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Relative survival

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294:, relative survival (as opposed to overall survival and associated with excess hazard rates) is defined as the ratio of observed survival in a population to the expected or background survival rate. It can be thought of as the kaplan-meier survivor function for a particular year, divided by the expected survival rate in that particular year. That is typically known as the 313:
There are several software suites available to estimate relative survival rates. Regression modelling can be performed using maximum likelihood estimation methods by using Stata or R. For example, the R package cmprsk may be used for competing risk analyses which utilize sub-distribution or 'Fine and
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This form of analysis is known by its use of death certificates. In traditional overall survival analysis, the cause of death is irrelevant to the analysis. In a competing risks survival analyses, each death certificate is reviewed. If the disease of interest is cancer, and the patient dies of a car
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methods is that the estimates include two causes of death: deaths from the disease of interest and deaths from all other causes, which includes old age, other cancers, trauma and any other possible cause of death. In general, survival analysis is interested in the deaths by a disease rather than all
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The diagnosis of cause-of-death is varied between practitioners. How does one code for a patient who dies of heart failure after receiving a chemotherapeutic agent with known deleterious cardiac side-effects? In essence, what really matters is not why the population dies but if the rate of death is
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The equation does not define a survival proportion but simply describes the relationships between disease-specific death (excess hazard) rates, background mortality rates (expected death rate) and the overall observed mortality rates. The excess hazard rate is related to relative survival, just as
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The relative survival form of analysis is more complex than "competing risks" but is considered the gold-standard for performing a cause-specific survival analysis. It is based on two rates: the overall hazard rate observed in a diseased population and the background or expected hazard rate in the
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For example, there is variability in the way a patient who has cancer and commits suicide is coded/labelled. In addition, if a patient has an eye removed from an ocular cancer and dies getting hit while crossing the road because he did not see the car, he would often be considered to be censored
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If the coding was accurate, this figure should approximate 1.0 as the rate of those dying of non-cancer deaths (in a population of cancer sufferers) should approximate that of the general population. Thus, the use of relative survival provides an accurate way to measure survival rates that are
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If all patients are dying of car crashes, perhaps the tumour or treatment predisposes them to have visual or perceptual disturbances, which lead them to be more likely to die in a car crash. In addition, it has been shown that patients coded in a large US cancer registry as suffering from a
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Deaths from the disease in a single time period are the total number of deaths (overall number of deaths) minus the expected number of deaths in the general population. If 10 deaths per hundred population occur in a population of cancer patients, but only 1 death occurs per hundred general
256: 34:, is calculated by dividing the overall survival after diagnosis by the survival as observed in a similar population not diagnosed with that disease. A similar population is composed of individuals with at least age and gender similar to those diagnosed with the disease. 269:
Relative survival is typically used in the analysis of cancer registry data. Cause-specific survival estimation using the coding of death certificates has considerable inaccuracy and inconsistency and does not permit the comparison of rates across registries.
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causes. Thus, a "cause-specific survival analysis" is employed to measure disease-specific survival. Thus, there are two ways in performing a cause-specific survival analysis "competing risks survival analysis" and "relative survival."
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accident, the patient is labelled as censored at death instead of being labelled as having died. Issues with this method arise, as each hospital and or registry may code for causes of death differently.
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Gamel, JW (2001). "Non-parametric comparison of relative versus cause-specific survival in Surveillance, Epidemiology and End Results (SEER) programme breast cancer patients".
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is used, and it presents estimates of the proportion of people or patients alive at a certain point in time. The problem with measuring overall survival by using the
305:(CRS). It is analogous to the five-year overall survival rate, but it is a way of describing cancer-specific risk of death over five years after diagnosis. 251:{\displaystyle \lambda ={\text{Overall Death Rate}},~\lambda ^{*}={\text{Expected death rate}},~\nu ={\text{Disease-specific death rate}}} 555: 121: 328: 550: 46: 472: 373: 37:
When describing the survival experience of a group of people or patients typically the method of
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Dickman PW, Sloggett A, Hills M, Hakulinen T (2004). "Regression models for relative survival".
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non-cancer death are 1.37 times as likely to die than does a member of the general population.
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Gray, Bob. "cmprsk: Subdistribution Analysis of Competing Risks. R package version 2.2-1."
426: 492:"Estimating and modeling the cure fraction in population-based cancer survival analysis" 544: 323: 508: 491: 476: 377: 291: 42: 301:
If five consecutive years are multiplied, the resulting figure would be known as
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Brown, BW (1993). "Noncancer deaths in white adult cancer patients".
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rather than having died from the cancer or its subsequent effects.
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Lambert PC, Thompson JR, Weston CL, Dickman PW (2007).
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population, the disease specific number of deaths (
250: 151: 148: 531: 261:hazard rates are related to overall survival. 152:{\displaystyle \lambda =\lambda ^{*}+\nu \,\!} 8: 274:higher than that of the general population. 507: 243: 226: 217: 202: 194: 147: 135: 123: 534:. R-project. org/package= cmprsk (2010). 393:Journal of the National Cancer Institute 282:associated with the cancer in question. 350:Statistical Methods in Medical Research 340: 7: 72:general or background population. 25: 54:Competing risks survival analysis 1: 427:"Measures of Cancer Survival" 509:10.1093/biostatistics/kxl030 303:cumulative relative survival 245:Disease-specific death rate 572: 362:10.1177/096228020101000503 314:Gray' regression methods. 329:Five-year survival rate 405:10.1093/jnci/85.12.979 252: 153: 253: 154: 193: 122: 228:Expected death rate 556:Medical statistics 248: 204:Overall Death Rate 149: 82:excess hazard rate 78:excess hazard rate 47:actuarial survival 296:relative survival 246: 236: 229: 212: 205: 32:survival analysis 30:of a disease, in 28:Relative survival 16:(Redirected from 563: 535: 528: 522: 521: 511: 487: 481: 480: 461:10.1002/sim.1597 444: 438: 437: 435: 433: 423: 417: 416: 388: 382: 381: 345: 257: 255: 254: 249: 247: 244: 234: 230: 227: 222: 221: 210: 206: 203: 158: 156: 155: 150: 140: 139: 39:overall survival 21: 571: 570: 566: 565: 564: 562: 561: 560: 541: 540: 539: 538: 529: 525: 489: 488: 484: 446: 445: 441: 431: 429: 425: 424: 420: 399:(12): 979–987. 390: 389: 385: 347: 346: 342: 337: 320: 311: 288: 267: 265:Cancer survival 213: 191: 190: 131: 120: 119: 87: 84:is as follows: 69: 56: 23: 22: 18:Competing risks 15: 12: 11: 5: 569: 567: 559: 558: 553: 543: 542: 537: 536: 523: 482: 439: 418: 383: 356:(5): 339–352. 339: 338: 336: 333: 332: 331: 326: 319: 316: 310: 307: 287: 284: 266: 263: 242: 239: 233: 225: 220: 216: 209: 201: 198: 188: 187: 186: 185: 184: 183: 182: 181: 180: 179: 178: 177: 176: 175: 174: 173: 172: 171: 170: 169: 168: 167: 166: 165: 164: 163: 162: 161: 160: 159: 146: 143: 138: 134: 130: 127: 68: 65: 55: 52: 24: 14: 13: 10: 9: 6: 4: 3: 2: 568: 557: 554: 552: 549: 548: 546: 533: 527: 524: 519: 515: 510: 505: 502:(3): 576–94. 501: 497: 496:Biostatistics 493: 486: 483: 478: 474: 470: 466: 462: 458: 454: 450: 443: 440: 428: 422: 419: 414: 410: 406: 402: 398: 394: 387: 384: 379: 375: 371: 367: 363: 359: 355: 351: 344: 341: 334: 330: 327: 325: 324:Survival rate 322: 321: 317: 315: 308: 306: 304: 299: 297: 293: 285: 283: 279: 275: 271: 264: 262: 258: 240: 237: 231: 223: 218: 214: 207: 199: 196: 144: 141: 136: 132: 128: 125: 118: 117: 116: 115: 114: 113: 112: 111: 110: 109: 108: 107: 106: 105: 104: 103: 102: 101: 100: 99: 98: 97: 96: 95: 94: 93: 92: 91: 90: 89: 88: 85: 83: 79: 73: 66: 64: 60: 53: 51: 48: 44: 40: 35: 33: 29: 19: 551:Epidemiology 526: 499: 495: 485: 455:(1): 51–64. 452: 448: 442: 432:November 24, 430:. Retrieved 421: 396: 392: 386: 353: 349: 343: 312: 302: 300: 295: 292:epidemiology 289: 286:Epidemiology 280: 276: 272: 268: 259: 189: 86: 81: 77: 74: 70: 61: 57: 43:Kaplan-Meier 36: 27: 26: 532:http://CRAN 67:Hazard rate 545:Categories 335:References 238:ν 219:∗ 215:λ 197:λ 145:ν 137:∗ 133:λ 126:λ 518:17021277 469:14695639 449:Stat Med 370:11697226 318:See also 309:Software 477:9577626 413:8496983 378:6646370 516:  475:  467:  411:  376:  368:  298:(RS). 235:  211:  473:S2CID 374:S2CID 514:PMID 465:PMID 434:2010 409:PMID 366:PMID 504:doi 457:doi 401:doi 358:doi 290:In 45:or 547:: 512:. 498:. 494:. 471:. 463:. 453:23 451:. 407:. 397:85 395:. 372:. 364:. 354:10 352:. 520:. 506:: 500:8 479:. 459:: 436:. 415:. 403:: 380:. 360:: 241:= 232:, 224:= 208:, 200:= 142:+ 129:= 20:)

Index

Competing risks
survival analysis
overall survival
Kaplan-Meier
actuarial survival
epidemiology
Survival rate
Five-year survival rate
doi
10.1177/096228020101000503
PMID
11697226
S2CID
6646370
doi
10.1093/jnci/85.12.979
PMID
8496983
"Measures of Cancer Survival"
doi
10.1002/sim.1597
PMID
14695639
S2CID
9577626
"Estimating and modeling the cure fraction in population-based cancer survival analysis"
doi
10.1093/biostatistics/kxl030
PMID
17021277

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