Finally, the paper also discussesMendel’s legacy from the point of view of biostatistics.2Mendel’s biographyGregor Mendel (20.7. A newlyproposed two-stage model is remarkably simpler according to the model of, while the new model yields onlyslightly weaker results. A statistical section 5 withan original analysis of Mendel’s data is motivated by anattempt to find such design of experiments, which wouldbe in a good accordance with Mendel’s data. Also the founder of the mathEJBI – Volume 12 (2016), Issue 2EJBI 2016 12(2):en20-en26received: October 13, 2016accepted: December 3, 2016published: December 31, 2016ematical statistics at the beginning of the 20th centurywere involved in their first interpretations, which is recalled in Section refkap:odpor. His pea plants experiments areoverviewed in Section 3. IfMendel realized his experiments following such two-stagealgorithm, which cannot be however proven, the resultswould purify Mendel’s legacy and remove the suspicionsthat he modified the results.Section 2 of this paper summarizes important factsabout Mendel’s life.
The main aim of this paperis to propose new two-stage statistical models, which arein a better accordance with Mendel’s data than a classicalmodel, where the latter considers a fixed sample size. Nevertheless, thereremain debates in statistical literature about the reasonswhy are Mendel’s results in such a too good accordancewith expected values. Although his educationhad been questioned for a long time, he was profoundlyeducated in botany as well as physics and in those parts ofmathematics (combinatorics, probability theory) appliedin his later pea plants experiments. Thepaper also discusses Mendel’s legacy from the point of viewof biostatistics.KeywordsGenetics, history of science, biostatistics, design of experimentsCorrespondence to:Jan KalinaInstitute of Computer Science CAS,Address: Pod Vodárenskou věžı́ 2, 182 07 Praha 8, CRE-mail: Mendel is generally acknowledged not only asthe founder genetics, but also as the author of the firstmathematical result in biology. Such model is found as the most suitable,which is remarkably simpler according to the model of ,while the new model yields only slightly weaker results. Mendel’s experiments aredescribed from a statistical point of view and his data areshown to be close to randomly generated data from thenovel models. The main aim of this paperis to propose new two-stage statistical models, which arein a better accordance with Mendel’s data than a classicalmodel, where the latter considers a fixed sample size.If Mendel realized his experiments following such two-stagealgorithm, which cannot be however proven, the resultswould purify Mendel’s legacy and remove the suspicionsthat he modified the results.
En20Original ArticleGregor Mendel’s Genetic ExperimentsA Statistical Analysis after 150 YearsJan Kalina11Institute of Computer Science CAS, Pod Vodárenskou věžı́ 2, 182 07 Praha 8, Czech RepublicAbstractGregor Mendel is generally acknowledged not only as thefounder of genetics but also as the author of the firstmathematical result in biology.
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