Output from logist1c.sas

 Source
2 Graphs 
                           Arthritis treatment data                          1
                     Linear and Logit Regressions on 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                          2
                    Logit Regression on Age and Treatment

                            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       105.046         .
  SC              120.880       112.338         .
  -2 LOG L        116.449        99.046       17.403 with 2 DF (p=0.0002)
  Score              .             .          16.237 with 2 DF (p=0.0003)


                   Analysis of Maximum Likelihood Estimates

              Parameter Standard    Wald       Pr >    Standardized     Odds
  Variable DF  Estimate   Error  Chi-Square Chi-Square   Estimate      Ratio

  INTERCPT 1    -3.3322   1.1495     8.4029     0.0037            .     .
  AGE      1     0.0487   0.0201     5.8791     0.0153     0.342859    1.050
  _TREAT_  1     1.5011   0.4889     9.4283     0.0021     0.416168    4.487


        Association of Predicted Probabilities and Observed Responses
                  Concordant = 75.5%          Somers' D = 0.521
                  Discordant = 23.4%          Gamma     = 0.527
                  Tied       =  1.1%          Tau-a     = 0.264
                  (1764 pairs)                c         = 0.760
                           Arthritis treatment data                          3
                    Logit Regression on Age and Treatment

                        I                 _      _        P
                        M         B       T      L        R
      T                 P         E       R _    E        E       L       U
      R                 R  C      T       E S    V        D       O       P
 O    E      S        A O  A      T       A E    E        I       W       P
 B    A      E     I  G V  S      E       T X    L        C       E       E
 S    T      X     D  E E  E      R       _ _    _        T       R       R
 1 Placebo Female 80 23 0 24 not improved 0 1 improved 0.09867 0.02598 0.31000
 2 Treated Female 66 23 0 29 not improved 1 1 improved 0.32938 0.11277 0.65493
 3 Treated Male   57 27 1  1 improved     1 0 improved 0.37375 0.14991 0.66884
 4 Treated Male   46 29 0  3 not improved 1 0 improved 0.39681 0.17166 0.67620
 5 Treated Male   77 30 0  5 not improved 1 0 improved 0.40852 0.18333 0.68000
 6 Placebo Female 12 30 0 26 not improved 0 1 improved 0.13341 0.04538 0.33269
 7 Placebo Female 29 30 0 28 not improved 0 1 improved 0.13341 0.04538 0.33269
 8 Placebo Female 50 31 1 30 improved     0 1 improved 0.13914 0.04902 0.33631
 9 Treated Male   17 32 2  7 improved     1 0 improved 0.43225 0.20824 0.68788
10 Treated Female 40 32 0 31 not improved 1 1 improved 0.43225 0.20824 0.68788
11 Placebo Female 38 32 0 32 not improved 0 1 improved 0.14507 0.05292 0.34006
12 Placebo Female 35 33 2 34 improved     0 1 improved 0.15122 0.05709 0.34393
13 Placebo Male    9 37 0  2 not improved 0 0 improved 0.17795 0.07660 0.36099
14 Treated Female  6 37 1 33 improved     1 1 improved 0.49271 0.27859 0.70954
15 Placebo Female 51 37 0 36 not improved 0 1 improved 0.17795 0.07660 0.36099
16 Treated Female  7 41 0 35 not improved 1 1 improved 0.54132 0.34053 0.72952
17 Treated Female 72 41 2 37 improved     1 1 improved 0.54132 0.34053 0.72952
18 Placebo Male   14 44 0  4 not improved 0 0 improved 0.23337 0.12227 0.39949
19 Placebo Female 54 44 0 38 not improved 0 1 improved 0.23337 0.12227 0.39949
20 Placebo Female 76 45 0 40 not improved 0 1 improved 0.24220 0.12990 0.40625
21 Treated Male   36 46 2  9 improved     1 0 improved 0.60088 0.41869 0.75886
22 Placebo Female 16 46 0 42 not improved 0 1 improved 0.25125 0.13775 0.41342
23 Treated Female 37 48 0 39 not improved 1 1 improved 0.62400 0.44838 0.77212
24 Treated Female 82 48 2 41 improved     1 1 improved 0.62400 0.44838 0.77212
25 Placebo Female 69 48 0 44 not improved 0 1 improved 0.27001 0.15399 0.42911
26 Placebo Female 31 49 0 46 not improved 0 1 improved 0.27972 0.16231 0.43769
27 Placebo Male   73 50 0  6 not improved 0 0 improved 0.28964 0.17070 0.44679
28 Placebo Male   74 51 0  8 not improved 0 0 improved 0.29976 0.17913 0.45646
29 Placebo Female 20 51 0 48 not improved 0 1 improved 0.29976 0.17913 0.45646
30 Placebo Male   25 52 0 10 not improved 0 0 improved 0.31008 0.18754 0.46670
31 Placebo Male   18 53 0 12 not improved 0 0 improved 0.32059 0.19589 0.47753
32 Placebo Female 68 53 0 50 not improved 0 1 improved 0.32059 0.19589 0.47753
33 Placebo Female 81 54 0 52 not improved 0 1 improved 0.33129 0.20415 0.48897
34 Placebo Female  4 54 0 54 not improved 0 1 improved 0.33129 0.20415 0.48897
35 Placebo Female 78 54 2 56 improved     0 1 improved 0.33129 0.20415 0.48897
36 Treated Female 53 55 2 43 improved     1 1 improved 0.70003 0.53722 0.82430
37 Treated Female 79 55 2 45 improved     1 1 improved 0.70003 0.53722 0.82430
38 Placebo Female 70 55 2 58 improved     0 1 improved 0.34217 0.21227 0.50100
39 Treated Female 26 56 2 47 improved     1 1 improved 0.71016 0.54767 0.83217
40 Treated Female 28 57 2 49 improved     1 1 improved 0.72008 0.55755 0.84004
41 Treated Female 60 57 2 51 improved     1 1 improved 0.72008 0.55755 0.84004
42 Treated Female 22 57 2 53 improved     1 1 improved 0.72008 0.55755 0.84004
43 Placebo Female 49 57 0 60 not improved 0 1 improved 0.36442 0.22797 0.52680
44 Placebo Female 10 57 1 62 improved     0 1 improved 0.36442 0.22797 0.52680
                           Arthritis treatment data                          4
                    Logit Regression on Age and Treatment

                        I                 _      _        P
                        M         B       T      L        R
      T                 P         E       R _    E        E       L       U
      R                 R  C      T       E S    V        D       O       P
 O    E      S        A O  A      T       A E    E        I       W       P
 B    A      E     I  G V  S      E       T X    L        C       E       E
 S    T      X     D  E E  E      R       _ _    _        T       R       R
45 Treated Male   23 58 2 11 improved     1 0 improved 0.72979 0.56689 0.84787
46 Treated Female 27 58 0 55 not improved 1 1 improved 0.72979 0.56689 0.84787
47 Placebo Female 47 58 1 64 improved     0 1 improved 0.37577 0.23550 0.54052
48 Treated Male   75 59 0 13 not improved 1 0 improved 0.73929 0.57570 0.85562
49 Placebo Male   21 59 0 14 not improved 0 0 improved 0.38726 0.24279 0.55473
50 Treated Male   39 59 2 15 improved     1 0 improved 0.73929 0.57570 0.85562
51 Placebo Male   52 59 0 16 not improved 0 0 improved 0.38726 0.24279 0.55473
52 Treated Female  2 59 2 57 improved     1 1 improved 0.73929 0.57570 0.85562
53 Treated Female 59 59 2 59 improved     1 1 improved 0.73929 0.57570 0.85562
54 Placebo Female 44 59 1 66 improved     0 1 improved 0.38726 0.24279 0.55473
55 Placebo Female 24 59 2 68 improved     0 1 improved 0.38726 0.24279 0.55473
56 Treated Female 62 60 2 61 improved     1 1 improved 0.74856 0.58402 0.86326
57 Treated Female 84 61 2 63 improved     1 1 improved 0.75762 0.59187 0.87075
58 Placebo Female 48 61 0 70 not improved 0 1 improved 0.41061 0.25661 0.58439
59 Placebo Male   45 62 0 18 not improved 0 0 improved 0.42245 0.26314 0.59971
60 Placebo Male   41 62 0 20 not improved 0 0 improved 0.42245 0.26314 0.59971
61 Treated Female 64 62 1 65 improved     1 1 improved 0.76645 0.59928 0.87807
62 Treated Female 34 62 2 67 improved     1 1 improved 0.76645 0.59928 0.87807
63 Treated Male   33 63 0 17 not improved 1 0 improved 0.77505 0.60628 0.88518
64 Treated Male   55 63 0 19 not improved 1 0 improved 0.77505 0.60628 0.88518
65 Placebo Male    8 63 2 22 improved     0 0 improved 0.43437 0.26941 0.61528
66 Placebo Female 19 63 1 72 improved     0 1 improved 0.43437 0.26941 0.61528
67 Treated Male   30 64 0 21 not improved 1 0 improved 0.78343 0.61290 0.89207
68 Treated Male    5 64 1 23 improved     1 0 improved 0.78343 0.61290 0.89207
69 Placebo Female  3 64 0 74 not improved 0 1 improved 0.44638 0.27544 0.63101
70 Placebo Female 67 65 2 76 improved     0 1 improved 0.45844 0.28124 0.64682
71 Treated Female 58 66 2 69 improved     1 1 improved 0.79950 0.62512 0.90508
72 Placebo Female 32 66 0 78 not improved 0 1 improved 0.47055 0.28680 0.66265
73 Placebo Female 42 66 0 80 not improved 0 1 improved 0.47055 0.28680 0.66265
74 Placebo Female 15 66 1 82 improved     0 1 improved 0.47055 0.28680 0.66265
75 Treated Female 13 67 2 71 improved     1 1 improved 0.80719 0.63076 0.91119
76 Treated Female 61 68 1 73 improved     1 1 improved 0.81466 0.63614 0.91702
77 Treated Female 65 68 2 75 improved     1 1 improved 0.81466 0.63614 0.91702
78 Placebo Female 71 68 1 83 improved     0 1 improved 0.49487 0.29732 0.69404
79 Treated Male   63 69 0 25 not improved 1 0 improved 0.82190 0.64126 0.92257
80 Treated Female 11 69 0 77 not improved 1 1 improved 0.82190 0.64126 0.92257
81 Treated Female 56 69 1 79 improved     1 1 improved 0.82190 0.64126 0.92257
82 Treated Male   83 70 2 27 improved     1 0 improved 0.82892 0.64615 0.92783
83 Treated Female 43 70 1 81 improved     1 1 improved 0.82892 0.64615 0.92783
84 Placebo Female  1 74 2 84 improved     0 1 improved 0.56751 0.32476 0.78166
                                                                             5

Graphic output from logist1c.sas

PLOT OF BETTER * AGE
[GPLOT 09/27/99 ]
PLOT OF PREDICT * AGE = TREAT
[ GPLOT1 09/27/99 ]