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Effects of teaching methods on math performance 1

                       General Linear Models Procedure
                           Class Level Information

                          Class    Levels    Values
                          GROUP         4    1 2 3 4


                   Number of observations in data set = 80



                            E = Error SS&CP Matrix
                                      ADD              MULT

                   ADD            8926.05           3926.75
                   MULT           3926.75              5411

Effects of teaching methods on math performance 2

                       General Linear Models Procedure
                      Multivariate Analysis of Variance

  Partial Correlation Coefficients from the Error SS&CP Matrix / Prob > |r|
                        DF = 76          ADD      MULT

                        ADD         1.000000  0.565021
                                      0.0001    0.0001
                        MULT        0.565021  1.000000
                                      0.0001    0.0001



Effects of teaching methods on math performance 3

                       General Linear Models Procedure
                      Multivariate Analysis of Variance

                     H = Type III SS&CP Matrix for GROUP
                                      ADD              MULT

                   ADD         17101.1375             12860
                   MULT             12860             27882

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

        Characteristic   Percent        Characteristic Vector  V'EV=1
             Root
                                                   ADD           MULT
            5.62938867     76.99           -0.00445768     0.01598225
            1.68259713     23.01            0.01202912    -0.00400567


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

                             S=2    M=0    N=36.5

 Statistic                     Value          F      Num DF    Den DF  Pr > F
 Wilks' Lambda              0.05623039    80.4276         6       150  0.0001
 Pillai's Trace             1.47638345    71.4296         6       152  0.0001
 Hotelling-Lawley Trace     7.31198580    90.1812         6       148  0.0001
 Roy's Greatest Root        5.62938867   142.6112         3        76  0.0001

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

Effects of teaching methods on math performance 4

                                      EFFECT          ALPHA
                   Power analysis for GROUP SS3        0.01


                  ROOTS     THETA         S         M         N
              5.6293887 0.8491565         2         0      36.5
              1.6825971 0.6272269

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

Wilks' Lambda      0.056   80.428      6   150     0.7629    241.28         1
Pillai's Trace     1.476   71.430      6   152     0.7382    214.29         1
Lawley Trace       7.312   90.181      6   148     0.7852    270.54         1
Roy's max. Root    5.629  142.611      3    76     0.8492    427.83         1


                                 EFFECT                    ALPHA
              Power analysis for 1-2 VS 3-4 CONTRAST        0.01


                  ROOTS     THETA         S         M         N
              4.2093541 0.8080376         1         0      36.5
                      0         0

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

Wilks' Lambda      0.192  157.851      2    75      0.808    157.85         1
Pillai's Trace     0.808  157.851      2    75      0.808    157.85         1
Lawley Trace       4.209  157.851      2    75      0.808    157.85         1
Roy's max. Root    4.209  157.851      2    75      0.808    157.85         1


                                 EFFECT                    ALPHA
              Power analysis for 1-3 VS 2-4 CONTRAST        0.01


                  ROOTS     THETA         S         M         N
              0.3317695 0.2491193         1         0      36.5
                      0         0

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

Wilks' Lambda      0.751   12.441      2    75     0.2491    12.441    0.7063
Pillai's Trace     0.249   12.441      2    75     0.2491    12.441    0.7063
Lawley Trace       0.332   12.441      2    75     0.2491    12.441    0.7063
Roy's max. Root    0.332   12.441      2    75     0.2491    12.441    0.7063

Effects of teaching methods on math performance 5

  OBS   _SOURCE_     _TYPE_     STAT     ALPHA     ETA2       NC      POWER
    1   GROUP        SS3        WILKS     0.01   0.76287   241.283   1.00000
    2   GROUP        SS3        PILLAI    0.01   0.73819   214.289   1.00000
    3   GROUP        SS3        LAWLEY    0.01   0.78522   270.543   1.00000
    4   GROUP        SS3        ROY       0.01   0.84916   427.834   1.00000
    5   1-2 VS 3-4   CONTRAST   WILKS     0.01   0.80804   157.851   1.00000
    6   1-2 VS 3-4   CONTRAST   PILLAI    0.01   0.80804   157.851   1.00000
    7   1-2 VS 3-4   CONTRAST   LAWLEY    0.01   0.80804   157.851   1.00000
    8   1-2 VS 3-4   CONTRAST   ROY       0.01   0.80804   157.851   1.00000
    9   1-3 VS 2-4   CONTRAST   WILKS     0.01   0.24912    12.441   0.70627
   10   1-3 VS 2-4   CONTRAST   PILLAI    0.01   0.24912    12.441   0.70627
   11   1-3 VS 2-4   CONTRAST   LAWLEY    0.01   0.24912    12.441   0.70627
   12   1-3 VS 2-4   CONTRAST   ROY       0.01   0.24912    12.441   0.70627