OneWay MANOVA Design             3

                       General Linear Models Procedure
                      Multivariate Analysis of Variance

               Manova Test Criteria and Exact F Statistics for
             the Hypothesis of no Overall Ours vs. Theirs Effect
    H = Contrast SS&CP Matrix for Ours vs. Theirs   E = Error SS&CP Matrix

                             S=1    M=0    N=4.5

 Statistic                     Value          F      Num DF    Den DF  Pr > F

 Wilks' Lambda              0.37471511     9.1778         2        11  0.0045
 Pillai's Trace             0.62528489     9.1778         2        11  0.0045
 Hotelling-Lawley Trace     1.66869411     9.1778         2        11  0.0045
 Roy's Greatest Root        1.66869411     9.1778         2        11  0.0045

              Retrospective Power Analysis: OneWay MANOVA Design             4
                               Univariate power

                                                            F Nominal Adj.
  SOURCE          _NAME_ _TYPE_     START   AMOUNT  DF  Value  power  power

  FORMULA         START  SS3        9.6875  -70.938  3   1.50  0.063  0.050
  FORMULA         AMOUNT SS3      -70.9375  585.687  3   6.00  0.868  0.693
  Ours vs. Theirs START  CONTRAST   7.5625  -59.813  1   3.52  0.073  0.050
  Ours vs. Theirs AMOUNT CONTRAST -59.8125  473.063  1  14.55  0.938  0.864

                            Non-      Adj_Non-   Req'd  Total  Req'd
  SOURCE          _NAME_ Centrality  Centrality    N      N    power  ALPHA

  FORMULA         START      0.30        0.00       .      .    0.8    0.05
  FORMULA         AMOUNT    18.01       12.01       .      .    0.8    0.05
  Ours vs. Theirs START      0.23        0.00       .      .    0.8    0.05
  Ours vs. Theirs AMOUNT    14.55       11.12       .      .    0.8    0.05

              Retrospective Power Analysis: OneWay MANOVA Design             5
                              Multivariate power

                                    EFFECT              ALPHA
                 Power analysis for FORMULA SS3          0.05


                  ROOTS     THETA         S         M         N
              2.0396185 0.6710114         2         0       4.5
              0.0317456 0.0307688

                   Value        F    df1   df2     Eta##2 Non-Cent.     Power

Wilks' Lambda      0.319    2.827      6    22     0.4353      8.48    0.4352
Pillai's Trace     0.702    2.162      6    24     0.3509    6.4869    0.3414
Lawley Trace       2.071    3.452      6    20     0.5088    10.357    0.5135
Roy's max. Root    2.040    8.158      3    12      0.671    24.475    0.9529


                            EFFECT                              ALPHA
         Power analysis for Ours vs. Theirs CONTRAST             0.05


                  ROOTS     THETA         S         M         N
              1.6686941 0.6252849         1         0       4.5
                      0         0

                   Value        F    df1   df2     Eta##2 Non-Cent.     Power

Wilks' Lambda      0.375    9.178      2    11     0.6253    9.1778    0.6509
Pillai's Trace     0.625    9.178      2    11     0.6253    9.1778    0.6509
Lawley Trace       1.669    9.178      2    11     0.6253    9.1778    0.6509
Roy's max. Root    1.669    9.178      2    11     0.6253    9.1778    0.6509