Output from logidiab.sas |
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4 Graphs |
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Diabetes data: logistic regression 1
The LOGISTIC Procedure
Data Set: WORK.DIABETES Response Variable: GROUP Clinical Group Response Levels: 3 Number of Observations: 145 Link Function: Logit
Response Profile Ordered Value GROUP Count
1 (3) Overt Diabetic 33 2 (2) Chem. Diabetic 36 3 (1) Normal 76
WARNING: 55 observation(s) were deleted due to missing values for the response or explanatory variables.
Score Test for the Proportional Odds Assumption
Chi-Square = 16.0881 with 1 DF (p=0.0001)
Model Fitting Information and Testing Global Null Hypothesis BETA=0 Intercept Intercept and Criterion Only Covariates Chi-Square for Covariates
AIC 300.198 48.358 . SC 306.152 57.289 . -2 LOG L 296.198 42.358 253.840 with 1 DF (p=0.0001) Score . . 92.434 with 1 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 -41.0995 8.3690 24.1172 0.0001 . . INTERCP2 1 -29.1971 5.9300 24.2425 0.0001 . . GLUTEST 1 0.0691 0.0142 23.5179 0.0001 12.070608 1.072
Diabetes data: logistic regression 2
The LOGISTIC Procedure Association of Predicted Probabilities and Observed Responses
Concordant = 72.6% Somers' D = 0.723 Discordant = 0.2% Gamma = 0.993 Tied = 27.2% Tau-a = 0.446 (6432 pairs) c = 0.862
Printout of first 10 observations of PROBS 3
OBS PATIENT GROUP GLUTEST _LEVEL_ PROB
1 1 (1) Normal 356 (3) Overt Diabetic .0000001 2 1 (1) Normal 356 (2) Chem. Diabetic .0098922 3 2 (1) Normal 289 (3) Overt Diabetic .0000000 4 2 (1) Normal 289 (2) Chem. Diabetic .0000976 5 3 (1) Normal 319 (3) Overt Diabetic .0000000 6 3 (1) Normal 319 (2) Chem. Diabetic .0007750 7 4 (1) Normal 356 (3) Overt Diabetic .0000001 8 4 (1) Normal 356 (2) Chem. Diabetic .0098922 9 5 (1) Normal 323 (3) Overt Diabetic .0000000 10 5 (1) Normal 323 (2) Chem. Diabetic .0010214
4 Individual Density Plots
The LOGISTIC Procedure
Data Set: WORK.DIABETES Response Variable: GROUP Clinical Group Response Levels: 3 Number of Observations: 145 Link Function: Logit
Response Profile Ordered Value GROUP Count
1 (3) Overt Diabetic 33 2 (2) Chem. Diabetic 36 3 (1) Normal 76
WARNING: 55 observation(s) were deleted due to missing values for the response or explanatory variables.
Score Test for the Proportional Odds Assumption
Chi-Square = 16.0881 with 1 DF (p=0.0001)
Model Fitting Information and Testing Global Null Hypothesis BETA=0 Intercept Intercept and Criterion Only Covariates Chi-Square for Covariates
AIC 300.198 48.358 . SC 306.152 57.289 . -2 LOG L 296.198 42.358 253.840 with 1 DF (p=0.0001) Score . . 92.434 with 1 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 -41.0995 8.3690 24.1172 0.0001 . . INTERCP2 1 -29.1971 5.9300 24.2425 0.0001 . . GLUTEST 1 0.0691 0.0142 23.5179 0.0001 12.070608 1.072
5 Individual Density Plots
The LOGISTIC Procedure Association of Predicted Probabilities and Observed Responses
Concordant = 72.6% Somers' D = 0.723 Discordant = 0.2% Gamma = 0.993 Tied = 27.2% Tau-a = 0.446 (6432 pairs) c = 0.862
6 Individual Density Plots
CATMOD PROCEDURE
Response: GROUP Response Levels (R)= 3 Weight Variable: None Populations (S)= 118 Data Set: DIABETES Total Frequency (N)= 145 Frequency Missing: 55 Observations (Obs)= 145
7 Individual Density Plots
POPULATION PROFILES Sample Sample GLUTEST Size -------------------------
1 269 1 2 277 1 3 289 1 4 290 1 5 291 2 6 296 2 7 301 1 8 304 1 9 306 2 10 312 1 11 313 1 12 318 2 13 319 2 14 321 1 15 323 3 16 325 1 17 327 1 18 328 1 19 332 1 20 333 1 21 334 1 22 335 1 23 336 1 24 345 1 25 347 1 26 349 1 27 350 1 28 351 1 29 352 2 30 353 2 31 356 4 32 359 1 33 360 3 34 364 2 35 365 2 36 367 1 37 371 1 38 373 1 39 376 2 40 378 2 41 379 1 42 381 1 43 385 1 44 386 1 45 390 1 46 391 2 47 393 3 48 396 1
8 Individual Density Plots
POPULATION PROFILES Sample Sample GLUTEST Size -------------------------
49 398 2 50 403 1 51 413 1 52 414 1 53 416 1 54 418 1 55 423 1 56 425 1 57 426 2 58 429 1 59 436 1 60 439 1 61 442 1 62 455 1 63 456 1 64 465 1 65 466 1 66 469 1 67 472 4 68 476 1 69 477 1 70 478 1 71 486 1 72 503 2 73 517 1 74 522 1 75 527 1 76 533 1 77 537 1 78 538 1 79 540 1 80 541 1 81 557 1 82 558 1 83 562 1 84 568 1 85 580 1 86 599 1 87 613 1 88 636 1 89 643 1 90 670 1 91 714 1 92 741 1 93 832 1 94 847 1 95 849 1 96 854 1
9 Individual Density Plots
POPULATION PROFILES Sample Sample GLUTEST Size -------------------------
97 857 1 98 920 1 99 923 1 100 958 1 101 967 1 102 972 1 103 1001 1 104 1025 1 105 1113 1 106 1133 1 107 1183 1 108 1246 1 109 1263 1 110 1354 1 111 1364 1 112 1373 1 113 1428 1 114 1468 1 115 1470 1 116 1487 1 117 1520 1 118 1568 1
RESPONSE PROFILES Response GROUP ---------------
1 1 2 2 3 3
10 Individual Density Plots
MAXIMUM-LIKELIHOOD ANALYSIS Sub -2 Log Convergence Iteration Iteration Likelihood Criterion ------------------------------------------------
0 0 318.59756 1.0000 1 0 183.83628 0.4230 2 0 132.96952 0.2767 3 0 85.735908 0.3552 4 0 57.297412 0.3317 5 0 42.24083 0.2628 6 0 34.720224 0.1780 7 0 31.32446 0.0978 8 0 29.850327 0.0471 9 0 29.33869 0.0171 10 0 29.248154 0.003086 11 0 29.244598 0.000122 12 0 29.244592 2.1775E-7 13 0 29.244592 7.316E-13
Parameter Estimates Iteration 1 2 3 4 ---------------------------------------------------------
0 0 0 0 0 1 4.4095 2.1243 -0.006475 -0.003794 2 8.2124 4.0249 -0.0139 -0.005714 3 15.1736 6.3116 -0.0288 -0.009138 4 24.6085 9.3020 -0.0495 -0.0140 5 36.3701 12.7753 -0.0757 -0.0201 6 50.6706 16.5016 -0.1078 -0.0267 7 66.3692 18.8878 -0.1440 -0.0309 8 82.5671 19.4327 -0.1823 -0.0318 9 97.7806 19.4527 -0.2185 -0.0319 10 107.3411 19.4528 -0.2412 -0.0319 11 109.7202 19.4528 -0.2469 -0.0319 12 109.8264 19.4528 -0.2471 -0.0319 13 109.8266 19.4528 -0.2471 -0.0319
MAXIMUM-LIKELIHOOD ANALYSIS-OF-VARIANCE TABLE Source DF Chi-Square Prob --------------------------------------------------
INTERCEPT 2 13.57 0.0011 GLUTEST 2 12.70 0.0017 LIKELIHOOD RATIO 232 26.47 1.0000
11 Individual Density Plots
ANALYSIS OF MAXIMUM-LIKELIHOOD ESTIMATES Standard Chi- Effect Parameter Estimate Error Square Prob ----------------------------------------------------------------
INTERCEPT 1 109.8 43.0212 6.52 0.0107 2 19.4528 6.4615 9.06 0.0026 GLUTEST 3 -0.2471 0.1018 5.90 0.0152 4 -0.0319 0.0111 8.18 0.0042
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PLOT OF LOGIT * GLUTEST = _LEVEL_ [GPLOT 09/27/99 ] | |
PLOT OF PROB * GLUTEST = _LEVEL_ [GPLOT1 09/27/99 ] | |
PLOT OF PROB_3 * GLUTEST [GPLOT2 09/27/99 ] | |
PLOT OF PROB_3 * GLUTEST [GPLOT3 09/27/99 ] |