EXAMPLE OF STRATIFIED COX REGRESSION - YOURNAME 1 THE DATA AS SAS SEES IT 00:33 Tuesday, December 6, 2005 Obs id time status treatment renal 1 1 8 1 1 1 2 2 180 1 2 0 3 3 632 1 2 0 4 4 852 0 1 0 5 5 52 1 1 1 6 6 2240 0 2 0 7 7 220 1 1 0 8 8 63 1 1 1 9 9 195 1 2 0 10 10 76 1 2 0 11 11 70 1 2 0 12 12 8 1 1 0 13 13 13 1 2 1 14 14 1990 0 2 0 15 15 1976 0 1 0 16 16 18 1 2 1 17 17 700 1 2 0 18 18 1296 0 1 0 19 19 1460 0 1 0 20 20 210 1 2 0 21 21 63 1 1 1 22 22 1328 0 1 0 23 23 1296 1 2 0 24 24 365 0 1 0 25 25 23 1 2 1 EXAMPLE OF STRATIFIED COX REGRESSION - YOURNAME 2 THE DATA AS SAS SEES IT 00:33 Tuesday, December 6, 2005 The LIFETEST Procedure Summary of the Number of Censored and Uncensored Values Percent Stratum treatment Total Failed Censored Censored 1 1 12 6 6 50.00 2 2 13 11 2 15.38 ------------------------------------------------------------------- Total 25 17 8 32.00 EXAMPLE OF STRATIFIED COX REGRESSION - YOURNAME 3 THE DATA AS SAS SEES IT 00:33 Tuesday, December 6, 2005 The LIFETEST Procedure Survival Function Estimates SDF | | | | | | 1.0 + * | | | | S | * u | | r | *B v | AA i 0.8 + | v | *B a | AA l | | | * D | | i | *--B s 0.6 + | | t | A---A r | B| i | |A b | | u | B t | | i 0.4 + | o | B----------B n | | | B-B F | | u | | n | B-------------B c 0.2 + | t | | i | B o | n | | | 0.0 + | | | | | | ----+----+----+----+----+----+----+----+----+----+----+----+----+---- 0 200 400 600 800 1000 1200 1400 1600 1800 2000 2200 2400 time EXAMPLE OF STRATIFIED COX REGRESSION - YOURNAME 4 THE DATA AS SAS SEES IT 00:33 Tuesday, December 6, 2005 The LIFETEST Procedure Censored Observations Strata B + B B A + A A AA A A ---+-----+-----+-----+-----+-----+-----+-----+-----+-----+--- 0 250 500 750 1000 1250 1500 1750 2000 2250 time Legend for Strata Stratum Symbol treatment 1 A 1 2 B 2 EXAMPLE OF STRATIFIED COX REGRESSION - YOURNAME 5 THE DATA AS SAS SEES IT 00:33 Tuesday, December 6, 2005 The LIFETEST Procedure Testing Homogeneity of Survival Curves for time over Strata Rank Statistics treatment Log-Rank Wilcoxon 1 -2.3376 -18.000 2 2.3376 18.000 Covariance Matrix for the Log-Rank Statistics treatment 1 2 1 4.16301 -4.16301 2 -4.16301 4.16301 Covariance Matrix for the Wilcoxon Statistics treatment 1 2 1 1301.00 -1301.00 2 -1301.00 1301.00 Test of Equality over Strata Pr > Test Chi-Square DF Chi-Square Log-Rank 1.3126 1 0.2519 Wilcoxon 0.2490 1 0.6178 -2Log(LR) 1.5240 1 0.2170 EXAMPLE OF STRATIFIED COX REGRESSION - YOURNAME 6 TREATMENT ONLY 00:33 Tuesday, December 6, 2005 The PHREG Procedure Model Information Data Set WORK.MYEL Dependent Variable time Censoring Variable status Censoring Value(s) 0 Ties Handling BRESLOW Number of Observations Read 25 Number of Observations Used 25 Summary of the Number of Event and Censored Values Percent Total Event Censored Censored 25 17 8 32.00 Convergence Status Convergence criterion (GCONV=1E-8) satisfied. Model Fit Statistics Without With Criterion Covariates Covariates -2 LOG L 94.084 92.765 AIC 94.084 94.765 SBC 94.084 95.598 Testing Global Null Hypothesis: BETA=0 Test Chi-Square DF Pr > ChiSq Likelihood Ratio 1.3191 1 0.2508 Score 1.2975 1 0.2547 Wald 1.2633 1 0.2610 Analysis of Maximum Likelihood Estimates Parameter Standard Hazard Variable DF Estimate Error Chi-Square Pr > ChiSq Ratio treatment 1 0.57276 0.50960 1.2633 0.2610 1.773 EXAMPLE OF STRATIFIED COX REGRESSION - YOURNAME 7 TREATMENT WITHIN RENAL STRATA 00:33 Tuesday, December 6, 2005 The PHREG Procedure Model Information Data Set WORK.MYEL Dependent Variable time Censoring Variable status Censoring Value(s) 0 Ties Handling BRESLOW Number of Observations Read 25 Number of Observations Used 25 Summary of the Number of Event and Censored Values Percent Stratum renal Total Event Censored Censored 1 0 18 10 8 44.44 2 1 7 7 0 0.00 ------------------------------------------------------------------- Total 25 17 8 32.00 Convergence Status Convergence criterion (GCONV=1E-8) satisfied. Model Fit Statistics Without With Criterion Covariates Covariates -2 LOG L 69.114 63.041 AIC 69.114 65.041 SBC 69.114 65.874 Testing Global Null Hypothesis: BETA=0 Test Chi-Square DF Pr > ChiSq Likelihood Ratio 6.0736 1 0.0137 Score 5.7908 1 0.0161 Wald 4.9254 1 0.0265 Analysis of Maximum Likelihood Estimates Parameter Standard Hazard Variable DF Estimate Error Chi-Square Pr > ChiSq Ratio treatment 1 1.46398 0.65965 4.9254 0.0265 4.323 EXAMPLE OF STRATIFIED COX REGRESSION - YOURNAME 8 TREATMENT AND RENAL 00:33 Tuesday, December 6, 2005 The PHREG Procedure Model Information Data Set WORK.MYEL Dependent Variable time Censoring Variable status Censoring Value(s) 0 Ties Handling BRESLOW Number of Observations Read 25 Number of Observations Used 25 Summary of the Number of Event and Censored Values Percent Total Event Censored Censored 25 17 8 32.00 Convergence Status Convergence criterion (GCONV=1E-8) satisfied. Model Fit Statistics Without With Criterion Covariates Covariates -2 LOG L 94.084 71.415 AIC 94.084 75.415 SBC 94.084 77.081 Testing Global Null Hypothesis: BETA=0 Test Chi-Square DF Pr > ChiSq Likelihood Ratio 22.6687 2 <.0001 Score 27.0215 2 <.0001 Wald 13.5094 2 0.0012 Analysis of Maximum Likelihood Estimates Parameter Standard Hazard Variable DF Estimate Error Chi-Square Pr > ChiSq Ratio treatment 1 1.24308 0.59932 4.3021 0.0381 3.466 renal 1 4.10540 1.16451 12.4286 0.0004 60.667