CHM statstic for linear association 01:27 Tuesday, April 4, 2006 1 The FREQ Procedure Table of CHD by serum CHD serum Frequency| Percent | Row Pct | Col Pct |0-199 |200-199 |220-259 |260+ | Total ---------+--------+--------+--------+--------+ chd | 12 | 8 | 31 | 41 | 92 | 0.90 | 0.60 | 2.33 | 3.09 | 6.92 | 13.04 | 8.70 | 33.70 | 44.57 | | 3.76 | 3.15 | 6.60 | 14.34 | ---------+--------+--------+--------+--------+ nochd | 307 | 246 | 439 | 245 | 1237 | 23.10 | 18.51 | 33.03 | 18.43 | 93.08 | 24.82 | 19.89 | 35.49 | 19.81 | | 96.24 | 96.85 | 93.40 | 85.66 | ---------+--------+--------+--------+--------+ Total 319 254 470 286 1329 24.00 19.11 35.36 21.52 100.00 Summary Statistics for CHD by serum Cochran-Mantel-Haenszel Statistics (Based on Ridit Scores) Statistic Alternative Hypothesis DF Value Prob --------------------------------------------------------------- 1 Nonzero Correlation 1 27.8381 <.0001 Total Sample Size = 1329 Indepedence Model 01:27 Tuesday, April 4, 2006 2 The GENMOD Procedure Model Information Data Set WORK.CHD Distribution Poisson Link Function Log Dependent Variable count Observations Used 8 Class Level Information Class Levels Values CHD 2 chd nochd serum 4 0-199 200-199 220-259 260+ Criteria For Assessing Goodness Of Fit Criterion DF Value Value/DF Deviance 3 31.9212 10.6404 Scaled Deviance 3 31.9212 10.6404 Pearson Chi-Square 3 35.0285 11.6762 Scaled Pearson X2 3 35.0285 11.6762 Log Likelihood 6091.5612 Algorithm converged. Analysis Of Parameter Estimates Likelihood Ratio Standard 95% Confidence Chi- Parameter DF Estimate Error Limits Square Intercept 1 5.5843 0.0596 5.4652 5.6989 8778.10 CHD chd 1 -2.5987 0.1081 -2.8172 -2.3931 578.27 CHD nochd 0 0.0000 0.0000 0.0000 0.0000 . serum 0-199 1 0.1092 0.0814 -0.0503 0.2691 1.80 serum 200-199 1 -0.1187 0.0862 -0.2880 0.0501 1.89 Analysis Of Parameter Estimates Parameter Pr > ChiSq Intercept <.0001 CHD chd <.0001 CHD nochd . serum 0-199 0.1799 serum 200-199 0.1687 Indepedence Model 01:27 Tuesday, April 4, 2006 3 The GENMOD Procedure Analysis Of Parameter Estimates Likelihood Ratio Standard 95% Confidence Chi- Parameter DF Estimate Error Limits Square serum 220-259 1 0.4967 0.0750 0.3506 0.6447 43.87 serum 260+ 0 0.0000 0.0000 0.0000 0.0000 . Scale 0 1.0000 0.0000 1.0000 1.0000 Analysis Of Parameter Estimates Parameter Pr > ChiSq serum 220-259 <.0001 serum 260+ . Scale NOTE: The scale parameter was held fixed. LR Statistics For Type 3 Analysis Chi- Source DF Square Pr > ChiSq CHD 1 1173.55 <.0001 serum 3 77.90 <.0001 Observation Statistics Observation count CHD serum Pred Xbeta Std HessWgt Lower Upper Resraw Reschi Resdev StResdev StReschi Reslik 1 12 chd 0-199 22.082769 3.0947976 0.115117 22.082769 17.62243 27.672046 -10.08277 -2.145621 -2.351203 -2.795565 -2.551129 -2.726303 2 8 chd 200-199 17.583145 2.8669408 0.1185501 17.583145 13.937553 22.182301 -9.583145 -2.285387 -2.56248 -2.953224 -2.633878 -2.877607 3 31 chd 220-259 32.535741 3.4823392 0.1106561 32.535741 26.192083 40.415818 -1.535741 -0.269239 -0.2714 -0.349907 -0.347121 -0.3488 4 41 chd 260+ 19.798345 2.9855983 0.1166774 19.798345 15.751172 24.885415 21.201655 4.7649169 4.158189 4.8652168 5.5751083 5.0663532 5 307 nochd 0-199 296.91723 5.6934534 0.0564868 296.91723 265.79925 331.67829 10.082769 0.5851431 0.5818774 2.5368914 2.5511295 2.5503824 Indepedence Model 01:27 Tuesday, April 4, 2006 4 The GENMOD Procedure Observation Statistics Observation count CHD serum Pred Xbeta Std HessWgt Lower Upper Resraw Reschi Resdev StResdev StReschi Reslik 6 246 nochd 200-199 236.41685 5.4655966 0.06319 236.41685 208.87721 267.5875 9.5831452 0.6232594 0.6191184 2.6163781 2.6338782 2.6329014 7 439 nochd 220-259 437.46426 6.080995 0.0467292 437.46426 399.17798 479.42268 1.5357412 0.0734255 0.0733826 0.3469185 0.3471213 0.3471122 8 245 nochd 260+ 266.20166 5.5842541 0.0596026 266.20166 236.85195 299.18826 -21.20166 -1.299464 -1.317313 -5.651683 -5.575108 -5.579295 Linear by Linear Association Model 01:27 Tuesday, April 4, 2006 5 The GENMOD Procedure Model Information Data Set WORK.CHD Distribution Poisson Link Function Log Dependent Variable count Observations Used 8 Class Level Information Class Levels Values CHD 2 chd nochd serum 4 0-199 200-199 220-259 260+ Criteria For Assessing Goodness Of Fit Criterion DF Value Value/DF Deviance 2 4.0890 2.0445 Scaled Deviance 2 4.0890 2.0445 Pearson Chi-Square 2 4.1959 2.0980 Scaled Pearson X2 2 4.1959 2.0980 Log Likelihood 6105.4773 Algorithm converged. Analysis Of Parameter Estimates Likelihood Ratio Standard 95% Confidence Chi- Parameter DF Estimate Error Limits Square Intercept 1 10.1110 0.9167 8.3630 11.9656 121.65 CHD chd 1 -4.2143 0.3719 -4.9830 -3.5217 128.42 CHD nochd 0 0.0000 0.0000 0.0000 0.0000 . serum 0-199 1 -3.2237 0.6814 -4.6039 -1.9261 22.38 serum 200-199 1 -2.3232 0.4533 -3.2396 -1.4579 26.27 Analysis Of Parameter Estimates Parameter Pr > ChiSq Intercept <.0001 CHD chd <.0001 CHD nochd . serum 0-199 <.0001 serum 200-199 <.0001 Linear by Linear Association Model 01:27 Tuesday, April 4, 2006 6 The GENMOD Procedure Analysis Of Parameter Estimates Likelihood Ratio Standard 95% Confidence Chi- Parameter DF Estimate Error Limits Square serum 220-259 1 -0.5937 0.2303 -1.0563 -0.1513 6.65 serum 260+ 0 0.0000 0.0000 0.0000 0.0000 . xCHD*yserum 1 -0.5740 0.1161 -0.8089 -0.3527 24.45 Scale 0 1.0000 0.0000 1.0000 1.0000 Analysis Of Parameter Estimates Parameter Pr > ChiSq serum 220-259 0.0099 serum 260+ . xCHD*yserum <.0001 Scale NOTE: The scale parameter was held fixed. LR Statistics For Type 3 Analysis Chi- Source DF Square Pr > ChiSq CHD 1 243.93 <.0001 serum 3 105.13 <.0001 xCHD*yserum 1 27.83 <.0001 Observation Statistics Observation count xCHD yserum CHD serum Pred Xbeta Std HessWgt Lower Upper Resraw Reschi Resdev StResdev StReschi Reslik 1 12 1 1 chd 0-199 8.1580998 2.0990113 0.2624486 8.1580998 4.8774452 13.64538 3.8419002 1.3450907 1.2560608 1.8977359 2.032248 1.9744497 2 8 1 2 chd 200-199 11.308199 2.425528 0.1694369 11.308199 8.1127572 15.762257 -3.308199 -0.983773 -1.038756 -1.264002 -1.197096 -1.242676 3 31 1 3 chd 220-259 35.909358 3.5809979 0.1111088 35.909358 28.882293 44.646109 -4.909358 -0.819258 -0.839078 -1.12459 -1.098027 -1.112893 Linear by Linear Association Model 01:27 Tuesday, April 4, 2006 7 The GENMOD Procedure Observation Statistics Observation count xCHD yserum CHD serum Pred Xbeta Std HessWgt Lower Upper Resraw Reschi Resdev StResdev StReschi Reslik 4 41 1 4 chd 260+ 36.624367 3.6007138 0.146867 36.624367 27.463552 48.840886 4.3756334 0.7230292 0.7093048 1.5477726 1.5777207 1.5714785 5 307 2 1 nochd 0-199 310.84191 5.7392845 0.0563922 310.84191 278.31617 347.16882 -3.841913 -0.21791 -0.218361 -2.036463 -2.032255 -2.032303 6 246 2 2 nochd 200-199 242.69181 5.4917924 0.0631727 242.69181 214.42846 274.68049 3.3081921 0.2123553 0.2118756 1.1943894 1.1970937 1.1970087 7 439 2 3 nochd 220-259 434.09065 6.0732534 0.0468783 434.09065 395.98388 475.86454 4.9093545 0.235632 0.2351899 1.0959661 1.0980261 1.0979313 8 245 2 4 nochd 260+ 249.37563 5.5189603 0.0623404 249.37563 220.6936 281.78528 -4.375634 -0.277086 -0.277902 -1.582369 -1.577721 -1.577864