{ "cells": [ { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "#Overfitting\n", "\n", "By Evgenia \"Jenny\" Nitishinskaya and Delaney Granizo-Mackenzie. Algorithms by David Edwards.\n", "\n", "Part of the Quantopian Lecture Series:\n", "\n", "* [www.quantopian.com/lectures](https://www.quantopian.com/lectures)\n", "* [github.com/quantopian/research_public](https://github.com/quantopian/research_public)\n", "\n", "\n", "---" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "# What is overfitting?\n", "\n", "When constructing a model, we tune both the parameters and the model by fitting to sample data. We then use the model and parameters to predict data we have not yet observed. We say a model is overfit when it is overly sensitive to noise and idiosyncracies in the sample data, and therefore does not reflect the underlying data-generating process.\n", "\n", "To understand why this happens, one has to consider the amount of noise present in any dataset. One can consider a set of data as $D_{T}$, the true underlying data that came from whatever process we are trying to model, and $\\epsilon$, some random noise. Because what we see is $D = D_{T} + \\epsilon$, we might fit our model to very perfectly predict for the given $\\epsilon$, but not for $D_{T}$.\n", "\n", "This is problematic because we only care about fitting to the sample insofar as that gives an accurate fit to future data. The two broad causes of overfitting are:\n", "* small sample size, so that noise and trend are not distinguishable\n", "* choosing an overly complex model, so that it ends up contorting to fit the noise in the sample" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "##Verbal Example: Too Many Rules (Complexity)\n", "\n", "Let's say you have the following dataset:\n", "\n", "| TV Channel | Room Lighting Intensity | Enjoyment |\n", "|------------|-------------------------|-----------|\n", "| 1 | 2 | 1 |\n", "| 2 | 3 | 2 |\n", "| 3 | 1 | 3 |\n", "\n", "You are trying to predict enjoyment, so you create the following rules:\n", "\n", "1. If TV Channel is 1 and Lighting Intensity is 2, then Enjoyment will be 1.\n", "2. If TV Channel is 2 and Lighting Intensity is 3, then Enjoyment will be 2.\n", "3. If TV Channel is 3 and Lighting Intensity is 1, then Enjoyment will be 3.\n", "4. In all other cases predict an average enjoyment of 2.\n", "\n", "This is a well defined model for future data, however, in this case let's say your enjoyment is purely dependent on the tv channel and not on the lighting. Because we have a rule for each row in our dataset, our model is perfectly predictive in our historical data, but would performly poorly in real trials because we are overfitting to random noise in the lighting intensity data.\n", "\n", "Generalizing this to stocks, if your model starts developing many specific rules based on specific past events, it is almost definitely overfitting. This is why black-box machine learning (neural networks, etc.) is so dangerous when not done correctly." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "# Example: Curve fitting\n", "\n", "Overfitting is most easily seen when we look at polynomial regression. Below we construct a dataset which noisily follows a quadratic. The linear model is underfit: simple linear models aren't suitable for all situations, especially when we have reason to believe that the data is nonlinear. The quadratic curve has some error but fits the data well.\n", "\n", "When we fit a ninth-degree polynomial to the data, the error is zero - a ninth-degree polynomial can be constructed to go through any 10 points - but, looking at the tails of the curve, we know that we can't expect it to accurately predict other samples from the same distribution. It fits the data perfectly, but that is because it also fits the noise perfectly, and the noise is not what we want to model. In this case we have selected a model that is too complex." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import pandas as pd\n", "import statsmodels.api as sm\n", "from statsmodels import regression\n", "from scipy import poly1d" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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ERERE5KKUtuBTyjMyCbvmKvy6dDl5Pb+8kJfWvkVSXiqxwTHVJ9V5+Dqx0l9Z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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.arange(10)\n", "y = 2*np.random.randn(10) + x**2\n", "xs = np.linspace(-0.25, 9.25, 200)\n", "\n", "lin = np.polyfit(x, y, 1)\n", "quad = np.polyfit(x, y, 2)\n", "many = np.polyfit(x, y, 9)\n", "\n", "plt.scatter(x, y)\n", "plt.plot(xs, poly1d(lin)(xs))\n", "plt.plot(xs, poly1d(quad)(xs))\n", "plt.plot(xs, poly1d(many)(xs))\n", "plt.ylabel('Y')\n", "plt.xlabel('X')\n", "plt.legend(['Underfit', 'Good fit', 'Overfit']);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "When working with real data, there is unlikely to ever be a situation where a ninth-degree polynomial is appropriate: our choice of function should reflect a belief about the underlying process, and real-world processes generally do not follow high-degree polynomial curves. This example is contrived, but it can be tempting to use a quadratic or cubic model just to decrease sample error." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "##Note: Model/Parameter Parsimony\n", "\n", "Just as the most elegant physics models describe a tremendous amount of our world through a few equations, a good trading model should explain most of the data through a few rules. Any time you start to have a number of rules even close to the number of points in your data set, you can be sure you are overfitting. Since parameters can be thought of as rules as they equivalently constrain a model, the same is true of parameters. Fewer parameters is better, and it is better to explain 60% of the data with 2-3 parameters than 90% with 10." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "##Beware of the perfect fit\n", "\n", "Because there is almost always noise present in real data, a perfect fit is almost always indicative of overfitting. It is almost impossible to know the percentage noise/signal in a given data set while you are developing the model, but use your common sense. Are the predictions surprisingly good? Then you're probably overfitting." ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "deletable": true, "editable": true }, "source": [ "# Example: Regression parameters\n", "\n", "How do we know which variables to include in a model? If we're afraid of omitting something important, we might try different ones and include all the variables we can find that improve the fit. Below we regress one asset that is in the same sector as the asset whose price we're trying to predict, and three other unrelated ones. In our initial timeframe, we are able to fit the model more closely to the data when using multiple variables than when using just one." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SLR R-squared: 0.776035553687\n", "SLR p-value: 2.05363375357e-83\n", "MLR R-squared: 0.858854648079\n", "MLR p-value: 1.42226038e-104\n" ] }, { "data": { "image/png": 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4WS388qShPPl/sxgzLIS120q4/qFvWbI2F4DWNgffrc/Hz9vGiLggnE6D38xOxGo5+Nvw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\nCvrWLgiH0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ozMycjRrXRkZGRGDKl+Jxu1ORB99OEbCobYGNLuu5fUu/+IPjaGwmg9HlGL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\nU5g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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Load one year's worth of pricing data for five different assets\n", "start = '2013-01-01'\n", "end = '2014-01-01'\n", "x1 = get_pricing('PEP', fields='price', start_date=start, end_date=end)\n", "x2 = get_pricing('MCD', fields='price', start_date=start, end_date=end)\n", "x3 = get_pricing('ATHN', fields='price', start_date=start, end_date=end)\n", "x4 = get_pricing('DOW', fields='price', start_date=start, end_date=end)\n", "y = get_pricing('PG', fields='price', start_date=start, end_date=end)\n", "\n", "# Build a linear model using only x1 to explain y\n", "slr = regression.linear_model.OLS(y, sm.add_constant(x1)).fit()\n", "slr_prediction = slr.params[0] + slr.params[1]*x1\n", "\n", "# Run multiple linear regression using x1, x2, x3, x4 to explain y\n", "mlr = regression.linear_model.OLS(y, sm.add_constant(np.column_stack((x1,x2,x3,x4)))).fit()\n", "mlr_prediction = mlr.params[0] + mlr.params[1]*x1 + mlr.params[2]*x2 + mlr.params[3]*x3 + mlr.params[4]*x4\n", "\n", "# Compute adjusted R-squared for the two different models\n", "print 'SLR R-squared:', slr.rsquared_adj\n", "print 'SLR p-value:', slr.f_pvalue\n", "print 'MLR R-squared:', mlr.rsquared_adj\n", "print 'MLR p-value:', mlr.f_pvalue\n", "\n", "# Plot y along with the two different predictions\n", "y.plot()\n", "slr_prediction.plot()\n", "mlr_prediction.plot()\n", "plt.ylabel('Price')\n", "plt.xlabel('Date')\n", "plt.legend(['PG', 'SLR', 'MLR']);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "However, when we use the same estimated parameters to model a different time period, we find that the single-variable model fits worse, while the multiple-variable model is entirely useless. It seems that the relationships we found are not consistent and are particular to the original sample period." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SLR R-squared: 0.445606562575\n", "MLR R-squared: 0.144017628069\n" ] }, { "data": { "image/png": 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hhBDiNPN5xQ4Azk1eyJy4GcyNm8mTnz7DPmsR9657FINWj7/Oj5jgkVcSTXXW\nThttnTYykjyvtuYtiqJgUIOw6bro7u0jwG/oo2Qs7b3odRqC/PXsrqvG7uzjiqwLuGHWNT4dY2Sg\nu+x2Y1cLkQQP2sangUdRFB566KGTXn/22Wd92a0QQgghhDhNOVxONlftJMQYRF7MdACCjUFcEnUu\n1867gr/n/5sqay0zolLRKGNfzGTttOF0qYOWWZ5I1Y2dACRFD/5l3teC9SbsLivFNU3MSosbsp2l\nvZfwED8URcHS495zlBya4PPxRQYcm+EZKvCc+mUrhBBCCCHEGWN/wyHabZ0sTpyHTnPikq3syDQe\nvuhubjv723x37tjPeexzOLnrvzfxk0c/w9ppG++Qx2WwktQTKTLAPYNSWDt0aWqnS6W1wzYQDi09\nbQCEj3B2jzd4chaPBB4hhBBCCHHK2FK1C4BzkucPel2n0XJO8gLiQmLG3Md7n5dR19xFe5ed1R8c\nGvNzvKFqkgNPfGgkAMV1Qwee9k4bLpc6cAZPS/fRwBMw+rLYo+XJWTwSeIQQQgghxCmj1FKJUWsg\nPTzFJ89v77LzyifFBPnrSYwO5uNtFRRWDD174GtV9e7AkxAVNCn9Z8TEArCrrIKPt1UM2qal/cQz\nePqXtIX7+37fkSdn8UjgEUIIIYQQp4Q+Zx817XUkmeJ8dqDoK2uL6Orp4+sXZvGja88C4H/f2Ofx\n+ZHeVtnQQWSY/7AFA3wpNsR9WKgx0M5fXtvDhl3VJ7WxHA08A0vautsI1PvjpzNOyBgjA8102DqH\nvC6BRwghhBBCnBJq2utxqi6fbIZ3ulRWf1DAO5tKiTEHcNmSFHJTzSzMjaG0xkp9S7fX+xxJZ08f\nlvbeSVvOBhAb5K50F5Zowc9f5bGXdrH1wInn3fSXpB5Y0tbTNiHL2fpFHt3HMxQJPEIIIYQQ4pRQ\n3uaeXfB24OnstnP/P7by2rrDxJoDufc7C9Hr3AURMhLdy7JqmoaeQfCV6qP7dyarQhtAqL+Jr2Rf\nhKXXQvY5leh1Cg+v3smuosaBNgfL3MvJIkz+9Pb10t3XMyHL2fpFSeARQgghhBCnIlVVeWDDf/Ns\n/isAVLbVAN4NPBV17fzsiY3sKmxkbnYUj/10KUkxIQPXE6LcYaO6scNrfXpqsiu09btu5pXkRmVS\n2HaIFZfYURR44J/bOVjaQn5hA+vzq5kWF8L0aeEDFdrMExh4+s/iGYoEHiGEEEIIMSXVtNezt76A\ntaWb6LIhuDPXAAAgAElEQVR3U2Htn+GJ98rzv9hby51PbaSupYtVKzK49+azCQownNCmv1hA/3k4\nE6lqCszwAGg1Wn666GbC/UNZX7+Ob1xjxul08ftntvLUK7vRahR+et0cdFoNLT0TV6GtX7Jp+AAs\ngUcIIYQQQkxJe+oPAuB0OdlZs4/ythqiAyPw14/vMFCnS+X59wv44+odAPzqpvnceGkOWo1yUtvY\niEAUZXIDT8IkBx5wl3/+2eJb0CgaPqp9k+99LR2b3YGl3cbXL8gkNd595o6lvyS1hzM8qqri6Owa\n19gSTLE8eenvh7wugUcIIYQQQkxJe+oKBn7+6PB6OmydXlnO9ub6I7z+6WFiIwJ59PalLMmLG7Kt\nQa8lOjyAmkkKPOEhRoL8J6dC25dlRqRy06xr6bB18kXbu9x5w2y+uiyNa1dkDrRpOVqS2hzgWeBp\n2byVbTd8i/aC8Z13FBscNeQ1CTxCCCGEEGLK6XXYKGg6TEpoAommOEpa3WfAjGU5m9Ppwul0AdDV\n08cbnx4myF/Po7ctJfm4/TpDSYgKpq3TRke3fdR9j1WPzUFja8+k79/5sovTl3Fu8gIOW8opcnzB\nzVfOQK87Fin69/B4OsPTeeQIuFw0rt/ok/GCBB4hhBBCCDEFFTQW43A5mBWby6LEOQOvj2WG54mX\nd3Pj79dQXNnK2xtL6Ozp4+rl6YQEGka+mWP7eCZylqe/SMJUCzyKovC9ed8kyRTPx0c2srF82wnX\n+5e0mf0928Njt7hnhCzbd6C6XCO2V51OOg4foXXXbo/HrPO4pRBCCCGEEBOkfznbrJgcQozBvHrg\nPWD0Mzwt1h427q7GpcK9f92MqoIpyMDl56R6/Iz4yGOFC7JThq8I5i1TpWDBYIw6Az9f8j1+tfYh\n/r7z38yPP2tgX1VLTysGrZ5AQ4BHz7JbLAD0tbbSeaSE4MyME66rTiedpWW0HziIdf8B2gsO4ezp\nASDv0YcJzkgfsQ8JPEIIIYQQZ7h3CteyrXo3vzr3VoKNQRPWr8PlpNRSgd3Zh1N14nS5jv7XSX7t\nPvx1fmSaU9FpdSSHJmDtbR/xkMkv+3RnFS4VFs2MZdvBelwulf+6OBd/o+dfg49VavN9aWqXS2Xj\nnhpeXFMEcEKJ7KkkNjiKc5MX8PGRjTR0NpESlgiApcdKuH8oinJyAYjB9AceAMu27QOBp7ehkYp/\n/ZvWnfk4u48d+uoXF0fgtBTaCw7RVVoqgUcIIYQQQozs84rtlLdV85dtz/HLc29Fo0zMrofXD77H\nfwo+GvL6goRZ6LTur6v3LP0xdmffqMamqiprt1di0Gu5/euzOVRuYU9xE5csnjaqcR47i2f0S9oc\nThc6redjfu79At5cfwSdVuGry9LImTYxM0pjERngDp/N3RZSwhJxOB1Ye9tJiMoc4c5j7C0W/GJi\nsFssWLbvIPHrq6h56x2qX3sDl92OX0w0EecsxjRjBiEzcjCazXQUFbPvF7+mu6raoz4k8AghhBBC\nnMFcLhc17fUA7K47yFuH1nB1ziU+6Wv1njdQVZWbZl8LwIGGYjSKhqtzVqJVtGg1WnQaLVpFi16r\nY07czIF7Q/1No+6voMxCXXMX581NINBfz7zp0cybHj3q55iCDAT660cdeF75pIi31pfw+B3LiDEH\nenTPtgN1BPrpeOJn53l8z2SJCHTv02nudu/Dae21AhDmYcECR3cPzp4egqdn458YT+uOfHb96HZs\njY3ow0JJ+9EPiVx27kmzRf6J7n1cPRJ4hBBCCCHESOq7muhzOZgTO4PytmpeOfAumeZUZkRnebUf\nm8POh8WfogKrZlyGQaOnrLWSZFM8X5txhVf76vfJ9koALlyQNK7nKIpCQlQQR6raRjVjs7uoic6e\nPl5ZW8zt180esX13bx91LV3MSI2Y8mEHICLAPfvU3O1eltYyULDAs8DT1+oOSobwMIKzsmjdkY+t\nuZm4Ky8n8RtfRxcw+D4gXUAABrPZ4xkeqdImhBBCCHEGq7LWApATlcEdi7+LBoUntz5La4/Vq/0c\nsZTjVF24VBdFzSWUt1XT53KQYR7d8rLRyC9sIDzEjxmpEeN+VkJUEE6XSl2zZ4dkqqpKea37M/w0\nv4qapk46u+28u6kUa6dt0HvK69pRVQYO8ZzqBpa0dbkDj+XoGTyelqS2tbQAYAgPJ2r5MlK+cxOz\nHn+UaTd/e8iw0y8gMQF7SwuO4/b3DEUCjxBCCCHEGaw/8CSa4siKSOObZ12NtbedJ7f8A6fL6bV+\nippLBn4+2HiYI5ZyANLNKV7r43h9DhetHTbiI4PQaDzbQD+c1Dh3CCmubPWofVNbD129DkKDjbhc\nKk+/vpfbH1vP397az++f2Yqt7+TPtrTGHZBOlcAT6heCVtHQdHSGp7ajARj+ENDj9ZekNoSHo9Hr\nif/KlQSmJHt072iWtUngEUIIIYQ4g1VZ6wB34AG4LPN8FiTMoqDpMK8ceNdr/RQ2HQFAo2goaCym\nuKUMgEwfzfC0tvcCYDb5eeV5M9Pds0T7S5o9al9e2w7A5UumkRpnYt+RZpraekhPMHG4qo0nX96N\nqqon3NMfeNJOkcCj0WgIDwgbWNJWffTvUnxIjEf391doM5pHX5gh4Gjg8WRZmwQeIYQQQogzWJW1\nFn+938BBkYqicOv8G4kOiuStQ2vYVbt/3H24XC6KWkqJDY4iIzyF0tZKChqLCdT7E+PhbMBotVi9\nG3iSY0IIDtCz/4hngaeszh1epsWb+OE1eeSlR/CH7y3mkZ+cS860cDbtqeHltcUn3FNaa8Wg0wyU\nwT4VRASE09bTjsPpoKa9HqPOiDnA00NH3YHHED6WwOMug91TLYFHCCGEEEIMweF0UNfRQGJI3AmV\nsAIM/vx88S3oNTr+e9tzNHW1jKufSmstPX29ZEekkxOViUt1YelpI908zWclsFva3YdThnsp8Gg0\nCjPSImhs7aHBMvK+kf4ZnpTYELJTwnngh0s4KzMSvU7L3d9aQFR4AP9eU8jne2sAd/nqiroOkmND\n0I6ijPVkiwgIQ0WludtCbUcD8cHRHv+Z2lvGHnj8E2SGRwghhBBCDOGlfW+zvmwLtR0NOFXXwHK2\n46WEJXLT7FV02btZc2TDuPorbHYvZ8uKSCP3uDNaMny0fweOn+Hx99ozZ6S5N+l7MstTXtdOoJ+O\nyNCT+zcFGfntdxbib9Ty+Eu7OVzVSlVDBw6n65TZv9Ovv1JbQdNh+lwOEkJiPb7XbrGARoPeNPrD\nVfUhwehDQ+muqhqxrQQeIYQQQggvev3g+/zPtuc52Fh80h6NqcDS3cabhz7irztfZHNVPgCJpsG/\npJ6TPB+AUkvluPosPFqwIDsyjcyIVLRHZwB8WaHN20vaAPLSI4GR9/HY+pzUNnWSEmc66QyZfsmx\nIdx5/Tz6HE7+37Pb2VHg3vB/qgWeyEB34NlTXwB4vn8H3EULDGGhKFrtmPr2T4jH1tiE0zZ41bt+\nEniEEEIIIbykrqORVw+8x4byrfz+s8f56Qf38fahj7H2tk/20AYUt5QC4HQ5+U/BhwAkDTLDAxCg\n9yc2KIqy1soxhzeH00Fh0xFCjEHEBkXhpzOSGZGKRtGQHp4ypmd6osXqXtJmDvHeDE9SdDDBAQb2\nlzQP+3lU1XfgUt3L2YazICeGb12Wi6W9lxc+PASceoGnf4Znf717/J4GHlVVsVssGMLNY+47IDER\nVJWempph20ngEUIIIYTwkjWH1wNwdc4lLE1eSHNPKy/ue5MfvPNr/vzF3zjQUDi5AwSKm92BJz74\n2BfThCECD7iXtnX19QyUHh4Nu8POn774Pyw9bcyNyxuY7fjh/Bv4zbKfEGz03eb8FmsvigJhIUav\nPVOjUZiZbqZphH08ZUfP3xkp8ABcdV4aF8x3H4yqUTy7ZyrpDzxdfe6AmTDEbOGXOTo6UB0ODOGe\nFTgYzECltsrh9/FI4BFCCCGE8ILevl4+K99CmJ+Ja3Mu5cdnf4u/XvkQ3579NeJDYtlWvZv71z/J\n/uNCT6/DhsvlmtBxFreUoVE0/HLprQTq/QnzN2EyBg/ZflqYuxpWWevolrU5XE4e2vQ/7K47yKyY\nHL4z5+sD12KCo5gRnT22N+Ahi7WX0CAjOi8XADgrw72s7Q/PbhtyaVt53dGCBXEjhxdFUbj12jzm\n50SzOC8OP4POe4OdAMdXZNNpdEQHenbI60DBgjGUpO7nH+8O6r21tcO2O7U+USGEEEKIKWpjxXZ6\n+nq5PHMFOq37K1aQIZBLMpezMuM8tlTt4oktz7C9eg8zo7Np7bHy0w/v45KM5Vw388px9/+fgg/Z\nVL6duJBoEk1xJJpiSQyJIy44emA8fc4+SlsrSTbFExMUyR8uuAuXyzXkPhM4PvBUsTBhtsfjOdhY\nxMHGYmbH5nLnku+j1+rH9wZHQVVVWqw9JMUMHeTG6sIFSZTWWPl4WwV3P/0Fy2Yn8O0rcgaKI9j6\nnOwqakRR3KWsPaHXafntzWd7fawTwV/vR6AhgC57N7HBUWg1nu3HGU9J6n5+ce7ZpJ66umHbSeAR\nQgghhBgnVVVZc3g9WkXDBWnnnnRdURQWJMzCT2dkX4N7r8P26j309PWyu/aAVwLPJyWf09xtoaaj\nnh01ewde1yoaEkxx/HD+9ThVFw6Xg4wId7EATypqTQt1B57y1pGrYR2vfybr0szzJzTsAHT19GF3\nuAj34v6dfnqdlh+vmsVFC5P53//sY8PuarYX1PNfF2dx+TmpPP36XqobO1m5KAV/45nxVTsiIJwu\ne/eoChbYBkpSj31JmzEiAkWvp6dGAo8QQgghhE+Vt1VT1V7H2YlzCPMffNO5TqMlJyqTXbX7ae6y\nsLPWHUoqrDXYHHaMOsOY+2+3ddLcbWFWTA4/XHAjVdZaqtvrqLTWUm2t43BLGf+7/QWWprhnETLN\nqR4/O8QvGLN/GGVjCDw6jY7siPRR3ecNvqjQ9mWZSWE8ettS1m6rYPUHBfzjnYO8vaGEZmsv6Ymh\n3PKVGT7re6qJDAinoq2ahFFVaHMHHqN57EULFI0Gv5hoeuvqhi0iIYFHCCGEEGKcthwt77wkad6w\n7fKis9lVu5+t1bs40FAEgEt1UdZaSXbk2INB/+xLangSYf4mwvxN5MVMH7j+9PbVrC/bwn8Ouauy\nZUZ4HnjAvaxtZ+0+2nqshA4R6I7XbuukvLWanKiMcQW5sZqIwAOg1SisXJTC4rw4Vn9QwMfbKggO\nMPDrm+Zj0I+t1PKpqL9wwWjO4Ok5emCoYRyBB8A/Lo6eqmr6rENXQpTAI4QQQggxDqqqsrVqF0at\ngVkxucO27Q8hbxR8OHDgZ5W1lsMt5WRHprOxfBvbq/dgc9qxO+3YHX0DPztVF8mmeLIj01mZcR5+\numPVx0qPFhSYFpY0aL//NfMrbK3aRZe9mxBjkMcby/ulHA08ZW1VzPYg8BxsLEJFZaaPCxMMZaAk\ntY8DT7+QQAM/XjWLryxNw2jQEhUWMCH9ThVnJ86mvK3K40IUfR0dtGzbjl9cHP4J8ePq2//oPp7h\nChdIlTYhhBBCiHGotNZQ39nE7LgZI85mxAfHEO4fSpfdXdL4G0f37hy2lNHT18vf819ie80e9tYX\ncKjpCFXttVh723G6XLhUF7vqDvDvfW/x3O7XTnhu/3KzoQJPqL+Jq3MuAdzL2YYrUjCY4wsXeGL/\n0dmrGVFZo+rHW1ra3TM84Sbv7+EZTmJ08BkXdgByojK5f8WdhHhYZrxp/UbUvj6iL1wx6r+LX+YX\n567U1lM79D4emeERQgghhBiHrVW7ATg7Yc6IbRVFIS96OuvLtxAdGMHcuDyCjUGUtJSzpSofm8PG\n1TmXcPX0lei1+pO+DLb1WLnnk0fYXLmTb826duD1stZKAg0BRAYMXfHqsszzabd1cvYoKq31Gyhc\n0Db8eSf99jcU4q/3Iy08edR9ecNELWkTo6eqKg1rP0HR6Yg6f/m4nzcww1NXB2GDzz7KDI8QQggh\nxDhsrd6FXqtnTuzwy9n69S9rmx9/FoqikBGeQlO3hXcK16KgcEHqORh0hkH/5TvU38R50xbR67Cx\ntdodtLrtPdR3NpEaljjsv5brtXpunHXNqPfvgPusFYNWT31H44htG7taaOhsIjcy0+MSxd52bEnb\nxM7wiJF1Fh+mu6KS8IXzMYSOvDxyJH6xR0tT18iSNiGEEEIIrytsKqGmvZ7ZMbn46T2bTViUOIfv\nzv0GV+e6l5ilm90loms7GsiLmU5E4PDnkpw3bREKCp+VbQagvG345WzeoCgKMUFR1Hc2DVsNC+DA\n0XLUk7V/B9wzPEaDlkA/Wcw01dSvWQtAzEUXeuV5hvAwNH5+w57FI4FHCCGEEKe88tZqbnj9dvbU\nFUxYnw6ng7/vfBGAy7NWeHyfVqPlovSlBBkCAcgwpwxcOz918Yj3RwaamRGdyaGmI1jsVkoH9u8k\njmL0oxcTHEmvw4a1d+hqWHDs/J2ZMZMXeCzWXswhfuPeHyK8y9HdTfPnX2CMjsKUN9Mrz1QUBf/Y\nWHqH2cMjgUcIIYQQp7zddQewOe0DZ9tMhLcLP6aqvY4L0s4dV0np/n0uwYZA5sXleXTP8mnuYPRZ\n8zb21B0EfDvDAxATFAVAfWfTkG1cqov9DYWE+ZmID/b8TBZvcDhVthfU88TLu2jrtMlytimoacMm\nXDYb0ResQNF4L4b4xcXistuHvC7zfEIIIYSYFAWNhymxVHB51vgrNZUdXdZVZqn0xtBG1NDZxBsF\nHxLmZ+L6vKvG9awgQyA3z7mO8IBQ9Fq9R/csiJ9FoimOI9ZK6AY/nZGYoMhxjWMksUefX9/ZNGTA\nq7LW0m7rZGnywgmZXem1O9hV2MjmfXVsPVCLra8GgPAQPy5ZlOLz/sXoNKz9BDQaolac79Xn9hcu\nGIoEHiGEEEJMin/kv0RVex1nxUwnKXR8Z3H0H7xZbq3B6XL6fLP8vvpCHC4H1+ReQoBh/DMJF2cs\nG1V7g87AwxfdzSub3qSCOtLNKWgU3y7ciQl2z/DUDVO4YKAcdbTvy1HnFzbwx+d30Gt3AhAaqOWS\nxSksyYsjMykMjUaWs00lnUdK6CopJXzhfIzm4fepjZYEHiGEEEJMOVXWWqra3Wvu82v3jyvw9Fcp\nA+hz9lHTXj/uADWSxq5mAJJMvu1nODqNluygaXxz7rUjN/aCmONmeIayf4IKFqiqyj/fPYjd4WLV\nigwW58XRVn+EefNm+LRfMXb1H38CQLSXihUcLzB12rDXZQ+PEEIIISbclqpdAz/n1+4f17P6z4YJ\nNLgPfCxt9f2ytsauFgCiAiN83tdUEeZvcpem7hx8hsfhclLQdJi44GjMAWE+Hcue4iYq6js456w4\nbrw0h/SEUClQMIU5e3po3rgJg9lM2OxZXn9+YEoKs57885DXJfAIIYQQYkKpqsqWqnz0Wj3TwhI5\n3FJGe2/HmJ/XX5Z5afJCYKICTzN6jY5Q/xCf9zVVaBQN0UGR1HcMXpr6SEsZNodtQspRv72xBICv\nLkvzeV9i/Jq/2Iyzp4foC1egaH2z3DQwJWXIaxJ4hBBCCDGhqqy17rNrYnNZkjQPFZVddQfG/Lyy\no/t3lqWcjUbRTEjhgsauFiICw32+b2aqiQ2KosfRS7vt5IC6b4KWs1XWt5Nf2EjOtHAyEn07kyS8\no37NWlAUoi/wbrECT51Z/5cKIYQQYtL1L2dbnDiXOXHuszh21Y498JS3VmHUGkgJTSAhJJbytmpc\nLpdXxjqY3r5eOmydZ9Rytn4xwe59PHUdJ+/jOdBQiKIo5EZl+nQM731RBsjszqmiq7yCzuLDhM2Z\nhTHSt5UEhyKBRwghhBATRlVVtlbtwqDVMyd2BvHBMUQHRrC3vgCH0zHQZlftftpGOOASwO7so7q9\njqTQeDQaDdPCErE57dR2NPjsPRzbv2P2WR9T1bHCBSfu4+nt6+VwSxlpYckDe6l8welS2byvFlOQ\ngQW5w1fmOh2pPgzyvtLQX6zgQu8XK/CUBB4hhBBCTJgqay01HfXMiZ2Jn94PRVGYG59Hj6OXnbX7\nANhctZM/bnqaOz/6w4gzP1XWWpyqi2lhiQCkHj18c7h9PK09Virbasb8HvortJ2RMzxDHD5a0HQE\np+ryeTnqwnIL1k47Z8+IRXuGlZ3urqpmx7dupuzZ5wbdQzUV9bV30Lh+A/qwUMLmz520cUhZaiGE\nEEJMmM1V+QAsSpoz8NpFaefyYfFnvFu4loUJs3nn0FoURaG7r5c/bvofogLNKJz85dZms6FWu1+f\nFno08IS7A8/7RevIjkwnKtBMl72bgqbD7K8vZH9jITXt9SgoPHDBL0g3p+BwOvik9HNmx+YS7cHh\nnQMzPEFn4AzP0SVt9V86i6e/HHWej/fvbNnvLmV+9owzb3an/qM19FnbqX37XVw2G6nfvwVFM3Xn\nLlRVpeT//oqzq4vEVTei0U1e7JDAI4QQQogJ0V+dzag1MDv22HkpcSExzI3PY2fNXl47+D5lbVWc\nnTiHq6ev5B/5L9Pc3Tro85y4MCgGEk1xzIrNBSDDPI2lKQvZWL6NX6x5gLjgaEpaKwb+RdyoNZBp\nTqW4pZSPj2wk3ZzCmiMbeH7P65j8Qrh32W0jnuHT2HnmzvCE+4ei1+pPOnz0QEMheq2ezAjf7atR\nVZUt+2sJ8NNxVsaZ9dm7+vpo2rAJvSkEQ7iZ+o8+xuVwkH7rD3xW9Wy8mjd+TssXWwienk3clZdP\n6lgk8AghhBBiQlS01VDX0ciixLn46YwnXLsy60J21uzl9YPvD/yeEpbIHy64a8jn5efnM3fuictk\nNIqGHy24idzITJ7d9QplrZVkmlOZGZ3FjKhsMs3T0Gg03P7BfWyu2sk3z/oq7xWvQ6vRYu1t5/ef\nPc695/2UlLCEIfs9k/fwaBQNCcExVHfU43K50Gg0tPW2U2GtYWZ0Ngat3md9l9ZYaWztYensePS6\nqfkl31dad+7C0dFB3JWXk/C1aym47w80fvIpqsNBxm0/nnKhp6+jg5K//h2Nnx8Zt/9k0sc3defB\nhBBCCHHKae2x8tqB9wYtOLClfzlb4pyTrmVHppFlTgUgNyqTdHPKmMegKArLUxfzzFf/xD+v+jN/\nWHEnX5txBTlRGei0OjSKhgtSz8Hu7OPRz/9KS3crF6ct5Qfzb6DD3sUrB94Z9vmNXS346/wIMgSO\neYynsqTQePqcfQOFCw40FAG+L0e95YB7OdvimXE+7Wcqavz0MwCiVixHHxxM7v2/Izgrk6b1Gyl+\n/ElcDsckj/BEXWXlOLu6iL3kYvxjYyZ7OBJ4hBBCCDE2nfYuXtz7Jv/c9Sou1V096tldr/Dawfe5\n95M/nbDsaajlbMf72swrCDQEsCrXO8tfjDoDfnq/Qa8tn7YIrUZLUUspWkXD5VkXcH7qYiIDzRQ1\nlw68ny9TVZXGrmb3viLlzNo03y/J5F7yV2mtBeBAozvwzIjyTcECp9PFG58e5s3PjmDQa5mTHeWT\nfqYqe1sblp35BKZOGzhcUxcYSM59vyUkZzrNm76g+NHHUJ3OyR3ocfrarACTVob6yyTwCCGEEGJU\nHE4HHxR/ym3v/463Cz/mw8Of8VnpZirbathWvZtgYxANXc38Zt2fqLa6/1W+vK2a+s4m5sbNxKgz\nDPrcmdHZ/POqP5MTleHz9xDiF8zChNkALEmeT0RgOABZEWl02ruGLGvdYe+i12EjMujM2kNyvOSj\ne5wqjla6O9R0GH+d30CFPG9SVZX7ntnKc+8XEOCn55c3zMPfeGbtyGjasAlcLqJWnHhopy7An5zf\n/QbTzBm0bNmG/Zl/Uvz4U9S8/e6kV3Hrs7YBoA8NndRx9JPAI04JLoeD4seepHX3nskeihBCnLFU\nVWV79R5+9tH9PLf7NVyqi1W5l+GnM/KvfW+yes8bAPxowU3cPOc6OmydvFHwAXDccrakyStN+2XX\n5lzK7NgZfO24GaXsCPeyuqKmkkHvOVaw4Mzbv9MvyeReUlZprcHa205dRyOZEalofFAxrK65iz3F\nTWQnh/H0L89nQe7kL4+aSKqq0rjuUxSdjsil55x0Xevnx/R77yZ84XzUhkaa1m+g/Nnn6CgsmoTR\nHtM/w6MPNU3qOPqdWRFZnLK6Kytp2rARR1cXYbNnTfZwhBBi1DaUbeW1g+/x2+V3nHJfllVVpcRS\nwQt7/8OhpsNoFA0r08/j2hmXEWIMItAQwHO7X2NfwyHSwpKZfbRi2pojG9havZtv9bazpWoXRp2R\n2TG5k/xujkkwxfLrpT864bWso1XGippLWZF28hfMM7lgQT+TXwjBxiAq22oobHYHw+mR6T7pa3eR\ne1nkivlJBAcMPjM4kVx2OxrDxI2jq7SM7opKzIsWog8JGbSN1mhk+t2/Yue2bSTb7BT/+Qmav9hC\nyHTf7qkajr3NPcNjkBkeITzXZ3Vvfu0sKZn0aVohhBiLbTV7aOxq4T8FH072UE5yoKGQHTV7T3it\n297Dturd/G3Hi/z4/Xu5+5OHOdR0mHlxeTy28l6+M/frhBiDALg4fdnAOTjXzrgMRVFQFIUL087F\n6XLy7K5XaehsYl7cTAxDLGebKhJD4vDX+1HUfPIMT3OXhXWlm4AzsyR1P0VRSDbF09DVzO66gwBk\n+6gc9a4i9wGns7Mmf99O3Ydr2PbNm7DuH/4w3H6Ori6KH3+K3bf/DEd394jte+vr6a488cDcxnVH\nixWcv3zE+xWdDvOis9EGBtKyeQuqa/B9aBNBZniEGIM+q/t/nL7WNuwWC0bzmfsva0KIU1NFWzUA\nG8q2cHXOJVNmhsDhcvL45mfodvTyj6/8iQCDPztr9vLnzX/H6XJvgg7U+3N2whwuSl/KjOiTN6Zr\nNVruOvcHFDeXMee4ggRLUxby4r43j6vONnWWsw1Fo9GQaU5lb30B1t52TH4hOJwO3itexxsHP8Dm\ntAjGKo4AACAASURBVDM9MsPnB2xOdUmmOA40FvFFxQ60Gi3p4Sle76PP4WJ/SRPxkYFEhwd4/fmj\n1bZnLy67neLHnmTWE4+iN7m/zKsuF92VlbQfLMB68BCq04l/bAzNX2zB1uieoeooLCJszuwhn91d\nXcO+X/wKZ1c34Qvnk7DqWgJTkmnauBG9yUToMPceT6PXY164gMZPP6OjqHjSZnn62tpQ9Hq0AZP/\n5wYSeMQpoj/wAHQeKZXAI4Q4pXTbe2jqasGoM2Jz2Hiz4CO+P/+bkz0sAPbWF9Bh7wJgd/0BliTN\n5+1DH+NSXVybeymzYnJJC09Gqxn+HI2IgHAiksJPeC3QEMCSpPl8VrYZP51x4HDQqS7r/7N3noFx\nVFcbfravVtpV773Lcu+4UYzpHRwIncT0hB5KINQk5AsJPaQBBhIINcR0jI0L4N5t2bJ67221vc/3\nY7Qry5LVLFkynucPeHZumdHOzj33nPOeqEz2NB6gqLUcjVLN8p3v02BuJlSjZ9nMn3Jy2lzkshM7\nSCYlTKxT5PS6yI3MGBXPXVFVO3anl+k5Y+/dAbBVVgLgam+n+LkXCZs+DdP+A5gOFOKxWHo3kMkI\nmzEd485dWErLjmjwuM1mCn//B7xWG7rUFNq3bKN9yzaUej0es4WEiy5Arhz8kj1q4Xya16yldcPG\nMTN4XMZO1GGh40bJUDJ4JI4L/CFtAJbSUiLnzh7D2UhISEgMjapO0btzesYCdjUUsK5iIxfmnUG8\nfuwXct9Xbgn8/9baPeREZlDUVs6kmFwun3TBUfd/ZtbJrK3YyNyk6aNalHIk8QsXvL7jPTocnchk\nMs7OPpUrJomy2RLdwgUAuaOUv7OzK39n+jiQofbYbDgamzBMmohcqcS4ew/G3WIYqCY2hog5szFM\nzMcwMR9FkBZ7XT0qgwGFTsf2n9+EpbRvEQyfx0PRM8/iqG8g8bJLSL32aoy7dtO8dh3GnbuRKZXE\nnrFkSHMNnTJZDGvbsIn0n9+AbBTEJPpDEATcRiPB6WnHdNz+kAweieOCQz081rLyMZyJhISExNDx\ny/dmhKeQE5nOC5te5w/f/YWnTv8VYdq+E5GPBTa3nW31e4nXx+ATBHY1FAQWsvNTZo3IGJkRqfzh\njIeIDxn7RetgyYpMRyGT0+HoJDcyg2Uzf0paePJYT2tckRyagAwZAsLoCRYUt6BUyJicOfb5UrYq\nMbcmJCOdpJ9cRv1nX6BLSsKQPwFNdO/5HZqsrwoPP6LBU/Hacjr37iNi7mxSr7kKmUxG+IzphM+Y\njuD14rU7UIYMrcCtXKUi8qS5NH+7BlNhIaETj61n1Wu1IXg84yZ/ByTRAonjBL+HR6kPwVJWLgkX\nSEhIHFf4DZ7UsETmp8zi4gln0Whp4en1L2Nz2cdsXltrd+P2ulmUOpfZiVNxeJysKFyJQiZnbtLI\nKWJmRqSiUweNWH+jjVap4Z75N3H3vGU8efp9krHTBxqlmji9WFQyt8sjNpK0dNgpqzUyIS1yXNTd\nsVZUAhCcnobKYCD16iuJPmVRn8bO4YRkZeBqawsol/lp+OIrGr9aSXB6Gjn33NXLEyNTKIZs7PiJ\nPmURAM1r1gOih6r4uRfFmj5DwFpRic/jGVIb/3WqQseHQhtIBo/EcYK7sxOZUolh4kTcRiOutvax\nnpKEhITEoKky1qKQK0jUizVErpx8EUsyF1FprOWPP/wVp8c1JvP6vmorAItSZzMncSog5mRMjctH\n36XAdqIyJ2ka81NmnfC5Ov1x3bSl3DTzKkLUw1uU98eHa4oRBFg8K2nE+x4O1q78HV1a2pDbhmSJ\nHrBDvTzG3Xsof205qtBQJjzyEIqgkd0QCJ08CXVUFG0bNuJ1OGj4/Eta1n9H8XMvUPvRx4PaOLaU\nlrH77vto/PqbIY3tLzqqDpcMHokTEEEQaF63vkd42mBxd3aiCjUQkiXKXlrK+nYNS0hISIw3fD4f\n1Z11JOnjUCrEnWqZTMaNM37KvOSZFLaU8vzGV/F0KaIdK9rtRgqai8iJzCA2JJqcyAxCNXpg5MLZ\nJH7czEyYzBlZi0a83+Z2G6u2VBEfGcxpM8eHd81aUYlMoUCXPHQDLLB26TJ4bLV1HHzmz8jkcvIe\nfhBNdPSIzhVAJpcTs/hUvHY7zWvXUf/pZyhDQlBHRVH173eoeG35gLLV9voGQKwFNBS6Jaklg0fi\nBMS4ew8lz79ExfI3h9zW3WlCFRpKSKboNj9SLKyEhITESOBwOwKSzEdLo7UFl9dNaljPhZJcLueO\nuTcwNW4COxsK+OvWf+ETjl3djI3V2xEEgUWpcwLzOSNrEbEh0czu8vZISIwFH3xbjMcr8NMzc1Eo\nxn6pKni92KqqCUpKRK4auvDGoWsXt6lbkS3rjts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X0ev1bN26lexBuBlnzpw5mtMc9+zY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\n0CEGDhzI119/TVxcnLr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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Load the next of pricing data\n", "start = '2014-01-01'\n", "end = '2015-01-01'\n", "x1 = get_pricing('PEP', fields='price', start_date=start, end_date=end)\n", "x2 = get_pricing('MCD', fields='price', start_date=start, end_date=end)\n", "x3 = get_pricing('ATHN', fields='price', start_date=start, end_date=end)\n", "x4 = get_pricing('DOW', fields='price', start_date=start, end_date=end)\n", "y = get_pricing('PG', fields='price', start_date=start, end_date=end)\n", "\n", "# Extend our model from before to the new time period\n", "slr_prediction2 = slr.params[0] + slr.params[1]*x1\n", "mlr_prediction2 = mlr.params[0] + mlr.params[1]*x1 + mlr.params[2]*x2 + mlr.params[3]*x3 + mlr.params[4]*x4\n", "\n", "# Manually compute adjusted R-squared over the new time period\n", "\n", "# Adjustment 1 is for the SLR model\n", "p = 1\n", "N = len(y)\n", "adj1 = float(N - 1)/(N - p - 1)\n", "\n", "# Now for MLR\n", "p = 4\n", "N = len(y)\n", "adj2 = float(N - 1)/(N - p - 1)\n", "\n", "SST = sum((y - np.mean(y))**2)\n", "SSRs = sum((slr_prediction2 - y)**2)\n", "print 'SLR R-squared:', 1 - adj1*SSRs/SST\n", "SSRm = sum((mlr_prediction2 - y)**2)\n", "print 'MLR R-squared:', 1 - adj2*SSRm/SST\n", "\n", "# Plot y along with the two different predictions\n", "y.plot()\n", "slr_prediction2.plot()\n", "mlr_prediction2.plot()\n", "plt.ylabel('Price')\n", "plt.xlabel('Date')\n", "plt.legend(['PG', 'SLR', 'MLR']);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "If we wanted, we could scan our universe for variables that were correlated with the dependent variable, and construct an extremely overfitted model. However, in most cases the correlation will be spurious, and the relationship will not continue into the future." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "# Example: Rolling windows\n", "\n", "One of the challenges in building a model that uses rolling parameter estimates, such as rolling mean or rolling beta, is choosing a window length. A longer window will take into account long-term trends and be less volatile, but it will also lag more when taking into account new observations. The choice of window length strongly affects the rolling parameter estimate and can change how we see and treat the data. Below we calculate the rolling averages of a stock price for different window lengths:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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L7poqrDYHOm3PPnCbzgj0PAxaXn98GtozFkOdPyOZq8fHER/h2zp0LNjfHQxU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5bmFqwtrfQWHkEslzP/Zz9Gk5KMtLoKmHwfIZFEgkyvR6YfuRgZd8VlOPr6MNfUIhKLESvkiOUK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\n8FLZW+xvLGDA4etBFKWJ4I7F1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y67mfX564jSjzynuTeSJOFob6fjaDENH33CyT8/zr4H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\n8fWkfaemtGgdSlTrEFq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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Load the pricing data for a stock\n", "start = '2011-01-01'\n", "end = '2013-01-01'\n", "pricing = get_pricing('MCD', fields='price', start_date=start, end_date=end)\n", "\n", "# Compute rolling averages for various window lengths\n", "mu_30d = pricing.rolling(window=30).mean()\n", "mu_60d = pricing.rolling(window=60).mean()\n", "mu_100d = pricing.rolling(window=100).mean()\n", "\n", "# Plot asset pricing data with rolling means from the 100th day, when all the means become available\n", "plt.plot(pricing[100:], label='Asset')\n", "plt.plot(mu_30d[100:], label='30d MA')\n", "plt.plot(mu_60d[100:], label='60d MA')\n", "plt.plot(mu_100d[100:], label='100d MA')\n", "plt.xlabel('Day')\n", "plt.ylabel('Price')\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "If we pick the length based on which seems best - say, on how well our model or algorithm performs - we are overfitting. Below we have a simple trading algorithm which bets on the stock price reverting to the rolling mean (for more details, check out the mean reversion notebook). We use the performance of this algorithm to score window lengths and find the best one. However, when we consider a different timeframe, this window length is far from optimal. This is because our original choice was overfitted to the sample data." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "# Trade using a simple mean-reversion strategy\n", "def trade(stock, length):\n", " \n", " # If window length is 0, algorithm doesn't make sense, so exit\n", " if length == 0:\n", " return 0\n", " \n", " # Compute rolling mean and rolling standard deviation\n", " rolling_window = stock.rolling(window=length)\n", " mu = rolling_window.mean()\n", " std = rolling_window.std()\n", " \n", " # Compute the z-scores for each day using the historical data up to that day\n", " zscores = (stock - mu)/std\n", " \n", " # Simulate trading\n", " # Start with no money and no positions\n", " money = 0\n", " count = 0\n", " for i in range(len(stock)):\n", " # Sell short if the z-score is > 1\n", " if zscores[i] > 1:\n", " money += stock[i]\n", " count -= 1\n", " # Buy long if the z-score is < 1\n", " elif zscores[i] < -1:\n", " money -= stock[i]\n", " count += 1\n", " # Clear positions if the z-score between -.5 and .5\n", " elif abs(zscores[i]) < 0.5:\n", " money += count*stock[i]\n", " count = 0\n", " return money" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Best window length: 11\n" ] } ], "source": [ "# Find the window length 0-254 that gives the highest returns using this strategy\n", "length_scores = [trade(pricing, l) for l in range(255)]\n", "best_length = np.argmax(length_scores)\n", "print 'Best window length:', best_length" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "11 day window: 31.177\n", "142 day window: 362.058\n" ] } ], "source": [ "# Get pricing data for a different timeframe\n", "start2 = '2013-01-01'\n", "end2 = '2015-01-01'\n", "pricing2 = get_pricing('MCD', fields='price', start_date=start2, end_date=end2)\n", "\n", "# Find the returns during this period using what we think is the best window length\n", "length_scores2 = [trade(pricing2, l) for l in range(255)]\n", "print best_length, 'day window:', length_scores2[best_length]\n", "\n", "# Find the best window length based on this dataset, and the returns using this window length\n", "best_length2 = np.argmax(length_scores2)\n", "print best_length2, 'day window:', length_scores2[best_length2]" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Clearly fitting to our sample data doesn't always give good results in the future. Just for fun, let's plot the length scores computed from the two different timeframes:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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2k3XbCwGwWkwkxboIc1ixWs3ERIaQMTiOjMGxhDgsNDb5qWvwUulpoMrTSKPX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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(length_scores)\n", "plt.plot(length_scores2)\n", "plt.xlabel('Window length')\n", "plt.ylabel('Score')\n", "plt.legend(['2011-2013', '2013-2015']);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "To avoid overfitting, we can use economic reasoning or the nature of our algorithm to pick our window length. We can also use Kalman filters, which do not require us to specify a length; this method is covered in another notebook." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "#Avoiding overfitting\n", "\n", "We can try to avoid overfitting by taking large samples, choosing reasonable and simple models, and not cherry-picking parameters to fit the data; but just running two backtests is already overfitting.\n", "\n", "##Out of Sample Testing\n", "\n", "To make sure we haven't broken our model with overfitting, we have to out of sample. That is, we need to gather data that we did not use in constructing the model, and test whether our model continues to work. If we cannot gather large amounts of additional data at will, we should split the sample we have into two parts, of which one is reserved for testing only.\n", "\n", "###Common Mistake: Abusing Out of Sample Data\n", "\n", "Sometimes people will construct a model on in-sample data, test on out-of-sample data, and conclude it doesn't work. They will then repeat this process until they find a model that works. This is still overfitting, as you have no overfit the model to the out-of-sample data by using it many times, and when you actually test on true out-of-sample data your model will likely break down.\n", "\n", "###Cross Validation\n", "\n", "Cross validation is the process of splitting your data into n parts, then estimating optimal parameters for n-1 parts combined and testing on the final part. By doing this n times, one for each part held out, we can establish how stable our parameter estimates are and how predictive they are on data not from the original set.\n", "\n", "##Information Criterion\n", "\n", "Information criterion are a rigorous statistical way to test if the amount of complexity in your model is worth the extra predictive power. The test favors simpler models and will tell you if you are introducing a large amount of complexity without much return. One of the most common methods is [Akaike Information Criterion.](https://en.wikipedia.org/wiki/Akaike_information_criterion)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "*This presentation is for informational purposes only and does not constitute an offer to sell, a solicitation to buy, or a recommendation for any security; nor does it constitute an offer to provide investment advisory or other services by Quantopian, Inc. (\"Quantopian\"). Nothing contained herein constitutes investment advice or offers any opinion with respect to the suitability of any security, and any views expressed herein should not be taken as advice to buy, sell, or hold any security or as an endorsement of any security or company. In preparing the information contained herein, Quantopian, Inc. has not taken into account the investment needs, objectives, and financial circumstances of any particular investor. Any views expressed and data illustrated herein were prepared based upon information, believed to be reliable, available to Quantopian, Inc. at the time of publication. Quantopian makes no guarantees as to their accuracy or completeness. All information is subject to change and may quickly become unreliable for various reasons, including changes in market conditions or economic circumstances.*" ] } ], "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": "2.7.12" } }, "nbformat": 4, "nbformat_minor": 0 }