{ "cells": [ { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [], "source": [ "%matplotlib inline\n", "from numpy import linspace, log, exp\n", "from numpy.random import normal\n", "from scipy.stats import chisqprob\n", "from lmfit import Model\n", "import seaborn as sns\n", "sns.set_style('ticks')\n", "sns.set_context('notebook', font_scale=1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# The likelihood ratio test: Python implementation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For two models, one nested in the other (meaning that the nested model estimated parameters are a subset of the nesting model), the test statistic $D$ is (based on [this](http://www.stat.sc.edu/~habing/courses/703/GLRTExample.pdf)):\n", "\n", "$$\n", "\\Lambda = \\Big( \\Big(\\frac{\\sum{(X_i - \\hat{X_i}(\\theta_1))^2}}{\\sum{(X_i - \\hat{X_i}(\\theta_0))^2}}\\Big)^{n/2} \\Big) \\\\\n", "D = -2 log \\Lambda \\\\\n", "lim_{n \\to \\infty} D \\sim \\chi^2_{df=\\Delta}\n", "$$\n", "\n", "where $\\Lambda$ is the likelihood ratio, $D$ is the statistic, $X_{i}$ are the data points, $\\hat{X_i}(\\theta)$ is the model prediction with parameters $\\theta$, $\\theta_i$ is the parameters estimation for model $i$, $n$ is the number of data points and $\\Delta$ is the difference in number of parameters between the models." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The python implementation below compares between two `lmfit.ModelFit` objects. These are the results of fitting models to the same data set using the [`lmfit` package](lmfit.github.io/lmfit-py/). \n", "\n", "The function compares between model fit `m0` and `m1` and assumes that `m0` is nested in `m1`, meaning that the set of varying parameters of `m0` is a subset of the varying parameters of `m1`. The property `chisqr` of the `ModelFit` objects is the sum of the square of the residuals of the fit. `ndata` is the number of data points. `nvarys` is the number of varying parameters." ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def lrtest(m0, m1, alfa=0.05):\n", " \"\"\"Perform a likelihood ratio test on two nested models.\n", " \n", " Input:\n", " \n", " `m0` is nested in `m1`.\n", " `alfa` is the test significance level (default 5%).\n", " \n", " Output:\n", " \n", " prefer_m1 - a boolean, should we prefer `m1` over `m0`.\n", " pval - the test p-value\n", " D - the test statistic \n", " ddf - the number of degrees of freedom\n", " \"\"\"\n", " n0 = m0.ndata\n", " k0 = m0.nvarys\n", " chisqr0 = m0.chisqr\n", " assert chisqr0 > 0\n", " n1 = m1.ndata\n", " assert n0 == n1\n", " k1 = m1.nvarys\n", " chisqr1 = m1.chisqr\n", " assert chisqr1 > 0\n", " Lambda = (m1.chisqr / m0.chisqr)**(n0 / 2.)\n", " D = -2 * log( Lambda )\n", " assert D > 0\n", " ddf = k1 - k0\n", " assert ddf > 0\n", " pval = chisqprob(D, ddf)\n", " prefer_m1 = pval < alfa\n", " return prefer_m1, pval, D, ddf" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Test on a simple model\n", "\n", "We test the function on data generated from the equation:\n", "\n", "$$\n", "y = b + e^{-a t} + N(0, \\sigma^2)\n", "$$\n", "\n", "where $a$ and $b$ are the parameters, $t$ is the variable, and $N$ is the normal distribution.\n", "\n", "We fit a nesting model `model_fit1` (the alternative hypothesis of the test). This model estimates both $a$ and $b$.\n", "We also fit a nested model `model_fit0` (the nul hypothesis of the test) in which either $a$ or $b$ is fixed at an initial value.\n", "We than plot both model fits, print the estimated parameters, the test statistic and the p-value of the test." ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# test lrt\n", "def lrtest_test(a, b, a_init, b_init, a_vary, b_vary, sig=0.1, N=100, alfa=0.05):\n", " assert a_vary or b_vary\n", " assert not(a_vary and b_vary)\n", " \n", " t = linspace(0,1,N)\n", " f = lambda t,a,b: b + exp(-a*t)\n", " data = f(t,a,b) + normal(0, sig, N)\n", " fig, ax = subplots(1,2,sharex=True,sharey=True,figsize=(15,5))\n", " print \"real:\", a,b\n", " model = Model(f)\n", " params = model.make_params(a=a_init, b=b_init)\n", "\n", " two_var_fit = model.fit(data, t=t, params=params)\n", " two_var_fit.plot_fit(ax=ax[1])\n", " ax[1].set_title(\"Two variables\")\n", " #model_fit1.plot_residuals(ax[1])\n", " print \"Two variables:\",two_var_fit.best_values\n", "\n", " params['a'].set(vary=a_vary)\n", " params['b'].set(vary=b_vary)\n", " one_var_fit = model.fit(data, t=t, params=params)\n", " one_var_fit.plot_fit(ax=ax[0])\n", " #model_fit0.plot_residuals(ax[0])\n", " ax[0].set_title(\"One variable\")\n", " print \"One variable:\",one_var_fit.best_values\n", "\n", " prefer_m1,pval,D,ddf = lrtest(one_var_fit, two_var_fit, alfa)\n", " print \"pval=%.2g, D=%.2g, ddf=%d\" % (pval, D, ddf)\n", " print \"Decision with significance level %.2g:\" % alfa,\n", " if prefer_m1:\n", " print \"Two variable model\"\n", " else:\n", " print \"One variable model\"\n", " return t,data" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "real: 1 1\n", "Two variables: {'a': 0.86775531514445625, 'b': 0.97560666838937937}\n", "One variable: {'a': 1, 'b': 1.0118956348766281}\n", "pval=0.19, D=1.7, ddf=1\n", "Decision with significance level 0.05: One variable model\n" ] }, { "data": { "image/png": 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07AwpqekENYtSPiofRcSDleiKYEEDY/Ffu3lw4iLWJ/jR47X3OVu+9PltqUFl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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lrtest_test(1,1,1,1,False,True);" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "real: 1 1\n", "Two variables: {'a': 0.88198851749015894, 'b': 0.95415310004056564}\n", "One variable: {'a': 1.0278836663608819, 'b': 1}\n", "pval=0.042, D=4.1, ddf=1\n", "Decision with significance level 0.05: Two variable model\n" ] }, { "data": { "image/png": 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vn8bWyl9Sa1fSWRnZ8PEBrOr/uM/j3S6L5x7owLvfreOrXzfy3xd/5dZ/NSZK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\n/flnzl/hi898RHS3cKaPSWX2hAyy0xNwOBwB+ey99aOk6fCdnMce4cD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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lrtest_test(1,1,1,1,True,False);" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "real: 1 1\n", "Two variables: {'a': 1.0842648241878579, 'b': 1.0287763184769507}\n", "One variable: {'a': -0.5729794466048922, 'b': 0}\n", "pval=1.2e-72, D=3.2e+02, ddf=1\n", "Decision with significance level 0.05: Two variable model\n" ] }, { "data": { "image/png": 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pItGmO4IuF85qY6pcJiIiiSKYTKtRuTo/63INTw0cTZcGHVmxczUjpzzGP+e+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\nRJBbTXd43+xgZ0UxrZ1tJI9J4jfmb2JjzirGxSe5XZ4n6R6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LH7G3+jDlt6sBSIxLYO2c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\nKPP/AZj4v75IUpF8AAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lrtest_test(1,1,0,0,True,False);" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "real: 1 1\n", "Two variables: {'a': 0.9452008165850978, 'b': 0.98442967528266856}\n", "One variable: {'a': 0, 'b': 0.63175416158525943}\n", "pval=5.3e-35, D=1.5e+02, ddf=1\n", "Decision with significance level 0.05: Two variable model\n" ] }, { "data": { "image/png": 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kRykjRTJfVnQEe9x+a8S1d+l+qlbVlhHiXtm83YeI5BY3ZmR17rGWBSO7DOeR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\nujfpQqeiduR5E+6ixZWPNdURdACMMVcB+bZtPxb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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lrtest_test(1,1,0,0,False,True);" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "real: 1 1\n", "Two variables: {'a': 0.98872695387898135, 'b': 0.98522534209144352}\n", "One variable: {'a': 0, 'b': 0.62084932431698936}\n", "pval=7.3e-35, D=1.5e+02, ddf=1\n", "Decision with significance level 0.05: Two variable model\n" ] }, { "data": { "image/png": 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1cuc/xI+//RyyMomIJLukrgjGE00bLSIiyaZjw2O4r/8oTjy6Eyt/XM1ts+5m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\n1OdSRgZGFUEROUgoKjJlhWS4wqaiLiBAxGb9rCh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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lrtest_test(1,1,0,1,False,True);" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "real: 1 1\n", "Two variables: {'a': 1.0224399232088139, 'b': 0.99340603684830542}\n", "One variable: {'a': 1.0446412443876858, 'b': 1}\n", "pval=0.8, D=0.065, ddf=1\n", "Decision with significance level 0.05: One variable model\n" ] }, { "data": { "image/png": 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ozrXWbg5xccJeOGbkvqMpPP/9m6zdvZ7KpStw/0X9qZtUK9t9lZEiIvlT0HwM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\nllD5cTVQP+pmWN/0+iGkiWPo081+56mGhoqI+MC7FLa7haWwNe+hbTw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gy9TPT9oBfLuh\npziiWZaVSv0Hy7yGlRx1vm+G8tEe5aM9ykf7lJH2KCPt81c+hk1DUERERERERPwjnIaGioiIiIiI\niB+oISgiIiIiIhJh1BAUERERERGJMGoIioiIiIiIRBg1BEVERERERCKMGoIiIiIiIiIRRg1BkTBj\nWVYvy7JeDnUdIiIiTqOMFPGdGoIi4SceGBPqIkRERBxIGSniIzUERcLPr4FBlmX9b6gLERERcRhl\npIiP1BAUCT/fB6qMMZ8PdSEiIiIOo4wU8ZEagiLhxxXqAkRERBxKGSniIzUERUREREREIowagiLh\npwaIDnURIiIiDqSMFPGRGoIi4aca2GtZ1vJQFyIiIuIwykgRH7k8Hk+oaxAREREREZEg0jeCIiIi\nIiIiEUYNQRERERERkQijhqCIiIiIiEiEUUNQREREREQkwqghKCIiIiIiEmHUEBQREREREYkwagiK\niIiIiIhEGDUERUREREREIsz/B4yZwWZTTD3vAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lrtest_test(1,1,0,1,True,False);" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "real: 1 1\n", "Two variables: {'a': 0.87089207465018115, 'b': 0.96616302997657855}\n", "One variable: {'a': -0.58724547087449808, 'b': 0}\n", "pval=5e-74, D=3.3e+02, ddf=1\n", "Decision with significance level 0.05: Two variable model\n" ] }, { "data": { "image/png": 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bzMu9r9E32Q/A8bGjGS5Z7sj2fISTGWkATsMI+1Yn1LaGYdC2/lxa//V7AFxs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\n8qQ6ePSD+4HwaqadfaN09I4yOjYdsX1n3xjfeObU6445k22UFwT4sw/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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lrtest_test(1,1,1,0,True,False);" ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "real: 1 1\n", "Two variables: {'a': 1.0285746095656456, 'b': 1.0174174562149918}\n", "One variable: {'a': 1, 'b': 1.0099552907882328}\n", "pval=0.77, D=0.086, ddf=1\n", "Decision with significance level 0.05: One variable model\n" ] }, { "data": { "image/png": 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7bA972uvY2LiFzNX3ktN7GICDtodMjKCyGEWFLLp6BUXmvGH3OdruJFq7SETG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\nCoIiIiIiIiJxRkFQREREREQkzvx/Gy8McUDif2wAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lrtest_test(1,1,1,0,False,True);" ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "real: 1 1\n", "Two variables: {'a': 1.0888695144064144, 'b': 1.0317987702059201}\n", "One variable: {'a': 2, 'b': 1.2079536785181528}\n", "pval=3.3e-07, D=26, ddf=1\n", "Decision with significance level 0.05: Two variable model\n" ] }, { "data": { "image/png": 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Lsr5x+fxG4CEgF1gJ3GdZVsWdwlREJIAKZoAumHJaREREnJSRRfPnE8FBwH7LsnoAfYHX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\n+c67vs7DN3+Cd1XfTmFyLofPWDDDaVf5GFjhlJG6Iyhh486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mhc2H2lC/irWQpl6x9Aye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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lrtest_test(1,1,2,1,False,True);" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "## Compare with R\n", "\n", "Here we compare the Python implementation with the R implementation - `lmtest::lrtest`. The data is generated from a quadratic polynomial:\n", "\n", "$$\n", "y = at^2 + bt + c + N(0,\\sigma^2)\n", "$$\n", "\n", "and we fit two models - the nested model is a linear function and the nesting model is a quadratic polynomial.\n", "\n", "### Note\n", "\n", "In order to get this to work you will need to make sure the `lmtest` package is installed (don't install via RStudio - use regular command line R) and that the `R_HOME` and `R_USER` environment variable are set to where R is running from the command line and where the packages are installed to when running from the command line." ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The rpy2.ipython extension is already loaded. To reload it, use:\n", " %reload_ext rpy2.ipython\n" ] } ], "source": [ "%load_ext rpy2.ipython" ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "C:/Progra~1/R/R-3.0.3\n", "C:\\Users\\yoavram\\R\n" ] } ], "source": [ "!echo %R_HOME%\n", "!echo %R_USER%" ] }, { "cell_type": "code", "execution_count": 47, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "py 0.0179882275173\n", "R 0.0179882275173\n", "py 0.537531566876\n", "R 0.537531566876\n", "py 0.269018479047\n", "R 0.269018479047\n", "py 0.495471455839\n", "R 0.495471455839\n", "py 0.546745762151\n", "R 0.546745762151\n", "py 0.662389288421\n", "R 0.662389288421\n", "py 0.534273698101\n", "R 0.534273698101\n", "py 0.0422040728343\n", "R 0.0422040728343\n", "py 0.633756809221\n", "R 0.633756809221\n", "py 0.203276605564\n", "R 0.203276605564\n" ] } ], "source": [ "for _ in range(10):\n", " N = 100\n", " sig = 0.1\n", " a,b,c = 0.1,1,1\n", " t = linspace(0,1,N)\n", " f = lambda t,a,b,c: c + b*t + a*t**2\n", " data = f(t,a,b,c) + normal(0, sig, N)\n", " model = Model(f)\n", " params = model.make_params(a=0, b=0, c=0)\n", "\n", " model_fit1 = model.fit(data, t=t, params=params)\n", "\n", " params['a'].set(vary=False)\n", " model_fit0 = model.fit(data, t=t, params=params)\n", "\n", " prefer_m1,pval,D,ddf = lrtest(model_fit0, model_fit1)\n", " print \"py\",\n", " print pval\n", "\n", " print \"R \",\n", " %Rpush t data\n", " %R library(lmtest)\n", " %R lm1=lm(data~t)\n", " %R lm2=lm(data~t+I(t^2))\n", " %R pvalue = lrtest(lm2,lm1)[2,5]\n", " %Rpull pvalue\n", " print pvalue[0]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## License\n", "\n", "This notebook was written by [Yoav Ram](http://www.yoavram.com) and [Uri Obolski](https://sites.google.com/site/hadanylab/people/uri-obolski). \n", "The notebook was written to facilitate the discussion on [lmfit mailing-list](https://groups.google.com/forum/?fromgroups#!topic/lmfit-py/NuQsmZ6D4vY).\n", "The latest version can be found at [ipython.yoavram.com](http://nbviewer.ipython.org/github/yoavram/ipython-notebooks/blob/master/likelihood%20ratio%20test.ipynb). \n", "\n", "The code is released with a CC-BY-SA 3.0 license." ] } ], "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": "2.7.8" } }, "nbformat": 4, "nbformat_minor": 0 }