Output from glogist2.sas

Source
3 Graphs

Logistic Regression: Proportional Odds Model 1

                            The LOGISTIC Procedure
    Data Set: WORK.ARTHRIT
    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 = 1.8833 with 2 DF (p=0.3900)

     Model Fitting Information and Testing Global Null Hypothesis BETA=0

                              Intercept
                Intercept        and
  Criterion       Only       Covariates    Chi-Square for Covariates
  AIC             173.916       158.029         .
  SC              178.778       167.753         .
  -2 LOG L        169.916       150.029       19.887 with 2 DF (p=0.0001)
  Score              .             .          17.868 with 2 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     1.8128   0.5566    10.6072     0.0011            .     .
  INTERCP2 1     2.6672   0.5997    19.7809     0.0001            .     .
  _SEX_    1    -1.3187   0.5292     6.2102     0.0127    -0.334418    0.267
  _TREAT_  1    -1.7973   0.4728    14.4493     0.0001    -0.498287    0.166

Logistic Regression: Proportional Odds Model 2

                            The LOGISTIC Procedure

        Association of Predicted Probabilities and Observed Responses
                  Concordant = 58.8%          Somers' D = 0.438
                  Discordant = 15.0%          Gamma     = 0.593
                  Tied       = 26.2%          Tau-a     = 0.271
                  (2156 pairs)                c         = 0.719

Logistic Regression: Proportional Odds Model 3

  ID   TREAT    SEX    IMPROVE  _LEVEL_  PREDICT   LOWER    UPPER     LOGIT
  57  Treated  Male       1        0     0.49613  0.60662  0.38600  -0.01550
  57  Treated  Male       1        1     0.29528  0.39834  0.20959  -0.86989
   9  Placebo  Male       0        0     0.14030  0.21915  0.08667  -1.81280
   9  Placebo  Male       0        1     0.06494  0.11076  0.03728  -2.66719
  46  Treated  Male       0        0     0.49613  0.60662  0.38600  -0.01550
  46  Treated  Male       0        1     0.29528  0.39834  0.20959  -0.86989
  14  Placebo  Male       0        0     0.14030  0.21915  0.08667  -1.81280
  14  Placebo  Male       0        1     0.06494  0.11076  0.03728  -2.66719
  77  Treated  Male       0        0     0.49613  0.60662  0.38600  -0.01550
  77  Treated  Male       0        1     0.29528  0.39834  0.20959  -0.86989
  73  Placebo  Male       0        0     0.14030  0.21915  0.08667  -1.81280
  73  Placebo  Male       0        1     0.06494  0.11076  0.03728  -2.66719
  17  Treated  Male       2        0     0.49613  0.60662  0.38600  -0.01550
  17  Treated  Male       2        1     0.29528  0.39834  0.20959  -0.86989
  74  Placebo  Male       0        0     0.14030  0.21915  0.08667  -1.81280
  74  Placebo  Male       0        1     0.06494  0.11076  0.03728  -2.66719
  36  Treated  Male       2        0     0.49613  0.60662  0.38600  -0.01550
  36  Treated  Male       2        1     0.29528  0.39834  0.20959  -0.86989
  25  Placebo  Male       0        0     0.14030  0.21915  0.08667  -1.81280
  25  Placebo  Male       0        1     0.06494  0.11076  0.03728  -2.66719
  23  Treated  Male       2        0     0.49613  0.60662  0.38600  -0.01550
  23  Treated  Male       2        1     0.29528  0.39834  0.20959  -0.86989
  18  Placebo  Male       0        0     0.14030  0.21915  0.08667  -1.81280
  18  Placebo  Male       0        1     0.06494  0.11076  0.03728  -2.66719
  75  Treated  Male       0        0     0.49613  0.60662  0.38600  -0.01550
  75  Treated  Male       0        1     0.29528  0.39834  0.20959  -0.86989
  21  Placebo  Male       0        0     0.14030  0.21915  0.08667  -1.81280
  21  Placebo  Male       0        1     0.06494  0.11076  0.03728  -2.66719
  39  Treated  Male       2        0     0.49613  0.60662  0.38600  -0.01550
  39  Treated  Male       2        1     0.29528  0.39834  0.20959  -0.86989
  52  Placebo  Male       0        0     0.14030  0.21915  0.08667  -1.81280
  52  Placebo  Male       0        1     0.06494  0.11076  0.03728  -2.66719
  33  Treated  Male       0        0     0.49613  0.60662  0.38600  -0.01550
  33  Treated  Male       0        1     0.29528  0.39834  0.20959  -0.86989
  45  Placebo  Male       0        0     0.14030  0.21915  0.08667  -1.81280
  45  Placebo  Male       0        1     0.06494  0.11076  0.03728  -2.66719
  55  Treated  Male       0        0     0.49613  0.60662  0.38600  -0.01550
  55  Treated  Male       0        1     0.29528  0.39834  0.20959  -0.86989
  41  Placebo  Male       0        0     0.14030  0.21915  0.08667  -1.81280
  41  Placebo  Male       0        1     0.06494  0.11076  0.03728  -2.66719
  30  Treated  Male       0        0     0.49613  0.60662  0.38600  -0.01550
  30  Treated  Male       0        1     0.29528  0.39834  0.20959  -0.86989
   8  Placebo  Male       2        0     0.14030  0.21915  0.08667  -1.81280
   8  Placebo  Male       2        1     0.06494  0.11076  0.03728  -2.66719
   5  Treated  Male       1        0     0.49613  0.60662  0.38600  -0.01550
   5  Treated  Male       1        1     0.29528  0.39834  0.20959  -0.86989
  80  Placebo  Female     0        0     0.37894  0.45971  0.30437  -0.49405
  80  Placebo  Female     0        1     0.20612  0.27154  0.15315  -1.34844
  63  Treated  Male       0        0     0.49613  0.60662  0.38600  -0.01550
  63  Treated  Male       0        1     0.29528  0.39834  0.20959  -0.86989

Logistic Regression: Proportional Odds Model 4

                   _    P
      T            L    R                                     _  _
      R            E    E       L       U        L       T    T  F
      E            V    D       O       P        O       R    Y  R
      A       S    E    I       W       P        G       E    P  E    O
      T       E    L    C       E       E        I       A    E  Q    B
      L       X    _    T       R       R        T       T    _  _    S
   Placebo0 Female 0 0.37894 0.45971 0.30437 -0.49405 Placebo 7 32 0.40625
   Placebo0 Male   0 0.14030 0.21915 0.08667 -1.81280 Placebo 7 11 0.09091
   Placebo1 Female 1 0.20612 0.27154 0.15315 -1.34844 Placebo 7 32 0.18750
   Placebo1 Male   1 0.06494 0.11076 0.03728 -2.66719 Placebo 7 11 0.09091
   Treated0 Female 0 0.78638 0.84356 0.71535  1.30325 Treated 7 27 0.77778
   Treated0 Male   0 0.49613 0.60662 0.38600 -0.01550 Treated 7 14 0.50000
   Treated1 Female 1 0.61037 0.69099 0.52322  0.44886 Treated 7 27 0.59259
   Treated1 Male   1 0.29528 0.39834 0.20959 -0.86989 Treated 7 14 0.35714

Logistic Regression: Proportional Odds Model 5

                            The LOGISTIC Procedure
    Data Set: WORK.ARTHRIT
    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

Logistic Regression: Proportional Odds Model 6

                            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

Logistic Regression: Proportional Odds Model 7

  ID   TREAT    SEX    IMPROVE  _LEVEL_  PREDICT    LOWER    UPPER    LOGIT
  57  Treated  Male       1        0       0.267    0.417    0.157   -1.008
  57  Treated  Male       1        1       0.129    0.229    0.069   -1.907
   9  Placebo  Male       0        0       0.085    0.149    0.048   -2.372
   9  Placebo  Male       0        1       0.037    0.069    0.019   -3.271
  46  Treated  Male       0        0       0.283    0.429    0.171   -0.932
  46  Treated  Male       0        1       0.138    0.238    0.076   -1.831
  14  Placebo  Male       0        0       0.109    0.178    0.064   -2.105
  14  Placebo  Male       0        1       0.047    0.084    0.026   -3.004
  77  Treated  Male       0        0       0.290    0.435    0.179   -0.893
  77  Treated  Male       0        1       0.143    0.243    0.080   -1.792
  73  Placebo  Male       0        0       0.133    0.209    0.081   -1.876
  73  Placebo  Male       0        1       0.059    0.101    0.033   -2.775
  17  Treated  Male       2        0       0.306    0.448    0.194   -0.817
  17  Treated  Male       2        1       0.152    0.252    0.087   -1.716
  74  Placebo  Male       0        0       0.137    0.215    0.085   -1.837
  74  Placebo  Male       0        1       0.061    0.105    0.035   -2.736
  36  Treated  Male       2        0       0.430    0.549    0.318   -0.283
  36  Treated  Male       2        1       0.235    0.335    0.157   -1.182
  25  Placebo  Male       0        0       0.142    0.222    0.088   -1.799
  25  Placebo  Male       0        1       0.063    0.108    0.036   -2.698
  23  Treated  Male       2        0       0.544    0.654    0.429    0.175
  23  Treated  Male       2        1       0.327    0.436    0.233   -0.724
  18  Placebo  Male       0        0       0.147    0.228    0.091   -1.761
  18  Placebo  Male       0        1       0.065    0.112    0.037   -2.660
  75  Treated  Male       0        0       0.553    0.664    0.437    0.213
  75  Treated  Male       0        1       0.335    0.446    0.240   -0.686
  21  Placebo  Male       0        0       0.178    0.272    0.111   -1.532
  21  Placebo  Male       0        1       0.081    0.136    0.047   -2.431
  39  Treated  Male       2        0       0.553    0.664    0.437    0.213
  39  Treated  Male       2        1       0.335    0.446    0.240   -0.686
  52  Placebo  Male       0        0       0.178    0.272    0.111   -1.532
  52  Placebo  Male       0        1       0.081    0.136    0.047   -2.431
  33  Treated  Male       0        0       0.590    0.701    0.470    0.366
  33  Treated  Male       0        1       0.370    0.488    0.265   -0.533
  45  Placebo  Male       0        0       0.195    0.297    0.122   -1.418
  45  Placebo  Male       0        1       0.090    0.152    0.052   -2.317
  55  Treated  Male       0        0       0.590    0.701    0.470    0.366
  55  Treated  Male       0        1       0.370    0.488    0.265   -0.533
  41  Placebo  Male       0        0       0.195    0.297    0.122   -1.418
  41  Placebo  Male       0        1       0.090    0.152    0.052   -2.317
  30  Treated  Male       0        0       0.600    0.710    0.478    0.404
  30  Treated  Male       0        1       0.379    0.499    0.272   -0.495
   8  Placebo  Male       2        0       0.201    0.306    0.125   -1.379
   8  Placebo  Male       2        1       0.093    0.157    0.053   -2.278
   5  Treated  Male       1        0       0.600    0.710    0.478    0.404
   5  Treated  Male       1        1       0.379    0.499    0.272   -0.495
  80  Placebo  Female     0        0       0.161    0.268    0.091   -1.654
  80  Placebo  Female     0        1       0.072    0.134    0.038   -2.553
  63  Treated  Male       0        0       0.644    0.755    0.516    0.595
  63  Treated  Male       0        1       0.425    0.555    0.304   -0.304

8

Graphic output from glogist2.sas

PLOT OF PREDICT * SEX = TREATL
[ GPLOT 09/27/99 ]
PLOT OF PREDICT * AGE = TREATL
[ GPLOT1 09/27/99 ]
PLOT OF PREDICT * AGE = TREATL
[ GPLOT2 09/27/99 ]