### Conditional likelihood score functions for mixed models in linkage analysis

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You can use --make-grm-part to reduce the memory usage further. Note : All these files shall have same sample size and order, the program will prompt an error if not. Note : This option is designed to compute the GRM in a very large sample e. The memory usage of each run is the total memory required divided by m.

Thus partitioning a large number of parts can reduce the memory usage significantly. As some computer clusters limit the virtual memory, allocating 1 to 2GB more memory to each job will be safer. Due to the speciality of the GRM for the X-chromosome, it is not recommended to manipulate the matrix by --grm-cutoff or --grm-adj , or merge it with the GRMs for autosomes see below for the options of manipulating the GRM. Note 1: this flag has been re-implemented in GCTA 1. Note 2: the function treats X chr as non-pseudoautosomal region nPAR with genotype coding for male as 0, 2. For pseudoautosomal region PAR , we can alter the chromosome number in bim file to autosome and use --make-grm to run.

See Yang et al. Method for estimating the GRM : Yang et al. This option actually tells GCTA to read three files, e. GCTA automatically adds suffix ". If the test. Same as --grm but read the GRM files in compressed text format generated by --make-grm-gz option. This option actually tells GCTA to read two files, e. The root filenames of multiple GRMs are given in a file, e. Same as --mgrm but read the GRM files in compressed text format generated by --make-grm-gz.

GCTA selectively removes individuals to maximize the remaining sample size rather than doing it at random. Note : 1 This flag has been rewritten to save memory usage. Currently, it can only be used in combination with other three flags, i. It can be used in combination with --keep and --remove to manupulate the subjects. You need to use the option --update-sex to read sex information of the individuals from a file see the --update-sex option above.

It is also possible to use these five commands in the REML analysis see the section below. A demonstration of estimating variance explained by the X chromosome for height and BMI : Yang et al. The number of starting values specified should NOT be smaller than the number of variance components in the model.

By default, GCTA will use equal variances of all the components as the starting values if this option is not specified. The default option is 0, i.

## Incorporating LASSO effects into a mixed model for quantitative trait loci detection

The default number is if this option is not specified. If the phenotypic value is coded as 0 or 1, then it will be recognized as a case-control study 0 for controls and 1 for cases. Missing value should be represented by "-9" or "NA". For example, --mpheno 2 tells GCTA to take the second trait for analysis the fourth column of the file. Apart from estimating the genetic variance, this command tells GCTA to estimate the variance of genotype-environment GE interaction.

You can fit multiple environmental factors simultaneously. The main effects of an environmental factor will be included in the model as fixed effects and the GE interaction effects will be treated as random effects. NOTE: the design matrix of the overall mean in the model which is a vector of all ones is always a linear combination of the design matrix of a discrete environmental factor so that not all the main effects fixed effects are estimable.

GCTA will always constrain the main effect of the first level to be zero and the main effect of any other level represents its difference in effect compared to the first level. For example, if you fit sex as an environmental factor, GCTA will fit only one main effect in the model, i. Each discrete covariate is recognized as a categorical factor with several levels. The levels of each factor can be represented by a single character, word or numerical number. NOTE: the design matrix of the mean in the model which is a vector of all ones is always a linear combination of the design matrix of a discrete covariate so that not all the effects of the levels or classes, e.

GCTA will always constrain the effect of the first level to be zero and the effect of any other level represents its difference in effect compared to the first level. Each quantitative covariate is recognized as a continuous variable. All the diagonal elements need to be positive. You can also test multiple components simultaneously, e. See FAQ 1 for more details. The prevalence should be estimated from a general population in literatures rather than that estimated from the sample.

If there are multiple GRMs included in the REML analysis, there will be multiple rows for the genetic variance as well as their ratios to phenotypic variance with the names of V 1 , V 2 , …. This option is actually to predict the total genetic effect called "breeding value" in animal genetics of each individual attributed by the aggregative effect of the SNPs used to estimate the GRM.

Method for estimating the variance explained by all SNPs : Yang et al. Method for estimating the variance explained by all SNPs using case-control data : Lee et al.

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Method for partitioning the genetic variance captured by all SNPs onto chromosomes and genomic segments : Yang et al. Zaitlen et al. The main advantage of this method is that it allows us to estimate SNP-based h 2 in family data without having to remove related individuals. The method has now been implemented in GCTA.

This option will set the GRM off-diagonal elements that are below the threshold to 0. It has been updated to save the memory Memory usage less than MB. The Zaitlen et al. PLoS Genet. PubMed ID: ]. It can also be applied to imputed GWAS data. The method is unbiased regardless the properties e. MAF and LD of the underlying causal variants. The analysis involves four steps. Option 1 is preferred because it is shown in Evans et al. Method paper : Yang et al. Nature Genetics, — Details of the method can be found in Zhu et al.

Note: the memory usage of --make-grm-d is same with --make-grm. Output file format: test. Output format: test. Am J Hum Genet, These options are designed to perform a bivariate GREML analysis to estimate the genetic crrelation between two quantitative traits, between two disease traits binary from case control studies, and between a quantitative trait and a binary disease trait.

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The analysis will output the estimated genetic variance for each trait captured by the SNPs and the genetic covariance betwen traits. The phenotype file is specified by the option --pheno as described in univariate REML analysis. All the options for univariate REML analysis are still valid here except --mpheno , --gxe , --prevalence , --reml-lrt , --reml-no-lrt and --blup-snp. All the input files are in the same format as in univariate REML analysis. However, if the traits were measured on different individuals e. You could also specify this option to exclude the residual covariance at all time.

Note that not all the analyses can converge with this option. Nature, Bioinformatics, Although the online version of GCTA power calculator is available, I think it would still be useful for some users to have the R functions below. Reference: Visscher et al. PLoS Genetics, 10 4 : e Haseman-Elston HE regression is a moment-based method for estimating the heritability. Nature Genetics, Credits: Longda Jiang method, simulation and analysis , Zhili Zheng method, software and analysis and Jian Yang method and overseeing.

We have applied fastGWA to 2, traits on , array-genotyped and imputed individuals and 2, traits on 49, whole-exome-sequenced WES individuals in the UK Biobank. Jiang et al. Note:1 The full-dense GRM can be generated by the --make-grm or --make-grm-part option see the GRM page ; 2 We also have an R-script to generate a family relatedness matrix FAM, the sparse GRM constructed from expected relatedness coefficients between related individuals , without the need of calculating a full-dense GRM.

The sparse format can be generated from SNP data using the --make-bK-sparse option described above or from pedigree information using our R-script.

If the --grm-sparse flag is not specified, --fastGWA will run a linear regression analysis that does not account for relatedness. The default value is 1. The following options are designed to perform an MLM based association analysis. Previous data management options such as --keep , --extract and --maf , REML analysis options such as --reml-priors , --reml-maxit and --reml-no-constrain and multi-threading option --thread-num are still valid for this analysis. For the ease of computation, the genetic variance, var g , is estimated based on the null model i.

The var g - will be re-estimated each time when a chromosome is excluded from calculating the GRM. By default, in order to improve computational efficiency, the phenotype will be adjusted by the mean and covariates, and the adjusted phenotype will subsequently be used for testing SNP association. However, if SNPs are correlated with the covariates, pre-adjusting the phenotype by the covariates will probably cause loss of power.

If this option is specified, the covariates will be fitted together with the SNP for association test. Efficient calculation of fine structure isotope patterns via Fourier transforms of simplex-based elemental models. Bayesian Sparse Factor Analysis model for the inference of pathways responsive to drug treatment. Lasso and elastic-net penalized Cox's regression in high dimensions models using the cocktail algorithm.

Algorithm for searching the space of Gaussian directed acyclic graphical models through moment fractional Bayes factors. Measuring functional diversity FD from multiple traits, and other tools for functional ecology. Classifies implicit trading activity from market quotes and computes the probability of informed trading. Catalogues of resolution IV run 2-level fractional factorials up to 33 factors that do have 5-letter words.

A genetic algorithm approach to determine stratum boundaries and sample sizes of each stratum in stratified sampling. A toolbox for the analysis of categorical data in social sciences, and especially Geometric Data Analysis. Quantification of the effect of geographic versus environmental isolation on genetic differentiation.

A visual, intuitive, easy to use software giving access to a new type of information buried into your microarray data. Bayesian semi and nonparametric growth curve models that additionally include multiple membership random effects. Interval estimation for the parameters of linear models with heteroskedasticity Wild Bootstrap. Construction of regular and irregular histograms with different options for automatic choice of bins.

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R codes for estimating water retention and infiltration model parameters using experimental data. Work with Hyperspectral Data, i. Study Design and Data Analysis in the presence of error-prone diagnostic tests and self-reported outcomes. Inference about the standardized mortality ratio when evaluating the effect of a screening program on survival. Threshold regression that fits the randomized drift inverse Gaussian distribution to survival data.

Nonparametric kernel estimation of the distribution function. Bandwidth selection and estimation of related functions. Kaplan - Meier estimator with constraints for right censored data — a recursive computational algorithm. Kaplan-Meier multiple imputation for the analysis of cumulative incidence functions in the competing risks setting. Data sets and functions with "Analyzing Linguistic Data: A practical introduction to statistics". Functions and datasets to accompany the book "Le logiciel R: Maitriser le langage, Effectuer des analyses statistiques" french.

Three methods to identify differentially expressed gene sets, ordinary least square test, Multivariate Analysis Of Variance test with n contrasts and Random forest. Model species distributions by estimating the probability of occurrence using presence-only data. Simultaneous confidence intervals for multinomial proportions according to the method by Sison and Glaz.

Polygenic modeling with Bayesian sparse linear mixed models. PLoS Genet. A fast algorithm for BayesB type of prediction of genome-wide estimates of genetic value. Carbonetto, P. Scalable variational inference for Bayesian variable selection in regression, and its accuracy in genetic association studies. Bayesian Anal. Logsdon, B. A variational Bayes algorithm for fast and accurate multiple locus genome-wide association analysis.

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BMC Bioinformatics 11 , 58 Jakobsdottir, J. Bulik-Sullivan, B. LD Score regression distinguishes confounding from polygenicity in genome-wide association studies. Ridker, P. Rationale, design, and methodology of the Women's Genome Health Study: a genome-wide association study of more than 25, initially healthy American women. Variance component estimation by resampling. Matilainen, K. Employing a Monte Carlo algorithm in Newton-type methods for restricted maximum likelihood estimation of genetic parameters. Legarra, A. Computing strategies in genome-wide selection.

Dairy Sci. VanRaden, P. Efficient methods to compute genomic predictions. Sawcer, S. Genetic risk and a primary role for cell-mediated immune mechanisms in multiple sclerosis. Nature , — Aulchenko, Y. Bioinformatics 23 , — Price, A. Principal components analysis corrects for stratification in genome-wide association studies. Devlin, B. Genomic control for association studies. Biometrics 55 , — Wray, N. Pitfalls of predicting complex traits from SNPs. Campbell, C. Demonstrating stratification in a European American population. Tucker, G.

Stephens, M. Bayesian statistical methods for genetic association studies.

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A novel variational Bayes multiple locus Z -statistic for genome-wide association studies with Bayesian model averaging. Bioinformatics 28 , — Styrkarsdottir, U. Nonsense mutation in the LGR4 gene is associated with several human diseases and other traits. Do, C. Web-based genome-wide association study identifies two novel loci and a substantial genetic component for Parkinson's disease.

Hayeck, T. Mixed model with correction for case-control ascertainment increases association power. Speed, D. Genome Res.