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Is Weinberg's Method Valid?

Published online by Cambridge University Press:  01 August 2014

M.G. Bulmer*
Affiliation:
Department of Biomathematics, University of Oxford, Great Britain
*
Department of Biomathematics, Pusey Street, Oxford 0X1 2JZ, Great Britain

Abstract

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Suppose that L like-sexed and U unlike-sexed twins have been observed. Weinberg's method estimates the numbers of DZ andMZ twins as DZ = 2U and MZ = L—U. This method is based on the assumptions that (1) the sex ratio in DZ twins is 1/2 and (2) the sexes of DZ twins are determined independently and with the same probability in all parents; in consequence there should, on average, be equal numbers of like-sexed and unlike-sexed DZ twins. The first assumption is not exactly true, but the necessary correction is negligible. Departures from the second assumption would probably lead to an excess of like-sexed over unlike-sexed DZ twins; in consequence, Weinberg's method would underestimate the numbers of DZ twins and overestimate the numbers of MZ twins. The literature on the frequencies of like-sexed and unlike-sexed pairs among twins known to be DZ through other genetic markers is reviewed. It is concluded that there is no evidence of an excess of like-sexed twins among them, and that there is therefore no reason to doubt the validity of Weinberg's method. The extension of Weinberg's method to estimate the zygosity types of triplets and quadruplets is described; it is shown that the resulting estimates agree well with the results of direct zygosity determination by blood grouping.

Type
2. The Twinning Phenomenon
Copyright
Copyright © The International Society for Twin Studies 1976

References

REFERENCES

Allen, G. 1960. A differential method for estimation of type frequencies in triplets and quadruplets. Am. J. Hum. Genet., 12, 210224.Google ScholarPubMed
Bertillon, M. 1874. Des combinaisons de sexe dans les grossesses gémellaires (doubles ou triples), de leur cause et de leur caractère ethnique. Bull. Soc. Anthrop. Paris, 9: 267290.Google Scholar
Bulmer, M. G. 1960. The twinning rate in Europe and Africa. Ann. Hum. Genet., 24: 121125.CrossRefGoogle ScholarPubMed
Bulmer, M. G. 1970. The Biology of Twinning in Man. Oxford: Clarendon Press.Google Scholar
Corney, G., Robson, E. B., Strong, S. J. 1968. Twin zygosity and placentation. Ann. Hum. Genet., 32: 8996.CrossRefGoogle Scholar
Edwards, A. W. F. 1958. An analysis of Geissler's data on the human sex ratio. Ann. Hum. Genet., 23- 615.CrossRefGoogle ScholarPubMed
Edwards, A. W. F., Fraccaro, M. 1960. Distribution and sequences of sexes in a selected sample of Swedish families. Ann. Hum. Genet., 24: 245252.CrossRefGoogle Scholar
Edwards, A. W. F. 1966. Sex-ratio data analyzed independently of family limitation. Ann. Hum. Genet., 29: 337347.CrossRefGoogle Scholar
Hauge, M., Herrlin, K. M., Heiken, A. 1967. The distribution of blood groups in a series of triplets. Acta Genet. Statist. Med., 17: 260274.Google Scholar
James, W. H. 1971 a. Cycle day of insemination, coital rate and sex ratio. Lancet, 1: 112114.CrossRefGoogle ScholarPubMed
James, W. H. 1971 b. Excess of like-sexed pairs of dizygotic twins. Nature, 232: 277278.CrossRefGoogle ScholarPubMed
Knox, G., Morley, D. 1960. Twinning in Yoruba women. J. Obstet. Gynaecol. Br. Commonw., 67: 981984.CrossRefGoogle ScholarPubMed
Nylander, P. P. S. 1969. The frequency of twinning in a rural community in Western Nigeria. Ann. Hum. Genet., 33: 4144.CrossRefGoogle Scholar
Nylander, P. P. S. 1970. Placental forms and zygosity determination of twins in Ibadan, Western Nigeria. Acta Genet. Med. Gemellol. (Roma), 19: 4954.CrossRefGoogle ScholarPubMed
Nylander, P. P. S., Corney, G. 1971. Placentation and zygosity of triplets and higher multiple births in Ibadan, Nigeria. Ann. Hum. Genet., 34: 417426.CrossRefGoogle ScholarPubMed
Potter, E. L. 1963. Twin zygosity and placental form in relation to the outcome of pregnancy. Am. J. Obstet. Gynecol., 87: 566577.CrossRefGoogle Scholar
Rae, A. L. 1956. The genetics of the sheep. Adv. Genet., 8: 189265.CrossRefGoogle Scholar
Renkonen, K. O. 1967. Is Weinberg's rule defective? Ann. Hum. Genet., 30: 277280.CrossRefGoogle ScholarPubMed
Strong, S. J., Corney, G. 1967. The Placenta in Twin Pregnancy. Oxford: Pergamon Press.Google Scholar
Walsh, R. J., Kooptzoff, O. 1955. A study of twins: blood groups and other data. Aust. J. Exp. Biol. Med. Sci., 33: 189198.CrossRefGoogle ScholarPubMed
Weinberg, W. 1901. Beiträge zur Physiologie und Pathologie der Mehrlingsgeburten beim Menschen. Pflügers Arch. Ges. Physiol., 88: 346430.CrossRefGoogle Scholar