A latent class model for bivariate binary responses from twins
A latent class model for bivariate binary responses from twins
We analyse a 2^4 table reporting the presence or absence of alcohol dependence and depression in both members of 597 pairs of female monozygotic twins. The statistical analysis is based on a latent class model, formulated as a 2x2 table and parametrized by two marginal univariate genetic dispositions and the dependence ratio between these dispositions. The final model, selected after some empirically motivated simplifying assumptions are adopted, has six parameters and fits the data very well. The identifiability and stability of the final model is studied by contour plots of profile log-likelihood functions with two arguments. Numerical results are compared to those obtained when the measure of association between binary responses is the odds ratio rather than the dependence ratio. The conditional probability of alcohol dependence given the disposition for it is approximately 1/3, while the corresponding probability of depression is approximately 2/3. The association between these two latent dispositions is strong, the dependence ratio being approximately 3. An extended model, defining measures of heritability and similarity, for analysing, simultaneously, data on monzygotic and dizygotic twins is proposed.
contour plot, dependence and odds ratio, dizygotic and monozygotic twin, gebetic disposition, cohen's kappa, moment parameterization
Southampton Statistical Sciences Research Institute, University of Southampton
Ekholm, Anders
bc4d2421-5d0d-4250-b8e1-adddf60772e7
Jokinen, Jukka
9adae16e-e1e1-4ddf-bf4c-7231ee8c1c8e
Smith, Peter
961a01a3-bf4c-43ca-9599-5be4fd5d3940
2006
Ekholm, Anders
bc4d2421-5d0d-4250-b8e1-adddf60772e7
Jokinen, Jukka
9adae16e-e1e1-4ddf-bf4c-7231ee8c1c8e
Smith, Peter
961a01a3-bf4c-43ca-9599-5be4fd5d3940
Ekholm, Anders, Jokinen, Jukka and Smith, Peter
(2006)
A latent class model for bivariate binary responses from twins
(S3RI Methodology Working Papers, M06/10)
Southampton, UK.
Southampton Statistical Sciences Research Institute, University of Southampton
23pp.
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Monograph
(Working Paper)
Abstract
We analyse a 2^4 table reporting the presence or absence of alcohol dependence and depression in both members of 597 pairs of female monozygotic twins. The statistical analysis is based on a latent class model, formulated as a 2x2 table and parametrized by two marginal univariate genetic dispositions and the dependence ratio between these dispositions. The final model, selected after some empirically motivated simplifying assumptions are adopted, has six parameters and fits the data very well. The identifiability and stability of the final model is studied by contour plots of profile log-likelihood functions with two arguments. Numerical results are compared to those obtained when the measure of association between binary responses is the odds ratio rather than the dependence ratio. The conditional probability of alcohol dependence given the disposition for it is approximately 1/3, while the corresponding probability of depression is approximately 2/3. The association between these two latent dispositions is strong, the dependence ratio being approximately 3. An extended model, defining measures of heritability and similarity, for analysing, simultaneously, data on monzygotic and dizygotic twins is proposed.
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Published date: 2006
Keywords:
contour plot, dependence and odds ratio, dizygotic and monozygotic twin, gebetic disposition, cohen's kappa, moment parameterization
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Southampton Statistical Research Inst.
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Local EPrints ID: 39276
URI: http://eprints.soton.ac.uk/id/eprint/39276
PURE UUID: 9df695d2-66cd-455e-9d1a-a8ecacada092
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Date deposited: 26 Jun 2006
Last modified: 16 Mar 2024 02:42
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Author:
Anders Ekholm
Author:
Jukka Jokinen
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