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Article: A hierarchical frailty model applied to two-generation melanoma data
Title | A hierarchical frailty model applied to two-generation melanoma data | ||||
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Authors | |||||
Keywords | Statistics Statistics for Life Sciences, Medicine and Health Sciences Quality Control, Reliability, Safety and Risk Statistics for Business, Economics, Mathematical Finance and Insurance Operation Research and Decision Theory | ||||
Issue Date | 2010 | ||||
Publisher | Springer Netherlands | ||||
Citation | Lifetime Data Analysis, 2010, v. 17, n. 3, p. 445-460 How to Cite? | ||||
Abstract | We present a hierarchical frailty model based on distributions derived from non-negative Lévy processes. The model may be applied to data with several levels of dependence, such as family data or other general clusters, and is an alternative to additive frailty models. We present several parametric examples of the model, and properties such as expected values, variance and covariance. The model is applied to a case-cohort sample of age at onset for melanoma from the Swedish Multi-Generation Register, organized in nuclear families of parents and one or two children. We compare the genetic component of the total frailty variance to the common environmental term, and estimate the effect of birth cohort and gender. © 2010 The Author(s). | ||||
Persistent Identifier | http://hdl.handle.net/10722/145073 | ||||
ISSN | 2023 Impact Factor: 1.2 2023 SCImago Journal Rankings: 1.079 | ||||
ISI Accession Number ID |
Funding Information: We are grateful to Professor Yudi Pawitan at Karolinska Institutet in Stockholm, Sweden, for getting access to the melanoma data and discussions on the paper. We also wish to thank the associate editor and the referee for valuable comments. Marion Haugen was supported by Statistics for Innovation (sfi)2<INF>,</INF> project number 460739. | ||||
References | Aalen OO, Hjort NL (2002) Frailty models that yield proportional hazards. Stat Probab Lett 58: 335–342 doi: 10.1016/S0167-7152(02)00090-1 Aalen OO, Borgan Ø, Gjessing HK (2008) Survival and event history analysis. A process point of view. Springer, New York doi: 10.1007/978-0-387-68560-1 Ford D, Bliss JM, Swerdlow AJ et al (1995) Risk of cutaneous melanoma associated with a family history of the disease: the International Melanoma Analysis Group (IMAGE). Int J Cancer 62: 377–381 doi: 10.1002/ijc.2910620403 Gjessing HK, Lie RT (2008) Biometrical modelling in genetics: are complex traits too complex?. Stat Methods Med Res 17: 75–96 doi: 10.1177/0962280207081241 Gjessing HK, Aalen OO, Hjort NL (2003) Frailty models based on Lévy processes. Adv Appl Probab 35: 532–550 doi: 10.1239/aap/1051201659 Hemminki K, Zhang H, Czene K (2003) Familial and attributable risks in cutaneous melanoma: effects of proband and age. J Invest Dermatol 120: 217–223 doi: 10.1046/j.1523-1747.2003.12041.x Hougaard P (2000) Analysis of multivariate survival data. Springer, New York doi: 10.1007/978-1-4612-1304-8 Korsgaard IR, Andersen AH (1998) The additive genetic gamma frailty model. Scand J Stat 25: 255–269 doi: 10.1111/1467-9469.00102 Moger TA, Aalen OO (2005) A distribution for multivariate frailty based on the compound Poisson distribution with random scale. Lifetime Data Anal 11: 41–59 doi: 10.1007/s10985-004-5639-z Moger TA, Pawitan Y, Borgan Ø (2008) Case-cohort methods for survival data on families from routine registers. Stat Med 27: 1062–1074 doi: 10.1002/sim.3004 Pawitan Y, Reilly M, Nilsson E et al (2004) Estimation of genetic and environmental factors for binary traits using family data. Stat Med 23: 449–465 doi: 10.1002/sim.1603 Petersen JH (1998) An additive frailty model for correlated life times. Biometrics 54: 646–661 doi: 10.2307/3109771 Ripatti S, Palmgren J (2000) Estimation of multivariate frailty models using penalized partial likelihood. Biometrics 56: 1016–1022 doi: 10.1111/j.0006-341X.2000.01016.x Thörn M, Pontén F, Johansson AM et al (1998) Rapid increase in diagnosis of cutaneous melanoma in situ in Sweden, 1968–1992. Cancer Detect Prev 22: 430–437 doi: 10.1046/j.1525-1500.1998.00052.x Yau KKW (2001) Multilevel models for survival analysis with random effects. Biometrics 57: 96–102 doi: 10.1111/j.0006-341X.2001.00096.x |
DC Field | Value | Language |
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dc.contributor.author | Moger, TA | en_US |
dc.contributor.author | Haugen, M | en_US |
dc.contributor.author | Yip, BHK | en_US |
dc.contributor.author | Gjessing, HK | en_US |
dc.contributor.author | Borgan, Ø | en_US |
dc.date.accessioned | 2012-02-21T05:43:53Z | - |
dc.date.available | 2012-02-21T05:43:53Z | - |
dc.date.issued | 2010 | en_US |
dc.identifier.citation | Lifetime Data Analysis, 2010, v. 17, n. 3, p. 445-460 | en_US |
dc.identifier.issn | 1380-7870 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/145073 | - |
dc.description.abstract | We present a hierarchical frailty model based on distributions derived from non-negative Lévy processes. The model may be applied to data with several levels of dependence, such as family data or other general clusters, and is an alternative to additive frailty models. We present several parametric examples of the model, and properties such as expected values, variance and covariance. The model is applied to a case-cohort sample of age at onset for melanoma from the Swedish Multi-Generation Register, organized in nuclear families of parents and one or two children. We compare the genetic component of the total frailty variance to the common environmental term, and estimate the effect of birth cohort and gender. © 2010 The Author(s). | en_US |
dc.language | eng | en_US |
dc.publisher | Springer Netherlands | en_US |
dc.relation.ispartof | Lifetime Data Analysis | en_US |
dc.rights | The Author(s) | en_US |
dc.rights | This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. | en_US |
dc.subject | Statistics | en_US |
dc.subject | Statistics for Life Sciences, Medicine and Health Sciences | en_US |
dc.subject | Quality Control, Reliability, Safety and Risk | en_US |
dc.subject | Statistics for Business, Economics, Mathematical Finance and Insurance | en_US |
dc.subject | Operation Research and Decision Theory | en_US |
dc.title | A hierarchical frailty model applied to two-generation melanoma data | en_US |
dc.type | Article | en_US |
dc.identifier.openurl | http://library.hku.hk:4551/resserv?sid=springerlink&genre=article&atitle=A hierarchical frailty model applied to two-generation melanoma data&title=Lifetime Data Analysis&issn=13807870&date=2011-07-01&volume=17&issue=3& spage=445&authors=Tron Anders Moger, Marion Haugen, Benjamin H. K. Yip, <i>et al.</i> | en_US |
dc.description.nature | published_or_final_version | en_US |
dc.identifier.doi | 10.1007/s10985-010-9188-3 | en_US |
dc.identifier.pmid | 21046240 | - |
dc.identifier.scopus | eid_2-s2.0-79958272199 | en_US |
dc.relation.references | Aalen OO, Hjort NL (2002) Frailty models that yield proportional hazards. Stat Probab Lett 58: 335–342 | en_US |
dc.relation.references | doi: 10.1016/S0167-7152(02)00090-1 | en_US |
dc.relation.references | Aalen OO, Borgan Ø, Gjessing HK (2008) Survival and event history analysis. A process point of view. Springer, New York | en_US |
dc.relation.references | doi: 10.1007/978-0-387-68560-1 | en_US |
dc.relation.references | Ford D, Bliss JM, Swerdlow AJ et al (1995) Risk of cutaneous melanoma associated with a family history of the disease: the International Melanoma Analysis Group (IMAGE). Int J Cancer 62: 377–381 | en_US |
dc.relation.references | doi: 10.1002/ijc.2910620403 | en_US |
dc.relation.references | Gjessing HK, Lie RT (2008) Biometrical modelling in genetics: are complex traits too complex?. Stat Methods Med Res 17: 75–96 | en_US |
dc.relation.references | doi: 10.1177/0962280207081241 | en_US |
dc.relation.references | Gjessing HK, Aalen OO, Hjort NL (2003) Frailty models based on Lévy processes. Adv Appl Probab 35: 532–550 | en_US |
dc.relation.references | doi: 10.1239/aap/1051201659 | en_US |
dc.relation.references | Hemminki K, Zhang H, Czene K (2003) Familial and attributable risks in cutaneous melanoma: effects of proband and age. J Invest Dermatol 120: 217–223 | en_US |
dc.relation.references | doi: 10.1046/j.1523-1747.2003.12041.x | en_US |
dc.relation.references | Hougaard P (2000) Analysis of multivariate survival data. Springer, New York | en_US |
dc.relation.references | doi: 10.1007/978-1-4612-1304-8 | en_US |
dc.relation.references | Korsgaard IR, Andersen AH (1998) The additive genetic gamma frailty model. Scand J Stat 25: 255–269 | en_US |
dc.relation.references | doi: 10.1111/1467-9469.00102 | en_US |
dc.relation.references | Moger TA, Aalen OO (2005) A distribution for multivariate frailty based on the compound Poisson distribution with random scale. Lifetime Data Anal 11: 41–59 | en_US |
dc.relation.references | doi: 10.1007/s10985-004-5639-z | en_US |
dc.relation.references | Moger TA, Pawitan Y, Borgan Ø (2008) Case-cohort methods for survival data on families from routine registers. Stat Med 27: 1062–1074 | en_US |
dc.relation.references | doi: 10.1002/sim.3004 | en_US |
dc.relation.references | Pawitan Y, Reilly M, Nilsson E et al (2004) Estimation of genetic and environmental factors for binary traits using family data. Stat Med 23: 449–465 | en_US |
dc.relation.references | doi: 10.1002/sim.1603 | en_US |
dc.relation.references | Petersen JH (1998) An additive frailty model for correlated life times. Biometrics 54: 646–661 | en_US |
dc.relation.references | doi: 10.2307/3109771 | en_US |
dc.relation.references | Ripatti S, Palmgren J (2000) Estimation of multivariate frailty models using penalized partial likelihood. Biometrics 56: 1016–1022 | en_US |
dc.relation.references | doi: 10.1111/j.0006-341X.2000.01016.x | en_US |
dc.relation.references | Thörn M, Pontén F, Johansson AM et al (1998) Rapid increase in diagnosis of cutaneous melanoma in situ in Sweden, 1968–1992. Cancer Detect Prev 22: 430–437 | en_US |
dc.relation.references | doi: 10.1046/j.1525-1500.1998.00052.x | en_US |
dc.relation.references | Yau KKW (2001) Multilevel models for survival analysis with random effects. Biometrics 57: 96–102 | en_US |
dc.relation.references | doi: 10.1111/j.0006-341X.2001.00096.x | en_US |
dc.identifier.volume | 17 | en_US |
dc.identifier.issue | 3 | en_US |
dc.identifier.spage | 445 | en_US |
dc.identifier.epage | 460 | en_US |
dc.identifier.eissn | 1572-9249 | en_US |
dc.identifier.isi | WOS:000291486700007 | - |
dc.description.other | Springer Open Choice, 21 Feb 2012 | en_US |
dc.identifier.citeulike | 8240092 | - |
dc.identifier.issnl | 1380-7870 | - |