****************************** Poisson Regression ****************************** ** Regression Results ** Valid Number of Cases: 22, 0 Omitted Dependent Variable: Number of cancers Exposure: Subject-years | Coefficient Standard Error Wald Statistic Significance -------------------+------------------------------------------------------------ Constant| -9.3284 0.2086 1999.7803 0.0000 Status = Non-veteran| 0.0035 0.0555 0.0040 0.9493 Age group = 25-29| 0.6793 0.2325 8.5373 0.0035 30-34| 1.3711 0.2177 39.6626 0.0000 35-39| 1.9396 0.2121 83.6581 0.0000 40-44| 2.0343 0.2161 88.6203 0.0000 45-49| 2.7266 0.2222 150.5415 0.0000 50-54| 3.2029 0.2206 210.7122 0.0000 55-59| 3.7162 0.2178 291.1925 0.0000 60-64| 4.0927 0.2177 353.4848 0.0000 65-69| 4.2362 0.2242 356.9375 0.0000 70-| 4.3637 0.2274 368.3264 0.0000 | Lower 95% Upper 95% -------------------+------------------------------ Constant| -9.7372 -8.9195 Status = Non-veteran| -0.1052 0.1123 Age group = 25-29| 0.2236 1.1350 30-34| 0.9444 1.7978 35-39| 1.5240 2.3553 40-44| 1.6108 2.4579 45-49| 2.2910 3.1621 50-54| 2.7704 3.6353 55-59| 3.2894 4.1430 60-64| 3.6660 4.5193 65-69| 3.7967 4.6757 70-| 3.9181 4.8094 -2 Log likelihood: Initial Model = 2199.7137 Final Model = 132.0133 Likelihood Ratio Statistic: Chi-Square Statistic = 2067.7004 Degrees of Freedom = 11 Right-Tail Probability = 0.0000 Goodness of Fit: Chi-Square Statistic = 5.2166 Degrees of Freedom = 9 Right-Tail Probability = 0.8150 ** Incidence Rate Ratio ** | Incidence | Rate Ratio Standard Error Lower 95% Upper 95% -------------------+------------------------------------------------------------ Status = Non-veteran| 1.0035 0.0557 0.9001 1.1188 Age group = 25-29| 1.9725 0.4586 1.2506 3.1111 30-34| 3.9396 0.8577 2.5712 6.0363 35-39| 6.9561 1.4751 4.5905 10.5408 40-44| 7.6471 1.6525 5.0067 11.6799 45-49| 15.2801 3.3956 9.8849 23.6201 50-54| 24.6031 5.4286 15.9653 37.9144 55-59| 41.1074 8.9521 26.8256 62.9926 60-64| 59.9000 13.0391 39.0963 91.7736 65-69| 69.1453 15.5040 44.5557 107.3055 70-| 78.5486 17.8599 50.3034 122.6533 ** Correlation Matrix of Regression Coefficients ** | Status Age | Constant = Non-veteran group = 25-29 30-34 -------------------+------------------------------------------------------------ Constant| 1.0000 -0.2060 -0.8648 -0.9241 Status = Non-veteran| -0.2060 1.0000 0.0274 0.0319 Age group = 25-29| -0.8648 0.0274 1.0000 0.8241 30-34| -0.9241 0.0319 0.8241 1.0000 35-39| -0.9499 0.0387 0.8462 0.9037 40-44| -0.9362 0.0575 0.8309 0.8875 45-49| -0.9098 0.0532 0.8079 0.8629 50-54| -0.9133 0.0388 0.8133 0.8686 55-59| -0.9205 0.0159 0.8234 0.8793 60-64| -0.9156 -0.0096 0.8230 0.8789 65-69| -0.8836 -0.0353 0.7983 0.8524 70-| -0.8681 -0.0504 0.7868 0.8401 | 35-39 40-44 45-49 50-54 -------------------+------------------------------------------------------------ Constant| -0.9499 -0.9362 -0.9098 -0.9133 Status = Non-veteran| 0.0387 0.0575 0.0532 0.0388 Age group = 25-29| 0.8462 0.8309 0.8079 0.8133 30-34| 0.9037 0.8875 0.8629 0.8686 35-39| 1.0000 0.9115 0.8862 0.8920 40-44| 0.9115 1.0000 0.8707 0.8761 45-49| 0.8862 0.8707 1.0000 0.8518 50-54| 0.8920 0.8761 0.8518 1.0000 55-59| 0.9028 0.8863 0.8618 0.8678 60-64| 0.9022 0.8852 0.8608 0.8671 65-69| 0.8749 0.8579 0.8343 0.8408 70-| 0.8622 0.8451 0.8220 0.8286 | 55-59 60-64 65-69 70- -------------------+------------------------------------------------------------ Constant| -0.9205 -0.9156 -0.8836 -0.8681 Status = Non-veteran| 0.0159 -0.0096 -0.0353 -0.0504 Age group = 25-29| 0.8234 0.8230 0.7983 0.7868 30-34| 0.8793 0.8789 0.8524 0.8401 35-39| 0.9028 0.9022 0.8749 0.8622 40-44| 0.8863 0.8852 0.8579 0.8451 45-49| 0.8618 0.8608 0.8343 0.8220 50-54| 0.8678 0.8671 0.8408 0.8286 55-59| 1.0000 0.8788 0.8527 0.8407 60-64| 0.8788 1.0000 0.8540 0.8423 65-69| 0.8527 0.8540 1.0000 0.8190 70-| 0.8407 0.8423 0.8190 1.0000 ** Covariance Matrix of Regression Coefficients ** | Status Age | Constant = Non-veteran group = 25-29 30-34 -------------------+------------------------------------------------------------ Constant| 0.0435 -0.0024 -0.0419 -0.0420 Status = Non-veteran| -0.0024 0.0031 0.0004 0.0004 Age group = 25-29| -0.0419 0.0004 0.0541 0.0417 30-34| -0.0420 0.0004 0.0417 0.0474 35-39| -0.0420 0.0005 0.0417 0.0417 40-44| -0.0422 0.0007 0.0417 0.0418 45-49| -0.0422 0.0007 0.0417 0.0417 50-54| -0.0420 0.0005 0.0417 0.0417 55-59| -0.0418 0.0002 0.0417 0.0417 60-64| -0.0416 -0.0001 0.0417 0.0417 65-69| -0.0413 -0.0004 0.0416 0.0416 70-| -0.0412 -0.0006 0.0416 0.0416 | 35-39 40-44 45-49 50-54 -------------------+------------------------------------------------------------ Constant| -0.0420 -0.0422 -0.0422 -0.0420 Status = Non-veteran| 0.0005 0.0007 0.0007 0.0005 Age group = 25-29| 0.0417 0.0417 0.0417 0.0417 30-34| 0.0417 0.0418 0.0417 0.0417 35-39| 0.0450 0.0418 0.0418 0.0417 40-44| 0.0418 0.0467 0.0418 0.0418 45-49| 0.0418 0.0418 0.0494 0.0418 50-54| 0.0417 0.0418 0.0418 0.0487 55-59| 0.0417 0.0417 0.0417 0.0417 60-64| 0.0416 0.0416 0.0416 0.0416 65-69| 0.0416 0.0416 0.0416 0.0416 70-| 0.0416 0.0415 0.0415 0.0416 | 55-59 60-64 65-69 70- -------------------+------------------------------------------------------------ Constant| -0.0418 -0.0416 -0.0413 -0.0412 Status = Non-veteran| 0.0002 -0.0001 -0.0004 -0.0006 Age group = 25-29| 0.0417 0.0417 0.0416 0.0416 30-34| 0.0417 0.0417 0.0416 0.0416 35-39| 0.0417 0.0416 0.0416 0.0416 40-44| 0.0417 0.0416 0.0416 0.0415 45-49| 0.0417 0.0416 0.0416 0.0415 50-54| 0.0417 0.0416 0.0416 0.0416 55-59| 0.0474 0.0417 0.0416 0.0416 60-64| 0.0417 0.0474 0.0417 0.0417 65-69| 0.0416 0.0417 0.0503 0.0418 70-| 0.0416 0.0417 0.0418 0.0517 ** Actual and Fitted Values ** Row| Actual * Fitted + 1.9057 193.7020 ---------+---------------------------------------------------------------------- 1| 6.0000 5.4067 * 2| 21.0000 27.5518 *+ 3| 54.0000 61.6656 * + 4| 118.0000 115.2981 +* 5| 97.0000 92.0660 +* 6| 58.0000 57.8741 * 7| 56.0000 54.6629 +* 8| 54.0000 50.0844 +* 9| 34.0000 32.8068 * 10| 9.0000 9.6781 * 11| 2.0000 1.9057 * 12| 18.0000 18.5933 * 13| 60.0000 53.4481 + * 14| 122.0000 114.3345 + * 15| 191.0000 193.7020 *+ 16| 108.0000 112.9340 *+ 17| 74.0000 74.1259 * 18| 88.0000 89.3372 * 19| 120.0000 123.9157 *+ 20| 141.0000 142.1933 * 21| 108.0000 107.3219 +* 22| 99.0000 99.0944 * ** Residuals ** Row| Residuals -7.6656 7.6656 ---------+---------------------------------------------------------------------- 1| 0.5933 * 2| -6.5518 * 3| -7.6656 * 4| 2.7019 * 5| 4.9340 * 6| 0.1259 * 7| 1.3371 * 8| 3.9156 * 9| 1.1932 * 10| -0.6781 * 11| 0.0943 * 12| -0.5933 * 13| 6.5519 * 14| 7.6655 * 15| -2.7020 * 16| -4.9340 * 17| -0.1259 * 18| -1.3372 * 19| -3.9157 * 20| -1.1933 * 21| 0.6781 * 22| -0.0944 * ** Case (Diagnostic) Statistics ** | Standard | Error Row| Fitted Values of Fitted Lower 95% Upper 95% -------------------+-------------------------------------------------------- 1| 5.4067 0.2086 4.9979 5.8156 2| 27.5518 0.1170 27.3225 27.7811 3| 61.6656 0.0836 61.5018 61.8293 4| 115.2981 0.0667 115.1674 115.4288 5| 92.0660 0.0762 91.9166 92.2154 6| 57.8741 0.0924 57.6929 58.0553 7| 54.6629 0.0902 54.4862 54.8396 8| 50.0844 0.0855 49.9168 50.2519 9| 32.8068 0.0880 32.6343 32.9793 10| 9.6781 0.1055 9.4712 9.8849 11| 1.9057 0.1134 1.6834 2.1280 12| 18.5933 0.2045 18.1925 18.9941 13| 53.4481 0.1127 53.2272 53.6690 14| 114.3345 0.0778 114.1819 114.4871 15| 193.7020 0.0605 193.5833 193.8206 16| 112.9340 0.0742 112.7887 113.0793 17| 74.1259 0.0904 73.9488 74.3030 18| 89.3372 0.0860 89.1687 89.5056 19| 123.9157 0.0775 123.7638 124.0675 20| 142.1933 0.0763 142.0437 142.3428 21| 107.3219 0.0926 107.1405 107.5034 22| 99.0944 0.0995 98.8993 99.2894 | Standardised Row| Deviance Residuals Residuals -------------------+------------------------------------------ 1| 0.0628 0.5933 0.2551 2| 1.6987 -6.5518 -1.2482 3| 0.9950 -7.6656 -0.9762 4| 0.0628 2.7019 0.2516 5| 0.2598 4.9340 0.5142 6| 0.0003 0.1259 0.0165 7| 0.0324 1.3371 0.1809 8| 0.2984 3.9156 0.5533 9| 0.0429 1.1932 0.2083 10| 0.0487 -0.6781 -0.2180 11| 0.0046 0.0943 0.0683 12| 0.0191 -0.5933 -0.1376 13| 0.7722 6.5519 0.8962 14| 0.5028 7.6655 0.7169 15| 0.0379 -2.7020 -0.1941 16| 0.2188 -4.9340 -0.4643 17| 0.0002 -0.1259 -0.0146 18| 0.0201 -1.3372 -0.1415 19| 0.1251 -3.9157 -0.3518 20| 0.0100 -1.1933 -0.1001 21| 0.0043 0.6781 0.0655 22| 0.0001 -0.0944 -0.0095