Output from vocab.sas	Source 0 Graphs

             Vocabulary Growth Study: Repeated measures analysis             1
                   Multivariate Repeated Measures Analysis

                       General Linear Models Procedure

                   Number of observations in data set = 64

             Vocabulary Growth Study: Repeated measures analysis             2
                   Multivariate Repeated Measures Analysis

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

           Dependent Variable     GRADE8   GRADE9  GRADE10  GRADE11

               Level of GRADE          8        9       10       11

             Vocabulary Growth Study: Repeated measures analysis             3
                   Multivariate Repeated Measures Analysis

                       General Linear Models Procedure
                    Repeated Measures Analysis of Variance

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

              DF = 63       GRADE8    GRADE9   GRADE10   GRADE11

              GRADE8      1.000000  0.810128  0.866740  0.784351

                            0.0001    0.0001    0.0001    0.0001

              GRADE9      0.810128  1.000000  0.784636  0.757642

                            0.0001    0.0001    0.0001    0.0001

              GRADE10     0.866740  0.784636  1.000000  0.810099

                            0.0001    0.0001    0.0001    0.0001

              GRADE11     0.784351  0.757642  0.810099  1.000000

                            0.0001    0.0001    0.0001    0.0001



                            E = Error SS&CP Matrix

       GRADE.N represents the nth degree polynomial contrast for GRADE

                          GRADE.1           GRADE.2           GRADE.3

        GRADE.1       50.36541969       12.07960537       -3.14012156
        GRADE.2       12.07960537       44.03157500       -4.08259335
        GRADE.3       -3.14012156       -4.08259335       60.72245219

             Vocabulary Growth Study: Repeated measures analysis             4
                   Multivariate Repeated Measures 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 = 63      GRADE.1   GRADE.2   GRADE.3

                   GRADE.1     1.000000  0.256510 -0.056781

                                 0.0001    0.0408    0.6558

                   GRADE.2     0.256510  1.000000 -0.078955

                                 0.0408    0.0001    0.5352

                   GRADE.3    -0.056781 -0.078955  1.000000

                                 0.6558    0.5352    0.0001



             Test for Sphericity: Mauchly's Criterion = 0.9030496
  Chisquare Approximation = 6.2942969 with 5 df   Prob > Chisquare = 0.2786

                      Applied to Orthogonal Components:
             Test for Sphericity: Mauchly's Criterion = 0.9030496
  Chisquare Approximation = 6.2942969 with 5 df   Prob > Chisquare = 0.2786

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

                          GRADE.1           GRADE.2           GRADE.3

        GRADE.1      177.14640031      -49.17910361      23.608111562
        GRADE.2      -49.17910361         13.653025      -6.554046611
        GRADE.3      23.608111562      -6.554046611      3.1462278125

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

                            S=1    M=0.5    N=29.5

 Statistic                     Value          F      Num DF    Den DF  Pr > F

 Wilks' Lambda              0.17422126    96.3765         3        61  0.0001
 Pillai's Trace             0.82577874    96.3765         3        61  0.0001
 Hotelling-Lawley Trace     4.73982748    96.3765         3        61  0.0001
 Roy's Greatest Root        4.73982748    96.3765         3        61  0.0001

             Vocabulary Growth Study: Repeated measures analysis             5
                   Multivariate Repeated Measures Analysis

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

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

      3     193.94565313      64.64855104     78.77   0.0001   0.0001   0.0001

Source: Error(GRADE)

     DF      Type III SS      Mean Square

    189     155.11944687       0.82073781

                     Greenhouse-Geisser Epsilon = 0.9428
                            Huynh-Feldt Epsilon = 0.9917

             Vocabulary Growth Study: Repeated measures analysis             6
                   Multivariate Repeated Measures Analysis

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

       GRADE.N represents the nth degree polynomial contrast for GRADE

Contrast Variable: GRADE.1

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

MEAN                     1    177.14640031   177.14640031    221.59     0.0001

Error                   63     50.36541969     0.79945111

Contrast Variable: GRADE.2

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

MEAN                     1     13.65302500    13.65302500     19.53     0.0001

Error                   63     44.03157500     0.69891389

Contrast Variable: GRADE.3

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

MEAN                     1      3.14622781     3.14622781      3.26     0.0756

Error                   63     60.72245219     0.96384845

             Vocabulary Growth Study: Repeated measures analysis             7
                       Mixed Model Analysis with Trends

                       General Linear Models Procedure
                           Class Level Information

Class    Levels    Values

SUBJECT      64    1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22
                   23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41
                   42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60
                   61 62 63 64

GRADE         4    8 9 10 11


                   Number of observations in data set = 256

             Vocabulary Growth Study: Repeated measures analysis             8
                       Mixed Model Analysis with Trends

                       General Linear Models Procedure

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

Model                   66     1067.931328      16.180778     19.71     0.0001

Error                  189      155.119447       0.820738

Corrected Total        255     1223.050775

                  R-Square            C.V.       Root MSE           VOCAB Mean

                  0.873170        35.75073       0.905946             2.534062

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

GRADE                    3     193.9456531     64.6485510     78.77     0.0001
SUBJECT                 63     873.9856750     13.8727885     16.90     0.0001

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

GRADE                    3     193.9456531     64.6485510     78.77     0.0001
SUBJECT                 63     873.9856750     13.8727885     16.90     0.0001

Contrast                DF     Contrast SS    Mean Square   F Value     Pr > F

Linear                   1     177.1464003    177.1464003    215.84     0.0001
Quadratic                1      13.6530250     13.6530250     16.64     0.0001
Cubic                    1       3.1462278      3.1462278      3.83     0.0517

                                        T for H0:    Pr > |T|   Std Error of
Parameter                  Estimate    Parameter=0                Estimate

Slope                    7.44031250          14.69     0.0001     0.50643910
Curvature               -0.92375000          -4.08     0.0001     0.22648645

             Vocabulary Growth Study: Repeated measures analysis             9
                Transformation to orthogonal polynomial scores

 SUBJECT  GRADE8  GRADE9  GRADE10  GRADE11    MEAN   LINEAR    QUAD     CUBIC

     1      1.75    2.60     3.76     3.68   2.9475    6.95  -0.93000   -1.55
     2      0.90    2.47     2.44     3.43   2.3100    7.56  -0.58000    2.62
     3      0.80    0.93     0.40     2.27   1.1000    3.88   1.74000    3.06
     4      2.42    4.15     4.56     4.21   3.8350    5.78  -2.08000    0.56
     5     -1.31   -1.31    -0.66    -2.22  -1.3750   -2.08  -1.56000   -2.86
     6     -1.56    1.67     0.18     2.33   0.6550   10.18  -1.08000    8.36
     7      1.09    1.50     0.52     2.33   1.3600    2.74   1.40000    4.18
     8     -1.92    1.03     0.50     3.04   0.6625   14.35  -0.41000    6.55
     9     -1.61    0.29     0.73     3.24   0.6625   14.99   0.61000    3.53
    10      2.47    3.64     2.87     5.38   3.5900    7.96   1.34000    5.22
    11     -0.95    0.41     0.21     1.82   0.3725    8.11   0.25000    3.37
    12      1.66    2.74     2.40     2.17   2.2425    1.19  -1.31000    1.53
    13      2.07    4.92     4.46     4.71   4.0400    7.46  -2.60000    4.02
    14      3.30    6.10     7.19     7.46   6.0125   13.57  -2.53000    0.89
    15      2.75    2.53     4.28     5.93   3.8725   11.29   1.87000   -2.07
    16      2.25    3.38     5.79     4.40   3.9550    8.86  -2.52000   -5.08
    17      2.08    1.74     4.12     3.62   2.8900    7.00  -0.16000   -5.60
    18      0.14    0.01     1.48     2.78   1.1025    9.39   1.43000   -1.77
    19      0.13    3.19     0.60     3.14   1.7650    6.44  -0.52000   10.78
    20      2.19    2.65     3.27     2.73   2.7100    2.24  -1.00000   -1.32
    21     -0.64   -1.31    -0.37     4.09   0.4425   15.13   5.13000    1.91
    22      2.02    3.45     5.32     6.01   4.2000   13.84  -0.74000   -1.62
    23      2.05    1.80     3.91     2.49   2.5625    3.43  -1.17000   -5.89
    24      1.48    0.47     3.63     3.88   2.3650   10.36   1.26000   -7.08
    25      1.97    2.54     3.26     5.62   3.3475   11.67   1.79000    1.49
    26      1.35    4.63     3.54     5.24   3.6900   10.58  -1.58000    7.16
    27     -0.56   -0.36     1.14     1.34   0.3900    7.20   0.00000   -2.60
    28      0.26    0.08     1.17     2.15   0.9150    6.76   1.16000   -1.38
    29      1.22    1.41     4.66     2.47   2.4400    7.00  -2.38000   -8.50
    30     -1.43    0.80    -0.03     1.04   0.0950    6.58  -1.16000    4.96
    31     -1.17    1.66     2.11     1.42   1.0050    8.22  -3.52000    1.24
    32      1.68    1.71     4.07     3.30   2.6900    7.22  -0.80000   -5.46
    33     -0.47    0.93     1.30     0.76   0.6300    4.06  -1.94000    0.12
    34      2.18    6.42     4.64     4.82   4.5150    6.14  -4.06000    7.98
    35      4.21    7.08     6.00     5.65   5.7350    3.24  -3.22000    4.68
    36      8.28    9.55    10.24    10.58   9.6625    7.59  -0.93000    0.23
    37      1.24    4.90     2.42     2.54   2.7750    1.42  -3.54000    8.74
    38      5.94    6.56     9.36     7.72   7.3950    8.14  -2.26000   -6.62
    39      0.87    3.36     2.58     1.73   2.1350    1.80  -3.34000    3.20
    40     -0.09    2.29     3.08     3.35   2.1575   11.11  -2.11000    1.07

             Vocabulary Growth Study: Repeated measures analysis            10
                Transformation to orthogonal polynomial scores

 OBS  GRADE8   GRADE9  GRADE10  GRADE11    MEAN    LINEAR    QUAD     CUBIC

  1   1.1375  2.54172  2.98828  3.46875  2.53406  7.44031  -0.92375  0.99156

             Vocabulary Growth Study: Repeated measures analysis            11
                                 Test of mean

                       General Linear Models Procedure

                   Number of observations in data set = 64

             Vocabulary Growth Study: Repeated measures analysis            12
                                 Test of mean

                       General Linear Models Procedure

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

Model                    1     410.9742562    410.9742562    118.50     0.0001

Error                   63     218.4964188      3.4681971

Uncorrected Total       64     629.4706750

                  R-Square            C.V.       Root MSE            MEAN Mean

                  0.000000        73.49107       1.862310             2.534063

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

INTERCEPT                1     410.9742562    410.9742562    118.50     0.0001

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

INTERCEPT                1     410.9742562    410.9742562    118.50     0.0001

                                        T for H0:    Pr > |T|   Std Error of
Parameter                  Estimate    Parameter=0                Estimate

INTERCEPT               2.534062500          10.89     0.0001     0.23278870

             Vocabulary Growth Study: Repeated measures analysis            13
                    Multivariate Analysis of Trend Scores

                       General Linear Models Procedure

                   Number of observations in data set = 64

             Vocabulary Growth Study: Repeated measures analysis            14
                    Multivariate Analysis of Trend Scores

                       General Linear Models Procedure

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

Model                    1     3542.928006    3542.928006    221.59     0.0001

Error                   63     1007.308394      15.989022

Uncorrected Total       64     4550.236400

                  R-Square            C.V.       Root MSE          LINEAR Mean

                  0.000000        53.74274       3.998628             7.440313

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

INTERCEPT                1     3542.928006    3542.928006    221.59     0.0001

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

INTERCEPT                1     3542.928006    3542.928006    221.59     0.0001

                                        T for H0:    Pr > |T|   Std Error of
Parameter                  Estimate    Parameter=0                Estimate

INTERCEPT               7.440312500          14.89     0.0001     0.49982844

             Vocabulary Growth Study: Repeated measures analysis            15
                    Multivariate Analysis of Trend Scores

                       General Linear Models Procedure

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

Model                    1     54.61210000    54.61210000     19.53     0.0001

Error                   63    176.12630000     2.79565556

Uncorrected Total       64    230.73840000

                  R-Square            C.V.       Root MSE            QUAD Mean

                  0.000000       -181.0037       1.672021            -0.923750

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

INTERCEPT                1     54.61210000    54.61210000     19.53     0.0001

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

INTERCEPT                1     54.61210000    54.61210000     19.53     0.0001

                                        T for H0:    Pr > |T|   Std Error of
Parameter                  Estimate    Parameter=0                Estimate

INTERCEPT              -.9237500000          -4.42     0.0001     0.20900267

             Vocabulary Growth Study: Repeated measures analysis            16
                    Multivariate Analysis of Trend Scores

                       General Linear Models Procedure

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

Model                    1     62.92455625    62.92455625      3.26     0.0756

Error                   63   1214.44904375    19.27696895

Uncorrected Total       64   1277.37360000

                  R-Square            C.V.       Root MSE           CUBIC Mean

                  0.000000        442.7915       4.390555             0.991563

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

INTERCEPT                1     62.92455625    62.92455625      3.26     0.0756

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

INTERCEPT                1     62.92455625    62.92455625      3.26     0.0756

                                        T for H0:    Pr > |T|   Std Error of
Parameter                  Estimate    Parameter=0                Estimate

INTERCEPT              0.9915625000           1.81     0.0756     0.54881931

                            E = Error SS&CP Matrix

                           LINEAR              QUAD             CUBIC

         LINEAR      1007.3083937        108.043275      -62.80243125
         QUAD          108.043275          176.1263        -36.515825
         CUBIC       -62.80243125        -36.515825      1214.4490438

             Vocabulary Growth Study: Repeated measures analysis            17
                    Multivariate Analysis of Trend Scores

                       General Linear Models Procedure
                      Multivariate Analysis of Variance

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

                   DF = 63       LINEAR      QUAD     CUBIC

                   LINEAR      1.000000  0.256510 -0.056781

                                 0.0001    0.0408    0.6558

                   QUAD        0.256510  1.000000 -0.078955

                                 0.0408    0.0001    0.5352

                   CUBIC      -0.056781 -0.078955  1.000000

                                 0.6558    0.5352    0.0001

             Vocabulary Growth Study: Repeated measures analysis            18
                    Multivariate Analysis of Trend Scores

                       General Linear Models Procedure
                      Multivariate Analysis of Variance

                   H = Type III SS&CP Matrix for INTERCEPT

                           LINEAR              QUAD             CUBIC

         LINEAR      3542.9280063       -439.871275      472.16223125
         QUAD         -439.871275           54.6121        -58.621175
         CUBIC       472.16223125        -58.621175       62.92455625

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

Characteristic   Percent                Characteristic Vector  V'EV=1
     Root
                                        LINEAR           QUAD          CUBIC

    4.73982748    100.00            0.03141585    -0.03782127     0.00348759
    0.00000000      0.00           -0.00258587     0.00986525     0.02859394
    0.00000000      0.00            0.00839955     0.06765387     0.00000000

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

                            S=1    M=0.5    N=29.5

 Statistic                     Value          F      Num DF    Den DF  Pr > F

 Wilks' Lambda              0.17422126    96.3765         3        61  0.0001
 Pillai's Trace             0.82577874    96.3765         3        61  0.0001
 Hotelling-Lawley Trace     4.73982748    96.3765         3        61  0.0001
 Roy's Greatest Root        4.73982748    96.3765         3        61  0.0001