{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Tutorial: Running linear mixed effects models\n", "\n", "This lab delves into mixed-effects models and their implementation in R.\n", "\n", "## Goals:\n", "* Learn how to use the `lmer()` function\n", "\n", "\n", "This tutorial draws from Chapter 1 in Bates, D., Maechler, M., Bolker, B., & Walker, S. (2014). \"lme4: Linear mixed-effects models using Eigen and S4\". R package version:, 1(7), 1-23." ] }, { "cell_type": "markdown", "metadata": { "id": "952R28vWXD3J" }, "source": [ "---\n", "# Linear mixed-effects models\n", "\n", "Linear mixed-effects models let you account for correlations among your observations and variation due to variables other than those of interest (like *participant* or *classroom*). Let's see how we can use the linear mixed-effects tools in R. \n", "\n", "To get started, we will need to install the [lme4](https://cran.r-project.org/web/packages/lme4/lme4.pdf) library in R. " ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "executionInfo": { "elapsed": 68552, "status": "ok", "timestamp": 1611874183574, "user": { "displayName": "Patience Stevens", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gi-_9ZqhIFhAv1oMehJNvNuIKSTyrFQHzjxQKhx=s64", "userId": "01994571539255174942" }, "user_tz": 300 }, "id": "PB66Y3f6XD3O", "outputId": "6570e770-def3-47ae-fc23-9ca67694ddbd" }, "outputs": [], "source": [ "# Load LME4\n", "# install.packages(\"lme4\") # Uncomment if not installed.\n", "library(lme4)\n", "library(ggplot2)" ] }, { "cell_type": "markdown", "metadata": { "id": "jYOElQaaXD3S" }, "source": [ "This library includes a sleep study experiment that we will use to practice fitting a mixed-effect model." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 204 }, "executionInfo": { "elapsed": 361, "status": "ok", "timestamp": 1611874198373, "user": { "displayName": "Patience Stevens", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gi-_9ZqhIFhAv1oMehJNvNuIKSTyrFQHzjxQKhx=s64", "userId": "01994571539255174942" }, "user_tz": 300 }, "id": "3lGFIGM2XD3V", "outputId": "b8d8c2c8-9e61-4e7c-c4de-cc0b66100082" }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\t\n", "\t\n", "\n", "\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\n", "
A data.frame: 6 × 3
ReactionDaysSubject
<dbl><dbl><fct>
1249.56000308
2258.70471308
3250.80062308
4321.43983308
5356.85194308
6414.69015308
\n" ], "text/latex": [ "A data.frame: 6 × 3\n", "\\begin{tabular}{r|lll}\n", " & Reaction & Days & Subject\\\\\n", " & & & \\\\\n", "\\hline\n", "\t1 & 249.5600 & 0 & 308\\\\\n", "\t2 & 258.7047 & 1 & 308\\\\\n", "\t3 & 250.8006 & 2 & 308\\\\\n", "\t4 & 321.4398 & 3 & 308\\\\\n", "\t5 & 356.8519 & 4 & 308\\\\\n", "\t6 & 414.6901 & 5 & 308\\\\\n", "\\end{tabular}\n" ], "text/markdown": [ "\n", "A data.frame: 6 × 3\n", "\n", "| | Reaction <dbl> | Days <dbl> | Subject <fct> |\n", "|---|---|---|---|\n", "| 1 | 249.5600 | 0 | 308 |\n", "| 2 | 258.7047 | 1 | 308 |\n", "| 3 | 250.8006 | 2 | 308 |\n", "| 4 | 321.4398 | 3 | 308 |\n", "| 5 | 356.8519 | 4 | 308 |\n", "| 6 | 414.6901 | 5 | 308 |\n", "\n" ], "text/plain": [ " Reaction Days Subject\n", "1 249.5600 0 308 \n", "2 258.7047 1 308 \n", "3 250.8006 2 308 \n", "4 321.4398 3 308 \n", "5 356.8519 4 308 \n", "6 414.6901 5 308 " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#help(sleepstudy) # Uncomment to see documentation\n", "head(sleepstudy)" ] }, { "cell_type": "markdown", "metadata": { "id": "wLcMmr03XD3X" }, "source": [ "The documentation summarizes these data:\n", "> \"The average reaction time per day for subjects in a sleep deprivation study. On day 0 the subjects had their normal amount of sleep. Starting that night they were restricted to 3 hours of sleep per night. The observations represent the average reaction time on a series of tests given each day to each subject.\"\n", "\n", "So we have a data frame with 180 observations on the following 3 variables.\n", "\n", "* **Reaction:** Average reaction time (ms)\n", "\n", "* **Days:** Number of days of sleep deprivation\n", "\n", "* **Subject:** Subject number on which the observation was made.\n", "\n", "The main question we have here is whether days of consecutive sleep deprivation impact reaction times. This boils down to a repeated measures problem: the same subjects are tested across multiple days, so random effects associated with each individual will also carry over across days, violating the assumption that each observation is independent and identically distributed (i.e., *iid*).\n", "\n", "Let's take a look at the fixed effects. Below, we plot the data by days and then grouped by subject/" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 471 }, "executionInfo": { "elapsed": 1579, "status": "ok", "timestamp": 1611874205684, "user": { "displayName": "Patience Stevens", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gi-_9ZqhIFhAv1oMehJNvNuIKSTyrFQHzjxQKhx=s64", "userId": "01994571539255174942" }, "user_tz": 300 }, "id": "vrfxj1HOXD3Z", "outputId": "2bf05f3b-75b4-4858-c897-a92261ba5e3f", "scrolled": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "\u001b[1m\u001b[22m`geom_smooth()` using formula = 'y ~ x'\n" ] }, { "data": { "image/png": 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9nbfsWWGn1ShZTwcCwYmCatQdGHvSUV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ll8E2ey4iiDqcS/8RYBwk5fs12LwdMDb7\nYqoMcyBnph4ZU42Q9pAckBlhXyeXupe9XOpkEhfuJZa7m8mlrpfEhf2f6BBqwey04aPaHdjY\nfBguAnNO5FgsjT8PWpk/SvUhNDE+1KAi4PvtDWp3vHGOAEeAI8ARGG4IOGnR8WZVDV6rqCKr\nRqewpfstSQm4MyUJcr6C6wQmAHsPjzfC5JDg63IllGSBsBPwWToHXjxLD6XXwlt+6ADUH38I\niYfi6iJqddOvl8IxfkIARsObYEpM5WE1MdOFw9jku7SSq53Inq5H5llGyHth6WlgLHVduNT9\n/UwDppCLHpeuEWDK0bL811BoqaWXCW2MfifMVVjbuB/v5t1J7Jk8DrJr9Eb2Gd9v8cjGg8+e\nI8AR4AhwBHqBQI3VhkeLirGn1SC6KpYsEn8blYHpEeGicn4QGASYEvQ0MZXdTRaEU60yxBLF\n99gIh48lQfn9Rii/XecRyg84o6JgupnIGCipLJf+I1Cdr0L+lnDoa8VxQaxlmcKJzLONgnKk\nUPfOBe7nBjn++IsOtV4sdcylbgW51EX1QtHq/yyHZgsf1m4XKUdsFkxRqrA24s3qzbgn5eKh\nOTE+6qAjwBWkoEPMO+AIcAQ4AsMTgW3NLXi8qASNdnGulZmkFD2ZlY4Yhe+CcXgiMXizStY4\nwT4+QrFg6n9+CsXen0WnHOkZMN10C1zhXHEVAdOHg7pCpaAYNROjoLdIaXU1erodqdPqoQrz\nc3+8L/A4ZtaoN06p8RIlj/WMM2MudUwhvoW71Hmgdfrd75oOdViOPGsyJWlT0xGuIHmCwvdF\nCHAFSQQHP+AIcAQ4AhyB7hCwUaDFC+VVeK+mVlRVTj51d6Uk46bEeLJkdMbGiCrxg6AjIKGk\nryz5q4ySwHqKbcqZMC+6DuCKqycsvd5vLFcgf3M4Gor9xLCQEpM2yYSZ12ihoHijhobeKUeN\nVsZSF4Yfa8VKVyK56P2dEr+e2UOXOie9s6g5oYahQQY1WRYT8yy9cu3rNSgheoGDaZtdiFPk\nENxFJV4cFAQOHjyIdevWIScnBxdffDGRZ4rZM7s77x7UF198gejoaMydO9ddFLBtD7lTAtYf\nb4gjwBHgCHAEhjACpRYLlh0/6aMcpVJMy9tjRuNmijniytHg3WBpVSW0Lz8vUo7YEtFy4UUw\nU8wRV476fm9aquX4+dNo7Fwd50c5chFVtwmzb6/FpMtboIvpfT+/kEvd4q2RPsrRrHgrPj2/\nucfKkalZhq3/F499/4rCSUpKe+ibKGx+KQHNVSPvnTgjZFBIvILy6NbIqWxWxJje36RhfIWZ\n3A5bjWUCkUUwp7lkyRIsWLAAx48fxyOPPILZs2ejvr6+o8vuzrsrbt26Fddffz127drlLgro\nduR9WwIKH2+MI8AR4AiMHATWNjRiRXEZjIyqy0MWEnX3nzLTKODZdyHiUY3vBhkB2bGj0Hzw\nHiTWzmSjLooFM1+3BPZJk4Pc+/BtnllhGPlC5REW0O9rGY3PMQtJXiMS3YQJvnVOhw4zcrxV\noMaL5FLn8GAlZC51d+WZcCu13xuD7C+fRcNMSpKL2nLny2IWpT0fxWDuXTWQjaCV340Js4iQ\nYR+qbS2wt5M0MOUoWqbF7UkXnO62jJhzzYYibNj9H6hq2C3MWa2MxZzJTyEv/eqAY7B9+3Z8\n9tlnOHHiBLKysmChF26pqalYvXo17r//fnR3ng3IRmQzTz/9NJ566qmgvowbQV+TgN9n3iBH\ngCPAERgRCJgcDqwsLcea+kbRfNVSCf6YnoprKPkrl8FFQLFtC1Rrv4bEw6XIGR5BZAy3wJmW\nPriDG6K9m1qkZIEJF2i7mbLhLTFEtZ43txXRaWJae+96pztuanep+8HLpS6BSDf+Tolfp/bQ\npc7dh75OBmbp8lXkJLAR2UN9oQoJozsVaPd1w3XLWOo+yPsP/L/q7/F98xHBOnI+WY7uSJ6P\naLnYrWs4YuBwWGC1t3Y5NYutFZ9uvgRma1NHHbO1Ht/u/h0xY1owKmlBR7n3jkyqglLRu1jG\nlJQUfP3114JyxNpTkLtvTEwMqqqqhOa7O88qrVq1Cm+99Ra+/PJL/PGPfxSuC8YfriAFA1Xe\nJkeAI8ARGCYIHDea8HBhMYrM4kVVrkaNlZTbKIe2XAYRAVJeVV9+DuXun0SDcKSkCkx1rshI\nUTk/6B4Bi0GKgh1hKPk5DE6iUveWyGQr8ua0Ii7bN9+Ud93THe9lLHV7dag2i6MdZsZZsZIo\nvKP7wFJnMciExLMusZFXGIaELFJsbiNNwuUa/CH1UuEz0uZeULke63f9tg/TdmHjz3ef9rqs\npAtxxcz3T1vH+ySzGrEPk/379wvKDnOvu/HGG4Wy7s6zSldccQWWLVsmKFdcQRJg4384AhwB\njgBHYCAR+LimDv8oqyAWKHGg82KyGD2QngKVdOQttgYS/277MhqheW815AWnRFVtE86A+fol\nAMWFcek5AjazBIU/haFoVxgcNt9nWxdnw2hSjJLGiF8W9LyHtprs6/Q2udS94OVSxxL93kUs\ndbf10qXOs39drB3+lCNWx0XKni7e7QboeRXf5wgMLALl5eVC7FELJa6+7bbbkJeXJxrA6c4n\nJSWJ6gbrgFuQgoUsb5cjwBHgCAxRBFqIIvrx4lJsbmoRzUAnk+LxzHQsoJgjLoOLgKS2BtpV\nb0FaXycaiGXeBbAuvIQ8rHwtH6KK/KADAQd5yBXtCUPhDh1sXtYcVkkTZcfo8/VImWjqN6zN\n5FL3X/vDsLVGrLzGk0vdfxNL3Vmk4PRHVDon0qYYUX5QKyhE7rYkUheiUq2ITu27O6C7Lb7l\nCPQXARZ31NzcLFiRmPVo0aJFguudu93uzrvrBXPLFaRgosvb5ghwBDgCQwyBfXoDHi4opqBm\n8UJqUpgWT5NLXYpKvLAbYtMbFsOVnciH5v13IDGbO+bjIoIMRuFtnzqto4zvnB4BRlxQuleL\nkz/qYCXXNG9R6RzIOU+PdFI4pL6nvat3e7yvkSV+DUOVWdzYDLJMrZyiR4xKbKnttsEuKky4\nqEUYb+kvpCS1N5kw2owzLmvu4gpePFwRiI0cjxkTHu1yegZTFQ4UvOlzXgIpEmOmYVTyQp9z\n7oKosFHu3T5vJ0+ejPvuuw933HEHmDUpIiJC1FZ350WVA3zAFaQAA8qb4whwBDgCQxEBJ62k\n3qyqwWsVVaLsIMwOcQtRd9+ZkkTUuNwqMdj3VrFzO1RrvoTEg0nQGaaj5K/L4MzMGuzhDYn+\nmQta+SENTm4j3Jp9l0EKSrybPUOPzGkGyAKQ65gpKavJpe5//bjU/Z5Y6n6bawbxnQRMmDLH\nlKQxRCDBKL9V4Q4oNYFRvgI2SN7QgCAQEz4aMWPuOW1f0VRny/7/gkyqJIWaBa85kRR7Nq48\n7yPIZZrTXtvbk88995yQ/2jDhg0dlzJLkoNiKaXkst3d+Y6LBmDH95dhADrlXXAEOAIcAY5A\n6CBQY7Xh0aJi7Gk1iAYVSxTRfxuVgekRvWMqEjXCDwKDAClEqq//BeX2H0XtORKTYFq2HK7o\nPiTeEbU0/A+YolJ1TE2U3ToY6n01H5nSiVHnGJB1rgGKAFlzmEvdo+RSt8XLpS6u3aXu7H66\n1J3urslpDuEJ/XPZO137Q+mcdL8dMvowdj/HRBmcU/ny133/JuUsR0biXBRUrCPGOz2SY86i\n4wuCQqHNXOkeeughvPHGGwLRwo4dO/Diiy8KLnY6nU7Ynu68e8wDseVPyECgzPvgCHAEOAIh\nisC25hY8XlSCRjv5G3nITFKKnsxKRwzRsHIZZATIlU7zwbuQ5x8XDcQ+dhxMS5YCKs4kKALG\nz0HtKRXyN4cTBbbv8yyVu5BB1qIcshoptYGztPxcC9y+LcLHpW56u0tdbICUMD/T5UVuBEgr\nVjxngWxvO60fWepkmxxwTrTDer8KATXdufscgtsoXTamEh16sCUjIwPPP/887r33Xtx9990w\n02/bDTfcgJdfflnourvzwR6fZ/uUMoG9Uxm5UllZOeCTZwwcLNGVZ+bgAR/EMOqQ8eiHhYWh\nqamTx38YTW/Ap6JWqxEdHS0EUBqJJYtL/xFgftUsIR77hIrYyCLxQnkV3quhVZyHyGkBcVdK\nMm5KjA/KG0SPrvq8y55P9pxWV1fD6eFq1ucGQ/hCCVHgala/BVlNtWiU1lmzYbn0clrg+bKt\niSr28CAhIQE1NTU9rD10qjWUKJC/JQKNpb6xc4y4IG2yEbmz9FCHty+gAzA1Cbmifl4bh7/u\nclBy0s4GWdpW5lJ3e4Bd6jp7GL57SmJk1Gg0wv+l3sxS8TopR1vtZDcS+zC6ZC7YrlfCcYmv\nwtyb9ntaNzk5uadVA1JvMNZDUVE9J+9ha+Di4mIwXNj6zVu6O+9dPxjH3IIUDFR5mxwBjgBH\nIIQRKCVFjRExHKEcR56SSouQldmZmEiEDFwGHwFZYQHU766C1ONFhYsUIstV18B2zvTBH2AI\nj6C5Si5YjOoo9sdXXAIjHWOm00aLLae+dXtX0myT4DFyqdtcLW43lrnUERHDOXHc5a13iPax\ndqsLyreskO1h90GsHLEWJUR5Lt1iHjAFqY+zGLaXsRfbubm5Xc6vu/NdXhjAE1xBCiCYvCmO\nAEeAIxDqCKxtaMSK4jIYvSwvC4m6+0+ZadARGxqXwUdAvmc31F98Rgu5zoW2i96gm35zMxw5\nXS8sBn/kgzsCfZ2MYozChVgjfwvjhDyzkOQ1PAj5gA42yfCHX3SoNIm/Q+fGEksdUXjHcZe6\nAXk4pPuJlIIsR5JuSPtsLXoaD4+vHJCbMgQ74QrSELxpfMgcAY4AR6C3CJhoob2ytBxr6htF\nl6qJPuuP6am4hpK/cgkBBEhxVa5fC9XWzaLBOOPiYVx2K1xxcaJyftCGgJGUE8ZKx9jp4PK1\nGMSOsgiKUVSKmL4+UPi9W6jCs0e15FLX2Tfb+91ok/AJJEtdoMY87NqxULzRhzbIN4qtdC5y\nbfR2sXNK7KiM+wXJuGzYwcAnFBgEuIIUGBx5KxwBjgBHIGQROE6udA8XFqPILI6BytWosZJy\nG+XQlksIIGC1QP3RB1AcOSwajD13NExLb6KMpYGl3BV1MkQPLHqpkMeI5TNyOTuVE/d0WHLU\nPKK7js20uosCum0hl7o/kUvdpmpxjFM83aqXzgPGq8RurAHtnDfWgYDkFFmNXrVCWu0R9EVn\nTZomyC0qyFxKSF1tlj0niKRBaseBsz7gClIHgnzHGwGuIHkjwo85AhwBjsAwQuDjmjr8o6wC\nNi8+nsVkMXogPQWqAAX5DyPIBmUqEiKZ0ax+EzIv4iDr9BmwXHEVUW+J3bYGZZAh1KnNJEHB\nTh2KdofBafdVjMITbILFKGG0+KVAIKdwqN2lrsLLpe4ccql7+6IwRMmsaGgIZI+8LR8EHC7I\n/0VWo38REYMXz4Z9ugxH5v0bxw6+iwXbH0dqfY5weXV0Cb6b8SRSxl7g0xwv4Ai4EeAKkhsJ\nvuUIcAQ4AsMIgRa7HY8Xl2JzU4toVjqZFI9npmMBxRxxCQ0EpCXF0LxDZAz61o4BuYgJzXL5\nlbCdN6ujjO8AdsorVLQrDIU/hcFu8WXw08bYMfr8ViSPNxMLY/AQe49c6v7h41Lnwh2jzcRU\nZ0aiVkeslcHrv7uWJSYr1DsLIatugTNGC/O5o+CMHF7kK5JKckd9jaxGBWLNyEXTtN1MDHUz\n5RjjXALtplpk14fBISsVYMtsVOLMyvlIyv5ddzDy8yMYAa4gjeCbz6fOEeAIDE8E9ur1eKSg\nBNVEpeopk4id7mlyqUtRid2BPOvw/YFFQL5/L9SffgwJKbRucRGFuemGG+HIG+MuGvFbB8FT\n8osWBdt1sBp9rWnqcAdySTFKnWQKFPO5X8xbmUvdgTBsrBJ/h2IoySwjYphBLHWM5nswRVbe\nhOhnN0BiIdDspDzIpQj76gCa/mMubGMHlm46WDjIvrMJ8UYSL89Jx3gprHfQvYlpU541B8w4\n+6cFAo+d1EF5j9pl6v4L0LKbUi/MGF5Ko3t+fNt/BLiC1H8MeQscAY4ARyAkEHCSG92bVTV4\nraIKnu9U2XLtlqQE3JmSBPkgL95CAqhQGATdK+V3G6Da+G/RaJwxMTARGYMzIVFUPlIPGNli\n+QENETCEw9zqqxgptQ7kzNQjfaoRsiCvaJhL3QPEUlfu5VJ3VowN/03KUbxaHP8yKPeMnqvI\n17ZAYrRC4h4OKUlsN/K1rahfeQ1c6oHJ/ROU+TfR94blNjrg+QtHvBw0Jdt1CjguoofA4zdO\ns4HyvLlx8BgQc8fTrq8lBSnao5TvcgQ6EQjy3gRk7AAAQABJREFUz0lnR3yPI8AR4AhwBIKH\nQI3VhkeLirGn1SDqJFYux4pRGTg3gtPZioAZzAOy7Kk/+QiKg/tFo7BnjYL5xmVw+UmcKKo4\nAg5YyFzlEbVA2W1s9F2qyCmv0KjpBmSdbYBc6WcFHGCM3ieXuv/x41L3W0r6ypK/ygbXaNQx\nW1lFE2R1rZ3KUfsZYXh2BxRHK2E9M6Oj/lDacW43Qf2SCRLGzu0hzkwJrL9TwZXm63IpqyNF\nUahLGpGEKPOZJtUu0kaxhd1dzrccAYaA768Ox4UjwBHgCHAEhhQC25pb8OeiEjTRAshTZpJS\n9GRWOmIoKR+X0EBA0tJC8UZvQ1bWFg/hHpVt2tkwX72I/ivzf8vVJ1Q4sSUcrTW+z61U7hKU\nouzpeig0wVeMmEvdn8ml7js/LnVPU+LXmUHIp+R+JvqylRrI54xxihN5gY9QuXDe50SIF5iI\npvt1A+xbbaKUr4xR3X6ZHPZF9JzI29Qg75nYk2WQ1VdDIie2DEcYYG5TDoVrUzl7pzde/LgT\nAf5L3IkF3+MIcAQ4AkMKARv5H71QXoX3asiNxEPYWuGulGTclBg/6PEQHsMa8bvS8nJiqnsL\n0pbODJYCGcPFl8I2Z96Ix6e+SIn8zeFoqhDH9zBgJFIXMsiNjrnTqXRkDRgAOdzc5lJX5hXz\nxFzqniGXuoRQcKnzwsGeSuQrfnQjoZrNAXvm0Mp3Jj1KVq//IyKGevGknPES2CjWyDnG1+2S\nzVVeXA/txmNQnSiCRNF+rYwIa1jQElF+MzFezd1YBSD4H78IcAXJLyy8kCPAEeAIhDYCpUSR\n9XBBMY5QjiNPSVUqsTI7ExOJkIFL6CAgP3QQ6o8/hMTWGVXuontl+vVSOMZPCJ2BDsJImioU\ngmJUX9QZRN8xDAqkST3DRMx0emgixRbSjjpB2PmQxvJ3cqmziXIruXBbjhl3jQkdlzrvqbvC\nVDBeOB7a746SR1mnIuki9krLGamwpw+RmBs70Xd/SvTd64j0QqwbwT5bBttvSMnReFmN6IWR\nam8pNJuOQXlK/NJIwImquxQNcMlT0frbdNjydN7w8WOOQAcCXEHqgILvcAQ4AhyBoYHA2oZG\nrCgug5FFsHvIQqLu/lNmGnQ8Z44HKoO/q9y8Ccr1a0XuQc7ISJhuJjKGlJTBH+AgjaC1Ro78\nreGoyffn6uRC0lgzRs9phS524BQjPYWlPH5Qhw2VYitWNLHUPT3FgPPiQz9uxXDVFLi0CmjX\nHYbUbCOFQAbT7Fzor546SHe6d91KSom++1ULpKVemlEEKXm3yOE8S7x0lRgs0PxwEprNxyFr\nNPrtzKFSo0U9Bq260XDOiIRmikX0ffR7ES8c0QiIn7IRDQWfPEeAI8ARCG0ETA4HVpaWY019\no2igaooteDA9FVdT8lcuIYQAUXerP/8Uil9+Fg3KkZ4B003L4AqPEJWPlANDowwnSTGqOMwU\nIy8rAJXEZZuRN7cVkUmd1OcDgc1Rcqm7n1jqvF3qpkYTS91UPRJD0KXOLy7E4ma8aCKMCycI\nbHYuDcXoDIWE0E6yGpHFSP4ZxRp53XrXVDmU9xDDo7SToUFW1Sy40al3FpBl1r8SbUuLQa31\nTDQ2jYPLQEtexmHzlQumXRrE/KEJEj9GS7+Y8sIRhwBXkEbcLecT5ghwBIYSAg02Oz6iGKMd\nLa0oNFtg8LIa5WrUWEm5jXJoyyV0EJBQLir1u6soFqJINCjb5CkwL74eGIHEGeZWKU7+QArI\nPi1cLEreS6LTLRhDilF0+sBbaT4uVuGZI0PPpc4LQvEhKUrM5W4oiKTOKcQayY6JreIuGr7t\nBiVkF2sh0VC8EaP5PlIJzcajwtb3KSI3Opq3ZUoaTBeMRXNJFvRryN3Y01XSIYGjWgbDBi10\nV/i3OA0FzPgYg4sAV5CCiy9vnSPAEeAI9BmBElKIbjp2Aq1kORIvG9qaXEwWowfSU6AaCm+H\n+4zC0LtQWl0Fzao3IW3stPQxZyHrgoXCZ+jNqH8jtholOEUJXkt+DoOTFqfeEpFkI4tRC+Kz\nO+OzvOsE69hAlorHiaXu20qxIhGlaHOpm5Uw8MpawOba7IK0mnIgxZKiFOtLgR2wfvrZkOwH\nOxTvEB23OJwSjlypQMTgSpJCZrFBSm50Md/sg7yayBb8iJMsZaZZuTDNHQNnbFt8kfkLcpX0\n88yxMsteJVeQ/ODIi9oQ4AoSfxI4AhwBjkCIIvAYUXc3k3LkT+6mpK+3JHMWJn/YDGaZ7NhR\naD58DxIi0XCLi6i7zdf9GvZJU9xFI2Jrs0hQ9FMYCneFwWH1XaCHxZJiNIdc18aYPXN7Dhg2\nx8il7g/kUlfixVJ3JnOpI5a6pAGgEQ/KZK0uKN6yQvYj/XYw2OntinOCFNb/ICUw3FdBDcoY\netJoK1mD3qZx7hb/xrnIUGS/SgH7r+T0ksEA7T/zhRgjqcm/Am1PjIBp3hiYZuQAKq9lrT/l\nqH1sLnsIYdETvHidAUXA60ka0L55ZxwBjgBHgCPQBQI7KLfRQYN/9w/2w21imTS5hBQCih+2\nQvXNV8S61XlvnOHhFG90C5wUdzRSxEFGl2KyFhXs0MFm8lWMNJF25BIrHWOnI2+oQZFP2l3q\nrJ6uV8SPvZxY6v6TEr/KfYc9KOPsS6eKN9qUDgHadtOzlFzXVP9jhuUvmr40GfBrpPsdUL5O\nRAmdjPdCH85kSvp6pwpyRx0i3iCabmKl8/w+uQciWGTHJcM0fyysE4jopIsHSTneCnsVaVze\nipKMlDM6x2VwEDh48CDWrVuHnJwcXHzxxQjzSo7d3fnW1lZ88803KCgowIwZMzBv3ryAT4Qr\nSAGHlDfIEeAIcAT6joCTFtdvVtXgtYqqLhthiwOLVyxSl5X5ieAjQFY+1b++gHLXTlFfDmKo\nM928HK5Iyk0zAsRJhoBSii86RXFGFgMtSr1EFeZAziw90qcYIfU97VU7OIfMpe4Jcqlb7+VS\nF0kudU8RS93soexSxyBrdEK2w+FDfSFhRpoicrk7Tu66XeQOCg7iXq1ayLr1IdF3bxSzMLDf\nNMd8CWS5FYj64DgUpZTY1Y+4FDKYp2fDSPFFjuRIPzXERdoLTTDvVkHVXAOdo4ROumCQpcOk\nTkbYpf5fQIlbGBlHVocZJ5p+gtmux6jIMxGjJqUzSLJkyRJs2rQJl19+Od544w089dRT2LBh\nA2Jj20iGujv/7rvv4o477sDMmTMRTi+gnnjiCdx666149dVXAzpiriAFFE7eGEeAI8AR6DsC\nNVYbHi0qxp5WRrXUtbCXpdN0lBWey+AjYDRC8/47kJ86KRqLbcJEmK9fAijFsS2iSsPkgBnM\nKg5pcGKrDqZm32WFQu1E9gw9Ms8yQEaEaoMlx1vaXOqKvZS3y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nck9godqGGeth/mUvcUxRp9WSZ2qdPJnXhykgELkm0oJ8ts4ykV0ZKL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hP/wnhdMu+c98E4Ond/4mXeRZ3ux8fH4+uv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9BEblZt5LTSToshIRXmGy4ebUhShI+gYspvGJ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\nH+wSZ31MuA6Vde7E/hObSEZRgrmnbkO+l1PZCtKUcAhHi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b9lqOsgWjsPweNTHvSHWusMc6ELpc3Kb14hsdFNrb0uKk33iZzXsGPKozid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\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tKnaDu1RTX2Y1GrGtRmTE3/GoHRSrLR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/hkCKBTbeXysVFWmLI3G7eo4tRXe0Pk9i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\nVginxy6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QrkNyP4LS9Jdjkjzbd4iJRy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"text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 420, "width": 420 } }, "output_type": "display_data" } ], "source": [ "ggplot(sleepstudy, aes(Days, Reaction, color = Subject)) + \n", " geom_point() + geom_smooth(method=\"lm\",se=FALSE)" ] }, { "cell_type": "markdown", "metadata": { "id": "0cQFBA76ZzpV" }, "source": [ "Note that not only do individual subjects' baseline RTs differ (i.e., their intercepts), but the rates at which their RTs change with days of little sleep differ (i.e., their slopes). Put another way: subjects have different reaction speeds, and they're also differently affected by lack of sleep. \n", "\n", "*Tangent: I knew a guy who was like subject 335 once. He seemed to thrive on lack of sleep.*\n", "\n", "Let's see what happens if we try to fit a regular linear model to these clustered data." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 323 }, "executionInfo": { "elapsed": 372, "status": "ok", "timestamp": 1611874215104, "user": { "displayName": "Patience Stevens", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gi-_9ZqhIFhAv1oMehJNvNuIKSTyrFQHzjxQKhx=s64", "userId": "01994571539255174942" }, "user_tz": 300 }, "id": "qbkIgBG5XD3a", "outputId": "7fbe8dfb-bde4-4ff7-992a-b730e8f30856" }, "outputs": [ { "data": { "text/plain": [ "\n", "Call:\n", "lm(formula = Reaction ~ Days, data = sleepstudy)\n", "\n", "Residuals:\n", " Min 1Q Median 3Q Max \n", "-110.848 -27.483 1.546 26.142 139.953 \n", "\n", "Coefficients:\n", " Estimate Std. Error t value Pr(>|t|) \n", "(Intercept) 251.405 6.610 38.033 < 2e-16 ***\n", "Days 10.467 1.238 8.454 9.89e-15 ***\n", "---\n", "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", "\n", "Residual standard error: 47.71 on 178 degrees of freedom\n", "Multiple R-squared: 0.2865,\tAdjusted R-squared: 0.2825 \n", "F-statistic: 71.46 on 1 and 178 DF, p-value: 9.894e-15\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fe.fit = lm(Reaction~Days, data=sleepstudy)\n", "summary(fe.fit)" ] }, { "cell_type": "markdown", "metadata": { "id": "zb7UGloVXD3h" }, "source": [ "Even though we're ignoring the role of subjects in the example above, we still get a significant effect of days of sleep deprivation on reaction time. But because we haven't accounted for the clustered data, the estimate and standard error here are actually incorrect.\n", "\n", "To account for the subject effects, let's treat them as a random effect. In this case we will assume that the effect of sleep deprivation on reaction times varies by subject. \n", "\n", "In `lmer`, random-effects terms are distinguished by vertical bars (|) separating expressions for design matrices from grouping factors. \n", "\n", "Some notes on usage for the random effects terms: \n", "\n", "1. If you just want to find the random intercepts (i.e., you care about subject differences in starting reaction times but not about how each subjects' RTs change as `Days` increases), then write the random effects term as `(1 | Subject)`.\n", "\n", "2. If you want both random intercepts *and* random slopes, you can write either `(1+Days | Subject)` or `(Days | Subject)`. In the second case, the \"1+\" is inferred since usually if the analyst wants slopes they also want intercepts. \n", "\n", "3. If you want *just random slopes*, you can write `(0+Days | Subject)`. " ] }, { "cell_type": "markdown", "metadata": { "id": "MU487xPPdBwc" }, "source": [ "Given the plot above, I think we need to care about both intercepts and slopes. But to be sure, let's try it both ways. " ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 884 }, "executionInfo": { "elapsed": 911, "status": "ok", "timestamp": 1611874253104, "user": { "displayName": "Patience Stevens", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gi-_9ZqhIFhAv1oMehJNvNuIKSTyrFQHzjxQKhx=s64", "userId": "01994571539255174942" }, "user_tz": 300 }, "id": "zjXigSU-XD3i", "outputId": "3dba67f2-e518-44ae-e891-b523bb4f34c2" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[1] \"*******me.fit1********\"\n" ] }, { "data": { "text/plain": [ "Linear mixed model fit by REML ['lmerMod']\n", "Formula: Reaction ~ Days + (Days | Subject)\n", " Data: sleepstudy\n", "\n", "REML criterion at convergence: 1743.6\n", "\n", "Scaled residuals: \n", " Min 1Q Median 3Q Max \n", "-3.9536 -0.4634 0.0231 0.4634 5.1793 \n", "\n", "Random effects:\n", " Groups Name Variance Std.Dev. Corr\n", " Subject (Intercept) 612.10 24.741 \n", " Days 35.07 5.922 0.07\n", " Residual 654.94 25.592 \n", "Number of obs: 180, groups: Subject, 18\n", "\n", "Fixed effects:\n", " Estimate Std. Error t value\n", "(Intercept) 251.405 6.825 36.838\n", "Days 10.467 1.546 6.771\n", "\n", "Correlation of Fixed Effects:\n", " (Intr)\n", "Days -0.138" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "[1] \"*******me.fit2********\"\n" ] }, { "data": { "text/plain": [ "Linear mixed model fit by REML ['lmerMod']\n", "Formula: Reaction ~ Days + (1 | Subject)\n", " Data: sleepstudy\n", "\n", "REML criterion at convergence: 1786.5\n", "\n", "Scaled residuals: \n", " Min 1Q Median 3Q Max \n", "-3.2257 -0.5529 0.0109 0.5188 4.2506 \n", "\n", "Random effects:\n", " Groups Name Variance Std.Dev.\n", " Subject (Intercept) 1378.2 37.12 \n", " Residual 960.5 30.99 \n", "Number of obs: 180, groups: Subject, 18\n", "\n", "Fixed effects:\n", " Estimate Std. Error t value\n", "(Intercept) 251.4051 9.7467 25.79\n", "Days 10.4673 0.8042 13.02\n", "\n", "Correlation of Fixed Effects:\n", " (Intr)\n", "Days -0.371" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Random intercepts and slopes across subjects\n", "me.fit1 = lmer(Reaction ~ Days + (Days | Subject), data=sleepstudy)\n", "# ^^ the same as me.fit1 = lmer(Reaction ~ Days + (1+Days | Subject), data=sleepstudy) \n", "\n", "# Random intercepts only\n", "me.fit2 = lmer(Reaction ~ Days + (1 | Subject), data=sleepstudy)\n", "\n", "print(\"*******me.fit1********\")\n", "summary(me.fit1)\n", "\n", "print(\"*******me.fit2********\")\n", "summary(me.fit2)" ] }, { "cell_type": "markdown", "metadata": { "id": "gUfdVvGgXD3m" }, "source": [ "If we look at the t-value for `Days` on `Reaction` in the Fixed effects of `me.fit1`, it has dropped to 6.77 (from 8.45 in the simple linear model). Thus we are getting a more conservative model fit on the fixed effects.\n", "\n", "Notice that the report on the random effects doesn't provide an inferential statistic (i.e., a t-value). Interpreting the magnitude of a random effect depends on domain-specific information rather than null hypothesis testing (also remember that variance can't be negative, so the distribution is bounded at 0 -- so variance terms will always be \"statistically significant\", but may not represent meaningful variance across participants). Here, we are not looking for how variability in individuals changes the effect of sleep loss over time or at individual differences in the baseline reaction times (you need more complex models to include random effects as predictors). Instead, we are trying to estimate the fixed effects, taking into account this random variation. `lmer` provides a t-value for fixed effects, but not a p-value. You don't need a p-value for interpretation, but if want it (e.g., for publication requirements) you can use the `lmerTest` package.\n", "\n", "To interpret the value of including the random effects term in your model, you will want to do a model comparison. Specifically, you might want to test whether the mixed-effect model provides a better fit to the data than the simple linear regression model. \n", "\n", "Remember the bias-variance tradeoff, and how a more complex model will generally provide a better fit? These three models have different model complexities, so you'll have to use an evaluation criterion that takes complexity into account (e.g., AIC). For now you can think of the AIC as quanitifying the amount of information lost or the variance unexplained (so a lower score would be better). " ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 158 }, "executionInfo": { "elapsed": 399, "status": "ok", "timestamp": 1611874454945, "user": { "displayName": "Patience Stevens", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gi-_9ZqhIFhAv1oMehJNvNuIKSTyrFQHzjxQKhx=s64", "userId": "01994571539255174942" }, "user_tz": 300 }, "id": "ZiUNBsh7XD3n", "outputId": "5726f67d-4977-4607-e726-9b346c8503a3", "scrolled": true }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\t\n", "\t\n", "\n", "\n", "\t\n", "\t\n", "\t\n", "\n", "
A data.frame: 3 × 2
dfAIC
<dbl><dbl>
fe.fit31906.293
me.fit161755.628
me.fit241794.465
\n" ], "text/latex": [ "A data.frame: 3 × 2\n", "\\begin{tabular}{r|ll}\n", " & df & AIC\\\\\n", " & & \\\\\n", "\\hline\n", "\tfe.fit & 3 & 1906.293\\\\\n", "\tme.fit1 & 6 & 1755.628\\\\\n", "\tme.fit2 & 4 & 1794.465\\\\\n", "\\end{tabular}\n" ], "text/markdown": [ "\n", "A data.frame: 3 × 2\n", "\n", "| | df <dbl> | AIC <dbl> |\n", "|---|---|---|\n", "| fe.fit | 3 | 1906.293 |\n", "| me.fit1 | 6 | 1755.628 |\n", "| me.fit2 | 4 | 1794.465 |\n", "\n" ], "text/plain": [ " df AIC \n", "fe.fit 3 1906.293\n", "me.fit1 6 1755.628\n", "me.fit2 4 1794.465" ] }, "metadata": { "tags": [] }, "output_type": "display_data" }, { "data": { "text/html": [ "\n", "
  1. -150.664784396412
  2. 38.8368134349694
\n" ], "text/latex": [ "\\begin{enumerate*}\n", "\\item -150.664784396412\n", "\\item 38.8368134349694\n", "\\end{enumerate*}\n" ], "text/markdown": [ "1. -150.664784396412\n", "2. 38.8368134349694\n", "\n", "\n" ], "text/plain": [ "[1] -150.66478 38.83681" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "# We will compare the two models using the Akaike information criterion (AIC)\n", "ic = AIC(fe.fit, me.fit1, me.fit2)\n", "ic\n", "diff(ic$AIC)" ] }, { "cell_type": "markdown", "metadata": { "id": "JYzXOvZZXD3o" }, "source": [ "As you might have expected, `me.fit1` has the lowest AIC, and so seems to be the best model choice for the data. The difference in AIC between `fe.fit` and the other two models is quite big, which means that the mixed-effects models account for substantially more variance in reaction time than the simple linear model, even after accounting for increased complexity." ] }, { "cell_type": "markdown", "metadata": { "id": "5b-qYEf0Mz7n" }, "source": [ "*Notebook authored by Ven Popov, and edited by Krista Bond, Charles Wu, Patience Stevens, Amy Sentis, and Fiona Horner.*" ] } ], "metadata": { "colab": { "collapsed_sections": [], "name": "mixed-effects-models.ipynb", "provenance": [] }, "kernelspec": { "display_name": "R", "language": "R", "name": "ir" }, "language_info": { "codemirror_mode": "r", "file_extension": ".r", "mimetype": "text/x-r-source", "name": "R", "pygments_lexer": "r", "version": "4.2.0" } }, "nbformat": 4, "nbformat_minor": 1 }