* Surv simul 2.SPS. * Simulation of a mixture of an exponential and * an interval censored exponential survival function. * The interval itself has an exponential element. * Written by PSKL and amended to change source path on 31/7/03. * First create 1,000 cases from the simple exponential. GET DATA /TYPE=XLS /FILE='H:\documents\PhD\Kcases.xls' /SHEET=name 'Sheet1' /CELLRANGE=full /READNAMES=off. * Set a random seed for the whole of the simulation. * Assume time in days and lambda= 0.0006 (implies mean c 4.5 years) Set Seed=20010601. Compute source=1. compute time=trunc(rv.exp(0.0006)). * Look at resultant survival plot. * Use the dummy variable V1 for censoring. KM time /STATUS=v1(1) /PRINT MEAN /PERCENTILES /PLOT SURVIVAL .
| Output Created | 31-JUL-2003 11:56:38 | |
|---|---|---|
| Comments | ||
| Input | Filter | <none> |
| Weight | <none> | |
| Split File | <none> | |
| N of Rows in Working Data File | 1000 | |
| Syntax | KM time /STATUS=v1(1) /PRINT MEAN /PERCENTILES /PLOT SURVIVAL . |
|
| Resources | Elapsed Time | 0:00:00.50 |
Survival Analysis for TIME
Survival Time Standard Error 95% Confidence Interval
Mean: 1751.84 57.34 ( 1639.46, 1864.23 )
Median: 1194.00 46.81 ( 1102.26, 1285.74 )
Percentiles
25.00 50.00 75.00
Value 2321.00 1194.00 546.00
Standard Error 87.77 46.81 28.76
Save outfile='c:\tempsim1.sav'. * Now create 1000 cases from interval censored popn. * Assume time in days and lambda=0.001 (implies mean c. 2.7 years). GET DATA /TYPE=XLS /FILE='H:\documents\PhD\Kcases.xls' /SHEET=name 'Sheet1' /CELLRANGE=full /READNAMES=on . Compute source=2. compute failtime=trunc(rv.exp(0.001)). * Let the interval between examinations be * composed of a fixed minimum of 168 days, plus an exponential * element with mean approx 14 days. * Work out when the next examination will take place. * This is the observed failure time. Compute time=0. Set MXLOOPS=100. LOOP IF (time le failtime). compute time = time+168+trunc(rv.exp(0.07)). End LOOP. * Look at resultant survival plot. * Use the dummy variable V1 for censoring. KM time /STATUS=v1(1) /PRINT MEAN /PERCENTILES /PLOT SURVIVAL .
| Output Created | 31-JUL-2003 11:56:41 | |
|---|---|---|
| Comments | ||
| Input | Filter | <none> |
| Weight | <none> | |
| Split File | <none> | |
| N of Rows in Working Data File | 999 | |
| Syntax | KM time /STATUS=v1(1) /PRINT MEAN /PERCENTILES /PLOT SURVIVAL . |
|
| Resources | Elapsed Time | 0:00:00.27 |
Survival Analysis for TIME
Survival Time Standard Error 95% Confidence Interval
Mean: 1040.05 28.99 ( 983.24, 1096.86 )
Median: 732.00 28.66 ( 675.82, 788.18 )
Percentiles
25.00 50.00 75.00
Value 1459.00 732.00 364.00
Standard Error 51.40 28.66 6.40
Save outfile='c:\tempsim2.sav'. * Join the two distributions together, and plot the result. Add files file='c:\tempsim1.sav' /file='c:\tempsim2.sav'. KM time /STATUS=v1(1) /PRINT TABLE MEAN /PERCENTILES /PLOT SURVIVAL .
| Output Created | 31-JUL-2003 11:56:42 | |
|---|---|---|
| Comments | ||
| Input | Filter | <none> |
| Weight | <none> | |
| Split File | <none> | |
| N of Rows in Working Data File | 1999 | |
| Syntax | KM time /STATUS=v1(1) /PRINT TABLE MEAN /PERCENTILES /PLOT SURVIVAL . |
|
| Resources | Elapsed Time | 0:00:00.60 |
Survival Analysis for TIME
Time Status Cumulative Standard Cumulative Number
Survival Error Events Remaining
.00 1 .9995 .0005 1 1998
2.00 1 .9990 .0007 2 1997
4.00 1 .9985 .0009 3 1996
11.00 1 4 1995
11.00 1 .9975 .0011 5 1994
12.00 1 6 1993
12.00 1 7 1992
12.00 1 .9960 .0014 8 1991
13.00 1 .9955 .0015 9 1990
16.00 1 .9950 .0016 10 1989
18.00 1 .9945 .0017 11 1988
26.00 1 .9940 .0017 12 1987
30.00 1 13 1986
30.00 1 .9930 .0019 14 1985
32.00 1 .9925 .0019 15 1984
35.00 1 .9920 .0020 16 1983
39.00 1 .9915 .0021 17 1982
42.00 1 .9910 .0021 18 1981
43.00 1 .9905 .0022 19 1980
45.00 1 .9900 .0022 20 1979
46.00 1 .9895 .0023 21 1978
48.00 1 .9890 .0023 22 1977
49.00 1 .9885 .0024 23 1976
51.00 1 .9880 .0024 24 1975
52.00 1 .9875 .0025 25 1974
53.00 1 26 1973
53.00 1 .9865 .0026 27 1972
54.00 1 .9860 .0026 28 1971
55.00 1 .9855 .0027 29 1970
61.00 1 30 1969
61.00 1 .9845 .0028 31 1968
64.00 1 32 1967
64.00 1 .9835 .0028 33 1966
66.00 1 .9830 .0029 34 1965
67.00 1 .9825 .0029 35 1964
70.00 1 .9820 .0030 36 1963
74.00 1 .9815 .0030 37 1962
76.00 1 38 1961
76.00 1 .9805 .0031 39 1960
79.00 1 .9800 .0031 40 1959
82.00 1 .9795 .0032 41 1958
83.00 1 .9790 .0032 42 1957
84.00 1 .9785 .0032 43 1956
85.00 1 .9780 .0033 44 1955
89.00 1 .9775 .0033 45 1954
95.00 1 .9770 .0034 46 1953
96.00 1 .9765 .0034 47 1952
97.00 1 .9760 .0034 48 1951
99.00 1 49 1950
99.00 1 .9750 .0035 50 1949
100.00 1 .9745 .0035 51 1948
104.00 1 .9740 .0036 52 1947
105.00 1 .9735 .0036 53 1946
108.00 1 .9730 .0036 54 1945
111.00 1 .9725 .0037 55 1944
114.00 1 .9720 .0037 56 1943
115.00 1 .9715 .0037 57 1942
116.00 1 .9710 .0038 58 1941
117.00 1 .9705 .0038 59 1940
126.00 1 .9700 .0038 60 1939
127.00 1 .9695 .0038 61 1938
131.00 1 .9690 .0039 62 1937
133.00 1 .9685 .0039 63 1936
135.00 1 .9680 .0039 64 1935
139.00 1 .9675 .0040 65 1934
142.00 1 66 1933
142.00 1 .9665 .0040 67 1932
144.00 1 .9660 .0041 68 1931
146.00 1 .9655 .0041 69 1930
150.00 1 .9650 .0041 70 1929
153.00 1 .9645 .0041 71 1928
154.00 1 72 1927
154.00 1 .9635 .0042 73 1926
155.00 1 .9630 .0042 74 1925
157.00 1 .9625 .0043 75 1924
162.00 1 76 1923
162.00 1 .9615 .0043 77 1922
164.00 1 78 1921
164.00 1 .9605 .0044 79 1920
166.00 1 .9600 .0044 80 1919
167.00 1 .9595 .0044 81 1918
168.00 1 82 1917
168.00 1 83 1916
168.00 1 84 1915
168.00 1 85 1914
168.00 1 86 1913
168.00 1 87 1912
168.00 1 88 1911
168.00 1 89 1910
168.00 1 90 1909
168.00 1 91 1908
168.00 1 92 1907
168.00 1 93 1906
168.00 1 94 1905
168.00 1 95 1904
168.00 1 96 1903
168.00 1 97 1902
168.00 1 .9510 .0048 98 1901
169.00 1 99 1900
169.00 1 100 1899
169.00 1 101 1898
169.00 1 102 1897
169.00 1 103 1896
169.00 1 .9480 .0050 104 1895
170.00 1 105 1894
170.00 1 106 1893
170.00 1 107 1892
170.00 1 108 1891
170.00 1 109 1890
170.00 1 110 1889
170.00 1 111 1888
170.00 1 112 1887
170.00 1 .9435 .0052 113 1886
171.00 1 114 1885
171.00 1 115 1884
171.00 1 116 1883
171.00 1 117 1882
171.00 1 118 1881
171.00 1 119 1880
171.00 1 120 1879
171.00 1 121 1878
171.00 1 122 1877
171.00 1 123 1876
171.00 1 124 1875
171.00 1 .9375 .0054 125 1874
172.00 1 126 1873
172.00 1 127 1872
172.00 1 128 1871
172.00 1 129 1870
172.00 1 130 1869
172.00 1 131 1868
172.00 1 132 1867
172.00 1 133 1866
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172.00 1 137 1862
172.00 1 .9310 .0057 138 1861
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173.00 1 .9270 .0058 146 1853
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175.00 1 .9205 .0061 159 1840
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176.00 1 166 1833
176.00 1 .9165 .0062 167 1832
177.00 1 168 1831
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177.00 1 174 1825
177.00 1 .9125 .0063 175 1824
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178.00 1 .9100 .0064 180 1819
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180.00 1 .9035 .0066 193 1806
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181.00 1 .9010 .0067 198 1801
182.00 1 199 1800
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211.00 1 .8609 .0077 278 1721
213.00 1 279 1720
213.00 1 .8599 .0078 280 1719
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2735.00 1 .1306 .0075 1738 261
2738.00 1 .1301 .0075 1739 260
2741.00 1 .1296 .0075 1740 259
2748.00 1 .1291 .0075 1741 258
2750.00 1 .1286 .0075 1742 257
2752.00 1 1743 256
2752.00 1 .1276 .0075 1744 255
2759.00 1 .1271 .0074 1745 254
2765.00 1 .1266 .0074 1746 253
2766.00 1 .1261 .0074 1747 252
2779.00 1 1748 251
2779.00 1 .1251 .0074 1749 250
2790.00 1 .1246 .0074 1750 249
2794.00 1 .1241 .0074 1751 248
2795.00 1 .1236 .0074 1752 247
2804.00 1 .1231 .0073 1753 246
2807.00 1 .1226 .0073 1754 245
2811.00 1 .1221 .0073 1755 244
2824.00 1 .1216 .0073 1756 243
2825.00 1 .1211 .0073 1757 242
2827.00 1 .1206 .0073 1758 241
2852.00 1 .1201 .0073 1759 240
2859.00 1 .1196 .0073 1760 239
2861.00 1 .1191 .0072 1761 238
2862.00 1 1762 237
2862.00 1 .1181 .0072 1763 236
2863.00 1 .1176 .0072 1764 235
2866.00 1 .1171 .0072 1765 234
2878.00 1 .1166 .0072 1766 233
2882.00 1 .1161 .0072 1767 232
2888.00 1 .1156 .0072 1768 231
2894.00 1 1769 230
2894.00 1 .1146 .0071 1770 229
2898.00 1 .1141 .0071 1771 228
2901.00 1 .1136 .0071 1772 227
2902.00 1 .1131 .0071 1773 226
2905.00 1 .1126 .0071 1774 225
2909.00 1 .1121 .0071 1775 224
2933.00 1 .1116 .0070 1776 223
2946.00 1 .1111 .0070 1777 222
2950.00 1 .1106 .0070 1778 221
2953.00 1 .1101 .0070 1779 220
2961.00 1 .1096 .0070 1780 219
2963.00 1 .1091 .0070 1781 218
2966.00 1 .1086 .0070 1782 217
2969.00 1 .1081 .0069 1783 216
2980.00 1 .1076 .0069 1784 215
3000.00 1 .1071 .0069 1785 214
3005.00 1 .1066 .0069 1786 213
3015.00 1 .1061 .0069 1787 212
3017.00 1 .1056 .0069 1788 211
3023.00 1 .1051 .0069 1789 210
3054.00 1 .1046 .0068 1790 209
3055.00 1 .1041 .0068 1791 208
3056.00 1 1792 207
3056.00 1 1793 206
3056.00 1 .1026 .0068 1794 205
3059.00 1 .1021 .0068 1795 204
3065.00 1 .1016 .0068 1796 203
3077.00 1 .1011 .0067 1797 202
3078.00 1 .1006 .0067 1798 201
3083.00 1 .1001 .0067 1799 200
3090.00 1 .0995 .0067 1800 199
3096.00 1 .0990 .0067 1801 198
3097.00 1 .0985 .0067 1802 197
3100.00 1 .0980 .0067 1803 196
3115.00 1 1804 195
3115.00 1 .0970 .0066 1805 194
3133.00 1 .0965 .0066 1806 193
3136.00 1 .0960 .0066 1807 192
3138.00 1 .0955 .0066 1808 191
3139.00 1 .0950 .0066 1809 190
3152.00 1 .0945 .0065 1810 189
3169.00 1 1811 188
3169.00 1 .0935 .0065 1812 187
3182.00 1 .0930 .0065 1813 186
3200.00 1 .0925 .0065 1814 185
3203.00 1 .0920 .0065 1815 184
3205.00 1 .0915 .0065 1816 183
3210.00 1 .0910 .0064 1817 182
3215.00 1 .0905 .0064 1818 181
3219.00 1 .0900 .0064 1819 180
3223.00 1 .0895 .0064 1820 179
3239.00 1 .0890 .0064 1821 178
3241.00 1 .0885 .0064 1822 177
3243.00 1 .0880 .0063 1823 176
3246.00 1 .0875 .0063 1824 175
3258.00 1 .0870 .0063 1825 174
3262.00 1 .0865 .0063 1826 173
3263.00 1 .0860 .0063 1827 172
3274.00 1 .0855 .0063 1828 171
3280.00 1 .0850 .0062 1829 170
3305.00 1 .0845 .0062 1830 169
3309.00 1 .0840 .0062 1831 168
3318.00 1 .0835 .0062 1832 167
3321.00 1 .0830 .0062 1833 166
3325.00 1 .0825 .0062 1834 165
3333.00 1 .0820 .0061 1835 164
3337.00 1 .0815 .0061 1836 163
3355.00 1 .0810 .0061 1837 162
3386.00 1 .0805 .0061 1838 161
3392.00 1 .0800 .0061 1839 160
3418.00 1 .0795 .0061 1840 159
3428.00 1 .0790 .0060 1841 158
3429.00 1 .0785 .0060 1842 157
3432.00 1 .0780 .0060 1843 156
3435.00 1 .0775 .0060 1844 155
3459.00 1 .0770 .0060 1845 154
3463.00 1 .0765 .0059 1846 153
3468.00 1 .0760 .0059 1847 152
3475.00 1 .0755 .0059 1848 151
3479.00 1 .0750 .0059 1849 150
3486.00 1 .0745 .0059 1850 149
3490.00 1 .0740 .0059 1851 148
3504.00 1 1852 147
3504.00 1 .0730 .0058 1853 146
3536.00 1 .0725 .0058 1854 145
3554.00 1 .0720 .0058 1855 144
3579.00 1 .0715 .0058 1856 143
3601.00 1 .0710 .0057 1857 142
3613.00 1 .0705 .0057 1858 141
3617.00 1 .0700 .0057 1859 140
3626.00 1 .0695 .0057 1860 139
3641.00 1 .0690 .0057 1861 138
3645.00 1 .0685 .0057 1862 137
3688.00 1 .0680 .0056 1863 136
3693.00 1 .0675 .0056 1864 135
3717.00 1 .0670 .0056 1865 134
3722.00 1 .0665 .0056 1866 133
3723.00 1 .0660 .0056 1867 132
3735.00 1 .0655 .0055 1868 131
3754.00 1 1869 130
3754.00 1 .0645 .0055 1870 129
3781.00 1 .0640 .0055 1871 128
3783.00 1 .0635 .0055 1872 127
3807.00 1 .0630 .0054 1873 126
3817.00 1 .0625 .0054 1874 125
3838.00 1 .0620 .0054 1875 124
3844.00 1 .0615 .0054 1876 123
3845.00 1 .0610 .0054 1877 122
3867.00 1 .0605 .0053 1878 121
3875.00 1 .0600 .0053 1879 120
3904.00 1 .0595 .0053 1880 119
3913.00 1 .0590 .0053 1881 118
3918.00 1 .0585 .0053 1882 117
3939.00 1 .0580 .0052 1883 116
3940.00 1 .0575 .0052 1884 115
3951.00 1 .0570 .0052 1885 114
3952.00 1 .0565 .0052 1886 113
3957.00 1 .0560 .0051 1887 112
3958.00 1 .0555 .0051 1888 111
3964.00 1 .0550 .0051 1889 110
4005.00 1 1890 109
4005.00 1 .0540 .0051 1891 108
4026.00 1 .0535 .0050 1892 107
4028.00 1 .0530 .0050 1893 106
4098.00 1 .0525 .0050 1894 105
4103.00 1 .0520 .0050 1895 104
4123.00 1 .0515 .0049 1896 103
4128.00 1 .0510 .0049 1897 102
4158.00 1 .0505 .0049 1898 101
4159.00 1 .0500 .0049 1899 100
4161.00 1 .0495 .0049 1900 99
4162.00 1 .0490 .0048 1901 98
4199.00 1 .0485 .0048 1902 97
4216.00 1 .0480 .0048 1903 96
4219.00 1 .0475 .0048 1904 95
4246.00 1 .0470 .0047 1905 94
4247.00 1 .0465 .0047 1906 93
4251.00 1 .0460 .0047 1907 92
4253.00 1 .0455 .0047 1908 91
4271.00 1 .0450 .0046 1909 90
4303.00 1 .0445 .0046 1910 89
4307.00 1 .0440 .0046 1911 88
4338.00 1 .0435 .0046 1912 87
4350.00 1 .0430 .0045 1913 86
4374.00 1 .0425 .0045 1914 85
4380.00 1 .0420 .0045 1915 84
4403.00 1 .0415 .0045 1916 83
4419.00 1 .0410 .0044 1917 82
4432.00 1 .0405 .0044 1918 81
4442.00 1 .0400 .0044 1919 80
4455.00 1 .0395 .0044 1920 79
4456.00 1 .0390 .0043 1921 78
4468.00 1 .0385 .0043 1922 77
4469.00 1 .0380 .0043 1923 76
4495.00 1 .0375 .0043 1924 75
4502.00 1 .0370 .0042 1925 74
4518.00 1 .0365 .0042 1926 73
4543.00 1 .0360 .0042 1927 72
4590.00 1 .0355 .0041 1928 71
4634.00 1 .0350 .0041 1929 70
4649.00 1 .0345 .0041 1930 69
4687.00 1 .0340 .0041 1931 68
4697.00 1 .0335 .0040 1932 67
4773.00 1 .0330 .0040 1933 66
4783.00 1 .0325 .0040 1934 65
4812.00 1 .0320 .0039 1935 64
4817.00 1 .0315 .0039 1936 63
4883.00 1 .0310 .0039 1937 62
4903.00 1 .0305 .0038 1938 61
4912.00 1 .0300 .0038 1939 60
4986.00 1 .0295 .0038 1940 59
5020.00 1 .0290 .0038 1941 58
5034.00 1 .0285 .0037 1942 57
5065.00 1 .0280 .0037 1943 56
5104.00 1 .0275 .0037 1944 55
5143.00 1 .0270 .0036 1945 54
5229.00 1 .0265 .0036 1946 53
5240.00 1 .0260 .0036 1947 52
5245.00 1 .0255 .0035 1948 51
5331.00 1 .0250 .0035 1949 50
5337.00 1 .0245 .0035 1950 49
5490.00 1 .0240 .0034 1951 48
5625.00 1 .0235 .0034 1952 47
5628.00 1 .0230 .0034 1953 46
5643.00 1 .0225 .0033 1954 45
5651.00 1 .0220 .0033 1955 44
5663.00 1 .0215 .0032 1956 43
5683.00 1 .0210 .0032 1957 42
5700.00 1 .0205 .0032 1958 41
5744.00 1 .0200 .0031 1959 40
5840.00 1 .0195 .0031 1960 39
5842.00 1 .0190 .0031 1961 38
5865.00 1 .0185 .0030 1962 37
5890.00 1 .0180 .0030 1963 36
5903.00 1 .0175 .0029 1964 35
5978.00 1 .0170 .0029 1965 34
6095.00 1 .0165 .0028 1966 33
6104.00 1 .0160 .0028 1967 32
6119.00 1 .0155 .0028 1968 31
6146.00 1 .0150 .0027 1969 30
6168.00 1 .0145 .0027 1970 29
6348.00 1 .0140 .0026 1971 28
6586.00 1 .0135 .0026 1972 27
6625.00 1 .0130 .0025 1973 26
6662.00 1 .0125 .0025 1974 25
6747.00 1 .0120 .0024 1975 24
7142.00 1 .0115 .0024 1976 23
7394.00 1 .0110 .0023 1977 22
7439.00 1 .0105 .0023 1978 21
7554.00 1 .0100 .0022 1979 20
7700.00 1 .0095 .0022 1980 19
7728.00 1 .0090 .0021 1981 18
7746.00 1 .0085 .0021 1982 17
7926.00 1 .0080 .0020 1983 16
7960.00 1 .0075 .0019 1984 15
8004.00 1 .0070 .0019 1985 14
8210.00 1 .0065 .0018 1986 13
8272.00 1 .0060 .0017 1987 12
8343.00 1 .0055 .0017 1988 11
9550.00 1 .0050 .0016 1989 10
9615.00 1 .0045 .0015 1990 9
9739.00 1 .0040 .0014 1991 8
9760.00 1 .0035 .0013 1992 7
9970.00 1 .0030 .0012 1993 6
10792.00 1 .0025 .0011 1994 5
11051.00 1 .0020 .0010 1995 4
11353.00 1 .0015 .0009 1996 3
11603.00 1 .0010 .0007 1997 2
12653.00 1 .0005 .0005 1998 1
12740.00 1 .0000 .0000 1999 0
Number of Cases: 1999 Censored: 0 ( .00%) Events: 1999
Survival Time Standard Error 95% Confidence Interval
Mean: 1396.13 33.10 ( 1331.26, 1461.00 )
Median: 917.00 28.25 ( 861.63, 972.37 )
Percentiles
25.00 50.00 75.00
Value 1817.00 917.00 405.00
Standard Error 50.16 28.25 17.28