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The Journal of Heredity 1990:81(6):428-433
© 1990 The American Genetic Association 81:428-433

research-article

Rheumatic Fever Susceptibility in Four Ascertainments: Regressive Segregation on a Geometric Ascertainment Pattern

K. H. Sit

Department of Anatomy, National University of Singapore

Abstract

On resolving the ascertainment blases of the observed data in the geometric continuum Veffected–1 x P(Sibship), where 0 < v -> {infty}, four published ascertainments of rheumatic fever show excellent conformation with Mendelian recessive segregation, even in multiplex sibships. In two surveys in which ascertainment bias is near or a little above random sampling (v = 1), this conclusion is further corroborated by classical segregation analysis. The other two surveys have bias trends declining (v < 1) very much below random sampling. Such levels of ascertainment bias, if defined through the ascertainment probability parameter {pi}, would be out of range because the range is from single ascertainment, where {pi} -> 0 to random sampling where {pi} = 1 and probability cannot exceed unity. Highly successful antimicrobial measures that would reduce the number of diseased sibs independent of the distribution of susceptible sibs could produce a dissociation of the gene-to-"rheumatic" relationship and thus explains the declining ascertainment bias.


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