Second-Order Approximations of Ascertainment Probabilities

A second-order correction is derived for the usual first-order order approximation to the probability of ascertaining a pedigree. Both the first- and second-order approximations are compared to the exact ascertainment probability for selected examples of monogenic and polygenic traits. The second-order approximation is shown to be accurate within 10% when the individual ascertainment probability is less than 0.2, for most cases examined. In all cases, the first- and second-order approximations provide upper and lower bounds, respectively, for the exact ascertainment probability.

Keywords

monogenic traits, Models, Genetic, second-order approximations of ascertainment probabilities, Applications of statistics to biology and medical sciences; meta analysis, polygenic traits, Pedigree, pedigree analysis, Humans, Genetics and epigenetics, Probability

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