Output from logist1a.sas

Source
0 Graphs

Arthritis treatment data 1

                                       I       _
                                       M   B   T        A    A   S
             T                         P   E   R   _    G    G   E
             R                         R   T   E   S    E    E   X     A
      O      E        S            A   O   T   A   E    S    T   T     G
      B      A        E       I    G   V   E   T   X    E    R   R     E
      S      T        X       D    E   E   R   _   _    X    T   T     2
      1   Treated   Male     57   27   1   1   1   0    0   27   0    729
      2   Placebo   Male      9   37   0   0   0   0    0    0   0   1369
      3   Treated   Male     46   29   0   0   1   0    0   29   0    841
      4   Placebo   Male     14   44   0   0   0   0    0    0   0   1936
      5   Treated   Male     77   30   0   0   1   0    0   30   0    900
      6   Placebo   Male     73   50   0   0   0   0    0    0   0   2500
      7   Treated   Male     17   32   2   1   1   0    0   32   0   1024
      8   Placebo   Male     74   51   0   0   0   0    0    0   0   2601
      9   Treated   Male     36   46   2   1   1   0    0   46   0   2116
     10   Placebo   Male     25   52   0   0   0   0    0    0   0   2704
     11   Treated   Male     23   58   2   1   1   0    0   58   0   3364
     12   Placebo   Male     18   53   0   0   0   0    0    0   0   2809
     13   Treated   Male     75   59   0   0   1   0    0   59   0   3481
     14   Placebo   Male     21   59   0   0   0   0    0    0   0   3481
     15   Treated   Male     39   59   2   1   1   0    0   59   0   3481
     16   Placebo   Male     52   59   0   0   0   0    0    0   0   3481
     17   Treated   Male     33   63   0   0   1   0    0   63   0   3969
     18   Placebo   Male     45   62   0   0   0   0    0    0   0   3844
     19   Treated   Male     55   63   0   0   1   0    0   63   0   3969
     20   Placebo   Male     41   62   0   0   0   0    0    0   0   3844
     21   Treated   Male     30   64   0   0   1   0    0   64   0   4096
     22   Placebo   Male      8   63   2   1   0   0    0    0   0   3969
     23   Treated   Male      5   64   1   1   1   0    0   64   0   4096
     24   Placebo   Female   80   23   0   0   0   1   23    0   0    529
     25   Treated   Male     63   69   0   0   1   0    0   69   0   4761
     26   Placebo   Female   12   30   0   0   0   1   30    0   0    900
     27   Treated   Male     83   70   2   1   1   0    0   70   0   4900
     28   Placebo   Female   29   30   0   0   0   1   30    0   0    900
     29   Treated   Female   66   23   0   0   1   1   23   23   1    529
     30   Placebo   Female   50   31   1   1   0   1   31    0   0    961
     31   Treated   Female   40   32   0   0   1   1   32   32   1   1024
     32   Placebo   Female   38   32   0   0   0   1   32    0   0   1024
     33   Treated   Female    6   37   1   1   1   1   37   37   1   1369
     34   Placebo   Female   35   33   2   1   0   1   33    0   0   1089
     35   Treated   Female    7   41   0   0   1   1   41   41   1   1681
     36   Placebo   Female   51   37   0   0   0   1   37    0   0   1369
     37   Treated   Female   72   41   2   1   1   1   41   41   1   1681
     38   Placebo   Female   54   44   0   0   0   1   44    0   0   1936
     39   Treated   Female   37   48   0   0   1   1   48   48   1   2304
     40   Placebo   Female   76   45   0   0   0   1   45    0   0   2025
     41   Treated   Female   82   48   2   1   1   1   48   48   1   2304
     42   Placebo   Female   16   46   0   0   0   1   46    0   0   2116
     43   Treated   Female   53   55   2   1   1   1   55   55   1   3025
     44   Placebo   Female   69   48   0   0   0   1   48    0   0   2304
     45   Treated   Female   79   55   2   1   1   1   55   55   1   3025

Arthritis treatment data 2

                                       I       _
                                       M   B   T        A    A   S
             T                         P   E   R   _    G    G   E
             R                         R   T   E   S    E    E   X     A
      O      E        S            A   O   T   A   E    S    T   T     G
      B      A        E       I    G   V   E   T   X    E    R   R     E
      S      T        X       D    E   E   R   _   _    X    T   T     2
     46   Placebo   Female   31   49   0   0   0   1   49    0   0   2401
     47   Treated   Female   26   56   2   1   1   1   56   56   1   3136
     48   Placebo   Female   20   51   0   0   0   1   51    0   0   2601
     49   Treated   Female   28   57   2   1   1   1   57   57   1   3249
     50   Placebo   Female   68   53   0   0   0   1   53    0   0   2809

Arthritis treatment data 3 Ordinary linear regression

Model: MODEL1
Dependent Variable: BETTER
                             Analysis of Variance

                                Sum of         Mean
       Source          DF      Squares       Square      F Value       Prob>F
       Model            1      1.75242      1.75242        7.466       0.0077
       Error           82     19.24758      0.23473
       C Total         83     21.00000

           Root MSE       0.48449     R-square       0.0834
           Dep Mean       0.50000     Adj R-sq       0.0723
           C.V.          96.89718
                             Parameter Estimates

                      Parameter      Standard    T for H0:
     Variable  DF      Estimate         Error   Parameter=0    Prob > |T|
     INTERCEP   1     -0.107170    0.22841536        -0.469        0.6402
     AGE        1      0.011379    0.00416466         2.732        0.0077

Arthritis treatment data 4 Ordinary linear regression

       --+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+--
BETTER |                                                                     |
       |                                                                     |
       |                                                                     |
       |                                                                     |
       |                                                                     |
   1.0 +         M    FM F   F    F     M  F      FFFF ??FFF ?MFFF FF?    F  +
       |                                                                     |
       |                                                                     |
       |                                                                     |
       |                                                                     |
       |                                                                     |
       |                                                                     |
   0.8 +                                                                     +
       |                                                                     |
       |                                                                  @  |
       |                                                                     |
       |                                                            @@       |
       |                                                        @@ @         |
       |                                                      @@             |
   0.6 +                                                  @@ @               +
       |                                                @@                   |
       |                                            @@ @                     |
       |                                          @@                         |
       |                                      @@ @                           |
       |                                    @@                               |
       |                                @  @                                 |
   0.4 +                              @@                                     +
       |                          @                                          |
       |                                                                     |
       |                     @                                               |
       |                                                                     |
       |              @@ @                                                   |
       |            @@                                                       |
   0.2 +         @                                                           +
       |                                                                     |
       |     @                                                               |
       |                                                                     |
       |                                                                     |
       |                                                                     |
       |                                                                     |
   0.0 +     F      M? F     ?    F   ?FF  FFM?M ?F  F FM FM M? F   ?        +
       |                                                                     |
       |                                                                     |
       |                                                                     |
       |                                                                     |
       --+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+--
        20    25    30    35    40    45    50    55    60    65    70    75

                                         AGE

Arthritis treatment data 5 Predicting Improved vs. Not Improved from Age

                            The LOGISTIC Procedure
    Data Set: WORK.ARTHRIT
    Response Variable: BETTER
    Response Levels: 2
    Number of Observations: 84
    Link Function: Logit

                               Response Profile

                       Ordered
                         Value  BETTER           Count
                             1  improved            42
                             2  not improved        42


     Model Fitting Information and Testing Global Null Hypothesis BETA=0

                              Intercept
                Intercept        and
  Criterion       Only       Covariates    Chi-Square for Covariates
  AIC             118.449       113.164         .
  SC              120.880       118.025         .
  -2 LOG L        116.449       109.164        7.285 with 1 DF (p=0.0070)
  Score              .             .           7.010 with 1 DF (p=0.0081)

                   Analysis of Maximum Likelihood Estimates

              Parameter Standard    Wald       Pr >    Standardized     Odds
  Variable DF  Estimate   Error  Chi-Square Chi-Square   Estimate      Ratio
  INTERCPT 1    -2.6421   1.0732     6.0611     0.0138            .     .
  AGE      1     0.0492   0.0194     6.4733     0.0110     0.346714    1.050

        Association of Predicted Probabilities and Observed Responses
                  Concordant = 66.0%          Somers' D = 0.348
                  Discordant = 31.2%          Gamma     = 0.358
                  Tied       =  2.7%          Tau-a     = 0.176
                  (1764 pairs)                c         = 0.674

Arthritis treatment data 6 Predicting Improved vs. Not Improved from Age

                Plot of BETTER*AGE.   Symbol is value of SEX.
                Plot of PREDICT*AGE.  Symbol used is '@'.

      BETTER |
             |
improved     +        M   FMF   F   F    M F     FFFFMMFFFMMFFFFFM   F
             |
             |
             |
             |
             |
             |
         0.8 +
             |
             |                                                       @
             |
             |                                                  @@
             |                                               @@@
             |                                             @@
         0.6 +                                          @@@
             |                                        @@
             |                                     @@@
             |                                   @@
             |                                 @@
             |                              @@@
             |                             @
         0.4 +                          @@
             |                         @
             |                      @
             |                  @
             |
             |            @@@
             |          @@
         0.2 +        @
             |    @
             |
             |
             |
             |
             |
not improved +    F     MM F    M   F  MFF FFMMMMF  FFM FMMM F  M
             |
             --+---------+---------+---------+---------+---------+---------+--
              20        30        40        50        60        70        80

                                            AGE

NOTE: 81 obs hidden.

Arthritis treatment data 7 Adding Sex and Treatment

                            The LOGISTIC Procedure
    Data Set: WORK.RESULTS
    Response Variable: BETTER
    Response Levels: 2
    Number of Observations: 84
    Link Function: Logit

                               Response Profile

                       Ordered
                         Value  BETTER           Count
                             1  improved            42
                             2  not improved        42


     Model Fitting Information and Testing Global Null Hypothesis BETA=0

                              Intercept
                Intercept        and
  Criterion       Only       Covariates    Chi-Square for Covariates
  AIC             118.449       100.063         .
  SC              120.880       109.786         .
  -2 LOG L        116.449        92.063       24.386 with 3 DF (p=0.0001)
  Score              .             .          22.005 with 3 DF (p=0.0001)

                   Analysis of Maximum Likelihood Estimates

              Parameter Standard    Wald       Pr >    Standardized     Odds
  Variable DF  Estimate   Error  Chi-Square Chi-Square   Estimate      Ratio
  INTERCPT 1    -4.5033   1.3074    11.8649     0.0006            .     .
  AGE      1     0.0487   0.0207     5.5655     0.0183     0.343176    1.050
  _SEX_    1     1.4878   0.5948     6.2576     0.0124     0.377296    4.427
  _TREAT_  1     1.7598   0.5365    10.7596     0.0010     0.487891    5.811

        Association of Predicted Probabilities and Observed Responses
                  Concordant = 78.9%          Somers' D = 0.583
                  Discordant = 20.5%          Gamma     = 0.587
                  Tied       =  0.6%          Tau-a     = 0.295
                  (1764 pairs)                c         = 0.792

Arthritis treatment data 8 Testing all interactions via forward selection

                            The LOGISTIC Procedure
    Data Set: WORK.ARTHRIT
    Response Variable: BETTER
    Response Levels: 2
    Number of Observations: 84
    Link Function: Logit

                               Response Profile

                       Ordered
                         Value  BETTER           Count
                             1  improved            42
                             2  not improved        42


                         Forward Selection Procedure

Step  0. The following variables were entered:
         INTERCPT  _SEX_     _TREAT_   AGE

     Model Fitting Information and Testing Global Null Hypothesis BETA=0

                              Intercept
                Intercept        and
  Criterion       Only       Covariates    Chi-Square for Covariates
  AIC             118.449       100.063         .
  SC              120.880       109.786         .
  -2 LOG L        116.449        92.063       24.386 with 3 DF (p=0.0001)
  Score              .             .          22.005 with 3 DF (p=0.0001)


              Residual Chi-Square = 4.0268 with 4 DF (p=0.4024)



Step  1. Variable AGESEX entered:

Arthritis treatment data 9 Testing all interactions via forward selection

                            The LOGISTIC Procedure

     Model Fitting Information and Testing Global Null Hypothesis BETA=0

                              Intercept
                Intercept        and
  Criterion       Only       Covariates    Chi-Square for Covariates
  AIC             118.449        98.640         .
  SC              120.880       110.794         .
  -2 LOG L        116.449        88.640       27.809 with 4 DF (p=0.0001)
  Score              .             .          24.472 with 4 DF (p=0.0001)


              Residual Chi-Square = 0.2903 with 3 DF (p=0.9618)



Step  2. Variable SEXTRT entered:

     Model Fitting Information and Testing Global Null Hypothesis BETA=0

                              Intercept
                Intercept        and
  Criterion       Only       Covariates    Chi-Square for Covariates
  AIC             118.449       100.369         .
  SC              120.880       114.954         .
  -2 LOG L        116.449        88.369       28.080 with 5 DF (p=0.0001)
  Score              .             .          24.633 with 5 DF (p=0.0002)


              Residual Chi-Square = 0.0305 with 2 DF (p=0.9849)



Step  3. Variable AGE2 entered:

Arthritis treatment data 10 Testing all interactions via forward selection

                            The LOGISTIC Procedure

     Model Fitting Information and Testing Global Null Hypothesis BETA=0

                              Intercept
                Intercept        and
  Criterion       Only       Covariates    Chi-Square for Covariates
  AIC             118.449       102.350         .
  SC              120.880       119.366         .
  -2 LOG L        116.449        88.350       28.099 with 6 DF (p=0.0001)
  Score              .             .          24.647 with 6 DF (p=0.0004)


              Residual Chi-Square = 0.0110 with 1 DF (p=0.9166)



Step  4. Variable AGETRT entered:

     Model Fitting Information and Testing Global Null Hypothesis BETA=0

                              Intercept
                Intercept        and
  Criterion       Only       Covariates    Chi-Square for Covariates
  AIC             118.449       104.339         .
  SC              120.880       123.785         .
  -2 LOG L        116.449        88.339       28.110 with 7 DF (p=0.0002)
  Score              .             .          24.649 with 7 DF (p=0.0009)


NOTE: All explanatory variables have been entered into the model.

                    Summary of Forward Selection Procedure

                    Variable    Number       Score         Pr >
            Step    Entered         In    Chi-Square    Chi-Square
               1    AGESEX           4        3.6874        0.0548
               2    SEXTRT           5        0.2588        0.6110
               3    AGE2             6        0.0194        0.8893
               4    AGETRT           7        0.0110        0.9166

Arthritis treatment data 11 Testing all interactions via forward selection

                            The LOGISTIC Procedure

                   Analysis of Maximum Likelihood Estimates

              Parameter Standard    Wald       Pr >    Standardized     Odds
  Variable DF  Estimate   Error  Chi-Square Chi-Square   Estimate      Ratio
  INTERCPT 1    -1.3492   5.4280     0.0618     0.8037            .     .
  _SEX_    1    -2.3273   2.9165     0.6367     0.4249    -0.590162    0.098
  _TREAT_  1     1.9655   3.0666     0.4108     0.5216     0.544916    7.138
  AGE      1    -0.0329   0.1869     0.0310     0.8602    -0.231651    0.968
  AGESEX   1     0.0797   0.0501     2.5241     0.1121     1.178622    1.083
  AGETRT   1    0.00541   0.0517     0.0110     0.9166     0.086555    1.005
  SEXTRT   1    -0.6324   1.3744     0.2117     0.6454    -0.163804    0.531
  AGE2     1   0.000276  0.00177     0.0243     0.8761     0.190087    1.000

        Association of Predicted Probabilities and Observed Responses
                  Concordant = 81.0%          Somers' D = 0.629
                  Discordant = 18.0%          Gamma     = 0.636
                  Tied       =  1.0%          Tau-a     = 0.318
                  (1764 pairs)                c         = 0.815

Arthritis treatment data 12 Influence diagnostics

                            The LOGISTIC Procedure
    Data Set: WORK.ARTHRIT
    Response Variable: BETTER
    Response Levels: 2
    Number of Observations: 84
    Link Function: Logit

                               Response Profile

                       Ordered
                         Value  BETTER           Count
                             1  improved            42
                             2  not improved        42


     Model Fitting Information and Testing Global Null Hypothesis BETA=0

                              Intercept
                Intercept        and
  Criterion       Only       Covariates    Chi-Square for Covariates
  AIC             118.449       100.063         .
  SC              120.880       109.786         .
  -2 LOG L        116.449        92.063       24.386 with 3 DF (p=0.0001)
  Score              .             .          22.005 with 3 DF (p=0.0001)

                   Analysis of Maximum Likelihood Estimates

              Parameter Standard    Wald       Pr >    Standardized     Odds
  Variable DF  Estimate   Error  Chi-Square Chi-Square   Estimate      Ratio
  INTERCPT 1    -4.5033   1.3074    11.8649     0.0006            .     .
  _SEX_    1     1.4878   0.5948     6.2576     0.0124     0.377296    4.427
  _TREAT_  1     1.7598   0.5365    10.7596     0.0010     0.487891    5.811
  AGE      1     0.0487   0.0207     5.5655     0.0183     0.343176    1.050

        Association of Predicted Probabilities and Observed Responses
                  Concordant = 78.9%          Somers' D = 0.583
                  Discordant = 20.5%          Gamma     = 0.587
                  Tied       =  0.6%          Tau-a     = 0.295
                  (1764 pairs)                c         = 0.792

Arthritis treatment data 13 Influence diagnostics

                            The LOGISTIC Procedure

                                                  Regression Diagnostics

                                                     Pearson Residual
                       Covariates
     Case                                                  (1 unit = 0.36)
    Number      _SEX_    _TREAT_        AGE      Value    -8  -4  0 2 4 6 8
         1          0     1.0000    27.0000     2.0415   |        |     *  |
         2          0          0    37.0000    -0.2593   |       *|        |
         3          0     1.0000    29.0000    -0.5143   |       *|        |
         4          0          0    44.0000    -0.3075   |       *|        |
         5          0     1.0000    30.0000    -0.5270   |       *|        |
         6          0          0    50.0000    -0.3559   |       *|        |
         7          0     1.0000    32.0000     1.8072   |        |    *   |
         8          0          0    51.0000    -0.3647   |       *|        |
         9          0     1.0000    46.0000     1.2848   |        |   *    |
        10          0          0    52.0000    -0.3737   |       *|        |
        11          0     1.0000    58.0000     0.9590   |        |  *     |
        12          0          0    53.0000    -0.3829   |       *|        |
        13          0     1.0000    59.0000    -1.0685   |     *  |        |
        14          0          0    59.0000    -0.4432   |       *|        |
        15          0     1.0000    59.0000     0.9359   |        |  *     |
        16          0          0    59.0000    -0.4432   |       *|        |
        17          0     1.0000    63.0000    -1.1779   |     *  |        |
        18          0          0    62.0000    -0.4769   |       *|        |
        19          0     1.0000    63.0000    -1.1779   |     *  |        |
        20          0          0    62.0000    -0.4769   |       *|        |
        21          0     1.0000    64.0000    -1.2070   |     *  |        |
        22          0          0    63.0000     2.0465   |        |     *  |
        23          0     1.0000    64.0000     0.8285   |        | *      |
        24     1.0000          0    23.0000    -0.3878   |       *|        |
        25          0     1.0000    69.0000    -1.3634   |    *   |        |
        26     1.0000          0    30.0000    -0.4600   |       *|        |
        27          0     1.0000    70.0000     0.7158   |        | *      |
        28     1.0000          0    30.0000    -0.4600   |       *|        |
        29     1.0000     1.0000    23.0000    -0.9350   |     *  |        |
        30     1.0000          0    31.0000     2.1216   |        |     *  |
        31     1.0000     1.0000    32.0000    -1.1643   |     *  |        |
        32     1.0000          0    32.0000    -0.4830   |       *|        |
        33     1.0000     1.0000    37.0000     0.7603   |        | *      |
        34     1.0000          0    33.0000     2.0206   |        |     *  |
        35     1.0000     1.0000    41.0000    -1.4499   |    *   |        |
        36     1.0000          0    37.0000    -0.5456   |      * |        |
        37     1.0000     1.0000    41.0000     0.6897   |        | *      |
        38     1.0000          0    44.0000    -0.6471   |      * |        |
        39     1.0000     1.0000    48.0000    -1.7196   |   *    |        |
        40     1.0000          0    45.0000    -0.6630   |      * |        |
        41     1.0000     1.0000    48.0000     0.5815   |        | *      |

Arthritis treatment data 14 Influence diagnostics

                            The LOGISTIC Procedure

                                                  Regression Diagnostics

                                                     Pearson Residual
                       Covariates
     Case                                                  (1 unit = 0.36)
    Number      _SEX_    _TREAT_        AGE      Value    -8  -4  0 2 4 6 8
        42     1.0000          0    46.0000    -0.6794   |      * |        |
        43     1.0000     1.0000    55.0000     0.4903   |        |*       |
        44     1.0000          0    48.0000    -0.7133   |      * |        |
        45     1.0000     1.0000    55.0000     0.4903   |        |*       |
        46     1.0000          0    49.0000    -0.7309   |      * |        |
        47     1.0000     1.0000    56.0000     0.4785   |        |*       |
        48     1.0000          0    51.0000    -0.7674   |      * |        |
        49     1.0000     1.0000    57.0000     0.4670   |        |*       |
        50     1.0000          0    53.0000    -0.8058   |      * |        |
        51     1.0000     1.0000    57.0000     0.4670   |        |*       |
        52     1.0000          0    54.0000    -0.8257   |      * |        |
        53     1.0000     1.0000    57.0000     0.4670   |        |*       |
        54     1.0000          0    54.0000    -0.8257   |      * |        |
        55     1.0000     1.0000    58.0000    -2.1942   |  *     |        |
        56     1.0000          0    54.0000     1.2112   |        |  *     |
        57     1.0000     1.0000    59.0000     0.4448   |        |*       |
        58     1.0000          0    55.0000     1.1820   |        |  *     |
        59     1.0000     1.0000    59.0000     0.4448   |        |*       |
        60     1.0000          0    57.0000    -0.8883   |      * |        |
        61     1.0000     1.0000    60.0000     0.4341   |        |*       |
        62     1.0000          0    57.0000     1.1258   |        |  *     |
        63     1.0000     1.0000    61.0000     0.4236   |        |*       |
        64     1.0000          0    58.0000     1.0986   |        |  *     |
        65     1.0000     1.0000    62.0000     0.4134   |        |*       |
        66     1.0000          0    59.0000     1.0722   |        |  *     |
        67     1.0000     1.0000    62.0000     0.4134   |        |*       |
        68     1.0000          0    59.0000     1.0722   |        |  *     |
        69     1.0000     1.0000    66.0000     0.3750   |        |*       |
        70     1.0000          0    61.0000    -0.9793   |     *  |        |
        71     1.0000     1.0000    67.0000     0.3660   |        |*       |
        72     1.0000          0    63.0000     0.9726   |        |  *     |
        73     1.0000     1.0000    68.0000     0.3572   |        |*       |
        74     1.0000          0    64.0000    -1.0535   |     *  |        |
        75     1.0000     1.0000    68.0000     0.3572   |        |*       |
        76     1.0000          0    65.0000     0.9263   |        |  *     |
        77     1.0000     1.0000    69.0000    -2.8689   |*       |        |
        78     1.0000          0    66.0000    -1.1062   |     *  |        |
        79     1.0000     1.0000    69.0000     0.3486   |        |*       |
        80     1.0000          0    66.0000    -1.1062   |     *  |        |
        81     1.0000     1.0000    70.0000     0.3402   |        |*       |
        82     1.0000          0    66.0000     0.9040   |        |  *     |

Arthritis treatment data 15 Influence diagnostics

                            The LOGISTIC Procedure

                                                  Regression Diagnostics

                                                     Pearson Residual
                       Covariates
     Case                                                  (1 unit = 0.36)
    Number      _SEX_    _TREAT_        AGE      Value    -8  -4  0 2 4 6 8
        83     1.0000          0    68.0000     0.8610   |        | *      |
        84     1.0000          0    74.0000     0.7439   |        | *      |
                                  Regression Diagnostics

                    Deviance Residual               Hat Matrix Diagonal

     Case                 (1 unit = 0.26)                  (1 unit = 0.01)
    Number      Value    -8  -4  0 2 4 6 8       Value    0 2 4 6 8  12  16
         1     1.8124   |        |      * |     0.0897   |          *      |
         2    -0.3607   |       *|        |     0.0310   |    *            |
         3    -0.6851   |     *  |        |     0.0876   |          *      |
         4    -0.4251   |      * |        |     0.0341   |    *            |
         5    -0.7001   |     *  |        |     0.0865   |          *      |
         6    -0.4884   |      * |        |     0.0386   |    *            |
         7     1.7034   |        |     *  |     0.0840   |         *       |
         8    -0.4998   |      * |        |     0.0396   |    *            |
         9     1.3963   |        |    *   |     0.0668   |        *        |
        10    -0.5113   |      * |        |     0.0406   |     *           |
        11     1.1420   |        |   *    |     0.0648   |       *         |
        12    -0.5231   |      * |        |     0.0418   |     *           |
        13    -1.2342   |   *    |        |     0.0655   |       *         |
        14    -0.5990   |      * |        |     0.0515   |      *          |
        15     1.1217   |        |   *    |     0.0655   |       *         |
        16    -0.5990   |      * |        |     0.0515   |      *          |
        17    -1.3193   |   *    |        |     0.0695   |        *        |
        18    -0.6402   |      * |        |     0.0584   |       *         |
        19    -1.3193   |   *    |        |     0.0695   |        *        |
        20    -0.6402   |      * |        |     0.0584   |       *         |
        21    -1.3408   |   *    |        |     0.0708   |        *        |
        22     1.8146   |        |      * |     0.0610   |       *         |
        23     1.0223   |        |   *    |     0.0708   |        *        |
        24    -0.5294   |      * |        |     0.0606   |       *         |
        25    -1.4495   |   *    |        |     0.0785   |         *       |
        26    -0.6196   |      * |        |     0.0534   |      *          |
        27     0.9096   |        |  *     |     0.0802   |         *       |
        28    -0.6196   |      * |        |     0.0534   |      *          |
        29    -1.1209   |    *   |        |     0.1416   |                *|
        30     1.8466   |        |      * |     0.0521   |      *          |
        31    -1.3090   |   *    |        |     0.0926   |          *      |

Arthritis treatment data 16 Influence diagnostics

                            The LOGISTIC Procedure

                                  Regression Diagnostics

                    Deviance Residual               Hat Matrix Diagonal

     Case                 (1 unit = 0.26)                  (1 unit = 0.01)
    Number      Value    -8  -4  0 2 4 6 8       Value    0 2 4 6 8  12  16
        32    -0.6476   |      * |        |     0.0508   |      *          |
        33     0.9552   |        |   *    |     0.0705   |        *        |
        34     1.8033   |        |      * |     0.0495   |      *          |
        35    -1.5047   |  *     |        |     0.0565   |      *          |
        36    -0.7219   |     *  |        |     0.0440   |     *           |
        37     0.8822   |        |  *     |     0.0565   |      *          |
        38    -0.8363   |     *  |        |     0.0353   |    *            |
        39    -1.6586   |  *     |        |     0.0401   |     *           |
        40    -0.8537   |     *  |        |     0.0343   |    *            |
        41     0.7633   |        |  *     |     0.0401   |     *           |
        42    -0.8712   |     *  |        |     0.0334   |    *            |
        43     0.6564   |        | *      |     0.0325   |    *            |
        44    -0.9070   |     *  |        |     0.0320   |    *            |
        45     0.6564   |        | *      |     0.0325   |    *            |
        46    -0.9253   |    *   |        |     0.0315   |    *            |
        47     0.6422   |        | *      |     0.0320   |    *            |
        48    -0.9624   |    *   |        |     0.0308   |   *             |
        49     0.6281   |        | *      |     0.0316   |    *            |
        50    -1.0003   |    *   |        |     0.0308   |   *             |
        51     0.6281   |        | *      |     0.0316   |    *            |
        52    -1.0196   |    *   |        |     0.0311   |    *            |
        53     0.6281   |        | *      |     0.0316   |    *            |
        54    -1.0196   |    *   |        |     0.0311   |    *            |
        55    -1.8764   | *      |        |     0.0312   |    *            |
        56     1.3438   |        |    *   |     0.0311   |    *            |
        57     0.6008   |        | *      |     0.0310   |    *            |
        58     1.3223   |        |    *   |     0.0315   |    *            |
        59     0.6008   |        | *      |     0.0310   |    *            |
        60    -1.0786   |    *   |        |     0.0329   |    *            |
        61     0.5876   |        | *      |     0.0308   |   *             |
        62     1.2795   |        |    *   |     0.0329   |    *            |
        63     0.5745   |        | *      |     0.0307   |   *             |
        64     1.2583   |        |    *   |     0.0338   |    *            |
        65     0.5617   |        | *      |     0.0307   |   *             |
        66     1.2372   |        |    *   |     0.0350   |    *            |
        67     0.5617   |        | *      |     0.0307   |   *             |
        68     1.2372   |        |    *   |     0.0350   |    *            |
        69     0.5130   |        | *      |     0.0309   |   *             |
        70    -1.1597   |    *   |        |     0.0378   |    *            |
        71     0.5014   |        | *      |     0.0311   |    *            |
        72     1.1539   |        |   *    |     0.0413   |     *           |

Arthritis treatment data 17 Influence diagnostics

                            The LOGISTIC Procedure

                                  Regression Diagnostics

                    Deviance Residual               Hat Matrix Diagonal

     Case                 (1 unit = 0.26)                  (1 unit = 0.01)
    Number      Value    -8  -4  0 2 4 6 8       Value    0 2 4 6 8  12  16
        73     0.4900   |        | *      |     0.0313   |    *            |
        74    -1.2220   |   *    |        |     0.0433   |     *           |
        75     0.4900   |        | *      |     0.0313   |    *            |
        76     1.1131   |        |   *    |     0.0454   |     *           |
        77    -2.1083   |*       |        |     0.0314   |    *            |
        78    -1.2642   |   *    |        |     0.0477   |     *           |
        79     0.4789   |        | *      |     0.0314   |    *            |
        80    -1.2642   |   *    |        |     0.0477   |     *           |
        81     0.4680   |        | *      |     0.0316   |    *            |
        82     1.0930   |        |   *    |     0.0477   |     *           |
        83     1.0532   |        |   *    |     0.0526   |      *          |
        84     0.9385   |        |   *    |     0.0696   |        *        |
                                  Regression Diagnostics

                     INTERCPT Dfbeta                  _SEX_    Dfbeta

     Case                 (1 unit = 0.07)                  (1 unit = 0.05)
    Number      Value    -8  -4  0 2 4 6 8       Value    -8  -4  0 2 4 6 8
         1     0.5585   |        |       *|    -0.3369   |  *     |        |
         2    -0.0410   |       *|        |     0.0344   |        |*       |
         3    -0.1361   |      * |        |     0.0865   |        | *      |
         4    -0.0450   |       *|        |     0.0464   |        |*       |
         5    -0.1369   |      * |        |     0.0894   |        | *      |
         6    -0.0460   |       *|        |     0.0595   |        |*       |
         7     0.4505   |        |     *  |    -0.3113   |  *     |        |
         8    -0.0458   |       *|        |     0.0620   |        |*       |
         9     0.1889   |        |  *     |    -0.2337   |    *   |        |
        10    -0.0456   |       *|        |     0.0646   |        |*       |
        11     0.0326   |        *        |    -0.1697   |     *  |        |
        12    -0.0452   |       *|        |     0.0673   |        |*       |
        13    -0.0259   |        *        |     0.1881   |        |   *    |
        14    -0.0396   |       *|        |     0.0856   |        | *      |
        15     0.0227   |        *        |    -0.1647   |     *  |        |
        16    -0.0396   |       *|        |     0.0856   |        | *      |
        17     0.0174   |        *        |     0.2020   |        |   *    |
        18    -0.0342   |        *        |     0.0964   |        | *      |
        19     0.0174   |        *        |     0.2020   |        |   *    |
        20    -0.0342   |        *        |     0.0964   |        | *      |
        21     0.0294   |        *        |     0.2054   |        |   *    |

Arthritis treatment data 18 Influence diagnostics

                            The LOGISTIC Procedure

                                  Regression Diagnostics

                     INTERCPT Dfbeta                  _SEX_    Dfbeta

     Case                 (1 unit = 0.07)                  (1 unit = 0.05)
    Number      Value    -8  -4  0 2 4 6 8       Value    -8  -4  0 2 4 6 8
        22     0.1337   |        | *      |    -0.4197   |*       |        |
        23    -0.0202   |        *        |    -0.1410   |     *  |        |
        24    -0.0862   |       *|        |   -0.00603   |        *        |
        25     0.0970   |        |*       |     0.2215   |        |   *    |
        26    -0.0907   |       *|        |    -0.0100   |        *        |
        27    -0.0574   |       *|        |    -0.1150   |      * |        |
        28    -0.0907   |       *|        |    -0.0100   |        *        |
        29    -0.2370   |     *  |        |    -0.1131   |      * |        |
        30     0.4085   |        |     *  |     0.0483   |        |*       |
        31    -0.1722   |      * |        |    -0.1410   |     *  |        |
        32    -0.0906   |       *|        |    -0.0115   |        *        |
        33     0.0710   |        |*       |     0.0908   |        | *      |
        34     0.3690   |        |    *   |     0.0500   |        |*       |
        35    -0.0768   |       *|        |    -0.1699   |     *  |        |
        36    -0.0872   |       *|        |    -0.0157   |        *        |
        37     0.0366   |        |*       |     0.0808   |        | *      |
        38    -0.0720   |       *|        |    -0.0234   |        *        |
        39     0.0163   |        *        |    -0.1928   |    *   |        |
        40    -0.0687   |       *|        |    -0.0247   |        *        |
        41   -0.00552   |        *        |     0.0652   |        |*       |
        42    -0.0650   |       *|        |    -0.0260   |        *        |
        43    -0.0298   |        *        |     0.0518   |        |*       |
        44    -0.0566   |       *|        |    -0.0289   |       *|        |
        45    -0.0298   |        *        |     0.0518   |        |*       |
        46    -0.0518   |       *|        |    -0.0304   |       *|        |
        47    -0.0322   |        *        |     0.0501   |        |*       |
        48    -0.0411   |       *|        |    -0.0335   |       *|        |
        49    -0.0343   |        *        |     0.0484   |        |*       |
        50    -0.0288   |        *        |    -0.0369   |       *|        |
        51    -0.0343   |        *        |     0.0484   |        |*       |
        52    -0.0220   |        *        |    -0.0386   |       *|        |
        53    -0.0343   |        *        |     0.0484   |        |*       |
        54    -0.0220   |        *        |    -0.0386   |       *|        |
        55     0.1742   |        | *      |    -0.2252   |    *   |        |
        56     0.0323   |        *        |     0.0567   |        |*       |
        57    -0.0378   |       *|        |     0.0452   |        |*       |
        58     0.0207   |        *        |     0.0565   |        |*       |
        59    -0.0378   |       *|        |     0.0452   |        |*       |
        60   0.000987   |        *        |    -0.0443   |       *|        |
        61    -0.0393   |       *|        |     0.0436   |        |*       |
        62   -0.00125   |        *        |     0.0561   |        |*       |

Arthritis treatment data 19 Influence diagnostics

                            The LOGISTIC Procedure

                                  Regression Diagnostics

                     INTERCPT Dfbeta                  _SEX_    Dfbeta

     Case                 (1 unit = 0.07)                  (1 unit = 0.05)
    Number      Value    -8  -4  0 2 4 6 8       Value    -8  -4  0 2 4 6 8
        63    -0.0406   |       *|        |     0.0421   |        |*       |
        64    -0.0116   |        *        |     0.0558   |        |*       |
        65    -0.0417   |       *|        |     0.0406   |        |*       |
        66    -0.0215   |        *        |     0.0555   |        |*       |
        67    -0.0417   |       *|        |     0.0406   |        |*       |
        68    -0.0215   |        *        |     0.0555   |        |*       |
        69    -0.0445   |       *|        |     0.0351   |        |*       |
        70     0.0383   |        |*       |    -0.0526   |       *|        |
        71    -0.0449   |       *|        |     0.0339   |        |*       |
        72    -0.0567   |       *|        |     0.0540   |        |*       |
        73    -0.0452   |       *|        |     0.0326   |        |*       |
        74     0.0716   |        |*       |    -0.0595   |       *|        |
        75    -0.0452   |       *|        |     0.0326   |        |*       |
        76    -0.0718   |       *|        |     0.0531   |        |*       |
        77     0.3728   |        |    *   |    -0.2586   |   *    |        |
        78     0.0963   |        |*       |    -0.0643   |       *|        |
        79    -0.0453   |       *|        |     0.0314   |        |*       |
        80     0.0963   |        |*       |    -0.0643   |       *|        |
        81    -0.0453   |       *|        |     0.0303   |        |*       |
        82    -0.0787   |       *|        |     0.0526   |        |*       |
        83    -0.0913   |       *|        |     0.0514   |        |*       |
        84    -0.1198   |      * |        |     0.0475   |        |*       |
                                  Regression Diagnostics

                     _TREAT_  Dfbeta                  AGE      Dfbeta

     Case                 (1 unit = 0.04)                  (1 unit = 0.06)
    Number      Value    -8  -4  0 2 4 6 8       Value    -8  -4  0 2 4 6 8
         1     0.1096   |        |  *     |    -0.5016   |*       |        |
         2     0.0260   |        |*       |     0.0255   |        *        |
         3    -0.0289   |       *|        |     0.1203   |        | *      |
         4     0.0350   |        |*       |     0.0221   |        *        |
         5    -0.0303   |       *|        |     0.1200   |        | *      |
         6     0.0449   |        |*       |     0.0145   |        *        |
         7     0.1086   |        |  *     |    -0.3869   |  *     |        |
         8     0.0468   |        |*       |     0.0126   |        *        |
         9     0.0985   |        | *      |    -0.1158   |      * |        |
        10     0.0487   |        |*       |     0.0105   |        *        |
        11     0.0834   |        | *      |     0.0381   |        |*       |

Arthritis treatment data 20 Influence diagnostics

                            The LOGISTIC Procedure

                                  Regression Diagnostics

                     _TREAT_  Dfbeta                  AGE      Dfbeta

     Case                 (1 unit = 0.04)                  (1 unit = 0.06)
    Number      Value    -8  -4  0 2 4 6 8       Value    -8  -4  0 2 4 6 8
        12     0.0507   |        |*       |    0.00822   |        *        |
        13    -0.0935   |      * |        |    -0.0542   |       *|        |
        14     0.0645   |        | *      |    -0.0108   |        *        |
        15     0.0819   |        | *      |     0.0475   |        |*       |
        16     0.0645   |        | *      |    -0.0108   |        *        |
        17    -0.1056   |     *  |        |    -0.1110   |      * |        |
        18     0.0725   |        | *      |    -0.0245   |        *        |
        19    -0.1056   |     *  |        |    -0.1110   |      * |        |
        20     0.0725   |        | *      |    -0.0245   |        *        |
        21    -0.1087   |     *  |        |    -0.1266   |      * |        |
        22    -0.3159   |*       |        |     0.1247   |        | *      |
        23     0.0746   |        | *      |     0.0869   |        |*       |
        24     0.0327   |        |*       |     0.0885   |        |*       |
        25    -0.1246   |     *  |        |    -0.2129   |     *  |        |
        26     0.0417   |        |*       |     0.0906   |        |*       |
        27     0.0655   |        | *      |     0.1187   |        | *      |
        28     0.0417   |        |*       |     0.0906   |        |*       |
        29    -0.1638   |    *   |        |     0.3278   |        |    *   |
        30    -0.1943   |   *    |        |    -0.4063   |  *     |        |
        31    -0.1983   |   *    |        |     0.2647   |        |   *    |
        32     0.0446   |        |*       |     0.0897   |        |*       |
        33     0.1257   |        |  *     |    -0.1238   |      * |        |
        34    -0.1880   |   *    |        |    -0.3628   |  *     |        |
        35    -0.2327   |  *     |        |     0.1662   |        |  *     |
        36     0.0522   |        |*       |     0.0832   |        |*       |
        37     0.1107   |        |  *     |    -0.0790   |       *|        |
        38     0.0638   |        | *      |     0.0618   |        |*       |
        39    -0.2591   |  *     |        |     0.0675   |        |*       |
        40     0.0656   |        | *      |     0.0574   |        |*       |
        41     0.0876   |        | *      |    -0.0228   |        *        |
        42     0.0674   |        | *      |     0.0525   |        |*       |
        43     0.0685   |        | *      |     0.0116   |        *        |
        44     0.0709   |        | *      |     0.0416   |        |*       |
        45     0.0685   |        | *      |     0.0116   |        *        |
        46     0.0728   |        | *      |     0.0355   |        |*       |
        47     0.0660   |        | *      |     0.0151   |        *        |
        48     0.0764   |        | *      |     0.0220   |        *        |
        49     0.0636   |        | *      |     0.0183   |        *        |
        50     0.0802   |        | *      |    0.00654   |        *        |
        51     0.0636   |        | *      |     0.0183   |        *        |
        52     0.0820   |        | *      |   -0.00191   |        *        |

Arthritis treatment data 21 Influence diagnostics

                            The LOGISTIC Procedure

                                  Regression Diagnostics

                     _TREAT_  Dfbeta                  AGE      Dfbeta

     Case                 (1 unit = 0.04)                  (1 unit = 0.06)
    Number      Value    -8  -4  0 2 4 6 8       Value    -8  -4  0 2 4 6 8
        53     0.0636   |        | *      |     0.0183   |        *        |
        54     0.0820   |        | *      |   -0.00191   |        *        |
        55    -0.2953   | *      |        |    -0.1025   |      * |        |
        56    -0.1203   |     *  |        |    0.00281   |        *        |
        57     0.0591   |        |*       |     0.0240   |        *        |
        58    -0.1172   |     *  |        |     0.0152   |        *        |
        59     0.0591   |        |*       |     0.0240   |        *        |
        60     0.0877   |        | *      |    -0.0304   |        *        |
        61     0.0569   |        |*       |     0.0264   |        *        |
        62    -0.1111   |     *  |        |     0.0385   |        |*       |
        63     0.0548   |        |*       |     0.0286   |        *        |
        64    -0.1081   |     *  |        |     0.0494   |        |*       |
        65     0.0528   |        |*       |     0.0305   |        *        |
        66    -0.1052   |     *  |        |     0.0598   |        |*       |
        67     0.0528   |        |*       |     0.0305   |        *        |
        68    -0.1052   |     *  |        |     0.0598   |        |*       |
        69     0.0452   |        |*       |     0.0363   |        |*       |
        70     0.0953   |        | *      |    -0.0759   |       *|        |
        71     0.0435   |        |*       |     0.0373   |        |*       |
        72    -0.0937   |      * |        |     0.0966   |        | *      |
        73     0.0418   |        |*       |     0.0381   |        |*       |
        74     0.1009   |        | *      |    -0.1161   |      * |        |
        75     0.0418   |        |*       |     0.0381   |        |*       |
        76    -0.0882   |      * |        |     0.1122   |        | *      |
        77    -0.3308   |*       |        |    -0.3196   |   *    |        |
        78     0.1046   |        |  *     |    -0.1459   |      * |        |
        79     0.0402   |        |*       |     0.0388   |        |*       |
        80     0.1046   |        |  *     |    -0.1459   |      * |        |
        81     0.0386   |        |*       |     0.0394   |        |*       |
        82    -0.0855   |      * |        |     0.1193   |        | *      |
        83    -0.0802   |      * |        |     0.1320   |        | *      |
        84    -0.0654   |      * |        |     0.1600   |        |  *     |
                                  Regression Diagnostics

                            C                              CBAR

     Case                 (1 unit = 0.03)                  (1 unit = 0.03)
    Number      Value    0 2 4 6 8  12  16       Value    0 2 4 6 8  12  16
         1     0.4510   |                *|     0.4106   |                *|

Arthritis treatment data 22 Influence diagnostics

                            The LOGISTIC Procedure

                                  Regression Diagnostics

                            C                              CBAR

     Case                 (1 unit = 0.03)                  (1 unit = 0.03)
    Number      Value    0 2 4 6 8  12  16       Value    0 2 4 6 8  12  16
         2    0.00222   |*                |    0.00215   |*                |
         3     0.0278   | *               |     0.0254   | *               |
         4    0.00346   |*                |    0.00334   |*                |
         5     0.0288   | *               |     0.0263   | *               |
         6    0.00529   |*                |    0.00508   |*                |
         7     0.3272   |            *    |     0.2997   |            *    |
         8    0.00570   |*                |    0.00548   |*                |
         9     0.1266   |    *            |     0.1181   |     *           |
        10    0.00617   |*                |    0.00592   |*                |
        11     0.0681   |  *              |     0.0637   |  *              |
        12    0.00668   |*                |    0.00640   |*                |
        13     0.0856   |   *             |     0.0800   |   *             |
        14     0.0112   |*                |     0.0107   |*                |
        15     0.0657   |  *              |     0.0614   |  *              |
        16     0.0112   |*                |     0.0107   |*                |
        17     0.1115   |    *            |     0.1037   |    *            |
        18     0.0150   | *               |     0.0141   | *               |
        19     0.1115   |    *            |     0.1037   |    *            |
        20     0.0150   | *               |     0.0141   | *               |
        21     0.1195   |    *            |     0.1111   |    *            |
        22     0.2899   |          *      |     0.2722   |           *     |
        23     0.0563   |  *              |     0.0523   |  *              |
        24     0.0103   |*                |    0.00971   |*                |
        25     0.1718   |      *          |     0.1584   |      *          |
        26     0.0126   |*                |     0.0119   |*                |
        27     0.0486   |  *              |     0.0447   |  *              |
        28     0.0126   |*                |     0.0119   |*                |
        29     0.1680   |      *          |     0.1442   |      *          |
        30     0.2611   |         *       |     0.2475   |          *      |
        31     0.1525   |     *           |     0.1384   |     *           |
        32     0.0132   |*                |     0.0125   |*                |
        33     0.0471   |  *              |     0.0438   |  *              |
        34     0.2237   |        *        |     0.2126   |        *        |
        35     0.1333   |     *           |     0.1258   |     *           |
        36     0.0143   | *               |     0.0137   | *               |
        37     0.0302   | *               |     0.0285   | *               |
        38     0.0159   | *               |     0.0153   | *               |
        39     0.1288   |     *           |     0.1236   |     *           |
        40     0.0162   | *               |     0.0156   | *               |
        41     0.0147   | *               |     0.0141   | *               |
        42     0.0165   | *               |     0.0160   | *               |

Arthritis treatment data 23 Influence diagnostics

                            The LOGISTIC Procedure

                                  Regression Diagnostics

                            C                              CBAR

     Case                 (1 unit = 0.03)                  (1 unit = 0.03)
    Number      Value    0 2 4 6 8  12  16       Value    0 2 4 6 8  12  16
        43    0.00836   |*                |    0.00809   |*                |
        44     0.0174   | *               |     0.0168   | *               |
        45    0.00836   |*                |    0.00809   |*                |
        46     0.0179   | *               |     0.0174   | *               |
        47    0.00782   |*                |    0.00757   |*                |
        48     0.0193   | *               |     0.0187   | *               |
        49    0.00734   |*                |    0.00711   |*                |
        50     0.0213   | *               |     0.0206   | *               |
        51    0.00734   |*                |    0.00711   |*                |
        52     0.0226   | *               |     0.0219   | *               |
        53    0.00734   |*                |    0.00711   |*                |
        54     0.0226   | *               |     0.0219   | *               |
        55     0.1602   |      *          |     0.1552   |      *          |
        56     0.0485   |  *              |     0.0470   |  *              |
        57    0.00653   |*                |    0.00632   |*                |
        58     0.0469   |  *              |     0.0454   |  *              |
        59    0.00653   |*                |    0.00632   |*                |
        60     0.0277   | *               |     0.0268   | *               |
        61    0.00618   |*                |    0.00599   |*                |
        62     0.0445   |  *              |     0.0431   |  *              |
        63    0.00586   |*                |    0.00568   |*                |
        64     0.0437   |  *              |     0.0422   |  *              |
        65    0.00558   |*                |    0.00541   |*                |
        66     0.0432   |  *              |     0.0416   |  *              |
        67    0.00558   |*                |    0.00541   |*                |
        68     0.0432   |  *              |     0.0416   |  *              |
        69    0.00463   |*                |    0.00449   |*                |
        70     0.0391   | *               |     0.0376   | *               |
        71    0.00444   |*                |    0.00430   |*                |
        72     0.0425   |  *              |     0.0407   |  *              |
        73    0.00425   |*                |    0.00412   |*                |
        74     0.0524   |  *              |     0.0502   |  *              |
        75    0.00425   |*                |    0.00412   |*                |
        76     0.0427   |  *              |     0.0408   |  *              |
        77     0.2759   |          *      |     0.2672   |          *      |
        78     0.0643   |  *              |     0.0613   |  *              |
        79    0.00407   |*                |    0.00394   |*                |
        80     0.0643   |  *              |     0.0613   |  *              |
        81    0.00390   |*                |    0.00378   |*                |
        82     0.0430   |  *              |     0.0409   |  *              |
        83     0.0435   |  *              |     0.0412   |  *              |

Arthritis treatment data 24 Influence diagnostics

                            The LOGISTIC Procedure

                                  Regression Diagnostics

                            C                              CBAR

     Case                 (1 unit = 0.03)                  (1 unit = 0.03)
    Number      Value    0 2 4 6 8  12  16       Value    0 2 4 6 8  12  16
        84     0.0445   |  *              |     0.0414   |  *              |
                                  Regression Diagnostics

                         DIFDEV                          DIFCHISQ

     Case                 (1 unit = 0.29)                  (1 unit = 0.53)
    Number      Value    0 2 4 6 8  12  16       Value    0 2 4 6 8  12  16
         1     3.6954   |             *   |     4.5782   |         *       |
         2     0.1323   |*                |     0.0694   |*                |
         3     0.4948   |  *              |     0.2899   | *               |
         4     0.1841   | *               |     0.0979   |*                |
         5     0.5165   |  *              |     0.3040   | *               |
         6     0.2437   | *               |     0.1318   |*                |
         7     3.2011   |           *     |     3.5658   |       *         |
         8     0.2553   | *               |     0.1385   |*                |
         9     2.0677   |       *         |     1.7687   |   *             |
        10     0.2674   | *               |     0.1456   |*                |
        11     1.3680   |     *           |     0.9833   |  *              |
        12     0.2801   | *               |     0.1530   |*                |
        13     1.6033   |     *           |     1.2218   |  *              |
        14     0.3694   | *               |     0.2071   |*                |
        15     1.3195   |    *            |     0.9372   |  *              |
        16     0.3694   | *               |     0.2071   |*                |
        17     1.8442   |      *          |     1.4913   |   *             |
        18     0.4239   | *               |     0.2415   |*                |
        19     1.8442   |      *          |     1.4913   |   *             |
        20     0.4239   | *               |     0.2415   |*                |
        21     1.9088   |      *          |     1.5679   |   *             |
        22     3.5649   |            *    |     4.4603   |        *        |
        23     1.0975   |    *            |     0.7387   | *               |
        24     0.2900   | *               |     0.1601   |*                |
        25     2.2593   |        *        |     2.0173   |    *            |
        26     0.3958   | *               |     0.2235   |*                |
        27     0.8720   |   *             |     0.5570   | *               |
        28     0.3958   | *               |     0.2235   |*                |
        29     1.4005   |     *           |     1.0183   |  *              |
        30     3.6574   |            *    |     4.7486   |         *       |
        31     1.8519   |      *          |     1.4939   |   *             |
        32     0.4318   | *               |     0.2458   |*                |

Arthritis treatment data 25 Influence diagnostics

                            The LOGISTIC Procedure

                                  Regression Diagnostics

                         DIFDEV                          DIFCHISQ

     Case                 (1 unit = 0.29)                  (1 unit = 0.53)
    Number      Value    0 2 4 6 8  12  16       Value    0 2 4 6 8  12  16
        33     0.9563   |   *             |     0.6219   | *               |
        34     3.4644   |            *    |     4.2956   |        *        |
        35     2.3900   |        *        |     2.2279   |    *            |
        36     0.5348   |  *              |     0.3114   | *               |
        37     0.8067   |   *             |     0.5042   | *               |
        38     0.7148   |  *              |     0.4340   | *               |
        39     2.8746   |          *      |     3.0806   |      *          |
        40     0.7444   |   *             |     0.4552   | *               |
        41     0.5968   |  *              |     0.3523   | *               |
        42     0.7750   |   *             |     0.4775   | *               |
        43     0.4390   | *               |     0.2485   |*                |
        44     0.8395   |   *             |     0.5257   | *               |
        45     0.4390   | *               |     0.2485   |*                |
        46     0.8734   |   *             |     0.5516   | *               |
        47     0.4199   | *               |     0.2365   |*                |
        48     0.9449   |   *             |     0.6077   | *               |
        49     0.4017   | *               |     0.2252   |*                |
        50     1.0213   |   *             |     0.6699   | *               |
        51     0.4017   | *               |     0.2252   |*                |
        52     1.0615   |    *            |     0.7036   | *               |
        53     0.4017   | *               |     0.2252   |*                |
        54     1.0615   |    *            |     0.7036   | *               |
        55     3.6759   |            *    |     4.9698   |         *       |
        56     1.8530   |      *          |     1.5139   |   *             |
        57     0.3673   | *               |     0.2041   |*                |
        58     1.7939   |      *          |     1.4425   |   *             |
        59     0.3673   | *               |     0.2041   |*                |
        60     1.1902   |    *            |     0.8159   |  *              |
        61     0.3512   | *               |     0.1944   |*                |
        62     1.6803   |      *          |     1.3104   |  *              |
        63     0.3358   | *               |     0.1851   |*                |
        64     1.6255   |      *          |     1.2493   |  *              |
        65     0.3210   | *               |     0.1763   |*                |
        66     1.5722   |     *           |     1.1912   |  *              |
        67     0.3210   | *               |     0.1763   |*                |
        68     1.5722   |     *           |     1.1912   |  *              |
        69     0.2677   | *               |     0.1451   |*                |
        70     1.3824   |     *           |     0.9966   |  *              |
        71     0.2557   | *               |     0.1382   |*                |
        72     1.3722   |     *           |     0.9867   |  *              |
        73     0.2442   | *               |     0.1317   |*                |

Arthritis treatment data 26 Influence diagnostics

                            The LOGISTIC Procedure

                                  Regression Diagnostics

                         DIFDEV                          DIFCHISQ

     Case                 (1 unit = 0.29)                  (1 unit = 0.53)
    Number      Value    0 2 4 6 8  12  16       Value    0 2 4 6 8  12  16
        74     1.5435   |     *           |     1.1601   |  *              |
        75     0.2442   | *               |     0.1317   |*                |
        76     1.2799   |    *            |     0.8989   |  *              |
        77     4.7122   |                *|     8.4978   |                *|
        78     1.6595   |      *          |     1.2849   |  *              |
        79     0.2333   | *               |     0.1254   |*                |
        80     1.6595   |      *          |     1.2849   |  *              |
        81     0.2228   | *               |     0.1195   |*                |
        82     1.2356   |    *            |     0.8582   |  *              |
        83     1.1505   |    *            |     0.7825   | *               |
        84     0.9222   |   *             |     0.5947   | *               |

Proportional Odds Model for IMPROVE: None/Some/Marked 27

                            The LOGISTIC Procedure
    Data Set: WORK.RESULTS
    Response Variable: IMPROVE
    Response Levels: 3
    Number of Observations: 84
    Link Function: Logit

                               Response Profile

                          Ordered
                            Value  IMPROVE     Count
                                1        0        42
                                2        1        14
                                3        2        28


               Score Test for the Proportional Odds Assumption
                   Chi-Square = 2.4917 with 3 DF (p=0.4768)

     Model Fitting Information and Testing Global Null Hypothesis BETA=0

                              Intercept
                Intercept        and
  Criterion       Only       Covariates    Chi-Square for Covariates
  AIC             173.916       155.458         .
  SC              178.778       167.612         .
  -2 LOG L        169.916       145.458       24.458 with 3 DF (p=0.0001)
  Score              .             .          22.347 with 3 DF (p=0.0001)

                   Analysis of Maximum Likelihood Estimates

              Parameter Standard    Wald       Pr >    Standardized     Odds
  Variable DF  Estimate   Error  Chi-Square Chi-Square   Estimate      Ratio
  INTERCP1 1     3.7837   1.1530    10.7683     0.0010            .     .
  INTERCP2 1     4.6827   1.1949    15.3569     0.0001            .     .
  _SEX_    1    -1.2517   0.5321     5.5343     0.0186    -0.317412    0.286
  _TREAT_  1    -1.7453   0.4772    13.3770     0.0003    -0.483871    0.175
  AGE      1    -0.0382   0.0185     4.2358     0.0396    -0.268666    0.963

Proportional Odds Model for IMPROVE: None/Some/Marked 28

                            The LOGISTIC Procedure

        Association of Predicted Probabilities and Observed Responses
                  Concordant = 74.7%          Somers' D = 0.500
                  Discordant = 24.7%          Gamma     = 0.503
                  Tied       =  0.6%          Tau-a     = 0.309
                  (2156 pairs)                c         = 0.750