{ "cells": [ { "cell_type": "markdown", "id": "49205efd", "metadata": {}, "source": [ "(GLM-robust)=\n", "# GLM: Robust Linear Regression\n", "\n", ":::{post} January 10, 2023\n", ":tags: regression, linear model, robust\n", ":category: beginner\n", ":author: Thomas Wiecki, Chris Fonnesbeck, Abhipsha Das, Conor Hassan, Igor Kuvychko, Reshama Shaikh, Oriol Abril Pla\n", ":::" ] }, { "cell_type": "markdown", "id": "06c2678d", "metadata": {}, "source": [ "# GLM: Robust Linear Regression\n", "\n", "The tutorial is the second of a three-part series on Bayesian *generalized linear models (GLMs)*, that first appeared on [Thomas Wiecki's blog](https://twiecki.io/):\n", "\n", " 1. {ref}`Linear Regression `\n", " 2. {ref}`Robust Linear Regression `\n", " 3. {ref}`Hierarchical Linear Regression `\n", " \n", "In this blog post I will write about:\n", "\n", " - How a few outliers can largely affect the fit of linear regression models.\n", " - How replacing the normal likelihood with Student T distribution produces robust regression.\n", "\n", "In the {ref}`linear regression tutorial ` I described how minimizing the squared distance of the regression line is the same as maximizing the likelihood of a Normal distribution with the mean coming from the regression line. This latter probabilistic expression allows us to easily formulate a Bayesian linear regression model.\n", "\n", "This worked splendidly on simulated data. The problem with simulated data though is that it's, well, simulated. In the real world things tend to get more messy and assumptions like normality are easily violated by a few outliers. \n", "\n", "Lets see what happens if we add some outliers to our simulated data from the last post." ] }, { "cell_type": "markdown", "id": "8a7e7bd7", "metadata": {}, "source": [ "First, let's import our modules." ] }, { "cell_type": "code", "execution_count": 1, "id": "33d93af2", "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "\n", "import arviz as az\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "import pymc as pm\n", "import pytensor\n", "import pytensor.tensor as pt\n", "import xarray as xr" ] }, { "cell_type": "code", "execution_count": 2, "id": "c6efb067", "metadata": {}, "outputs": [], "source": [ "RANDOM_SEED = 8927\n", "rng = np.random.default_rng(RANDOM_SEED)\n", "%config InlineBackend.figure_format = 'retina'\n", "az.style.use(\"arviz-darkgrid\")" ] }, { "cell_type": "markdown", "id": "87df168f", "metadata": {}, "source": [ "Create some toy data but also add some outliers." ] }, { "cell_type": "code", "execution_count": 3, "id": "23188f24", "metadata": {}, "outputs": [], "source": [ "size = 100\n", "true_intercept = 1\n", "true_slope = 2\n", "\n", "x = np.linspace(0, 1, size)\n", "# y = a + b*x\n", "true_regression_line = true_intercept + true_slope * x\n", "# add noise\n", "y = true_regression_line + rng.normal(scale=0.5, size=size)\n", "\n", "# Add outliers\n", "x_out = np.append(x, [0.1, 0.15, 0.2])\n", "y_out = np.append(y, [8, 6, 9])\n", "\n", "data = pd.DataFrame(dict(x=x_out, y=y_out))" ] }, { "cell_type": "markdown", "id": "2ff56f93", "metadata": {}, "source": [ "Plot the data together with the true regression line (the three points in the upper left corner are the outliers we added)." ] }, { "cell_type": "code", "execution_count": 4, "id": "21e7220c", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 511, "width": 711 } }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(7, 5))\n", "ax = fig.add_subplot(111, xlabel=\"x\", ylabel=\"y\", title=\"Generated data and underlying model\")\n", "ax.plot(x_out, y_out, \"x\", label=\"sampled data\")\n", "ax.plot(x, true_regression_line, label=\"true regression line\", lw=2.0)\n", "plt.legend(loc=0);" ] }, { "cell_type": "markdown", "id": "95eb0915", "metadata": {}, "source": [ "## Robust Regression\n", "\n", "### Normal Likelihood\n", "\n", "Lets see what happens if we estimate our Bayesian linear regression model by fitting a regression model with a normal likelihood.\n", "Note that the bambi library provides an easy to use such that an equivalent model can be built using one line of code.\n", "A version of this same notebook using Bambi is available at {doc}`bambi's docs `" ] }, { "cell_type": "code", "execution_count": 5, "id": "fe7a91af", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (2 chains in 2 jobs)\n", "NUTS: [intercept, slope, sigma]\n" ] }, { "data": { "text/html": [ "\n", "\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "\n", "
\n", " \n", " 100.00% [6000/6000 00:06<00:00 Sampling 2 chains, 0 divergences]\n", "
\n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stderr", "output_type": "stream", "text": [ "Sampling 2 chains for 2_000 tune and 1_000 draw iterations (4_000 + 2_000 draws total) took 17 seconds.\n" ] } ], "source": [ "with pm.Model() as model:\n", " xdata = pm.ConstantData(\"x\", x_out, dims=\"obs_id\")\n", "\n", " # define priors\n", " intercept = pm.Normal(\"intercept\", mu=0, sigma=1)\n", " slope = pm.Normal(\"slope\", mu=0, sigma=1)\n", " sigma = pm.HalfCauchy(\"sigma\", beta=10)\n", "\n", " mu = pm.Deterministic(\"mu\", intercept + slope * xdata, dims=\"obs_id\")\n", "\n", " # define likelihood\n", " likelihood = pm.Normal(\"y\", mu=mu, sigma=sigma, observed=y_out, dims=\"obs_id\")\n", "\n", " # inference\n", " trace = pm.sample(tune=2000)" ] }, { "cell_type": "markdown", "id": "614c71a1", "metadata": {}, "source": [ "To evaluate the fit, the code below calculates the posterior predictive regression lines by taking regression parameters from the posterior distribution and plots a regression line for 20 of them." ] }, { "cell_type": "code", "execution_count": 6, "id": "a29c8e3c", "metadata": {}, "outputs": [ { "data": { "image/png": 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ugKW33XabZsyYYb9Ik5ycrNmzZ9/K0zIVwm0AAAAAgNtsNps+2fKmkpKzv+dtXpSUnKh5W95KdxBAsypVqpT69u2b082wW716taEu8+jRo12qZdy8eXO1adPGPr148WKvtE+S6tSpo8ceeyzT5Ww2m6FcSPPmzfX4449nup6fn5/+97//2cP606dPOx2A89SpU4Ya3rVq1cq0XREREYbB9rKie/fuLoW5586dM4StvXr1Uu3atTNdr0SJEoaSDb/88ouuXbvmsFzq8i+eqLOeenvVqlWTj0/2RXKXL1/WqlWr7NMlS5bUwIEDM1wnJCREo0aNMlz0+eqrr1ze56OPPpppL+z69esbXttdu3a5vP3cIiAgQKNHj860d/0TTzxhmN6+fbvT5W7cuKFvv/3WPt2xY0e1bNky03YULFhQQ4YMsU9v27bNrbr1Zka4DQAAAABwW0zCVe2/uC2nm5Gn7LsYqZiEqzndDI966KGHnPY+zimpe4bWqlXLpTA0Rdu2be3/3r9/v8frIafo3LmzS8vt2bPHUGfblWA7RaVKlQx1w1PKlKT2119/GS62dO7c2Wnv9rTuu+8+hYWFudyWtDp16uTScr/88ou9xnVAQIDL60lSmzZt7M/FarU6DRqDgoLs/06p1X0rUm/v4MGDSk5OvuVtumrjxo2G3vSPPvqoAgMDM12vRo0ahtIW+/bt0/nz513aZ5cuXVxaLvVdBCdOnMiwbnlu1KpVKxUrVizT5erXr284fg4dOuR0uQ0bNhgGpnTnuL7jjjtUuHBh+7Sz4zovItwGAAAAAABe0bBhw5xugp3VatWOHTvs0/Xr13dr/XLlytn/nZycbK9v62muvmaRkZH2f1ssFtWrV8+t/aR+Ps7C2z17jOWG7rjjDpe26+fnl+W/e5kyZVSyZEmXlk39/KtUqZJuyQZnQkNDDSGgs+d/++232/+9fPlyff3117dUIz719o4dO6Y33njDEGJ6U9qBW13pCZyiVatWGW7LmWLFiql8+fIubb9UqVL2f9tsNq9dNPIWV9/rISEhhvfc1avOL2Smfl+HhYWpYsWKLrfFx8fHMOinJy7KmAEDSgIAAAAA3BYSUFjVi9Wn97YH1SjWQCEBhTNf0EScDdSXU06dOmUIzr788kv7IG9ZkV44dSsCAwNVokQJl5ZNHVzZbDbdd999bu0rdc9hZ88ldfmW0NBQl3qnpqhSpYpWr17tVnsk994vqZ//vn37dNddd7m1r9S1xJ09/27dutnLtSQnJ+uDDz6w12dv3Lix6tat67TGcnoeeughffbZZ/a61z/++KNWrVqlJk2aqGnTpqpXr56qVq3q0oCN7ko9kGVQUJDhwkZm0paIOXbsWKbrREREuLz91D3aJSk2NlahoaEur5/T3H2uKRc0YmNjnS6T+n0dHR3t8fd1XpQj4XZiYqIOHDig/fv368qVK4qPj1fBggUVERGh2rVru3VyAAAAAABkP4vFoucajdCoX5+i7rYH+Pn469lGI1wq+2AmhQoVyukm2EVHRxumb7UsROrB+TzFndcr7fNJb1BIVzh7LqnrUKfuceqKrIaT7vS+Tt3r2Wazefz5N2vWTAMGDNCMGTPs75Xo6Gj9+OOP+vHHHyVJRYsWVcOGDXX33XerZcuWDkFtauHh4XrzzTc1YsQI+/7i4+O1YcMGbdiwQZIUHBysunXr2mu8u3NBISOp/5bh4eFu1ftOOzipK4GpKyVP0mO2cQey+lzTe57ePq7zomwNt8+dO6fZs2dr2bJlGR4Mt912m7p3766uXbt65YoVAAAAAODWNSpzj97/z2JN/vMVHYnaK5vMFUrkBhZZVCm8pgbf+bZqlWiS083xuMwGWctOng56vFEz2Z3Xy5PPx9lzSV2j2d/f363tubt8Clef/40bN26pREha6f0te/TooQYNGmjevHnauHGjQ9B46dIl/frrr/r1119VuHBhPfnkk3ryySfTfR5NmjTRF198oXnz5mnlypUOvXdjY2O1ceNGbdy4UVOmTFH79u01cODAW+7JnHo/GQXwzgQHB6e7LXiet4/rvCjbPmVWrVqlkSNHulRP6ODBgxo3bpyWLFmi6dOnq3jx4tnQQgAAAACAu2qVaKJZnVbrevwVXYw9k9PNMZ1iwaVUsIB5bsE3swIFChimR4wYoUceeSSHWnPrUj+fiIgIff/99x7dfupe1O4Gmt6umxwQECAfHx97eNeuXTuNGzfOK/uqXbu23n//fUVFRemff/7R9u3btWPHDv37778OpV1mzJihLVu26P3330834C9evLheeeUVDR48WJGRkdq2bZt27typ3bt3Kz4+3r6c1WrV999/r82bN2vWrFkul6txJnVAHRcX59a6af/2acNueFbq47pu3bqaNWtWDrbGHLIl3N6wYYOGDBliuKrm5+enZs2aqVq1agoKClJUVJQiIyO1d+9e+zI7duzQM888o2+++catW1MAAAAAANmrYIFQQlrcsqyWZXElsAsLCzNMp64pbUapn8/FixcVHx/vEOB7avuXLl1SYmKiyz2yz5zx7oUuHx8fFSpUyN6BMjv+luHh4brvvvvstc1jYmK0adMmrVy5UuvXr7cH3Zs3b9aCBQv03HPPZbi9wMBANW/eXM2bN5ckJSUlafv27Vq9erV++ukne6h87tw5vf7665o2bVqW25663E1UVJRsNpvLx9rly5cN0+6WqIF7wsLCdPbsWUnmP0dlF9eL7GTRjRs3NHr0aEOw3aRJE/3666+aO3euXnnlFQ0aNEivvfaali5dqvnz5xuKsR8+fFhTpkzxdjMBAAAAAEAOS10y4caNGy6vd/HixUyXKVOmjAICAuzTkZGR7jUul6lUqZL93zabTdu2bfPo9qtVq2b/d2Jiog4ePOjyuqk7LnpL6ue/f//+bC+XERISotatW+vtt9/WBx98YCiru3z5cre35+fnp0aNGmnYsGH64osvDNnYP//8o9OnT2e5reXLl7f/Oy4uzjDAZGb27dtnmM5Ng8TmRanf15cuXXLrb5VfeT3cXr16teEArFixombNmqXSpUs7Xb558+aaM2eOoT7Rt99+a6j1BMAoJsamI0dt2rP35v9jYqh1CAAAAMB8UvcwTem9mBmbzabt27dnulxgYKBq165tn969e7dOnjzpfiNzicaNGxumV65c6dHt161b1zD966+/urTe6dOntXv3bo+2xZnUzz8xMVGrV6/2+j7T06xZM7Vs2dI+ffbsWcMgju4qWbKknn76acM8dy4upJX2b7lu3TqX1127dq1huk6dOlluBzLn7eM6L/J6uP3XX38Zpnv27JlpfZ4aNWqoTZs29umYmBjt3LnTK+0DzMpms2lrpE2vjklW+4ds6tHTpt79bv6//UM2vfpasrZG2kw30jAAAACA/Ct1r8WoqCgdOXIk03XWr1+vc+fOubT9+++/3/7v5ORkzZw50/1G5hJ169ZVyZIl7dMrV67UoUOHPLb9Zs2aqUiRIvbppUuX6vz585mu9/HHH2fL79D77rtPPj7/F2vNnz/f7XrSnlSmTBnD9K0OeOnJ7TVr1sxw18LixYtdujNi//792rJli3369ttvZ1w8L7v77rsNuenXX3+tS5cu5WCLcj+vh9tpP2Dq16/v0noNGzY0TLtyAgXyi/0HbHr6WZsGDbVpzTrJmmYAXGuytGatNGjozeX2HyDgBgAAAJD7pe0V+tVXX2W4fFRUlN5//32Xt//ggw8aAuFVq1ZpwYIFbrXx+vXr2VJ2IzN+fn7q2bOnfdpqteqVV17RhQsX3NrOtm3bnN4t7+fnpy5dutin4+Li9Morr2TYI3nRokXZ1tO0QoUKatu2rX365MmTGjt2rFshsNVqNYS3KWJiYly6sJJa6rsHAgMDFR4ebnjc3d7sacvMlCpVyq31UwsPDze8VmfOnMm0hndsbKzeeOMNw6CZjz/+eJbbANeEhobqscces09fu3ZNw4cP1/Xr193azt9//+3ppuVaXg+3Ux8E0s0D3BWp62xJWR9UAshr/v7HpoGDbDpy1LXljxyVBg6y6e9/CLgBAAAA5G4NGjQwhHjLli3TV1995bQn8I4dO/TCCy/o3LlzLg906Ofnp9GjRxvqI0+fPl1jxozJdPC2Xbt2adKkSerYsaN+/vlnF5+Rdz300ENq2rSpffrkyZN65pln9PPPP8tqtaa73tWrV/X999+rT58+6tu3r+Lj450u16NHD1WuXNk+vXfvXnXv3l2LFy/WuXPnZLVadf36df3999965ZVXNGnSJEnZV7pi8ODBhtrUa9euVZ8+fTKtP37q1Cl99tlnevzxx+1tTu3KlSvq3r27hgwZop9//lkxMTHpbismJkZvv/22oeLAPffc45BjjRo1Sk8++aS++uqrDO80SE5O1tKlS7Vw4UL7vBIlSqhmzZoZPqfM9O7dWwULFrRPf/vtt3r77bed1io/efKkBg8erAMHDtjn1a1b1z6YJryrZ8+eqlq1qn16586devbZZ7Vhw4YM74q4ePGivv76az311FMaMWJEdjQ1V/DLfJFbU7ZsWcP0mTNnDLcZpSfthwoF64GbPbZHvmpTnOvjqkiS4m5II1+1adoUqXo1LhQBAAAAyJ0sFov69OmjsWPHSrpZjvHDDz/U0qVL1aRJExUqVEhXrlzRzp07tX//fklSlSpV1LRpU3355Zcu7SNl0L533nnH3iHvl19+0apVq1StWjXVrFlTYWFhSk5O1vXr13Xy5Ent27dPV65c8cpzvhW+vr6aMGGC+vfvr3///VeSdPnyZY0dO1aTJk2yXywICgpSbGysoqKidPDgQR09ejTD8DuFv7+/3nrrLQ0YMMDeI/zChQt655130l3n3nvv1V133WUIe1OPq+ZJRYsW1TvvvKPBgwfr6tWrkqQ9e/aob9++Klu2rOrWrauiRYsqICBA165d0/nz57V//36dOXPGvo3bbrvN6bZtNps2btyojRs3ys/PT5U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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 491, "width": 731 } }, "output_type": "display_data" } ], "source": [ "post = az.extract(trace, num_samples=20)\n", "x_plot = xr.DataArray(np.linspace(x_out.min(), x_out.max(), 100), dims=\"plot_id\")\n", "lines = post[\"intercept\"] + post[\"slope\"] * x_plot\n", "\n", "plt.scatter(x_out, y_out, label=\"data\")\n", "plt.plot(x_plot, lines.transpose(), alpha=0.4, color=\"C1\")\n", "plt.plot(x, true_regression_line, label=\"True regression line\", lw=3.0, c=\"C2\")\n", "plt.legend(loc=0)\n", "plt.title(\"Posterior predictive for normal likelihood\");" ] }, { "cell_type": "markdown", "id": "1fa82e3c", "metadata": {}, "source": [ "As you can see, the fit is quite skewed and we have a fair amount of uncertainty in our estimate as indicated by the wide range of different posterior predictive regression lines. Why is this? The reason is that the normal distribution does not have a lot of mass in the tails and consequently, an outlier will affect the fit strongly.\n", "\n", "A Frequentist would estimate a [Robust Regression](http://en.wikipedia.org/wiki/Robust_regression) and use a non-quadratic distance measure to evaluate the fit.\n", "\n", "But what's a Bayesian to do? Since the problem is the light tails of the Normal distribution we can instead assume that our data is not normally distributed but instead distributed according to the [Student T distribution](http://en.wikipedia.org/wiki/Student%27s_t-distribution) which has heavier tails as shown next {cite:p}`gelman2013bayesian,kruschke2014doing`.\n", "\n", "Lets look at those two distributions to get a feel for them." ] }, { "cell_type": "code", "execution_count": 7, "id": "285a756b", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "image/png": { "height": 491, "width": 731 } }, "output_type": "display_data" } ], "source": [ "normal_dist = pm.Normal.dist(mu=0, sigma=1)\n", "t_dist = pm.StudentT.dist(mu=0, lam=1, nu=1)\n", "x_eval = np.linspace(-8, 8, 300)\n", "plt.plot(x_eval, pm.math.exp(pm.logp(normal_dist, x_eval)).eval(), label=\"Normal\", lw=2.0)\n", "plt.plot(x_eval, pm.math.exp(pm.logp(t_dist, x_eval)).eval(), label=\"Student T\", lw=2.0)\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"Probability density\")\n", "plt.legend();" ] }, { "cell_type": "markdown", "id": "33a11005", "metadata": {}, "source": [ "As you can see, the probability of values far away from the mean (0 in this case) are much more likely under the `T` distribution than under the Normal distribution.\n", "\n", "Below is a PyMC model, with the `likelihood` term following a `StudentT` distribution with $\\nu=3$ degrees of freedom, opposed to the `Normal` distribution." ] }, { "cell_type": "code", "execution_count": 8, "id": "60271a05", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (2 chains in 2 jobs)\n", "NUTS: [intercept, slope, sigma]\n" ] }, { "data": { "text/html": [ "\n", "\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "\n", "
\n", " \n", " 100.00% [10000/10000 00:16<00:00 Sampling 2 chains, 0 divergences]\n", "
\n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stderr", "output_type": "stream", "text": [ "Sampling 2 chains for 4_000 tune and 1_000 draw iterations (8_000 + 2_000 draws total) took 24 seconds.\n" ] } ], "source": [ "with pm.Model() as robust_model:\n", " xdata = pm.ConstantData(\"x\", x_out, dims=\"obs_id\")\n", "\n", " # define priors\n", " intercept = pm.Normal(\"intercept\", mu=0, sigma=1)\n", " slope = pm.Normal(\"slope\", mu=0, sigma=1)\n", " sigma = pm.HalfCauchy(\"sigma\", beta=10)\n", "\n", " mu = pm.Deterministic(\"mu\", intercept + slope * xdata, dims=\"obs_id\")\n", "\n", " # define likelihood\n", " likelihood = pm.StudentT(\"y\", mu=mu, sigma=sigma, nu=3, observed=y_out, dims=\"obs_id\")\n", "\n", " # inference\n", " robust_trace = pm.sample(tune=4000)" ] }, { "cell_type": "code", "execution_count": 9, "id": "4109b14a", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Posterior predictive for Student-T likelihood')" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 491, "width": 731 } }, "output_type": "display_data" } ], "source": [ "robust_post = az.extract(robust_trace, num_samples=20)\n", "x_plot = xr.DataArray(np.linspace(x_out.min(), x_out.max(), 100), dims=\"plot_id\")\n", "robust_lines = robust_post[\"intercept\"] + robust_post[\"slope\"] * x_plot\n", "\n", "plt.scatter(x_out, y_out, label=\"data\")\n", "plt.plot(x_plot, robust_lines.transpose(), alpha=0.4, color=\"C1\")\n", "plt.plot(x, true_regression_line, label=\"True regression line\", lw=3.0, c=\"C2\")\n", "plt.legend(loc=0)\n", "plt.title(\"Posterior predictive for Student-T likelihood\")" ] }, { "cell_type": "markdown", "id": "e59556cb", "metadata": {}, "source": [ "There, much better! The outliers are barely influencing our estimation at all because our likelihood function assumes that outliers are much more probable than under the Normal distribution." ] }, { "cell_type": "markdown", "id": "cf8b17e2", "metadata": {}, "source": [ "## Summary\n", "\n", " - By changing the likelihood from a Normal distribution to a Student T distribution -- which has more mass in the tails -- we can perform *Robust Regression*.\n", "\n", "*Extensions*: \n", "\n", " - The Student-T distribution has, besides the mean and variance, a third parameter called *degrees of freedom* that describes how much mass should be put into the tails. Here it is set to 1 which gives maximum mass to the tails (setting this to infinity results in a Normal distribution!). One could easily place a prior on this rather than fixing it which I leave as an exercise for the reader ;).\n", " - T distributions can be used as priors as well. See {ref}`GLM-hierarchical`\n", " - How do we test if our data is normal or violates that assumption in an important way? Check out this great blog post, [Probably Overthinking It](http://allendowney.blogspot.com/2013/08/are-my-data-normal.html), by Allen Downey." ] }, { "cell_type": "markdown", "id": "cc0e4b72", "metadata": {}, "source": [ "## Authors \n", "\n", "* Adapted from [Thomas Wiecki's](https://twitter.com/twiecki) blog\n", "* Updated by @fonnesbeck in September 2016 (pymc#1378)\n", "* Updated by @chiral-carbon in August 2021 (pymc-examples#205)\n", "* Updated by Conor Hassan, Igor Kuvychko, Reshama Shaikh and [Oriol Abril Pla](https://oriolabrilpla.cat/en/) in 2022\n", "* Rerun using PyMC v5, by Reshama Shaikh, January 2023" ] }, { "cell_type": "markdown", "id": "e7a301f6", "metadata": {}, "source": [ "## References\n", "\n", ":::{bibliography}\n", ":filter: docname in docnames\n", ":::\n", " \n", "## Watermark" ] }, { "cell_type": "code", "execution_count": 10, "id": "0cd36254", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Last updated: Tue Jan 10 2023\n", "\n", "Python implementation: CPython\n", "Python version : 3.11.0\n", "IPython version : 8.8.0\n", "\n", "xarray: 2022.12.0\n", "\n", "matplotlib: 3.6.2\n", "pandas : 1.5.2\n", "numpy : 1.24.1\n", "pymc : 5.0.1\n", "pytensor : 2.8.11\n", "arviz : 0.14.0\n", "xarray : 2022.12.0\n", "\n", "Watermark: 2.3.1\n", "\n" ] } ], "source": [ "%load_ext watermark\n", "%watermark -n -u -v -iv -w -p xarray" ] }, { "cell_type": "markdown", "id": "466f6d1e", "metadata": {}, "source": [ ":::{include} ../page_footer.md\n", ":::" ] }, { "cell_type": "code", "execution_count": null, "id": "0cbd5427", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.0" } }, "nbformat": 4, "nbformat_minor": 5 }