{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Ensemble average\n", "\n", "> Marcos Duarte \n", "> Laboratory of Biomechanics and Motor Control ([http://demotu.org/](http://demotu.org/)) \n", "> Federal University of ABC, Brazil" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A usual procedure employed to present the average pattern of a variable as a function of time or movement cycle across trials or across subjects is to show the ensemble average curve, which is a fancy name for (typically) the mean $\\pm$ 1 standard-deviation curve.\n", "\n", "Let's simulate some data and explore different aesthetic variations to present the ensemble average." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2017-12-30T06:43:19.005241Z", "start_time": "2017-12-30T06:43:18.753745Z" } }, "outputs": [], "source": [ "import numpy as np\n", "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import sys\n", "sys.path.insert(1, r'./../functions') # add to pythonpath" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2017-12-30T06:43:20.082798Z", "start_time": "2017-12-30T06:43:19.687660Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# slighly different data with slightly different duration (number of points)\n", "from scipy.signal import butter, filtfilt\n", "# Butterworth filter\n", "b, a = butter(1, (5/(100/2)), btype = 'low')\n", "y = np.empty([120, 20]) * np.NaN\n", "for i in range(20):\n", " t = np.arange(0, 100 + np.random.randint(-20, high=20)) / 100\n", " y[0: t.size, i] = 2*np.sin(2 * np.pi * t) + np.random.randn(t.size) / 2 + t.size / 20\n", " y[0: t.size, i] = filtfilt(b, a, y[0: t.size, i])\n", "\n", "plt.figure(figsize=(9, 4))\n", "plt.plot(y)\n", "plt.xlabel('data points')\n", "plt.title('Plot of trials')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To calculate the mean and standard deviation across these trials the different trials must have the same number of points. \n", "We can do this with the [time normalization of data](http://nbviewer.ipython.org/github/demotu/BMC/blob/master/notebooks/TimeNormalization.ipynb), where we will normalize each trial to the same percent cycle (from 0 to 100%):" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2017-12-30T06:44:56.058975Z", "start_time": "2017-12-30T06:44:55.818663Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from tnorm import tnorm\n", "# yn, tn, indie = tnorm(y, axis=0, step=1, k=3, smooth=0, mask=None,\n", "# nan_at_ext='delete', show=False, ax=None)\n", "yn, tn, indie = tnorm(y)\n", "# plot of the normalized data\n", "plt.figure(figsize=(10, 5))\n", "plt.plot(yn)\n", "plt.xlabel('Cycle [%]')\n", "plt.title('Plot of normalized trials')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So, the trials have the same number of points, now we can calculate the mean and standard deviation curves and plot the ensemble average" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2017-12-30T06:45:17.154497Z", "start_time": "2017-12-30T06:45:16.979578Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ym, ysd = np.mean(yn, axis=1), np.std(yn, axis=1, ddof=1) # one line is all we need\n", "# plot of the ensemble average\n", "plt.figure(figsize=(10,5))\n", "plt.errorbar(tn, ym, ysd, linewidth=2)\n", "plt.xlabel('Cycle [%]')\n", "plt.title('Plot of ensemble average')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And here are some aesthetic variations to show the ensemble average:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "ExecuteTime": { "end_time": "2017-12-30T06:45:30.711466Z", "start_time": "2017-12-30T06:45:29.897895Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/marcos/miniconda3/lib/python3.6/site-packages/matplotlib/cbook/deprecation.py:106: MatplotlibDeprecationWarning: Adding an axes using the same arguments as a previous axes currently reuses the earlier instance. In a future version, a new instance will always be created and returned. Meanwhile, this warning can be suppressed, and the future behavior ensured, by passing a unique label to each axes instance.\n", " warnings.warn(message, mplDeprecation, stacklevel=1)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.rc('axes', labelsize=14, titlesize=14)\n", "plt.rc('xtick', labelsize=14)\n", "plt.rc('ytick', labelsize=14)\n", "plt.figure(figsize=(10, 7))\n", "\n", "ax1 = plt.subplot(221)\n", "ax1.set_title('Errorbar every two data points and zero cap size')\n", "ax1.errorbar(tn, ym, ysd, color = [0, 0, 1, 0.5], capsize=0, errorevery=2, lw=4)\n", "\n", "ax2 = plt.subplot(222)\n", "ax2.set_title('Mean curve and shaded area')\n", "ax2.fill_between(tn, ym+ysd, ym-ysd, color = [0, 0, 1, 0.5])\n", "ax2.plot(tn, ym, color = [0, 0, 1, .8], lw=2, label='Data')\n", "ax2.legend(fontsize=14, loc='best', framealpha=.8)\n", "ax2.grid()\n", "\n", "ax3 = plt.subplot(223)\n", "ax3.set_title('Semi-transparent shaded areas overlap well')\n", "ax3.fill_between(tn, ym+ysd, ym-ysd, color=[0, 0, 1, 0.5], edgecolor='')\n", "y2 = np.mean(ym) - ym + ym[0]\n", "ax3.fill_between(tn, y2+ysd, y2-ysd, color=[1, 0, 0, 0.5], edgecolor='')\n", "ax3.set_xlabel('Cycle [%]')\n", "p1 = plt.Rectangle((0, 0), 1, 1, color=[0, 0, 1, 0.5])\n", "p2 = plt.Rectangle((0, 0), 1, 1, color=[1, 0, 0, 0.5])\n", "# fill_between() command creates a PolyCollection that is not supported by the legend()\n", "ax3.legend([p1, p2], ['Group 1', 'Group 2'], fontsize=14, loc='best', framealpha=.8)\n", "\n", "ax4 = plt.subplot(224)\n", "ax4.set_title('Combine errorbar and shaded area')\n", "ax4.errorbar(tn, ym, ysd, color = [0, 0, 1, 0.5], capsize=0, lw=1.5)\n", "y2 = np.mean(ym) - ym + ym[0]\n", "ax4.fill_between(tn, y2+ysd, y2-ysd, color=[1, 0, 0, 0.5], edgecolor='')\n", "ax4.set_xlabel('Cycle [%]')\n", "p1 = plt.Line2D((0, 1), (1, 1), color=[0, 0, 1, 1], lw=1.5)\n", "p2 = plt.Rectangle((0, 0), 1, 1, color=[1, 0, 0, 0.5])\n", "# fill_between() command creates a PolyCollection that is not supported by the legend()\n", "ax4.legend([p1, p2], ['Group 1', 'Group 2'], fontsize=14, loc='best', framealpha=.8)\n", "for i in range(4):\n", " plt.gcf().add_subplot(2, 2, i + 1).set_xlim(0, 100)\n", " plt.gcf().add_subplot(2, 2, i + 1).xaxis.set_ticklabels([])\n", " plt.gcf().add_subplot(2, 2, i + 1).yaxis.set_ticklabels([])\n", "\n", "plt.suptitle(r'$\\mathrm{Aesthetic\\,variations\\,for\\,the\\,ensemble\\,average}$', fontsize=24, y=1.04)\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Instead of mean and standard deviation we can use median and the first and third quartiles:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2017-12-30T06:47:24.336704Z", "start_time": "2017-12-30T06:47:24.161285Z" } }, "outputs": [ { "data": { "image/png": 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cIiI7UoIhNaY27Yhr02sVESmNEgyRGhLPGUiVmIhIulCCIZLElHCISKpSgiEJoR2jiEjtpgRDJMUoeRORVKAEQ6pNOzwRESlJCYZIilOCJyLJSAmGiIiIhE4JhlSafjGLiEhFlGCIpCElgSISNSUYUi7tqEREpCqUYIiIiEjolGCIiIhI6JRgSDEaEklPel9FpKYpwRAREZHQKcEQERGR0CnBqMXUbS4iIolSYYJhZovNzJVy055JJIUpwRSRRKobxzoHAnViyu2A6cArCYlIEqZwZ7L4ziERRyIiIumuwgTDObcmtmxm5wObgFcTFZRUn5IJqQp9bkQkLJWag2FmBpwPPOec25KYkERERCTVVXaS59FAR+A/Za1gZiPNbJqZTVuzZk1Zq0nINJ4uIiLJpLIJxgjga+fcjLJWcM6Ncs71dc71bdOmTfWik1IpmZCaos+aiFRV3AmGme0CnAQ8mbhwREREJB1UpgdjGJALvJSYUERERCRdxJVg+JM7LwBecs5lJTYkiaUuakk2+kyKSDziOQ8GwGBgH2Bo4kKRdJSzPZ9Fazczf3V2UHflS9+ycev2oHzZC9+wR8vGdGjZOIoQRUQkAeJKMJxznwGW4FgkxU1euI5FazezaO3moK77ze9T4Iqv978ZK4qV35m5codtnfzIRAbu0zohcb4/eyULY2I8a9QkcrYXkLM9P6i7YOzXtG7aIChPXriOzrs2o2WT+gmJSUQk3cTbgyECgHNF2cLN/5vN3F+KRszOGjW51Mfs1boJe+/SlA/nrALg3jN60qJxPf44ZhoA953Zk5/XbWXpr1t4bfoyAGYs3cCMpRuCbfzh6an036sV/Tu1qlS8L039eYdtXfTcN8XWmbxw/Q6P+/iH1cXKha8tNul4ddpSuu+2U6XiSUc6OZeIlEYJRpJJ1i/rZb9u4X8zVvDfb5cHdc9MWlJsnd4dWpDZugl7tW7C3R/OA2DOrcfRsJ53pvnC13ZK792LPe53BxSVCxOM0cMO5Mv5a3l64iIAxs9bw/h5xc+r8scxXxfrUbju9Zks+9VLVIK6N2bt8FqO7LoLma2b8NQEb9svXHAwDerVoWG9DIY8OAGAx4f2YW12Lje+ORuAnnu0YMGqLNZm5wbb+fNrM4tt99Lnv2GvNk3o2LpJUFdQ4MjIUOefiNQ+SjAkLgPu+myHuuuP70qXts0YNvprAN645NBgWWGCUZhcVNbhXXfh8K67BAnGA2f1YvLCdXz10zqWrPMSiE/nFu9leOnrpTtsZ8j+7ThgjxYc0KEFpz42CYCnhh3o/fUTjEP23nEo5rgebQGCBON/lx5KQYFj+YatDPzXZ8G2f1ixKRhuGTdrx6Gezje+R5tmDWjTrKjn4/6P57HrTg2Dcm5ePg3qVq2dRESSlRIMKdXqrBxufXtOUG5QN4Oju+/KKb3bB0MbFx7WqcbiOalXe07q1R4o6gkZdW4f1m/eFvRS3HbSvuzesjF77NyIo+4dD8Aj5/QOLYaMDGOPmImohdsujOe+M3uycM1mFq7ZHCQbeQWOlRtzWLkxJ3jc/R/PL7bd7jd/wJ6tGtN5l2ZB3cat22neqF5osYuI1DQlGFKqI+/5gqycvKD89Y1HsVPD5NrhHbOv18tQmGCc2z8zwmiKD/WM85OOubcdx5qsXFZn5XLqY18BcNnhe7M6K4dXpnnDQc65IDEp1OvWD+mya1HCsTk3jyYNUuffNVmH+kSk5qTON1YaSrYv4VWbin5lZ+XkcXiXNnz2ozfvIdmSi1TRsF4d9mjZuFjPx5+O7QIQJBhzbj2On9ZkM29VFle//B0A9TIyik2g7X3bRxzRdRdO2H+3GoxeRKTqKnstEklTc3/ZxMmPTAzKj5zTm6f9uQqSWA3r1WHf3ZoX6wGZecsxvHpR/6Ccm1fAe7N/4dIXio6AWbFha43GKSJSGerBECbMX8vFz00nK7doSGTI/u0ijEga1qvDgZktg/Kk649g3MyVjJu1km9/9g65Hfzvzznn4A5RhVgpydZbJyKJpx4MYdjoqWTl5jFkPyUVyapd80ZcMHAv/htzpM62/ALGfLU4KG/dll/KI0VEoqEEQ8grcFw4aC8eOvuAqEORSnjvyoEc033XoPy7RyeyZN3mch4hIlJzlGDUoGS6SNTjX/wU3L/t5B5c/5tuOiFUiunWbidG/aFvUJ77SxYnPjSBT+euijAqERGPEoxaaOxXi7nzvblB+dx+e0YYjYTl6O67siknLzhPSbJLpoRbRMKnBKMW+r+3vo86BEmAJ4b24c/HdsFiOqJ+Xrel7AeIiCSQEoxa6qYTukcdgoQsI8O49PC9GTv8oKDumPu/4LHPfyrnUSIiiaEEo5b4aE7RuPyfj+3C+QM6RhiNJNKgzm2C+znbC7jr/bnlrC0ikhhKMBIkmcaXJ/20rtgJmi49fO8Io5Ga9MwfD6JDzFlE73j3B3Lzkvdw1mT6vxGR6lGCkeZmL9/IiGemsS2vIOpQJAKDOrfhg6sGBeUnxi/kd498xYLVWeU8SkSk+pRgpLnznp5Kdm4eJ+jMnLVWo/pFl4Lv0LIxc1ZuYsiDEyKMSERqAyUYaW7d5m0M6tyGe8/oFXUokgTevXIgp/bendyYHq1NOdsjjEhE0pUSjDS0Njs3uH9AhxY8PrQ39evqrRZo2qAu95zRk4fPKTpr68mPTOSnNdkRRiUi6Uh7nTSzYcs2hv5nSlAePexAGtfXNe2kuNjLvi9cs5mTH57IZ3NXRxhR6TTpUyR1KcEISbJ8Ef7h6anM/aVoAl+LxvUjjEZSwXH7tiUrN48/jv066lBEJI0owUgzM5dtLHZYokhFHv19b645ujPOFdVtz9dRRyJSPUow0kDsZbp3a96QF0YcHGE0kmoyMowrjtyHJ87tE9SdP3Yam3PzIoxKRFKdBudTXM72fEY+W3RxqxdG9GP3ndWDsfjOIRXWxbNObXLsvm2D++PnreHsJydHGE3ZCocia/N7JZIKlGCksNy8fC58djpfzl8b1GW2bhJhRNFI5I6mtiYhe7RsxMxlG6MOQ0RSmIZIUtjFz33DF/PW0LKJJnJKuN64+FB6tN8pKH+/QsmGiFSOEowqSJYjRj6du5qdG9fj+Qtq15yLxXcOSapehGSLJwxtmjXgpZH9g/JZoyYzbfH6CCMqW7L8P4pIcUowUkzshaqaN6rHcxccTLd2O5XzCJGqadqgaAQ1KyePc5+ayvh5ayKMSERSieZgpJDNuXlc9Nz0oPzc+Qez727NI4wo8VK1ZyBV4y7L6X1259Xpyzhf58oQkTgpwUgRv27exvAxXzNj6Yagbr/d0y+5SLcdc7q469T9adawHk9PXBR1KCKSIpRgVCBZDok744lJzF+dTfsWjVi+YWuksYQl6jataan8ejMyjJtO6MZOjepy/8fzAXhp6s+cdVCHiCMrXbL834rUZpqDkSLmr86m865Nef3iQ6IORUKSapNDzYyrjuoclK97YxbPT1kSYUQikszUg5HEJsSc36LXHi0YM/zAlL62SCrtTKOSam10w39nRx2CiCQp9WAkqWcmLea80VOD8vMXHJzSyYWkn1tO7B51CCKSxOJKMMysnZmNNbM1ZpZjZnPM7LBEBxeFZDmm/ub/fU9+QdHVp5o0UGdTbZTMwyjDDu3IbSftG5RHawKoiMSoMMEwsxbARMCAIUA34HJgdWJDq31WZ+UE9+vXzeD+M3tFGE31JPOOUcJzbv/M4P7f356jORkiEojnZ/FfgJXOuT/E1OmnSsgmzF/LVS/PCMqvXNifXnu0KFYnAsk9T+OG/86mXp3kG3nVUSUiNS+eb4KTgSlm9rKZrTazGWZ2mZlZooOrLe758EfOfXoKa7Nzg7pee7SIMKLKUW+FAPztN10B+OvrMyOORESSQTw9GHsBlwD3AXcCvYCH/GUPl1zZzEYCIwE6dEjOY+QLJcuvmoc+XUCGwVVHdea+j+dFGosuaS5VNXJQJ7blFXD3h9F+hkUkOcTTg5EBfOOcu945961zbjTwIHBpaSs750Y55/o65/q2adMmzFjTxvb8Ap4cvzAo79KsAc9f0I8rj9onwqgkVSVTD9JlR+zDFUfsHZTfn/1LhNGISJTi6cFYCcwpUfcDcGX44dQOJzw4gR9XZQXld68cSOumDWo8jmTZKUn4onxvrz66Mw9+ugCAy174hkd/3zuyWEQkOvH0YEwEupSo6wxoungl/LxuS3D/x1VZdGjZOChHkVyIJErs9Ky8AselL3wTYTRlS5ZD0kXSVTwJxn1APzO7wcz2NrPTgSuARxIbWvii+EL5YeUmrnjxWwbf/VlQd+WR+/Dh1YNqNA6p3aIaRjl/QEe257uKVxSRtFPhEIlz7mszOxm4HbgJ+Nn/+2iCY6uWZJnAefwDXwJQN8MocN4X7dVHdy7vIQkTdVtI7XPjkG4UOMfoiYsB+HjOKo7qvmu0QYlIjYjrgHXn3DjnXE/nXEPnXGfn3IPOOf0sKcWC1dlc+Oy0oNywXgbDDsnk8z8Pji4okYiYGTefUHRK8Qufm86r05ZGGJGI1BSdfzpkx9z3BTFn+GbiX4+gleZYSBKqqR6t2DkZ+QWOP782k/Wbt9XIc4tIdJLvlHtVFNWErY1bt3Pne3ODspkxtF/R+T+UXIgUKbxA2h0x/zPJRBM/RcKjHoxqeHL8Qh7+bAEbt24P6j6+5jA6tm7Cc5N/jjAyzbeQ5DTs0I7s3KQ+177yHXl+V1/O9nwa1qsTcWQiEra06cGoKbFTT/757g9s3Lqd/nu1Cuo6tm4SRVgiKeOkXu15atiBQfm0x79i6fot5TxCRFJRSiYYUXVjLlm3maFPTQnKXds2Y8zwA3lhxME1HotIKjusc9FZfmcv38SJD09g/Lw1EUYkImHTEEmcHvv8J+7/eB65eQVB3bgrBlInQ9d8k/QRxdDa4V3a8NmPazhv9NQaf24RSZyU7MGIwl3vzyU3r4BTDmgf1Cm5EKm+p847kCuP3IfYA9/XZOWW/YAapEmfIlWnBKMMBQWO/3xZdEGyPVo24pk/HsS9Z/aKMKqyJdMFr0QqIyPDuProzjw9rG9Qd9z94/l07qoIoxKR6tIQSRmGj/maL2LGhD+4ahCN66u5RBLliK5FZ/hct3kbfxwzrZy1RSTZqQejDF/MW0OLxvWCspILkZpz/fFdqVenaAhyweqsctauWRo2EYmPEgzflm153Py/2UG5/16teP9KXZBMareoht4uPKwTb1x8aFD+7cMT+e+3y2o8DhGpOv0sB779+VeueeU7Fq3dHNQ9d8HBmsQpEqH9dm8e3N+yLZ+rX/6OKQvXRxiRiFSGejCA0x6fxKK1m+m8a9OgLpmTC03olNrmzlP2o0HdDF76WhdKE0kVtTLBKChwjJu5sqjsHCMGduStywZEGJWIlOWsgzrw5qWHFjtT7qSf1kUYURHNyRApXa1MMH77yAQufeGboPzCBf24YUh3XQ9BJIl1a7cTb19e9CPgD09P0aXfRZJY2s/BcM7x05psvpi3NqibvXwTuzRrwGr/ZD79O7Uq6+EiUkKUw3NNGxR9ZW3P9y79LiLJKS0SjIKColMAjpu5kuzcoqubHnrnp6zYmFNs/euO78p5/TPpdvP7NRajiITrHyf34P/e+p58XZVVJCml9BBJdm4ez0xazFH3fRHUXfrCN/z19VlBecXGHFo1qc/JvXYL6i46rBON6uuLSCSVDe23J0/HXJX1/LFfszk3L8KIRCRWSvdg9L/9E7JKfKEc36MtTRvU5dXp3jHz71w+gO7tdiIjw3hzxooowqwWHS0iUrbYq7JOXLCOc5+awuhhB0UYkadw0qf+f6U2S7kEY8WGrcH9rNw8DspsybBDM7nkeW/S5mND+wAECUaP9s133IiIhCZZdqLtWzTim583cNaTk6MORURIwQRjtxaNgvvvXD5ACYSIAPDqRf0Z+tQUfli5KepQRIQUn4Oh5EJECu3WohGvXNif7u12CuoWrsmOMCKR2i2lEwwRkVitmzbgxZH9gvIZT0zi+xUbI4xIpPZSgiEiaaV5o6KrIK/N3sZZo6Kfk6GzfUptlHJzMNJdskyYE6mOZPkcH9+jLe/N/iXqMERqJfVgiEj+MMx+AAAaUUlEQVTaeujsAzitz+5B+a3vUu9QdZFUpQRDRNJW3ToZ/OvU/YPyFS9+yxNf/IRzrpxHiUgYNEQiImktI8OKle94by7LY86nIyKJoR4MEak1Hjr7AOrXyeCZSUuiDkUTPyXtqQcjQskyEU4k0ZLls35iz93YdaeGjHhmGhu3ehdFXL95Gy2b1I84MpH0ox4MEalVDurYktcv7h+UT3v8K5au3xJhRB71aEi6UYIhIrXO3rs0C+4vXLOZUx/7SqcYFwmZEgwRqdX67dWS1Vm5nPHEpKhD2YF6NSSVaQ5GDUqWcWiRZJAs/w9jhh/ENa/M4N1ZOiGXSJjUgyEitVrDenV46OzenNtvz6Du4zmrIoxIJD0owRCRWq9OhnHrSfsG5Yufn64kQ6SaKkwwzOwWM3MlbupLFJG0YlZ0Qq7t+Y6Ln58eYTRl07wMSRXxzsH4ERgcU84PP5T0kizjyyJSeX88tCNPT1wUdRgiKS3eBCPPOadeCxFJqGRJzG86oRsOx+iJiwGYMH8tA/ZpHW1QIikm3jkYe5nZcjNbZGYvmdleCY1KRCRCZsbNJ3QPyiOfncaMpRsijEgk9cSTYEwBhgHHAyOAtsBXZtaqtJXNbKSZTTOzaWvWrAktUBGRmhQ7J2PLtnyGjZ7K/FVZEUZUOs3JkGRV4RCJc+692LKZTQYWAucB95ay/ihgFEDfvn1rzTWRk6VrV0TCd1S3Xfj4h9UMfWpK1KGIpIxKn2jLOZdtZt8D+yQgHhGRQLIk7g+f05s/PD2VqYvWRx2KSMqo9HkwzKwh0BVYGX44IiLJp2G9OvznvL70aL9TULcpZ3uEEYkkv3jOg3G3mR1mZh3N7GDgNaAJMDbh0YmIJImdGtZj7PCDgvIFY6eRs11H7IuUJZ4hkt2BF4HWwBpgMtDPObckkYEls2TpthWRmtWqaYPg/tRF67nshW8jjKZshZM+9V0lUYpnkudZNRGIiEg8kmWn2bxRPT7+QacTFymLrkUiIlIFo4cfSKN6dYKyc7XmoDmRuCjBEBGpgt4dduaxob2D8kOfLogwGpHkU+nDVGubZOmOFZHkM7jLLsH9ez+aR8N6GYwc1CnCiEqnORkSBSUYIpLSkmmnefu7c2lQt07FK4rUAhoiEREJwT9O7gHA/731fcSRiCQHJRgiIiEY2m9Pboq5QJpIbachkhKSqbtVRFLL+QM6krM9n39/8CMAL0z5mXMO7hBxVKXTvAxJtFqVYJT8R9I/lkh6ivJ/+9LD9w4SjL/9dxbZuTqluNROGiIREUmg29+dG3UIIpFQgiEikiD3nN6TDCsqFxToZFxSe6RtgrH4ziEaAhGRSJ3aZ3ce/X3RybiuffU7tuUVRBhR2TKvGxfMyxAJQ62agyEitVOUPzaO69EuuP/fb5ezNjuXx4b2iSwekZqStj0YIiLJplWT+nw5fy1nj5ocdSgiCacEQ0Skhrx+8SHs2aoxs5ZvjDqUuGjYRKpDCYaISA3JbN2E1y46hP3aNw/q5qzYFGFEIomjBENEpAa1adaAF0f2C8pnjprEtMXrI4xIJDE0yVNEaqUoJ342bVD01ZuVk8e5T02NLJbK0hlAJV7qwRARidDpfXZn6/b8qMMQCV3aJBg674WIpKK7Tt2f8wd0DMp3f/AjOUo4JA2kTYIhIpKKMjKMG4d0C8oPf7aAo+/7gs/mro4wKpHqU4IhIhIxs6LziXdt24yl67cyfMzXEUYUPx3KKmVRgiEi4kuGoda3Lx/AjUO60bh+naDujnd/4NfN2yKMSqTylGCIiCSRenUyuGDgXnxy7WFB3RPjFzLoX5/x4CfzI4xMpHKUYIiIJKF2zRsF9wfu05qs3Dzu/WhehBHFT8MmAkowRESS3rPnH8yLI/rRu0OLoO76N2bqaBNJajrRlohIGaKejxGrf6dWvH7xIXS8/l0AXpy6lG9/3hBxVCJlS8kEI5n+6UVEakrs0SaZrRoz95esCKMRKZ+GSEREUtDblw9gyP7tgvJTExZFGE35NCejdkrJHgwRkagkSw9qs4b1ePjsAxg3cyUAt70zh215BVw8uFPEkYl4lGCIiKSo2CETM7jr/bnk5mnipyQHDZGIiKSBe07vSYbB/R/rXBmSHNSDISJSDckyZHJK792pVyeDq16eQX6BizqcCumy7+lPPRgiImnixJ678cg5vYPyqPE/RRiN1HbqwRARSSPH9Wgb3L/93bm0atIgwmikNlMPhohIGvvL6zOjDiEuOpQ1/VQ6wTCzv5mZM7OHExGQiIiE45LBnVJiPoakp0oNkZhZP2AEkBopsYhIBJJl4uKfj+3CuuxtvDxtKQDzV2Wxz67NIo5Kaou4ezDMrDnwPHA+8GvCIhIRkVCYGf/8XY+gfN7TU/llY06EEUltUpkhklHAa865TxMVjIiIhKtunaKv+RUbcxg2eiqbcrZHGFH8NC8jtcU1RGJmI4C9gXMTG46IiCTKXm2aMPeXLC58ZnrUoUgtUGGCYWZdgNuBgc65bXGsPxIYCdChQ4dqBygikuqSZU7G2OEHccpjXzFp4bqoQ5FaIJ4hkv5Aa2C2meWZWR5wGHCJXy52kLVzbpRzrq9zrm+bNm0SELKIiFTFHi0bM2b4gTRtUPTb0rnUOspEwyapI54E401gP6BXzG0a8JJ/v8JeDRERSQ777tacx4f2CcqPfLYgwmgknVU4ROKc2wBsiK0zs83Aeufc7EQFJiIiiTFgn9bB/bs/nEezhvUijKZ6dE2T5KVThYuIRCCZdoj/99b3UYcgaahKpwp3zg12zl0WdjAiIlKzbvhNt6hDCJ3maSQHXYtERKQWGzFoLy4/Yu+g/Nnc1RFGI+lECYaISC13zdGdg/sjnpnGm98ujzCa8KlHIxqagyEikgSinJNhZsH9vALHVS/P4Nct6X2AYLJNDg0znmR5berBEBGRwN9+0xWAv789J+JIalYy9nIkY0yVoQRDREQCIwd14l+n7U9GUadGrb3keyJ38FXZdmmPSeYkRAmGiEiSWnznkEi6uc/ouwePxZyM6/IXvyFne36Nx5FsknlnnoyUYIiIyA6O3bdtcP/dWb9w3tOpcxXWmhRPr0JtTUyUYIiISLl23akBUxat54zHJ0UdiqQQJRgiIlKu1y8+JLjUu0i8lGCIiEi5dt+5Ma9ddAi99mgR1E1bvD7CiCQVKMEQEUkhUU38bNmkPi+MODgon/OfKbw3a2WNxyGpQwmGiIjEpXH9onMzbssr4JIXvokwGkl2SjBERKTS/nJcF1zM6THy8guiC0aSkhIMERGptEsG7839Z/YKyueNnsq67NwII5JkowRDRCSFRTUnA+DkA9oH9ycuWMcJD01gxtINkcQiyUcJhoiIVFufPXdm5cYcnStDAkowRESk2l4c0Y9hh2SyLWYuxuK1myOMSKKmy7WLiKSZKIZM6tfN4Jbf7ssBHVpw5UszADj6vi84r39mjcciyUE9GCIiEpqTehXNy8grcPxnwqKgvDk3L4qQJCJKMEREJCHevmwAB3dsGZQPvv0TbnpzNj+s3BRhVFJTNEQiIpLmojrKpEf75rw0sh8dr38XgOzcPJ6dvIRnJy8J1snLL6BuHf3WTUd6V0VEJGHMLLj//lUD+UP/PWnWoOi37ZH3fsGLU3+OIjRJMCUYIiJSI7q23YlbT+rBlBuODOqWrNvC9W/MCso52/OjCE0SQAmGiEgtFOUJumKvafLg2QfQtW2zoHzMfeP55IdVUYQlIVOCISIikfltz91494qBQfnn9Vs4f+w0ho+eGmFUEgYlGCIiEqmMjKJ5Gjed0J1mDery2Y9rgrqsnO1RhCXVpARDRESSxvkDOvLpnwZzWp/dg7rB//6cZycv0RVbU4wOUxURkcjmY5SmTbMG3H16T16bvgyAdZu3cdObsxn71eJoA5NKUQ+GiIgktUd/35sOLRuzYHV2ULd6U06EEUk8lGCIiEhS+81+7fjomkHcOKRbUHfUvV8EPRySnJRgiIhI0mtQtw4XDNwrKG/KyeNPr34XYURSESUYIiKScu4+vSc7NSyaRvjmt8txzkUYUc3J2Z7P/FVZxc4XMnriIl7++mfe+m5FhJEVp0meIiKSck7rszsD92nNwbd/AsBVL8/g4x9W8c+T94s4svAVFDimLl4flLve9P4O6/z97Tk1GVJclGCIiEipkunIktLsulPD4H7j+nV4Z+ZKpi/5NcKIEmPAXZ+yYmPRpNa6GUb7nRvRoWVjvpy/FoDz+u/Jlm35bNmez7iZK6MKtRglGCIikvLevWIgV708gxlLNwR1T45fyKDObSKMqvLyCxyfzl3N0xMWBXUrNubQvkUjlm/YCsDc244LrkCbed04AP5+Uo9g/XEzx9VgxGXTHAwREUl5ma2b8NpF/bnqqH2Cun+++wPH3j8+KD81YRGTflrHxi3Je2bQI+75nBHPTGPSwnVB3asX9efLvxwelFPl8vYVRmlml5rZTDPb5N8mmVly95uJiEitU7dOBlcd1Tkon9K7PW2aNQjKt70zh7OfnEzPWz8M6h78ZD6fzV1do3HGGjNxEec8OTkoL1m3hd13blTskNwDM1sWO516qohniGQZ8FdgPl5Cch7wppn1cc7NTGRwIiIiVXXvGb1wztHx+ncBOPugPZizMou5KzeRm+eddvzej+YVe8y5T02ha9tmdGm7U+jxfLd0A7NXbGT28o1B3S0lJmc+PrQPR3fflToZxj/G/RB6DDWpwgTDOfe/ElU3mNnFQH9ACYaISC2S7BM/SzIr+uV/xyn7A5CXX8DeN7wHwAUDOjJr+UamLPKO0vhy/tpg4mSh/nd8QmarJkH5v98uo3XTBrRqUtQ7suzXLWzZlk92bl5Q94935rB43eagfNIjE3eI7/gebTlm3125+mXvnB7H9Whb5deabCo1ydPM6gCnA02BrxISkYiISALFzmG48YTuQNFkySfO7cOPv2Tx4y9ZjJvlHY2xcmMOK2OO4ihMBmINuOuzHer+EzNRE2DvXZqyX/vm9GjfnNve8XouHhvap8xtprq4Egwz2w+YBDQEsoHfOedmlbHuSGAkQIcOHUIKU0REJPGO3bctx+7r9SKM85OOz/80mEXrNjN89NcAnNhzN9Zl57Iuexs/rsoCoF3zhjRpUJcm9evw3TJvCOTPx3ahY+smXPL8NwB8fM1hwfMUJhjpLN4ejB+BXkAL4FRgrJkNds7NLrmic24UMAqgb9++teO0aiIikrYyWzchs3XREMlDZx9QtMxPQiZdf+QOdZcevncNRZic4kownHPbgAV+cZqZHQhcDZyfqMBEREQkdVX1RFsZQIMK1xIRkbSWapM+peZUmGCY2Z3AOGAp0Aw4BxgM6FMlIiIipYqnB6Mt8Jz/dyPeoanHO+c+SGRgIiIikrriOQ/GsBqIQ0RERNKILnYmIiKh0rwMAV3sTERERBJACYaIiIiETkMkIiKSUBoyqZ3UgyEiIiKhU4IhIiIiodMQiYiI1DgNm6Q/9WCIiIhI6JRgiIiISOg0RCIiIpHTkEn6UYIhIiKSRpIlWdMQiYiIiIROPRgiIiIpKll6K0qjBENERJJSMu88pWIaIhEREZHQqQdDREQkBaRaj44SDBERSRmptpOtjlR/rRoiERERkdApwRAREZHQaYhERERSVqoPIxRKl9cRSwmGiIiklZI769J23um4Q082SjBERKTWU8IRPiUYIiIipUhkT0htSGjMOZewjfft29dNmzYtYdsXERGRmmNm051zfeNZV0eRiIiISOiUYIiIiEjolGCIiIhI6JRgiIiISOiUYIiIiEjolGCIiIhI6JRgiIiISOiUYIiIiEjolGCIiIhI6JRgiIiISOiUYIiIiEjolGCIiIhI6BJ6sTMzWwMsSdDmWwNrE7RtKU5tXbPU3jVHbV1z1NY1K1Htvadzrk08KyY0wUgkM5sW7xXdpHrU1jVL7V1z1NY1R21ds5KhvTVEIiIiIqFTgiEiIiKhS+UEY1TUAdQiauuapfauOWrrmqO2rlmRt3fKzsEQERGR5JXKPRgiIiKSpJRgiIiISOhSMsEws0vMbJGZ5ZjZdDMbGHVMqc7Mrjezr81sk5mtMbO3zaxHiXXMzG4xsxVmttXMPjezfaOKOR2Y2d/MzJnZwzF1aucQmVk7Mxvrf65zzGyOmR0Ws1ztHQIzq2Nmt8V8Ny8ys3+YWd2YddTWVWRmg8zsLTNb7n9nDCuxvMK2NbOdzexZM9vo3541sxaJijnlEgwzOxN4ALgdOAD4CnjPzDpEGljqGww8ChwCHAHkAR+bWcuYdf4CXAtcDhwIrAY+MrNmNRtqejCzfsAIYGaJRWrnkPhfnhMBA4YA3fDadXXMamrvcPwVuBS4AugKXOmXr49ZR21ddU2B2XjturWU5fG07QtAb+B44Dj//rMJi9g5l1I3YArwZIm6+cAdUceWTje8D3M+cKJfNmAlcEPMOo2ALODCqONNtRvQHPgJL5n7HHhY7ZyQdr4dmFjOcrV3eG39DjC2RN1Y4B21dehtnQ0MiylX2LZ4ybUDDo1ZZ4Bf1yURcaZUD4aZ1Qf6AB+WWPQh3i9vCU8zvB6uX/1yR6AtMW3vnNsKjEdtXxWjgNecc5+WqFc7h+tkYIqZvWxmq81shpldZmbmL1d7h2cCcLiZdQUws+54CfS7/nK1deLE07b98RKTr2IeNxHYTILav27FqySV1kAdYFWJ+lXAUTUfTlp7AJgBTPLLbf2/pbV9+5oKKh2Y2Qhgb+DcUharncO1F3AJcB9wJ9ALeMhf9jBq7zDdhffDZI6Z5ePtX/7pnHvUX662Tpx42rYtsMb5XRcAzjlnZqtjHh+qVEswCpU8eYeVUidVZGb34nWdDXDO5ZdYrLavBjPrgtdtP9A5t62cVdXO4cgApjnnCucBfGtm++DNDXg4Zj21d/WdCfwBOAf4Hi+Ze8DMFjnnnopZT22dOBW1bWntnLD2T6khErwrw+WzY7a1CztmblIFZnYfcDZwhHNuYcyiX/y/avvq6Y/XEzfbzPLMLA84DLjEv7/OX0/tHI6VwJwSdT8AhZPC9bkOz7+Bu51zLznnZjnnngXupWiSp9o6ceJp21+AXWKGB/HvtyFB7Z9SCYb/i286cHSJRUdTfFxJqsDMHsD79XGEc25uicWL8D6gR8es3xAYiNq+Mt4E9sP7dVd4mwa85N+fh9o5TBOBLiXqOgNL/Pv6XIenMd4PwFj5FO1n1NaJE0/bTsKbvN8/5nH9gSYkqv2jng1bhdmzZwLbgAvwZsU+gDdxZc+oY0vlG/AIsAlvUlbbmFvTmHX+6q9zCtADb6e4AmgWdfypfCPmKBK1c+hteyCwHbgBb97L6cBG4FK1d+htPQZYhnc4cCbwO2ANcI/aOpT2bUrRj5ItwM3+/Q7xti3wHjAL6IeXXMwC3k5YzFE3WhUb+hJgMZCL16MxKOqYUv2GNwZX2u2WmHUMuAWv2zkH+ALoEXXsqX4rJcFQO4fbvkOA7/y2nId3ngZTe4fezs2A+/F6h7YCC/HmGzVUW4fSvoPL+I4eE2/bAi2B5/xEZJN/v0WiYtbFzkRERCR0KTUHQ0RERFKDEgwREREJnRIMERERCZ0SDBEREQmdEgwREREJnRIMERERCZ0SDBGJm5k5MzsthG04M8sJKR5nZtnV3ZaIhEsJhkiaMLNdzewBM/vJzHLNbLmZvWdmv4k6tlKMAPYsLJhZppmNN7PN/t/M2JXN7A0zG1nKdtoBVyU0UhGpEiUYImnA3yF/AxyLd3Gp/YGjgHHA45EFVrYNzrnYCyzdAyzHO/XxSuDuwgVmdjLeBeKeLLkR59wveKf+FpEkowRDJD08ineq4L7OuVeccz86535wzj0M9AQws6fN7J3YB5lZhpn9bGbX+GUzs2vNbL7fC7LMzO4o60nNrL2ZvWRmv/q3cf7l0CurGzDWOTcf75oW3fzt74SXfIx0Ou2wSEpRgiGS4sysJXAc3vVMdpiL4Jz71b/7JHCcmbWLWXw03kXtnvXLtwM3AXcA++JdHGxpGc/bGPgM77oHh+FdPGkl8LG/rDK+A44yswzgGGCmX38n3rUWSl7dV0SSnBIMkdS3N17vxQ/lreScmwTMBc6Lqf4j8JZzbo2ZNQWuBq5zzj3tnFvgnJvknHu0jE2e5T/vcOfcTD8JuBDvqo8nVPI1/AnoincRw32AP5nZIXiXm37MzJ43s4Vm9oLfqyEiSU4Jhkjqs0qs+yQwHIKej5OAp/xl3YEGwCdxbqsP0BHIMrNs/0iOjcDOQKdKxIRzbrlz7gTnXAfn3Al4l/l+Ai9huQ7IAzoDBXg9LCKS5JRgiKS++XiXbe4Wx7rPAnua2QDg98Ba4EN/WWUSFfC+P2bgTcyMvXXGSw6q4zpgvHPuK+AI4BXnXB7wol8WkSRXN+oARKR6nHPrzewD4DIze7DkPAwza+Gc2xCz7ht4QyMH4M1vyPdXnQPkAkfiJS0V+QY4G1hbuP0wmFlXvGGcA/yqDKCef78+UCes5xKRxFEPhkh6uASvB2KamZ1uZl3MrKuZXUzRhMlCT+L1XvQERhdWOueygAeAO8xsuJl1MrOD/G2U5nlgFfA/MzvMzDqa2SAzu6eKR5JgZgaMAq51zm3yqycAF5lZF+BivywiSU4JhkgacM4tAnoDHwF34SUVnwK/xZvHEOtzYBnwuXPupxLLrvcffxPepNHXgd3LeM4twCBgIfAq3gTSsXhzMH4t7TFxGAmscc69GVN3C94Q0DS8ORi3VHHbIlKDTIeWi9QuZtYI76RWlzvnno/g+R1wunPutZC2NwzvEN2mYWxPRMKhBEOklvDPMbEr3qGovwc6Oue2RRCHwzt3xmbnXOtqbisbby5ZnhIMkeSiSZ4itUcHYBHe8MjwKJILX+H8jIIQttUrxG2JSIjUgyEiIiKh0yRPERERCZ0SDBEREQmdEgwREREJnRIMERERCZ0SDBEREQmdEgwREREJ3f8DLXbSMwUF/3AAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ym = np.median(yn, axis=1)\n", "yq1, yq3 = np.abs(ym-np.percentile(yn, 25, 1)), np.abs(np.percentile(yn, 75, 1)-ym)\n", "# plot of the ensemble average\n", "plt.figure(figsize=(9, 5))\n", "plt.errorbar(tn, ym, np.vstack((yq1, yq3)), linewidth=2)\n", "plt.xlabel('Cycle [%]')\n", "plt.title('Plot of ensemble average (median and quartiles)')\n", "plt.show()" ] } ], "metadata": { "anaconda-cloud": {}, "hide_input": false, "kernelspec": { "display_name": "Python 3", "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": "3.6.4" }, "varInspector": { "cols": { "lenName": 16, "lenType": 16, "lenVar": 40 }, "kernels_config": { "python": { "delete_cmd_postfix": "", "delete_cmd_prefix": "del ", "library": 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