Larynx Cancer Survival Stage 2 and 3 Testing Stage, using STRATA command Test of Equality over Strata Pr > Test Chi-Square DF Chi-Square Log-Rank 1.4683 1 0.2256 Wilcoxon 2.2357 1 0.1349 -2Log(LR) 1.5069 1 0.2196 Larynx Cancer Survival Stage 2 and 3 Testing Stage, using TEST command Univariate Chi-Squares for the LOG RANK Test Test Standard Pr > Variable Statistic Deviation Chi-Square Chi-Square STAGE -2.8923 2.3955 1.4578 0.2273 Larynx Cancer Survival Stage 2 and 3 Tie handling same as for strata with LIFETEST The PHREG Procedure Data Set: WORK.STAGES23 Dependent Variable: TIME Censoring Variable: STATUS Censoring Value(s): 0 Ties Handling: DISCRETE Testing Global Null Hypothesis: BETA=0 Without With Criterion Covariates Covariates Model Chi-Square -2 LOG L 150.253 148.725 1.528 with 1 DF (p=0.2164) Score . . 1.468 with 1 DF (p=0.2256) Wald . . 1.434 with 1 DF (p=0.2310) Analysis of Maximum Likelihood Estimates Parameter Standard Wald Pr > Risk Variable DF Estimate Error Chi-Square Chi-Square Ratio STG3 1 0.542370 0.45285 1.43442 0.2310 1.720 Larynx Cancer Survival Stage 2 and 3 Tie handling same as for test with LIFETEST Ties Handling: BRESLOW Testing Global Null Hypothesis: BETA=0 Without With Criterion Covariates Covariates Model Chi-Square -2 LOG L 154.579 153.061 1.517 with 1 DF (p=0.2180) Score . . 1.458 with 1 DF (p=0.2273) Wald . . 1.424 with 1 DF (p=0.2328) Analysis of Maximum Likelihood Estimates Parameter Standard Wald Pr > Variable DF Estimate Error Chi-Square Chi-Square STG3 1 0.538627 0.45138 1.42392 0.2328 Larynx Cancer Survival Stage 2 and 3 Ties handled using Efron method The PHREG Procedure Ties Handling: EFRON Without With Criterion Covariates Covariates Model Chi-Square -2 LOG L 154.412 152.873 1.540 with 1 DF (p=0.2147) Score . . 1.479 with 1 DF (p=0.2239) Wald . . 1.444 with 1 DF (p=0.2295) Larynx Cancer Survival All Stages: ANOVA-- Like Analysis The PHREG Procedure Analysis of Maximum Likelihood Estimates Parameter Standard Wald Pr > Risk Variable DF Estimate Error Chi-Square Chi-Square Ratio STG2 1 0.065762 0.45844 0.02058 0.8859 1.068 STG3 1 0.612060 0.35520 2.96916 0.0849 1.844 STG4 1 1.722839 0.41966 16.85364 0.0001 5.600 Larynx Cancer Survival All Stages Age added as covariate Analysis of Maximum Likelihood Estimates Parameter Standard Wald Pr > Risk Variable DF Estimate Error Chi-Square Chi-Square Ratio STG2 1 0.138564 0.46231 0.08983 0.7644 1.149 STG3 1 0.638350 0.35608 3.21382 0.0730 1.893 STG4 1 1.693056 0.42221 16.08015 0.0001 5.436 AGE 1 0.018902 0.01425 1.75920 0.1847 1.019 Using stage as quant. instead of categorical Analysis of Maximum Likelihood Estimates Parameter Standard Wald Pr > Variable DF Estimate Error Chi-Square Chi-Square AGE 1 0.022515 0.01445 2.42748 0.1192 YEAR 1 -0.002593 0.07482 0.00120 0.9724 STAGE 1 0.498525 0.14111 12.48174 0.0004 Correct Way to use Stage as Categorical The PHREG Procedure Testing Global Null Hypothesis: BETA=0 Without With Criterion Covariates Covariates Model Chi-Square -2 LOG L 394.426 376.296 18.130 with 5 DF (p=0.0028) Score . . 24.396 with 5 DF (p=0.0002) Wald . . 20.872 with 5 DF (p=0.0009) Analysis of Maximum Likelihood Estimates Parameter Standard Wald Pr > Variable DF Estimate Error Chi-Square Chi-Square AGE 1 0.018545 0.01432 1.67671 0.1954 YEAR 1 -0.019226 0.07655 0.06309 0.8017 STG2 1 0.150784 0.46459 0.10533 0.7455 STG3 1 0.640904 0.35616 3.23807 0.0719 STG4 1 1.721001 0.43660 15.53801 0.0001 An alternate parameterization of stage The PHREG Procedure Analysis of Maximum Likelihood Estimates Parameter Standard Wald Pr > Risk Variable DF Estimate Error Chi-Square Chi-Square Ratio STG1 1 -1.722839 0.41966 16.85364 0.0001 0.179 STG2 1 -1.657077 0.49815 11.06540 0.0009 0.191 STG3 1 -1.110778 0.40626 7.47574 0.0063 0.329 Correct way to use interactions The PHREG Procedure Without With Criterion Covariates Covariates Model Chi-Square -2 LOG L 394.426 370.154 24.272 with 8 DF (p=0.0021) Score . . 28.632 with 8 DF (p=0.0004) Wald . . 24.092 with 8 DF (p=0.0022) Analysis of Maximum Likelihood Estimates Parameter Standard Wald Pr > Variable DF Estimate Error Chi-Square Chi-Square AGE 1 -0.002549 0.02605 0.00957 0.9221 YEAR 1 0.002829 0.07567 0.00140 0.9702 STG2 1 -7.974518 3.76107 4.49558 0.0340 STG3 1 -0.127687 2.47200 0.00267 0.9588 STG4 1 0.840074 2.43240 0.11928 0.7298 AS2 1 0.120649 0.05344 5.09709 0.0240 AS3 1 0.011424 0.03750 0.09283 0.7606 AS4 1 0.013717 0.03598 0.14532 0.7030