Output from logist1b.sas

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Arthritis treatment data 1 Bubble size: Influence on Coefficients (C)

                            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       0        42
                                2       1        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    0.226
  _TREAT_  1    -1.7598   0.5365    10.7596     0.0010    -0.487891    0.172
  AGE      1    -0.0487   0.0207     5.5655     0.0183    -0.343176    0.952

        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 2 Bubble size: Influence on Coefficients (C)

                            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 3 Bubble size: Influence on Coefficients (C)

                            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 4 Bubble size: Influence on Coefficients (C)

                            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 5 Bubble size: Influence on Coefficients (C)

                            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 6 Bubble size: Influence on Coefficients (C)

                            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 7 Bubble size: Influence on Coefficients (C)

                            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   -0.00099   |        *        |     0.0443   |        |*       |
        61     0.0393   |        |*       |    -0.0436   |       *|        |
        62    0.00125   |        *        |    -0.0561   |       *|        |

Arthritis treatment data 8 Bubble size: Influence on Coefficients (C)

                            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 9 Bubble size: Influence on Coefficients (C)

                            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 10 Bubble size: Influence on Coefficients (C)

                            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 11 Bubble size: Influence on Coefficients (C)

                            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 12 Bubble size: Influence on Coefficients (C)

                            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 13 Bubble size: Influence on Coefficients (C)

                            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 14 Bubble size: Influence on Coefficients (C)

                            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 15 Bubble size: Influence on Coefficients (C)

                            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   | *               |

Arthritis treatment data 16 Bubble size: Influence on Coefficients (C)

  CASE   BETTER   _SEX_   _TREAT_   AGE   HAT   DIFCHISQ    DIFDEV      C
    1       1       0        1       27   .09    4.57815   3.69539   0.45104
   22       1       0        0       63   .06    4.46032   3.56492   0.28985
   29       0       1        1       23   .14    1.01834   1.40051   0.16796
   30       1       1        0       31   .05    4.74857   3.65738   0.26110
   34       1       1        0       33   .05    4.29559   3.46441   0.22369
   55       0       1        1       58   .03    4.96977   3.67595   0.16022
   77       0       1        1       69   .03    8.49776   4.71224   0.27587

17

Graphic output from logist1b.sas

Logistic influence plot for better
[INFLOGI1 09/27/99 ]
Logistic influence plot for better
[INFLOGIS 09/27/99 ]