Output from ancova1.sas	Source 0 Graphs

                          Freund & Littell: Table 5.1                          1
                        DATA FOR ANALYSIS OF COVARIANCE

                     OBS    TRT    REP    INITIAL    FINAL

                       1     1      1       27.2      32.6
                       2     1      2       32.0      36.6
                       3     1      3       33.0      37.7
                       4     1      4       26.8      31.0
                       5     2      1       28.6      33.8
                       6     2      2       26.8      31.7
                       7     2      3       26.5      30.7
                       8     2      4       26.8      30.4
                       9     3      1       28.6      35.2
                      10     3      2       22.4      29.1
                      11     3      3       23.2      28.9
                      12     3      4       24.4      30.2
                      13     4      1       29.3      35.0
                      14     4      2       21.8      27.0
                      15     4      3       30.3      36.4
                      16     4      4       24.3      30.5
                      17     5      1       20.4      24.6
                      18     5      2       19.6      23.4
                      19     5      3       25.1      30.3
                      20     5      4       18.1      21.8

                          Freund & Littell: Table 5.1                          2
                                Treatment means

              OBS    TRT    _TYPE_    _FREQ_    INITIAL     FINAL

               1      .        0        20       25.760    30.845
               2      1        1         4       29.750    34.475
               3      2        1         4       27.175    31.650
               4      3        1         4       24.650    30.850
               5      4        1         4       26.425    32.225
               6      5        1         4       20.800    25.025

                          Freund & Littell: Table 5.2                          3
                   Analysis of Covariance and Adjusted Means

                        General Linear Models Procedure
                            Class Level Information

                          Class    Levels    Values

                          TRT           5    1 2 3 4 5


                    Number of observations in data set = 20

                          Freund & Littell: Table 5.2                          4
                   Analysis of Covariance and Adjusted Means

                        General Linear Models Procedure

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

Model                    5     354.44717675     70.88943535    235.05     0.0001

Error                   14       4.22232325      0.30159452

Corrected Total         19     358.66950000

                  R-Square             C.V.        Root MSE           FINAL Mean

                  0.988228         1.780438       0.5491762            30.845000

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

TRT                      4     198.40700000     49.60175000    164.47     0.0001
INITIAL                  1     156.04017675    156.04017675    517.38     0.0001

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

TRT                      4      12.08935928      3.02233982     10.02     0.0005
INITIAL                  1     156.04017675    156.04017675    517.38     0.0001

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

INTERCEPT               2.494859769 B         2.43     0.0293     1.02786287
TRT       1            -0.244459378 B        -0.42     0.6780     0.57658196
          2            -0.280271345 B        -0.57     0.5786     0.49290825
          3             1.654757698 B         3.85     0.0018     0.42943036
          4             1.107113519 B         2.35     0.0342     0.47175112
          5             0.000000000 B          .        .          .
INITIAL                 1.083179819          22.75     0.0001     0.04762051

NOTE: The X'X matrix has been found to be singular and a generalized inverse
      was used to solve the normal equations.   Estimates followed by the
      letter 'B' are biased, and are not unique estimators of the parameters.

                          Freund & Littell: Table 5.2                          5
                   Analysis of Covariance and Adjusted Means

                        General Linear Models Procedure
                              Least Squares Means

             TRT         FINAL       Std Err     Pr > |T|   LSMEAN
                        LSMEAN        LSMEAN   H0:LSMEAN=0   Number

             1      30.1531125     0.3339174        0.0001     1
             2      30.1173006     0.2827350        0.0001     2
             3      32.0523296     0.2796295        0.0001     3
             4      31.5046854     0.2764082        0.0001     4
             5      30.3975719     0.3621988        0.0001     5

                        Pr > |T| H0: LSMEAN(i)=LSMEAN(j)

                     i/j     1       2       3       4       5
                     1   .      0.9312  0.0010  0.0061  0.6780
                     2  0.9312   .      0.0003  0.0032  0.5786
                     3  0.0010  0.0003   .      0.1898  0.0018
                     4  0.0061  0.0032  0.1898   .      0.0342
                     5  0.6780  0.5786  0.0018  0.0342   .

NOTE: To ensure overall protection level, only probabilities associated with
      pre-planned comparisons should be used.

                          Freund & Littell: Table 5.2                          6
                 Treatment regression lines (predicted values)

               Plot of PREDICT*INITIAL.  Symbol is value of TRT.

PREDICT |                                 |
        |                                 |
     38 +                                 |                            1
        |                                 |
        |                                 |
        |                                 |                        1
        |                                 |                 4
     36 +                                 |
        |                                 |
        |                                 |          3  4
        |                                 |
        |                                 |
     34 +                                 |
        |                                 |
        |                                 |          2
        |                                 |
        |                                 |
     32 +                                 |
        |                                 |     1
        |                                 |   1
        |                                 |  2
        |                            3    |
     30 +                           4     |
        |                              5  |
        |                       3         |
        |                                 |
        |                    3            |
     28 +                                 |
        |                                 |
        |                 4               |
        |                                 |
        |                                 |
     26 +                                 |
        |                                 |
        |                                 |
        |                                 |
        |            5                    |
     24 +                                 |
        |        5                        |
        |                                 |
        |                                 |
        |                                 |
     22 +  5                              |
        |                                 |
        -+---------+---------+---------+---------+---------+---------+---------+
       17.5      20.0      22.5      25.0      27.5      30.0      32.5     35.0

                                         INITIAL

NOTE: 2 obs hidden.

                          Freund & Littell: Table 5.4                          7
                       RESULTS OF ANALYSIS OF COVARIANCE:
                              ORTHOGONAL CONTRASTS

                        General Linear Models Procedure
                            Class Level Information

                          Class    Levels    Values

                          TRT           5    1 2 3 4 5


                    Number of observations in data set = 20

                          Freund & Littell: Table 5.4                          8
                       RESULTS OF ANALYSIS OF COVARIANCE:
                              ORTHOGONAL CONTRASTS

                        General Linear Models Procedure

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

Model                    5     354.44717675     70.88943535    235.05     0.0001

Error                   14       4.22232325      0.30159452

Corrected Total         19     358.66950000

                  R-Square             C.V.        Root MSE           FINAL Mean

                  0.988228         1.780438       0.5491762            30.845000

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

TRT                      4     198.40700000     49.60175000    164.47     0.0001
INITIAL                  1     156.04017675    156.04017675    517.38     0.0001

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

TRT                      4      12.08935928      3.02233982     10.02     0.0005
INITIAL                  1     156.04017675    156.04017675    517.38     0.0001

Contrast                DF      Contrast SS     Mean Square   F Value     Pr > F

CONTROL V TREATMENT      1       0.52000411      0.52000411      1.72     0.2103
BOTTOM V TOP             1       0.33879074      0.33879074      1.12     0.3071
INTAKE V DISCHARGE       1       8.59108077      8.59108077     28.49     0.0001
BOT/TOP * INT/DIS        1       0.22934155      0.22934155      0.76     0.3979

                         Test homogeneity of regression                        9

                        General Linear Models Procedure
                            Class Level Information

                          Class    Levels    Values

                          TRT           5    1 2 3 4 5


                    Number of observations in data set = 20

                         Test homogeneity of regression                       10

                        General Linear Models Procedure

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

Model                    9     355.83549084     39.53727676    139.51     0.0001

Error                   10       2.83400916      0.28340092

Corrected Total         19     358.66950000

                  R-Square             C.V.        Root MSE           FINAL Mean

                  0.992099         1.725901       0.5323541            30.845000

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

TRT                      4     198.40700000     49.60175000    175.02     0.0001
INITIAL                  1     156.04017675    156.04017675    550.60     0.0001
INITIAL*TRT              4       1.38831410      0.34707852      1.22     0.3602

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

TRT                      4       1.69618688      0.42404672      1.50     0.2752
INITIAL                  1      68.52892317     68.52892317    241.81     0.0001
INITIAL*TRT              4       1.38831410      0.34707852      1.22     0.3602