Models for Discrimination Between Alternative Modes of Inheritance
Two extreme types of data may be available for discriminating between alternative modes of inheritance: data on two inbred lines, their F1 and the backcrosses, or data on a sample of relatives drawn from a random mating population. For the former kind of data a ten-parameter model is proposed that subsumes, as special cases, one-locus, two-locus, polygenic, or mixed major locus/polygenic inheritance for a quantitative trait For the latter kind of data three basic models are compared for detecting major gene segregation: the generalized major gene (transmission probability) model, the mixed major gene/polygenic inheritance model and the flexible regressive models. In all cases it is assumed that the environmental variation is normally distributed. The principle of maximizing expected entropy can be used to choose the best-fitting specific genetic hypothesis and, using the general model as a baseline, the likelihood ratio criterion can be used to test for departure from any specific hypothesis. It is recognized that these segregation analysis models can only suggest, never prove, the existence of monogenic segregation.
KeywordsTransmission Probability Major Locus Backcross Generation Pedigree Data Polygenic Inheritance
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- Akaike H (1977) On entropy maximization principle. In: Krishnaiah PR (ed) Applications of statistics. North Holland, Amsterdam, pp 27–41Google Scholar
- Box GEP, Cox DR (1964) An analysis of transformations. J R Stat Soc B 26:211–252Google Scholar
- Elston RC (1981b) Testing one-and two-locus hypotheses for the genetic differences of a qualitative trait between two homozygous lines. In: Gershon ES, Matthysse S, Breakefield XO, Ciaranello RD (eds) Genetic research strategies for psychobiology and psychiatry. The Boxwood Press, Pacific Grove, pp 283–293Google Scholar
- Elston RC, Namboodiri KK, Kaplan E (1978) Resolution of major loci for quantitative traits. In: Morton NE, Chung CS (eds) Genetic epidemiology. Academic Press, New York, pp 223–246Google Scholar
- Morton NE, MacLean CJ (1974) Analysis of resemblance III. Complex segregation of quantitative traits. Am J Hum Genet 26:489–503Google Scholar