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Jeremy York, David Madigan, Ivar Heuch, Rolv Terje Lie, Birth Defects Registered by Double Sampling: A Bayesian Approach Incorporating Covariates and Model Uncertainty, Journal of the Royal Statistical Society. Series C (Applied Statistics), Vol. 44, No. 2 (1995), pp. 227-242
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York et al. (1995) studied this question.
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