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Genome-wide association analysis by lasso penalized logistic regression

TLDR
The performance of lasso penalized logistic regression in case-control disease gene mapping with a large number of SNPs (single nucleotide polymorphisms) predictors is evaluated and coeliac disease results replicate the previous SNP results and shed light on possible interactions among the SNPs.
Abstract
Motivation: In ordinary regression, imposition of a lasso penalty makes continuous model selection straightforward. Lasso penalized regression is particularly advantageous when the number of predictors far exceeds the number of observations. Method: The present article evaluates the performance of lasso penalized logistic regression in case–control disease gene mapping with a large number of SNPs (single nucleotide polymorphisms) predictors. The strength of the lasso penalty can be tuned to select a predetermined number of the most relevant SNPs and other predictors. For a given value of the tuning constant, the penalized likelihood is quickly maximized by cyclic coordinate ascent. Once the most potent marginal predictors are identified, their two-way and higher order interactions can also be examined by lasso penalized logistic regression. Results: This strategy is tested on both simulated and real data. Our findings on coeliac disease replicate the previous SNP results and shed light on possible interactions among the SNPs. Availability: The software discussed is available in Mendel 9.0 at the UCLA Human Genetics web site. Contact: klange@ucla.edu Supplementary information: Supplementary data are available at Bioinformatics online.

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Polygenic modeling with bayesian sparse linear mixed models.

TL;DR: This work applies Bayesian sparse linear mixed model (BSLMM) and compares it with other methods for two polygenic modeling applications: estimating the proportion of variance in phenotypes explained (PVE) by available genotypes, and phenotype (or breeding value) prediction, and demonstrates that BSLMM considerably outperforms either of the other two methods.
References
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Journal ArticleDOI

LASSO-Patternsearch algorithm with application to ophthalmology and genomic data

TL;DR: The LASSO-Patternsearch algorithm was applied to data from a generative model of Rheumatoid Arthritis based on Problem 3 from the Genetic Analysis Workshop 15, successfully demonstrating its potential to efficiently recover higher order patterns from attribute vectors of length typical of genomic studies.
Journal ArticleDOI

Statistical advances and challenges for analyzing correlated high dimensional SNP data in genomic study for complex diseases

Yulan Liang, +1 more
- 01 Jan 2008 - 
TL;DR: A review of recent statistical advances and challenges for analyzing correlated high dimensional SNP data in genomic association studies for complex diseases is presented in this paper, which includes both general feature reduction approaches for high dimensional correlated data and more specific approaches for SNPs data, which include unsupervised haplotype mapping, tag SNP selection, and supervised SNPs selection using statistical testing/scoring, statistical modeling and machine learning methods with an emphasis on how to identify interacting loci.
Journal ArticleDOI

Detecting disease-causing genes by LASSO-Patternsearch algorithm.

TL;DR: In this article the original LASSO-Patternsearch algorithm is modified to handle the large number of SNPs plus covariates, and most of the associated SNPs and relevant covariates are identified.
Journal ArticleDOI

Penalized estimation of haplotype frequencies

TL;DR: A diversity penalty that automatically discards potential haplotypes with low explanatory power is introduced, and the new minorize-maximize (MM) algorithm is a useful substitute for the EM algorithm.
Journal ArticleDOI

Model selection based on logistic regression in a highly correlated candidate gene region

TL;DR: The aim is to develop methods for identifying a (causal) variant or variants from a dense panel of single-nucleotide polymorphisms (SNPs) that are genotyped on the evidence of previous studies and concludes that the newly developed Bayesian selection method performs well.
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