%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% UNSTRUCTURED CORRELATION 1 The GENMOD Procedure Model Information Description Value Data Set WORK.SEIZURE Distribution POISSON Link Function LOG Dependent Variable SEIZE Observations Used 236 Class Level Information Class Levels Values SUBJECT 59 101 102 103 104 106 107 108 110 111 112 113 114 116 117 118 121 122 123 124 126 128 129 130 135 137 139 141 143 145 147 201 202 203 204 205 206 207 208 209 210 211 213 214 215 217 218 219 220 221 222 225 226 227 228 230 232 234 236 238 Parameter Information Parameter Effect PRM1 INTERCEPT PRM2 LOGBASE PRM3 LOGAGE PRM4 TRT PRM5 VISIT Criteria For Assessing Goodness Of Fit Criterion DF Value Value/DF Deviance 231 947.0187 4.0996 Scaled Deviance 231 947.0187 4.0996 Pearson Chi-Square 231 1104.0375 4.7794 Scaled Pearson X2 231 1104.0375 4.7794 Log Likelihood . 2955.2851 . Analysis Of Initial Parameter Estimates Parameter DF Estimate Std Err ChiSquare Pr>Chi INTERCEPT 1 -2.2631 0.4065 30.9913 0.0001 LOGBASE 1 1.2252 0.0325 1419.2140 0.0001 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% UNSTRUCTURED CORRELATION 2 Analysis Of Initial Parameter Estimates Parameter DF Estimate Std Err ChiSquare Pr>Chi LOGAGE 1 0.5878 0.1099 28.5924 0.0001 TRT 1 -0.0176 0.0482 0.1333 0.7150 VISIT 1 -0.0587 0.0203 8.3811 0.0038 SCALE 0 1.0000 0.0000 . . NOTE: The scale parameter was held fixed. GEE Model Information Description Value Correlation Structure Unstructured Subject Effect SUBJECT (59 levels) Number of Clusters 59 Correlation Matrix Dimension 4 Maximum Cluster Size 4 Minimum Cluster Size 4 Covariance Matrix (Model-Based) Covariances are Above the Diagonal and Correlations are Below Parameter Number PRM1 PRM2 PRM3 PRM4 PRM5 PRM1 1.67931 -0.06364 -0.44507 -0.07806 -0.003576 PRM2 -0.47123 0.01086 0.01092 0.002009 -3.3E-18 PRM3 -0.97617 0.29793 0.12379 0.01851 -3.71E-17 PRM4 -0.39061 0.12502 0.34118 0.02378 -7.06E-18 PRM5 -0.07122 -8.17E-16 -2.72E-15 -1.18E-15 0.001501 Covariance Matrix (Empirical) Covariances are Above the Diagonal and Correlations are Below Parameter Number PRM1 PRM2 PRM3 PRM4 PRM5 PRM1 1.03745 -0.05397 -0.26557 -0.05893 -0.000039 PRM2 -0.32859 0.02600 -0.001601 0.01584 -0.001361 PRM3 -0.92579 -0.03525 0.07932 0.004726 0.0002765 PRM4 -0.31121 0.52827 0.09025 0.03457 -0.002619 PRM5 -0.001011 -0.22089 0.02570 -0.36877 0.001459 Working Correlation Matrix COL1 COL2 COL3 COL4 ROW1 1.0000 0.4482 0.3938 0.2424 ROW2 0.4482 1.0000 0.5829 0.3091 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% UNSTRUCTURED CORRELATION 3 Working Correlation Matrix COL1 COL2 COL3 COL4 ROW3 0.3938 0.5829 1.0000 0.4237 ROW4 0.2424 0.3091 0.4237 1.0000 Analysis Of GEE Parameter Estimates Empirical Standard Error Estimates Empirical 95% Confidence Limits Parameter Estimate Std Err Lower Upper Z Pr>|Z| INTERCEPT -2.4058 1.0186 -4.4021 -0.4094 -2.362 0.0182 LOGBASE 1.2340 0.1612 0.9179 1.5500 7.6527 0.0000 LOGAGE 0.6207 0.2816 0.0687 1.1727 2.2038 0.0275 TRT -0.0223 0.1859 -0.3867 0.3421 -.1199 0.9045 VISIT -0.0556 0.0382 -0.1305 0.0193 -1.456 0.1455 Scale 2.1744 . . . . . NOTE: The scale parameter for GEE estimation was computed as the square root of the normalized Pearson's chi-square. Analysis Of GEE Parameter Estimates Model-Based Standard Error Estimates Model 95% Confidence Limits Parameter Estimate Std Err Lower Upper Z Pr>|Z| INTERCEPT -2.4058 1.2959 -4.9456 0.1341 -1.856 0.0634 LOGBASE 1.2340 0.1042 1.0297 1.4382 11.840 0.0000 LOGAGE 0.6207 0.3518 -0.0689 1.3102 1.7641 0.0777 TRT -0.0223 0.1542 -0.3245 0.2799 -.1446 0.8850 VISIT -0.0556 0.0387 -0.1315 0.0203 -1.435 0.1512 Scale 2.1744 . . . . . %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% EXCHANGEABLE (COMPOUND SYMMETRY) CORRELATION 4 The GENMOD Procedure Model Information Description Value Data Set WORK.SEIZURE Distribution POISSON Link Function LOG Dependent Variable SEIZE Observations Used 236 Class Level Information Class Levels Values SUBJECT 59 101 102 103 104 106 107 108 110 111 112 113 114 116 117 118 121 122 123 124 126 128 129 130 135 137 139 141 143 145 147 201 202 203 204 205 206 207 208 209 210 211 213 214 215 217 218 219 220 221 222 225 226 227 228 230 232 234 236 238 Parameter Information Parameter Effect PRM1 INTERCEPT PRM2 LOGBASE PRM3 LOGAGE PRM4 TRT PRM5 VISIT Criteria For Assessing Goodness Of Fit Criterion DF Value Value/DF Deviance 231 947.0187 4.0996 Scaled Deviance 231 947.0187 4.0996 Pearson Chi-Square 231 1104.0375 4.7794 Scaled Pearson X2 231 1104.0375 4.7794 Log Likelihood . 2955.2851 . Analysis Of Initial Parameter Estimates Parameter DF Estimate Std Err ChiSquare Pr>Chi INTERCEPT 1 -2.2631 0.4065 30.9913 0.0001 LOGBASE 1 1.2252 0.0325 1419.2140 0.0001 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% EXCHANGEABLE (COMPOUND SYMMETRY) CORRELATION 5 Analysis Of Initial Parameter Estimates Parameter DF Estimate Std Err ChiSquare Pr>Chi LOGAGE 1 0.5878 0.1099 28.5924 0.0001 TRT 1 -0.0176 0.0482 0.1333 0.7150 VISIT 1 -0.0587 0.0203 8.3811 0.0038 SCALE 0 1.0000 0.0000 . . NOTE: The scale parameter was held fixed. GEE Model Information Description Value Correlation Structure Exchangeable Subject Effect SUBJECT (59 levels) Number of Clusters 59 Correlation Matrix Dimension 4 Maximum Cluster Size 4 Minimum Cluster Size 4 Covariance Matrix (Model-Based) Covariances are Above the Diagonal and Correlations are Below Parameter Number PRM1 PRM2 PRM3 PRM4 PRM5 PRM1 1.68114 -0.06382 -0.44624 -0.07818 -0.002705 PRM2 -0.47185 0.01088 0.01097 0.002004 -5.04E-18 PRM3 -0.97685 0.29854 0.12413 0.01853 -3.15E-17 PRM4 -0.39044 0.12437 0.34048 0.02385 -5.97E-18 PRM5 -0.06123 -1.42E-15 -2.62E-15 -1.13E-15 0.001161 Covariance Matrix (Empirical) Covariances are Above the Diagonal and Correlations are Below Parameter Number PRM1 PRM2 PRM3 PRM4 PRM5 PRM1 1.09191 -0.05524 -0.28092 -0.05710 -0.000605 PRM2 -0.33835 0.02441 -0.000029 0.01343 -0.001214 PRM3 -0.93397 -0.000644 0.08286 0.004902 0.0005397 PRM4 -0.28697 0.45157 0.08943 0.03626 -0.002456 PRM5 -0.01654 -0.22207 0.05358 -0.36862 0.001225 Working Correlation Matrix COL1 COL2 COL3 COL4 ROW1 1.0000 0.3994 0.3994 0.3994 ROW2 0.3994 1.0000 0.3994 0.3994 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% EXCHANGEABLE (COMPOUND SYMMETRY) CORRELATION 6 Working Correlation Matrix COL1 COL2 COL3 COL4 ROW3 0.3994 0.3994 1.0000 0.3994 ROW4 0.3994 0.3994 0.3994 1.0000 Analysis Of GEE Parameter Estimates Empirical Standard Error Estimates Empirical 95% Confidence Limits Parameter Estimate Std Err Lower Upper Z Pr>|Z| INTERCEPT -2.3317 1.0449 -4.3798 -0.2837 -2.231 0.0257 LOGBASE 1.2290 0.1562 0.9227 1.5352 7.8659 0.0000 LOGAGE 0.6049 0.2878 0.0407 1.1691 2.1015 0.0356 TRT -0.0118 0.1904 -0.3850 0.3614 -.0622 0.9504 VISIT -0.0587 0.0350 -0.1273 0.0099 -1.678 0.0934 Scale 2.1647 . . . . . NOTE: The scale parameter for GEE estimation was computed as the square root of the normalized Pearson's chi-square. Analysis Of GEE Parameter Estimates Model-Based Standard Error Estimates Model 95% Confidence Limits Parameter Estimate Std Err Lower Upper Z Pr>|Z| INTERCEPT -2.3317 1.2966 -4.8730 0.2095 -1.798 0.0721 LOGBASE 1.2290 0.1043 1.0245 1.4334 11.780 0.0000 LOGAGE 0.6049 0.3523 -0.0856 1.2954 1.7169 0.0860 TRT -0.0118 0.1544 -0.3145 0.2908 -.0767 0.9389 VISIT -0.0587 0.0341 -0.1255 0.0081 -1.723 0.0848 Scale 2.1647 . . . . . %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% AR(1) CORRELATION 7 The GENMOD Procedure Model Information Description Value Data Set WORK.SEIZURE Distribution POISSON Link Function LOG Dependent Variable SEIZE Observations Used 236 Class Level Information Class Levels Values SUBJECT 59 101 102 103 104 106 107 108 110 111 112 113 114 116 117 118 121 122 123 124 126 128 129 130 135 137 139 141 143 145 147 201 202 203 204 205 206 207 208 209 210 211 213 214 215 217 218 219 220 221 222 225 226 227 228 230 232 234 236 238 Parameter Information Parameter Effect PRM1 INTERCEPT PRM2 LOGBASE PRM3 LOGAGE PRM4 TRT PRM5 VISIT Criteria For Assessing Goodness Of Fit Criterion DF Value Value/DF Deviance 231 947.0187 4.0996 Scaled Deviance 231 947.0187 4.0996 Pearson Chi-Square 231 1104.0375 4.7794 Scaled Pearson X2 231 1104.0375 4.7794 Log Likelihood . 2955.2851 . Analysis Of Initial Parameter Estimates Parameter DF Estimate Std Err ChiSquare Pr>Chi INTERCEPT 1 -2.2631 0.4065 30.9913 0.0001 LOGBASE 1 1.2252 0.0325 1419.2140 0.0001 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% AR(1) CORRELATION 8 Analysis Of Initial Parameter Estimates Parameter DF Estimate Std Err ChiSquare Pr>Chi LOGAGE 1 0.5878 0.1099 28.5924 0.0001 TRT 1 -0.0176 0.0482 0.1333 0.7150 VISIT 1 -0.0587 0.0203 8.3811 0.0038 SCALE 0 1.0000 0.0000 . . NOTE: The scale parameter was held fixed. GEE Model Information Description Value Correlation Structure AR(1) Subject Effect SUBJECT (59 levels) Number of Clusters 59 Correlation Matrix Dimension 4 Maximum Cluster Size 4 Minimum Cluster Size 4 Covariance Matrix (Model-Based) Covariances are Above the Diagonal and Correlations are Below Parameter Number PRM1 PRM2 PRM3 PRM4 PRM5 PRM1 1.54560 -0.05876 -0.40838 -0.07200 -0.004564 PRM2 -0.47302 0.009984 0.01010 0.001879 -3.72E-18 PRM3 -0.97517 0.29995 0.11347 0.01707 -4.19E-17 PRM4 -0.39229 0.12741 0.34337 0.02179 -6.3E-18 PRM5 -0.08366 -8.49E-16 -2.83E-15 -9.72E-16 0.001926 Covariance Matrix (Empirical) Covariances are Above the Diagonal and Correlations are Below Parameter Number PRM1 PRM2 PRM3 PRM4 PRM5 PRM1 1.06873 -0.05372 -0.27566 -0.06024 0.001469 PRM2 -0.31887 0.02656 -0.001633 0.01593 -0.001893 PRM3 -0.92898 -0.03490 0.08239 0.004572 0.0002449 PRM4 -0.30707 0.51527 0.08395 0.03601 -0.002366 PRM5 0.04197 -0.34318 0.02520 -0.36829 0.001146 Working Correlation Matrix COL1 COL2 COL3 COL4 ROW1 1.0000 0.4863 0.2365 0.1150 ROW2 0.4863 1.0000 0.4863 0.2365 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% AR(1) CORRELATION 9 Working Correlation Matrix COL1 COL2 COL3 COL4 ROW3 0.2365 0.4863 1.0000 0.4863 ROW4 0.1150 0.2365 0.4863 1.0000 Analysis Of GEE Parameter Estimates Empirical Standard Error Estimates Empirical 95% Confidence Limits Parameter Estimate Std Err Lower Upper Z Pr>|Z| INTERCEPT -2.5249 1.0338 -4.5511 -0.4987 -2.442 0.0146 LOGBASE 1.2476 0.1630 0.9282 1.5670 7.6562 0.0000 LOGAGE 0.6529 0.2870 0.0904 1.2155 2.2748 0.0229 TRT -0.0216 0.1898 -0.3935 0.3503 -.1137 0.9094 VISIT -0.0637 0.0339 -0.1301 0.0026 -1.883 0.0597 Scale 2.1790 . . . . . NOTE: The scale parameter for GEE estimation was computed as the square root of the normalized Pearson's chi-square. Analysis Of GEE Parameter Estimates Model-Based Standard Error Estimates Model 95% Confidence Limits Parameter Estimate Std Err Lower Upper Z Pr>|Z| INTERCEPT -2.5249 1.2432 -4.9616 -0.0883 -2.031 0.0423 LOGBASE 1.2476 0.0999 1.0518 1.4435 12.487 0.0000 LOGAGE 0.6529 0.3369 -0.0073 1.3132 1.9384 0.0526 TRT -0.0216 0.1476 -0.3109 0.2678 -.1462 0.8838 VISIT -0.0637 0.0439 -0.1498 0.0223 -1.453 0.1463 Scale 2.1790 . . . . . %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% MODIFIED MODEL WITH UNSTRUCTURED CORRELATION 10 The GENMOD Procedure Model Information Description Value Data Set WORK.SEIZURE Distribution POISSON Link Function LOG Dependent Variable SEIZE Observations Used 236 Class Level Information Class Levels Values SUBJECT 59 101 102 103 104 106 107 108 110 111 112 113 114 116 117 118 121 122 123 124 126 128 129 130 135 137 139 141 143 145 147 201 202 203 204 205 206 207 208 209 210 211 213 214 215 217 218 219 220 221 222 225 226 227 228 230 232 234 236 238 Parameter Information Parameter Effect PRM1 INTERCEPT PRM2 LOGBASE PRM3 LOGAGE PRM4 TRT PRM5 VISIT4 PRM6 BASETRT Criteria For Assessing Goodness Of Fit Criterion DF Value Value/DF Deviance 230 869.3236 3.7797 Scaled Deviance 230 869.3236 3.7797 Pearson Chi-Square 230 1014.7107 4.4118 Scaled Pearson X2 230 1014.7107 4.4118 Log Likelihood . 2994.1327 . Analysis Of Initial Parameter Estimates Parameter DF Estimate Std Err ChiSquare Pr>Chi INTERCEPT 1 -2.7576 0.4075 45.8011 0.0001 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% MODIFIED MODEL WITH UNSTRUCTURED CORRELATION 11 Analysis Of Initial Parameter Estimates Parameter DF Estimate Std Err ChiSquare Pr>Chi LOGBASE 1 0.9495 0.0436 475.1095 0.0001 LOGAGE 1 0.8970 0.1164 59.3486 0.0001 TRT 1 -1.3411 0.1567 73.2122 0.0001 VISIT4 1 -0.1611 0.0546 8.7121 0.0032 BASETRT 1 0.5622 0.0635 78.4027 0.0001 SCALE 0 1.0000 0.0000 . . NOTE: The scale parameter was held fixed. GEE Model Information Description Value Correlation Structure Unstructured Subject Effect SUBJECT (59 levels) Number of Clusters 59 Correlation Matrix Dimension 4 Maximum Cluster Size 4 Minimum Cluster Size 4 Covariance Matrix (Model-Based) Covariances are Above the Diagonal and Correlations are Below Parameter Number PRM1 PRM2 PRM3 PRM4 PRM5 PRM6 PRM1 1.44450 -0.03587 -0.39861 0.01495 -0.002244 -0.03205 PRM2 -0.23417 0.01625 -0.000487 0.03766 -9.53E-19 -0.01633 PRM3 -0.96614 -0.01113 0.11784 -0.03268 -3.08E-17 0.02057 PRM4 0.02695 0.63989 -0.20620 0.21314 1.157E-17 -0.08187 PRM5 -0.01991 -7.97E-17 -9.57E-16 2.673E-16 0.008795 -6.64E-18 PRM6 -0.14290 -0.68666 0.32110 -0.95043 -3.79E-16 0.03481 Covariance Matrix (Empirical) Covariances are Above the Diagonal and Correlations are Below Parameter Number PRM1 PRM2 PRM3 PRM4 PRM5 PRM6 PRM1 0.89290 -0.01484 -0.25102 0.01017 0.002361 -0.01913 PRM2 -0.16910 0.008629 -0.001282 0.01962 -0.00039 -0.008837 PRM3 -0.97049 -0.05041 0.07492 -0.01827 -0.001974 0.01148 PRM4 0.02548 0.50004 -0.15806 0.17834 0.003528 -0.06770 PRM5 0.03190 -0.05366 -0.09208 0.10666 0.006133 -0.000442 PRM6 -0.11919 -0.56009 0.24703 -0.94384 -0.03325 0.02885 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% MODIFIED MODEL WITH UNSTRUCTURED CORRELATION 12 Working Correlation Matrix COL1 COL2 COL3 COL4 ROW1 1.0000 0.2846 0.2608 0.1564 ROW2 0.2846 1.0000 0.6520 0.3480 ROW3 0.2608 0.6520 1.0000 0.4618 ROW4 0.1564 0.3480 0.4618 1.0000 Analysis Of GEE Parameter Estimates Empirical Standard Error Estimates Empirical 95% Confidence Limits Parameter Estimate Std Err Lower Upper Z Pr>|Z| INTERCEPT -3.0705 0.9449 -4.9225 -1.2184 -3.249 0.0012 LOGBASE 0.9371 0.0929 0.7550 1.1192 10.088 0.0000 LOGAGE 1.0009 0.2737 0.4644 1.5374 3.6567 0.0003 TRT -1.4974 0.4223 -2.3251 -0.6697 -3.546 0.0004 VISIT4 -0.1560 0.0783 -0.3095 -0.0025 -1.992 0.0464 BASETRT 0.6281 0.1699 0.2952 0.9610 3.6977 0.0002 Scale 2.0836 . . . . . NOTE: The scale parameter for GEE estimation was computed as the square root of the normalized Pearson's chi-square. Analysis Of GEE Parameter Estimates Model-Based Standard Error Estimates Model 95% Confidence Limits Parameter Estimate Std Err Lower Upper Z Pr>|Z| INTERCEPT -3.0705 1.2019 -5.4261 -0.7148 -2.555 0.0106 LOGBASE 0.9371 0.1275 0.6873 1.1869 7.3518 0.0000 LOGAGE 1.0009 0.3433 0.3281 1.6737 2.9158 0.0035 TRT -1.4974 0.4617 -2.4023 -0.5925 -3.243 0.0012 VISIT4 -0.1560 0.0938 -0.3398 0.0278 -1.663 0.0963 BASETRT 0.6281 0.1866 0.2624 0.9937 3.3662 0.0008 Scale 2.0836 . . . . .