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A.N. Kolmogorov's defence of Mendelism Genet. Mol. Biol.
Stark,Alan; Seneta,Eugene.
In 1939 N.I. Ermolaeva published the results of an experiment which repeated parts of Mendel's classical experiments. On the basis of her experiment she concluded that Mendel's principle that self-pollination of hybrid plants gave rise to segregation proportions 3:1 was false. The great probability theorist A.N. Kolmogorov reviewed Ermolaeva's data using a test, now referred to as Kolmogorov's, or Kolmogorov-Smirnov, test, which he had proposed in 1933. He found, contrary to Ermolaeva, that her results clearly confirmed Mendel's principle. This paper shows that there were methodological flaws in Kolmogorov's statistical analysis and presents a substantially adjusted approach, which confirms his conclusions. Some historical commentary on the Lysenko-era...
Tipo: Info:eu-repo/semantics/article Palavras-chave: Mendel's peas; Hybrids; Segregation ratio; Kolmogorov-Smirnov test; Chi-squared test.
Ano: 2011 URL: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1415-47572011000200002
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On S.N. Bernstein's derivation of Mendel's Law and 'rediscovery' of the Hardy-Weinberg distribution Genet. Mol. Biol.
Stark,Alan; Seneta,Eugene.
Around 1923 the soon-to-be famous Soviet mathematician and probabilist Sergei N. Bernstein started to construct an axiomatic foundation of a theory of heredity. He began from the premise of stationarity (constancy of type proportions) from the first generation of offspring. This led him to derive the Mendelian coefficients of heredity. It appears that he had no direct influence on the subsequent development of population genetics. A basic assumption of Bernstein was that parents coupled randomly to produce offspring. This paper shows that a simple model of non-random mating, which nevertheless embodies a feature of the Hardy-Weinberg Law, can produce Mendelian coefficients of heredity while maintaining the population distribution. How W. Johannsen's...
Tipo: Info:eu-repo/semantics/article Palavras-chave: Bernstein; Mendel; Hardy-Weinberg; Axiomatic foundations; Coefficients of heredity.
Ano: 2012 URL: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1415-47572012000300002
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