Summary
Five methods of solution are given of the statistical problem presented by typical linkage data. The example chosen shows the various errors into which the use of inefficient statistics leads. Of the efficient methods the method of maximum likelihood possesses the advantage that it may be applied directly to any analogous problem, and is related in a previously unsuspected way to the measure of discrepancyX 2. The product ratio method, for using which a table is provided, enjoys the practical advantages of other efficient solutions, and is in addition unaffected by differential viability, if this is caused by one factor only. The method of minimumX 2, unlike the other two, is laborious in computation, and seems to possess no special theoretical interest.
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References
Haldane, J. B. S. (1919). “The probable errors of calculated linkage values, and the most accurate method of determining gametic from certain zygotic series.”Journ. Gen. viii. 291.
Bridges, C. B. (1914). “The chromosome hypothesis of linkage.”American Naturalist, xlviii. 524.
Fisher, R. A. (1925). “Theory of statistical estimation.”Proc. Camb. Phil. Soc. xxii, 700–725.
Fisher, R. A. (1922). “On the mathematical foundations of theoretical statistics.”Phil. Trans. A. ccxxii. 309–368.
— (1924). “The conditions under whichX 2 measures the discrepancy between observation and hypothesis.”Journ. Roy. Stat. Soc. lxxxvii. 442–449.
— (1923). “Statistical tests of agreement between observation and hypothesis.”Economica, iii. 139–147.
Carver, W. A. (1927). “A genetic study of certain chlorophyll deficiencies in Maize.”Genetics, xii. 415–440.
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Fisher, R.A., Balmukand, B. The estimation of linkage from the offspring of selfed heterozygotes. Journ. of Gen. 20, 79–92 (1928). https://doi.org/10.1007/BF02983317
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DOI: https://doi.org/10.1007/BF02983317