PMID: 9556304Apr 29, 1998Paper

A multivariate logistic model (MLM) for analyzing binary family data

American Journal of Medical Genetics
P M Karunaratne, R C Elston

Abstract

We consider modeling the familial correlation between 2 related individuals using a multiple logistic regressive model. It is shown that there is a discrepancy in the marginal probability of the second individual. We investigate the conditions under which this discrepancy can be minimized and show how it can have a direct effect on handling missing values and ascertainment. We derive a functional relationship between the parameters in the model that eliminates this discrepancy, hence solving the problems that can arise in the handling of missing values and ascertainment. Because this methodology fails when there are more than 2 related individuals, we present a new model based on a multivariate logistic distribution. Residual familial correlations can be directly related to the parameters of this model. The likelihood for family data under this model is independent of the order in which the family members enter the calculation. The marginal probabilities can be easily computed.

References

Jan 1, 1990·Genetic Epidemiology·F M DemenaisG E Bonney
Jan 1, 1971·Human Heredity·R C Elston, J Stewart

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Citations

Mar 5, 2010·Cancer Epidemiology, Biomarkers & Prevention : a Publication of the American Association for Cancer Research, Cosponsored by the American Society of Preventive Oncology·Xiangqing SunAmitabh Chak
Dec 10, 1999·Journal of Periodontology·U M IrfanN F Bissada
Aug 11, 2006·Statistics in Medicine·Robert C Elston, M Anne Spence
Jul 29, 2016·Molecular Genetics & Genomic Medicine·Xiangqing SunAmitabh Chak
Apr 26, 2014·Genetics and Molecular Biology·Fernando A PolettaEduardo E Castilla
Jul 19, 2019·Journal of Veterinary Internal Medicine·Stephen V CaiRebecka S Hess
Jan 30, 2004·Statistics in Medicine·Y PawitanP Lichtenstein
Mar 2, 2016·Cancer Epidemiology, Biomarkers & Prevention : a Publication of the American Association for Cancer Research, Cosponsored by the American Society of Preventive Oncology·Xiangqing SunAmitabh Chak
Dec 19, 2009·BMC Proceedings·Qingfu FengXiaofeng Zhu

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