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4. The following table contains the KM estimate of the survival function (S) and its point-wise confidence intervals (LCL=lower limit and UCL=upper limit), where c is the censoring indicator (0 means not censored, and 1 means censored). Based on the table, find the following quantities. If any of these quantities are undefined, explain. (a) The median survival time, and the 95% confidence interval for the median. (b) The first and third quartiles, and the 95% confidence intervals for these quartiles. (c) The SIQR.

4. The following table contains the KM estimate of the survival function (S) and its point-wise confidence intervals (LCL=lower limit and UCL=upper limit), where c is the censoring indicator (0 means not censored, and 1 means censored). Based on the table, find the following quantities. If any of these quantities are undefined, explain. (a) The median survival time, and the 95% confidence interval for the median. (b) The first and third quartiles, and the 95% confidence intervals for these quartiles. (c) The SIQR.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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4. The following table contains the KM estimate of the survival function (S) and its point-wise confidence intervals (LCL=lower limit and UCL=upper limit), where c is the censoring indicator (0 means not censored, and 1 means censored). Based on the table, find the following quantities. If any of these quantities are undefined, explain. (a) The median survival time, and the 95% confidence interval for the median. (b) The first and third quartiles, and the 95% confidence intervals for these quartiles. (c) The SIQR. S LCL Obs time с S LCL 0.27516 0.27255 0.26995 0.26734 0.26474 0.74830 0.73960 0.73381 0.69930 Obs time с UCL Obs time с S LCL UCL 111 1037 0 0.84326 0.80700 0.88115 151 1079 0 0.58438 0.53611 0.63700 191 1125 0 0.31950 112 1038 0 0.84054 0.80404 0.87870 152 1080 0 0.57892 0.53058 0.63166 192 1126 0 0.31677 113 1039 0 0.83510 0.79811 0.87381 153 1081 0 0.57073 0.52230 0.62364 193 1128 0 0.31404 114 1040 0 0.82966 0.79220 0.86889 154 1082 0 0.56526 0.51678 0.61829 194 1131 0 0.31130 115 1042 0 0.81606 0.77749 0.85655 155 1083 0 0.55980 0.51128 0.61293 195 1136 0 0.30857 116 1043 0 0.81062 0.77163 0.85158 156 1084 0 0.55707 0.50853 0.61025 196 1139 0 0.30584 0.26214 117 1044 0 0.80518 0.76578 0.84661 157 1085 0 0.54888 0.50028 0.60220 197 1140 0 0.30311 0.25954 118 1045 0 0.79974 0.75994 0.84162 158 1086 0 0.54342 0.49480 0.59682 198 1141 0 0.29765 0.25434 119 1046 0 0.79430 0.75411 0.83662 159 1087 0 0.54069 0.49205 0.59413 199 1144 0 0.29492 0.25175 120 1047 0 0.79158 0.75120 0.83412 160 1088 0 0.52157 0.47291 0.57525 200 1145 0 0.29219 0.24916 121 1048 0 0.78886 0.83161 161 1089 0 0.51065 0.46200 0.56442 201 1146 0 0.28946 0.24657 122 1049 0 0.78070 0.82408 162 1090 0 0.50792 0.45927 0.56171 202 1153 0 0.28673 0.24398 123 1050 0 0.77526 0.81904 163 1091 0 0.50519 0.45655 0.55900 203 1155 0 0.28400 0.24139 124 1051 0 0.76982 0.72804 0.81399 164 1092 0 0.49153 0.44297 0.54543 204 1164 0 0.28127 0.23881 125 1052 0 0.75894 0.71651 0.80387 165 1094 0 0.48880 0.44025 0.54271 205 1205 1 0.28127 126 1053 0 0.74805 0.70503 0.79370 166 1095 0 0.47242 0.42401 0.52635 206 1241 0 0.27851 0.23620 0.32840 127 1054 0 0.74261 0.78861 167 1096 0 0.45330 0.40513 0.50721 207 1281 0 0.27575 0.23359 0.32552 128 1055 0 0.73445 0.78095 168 1097 0 0.45057 0.40244 0.50446 208 1285 0 0.27299 0.23099 0.32264 129 1056 0 0.72901 0.77583 169 1098 0 0.43692 0.38901 0.49073 209 1290 0 0.27024 0.22838 0.31976 130 1057 0 0.71541 0.76299 170 1099 0 0.42327 0.37561 0.47696 210 1297 1 0.27024 131 1058 0 0.71269 0.76042 171 1100 0 0.41507 0.36760 0.46868 211 1299 0 0.26745 0.22575 132 1059 0 0.70453 0.75269 172 1101 0 0.41234 0.36493 0.46592 212 1301 0 0.26466 0.22313 133 1059 1 0.70453 173 1102 0 0.40961 0.36226 0.46315 213 1311 0 0.26188 0.22050 134 1060 0 0.69634 0.65093 174 1103 0 0.40415 0.35693 0.45762 214 1314 0 0.25909 0.21788 135 1061 0 0.68542 0.63960 175 1104 0 0.39869 0.35160 0.45208 215 1317 0 0.25352 0.21264 0.30227 136 1062 0 0.67995 0.63394 176 1105 0 0.39323 0.34629 0.44653 216 1331 0 0.25073 0.21002 0.29934 137 1063 0 0.67722 0.63112 177 1107 0 0.39050 0.34363 0.44375 217 1332 0 0.24516 0.20480 0.29349 138 1064 0 0.67449 0.62829 178 1108 0 0.38503 0.33832 0.43820 218 1333 0 0.24238 0.20219 0.29055 139 1065 0 0.66630 0.61983 0.71625 179 1109 0 0.38230 0.33567 0.43541 219 1334 0 0.23959 0.19958 0.28762 140 1066 0 0.65811 0.61139 0.70840 180 1110 0 0.37957 0.33302 0.43263 220 1338 0 0.23402 0.19438 0.28174 141 1067 0 0.65538 0.60858 0.70577 181 1111 0 0.37411 0.32773 0.42706 221 1339 0 0.22566 0.18659 0.27291 142 1068 0 0.64992 0.60297 0.70052 182 1112 0 0.37138 0.32508 0.42427 222 1343 0 0.22009 0.18142 0.26700 143 1069 0 0.63899 0.59175 0.69000 183 1113 0 0.36319 0.31716 0.41590 223 1345 0 0.21730 0.17883 144 1070 0 0.63353 0.58616 0.68473 184 1114 0 0.35500 0.30925 0.40751 224 1346 0 0.21452 0.17625 1071 0 0.63080 0.58336 0.68210 185 1115 0 0.35227 0.30662 0.40471 225 1347 0 0.20895 0.17110 1073 0 0.62534 0.57778 0.67681 186 1116 0 0.34680 0.30136 0.39910 226 1350 0 0.20616 0.16853 0.61442 0.66623 187 1118 0 0.34134 0.29610 0.39349 227 1352 0 0.20337 0.16596 0.60622 0.55829 0.65828 188 1119 0 0.33588 0.29086 0.38787 228 1354 0 0.19780 0.16083 0.60349 0.55551 0.65562 189 1122 0 0.33042 0.28562 0.38225 229 1356 1 0.19780 0.59530 0.54718 0.64765 190 1124 0 0.32223 0.27777 0.37379 230 1357 0 0.19498 0.69073 0.68502 0.67080 0.66796 0.65946 0.31685 0.31394 0.31102 0.30811 0.74491 0.73452 0.72931 0.72670 0.72409 0.26405 0.26109 0.25516 0.25220 0.24923 0.56663 145 146 147 1074 0 148 1076 0 149 1077 0 150 1078 0 0.24327 0.15823 0.24026 UCL 0.37097 0.36815 0.36533 0.36250 0.35967 0.35684 0.35401 0.34833 0.34550 0.34266 0.33981 0.33697 0.33412 0.33127
Transcribed Image Text:4. The following table contains the KM estimate of the survival function (S) and its point-wise confidence intervals (LCL=lower limit and UCL=upper limit), where c is the censoring indicator (0 means not censored, and 1 means censored). Based on the table, find the following quantities. If any of these quantities are undefined, explain. (a) The median survival time, and the 95% confidence interval for the median. (b) The first and third quartiles, and the 95% confidence intervals for these quartiles. (c) The SIQR. S LCL Obs time с S LCL 0.27516 0.27255 0.26995 0.26734 0.26474 0.74830 0.73960 0.73381 0.69930 Obs time с UCL Obs time с S LCL UCL 111 1037 0 0.84326 0.80700 0.88115 151 1079 0 0.58438 0.53611 0.63700 191 1125 0 0.31950 112 1038 0 0.84054 0.80404 0.87870 152 1080 0 0.57892 0.53058 0.63166 192 1126 0 0.31677 113 1039 0 0.83510 0.79811 0.87381 153 1081 0 0.57073 0.52230 0.62364 193 1128 0 0.31404 114 1040 0 0.82966 0.79220 0.86889 154 1082 0 0.56526 0.51678 0.61829 194 1131 0 0.31130 115 1042 0 0.81606 0.77749 0.85655 155 1083 0 0.55980 0.51128 0.61293 195 1136 0 0.30857 116 1043 0 0.81062 0.77163 0.85158 156 1084 0 0.55707 0.50853 0.61025 196 1139 0 0.30584 0.26214 117 1044 0 0.80518 0.76578 0.84661 157 1085 0 0.54888 0.50028 0.60220 197 1140 0 0.30311 0.25954 118 1045 0 0.79974 0.75994 0.84162 158 1086 0 0.54342 0.49480 0.59682 198 1141 0 0.29765 0.25434 119 1046 0 0.79430 0.75411 0.83662 159 1087 0 0.54069 0.49205 0.59413 199 1144 0 0.29492 0.25175 120 1047 0 0.79158 0.75120 0.83412 160 1088 0 0.52157 0.47291 0.57525 200 1145 0 0.29219 0.24916 121 1048 0 0.78886 0.83161 161 1089 0 0.51065 0.46200 0.56442 201 1146 0 0.28946 0.24657 122 1049 0 0.78070 0.82408 162 1090 0 0.50792 0.45927 0.56171 202 1153 0 0.28673 0.24398 123 1050 0 0.77526 0.81904 163 1091 0 0.50519 0.45655 0.55900 203 1155 0 0.28400 0.24139 124 1051 0 0.76982 0.72804 0.81399 164 1092 0 0.49153 0.44297 0.54543 204 1164 0 0.28127 0.23881 125 1052 0 0.75894 0.71651 0.80387 165 1094 0 0.48880 0.44025 0.54271 205 1205 1 0.28127 126 1053 0 0.74805 0.70503 0.79370 166 1095 0 0.47242 0.42401 0.52635 206 1241 0 0.27851 0.23620 0.32840 127 1054 0 0.74261 0.78861 167 1096 0 0.45330 0.40513 0.50721 207 1281 0 0.27575 0.23359 0.32552 128 1055 0 0.73445 0.78095 168 1097 0 0.45057 0.40244 0.50446 208 1285 0 0.27299 0.23099 0.32264 129 1056 0 0.72901 0.77583 169 1098 0 0.43692 0.38901 0.49073 209 1290 0 0.27024 0.22838 0.31976 130 1057 0 0.71541 0.76299 170 1099 0 0.42327 0.37561 0.47696 210 1297 1 0.27024 131 1058 0 0.71269 0.76042 171 1100 0 0.41507 0.36760 0.46868 211 1299 0 0.26745 0.22575 132 1059 0 0.70453 0.75269 172 1101 0 0.41234 0.36493 0.46592 212 1301 0 0.26466 0.22313 133 1059 1 0.70453 173 1102 0 0.40961 0.36226 0.46315 213 1311 0 0.26188 0.22050 134 1060 0 0.69634 0.65093 174 1103 0 0.40415 0.35693 0.45762 214 1314 0 0.25909 0.21788 135 1061 0 0.68542 0.63960 175 1104 0 0.39869 0.35160 0.45208 215 1317 0 0.25352 0.21264 0.30227 136 1062 0 0.67995 0.63394 176 1105 0 0.39323 0.34629 0.44653 216 1331 0 0.25073 0.21002 0.29934 137 1063 0 0.67722 0.63112 177 1107 0 0.39050 0.34363 0.44375 217 1332 0 0.24516 0.20480 0.29349 138 1064 0 0.67449 0.62829 178 1108 0 0.38503 0.33832 0.43820 218 1333 0 0.24238 0.20219 0.29055 139 1065 0 0.66630 0.61983 0.71625 179 1109 0 0.38230 0.33567 0.43541 219 1334 0 0.23959 0.19958 0.28762 140 1066 0 0.65811 0.61139 0.70840 180 1110 0 0.37957 0.33302 0.43263 220 1338 0 0.23402 0.19438 0.28174 141 1067 0 0.65538 0.60858 0.70577 181 1111 0 0.37411 0.32773 0.42706 221 1339 0 0.22566 0.18659 0.27291 142 1068 0 0.64992 0.60297 0.70052 182 1112 0 0.37138 0.32508 0.42427 222 1343 0 0.22009 0.18142 0.26700 143 1069 0 0.63899 0.59175 0.69000 183 1113 0 0.36319 0.31716 0.41590 223 1345 0 0.21730 0.17883 144 1070 0 0.63353 0.58616 0.68473 184 1114 0 0.35500 0.30925 0.40751 224 1346 0 0.21452 0.17625 1071 0 0.63080 0.58336 0.68210 185 1115 0 0.35227 0.30662 0.40471 225 1347 0 0.20895 0.17110 1073 0 0.62534 0.57778 0.67681 186 1116 0 0.34680 0.30136 0.39910 226 1350 0 0.20616 0.16853 0.61442 0.66623 187 1118 0 0.34134 0.29610 0.39349 227 1352 0 0.20337 0.16596 0.60622 0.55829 0.65828 188 1119 0 0.33588 0.29086 0.38787 228 1354 0 0.19780 0.16083 0.60349 0.55551 0.65562 189 1122 0 0.33042 0.28562 0.38225 229 1356 1 0.19780 0.59530 0.54718 0.64765 190 1124 0 0.32223 0.27777 0.37379 230 1357 0 0.19498 0.69073 0.68502 0.67080 0.66796 0.65946 0.31685 0.31394 0.31102 0.30811 0.74491 0.73452 0.72931 0.72670 0.72409 0.26405 0.26109 0.25516 0.25220 0.24923 0.56663 145 146 147 1074 0 148 1076 0 149 1077 0 150 1078 0 0.24327 0.15823 0.24026 UCL 0.37097 0.36815 0.36533 0.36250 0.35967 0.35684 0.35401 0.34833 0.34550 0.34266 0.33981 0.33697 0.33412 0.33127
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