Survival of two sexes with angina pectoris - YOUR NAME 1 Males and females diagnosed with angina pectoris (Lee+Wang p92,p104) The data as SAS sees it: 04:42 Tuesday, September 27, 2005 Obs year mdeaths mcens fdeaths fcens sex num status 1 0.5 456 0 82 0 Male 456 0 2 0.5 456 0 82 0 Male 0 1 3 0.5 456 0 82 0 Female 82 0 4 0.5 456 0 82 0 Female 0 1 5 1.5 226 39 30 8 Male 226 0 6 1.5 226 39 30 8 Male 39 1 7 1.5 226 39 30 8 Female 30 0 8 1.5 226 39 30 8 Female 8 1 9 2.5 152 22 27 8 Male 152 0 10 2.5 152 22 27 8 Male 22 1 11 2.5 152 22 27 8 Female 27 0 12 2.5 152 22 27 8 Female 8 1 13 3.5 171 23 22 7 Male 171 0 14 3.5 171 23 22 7 Male 23 1 15 3.5 171 23 22 7 Female 22 0 16 3.5 171 23 22 7 Female 7 1 17 4.5 135 24 26 7 Male 135 0 18 4.5 135 24 26 7 Male 24 1 19 4.5 135 24 26 7 Female 26 0 20 4.5 135 24 26 7 Female 7 1 21 5.5 125 107 25 28 Male 125 0 22 5.5 125 107 25 28 Male 107 1 23 5.5 125 107 25 28 Female 25 0 24 5.5 125 107 25 28 Female 28 1 25 6.5 83 133 20 31 Male 83 0 26 6.5 83 133 20 31 Male 133 1 27 6.5 83 133 20 31 Female 20 0 28 6.5 83 133 20 31 Female 31 1 29 7.5 74 102 11 32 Male 74 0 30 7.5 74 102 11 32 Male 102 1 31 7.5 74 102 11 32 Female 11 0 32 7.5 74 102 11 32 Female 32 1 33 8.5 51 68 14 24 Male 51 0 34 8.5 51 68 14 24 Male 68 1 35 8.5 51 68 14 24 Female 14 0 36 8.5 51 68 14 24 Female 24 1 37 9.5 42 64 13 27 Male 42 0 38 9.5 42 64 13 27 Male 64 1 39 9.5 42 64 13 27 Female 13 0 40 9.5 42 64 13 27 Female 27 1 41 10.5 43 45 5 22 Male 43 0 42 10.5 43 45 5 22 Male 45 1 43 10.5 43 45 5 22 Female 5 0 44 10.5 43 45 5 22 Female 22 1 45 11.5 34 53 5 23 Male 34 0 46 11.5 34 53 5 23 Male 53 1 47 11.5 34 53 5 23 Female 5 0 48 11.5 34 53 5 23 Female 23 1 49 12.5 18 33 5 18 Male 18 0 50 12.5 18 33 5 18 Male 33 1 51 12.5 18 33 5 18 Female 5 0 52 12.5 18 33 5 18 Female 18 1 53 13.5 9 27 2 9 Male 9 0 54 13.5 9 27 2 9 Male 27 1 Survival of two sexes with angina pectoris - YOUR NAME 2 Males and females diagnosed with angina pectoris (Lee+Wang p92,p104) The data as SAS sees it: 04:42 Tuesday, September 27, 2005 Obs year mdeaths mcens fdeaths fcens sex num status 55 13.5 9 27 2 9 Female 2 0 56 13.5 9 27 2 9 Female 9 1 57 14.5 6 23 3 7 Male 6 0 58 14.5 6 23 3 7 Male 23 1 59 14.5 6 23 3 7 Female 3 0 60 14.5 6 23 3 7 Female 7 1 61 15.5 0 0 3 11 Male 0 0 62 15.5 0 0 3 11 Male 0 1 63 15.5 0 0 3 11 Female 3 0 64 15.5 0 0 3 11 Female 11 1 65 16.5 0 30 0 0 Male 0 0 66 16.5 0 30 0 0 Male 30 1 67 16.5 0 30 0 0 Female 0 0 68 16.5 0 30 0 0 Female 0 1 Survival of two sexes with angina pectoris - YOUR NAME 3 Males and females diagnosed with angina pectoris (Lee+Wang p92,p104) Actuarial tables and graphs 04:42 Tuesday, September 27, 2005 The LIFETEST Procedure Stratum 1: sex = Female Life Table Survival Estimates Conditional Effective Conditional Probability Interval Number Number Sample Probability Standard [Lower, Upper) Failed Censored Size of Failure Error 0 1 82 0 555.0 0.1477 0.0151 1 2 30 8 469.0 0.0640 0.0113 2 3 27 8 431.0 0.0626 0.0117 3 4 22 7 396.5 0.0555 0.0115 4 5 26 7 367.5 0.0707 0.0134 5 6 25 28 324.0 0.0772 0.0148 6 7 20 31 269.5 0.0742 0.0160 7 8 11 32 218.0 0.0505 0.0148 8 9 14 24 179.0 0.0782 0.0201 9 10 13 27 139.5 0.0932 0.0246 10 11 5 22 102.0 0.0490 0.0214 11 12 5 23 74.5 0.0671 0.0290 12 13 5 18 49.0 0.1020 0.0432 13 14 2 9 30.5 0.0656 0.0448 14 15 3 7 20.5 0.1463 0.0781 15 . 3 11 8.5 0.3529 0.1639 Survival Median Median Interval Standard Residual Standard [Lower, Upper) Survival Failure Error Lifetime Error 0 1 1.0000 0 0 8.7786 0.5097 1 2 0.8523 0.1477 0.0151 9.8673 0.9019 2 3 0.7977 0.2023 0.0171 9.8577 0.6764 3 4 0.7478 0.2522 0.0185 9.5199 0.4661 4 5 0.7063 0.2937 0.0195 9.0602 0.7924 5 6 0.6563 0.3437 0.0204 9.0647 0.3760 6 7 0.6057 0.3943 0.0212 8.5870 0.3805 7 8 0.5607 0.4393 0.0219 . . 8 9 0.5324 0.4676 0.0224 . . 9 10 0.4908 0.5092 0.0232 . . 10 11 0.4450 0.5550 0.0243 . . 11 12 0.4232 0.5768 0.0250 . . 12 13 0.3948 0.6052 0.0263 . . 13 14 0.3545 0.6455 0.0292 . . 14 15 0.3313 0.6687 0.0315 . . 15 . 0.2828 0.7172 0.0373 . . Survival of two sexes with angina pectoris - YOUR NAME 4 Males and females diagnosed with angina pectoris (Lee+Wang p92,p104) Actuarial tables and graphs 04:42 Tuesday, September 27, 2005 The LIFETEST Procedure Evaluated at the Midpoint of the Interval PDF Hazard Interval Standard Standard [Lower, Upper) PDF Error Hazard Error 0 1 0.1477 0.0151 0.159533 0.017561 1 2 0.0545 0.00968 0.066079 0.012058 2 3 0.0500 0.00937 0.064671 0.012439 3 4 0.0415 0.00866 0.057069 0.012162 4 5 0.0500 0.00955 0.073343 0.014374 5 6 0.0506 0.00986 0.080257 0.016038 6 7 0.0449 0.00980 0.077071 0.017221 7 8 0.0283 0.00839 0.051765 0.015602 8 9 0.0416 0.0108 0.081395 0.021736 9 10 0.0457 0.0123 0.097744 0.027077 10 11 0.0218 0.00959 0.050251 0.022466 11 12 0.0284 0.0124 0.069444 0.031038 12 13 0.0403 0.0173 0.107527 0.048018 13 14 0.0232 0.0160 0.067797 0.047912 14 15 0.0485 0.0263 0.157895 0.090876 15 . . . . . Survival of two sexes with angina pectoris - YOUR NAME 5 Males and females diagnosed with angina pectoris (Lee+Wang p92,p104) Actuarial tables and graphs 04:42 Tuesday, September 27, 2005 The LIFETEST Procedure Stratum 2: sex = Male Life Table Survival Estimates Conditional Effective Conditional Probability Interval Number Number Sample Probability Standard [Lower, Upper) Failed Censored Size of Failure Error 0 1 456 0 2418.0 0.1886 0.00796 1 2 226 39 1942.5 0.1163 0.00728 2 3 152 22 1686.0 0.0902 0.00698 3 4 171 23 1511.5 0.1131 0.00815 4 5 135 24 1317.0 0.1025 0.00836 5 6 125 107 1116.5 0.1120 0.00944 6 7 83 133 871.5 0.0952 0.00994 7 8 74 102 671.0 0.1103 0.0121 8 9 51 68 512.0 0.0996 0.0132 9 10 42 64 395.0 0.1063 0.0155 10 11 43 45 298.5 0.1441 0.0203 11 12 34 53 206.5 0.1646 0.0258 12 13 18 33 129.5 0.1390 0.0304 13 14 9 27 81.5 0.1104 0.0347 14 15 6 23 47.5 0.1263 0.0482 15 . 0 30 15.0 0 0 Survival Median Median Interval Standard Residual Standard [Lower, Upper) Survival Failure Error Lifetime Error 0 1 1.0000 0 0 5.3313 0.1749 1 2 0.8114 0.1886 0.00796 6.2499 0.2001 2 3 0.7170 0.2830 0.00918 6.3432 0.2361 3 4 0.6524 0.3476 0.00973 6.2262 0.2361 4 5 0.5786 0.4214 0.0101 6.2185 0.1853 5 6 0.5193 0.4807 0.0103 5.9077 0.1806 6 7 0.4611 0.5389 0.0104 5.5962 0.1855 7 8 0.4172 0.5828 0.0105 5.1671 0.2713 8 9 0.3712 0.6288 0.0106 4.9421 0.2763 9 10 0.3342 0.6658 0.0107 4.8258 0.4141 10 11 0.2987 0.7013 0.0109 4.6888 0.4183 11 12 0.2557 0.7443 0.0111 . . 12 13 0.2136 0.7864 0.0114 . . 13 14 0.1839 0.8161 0.0118 . . 14 15 0.1636 0.8364 0.0123 . . 15 . 0.1429 0.8571 0.0133 . . Survival of two sexes with angina pectoris - YOUR NAME 6 Males and females diagnosed with angina pectoris (Lee+Wang p92,p104) Actuarial tables and graphs 04:42 Tuesday, September 27, 2005 The LIFETEST Procedure Evaluated at the Midpoint of the Interval PDF Hazard Interval Standard Standard [Lower, Upper) PDF Error Hazard Error 0 1 0.1886 0.00796 0.208219 0.009698 1 2 0.0944 0.00598 0.123531 0.008201 2 3 0.0646 0.00507 0.09441 0.007649 3 4 0.0738 0.00543 0.119916 0.009154 4 5 0.0593 0.00495 0.108043 0.009285 5 6 0.0581 0.00503 0.118596 0.010589 6 7 0.0439 0.00469 0.1 0.010963 7 8 0.0460 0.00518 0.116719 0.013545 8 9 0.0370 0.00502 0.10483 0.014659 9 10 0.0355 0.00531 0.112299 0.017301 10 11 0.0430 0.00627 0.155235 0.023602 11 12 0.0421 0.00685 0.17942 0.030646 12 13 0.0297 0.00668 0.149378 0.03511 13 14 0.0203 0.00651 0.116883 0.038894 14 15 0.0207 0.00804 0.134831 0.054919 15 . . . . . Summary of the Number of Censored and Uncensored Values Percent Stratum sex Total Failed Censored Censored 1 Female 555 293 262 47.21 2 Male 2418 1625 793 32.80 ------------------------------------------------------------- Total 2973 1918 1055 35.49 NOTE: There were 7 observations with missing values, negative time values or frequency values less than 1. Survival of two sexes with angina pectoris - YOUR NAME 7 Males and females diagnosed with angina pectoris (Lee+Wang p92,p104) Actuarial tables and graphs 04:42 Tuesday, September 27, 2005 The LIFETEST Procedure Survival Function Estimates SDF | | | | | | 1.0 + * | + S | ++ u | + r | ++ v | +F i | + ++ v 0.8 + M F+ a | + ++ l | + F+ | M+ +F+ D | ++ ++ i | M F s | + ++ t 0.6 + + F++ r | M+ +F+ i | ++ +F+ b | M ++ u | ++ F+ t | M++ +F++ i | +M +F+ o 0.4 + ++ +F+ n | M++ ++ | +M F++F+ F | ++ ++ u | M++ F n | +M c | ++ t 0.2 + M++ i | +M++M++ o | +M n | | | | 0.0 + | | | | | ------+------+------+------+------+------+------+------+------+------ 0 2 4 6 8 10 12 14 16 year Survival of two sexes with angina pectoris - YOUR NAME 8 Males and females diagnosed with angina pectoris (Lee+Wang p92,p104) Actuarial tables and graphs 04:42 Tuesday, September 27, 2005 The LIFETEST Procedure -Log(Survival Function) Estimates -LOG SDF | | | 2.00 + | M | ++ | + | M 1.75 + ++ | M | ++ | + | M 1.50 + + | + N | + e | M g | ++ a 1.25 + + F t | M ++ i | ++ + v | +M +F e | ++ +F+ 1.00 + M ++ L | + F o | + ++ g | +M ++F | ++ F+ S 0.75 + M ++ D | ++ ++F F | +M +F+ | ++ +F+ | M ++ 0.50 + ++ F | +M ++ | ++ ++F | M +F+ | + ++F+ 0.25 + + F+ | M++ | +F | ++ | + 0.00 + * | | | ----+------+------+------+------+------+------+------+------+--- 0 2 4 6 8 10 12 14 16 year Survival of two sexes with angina pectoris - YOUR NAME 9 Males and females diagnosed with angina pectoris (Lee+Wang p92,p104) Actuarial tables and graphs 04:42 Tuesday, September 27, 2005 The LIFETEST Procedure Log(-Log(Survival Function)) Estimates L(-L(S)) | | 1.0 + | | | | | M | +M 0.5 + M | M | + | +M L | M F o | + + g | +M F+F 0.0 + M + N | ++ +F e | M +F g | ++ F a | +M + t | ++ +F i | +M F v -0.5 + ++ ++ e | M F | ++ ++ L | + +F o | ++ ++ g | +M F | +++ ++ S -1.0 + ++ + D | +M+ +F F | ++ +++ | ++ +F+ | ++ ++ | ++ ++ | ++ ++ -1.5 + ++ +F | M +++ | ++ | +++ | +++ | F+ | -2.0 + | | ----+----+----+----+----+----+----+----+----+----+----+----+---- 0.00 0.25 0.50 0.75 1.00 1.25 1.50 1.75 2.00 2.25 2.50 2.75 Log year Survival of two sexes with angina pectoris - YOUR NAME 10 Males and females diagnosed with angina pectoris (Lee+Wang p92,p104) Actuarial tables and graphs 04:42 Tuesday, September 27, 2005 The LIFETEST Procedure Hazard Function Estimates Hazard | 0.225 + | | | M | + 0.200 + + | + | + | + | + M 0.175 + + + + | + + + | + + + | F + + + F | + + M + + H 0.150 + + + + M + a | + + + + + z | ++ + + + a | + + + + +M r | + + + + + d 0.125 + + M + + + | + + M+ M + +++ F | + + + ++ ++ + M+ + M + u | + + + M + + ++ +M F + n | + + + + + M+ + + c 0.100 + + + + M F + + + t | + M ++ + + + i | + + + + + + o | + + + + + + n | + +F++ F + + ++ 0.075 + + F+ +F + + + + | + + + + + F F | F+++F + + + + + | ++ + + + + + | F + + ++ 0.050 + F F | | | | 0.025 + | | | | 0.000 + -----+------+------+------+------+------+------+------+------+---- 0 2 4 6 8 10 12 14 16 year Survival of two sexes with angina pectoris - YOUR NAME 11 Males and females diagnosed with angina pectoris (Lee+Wang p92,p104) Actuarial tables and graphs 04:42 Tuesday, September 27, 2005 The LIFETEST Procedure Legend for Strata Stratum Symbol sex 1 F Female 2 M Male Survival of two sexes with angina pectoris - YOUR NAME 12 Males and females diagnosed with angina pectoris (Lee+Wang p92,p104) Actuarial tables and graphs 04:42 Tuesday, September 27, 2005 The LIFETEST Procedure Testing Homogeneity of Survival Curves for year over Strata Rank Statistics sex Log-Rank Wilcoxon Female -114.82 -209138 Male 114.82 209138 Covariance Matrix for the Log-Rank Statistics sex Female Male Female 282.189 -282.189 Male -282.189 282.189 Covariance Matrix for the Wilcoxon Statistics sex Female Male Female 1.2068E9 -1.207E9 Male -1.207E9 1.2068E9 Test of Equality over Strata Pr > Test Chi-Square DF Chi-Square Log-Rank 46.7173 1 <.0001 Wilcoxon 36.2449 1 <.0001 -2Log(LR) 53.5027 1 <.0001