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Data for Doubly Multivariate design 1

OBS      TRT      REPS    PREY1    POSTY1    FOLY1    PREY2    POSTY2    FOLY2
  1    TreatA       1        3       13         9        0        0         9
  2    TreatA       2        0       14        10        6        6         3
  3    TreatA       3        4        6        17        8        2         6
  4    TreatA       4        7        7        13        7        6         4
  5    TreatA       5        3       12        11        6       12         6
  6    TreatA       6       10       14         8       13        3         8
  7    TreatB       1        9       11        17        8       11        27
  8    TreatB       2        4       16        13        9        3        26
  9    TreatB       3        8       10         9       12        0        18
 10    TreatB       4        5        9        13        3        0        14
 11    TreatB       5        0       15        11        3        0        25
 12    TreatB       6        4       11        14        4        2         9
 13    Control      1       10       12        15        4        3         7
 14    Control      2        2        8        12        8        7        20
 15    Control      3        4        9        10        2        0        10
 16    Control      4       10        8         8        5        8        14
 17    Control      5       11       11        11        1        0        11
 18    Control      6        1        5        15        8        9        10

Data for Doubly Multivariate design 2

  OBS   TRT   _TYPE_ _FREQ_  PREY1   POSTY1  FOLY1   PREY2   POSTY2  FOLY2
   1             0     18   5.27778 10.6111 12.0000 5.94444 4.00000 12.6111
   2  Control    1      6   6.33333  8.8333 11.8333 4.66667 4.50000 12.0000
   3  TreatA     1      6   4.50000 11.0000 11.3333 6.66667 4.83333  6.0000
   4  TreatB     1      6   5.00000 12.0000 12.8333 6.50000 2.66667 19.8333

Multivariate Repeated Measures with two dependents 3

                       General Linear Models Procedure
                           Class Level Information

                   Class    Levels    Values
                   TRT           3    Control TreatA TreatB


                   Number of observations in data set = 18


Multivariate Repeated Measures with two dependents 4

                       General Linear Models Procedure
                      Multivariate Analysis of Variance

                  M Matrix Describing Transformed Variables
           PREY1      POSTY1       FOLY1       PREY2      POSTY2       FOLY2

  Y1           1           1           1           0           0           0
  Y2           0           0           0           1           1           1

Multivariate Repeated Measures with two dependents 5

                       General Linear Models Procedure
                      Multivariate Analysis of Variance

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

               Variables have been transformed by the M Matrix

        Characteristic   Percent        Characteristic Vector  V'EV=1
             Root
                                                    Y1             Y2
            0.37698780     98.53            0.02368613     0.02356288
            0.00562880      1.47            0.04843467    -0.01362490


                Manova Test Criteria and F Approximations for
                   the Hypothesis of no Overall TRT Effect
           on the variables defined by the M Matrix Transformation
          H = Type III SS&CP Matrix for TRT   E = Error SS&CP Matrix

                             S=2    M=-0.5    N=6

 Statistic                     Value          F      Num DF    Den DF  Pr > F
 Wilks' Lambda              0.72215797     1.2372         4        28  0.3178
 Pillai's Trace             0.27937444     1.2178         4        30  0.3240
 Hotelling-Lawley Trace     0.38261660     1.2435         4        26  0.3172
 Roy's Greatest Root        0.37698780     2.8274         2        15  0.0908

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

Multivariate Repeated Measures with two dependents 6

                       General Linear Models Procedure
                      Multivariate Analysis of Variance

                  M Matrix Describing Transformed Variables
                PREY1     POSTY1      FOLY1      PREY2     POSTY2      FOLY2

  PREPOST1          1         -1          0          0          0          0
  PREFOL1           1          0         -1          0          0          0
  PREPOST2          0          0          0          1         -1          0
  PREFOL2           0          0          0          1          0         -1

Multivariate Repeated Measures with two dependents 7

                       General Linear Models Procedure
                      Multivariate Analysis of Variance

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

               Variables have been transformed by the M Matrix

Characteristic   Percent                Characteristic Vector  V'EV=1
     Root
                                      PREPOST1        PREFOL1       PREPOST2
                                       PREFOL2
    6.10662362    100.00           -0.00157729     0.04081620    -0.04210209
                                    0.03519437

    0.00000000      0.00            0.00796367     0.00493217     0.05185236
                                    0.00377940

    0.00000000      0.00           -0.03534089    -0.01502146    -0.00283074
                                    0.04259372

    0.00000000      0.00           -0.05672137     0.04500208     0.00000000
                                    0.00000000



               Manova Test Criteria and Exact F Statistics for
                the Hypothesis of no Overall INTERCEPT Effect
           on the variables defined by the M Matrix Transformation
       H = Type III SS&CP Matrix for INTERCEPT   E = Error SS&CP Matrix

                              S=1    M=1    N=5

 Statistic                     Value          F      Num DF    Den DF  Pr > F
 Wilks' Lambda              0.14071380    18.3199         4        12  0.0001
 Pillai's Trace             0.85928620    18.3199         4        12  0.0001
 Hotelling-Lawley Trace     6.10662362    18.3199         4        12  0.0001
 Roy's Greatest Root        6.10662362    18.3199         4        12  0.0001

Multivariate Repeated Measures with two dependents 8

                       General Linear Models Procedure
                      Multivariate Analysis of Variance

                  M Matrix Describing Transformed Variables
                PREY1     POSTY1      FOLY1      PREY2     POSTY2      FOLY2

  PREPOST1          1         -1          0          0          0          0
  PREFOL1           1          0         -1          0          0          0
  PREPOST2          0          0          0          1         -1          0
  PREFOL2           0          0          0          1          0         -1

Multivariate Repeated Measures with two dependents 9

                       General Linear Models Procedure
                      Multivariate Analysis of Variance

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

               Variables have been transformed by the M Matrix

Characteristic   Percent                Characteristic Vector  V'EV=1
     Root
                                      PREPOST1        PREFOL1       PREPOST2
                                       PREFOL2
    2.12651905     84.20           -0.02780329     0.02023561    -0.03439916
                                    0.05466141

    0.39905609     15.80           -0.04526733    -0.00757601     0.03858928
                                    0.00609866

    0.00000000      0.00           -0.02529108     0.05788863     0.00066692
                                   -0.00313638

    0.00000000      0.00            0.03271708    -0.01109733     0.04238379
                                    0.00567903



                Manova Test Criteria and F Approximations for
                   the Hypothesis of no Overall TRT Effect
           on the variables defined by the M Matrix Transformation
          H = Type III SS&CP Matrix for TRT   E = Error SS&CP Matrix

                             S=2    M=0.5    N=5

 Statistic                     Value          F      Num DF    Den DF  Pr > F
 Wilks' Lambda              0.22861451     3.2744         8        24  0.0115
 Pillai's Trace             0.96538785     3.0325         8        26  0.0151
 Hotelling-Lawley Trace     2.52557514     3.4727         8        22  0.0097
 Roy's Greatest Root        2.12651905     6.9112         4        13  0.0033

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

Stepdown analysis 10

                       General Linear Models Procedure
                           Class Level Information

                   Class    Levels    Values
                   TRT           3    Control TreatA TreatB


                   Number of observations in data set = 18


Stepdown analysis 11

                       General Linear Models Procedure

Dependent Variable: POSTY1   Posttest Y1
                                    Sum of           Mean
Source                  DF         Squares         Square   F Value     Pr > F
Model                    3     31.57684682    10.52561561      1.09     0.3842

Error                   14    134.70093095     9.62149507

Corrected Total         17    166.27777778

                  R-Square            C.V.       Root MSE          POSTY1 Mean
                  0.189904        29.23213       3.101853             10.61111

Source                  DF       Type I SS    Mean Square   F Value     Pr > F
PREY1                    1      0.44817916     0.44817916      0.05     0.8322
TRT                      2     31.12866767    15.56433383      1.62     0.2333

Source                  DF     Type III SS    Mean Square   F Value     Pr > F
PREY1                    1      0.13240238     0.13240238      0.01     0.9083
TRT                      2     31.12866767    15.56433383      1.62     0.2333



Stepdown analysis 12

                       General Linear Models Procedure
                           Class Level Information

                   Class    Levels    Values
                   TRT           3    Control TreatA TreatB


                   Number of observations in data set = 18


Stepdown analysis 13

                       General Linear Models Procedure

Dependent Variable: FOLY1   Follow up Y1
                                    Sum of           Mean
Source                  DF         Squares         Square   F Value     Pr > F
Model                    4     32.69482288     8.17370572      1.03     0.4290

Error                   13    103.30517712     7.94655209

Corrected Total         17    136.00000000

                  R-Square            C.V.       Root MSE           FOLY1 Mean
                  0.240403        23.49136       2.818963             12.00000

Source                  DF       Type I SS    Mean Square   F Value     Pr > F
POSTY1                   1     15.64249916    15.64249916      1.97     0.1840
PREY1                    1      1.14976853     1.14976853      0.14     0.7098
TRT                      2     15.90255519     7.95127760      1.00     0.3943

Source                  DF     Type III SS    Mean Square   F Value     Pr > F
POSTY1                   1     24.82541507    24.82541507      3.12     0.1006
PREY1                    1      0.60190982     0.60190982      0.08     0.7875
TRT                      2     15.90255519     7.95127760      1.00     0.3943



Stepdown analysis 14

                       General Linear Models Procedure
                           Class Level Information

                   Class    Levels    Values
                   TRT           3    Control TreatA TreatB


                   Number of observations in data set = 18


Stepdown analysis 15

                       General Linear Models Procedure

Dependent Variable: POSTY2   Posttest Y2
                                    Sum of           Mean
Source                  DF         Squares         Square   F Value     Pr > F
Model                    3     52.14571191    17.38190397      1.08     0.3905

Error                   14    225.85428809    16.13244915

Corrected Total         17    278.00000000

                  R-Square            C.V.       Root MSE          POSTY2 Mean
                  0.187575        100.4131       4.016522             4.000000

Source                  DF       Type I SS    Mean Square   F Value     Pr > F
PREY2                    1     29.77513569    29.77513569      1.85     0.1958
TRT                      2     22.37057621    11.18528811      0.69     0.5163

Source                  DF     Type III SS    Mean Square   F Value     Pr > F
PREY2                    1     35.81237857    35.81237857      2.22     0.1584
TRT                      2     22.37057621    11.18528811      0.69     0.5163



Stepdown analysis 16

                       General Linear Models Procedure
                           Class Level Information

                   Class    Levels    Values
                   TRT           3    Control TreatA TreatB


                   Number of observations in data set = 18


Stepdown analysis 17

                       General Linear Models Procedure

Dependent Variable: FOLY2   Follow up Y2
                                    Sum of           Mean
Source                  DF         Squares         Square   F Value     Pr > F
Model                    4     619.6435870    154.9108967      5.65     0.0074

Error                   13     356.6341908     27.4333993

Corrected Total         17     976.2777778

                  R-Square            C.V.       Root MSE           FOLY2 Mean
                  0.634700        41.53235       5.237690             12.61111

Source                  DF       Type I SS    Mean Square   F Value     Pr > F
POSTY2                   1       0.0143885      0.0143885      0.00     0.9821
PREY2                    1      27.9085347     27.9085347      1.02     0.3316
TRT                      2     591.7206638    295.8603319     10.78     0.0017

Source                  DF     Type III SS    Mean Square   F Value     Pr > F
POSTY2                   1      15.9397753     15.9397753      0.58     0.4595
PREY2                    1      10.7834313     10.7834313      0.39     0.5415
TRT                      2     591.7206638    295.8603319     10.78     0.0017