Direct Estimation of Effects and Tests of Their Statistical Significance for the Case of One Autosomal Locus with Two Alleles

Charles J. Mode

Authors

Charles J. Mode

estimating effects, estimated heritability, tests of statistical significance, definitions of null hypotheses, Monte Carlo simulations methods, simula

Abstract

In previous papers, see the references, the author introduced methods for estimating effects directly in samples of individuals whose genomes had be sequenced for the cases of one and two or more quantitative traits. In these papers, no attention was given to developing procedures of testing the statistical significance of the estimated effects. This paper is devoted to the development of statistical tests of significance of estimated effects for the simple case of one autosomal locus with two alleles, using Monte Carlo simulation methods. Because no real data was available to the author, artificial data for the three genotypes was simulated by using a Monte Carlo simulation procedures with fixed sample size for each genotypes as well as expectations and variances. In all cases considered, the null hypothesis was described in detail so as to inform a reader on the basic concepts underlying the proposed tests of statistical significance.

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Direct Estimation of Effects and Tests of Their Statistical Significance for the Case of One Autosomal Locus with Two Alleles. (2015). Global Journal of Science Frontier Research, 15(F4), 1-27. https://www.journalofscience.org/index.php/GJSFR/article/view/1547

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References

C Mode, R Gallop (2008) A Review on Monte Carlo Simulation Methods as They Apply to Mutation and Selection as Formulated in Wright-Fisher Models of Evolutionary Genetics. 211, 205-225.

C Mode, T Raj, C Sleeman (2011) Monte Carlo Implementations of Two Sex Density Dependent Branching Processes and their Applications in Evolutionary Genetics. 273-296.

C Mode (2014) Estimating Effects and Variance Components in Models of Quantitative Genetics in an Era of Sequenced Genomes. 5, 47-84.

C Mode, J (2014) Estimating Statistical Measures of Pleiotropic and Epistatic Effects in the Genomic Era. 3(2).

Towfique Raj, Joshua Shulman, Brendan Keenan, Lori Chibnik, Denis Evans, David Bennett, Barbara Stranger, Philip De jager (2012) Alzheimer Disease Susceptibility Loci: Evidence for a Protein Network under Natural Selection. 90(4), 720-726.

E Rossin, K Lage, S Raychaudhuri, R Xavier, D Tatar (2011) Proteins Encoded in Genomic Regions Associated with Immune-Mediated Disease Physically Interact and Suggest Underlying Biology. 7(1), 1001273.