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A parametric independence test for clustered binary data

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  • Bowman, Dale

Abstract

This paper proposes an independence test for a set of clustered binary observations, such as might be encountered in developmental toxicity studies. An exchangeable binary model is employed, under an assumption of exchangeability among cluster elements, to model probability of positive response. With a Weibull form assumed for response, the independence test is equivalent to testing whether a parameter value is unity. This Weibull form also allows for parametric tests for a covariate-response relationship and for covariate effects on correlation. The procedure is illustrated using data obtained from a developmental toxicity study.

Suggested Citation

  • Bowman, Dale, 1999. "A parametric independence test for clustered binary data," Statistics & Probability Letters, Elsevier, vol. 41(1), pages 1-7, January.
    • Handle: RePEc:eee:stapro:v:41:y:1999:i:1:p:1-7
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    Cited by:

    1. Shan, Guogen, 2013. "More efficient unconditional tests for exchangeable binary data with equal cluster sizes," Statistics & Probability Letters, Elsevier, vol. 83(2), pages 644-649.
    2. Fama, Yuchen & Pozdnyakov, Vladimir, 2011. "A test for self-exciting clustering mechanism," Statistics & Probability Letters, Elsevier, vol. 81(10), pages 1541-1546, October.
    3. Dale Bowman & E. Olusegun George, 2017. "Weighted least squares estimation for exchangeable binary data," Computational Statistics, Springer, vol. 32(4), pages 1747-1765, December.

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