Summary
The maximum likelihood method for estimating linkage disequilibrium from genotypic data for randomly mating populations is studied. Instead of iterative methods for finding a root of the cubic equation for one of the gametic frequencies (Hill, 1974), it is recommended that the cubic be solved completely. For data with some missing genotypic classes, it is further recommended that explicit solutions for the cubic be used.
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References
Cockerham, C Clark,, and Weir, B S. 1977. Digenic descent measures for finite populations. Genetical Research, 30, 121–147.
Hill, W G. 1974. Estimation of linkage disequilibrium in randomly mating populations. Heredity, 33, 229–239.
Laurie-Ahlberg, C C, and Weir, B S. 1979. Allozymic variation and linkage disequilibrium in some laboratory populations of Drosophila melanogaster. Genetics (submitted).
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Paper No. 5628 of the Journal Series of the North Carolina Agricultural Experiment Station, Raleigh, North Carolina. This investigation was supported in part by NIH Research Grant No. GM 11546 from the National Institute of General Medical Sciences.
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Weir, B., Cockerham, C. Estimation of linkage disequilibrium in randomly mating populations. Heredity 42, 105–111 (1979). https://doi.org/10.1038/hdy.1979.10
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DOI: https://doi.org/10.1038/hdy.1979.10
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