Bayesian procedures for discriminating among hypotheses with discrete distributions: inheritance in the tetraploid Astilbe biternata. Olson, M. S. Genetics, 147(4):1933–1942, December, 1997. Place: United States
doi  abstract   bibtex   
Discrimination between disomic and tetrasomic inheritance aids in determining whether tetraploids originated by allotetraploidy or autotetraploidy, respectively. Past assessments of inheritance in tetraploids have used analyses whereby each inheritance hypothesis is tested independently. I present a Bayesian analysis that is appropriate for discriminating among several inheritance hypotheses and can be used in any case where hypotheses are defined by discrete distributions. The Bayesian approach incorporates prior knowledge of the probability of occurrence of disomic and tetrasomic hypotheses so that the results of the analysis are not biased by the fact that there is a single tetrasomic hypothesis and multiple disomic hypotheses. This analysis is used to interpret data from crosses in the tetraploid Astilbe biternata, a herbaceous plant native to the southern Appalachians. The progeny ratios from all crosses favored the hypothesis of disomic inheritance at both the PGM and slow-PGI loci. These results support earlier cytogenetic evidence for the allotetraploid origin of Astilbe biternata.
@article{olson_bayesian_1997,
	title = {Bayesian procedures for discriminating among hypotheses with discrete distributions: inheritance in the tetraploid {Astilbe} biternata.},
	volume = {147},
	issn = {0016-6731},
	doi = {10.1093/genetics/147.4.1933},
	abstract = {Discrimination between disomic and tetrasomic inheritance aids in determining whether tetraploids originated by allotetraploidy or autotetraploidy,  respectively. Past assessments of inheritance in tetraploids have used analyses  whereby each inheritance hypothesis is tested independently. I present a Bayesian  analysis that is appropriate for discriminating among several inheritance  hypotheses and can be used in any case where hypotheses are defined by discrete  distributions. The Bayesian approach incorporates prior knowledge of the  probability of occurrence of disomic and tetrasomic hypotheses so that the  results of the analysis are not biased by the fact that there is a single  tetrasomic hypothesis and multiple disomic hypotheses. This analysis is used to  interpret data from crosses in the tetraploid Astilbe biternata, a herbaceous  plant native to the southern Appalachians. The progeny ratios from all crosses  favored the hypothesis of disomic inheritance at both the PGM and slow-PGI loci.  These results support earlier cytogenetic evidence for the allotetraploid origin  of Astilbe biternata.},
	language = {eng},
	number = {4},
	journal = {Genetics},
	author = {Olson, M. S.},
	month = dec,
	year = {1997},
	pmid = {9409848},
	pmcid = {PMC1208358},
	note = {Place: United States},
	keywords = {*Bayes Theorem, *Models, Genetic, Alleles, Genetic Linkage, Glucose-6-Phosphate Isomerase/genetics, Phosphoglucomutase/genetics, Plants/*enzymology/genetics, Ploidies},
	pages = {1933--1942},
}

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