{ "cells": [ { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Setting up" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "slideshow": { "slide_type": "notes" } }, "outputs": [], "source": [ "# activiate inline plotting\n", "%matplotlib inline\n", "from setup import *" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [], "source": [ "#import data\n", "#the data used in this study have been pre-converted into an hdf5 file. \n", "#to preprocess your own data, please use limix command line brinary\n", "file_name = tutorial_data.get_file('arab107')\n", "geno_reader = gr.genotype_reader_tables(file_name)\n", "pheno_reader = phr.pheno_reader_tables(file_name)\n", "\n", "#the data object allows to query specific genotype or phenotype data\n", "dataset = data.QTLData(geno_reader=geno_reader,pheno_reader=pheno_reader)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "#flowering phenotypes\n", "phenotype_names = ['5_FT10','6_FT16','7_FT22']\n", "phenotype_ID = phenotype_names[1]" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "loaded 192 samples, 3 phenotypes, 21456 snps\n" ] } ], "source": [ "#load first flowering phenotype\n", "#phenotype_query = \"(phenotype_ID=='%s')\" % phenotype_ID\n", "phenotype_query = \"(phenotype_ID in %s)\" % str(phenotype_names)\n", "\n", "data_subsample = dataset.subsample_phenotypes(phenotype_query=phenotype_query,\n", " intersection=True)\n", "\n", "sample_relatedness_unnormalized = data_subsample.getCovariance(normalize=True,center=True)\n", "\n", "sample_relatedness = sample_relatedness_unnormalized/ \\\n", " sample_relatedness_unnormalized.diagonal().mean()\n", "\n", "if 1:\n", " #subsample for speed?\n", " Is = sp.arange(dataset.geno_pos.shape[0])\n", " #take every 10th SNP\n", " Is = Is[::10]\n", " data_subsample = data_subsample.subsample(cols_geno = Is)\n", "\n", " \n", "#get variables we need from data\n", "snps = data_subsample.getGenotypes(center=False,unit=False)\n", "position = data_subsample.getPos()\n", "position,chromBounds = data_util.estCumPos(position=position,offset=100000)\n", "\n", "phenotypes,sample_idx = data_subsample.getPhenotypes(phenotype_query=phenotype_query,\n", " intersection=True) \n", "phenotype_std = preprocess.rankStandardizeNormal(phenotypes.values)\n", "\n", "N = snps.shape[0]\n", "S = snps.shape[1]\n", "P = phenotypes.shape[1]\n", "print \"loaded %d samples, %d phenotypes, %s snps\" % (N,P,S)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Standard linear regression" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [], "source": [ "#run linear regression\n", "covs = None #covariates\n", "searchDelta = False #specify if delta should be optimized for each SNP\n", "test=\"lrt\" #specify type of statistical test\n", "\n", "# Running the analysis\n", "# when cov are not set (None), LIMIX considers an intercept (covs=SP.ones((N,1)))\n", "\n", "lm = qtl.test_lm(snps=snps,pheno=phenotype_std,\n", " covs=covs, test=test)\n", "\n", "pvalues_lm = lm.getPv() # 1xS vector of p-values (S=X.shape[1])#convert P-values to a DataFrame for nice output writing:\n", "#pvalues_lm[sp.isnan(pvalues_lm)] = 1.0\n", "pvalues_lm = pd.DataFrame(data=pvalues_lm.T,index=data_subsample.geno_ID,\n", " columns=phenotypes.columns)\n" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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fOHZ+D3IRyueI7wyjGahcjAujXF9+h4uLqZGtoItwE2aziTOPEZZJLMZszb+7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nMCU9mM75OiqShypvapsFqlTGFECqpOR0G7TaFyo5HJZJo1U9PlME0DdV2xbKQKdU3afoosSRFF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\n4ViKeF4eoS8fb5rybR4hnT8vc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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Genome-wide manhatton plots for one phenotype:\n", "plot_manhattan(position['pos_cum'],pvalues_lm[phenotype_ID].values,chromBounds)\n", "\n", "\n" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/local/Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/matplotlib/axes/_subplots.py:69: MatplotlibDeprecationWarning: The use of 0 (which ends up being the _last_ sub-plot) is deprecated in 1.4 and will raise an error in 1.5\n", " mplDeprecation)\n" ] }, { "data": { "image/png": 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s3KgyDBEREb+IrlHOl5rlaOowS1o1NsLJk8HHn/kMXHKJt/GIiIhI/MI78r74YvDucPRx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\n7dtHzrRpeDz8MDEDBsh8SCGcqLa2lpzly+k/fz69AwPJX7+ewePGyWC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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# the formal test QQ-plots\n", "pl.figure(figsize=[12,6])\n", "for ip in xrange(len(phenotype_names)):\n", " plt = pl.subplot(1,3,ip)\n", " qqplot(pvalues_lm[phenotype_names[ip]].values)\n", " pl.title(phenotype_names[ip])\n", "\n", "#plt = pl.subplot(1,2,2)\n", "#qqplot(pvalues_lmm[phenotype_ID].values)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Accounting for population structure based on PCA" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "ename": "ImportError", "evalue": "No module named sklearn.decomposition.pca", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mImportError\u001b[0m Traceback (most recent call last)", "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0;31m#compute principal components from the SNP data\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m \u001b[0;32mimport\u001b[0m \u001b[0msklearn\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdecomposition\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mpca\u001b[0m \u001b[0;32mas\u001b[0m \u001b[0mpca\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 3\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0;31m#import data: 1000 genomes\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0;31m#the data used in this study have been pre-converted into an hdf5 file.\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;31mImportError\u001b[0m: No module named sklearn.decomposition.pca" ] } ], "source": [ "#compute principal components from the SNP data\n", "import sklearn.decomposition.pca as pca\n", "\n", "#import data: 1000 genomes\n", "#the data used in this study have been pre-converted into an hdf5 file. \n", "#to preprocess your own data, please use limix command line brinary\n", "genotype_file = './../data/1000g/1000g_chrom20_snps.hdf5'\n", "annotation_file = './../data/1000g/1000g_sample_annotation.hdf5'\n", "geno_reader_1000G = gr.genotype_reader_tables(genotype_file)\n", "#read annotation\n", "fa = h5py.File(annotation_file,'r')\n", "population_1000G = fa['Population'][:]\n", "#select YRI and CEU populations\n", "#Ipop = (population_1000G=='CEU') | (population_1000G=='YRI')\n", "Ipop = (population_1000G=='CEU') | (population_1000G=='YRI') | (population_1000G=='GBR') | (population_1000G=='FIN')\n", "\n", "population_1000G = population_1000G[Ipop]\n", "M1000G = geno_reader_1000G.getGenotypes()[Ipop]\n", "pos1000G = geno_reader_1000G.getPos()['pos']\n", "\n", "pc = pca.PCA()\n", "pc_snps = pc.fit_transform(M1000G)\n", "\n", "pl.figure(figsize=(15,5))\n", "pl.subplot(1,3,1)\n", "pl.plot(pc_snps[:,0],pc_snps[:,1],'k.')\n", "pl.xlabel('PCA1')\n", "pl.ylabel('PCA2')\n", "\n", "#plot the proportion of variance explained by each PC:\n", "pl.subplot(1,3,2)\n", "pl.plot(pc.explained_variance_ratio_,\".\")\n", "pl.xlabel(\"number PCs\")\n", "pl.ylabel(\"variance explained\")\n", "\n", "pl.subplot(1,3,3)\n", "pl.plot(pc.explained_variance_ratio_.cumsum(),\".\")\n", "pl.xlabel(\"number PCs\")\n", "pl.ylabel(\"total variance explained\")\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [ "#back to arabidopsis:\n", "pc = pca.PCA()\n", "pc_snps = pc.fit_transform(snps)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [ "#pc_snps = pc.transform(snps)\n", "pl.plot(pc_snps[:,0],pc_snps[:,1],'k.')\n", "pl.xlabel('PCA1')\n", "pl.ylabel('PCA2')" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [ "#plot the proportion of variance explained by each PC:\n", "pl.figure(figsize=(10,5))\n", "pl.subplot(1,2,1)\n", "pl.plot(pc.explained_variance_ratio_,\".\")\n", "pl.xlabel(\"number PCs\")\n", "pl.ylabel(\"variance explained\")\n", "\n", "pl.subplot(1,2,2)\n", "pl.plot(pc.explained_variance_ratio_.cumsum(),\".\")\n", "pl.xlabel(\"number PCs\")\n", "pl.ylabel(\"total variance explained\")" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [ "covs_with_pcs = sp.concatenate([sp.ones([snps.shape[0],1]),pc_snps],axis=1)\n", "\n", "n_components = [0,1,5,10,30]\n", "\n", "\n", "pl.figure(figsize=[12,20])\n", "#run a mixed model with increasing numbers of PCs\n", "ip = 1\n", "for i in n_components:\n", " _covs = covs_with_pcs[:,0:i+1]\n", " lm = qtl.test_lm(snps=snps,pheno=phenotype_std,covs=_covs, test=test)\n", " pvalues_lm = pd.DataFrame(data=lm.getPv().T,index=data_subsample.geno_ID,\n", " columns=phenotypes.columns)\n", " for phenotype_ID in phenotype_names:\n", " plt = pl.subplot(len(n_components),len(phenotype_names),ip)\n", " qqplot(pvalues_lm[phenotype_ID].values) \n", " ip+=1\n", " pl.title('%s: %d PCs' % (phenotype_ID,i))\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Linear mixed models" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [ "#estimate sample relatedness:\n", "pl.imshow(sample_relatedness,aspect='auto') \n" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [ "#run a linear mixed model and a standard lmm for comparison\n", "covs = None #covariates\n", "searchDelta = False #specify if delta should be optimized for each SNP\n", "test=\"lrt\" #specify type of statistical test\n", "\n", "lm = qtl.test_lm(snps=snps,pheno=phenotype_std,\n", " covs=covs, test=test)\n", "pvalues_lm = lm.getPv() # 1xS vector of p-values (S=X.shape[1])#convert P-values to a DataFrame for nice output writing:\n", "pvalues_lm = pd.DataFrame(data=pvalues_lm.T,index=data_subsample.geno_ID,\n", " columns=phenotypes.columns)\n", "\n", "lmm = qtl.test_lmm(snps=snps,pheno=phenotype_std,\n", " K=sample_relatedness,covs=covs, test=test)\n", "\n", "pvalues_lmm = lmm.getPv() # 1xS vector of p-values (S=X.shape[1])#convert P-values to a DataFrame for nice output writing:\n", "pvalues_lmm = pd.DataFrame(data=pvalues_lmm.T,index=data_subsample.geno_ID,\n", " columns=phenotypes.columns)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [ "pl.figure(figsize=[15,5])\n", "plt = pl.subplot(1,2,1)\n", "plot_manhattan(position['pos_cum'],pvalues_lm[phenotype_ID].values,chromBounds)\n", "pl.title('LM')\n", "plt = pl.subplot(1,2,2)\n", "plot_manhattan(position['pos_cum'],pvalues_lmm[phenotype_ID].values,chromBounds)\n", "pl.title('LMM')\n", "\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# the formal test QQ-plots\n", "pl.figure(figsize=[12,6])\n", "for ip in xrange(len(phenotype_names)):\n", " plt = pl.subplot(1,3,ip)\n", " qqplot(pvalues_lmm[phenotype_names[ip]].values)\n", " pl.title(phenotype_names[ip])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Proximal contamination " ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [], "source": [ "#run mixed model on a per chromosome basis:\n" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [], "source": [ "pv_lmm2 = []\n", "for i_chr in xrange(5):\n", " I_chrom = (position['chrom']==(i_chr+1)).values\n", " snps_chrom = snps[:,I_chrom]\n", " snps_rest = snps[:,~I_chrom]\n", " K_rest = sp.dot(snps_rest,snps_rest.T)\n", " lmm_window = qtl.test_lmm(snps=snps_chrom,pheno=phenotype_std,\n", " K=K_rest,covs=covs, test=test)\n", "\n", " pv_ = lmm_window.getPv() # 1xS vector of p-values (S=X.shape[1])#convert P-values to a DataFrame for nice output writing:\n", " pv_lmm2.append(pv_)\n", "pv_lmm2 = sp.concatenate(pv_lmm2,axis=1)\n", "pvalues_lmm2 = pd.DataFrame(data=pv_lmm2.T,index=data_subsample.geno_ID,\n", " columns=phenotypes.columns)" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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N2HZGhV7eT7dlp1KqYZ0BasJXN/1W/C1/3/1WEIvzNOD9uNQroY/fV7kM+P0S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NWqJtbkWk3F8+cbXqbvx0xwRqkDUUQITq2mQ9NoRKkoMvMSk8WUhgscooh4fXxqQ2tECiAXaG/5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RlD1+kcu73d4O5ui9UqRFEU6HZd+D6NNmGYYreLMR4H+PzzniCFdHQ6FrKskKbX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\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p4d1WTSkjWjJJXv4uE5HlEvjVKkWa5s6fPNFteylSs6pqFjYrLqfvdpvgCjD+m3yfALU8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\nKFGiRImXCGXgVaJEiRIlSpQo8RLh/wBDwCrdvCP41gAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#plot things for one phenotype:\n", "\n", "phenotype_ID = '5_FT10'\n", "\n", "pl.figure(figsize=[10,15])\n", "plt = pl.subplot(3,1,1)\n", "plot_manhattan(position['pos_cum'],pvalues_lm[phenotype_ID].values,chromBounds)\n", "pl.title('LM')\n", "plt = pl.subplot(3,1,2)\n", "plot_manhattan(position['pos_cum'],pvalues_lmm[phenotype_ID].values,chromBounds)\n", "pl.title('LMM')\n", "plt = pl.subplot(3,1,3)\n", "plot_manhattan(position['pos_cum'],pvalues_lmm2[phenotype_ID].values,chromBounds)\n", "pl.title('LMM select')\n" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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LFy6g5Uat17Vr17B3715kZ2e7/X4iZ3orJ3TVidG+vFDey3T27Nndv99ad3KUUzpRUaLh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\nvYelqmHDhgEAkpKSsHjxYhw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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pl.plot(-sp.log10(pvalues_lmm2[phenotype_ID]),-sp.log10(pvalues_lmm[phenotype_ID]),'.')\n", "ymax = max(pl.xlim()[1],pl.ylim()[1])\n", "pl.plot([0,ymax],[0,ymax],'k--')\n", "pl.xlabel('LMM select')\n", "pl.ylabel('LMM')" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.10" } }, "nbformat": 4, "nbformat_minor": 0 }