A latent class model for bivariate binary responses from twins

Ekholm, Anders, Jokinen, Jukka, McDonald, John W. and Smith, Peter (2006) A latent class model for bivariate binary responses from twins. Southampton, UK, University of Southampton, Southampton Statistical Sciences Research Institute, 23pp. (S3RI Methodology Working Papers, M06/10).


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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.

Item Type: Monograph (Working Paper)
Keywords: contour plot, dependence and odds ratio, dizygotic and monozygotic twin, gebetic disposition, cohen's kappa, moment parameterization
Subjects: H Social Sciences > HA Statistics
H Social Sciences > HQ The family. Marriage. Woman
Q Science > QH Natural history > QH426 Genetics
Divisions : University Structure - Pre August 2011 > Southampton Statistical Sciences Research Institute
ePrint ID: 39276
Accepted Date and Publication Date:
2006Made publicly available
Date Deposited: 26 Jun 2006
Last Modified: 31 Mar 2016 12:09
URI: http://eprints.soton.ac.uk/id/eprint/39276

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