Skip to main content

Advertisement

Log in

The Application of a Random Effects Model to Censored Twin Data

  • Published:
Behavior Genetics Aims and scope Submit manuscript

Abstract

The authors propose a random effects model to analyze the latent genetic and environmental effects on determining censored outcomes in twin studies. In this model, six normally distributed random effects are used to describe the correlation within twin pairs. The authors employ a Monte Carlo Expectation-Maximization approach for obtaining maximum likelihood estimates of fixed effects and the variances of random effects. The variances of the random effects are reparameterized to be equivalent to genetic and environmental effects in traditional twin models. The authors illustrate this model using data from the Vietnam Era Twin Registry to explore the magnitude of the genetic influence on twin similarity for the age of onset of alcohol abuse. Our results show genetic factors contribute about one third of twin similarity in the age of onset of alcohol abuse in male twins. The application of this model to twin data is discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Abbreviations

DZ:

dizygotic twins

EM:

Expectation-Maximization

MCEM:

Monte Carlo Expectation-Maximization

MZ:

monozygotic twins

VET:

Vietnam Era Twin

References

  • J. Amsterdam F. Garcia-Espana J. Fawcett F. Quitkin F. Reimherr J. Rosenbaum C. Beasley (1999) ArticleTitleFluoxetine efficacy in menopausal women with and without estrogen replacement J. Affect. Disord. 55 11–17 Occurrence Handle10.1016/S0165-0327(98)00203-1 Occurrence Handle10512601 Occurrence Handle1:STN:280:DyaK1MvktFWkuw%3D%3D

    Article  PubMed  CAS  Google Scholar 

  • E. Anderson M. Lambert (2001) ArticleTitleA survival analysis of clinically significant change in outpatient psychotherapy J. Clin. Psychol. 57 875–888 Occurrence Handle10.1002/jclp.1056 Occurrence Handle11406801 Occurrence Handle1:STN:280:DC%2BD3Mzktlagsw%3D%3D

    Article  PubMed  CAS  Google Scholar 

  • InstitutionalAuthorNameAmerican Psychiatric Association (APA). (1987) Diagnostic and Statistical Manual of Mental Disorders (DSM-III-R) American Psychiatric Press Washington, DC

    Google Scholar 

  • W. Chen S. Faraone M. Tsuang (1992) ArticleTitleEstimating age at onset distributions: a review of methods and issues Psychiatr. Genet. 2 219–238

    Google Scholar 

  • D. Clayton (1978) ArticleTitleA model for association in bivariate life-tables and its application in epidemiological studies of familial tendency in chronic disease Biometrika 65 141–151

    Google Scholar 

  • D. Clayton (1991) ArticleTitleA Monte Carlo method for Bayesian inference in frailty models Biometrics 47 467–485 Occurrence Handle1912256 Occurrence Handle1:STN:280:By2D3czhtVM%3D

    PubMed  CAS  Google Scholar 

  • D. Clayton J. Cuzick (1985) ArticleTitleMultivariate generalizations of the proportional hazards model J. R. Stat. Soc. Ser. A. 148 82–117

    Google Scholar 

  • N. Day (1995) Epidemiology of alcohol use, abuse, and dependence G. Zahner (Eds) Textbook in Psychiatric Epidemiology John Wiley & Sons New York 345–360

    Google Scholar 

  • A. Dempster N. Laird D. Rubin (1977) ArticleTitleMaximum likelihood from incomplete data via the EM algorithm (with discussion) J. R. Stat. Soc. Ser. B 39 1–38

    Google Scholar 

  • S. Eisen W. True J. Goldberg W. Henderson C. Robinette (1987) ArticleTitleThe Vietnam Era Twin (VET) Registry: method of construction Acta Genet. Med. Gemellol. (Roma) 36 61–66 Occurrence Handle1:STN:280:BieD2crlsV0%3D

    CAS  Google Scholar 

  • S. Faraone M. Tsuang (1995) Methods in psychiatric genetics G. Zahner (Eds) Textbook in Psychiatric Epidemiology John Wiley & Sons New York 81–134

    Google Scholar 

  • H. Feldman (1988) ArticleTitleFamilies of lines: random effects in linear regression analysis J. Appl. Physiol. 64 1721–1732 Occurrence Handle3379003 Occurrence Handle1:STN:280:BieB2czmsFw%3D

    PubMed  CAS  Google Scholar 

  • R. Gibbons D. Hedeker I. Elkin C. Waternaux H. Kraemer J. Greenhouse M. Shea S. Imber S. Sotsky J. Watkins (1993) ArticleTitleSome conceptual and statistical issues in analysis of longitudinal psychiatric data: application to the NIMH Treatment of Depression Collaborative Research Program dataset Arch. Gen. Psychiatry 50 739–750 Occurrence Handle8357299 Occurrence Handle1:STN:280:ByyA28zgsVM%3D

    PubMed  CAS  Google Scholar 

  • D. Glidden (1999) ArticleTitleChecking the adequacy of the gamma frailty model for multivariate failure times Biometrika 86 381–393 Occurrence Handle10.1093/biomet/86.2.381

    Article  Google Scholar 

  • J. Goldberg W. True S. Eisen W. Henderson C. Robinette (1987) ArticleTitleThe Vietnam Era Twin (VET) Registry: ascertainment bias Acta Genet. Med. Gemellol. (Roma) 36 67–78 Occurrence Handle1:STN:280:BieD2crlsFQ%3D

    CAS  Google Scholar 

  • G. Guo G. Rodriguez (1992) ArticleTitleEstimating a multivariate proportional hazards model for clustered data using the EM algorithm, with an application to child survival in Guatemala J. Am. Stat. Assoc. 87 969–976

    Google Scholar 

  • Heath, A., Neale, M., Hewitt, J., Eaves, L., and Fulkner, D. (1989). Testing structure equation models for twin data using LISREL. Behav. Genet. 19.

  • J. Helzer A. Burnam L. McEvoy (1991) Alcohol dependence and abuse D. Regier (Eds) Psychiatric Disorders in America. The Epidemiologic Catchment Area Study The Free Press New York 53–81

    Google Scholar 

  • W. Henderson S. Eisen J. Goldberg W. True J. Barnes M. Vitek (1990) ArticleTitleThe Vietnam Era Twin Registry: a resource for medical research Public Health Rep. 105 368–373 Occurrence Handle2116638 Occurrence Handle1:STN:280:By%2BA2c7kslI%3D

    PubMed  CAS  Google Scholar 

  • P. Hoel (1984) Introduction to Mathematical Statistics John Wiley & Sons New York

    Google Scholar 

  • K. Kendler (1993) ArticleTitleTwin studies of psychiatric illness: current status and future directions Arch. Gen. Psychiatry 50 905–915 Occurrence Handle8215816 Occurrence Handle1:STN:280:ByuD38bksFQ%3D

    PubMed  CAS  Google Scholar 

  • K. Kendler L. Thornton C. Gardner (2001) ArticleTitleGenetic risk, number of previous depressive episodes, and stressful life events in predicting onset of major depression Am. J. Psychiatry 158 582–586 Occurrence Handle11282692 Occurrence Handle1:STN:280:DC%2BD3M3ivVKqsQ%3D%3D

    PubMed  CAS  Google Scholar 

  • Khoury, M., Beaty, T., and Cohen, B. (1993). Fundamental genetic concepts and approaches, Fundamentals of Genetic Epidemiology New York: Oxford University Press, pp. 26–54.

  • J. Klein (1992) ArticleTitleSemiparametric estimation of random effects using the Cox model based on the EM algorithm Biometrics 48 795–806 Occurrence Handle1420842 Occurrence Handle1:STN:280:ByyD2c3mt1Y%3D

    PubMed  CAS  Google Scholar 

  • Klein, J., and Moeschberger (1997). Multivariate survival analysis, Survival Analysis Techniques for Censored and Truncated Data. pp. 405–418..

  • N. Laird J. Ware (1982) ArticleTitleRandom effects models for longitudinal data Biometrics 1982 963–974

    Google Scholar 

  • T. Louis (1982) ArticleTitleFinding the observed information matrix with using the EM algorithm J. R. Stat. Soc. Ser. B 44 190–200

    Google Scholar 

  • M. Neale L. Cardon (1992) Methodology for Genetic Studies of Twins and Families Kluwer Academic Dordrecht, the Netherlands

    Google Scholar 

  • J. O’Quigley J. Stare (2002) ArticleTitleProportional hazards models with frailties and random effects Stat. Med. 21 3219–3233 Occurrence Handle12375300

    PubMed  Google Scholar 

  • J. Petersen P. Andersen R. Gill (1996) ArticleTitleVariance components models for survival data Stat. Neerl. 50, nr. 1 193–211

    Google Scholar 

  • J. Peterson (1998) ArticleTitleAn additive frailty model for correlated life times Biometrics 54 646–661

    Google Scholar 

  • A. Pickles R. Crouchley (1995) ArticleTitleA comparison of frailty models for multivariate survival data Stat. Med. 21 1447–1461

    Google Scholar 

  • A. Pickles (1999) Survival analysis methods in twin research A. MacGregor (Eds) Advances in Twin and Sib-pair Analysis Greenwich Medical Media Limited London, UK 131–142

    Google Scholar 

  • C. Prescott K. Kendler (1999) ArticleTitleGenetic and environmental contributions to alcohol abuse and dependence in a population-based sample of male twins Am. J. Psychiatry 156 34–40 Occurrence Handle9892295 Occurrence Handle1:STN:280:DyaK1M7gsleisQ%3D%3D

    PubMed  CAS  Google Scholar 

  • L. Robins J. Helzer L. Cottler E. Goldring (1989) Diagnostic Interview Schedule Version III Revised National Institute of Mental Health Rockville, MD

    Google Scholar 

  • N. Sastry (1997) ArticleTitleA nested frailty model for survival data, with an application to the study of child survival in northeast Brazil J. Am. Stat. Assoc. 92 426–435 Occurrence Handle12155403 Occurrence Handle1:STN:280:DC%2BD38roslWgtA%3D%3D

    PubMed  CAS  Google Scholar 

  • T. Spector H. Snieder A. MacGregor (1999) Advances in Twin and Sib-pair Analysis Greenwich Medical Media Limited London, UK

    Google Scholar 

  • E. Swoboda A. Conca P. Koenig R. Waanders M. Hansen (2001) ArticleTitleMaintenance electroconvulsive therapy in affective and schizoaffective disorder Neuropsychobiology 43 23–28 Occurrence Handle10.1159/000054861 Occurrence Handle11150895 Occurrence Handle1:STN:280:DC%2BD3MzotFansA%3D%3D

    Article  PubMed  CAS  Google Scholar 

  • F. Vaida R. Xu (2000) ArticleTitleProportional hazards model with random effects Stat. Med. 19 3309–3324 Occurrence Handle10.1002/1097-0258(20001230)19:24<3309::AID-SIM825>3.0.CO;2-9 Occurrence Handle11122497 Occurrence Handle1:STN:280:DC%2BD3MzgsVWmtg%3D%3D

    Article  PubMed  CAS  Google Scholar 

  • J. Vaupel K. Manton E. Stallard (1979) ArticleTitleThe impact of heterogeneity in individual frailty on the dynamic of mortality Demography 16 439–454 Occurrence Handle510638 Occurrence Handle1:STN:280:Bi%2BD28blvFY%3D

    PubMed  CAS  Google Scholar 

  • B. Viswanathan A.K. Manatunga (2001) ArticleTitleDiagnostic plots for assessing the frailty distribution in multivariate survival data Lifetime Data Anal. 7 143–155 Occurrence Handle10.1023/A:1011348823081 Occurrence Handle11458654 Occurrence Handle1:STN:280:DC%2BD3Mvgslamsg%3D%3D

    Article  PubMed  CAS  Google Scholar 

  • J. Ware (1985) ArticleTitleLinear models for the analysis of longitudinal studies Am. Stat. 39 95–101

    Google Scholar 

  • J. Willett J. Singer N. Martin (1998) ArticleTitleThe design and analysis of longitudinal studies of development and psychopathology in context: Statistical models and methodological recommendations Dev. Psychopathol. 10 395–426 Occurrence Handle10.1017/S0954579498001667 Occurrence Handle9635230 Occurrence Handle1:STN:280:DyaK1c3pvV2luw%3D%3D

    Article  PubMed  CAS  Google Scholar 

  • L. Wu J. Anthony (1999) ArticleTitleTobacco smoking and depressed mood in late childhood and early adolescence Am. J. Public Health 89 1837–1840 Occurrence Handle10589312 Occurrence Handle1:STN:280:DC%2BD3c%2Fls1Kqsg%3D%3D Occurrence Handle10.2105/AJPH.89.12.1837

    Article  PubMed  CAS  Google Scholar 

  • A. Yashin I. Iachine (1995a) ArticleTitleGenetic analysis of durations: correlated frailty model applied to survival of Danish twins Genet. Epidemiol. 12 529–538 Occurrence Handle10.1002/gepi.1370120510 Occurrence Handle1:STN:280:BymC2M%2Fns10%3D

    Article  CAS  Google Scholar 

  • A. Yashin I. Iachine (1995b) ArticleTitleSurvival of related individuals: An extension of some fundamental results of heterogeneity analysis Math. Popul. Stud. 5 321–339 Occurrence Handle1:STN:280:DC%2BD38ngt1OqtA%3D%3D

    CAS  Google Scholar 

  • A. Yashin J. Vaupel I. Iachine (1995) ArticleTitleCorrelated individual frailty: an advantageous approach to survival analysis of bivariate data Math. Popul. Stud. 5 145–159 Occurrence Handle12290053 Occurrence Handle1:STN:280:DC%2BD38rnvVarsQ%3D%3D

    PubMed  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to I-Chao Liu.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Liu, IC., Xu, R., Blacker, D.L. et al. The Application of a Random Effects Model to Censored Twin Data. Behav Genet 35, 781–789 (2005). https://doi.org/10.1007/s10519-005-7285-y

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10519-005-7285-y

Keywords:

Navigation