Output from health.sas

Source
2 Graphs

Suppression effect: Health, Height and Weight 1

                                   (NOTE: 2 gone.)            (NOTE: 3 gone.)
    15 +                       15 +                       15 +
       |                          |       7 F                |    7 F
HEALTH |                   HEALTH |  D      C         HEALTH |  D   C
       |                          |    61                    |    13
       |                          |     G      E             |     G   E
    10 +                       10 +   8  5                10 +     5
       |                          |   A  4                   |     A4
       |                          |      2                   |      2
       |                          |                          |
       |                          |  B                       |    B
     5 +                        5 +                        5 +
       -+------+------+           --+---+---+---+-           --+---+---+---+-
        5     10     15             5  10  15  20              0  10  20  30

            HEALTH                     HEIGHT                     WEIGHT


        (NOTE: 1 gone.)                                       (NOTE: 4 gone.)
HEIGHT |                   HEIGHT |                   HEIGHT |
    20 +        E              20 +                       20 +         E
       |                          |                          |
       |                          |                          |
    15 +           C F         15 +                       15 +      C
       |                          |                          |
       |    2 9 5   7             |                          |    752
    10 +      4 G 1            10 +                       10 +    134
       |      A  6                |                          |     6
       | B     8   D              |                          |  D B8
     5 +                        5 +                        5 +
       -+------+------+           --+---+---+---+-           --+---+---+---+-
        5     10     15             5  10  15  20              0  10  20  30

            HEALTH                     HEIGHT                     WEIGHT


        (NOTE: 2 gone.)            (NOTE: 2 gone.)
    20 +        E              20 +            E          20 +
       |                          |                          |
WEIGHT |                   WEIGHT |                   WEIGHT |
       |    2        F            |      2  F                |
       |      4    C              |      4  C                |
    10 +       8563            10 +   8635                10 +
       | B    A     7             |  BA   7                  |
       |          1               |     1                    |
       |           D              |  D                       |
       |                          |                          |
     0 +                        0 +                        0 +
       -+------+------+           --+---+---+---+-           --+---+---+---+-
        5     10     15             5  10  15  20              0  10  20  30

            HEALTH                     HEIGHT                     WEIGHT

Suppression effect: Health, Height and Weight 2

Model: MODEL1
Dependent Variable: HEALTH
                             Analysis of Variance

                                Sum of         Mean
       Source          DF      Squares       Square      F Value       Prob>F
       Model            1      9.74366      9.74366        2.132       0.1663
       Error           14     63.97634      4.56974
       C Total         15     73.72000

           Root MSE       2.13769     R-square       0.1322
           Dep Mean      10.85000     Adj R-sq       0.0702
           C.V.          19.70225
                             Parameter Estimates

                      Parameter      Standard    T for H0:
     Variable  DF      Estimate         Error   Parameter=0    Prob > |T|
     INTERCEP   1      8.373452    1.77822832         4.709        0.0003
     HEIGHT     1      0.228913    0.15676682         1.460        0.1663

Suppression effect: Health, Height and Weight 3

Model: MODEL2
Dependent Variable: HEALTH
                             Analysis of Variance

                                Sum of         Mean
       Source          DF      Squares       Square      F Value       Prob>F
       Model            1      1.13688      1.13688        0.219       0.6468
       Error           14     72.58312      5.18451
       C Total         15     73.72000

           Root MSE       2.27695     R-square       0.0154
           Dep Mean      10.85000     Adj R-sq      -0.0549
           C.V.          20.98573
                             Parameter Estimates

                      Parameter      Standard    T for H0:
     Variable  DF      Estimate         Error   Parameter=0    Prob > |T|
     INTERCEP   1     11.592353    1.68438521         6.882        0.0001
     WEIGHT     1     -0.071166    0.15197439        -0.468        0.6468

Suppression effect: Health, Height and Weight 4

Model: MODEL3
Dependent Variable: HEALTH
                             Analysis of Variance

                                Sum of         Mean
       Source          DF      Squares       Square      F Value       Prob>F
       Model            2     49.23825     24.61912       13.073       0.0008
       Error           13     24.48175      1.88321
       C Total         15     73.72000

           Root MSE       1.37230     R-square       0.6679
           Dep Mean      10.85000     Adj R-sq       0.6168
           C.V.          12.64794
                             Parameter Estimates

                      Parameter      Standard    T for H0:
     Variable  DF      Estimate         Error   Parameter=0    Prob > |T|
     INTERCEP   1      8.892424    1.14715208         7.752        0.0001
     HEIGHT     1      0.883361    0.17478704         5.054        0.0002
     WEIGHT     1     -0.728512    0.15908065        -4.580        0.0005

Suppression effect: Health, Height and Weight 5

                       Partial Regression Residual Plot
       --+----+----+----+----+----+----+----+----+----+----+----+----+----+---
HEALTH |                                                                     |
       |                                                                     |
     6 +                                                                     +
       |                                                              D      |
       |                                                                     |
       |                                                     8               |
       |                                                                     |
       |                                                                     |
       |                                                                     |
     4 +                                                                     +
       |                                                                     |
       |                                               6                     |
       |                                                                     |
       |                                                                     |
       |                                                    A                |
       |                                           3                         |
     2 +                                            G   1                    +
       |                                                                     |
       |                                                           B         |
       |                                                                     |
       |                                                                     |
       |                                        4                            |
       |                                                                     |
     0 +                                                                     +
       |                                                                     |
       |                                      ?                              |
       |                      F             2                                |
       |                                                                     |
       |                                     5                               |
       |                                                                     |
    -2 +                                                                     +
       |                        C                                            |
       |                                                                     |
       |                                                                     |
       |                                                                     |
       |                                                                     |
       |                                                                     |
    -4 +                                                                     +
       |                                                                     |
       |                                                                     |
       |                                                                     |
       |                                                                     |
       |                                                                     |
       |                                                                     |
    -6 +   E                                                                 +
       |                                                                     |
       --+----+----+----+----+----+----+----+----+----+----+----+----+----+---
       -0.7 -0.6 -0.5 -0.4 -0.3 -0.2 -0.1  0.0  0.1  0.2  0.3  0.4  0.5  0.6

                                      INTERCEP

Suppression effect: Health, Height and Weight 6

                       Partial Regression Residual Plot
       -------+------+------+------+------+------+------+------+------+-------
     4 +                                                                     +
       |                                                                     |
       |                                                                     |
       |                                                 F                   |
       |                                                                     |
     3 +                                                                     +
       |                                                              7      |
       |                                                                     |
       |                                                      C              |
       |                                                                     |
     2 +                                                                     +
       |                                                                     |
       |                                                                     |
       |                                    3D                               |
       |                                                                     |
     1 +                                                                     +
       |                            6              1                         |
HEALTH |                                        E                            |
       |                                                                     |
       |                               G                                     |
     0 +                                                                     +
       |                                                                     |
       |                                           5                         |
       |                                                                     |
       |           8                                                         |
    -1 +                                                                     +
       |                                                                     |
       |                        4                                            |
       |                           9                                         |
       |                     A                                               |
    -2 +                                                                     +
       |                                                                     |
       |                                                                     |
       |                     2                                               |
       |                                                                     |
    -3 +                                                                     +
       |                                                                     |
       |                                                                     |
       |                                                                     |
       |                                                                     |
    -4 +                                                                     +
       |                                                                     |
       |                                                                     |
       |                                                                     |
       |                                                                     |
    -5 +                B                                                    +
       -------+------+------+------+------+------+------+------+------+-------
             -4     -3     -2     -1      0      1      2      3      4

                                       HEIGHT

Suppression effect: Health, Height and Weight 7

                       Partial Regression Residual Plot
       -------+------+------+------+------+------+------+------+------+-------
HEALTH |                                                                     |
       |                                                                     |
     3 +                     D                                               +
       |                                                                     |
       |        7                                                            |
       |                                                                     |
       |                                                                     |
       |                                  F                                  |
     2 +                                                                     +
       |                                                                     |
       |                                                                     |
       |                         1          3                                |
       |                            C                                        |
       |                                            6                        |
     1 +                                                                     +
       |                                                                     |
       |                                                                     |
       |                                                                     |
       |                                           G                         |
       |                                                                     |
     0 +                                                              8      +
       |                                                                     |
       |                                                                     |
       |                                                                     |
       |                                5                                    |
       |                                                                     |
    -1 +                                                 A                   +
       |                                                                     |
       |                                                                     |
       |                                                     4               |
       |                                                                     |
       |                                                   9                 |
    -2 +                                                                     +
       |                                                            E        |
       |                                                                     |
       |                                                                     |
       |                                                                     |
       |                                                                     |
    -3 +                                                            2        +
       |                                                                     |
       |                                                                     |
       |                                                                     |
       |                                                                     |
       |                                                  B                  |
    -4 +                                                                     +
       |                                                                     |
       -------+------+------+------+------+------+------+------+------+-------
             -5     -4     -3     -2     -1      0      1      2      3

                                       WEIGHT

Suppression effect: Health, Height and Weight 8

Model: MODEL4
Dependent Variable: WEIGHT
                             Analysis of Variance

                                Sum of         Mean
       Source          DF      Squares       Square      F Value       Prob>F
       Model            1    150.05870    150.05870       28.231       0.0001
       Error           14     74.41568      5.31541
       C Total         15    224.47437

           Root MSE       2.30552     R-square       0.6685
           Dep Mean      10.43125     Adj R-sq       0.6448
           C.V.          22.10201
                             Parameter Estimates

                      Parameter      Standard    T for H0:
     Variable  DF      Estimate         Error   Parameter=0    Prob > |T|
     INTERCEP   1      0.712372    1.91782979         0.371        0.7159
     HEIGHT     1      0.898337    0.16907394         5.313        0.0001

Suppression effect: Health, Height and Weight 9

       -------+------+------+------+------+------+------+------+------+-------
    15 +                                                                     +
       |                                                                     |
       |                                                                     |
       |                                                                     |
       |                                  F                                  |
    14 +        7                                                            +
       |                                                                     |
       |                                                                     |
       |                                                                     |
       |                            C                                        |
    13 +                                                                     +
       |                     D                                               |
       |                                                                     |
       |                                    3                                |
       |                                                                     |
    12 +                         1                                           +
       |                                            6                        |
HEALTH |                                                                     |
       |                                                                     |
       |                                                                     |
    11 +                                           G                         +
       |                                                            E        |
       |                                                                     |
       |                                5                                    |
       |                                                                     |
    10 +                                                              8      +
       |                                                                     |
       |                                                                     |
       |                                                     4               |
       |                                                 A 9                 |
     9 +                                                                     +
       |                                                                     |
       |                                                                     |
       |                                                                     |
       |                                                                     |
     8 +                                                            2        +
       |                                                                     |
       |                                                                     |
       |                                                                     |
       |                                                                     |
     7 +                                                                     +
       |                                                                     |
       |                                                                     |
       |                                                                     |
       |                                                                     |
     6 +                                                  B                  +
       -------+------+------+------+------+------+------+------+------+-------
             -5     -4     -3     -2     -1      0      1      2      3

                                 Residual   RESIDUAL

Suppression effect: Health, Height and Weight 10

                               Full regression

                              Regression weights

                              B
                              INTCEPT  8.8924235
                              HEIGHT   0.8833612
                              WEIGHT   -0.728512

                    High leverage or large residual points

                  XL    HEIGHT    WEIGHT  Leverage  RStudent

                  7       12.3         7 0.3790178 -0.686712
                  B        6.1       7.5 0.2052315 -2.875013
                  E       19.3      20.7 0.5436943 -0.167167

                              Partial Residuals
           UINTCEPT  VINTCEPT   UHEIGHT   VHEIGHT   UWEIGHT   VWEIGHT

              1.891     0.240     0.892     1.283     1.475    -2.357
             -0.952     0.003    -2.617    -1.851    -2.983     2.747
              2.254     0.133     1.377     0.349     1.546    -0.655
              0.538     0.075    -1.331    -1.361    -1.423     1.775
             -1.402     0.026    -0.481     1.302    -0.675    -1.313
              3.562     0.227     0.769    -0.877     1.243     0.413
             -0.479     0.031     2.806     4.035     2.711    -4.762
              5.134     0.342    -0.866    -3.347    -0.045     2.930
             -0.459     0.038    -1.624    -0.935    -1.837     1.426
              2.688     0.325    -1.859    -1.879    -1.059     1.181
              1.313     0.464    -5.059    -2.537    -3.770     1.308
             -2.153    -0.233     2.383     2.791     1.293    -1.887
              5.716     0.529     1.442     0.488     3.053    -2.802
             -5.968    -0.653     0.581     0.840    -2.091     2.650
             -0.879    -0.271     3.468     2.198     2.224    -0.957
              1.924     0.153     0.119    -0.498     0.337     0.304

Suppression effect: Health, Height and Weight 11

                             Correlation Analysis
                 3 'WITH' Variables:  VINTCEPT VHEIGHT  VWEIGHT
                 3 'VAR'  Variables:  UINTCEPT UHEIGHT  UWEIGHT

   Pearson Correlation Coefficients / Prob > |R| under Ho: Rho=0 / N = 16
                              UINTCEPT           UHEIGHT           UWEIGHT

   VINTCEPT                    0.89890          -0.39729           0.08134
   Partial Intercept            0.0001            0.1276            0.7646

   VHEIGHT                    -0.43869           0.81407           0.64240
   Partial height               0.0892            0.0001            0.0073

   VWEIGHT                    -0.09306          -0.66559          -0.78570
   Partial weight               0.7318            0.0049            0.0003

12

Graphic output from health.sas

Partial regression plot for health
[PARTIAL 09/27/99 ]