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Exact analysis of a paired sibling study

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Summary

A data set on types of congenital heart malformations for sibling pairs of Fraser and Hunter (1975) is analyzed exactly for quasi-independence with Monte Carlo methods. Exact p-values are computed for a test of parameter significance and a test of goodness-of-fit which contradict the model of quasiindependence and confirm an earlier analysis of MacGibbon (1983).

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Acknowledgments

This work was supported by NSERC of Canada, and the State of Louisiana. During part of the work the first author was supported by NSF grant DMS-0200888, and by SAMSI under grant DMS-0112069. We thank GERAD for kindly inviting one author in 2001, and ROHCP of the Université de Montréal for the use of computing facilities. We used the software R from lib.stat.cmu.edu for simulations. We also thank John McDonald for related references.

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Authors and Affiliations

  1. Department of Mathematics, Tulane University, 70115, New Orleans, LA, USA

    I. H. Dinwoodie

  2. Department of Mathematics and Statistics, UQAM, H3C 3P8, Montréal, Quebec, Canada

    Brenda MacGibbon

Authors
  1. I. H. Dinwoodie
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  2. Brenda MacGibbon
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Dinwoodie, I.H., MacGibbon, B. Exact analysis of a paired sibling study. Computational Statistics 19, 525–534 (2004). https://doi.org/10.1007/BF02753910

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