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Testing the heritability and parent‐of‐origin hypotheses for ages at onset of psoriatic arthritis under biased sampling

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  • Lajmi Lakhal‐Chaieb
  • Richard J. Cook
  • Yujie Zhong

Abstract

The heritability and parent‐of‐origin effect hypotheses for chronic diseases can be evaluated by estimating and conducting inference about the parameters that measure the within‐family dependences in disease onset times. We model the within‐family associations in these times using a Gaussian copula whose correlation matrix accommodates the different pairwise family relationships. We derive score‐type statistics to test the heritability and parent‐of‐origin effect hypotheses when the families selection protocol induces a sampling bias. We illustrate the use of the developed methods through an application to a motivating family study in Psoriatic arthritis and provide strong evidence of excessive paternal transmission of risk.

Suggested Citation

  • Lajmi Lakhal‐Chaieb & Richard J. Cook & Yujie Zhong, 2020. "Testing the heritability and parent‐of‐origin hypotheses for ages at onset of psoriatic arthritis under biased sampling," Biometrics, The International Biometric Society, vol. 76(1), pages 293-303, March.
  • Handle: RePEc:bla:biomet:v:76:y:2020:i:1:p:293-303
    DOI: 10.1111/biom.13138
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