Gamma frailty model applied to skin graft data Independence Model Estimate S.E. Wald P-value MTCH -1.03448 0.43960 5.53761 0.01861 Testing Null Hypothesis: Frailty=0 Criterion No Frailty Frailty Chi-Square P-value -2 Log L 168.1611 165.8518 2.3093 0.1286 Frailty Model Estimate S.E. Wald Pvalue Frailty 0.71477 0.62316 1.31562 0.25138 MTCH -1.30669 0.52815 6.12116 0.01336 Gamma frailty model applied to tumor Recurrence Independence Model Estimate S.E. Wald P-value GP -0.21586 0.21419 1.01571 0.31354 TN1 -0.92227 0.26893 11.76123 0.00060 TN2 -0.63251 0.28636 4.87872 0.02719 Need to decrease initial value of theta called leftend in macro Tobit model for arsenic in water The REG Procedure Model: MODEL1 Dependent Variable: lwater Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| Intercept 1 -3.31033 0.72301 -4.58 0.0002 lnail 1 2.28100 0.42445 5.37 <.0001 The LIFEREG Procedure Analysis of Parameter Estimates Standard 95% Confidence Chi- Parameter DF Estimate Error Limits Square Intercept 1 -3.2435 0.8970 -5.0016 -1.4854 13.07 lnail 1 2.6038 0.5470 1.5317 3.6759 22.66 Scale 1 2.0709 0.4015 1.4161 3.0283 Tobit model for Injuries from lifing Lifereg Procedure Variable DF Estimate Std Err ChiSquare Pr>Chi Label/Value INTERCPT 1 -111.85927 30.59265 13.36933 0.0003 Intercept ALR 1 14.5819742 8.748764 2.778045 0.0956 SCALE 1 59.0023869 12.22716 Norm. scale Ulcer recurrence data Incorrect answer ignoring interval censoring The PHREG Procedure Analysis of Maximum Likelihood Estimates Parameter Standard Wald Pr > Variable DF Estimate Error Chi-Square Chi-Square TRT 1 0.188712 0.62736 0.09048 0.7636 Ulcer recurrence data Correct answer accounting for interval censoring The GENMOD Procedure Analysis Of Parameter Estimates Parameter DF Estimate Std Err ChiSquare Pr>Chi INTERCEPT 1 -1.7942 0.5792 9.5969 0.0019 TRT 1 0.1953 0.6279 0.0967 0.7558 PERIOD 0 1 -0.4120 0.6066 0.4612 0.4971 PERIOD 1 0 0.0000 0.0000 . . SCALE 0 1.0000 0.0000 . .