{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Introduction to the General Linear Model\n", "\n", "*Written by Luke Chang*\n", "\n", "This tutorial provides an introduction for how the general linear model (GLM) can be used to make inferences about brain responses in a single subject. We will explore the statistics in the context of a simple hypothetical experiment using simulated data. \n", "\n", "In this lab we will cover:\n", "- How to use a GLM to test psychological hypotheses.\n", "- Simulating brain data\n", "- Estimating GLM using ordinary least squares\n", "- Calculating Standard Errors\n", "- Contrast Basics\n", "\n", "Let's start by watching two short videos introducing the general linear model by Tor Wager and how this can be applied to fMRI." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2020-04-23T03:49:06.313434Z", "start_time": "2020-04-23T03:49:06.076978Z" } }, "outputs": [ { "data": { "image/jpeg": 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"text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.display import YouTubeVideo\n", "\n", "YouTubeVideo('GDkLQuV4he4')" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2020-04-23T03:49:07.919879Z", "start_time": "2020-04-23T03:49:07.745507Z" } }, "outputs": [ { "data": { "image/jpeg": 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U1Nb9MVwS836GBj2/HOjS9mzw6cuOMnY60G1a+16laddpRi7QguUUNTSa4o+f5et7rc+NbKUIzSV+BpWz6c1ebZ4lPWOi7O6Rp8YcVa5yvN+nXnvn7ezS0VCC4R4+pZUhCEbqysfOrasoT4TbRZPaU9QrJ8TPord8vP01Vqm8q4R4+rPV2VHDKK9DydHR/c73O9o7SqbKemrQV4upjOPqrG/Hc7jnf+ba+lRJXRqwrUoVabyhNXT9ixH0HMCAIJJOTolAAGRIIJIAAMqEkAlA5JIZKOXzIZLOWZRwziZ2yuQFUymZdMomVmqJmaoaZmaoGay1DLVNVQy1Sss9M002ZoGmmemI0UzRAzwNEDcF8C2JTAuibirYliKoliNKsidI4R2ijpHSOUdIrSSSABJJAIiQQSBIIBFTckgJkEg4rVqdCm6lacYQXNydj5zaP4qUW4aGCl/3Jrh/CM9dTn5S3H0Wp1NLSUJVq81GET4jb2257UjuoQwoxd0vNv3MWp1mo1k89RVlN+74L+DOzz9978MXrX0OxNNGjpoxXOXFm2tDgZ9kT3lCH2N1Vpq3meC33eySel42ooqTs+BllpHfgz1qlK8uRVKjwNyuV5YaekX7nc3UKEY24WOqVHiaN1i0S1Zy2adfl48DzvxTFPQQb5qaaPQ08rcGjy/xVWTo0aSfFyu0Y5/7jr3k4qnYf4gqaCMaFZbyguXrH7H1+k1+l1kf/j14Tdr434r+D80TsWQnKDUoycZR5NOzR7p1jxzqx+og+L0P4p1dCKjqIxrxXm3aXc+m2ftbSbQpp0qijPzhJ2kjc6ldJ1K3EkBFadAgkyAAMiQQCCSACKEMEMyOTlnTOWRHLK5HTOJAVTKZlsimYZqiZmqGmZmqFZZqhlqGmoZaoZUQNFMzwNFM9MRogaIGaBoizcGiBbEpgWxNxpcixFSLImh2jtHCOkUdo6RwiSq7JOUyQqSSAQSCLkhEgi55G09v0NG93RSrVfNJ8F/Jm9Tn5Nx61SpCnBzqSUYrm27JHhbR/E9GknDRx3s+p8Ir5Pn9ftPU7QnetP8AKuUFyRiPP15d+GL0v1et1GsqZ6irKb9HyX8GcA4ohnNyxoraswj2Nh6nGe6b480e845WZ8bRqSpVI1IP80XdH2eyNTR2hRcqbtOP6ovmjz+XnPd6vF16p6XLp3RnqwkuSPZ+nRy9LGXM5Tp3vFeNTcsuR6FKDlHkXfRJPhYuhSUI2F6XnisdSKpLLgfKbWrutrG27qPA+j27qlo9Mrcak+EV/qfITbbbbu3zOvhn/p5/P1n9XK5na5/wcpHS/Uj0PKklOzuiFyJCvU0O3dforKNXe01+ypx/z5n1Gz9v6PWpKU1Rq9M3/RnwZKZZ1Y1OrH6gndXT4En53odrazQSW5qtw84S4o+w2RtqjtNOGO7rJXcH5/Y1uuk7leoCLi4adA5BBIIBAIbDOWZBnLZLOGQcsrkdsrkRFcymbLZlEypVM2Z6hfMzVPMMs9Qy1DTUMtQMqIeRppmWn5GmDPREaYGiJlgaIcjpBoiy2JRBl0Taros7TKossRpViO0ytM6TKLEybnCZKYHdybnFybhXdybnFybgdCUsYuVr2V7HNzzdubSWh0mMP+tU4R9vcluTTXzm0Nr6rWyac3Cn5QjwX8+p54TuDw22/LmgAERBDOjlq6A7fM5lG5VepF8OK9zpTn50/wDMCUjXs7V19BqFqKP2afJowynUvwgkdw1MYwSkpX87Es2LLl1+g7P2hS2hp95T4SX64PnFmo/PtDtiei1KqUYX8mpPg0fWbM27pte1TknRrPlFu6l9meTvxWfHw9/j8069r8vUuU6rU0tLQlVqySS5LzfsiNVqaeloyq1H+VeXq/Q+Q2jr562rnVmopfpjf9KJxx6mvL5JxP8AVWv1NTX6x1azsuUYryRja8izOC5yT/kz1IuVaTjNpex7J7ez5/V27VliM434O7OHTclxnJkxpKJWXcXwJQSsSFAABJdpdRU0teFalLGcXdFIuB+h7M19PaGkjWhwfKUfRmw+G/Dmvek18YSf/Krfll9/Jn29zUdubsdA5uLhpIuc3FyCbkNkXIbIDZy2GzlsghsrkzqTK2yIrmymbLJMpmwyqmzNMvnyM9RhKz1DLUNNRmWoysqIGiBmgzRBneMtMGXwZmgy+DNxWiDLoszxZbF8Dar0+JYmUpnaZpVyZ0mVJnSZRamTcrudJlHdybnFyUwO0ybldybkEzqRpwlObtGKu2fDbT1stdrJ1X+nlFeiPb/Euvwpx0tN8Z8Z/Y+ZZ5vL1txnqpi+JJwnxOjiy6IFwAAAAAAGuBXKndlgAqdCLJjCVNpxnZrkWM45z+wVftHaOq1UacalVyjFWPOUW2a400+LJUUhJIW2+9Z4Unc0RjZEokIBAASBckKgAACPMn2IbsEdJ2fA+92PrPrNnUqjd5pYz+6Pz9M+i/Cepxr1dO3wmskvdFjfFyvq7i5xkMjTq6uLnORFzI7uQ2cZEORB02ctkORw2AbK5MlsrkyJrmbKZM7kymbCK6jM9QtmzPNkZU1GZajNFRmWbKlUwZfBmaLLoM7MtUHwL4MzQZdBm4rTBlsWZosuizcGhM7TKFI7TKq9M6TKUzpSKq5MlMqUici6Lri5VkTkBbciU1CDlJ8ErsryPP25qNzs2aT41PyoluTR83rdRLVaqpWk/wBT4ey8jPexDfEhvseL5c3aOiqEuNiy9gJCIuEwOgQmAJAAAAAQQl+Z/YkhXy/gCW5RaTTSfm0SXSrRnp1Bwe8yu55cLW5WKQoSQAiQQAJJOSQABzcDs4k7kSnaJym+AHV+NjdsnUfT7RoVL8MrP7PgeeuCO4OzTA/R8hkYtDqVqNHSq3/VHj9/MvyNO+rchkVZEZA1a5EZFWRDkQ1Y5HDkcuRy5ER02VykQ5HEpECTKZyJlIplII5myibO5yKJsIqqMzTZdUZnkwypTLYMoiyyLOyNUZF0WZYyLYyLBqjItjKxljItjI3KrTGR2pGZSO1MujSpnWRnUjpSLqtCkTkZ1M6zLovyGRRmTmNNX5HgfiKvlVpUU+EVk/5PZyPlto1d9ras78L2X8HLyX2Ssz4nPIl8OIdmro4MuL8UyybKmS5XiBZFk3K48jtMDsHKJA6AAEkMmzxvZ2XmcgSRe0rgh/ewHW8ivMhu/FEfz2QXIDok5JAkEACSAGAuGro5OHNxYCfLiQmKkk4nMQLOf2O4s4XHmdoD6X8O176SdLzhK/8ADPXzPlNi6jcaxRbtGosX/ofSZmo6c32X5EZFOZGYVdkQ5FWZGZBa5HLkVOZy5kFrkVymVuZw5AdSkVSkJSKpSIhORnnI6nMonII5mymTOpMrkyopTO0ypM7TNouiy2MjOmdKVjQ1xkdxmZYzLFMujUpHamZVP3OlMuq1KR1kZlM6Uy6NCmTmZ8ycxo0Zk5mfMZjR3qtQqOnnO/G1l9z5p8T0dqVspRpLy4swHLu7UrlcrHLjZ3R3ZfYh39TCOJcVyK2+DLZFMuYFkGd3KoXaSSu3wPS0uxNo6mzhpZxi/wB1T8q/zJbJ8tSW/DGdI+l0n4TStLV6i/rCmv8AV/B6kNi7OjDH6aDXq7t9zlfNzHbn9P3Xw5KTbSS4s+8obL2fRlktHSk/Vq/9S2vpaOolTdSnG1OWUUkT9+Nfxuvy+T19GnpNHQ01KrKpXqxvVppP8vyzNT2PtGrHKOkq291b+p9zGlSjOU4U4RnLnJLi/wCTNqtfR0jvUkrLmZ/ev1G/48+bXwdSE6VRwqQcJx4OMlZo4N22dctoa+deMbRsor+DAeifDx2ZfZIuci5UdXJuc3JuB1cXObi4E3FyLi4Arq/pO7nE/wBIFV7yLY/YqjzuWxbAsRN/Q5Sb5nX2A6hJxmpp2ad0fU0a+9owmv3K58tGDb4nt6KUo6aMZK1uX2Eaj0MxmZsxn7laacyMzPn7kZ+4F7mcuZQ5nLqe5Be5nDmUuocup7hFkplcplUpnDmE11KZVJkORy2BDZxJhs4bCKUztMwfVT9Ij6up6RNaj0kzpM8z62p6R7E/XVemHZjVeomdKR5X19Xph2ZPiFXph2ZfUPXUzpTPG8QrdMOzHiNbph2fyPVB7amTmeJ4lW6Ydn8k+J1+mHZ/JfVB7e8J3h4fidfpp9n8jxSv00+z+R6oa93MnM8HxSv00+z+SfFa/TT7P5HqhrXqL1KspX4lDTXM4ntWpNcdPQT9UpfJT9dU6YdjmezRdkX/AIM71c3+yHZnP1M/SIRpbfqV4Sq1Iwpxcpydkl5lL1En5RNeztr1dnTdSlQoTm/3VIttfbiS79LM33fY/h/YUdn01X1EVLUy5eeH29z3Ls+F/wCNNo/2Gk/wS/3D/jTaP9jpf8Mv9x5evH31dr28+bx8zI+5t6sh4pXPh3+M9ov/AOnS/wCGX+4orfivaFZWcaEV/di/kn7PTX8jh929TBX/ADIxajadKnL/AK0beh8NPbernweFvs/k4jtStF3dOlL/AMk/k3PCxf1M+n2Gv2zKnp3LTwcvf0PmNRqq2pnlVm2zl7f1Tpyp7mhjJWf5X8mD6mfpE68celw8nkvf21XIM31M/SJH1E/SJ0cWq4Mv1E/RDfy9EBpuTcy7+Xohv5+iA13FzJ9RP0Q+on6IDXcXMn1E/SI+on6RA1HFV2iU/UT9InMq0pc0gLYF0VJ8lYyRrSj5I7WrqLyiFbIwfmzRQ086jxpwcmefT184O7pUp/8Akn8noU/xPq6UMaem0kV7Ql8mbv01PT9t1PTLTv8A5iTn/Qt3h4lfbmprzylCin7J/JV4rX6afZ/JqfHuls+n0G9G8Pn/ABWv00+z+R4rX6afZ/INe/vCN4eD4rX6afZ/I8Vr9NPs/kGvddTicOoeL4pX6afZ/JHilfpp9n8hNey5s5cjyPE63TT7P5I8SrdNPs/kGvXcjls8rxKt0w7P5I8RrdMOz+QPUbOGzzfEKvTDsx9fV6Y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"text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "YouTubeVideo('OyLKMb9FNhg')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Are you ready for this?\n", "This lab assumes that you have some basic background knowledge in statistics from an introductory course. If you are already feeling overwhelmed from Tor Wager's videos and think you might need to slow down and refresh some basic concepts and lingo, I highly encourage you to watch Jeannette Mumford's crash course in statistics. These are certainly not required, but she is a wonderful teacher and watching her videos will provide an additional explanation of the core concepts needed to understand the GLM. You could watch these in one sitting, or go back and forth with working through the notebooks. There is so much to know in statistics and people can often feel lost because the concepts are certainly not intuitive. For example, even though advanced statistics have been an important part of my own work, I still find it helpful to periodically revisit core concepts. In general, I find that learning neuroimaging is an iterative process. In the beginning, it is important to get a broad understanding of the key steps and how neuroimaging can be used to make inferences, but as you progress in your training you will have plenty of opportunities to zoom into specific steps to learn more about particular details and nuances that you may not have fully appreciated the first time around. \n", "- [Basic statistics terminology](https://youtu.be/apt8uAgtgdY) This video gently introduces some of the key concepts that provide the foundation for statistics.\n", "- [Simple Linear Regression](https://www.youtube.com/watch?v=yLgPpmXVVbs) This video explains how a regression works using a single variable.\n", "- [Matrix Algebra Basics](https://www.youtube.com/watch?v=fkZj8QoYjq8) This video provides the background linear algebra needed for understanding the GLM.\n", "- [Multiple Linear Regression](https://www.youtube.com/watch?v=qdOG7YMolmA) This video explains how multiple regression works using linear algebra.\n", "- [Hypothesis Testing](https://www.youtube.com/watch?v=ULeg3DH3g9w) This video covers the basics of hypothesis testing.\n", "- [Contrasts in Linear Models](https://www.youtube.com/watch?v=yLgPpmXVVbs&t=631s) This video provides an overview of how to test hypotheses using contrasts in the context of the GLM.\n", "- [Intepreting Regression Parameters](https://www.youtube.com/watch?v=uClfe4pLrCo) This video covers how to interpret the results from a regression analysis.\n", "- [Mean Centering Regressors](https://www.youtube.com/watch?v=K4S576j90N8) This video covers a more subtle detail of why you might consider mean centering your continuour regression variables.\n" ] }, { "cell_type": "markdown", "metadata": { "ExecuteTime": { "end_time": "2020-04-17T15:27:40.694446Z", "start_time": "2020-04-17T15:27:40.564553Z" } }, "source": [ "Ok, let's get started. First, we will need to import all of the modules used in this tutorial." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2020-04-23T03:49:47.912522Z", "start_time": "2020-04-23T03:49:43.714027Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/lukechang/anaconda3/lib/python3.7/site-packages/sklearn/utils/deprecation.py:144: FutureWarning: The sklearn.linear_model.base module is deprecated in version 0.22 and will be removed in version 0.24. The corresponding classes / functions should instead be imported from sklearn.linear_model. Anything that cannot be imported from sklearn.linear_model is now part of the private API.\n", " warnings.warn(message, FutureWarning)\n" ] } ], "source": [ "%matplotlib inline\n", "\n", "import os\n", "import glob\n", "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "from nltools.stats import regress\n", "from nltools.external import glover_hrf" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Simulate a voxel time course\n", "To generate an intuition for how we use the GLM to make inferences in fMRI data analysis, we will simulate a time series for a single voxel. A simulation means that we will be generating synthetic data that will resemble real data. However, because we know the ground truth of the signal, we can evaluate how well we can recover the true signal using a general linear model. Throughout this course, we frequently rely on simulations to gain an intuition for how a particular preprocessing step or statistic works. This is important because it reinforces the assumptions behind the operation (which are rarely met in real data), and also provides a method to learn how to answer your own questions by generating your own simulations.\n", "\n", "Imagine that we are interested in identifying which region of the brain is involved in processing faces. To explore this question, we could show participants a bunch of different types of faces. Each presentation of a face will be a *trial*. Let's simulate what a design might look like with 5 face trials.\n", "\n", "First, we will need to specify the number of volumes in the time series. Then we need to specify the timepoint, in which a face is presented.\n", "\n", "![faces](../images/glm/faces.png)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2020-04-23T03:49:55.263493Z", "start_time": "2020-04-23T03:49:55.023921Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "n_tr = 200\n", "n_trial = 5\n", "face = np.zeros(n_tr)\n", "face[np.arange(10, n_tr, int(n_tr/n_trial))] = 1\n", "\n", "def plot_timeseries(data, labels=None, linewidth=3):\n", " '''Plot a timeseries\n", " \n", " Args:\n", " data: (np.ndarray) signal varying over time, where each column is a different signal.\n", " labels: (list) labels which need to correspond to the number of columns.\n", " linewidth: (int) thickness of line\n", " '''\n", " plt.figure(figsize=(20,5))\n", " plt.plot(data, linewidth=linewidth)\n", " plt.ylabel('Intensity', fontsize=18)\n", " plt.xlabel('Time', fontsize=18)\n", " plt.tight_layout()\n", " if labels is not None:\n", " if len(labels) != data.shape[1]:\n", " raise ValueError('Need to have the same number of labels as columns in data.')\n", " plt.legend(labels, fontsize=18)\n", " \n", "plot_timeseries(face)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We now have 5 events where a face is shown for 2 seconds (i.e., one TR). If we scanned someone with this design, we might expect to see any region involved in processing faces increase in activation around the time of the face presentation. How would we know which of these regions, if any, *selectively* process faces? Many of the regions we would observe are likely involved in processing *any* visual stimulus, and not specifically faces.\n", "\n", "To rule out this potential confound, we would need at least one other condition that would serve as a visual control. Something that might have similar properties to a face, but isn't a face. \n", "\n", "One possibility is to create a visual stimulus that has all of the same visual properties in terms of luminance and color, but no longer resembles a face. Here is an example of the same faces that have been Fourier transformed, phase-scrambled, and inverse Fourier transformed. These pictures have essentially identical low level visual properties, but are clearly not faces.\n", "\n", "![phase](../images/glm/phase_scrambled.png)\n", "\n", "However, one might argue that faces are a type of object, and regions that are involved in higher visual processing such as object recognition might not be selective to processing faces. To rule out this possibility, we would need to add an additional visual control such as objects.\n", "\n", "![objects](../images/glm/objects.png)\n", "\n", "Both of these conditions could serve as a different type of visual control. To keep things simple, let's start with pictures of objects as it controls for low level visual features, but also more complex object processing. \n", "\n", "To demonstrate that a region is processing faces and not simply lower level visual properties or objects more generally, we can search for regions that are selectively more activated in response to viewing faces relative to objects. This is called a *contrast* and is the basic principle of the subtraction method for controlling for potential experimental confounds. Because BOLD fMRI is a relative and not absolute measure of brain activity, the subtraction method is a key aspect of experimental design.\n", "\n", "Figures are from Huettel, Song, & McCarthy (2008)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "ExecuteTime": { "end_time": "2020-04-23T03:49:57.739881Z", "start_time": "2020-04-23T03:49:57.513700Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "n_tr = 200\n", "n_trial = 5\n", "face = np.zeros(n_tr)\n", "face[np.arange(10, n_tr, int(n_tr/n_trial))] = 1\n", "obj = np.zeros(n_tr)\n", "obj[np.arange(20, n_tr, int(n_tr/n_trial))] = 1\n", "voxel = np.vstack([face,obj]).T\n", "\n", "plot_timeseries(voxel, labels=['Face', 'Object'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's imagine that in a voxel processing face specific information we might expect to see a larger activation in response to faces. Maybe two times bigger?\n", "\n", "In our simulation, these two values are parameters we are specifying to generate the data. Specifically they refer to the amplitude of the response to Faces and Houses within a particular region of the brain." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "ExecuteTime": { "end_time": "2020-04-23T03:49:59.725309Z", "start_time": "2020-04-23T03:49:59.480303Z" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "n_tr = 200\n", "n_trial = 5\n", "face_intensity = 2\n", "object_intensity = 1\n", "\n", "face = np.zeros(n_tr)\n", "face[np.arange(10, n_tr, int(n_tr/n_trial))] = face_intensity\n", "obj = np.zeros(n_tr)\n", "obj[np.arange(20, n_tr, int(n_tr/n_trial))] = object_intensity\n", "voxel = np.vstack([face,obj]).T\n", "\n", "plot_timeseries(voxel, labels=['Face', 'Object'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ok, now we have two conditions that are alternating over time. \n", "\n", "We know that the brain has a delayed hemodynamic response to events that has a particular shape, so we will need to convolve these events with an appropriate HRF function. Here, we will use the double-gamma HRF function." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "ExecuteTime": { "end_time": "2020-04-23T03:50:02.118354Z", "start_time": "2020-04-23T03:50:01.954212Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0, 'Time')" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "tr = 2\n", "hrf = glover_hrf(tr, oversampling=1)\n", "plt.plot(hrf, linewidth=3)\n", "plt.ylabel('Intensity', fontsize=18)\n", "plt.xlabel('Time', fontsize=18)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use `np.convolve` from numpy to perform the convolution. The length of the convolved data will be the length of the time series plus the length of the kernel minus 1. To make sure everything is the same length, we will chop off the extra time off the convolved time series using `mode='same'`." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "ExecuteTime": { "end_time": "2020-04-21T03:56:21.819524Z", "start_time": "2020-04-21T03:56:21.542637Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "face_conv = np.convolve(face, hrf, mode='same')\n", "obj_conv = np.convolve(obj, hrf, mode='same')\n", "voxel_conv = np.vstack([face_conv, obj_conv]).T\n", "\n", "plot_timeseries(voxel_conv, labels=['Face', 'Object'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "While this might reflect the expected HRF response to a single event, real data is much noiser. It is easy to add different types of noise. For example, there might be a low frequency drift, autocorrelation, or possibly some aliased physiological artifacts.\n", "\n", "For now, let's start with something simple, like independent white noise drawn from a random Gaussian distribution\n", "\n", "$$\\epsilon \\sim \\mathcal{N}(\\mu,\\,\\sigma^{2})$$ \n", "\n", "where $\\mu = 0$ and $\\sigma = 0.15$" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "ExecuteTime": { "end_time": "2020-04-21T03:56:23.732080Z", "start_time": "2020-04-21T03:56:23.480496Z" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sigma = 0.15\n", "epsilon = sigma*np.random.randn(n_tr, 2)\n", "voxel_conv_noise = voxel_conv + epsilon\n", "\n", "plot_timeseries(voxel_conv_noise, labels=['Face', 'Object'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now this is looking much more like real BOLD activity.\n", "\n", "Remember, the goal of this exercise is to generate simulated activity from a voxel. If we were to extract signal from a specific voxel we wouldn't know which condition was which, so let's combine these two signals into a single simulated voxel timeseries by adding the two vectors together with the `.sum()` method." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "ExecuteTime": { "end_time": "2020-04-21T03:56:25.911989Z", "start_time": "2020-04-21T03:56:25.581047Z" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "Y = voxel_conv_noise.sum(axis=1)\n", "\n", "plot_timeseries(Y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Construct Design Matrix" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now that we have our simulated voxel timeseries, let's try and see if we can recover the original signal using a general linear model in the form of:\n", "\n", "$$Y = X\\beta + \\epsilon$$\n", "\n", "where $Y$ is our observed voxel time series. $X$ is our model or design matrix, and is where we will specify a predicted response to each condition. $\\beta$ is a vector of values that we will estimate to scale our model. $\\epsilon$ is independent gaussian noise. This model is linear because we can decompose $Y$ into a set of features or independent variables that are scaled by an estimated $\\beta$ parameter and summed together. The $\\epsilon$ parameter is not usually known and can also be estimated.\n", "\n", "You may be wondering how our model is distinct from our simulated data. Remember when we simulated the data we specified 3 parameters - face amplitude, object amplitude, and $\\epsilon$, we could have also added a mean, but for now, let's just assume that it is zero. When we fit our model to the simulated data, we should in theory be able to almost perfectly recover these three parameters.\n", "\n", "Now let's build a design matrix $X$ using an intercept, and a regressor indicating the onset of each condition, convolved with the hemodynamic response function (HRF)." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "ExecuteTime": { "end_time": "2020-04-21T03:56:28.654602Z", "start_time": "2020-04-21T03:56:28.416630Z" } }, "outputs": [ { "data": { "image/png": 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kR0/9egZifZsxfD6X18Gxg+3X7E5CovU9hk9RrO8xXy/kCu1Yt7JaLC8OrG1AkvmpYP5dSbdL+huSXiypfTCXtbYp6U8kva2XLzLG3GOMOWWMOWOM+fAun/slY4w1xtzuo70Yhr6rGtPTYblXRLdLOkki6YT0cMd6KbsVzNMj28c6i0lIjZ5iPZ0Lx57FpB1ine20SI2exvDuWE/RGH6PhWOJs1mRIhmer3vG8MzXgdD4STC/R9InrLV/Kqm1zftnJB3f60uMMXlJH5f0dkm3SXq/Mea2bT43JelDkr7vo60YloxupbXW9j0RpfoBidZ3rKdjcNqyrT23zUuczYoUyWgFc7PV1Eqtc5TV1MjUtp/zJJ3o15FkfW+bT8cYvt6qt4+yypmcJouT236OxSSkRkbn65VGRZVmRZJUMAWNF8a3/RxFIkD//CSYr5P0w13eX5e0/ejb6w5JZ6y1T1tra5L+WM6RG91+T9L/JqnSb0MxRBk906ncKKvRakiSSvmSSoXStp9zT0QZnCLRMjoRXauvqWWdNdbxwriK+eK2n2PbPFIjoxPR7uRyPpff9nMknZAaGY317l1JObP9NJkLfJEaGZ2vu4/HmB6dljFm289RJAL0z0+CeVHSbpf4vUxSL4dsXi/pnOv1+e7vNca8WtIxa+0Xd/siY8wHjTEnjTEn5+fp6GPBXemUoa20ng5rh+plqauCmaQTkqzcqeLtbSttCmN9h611knciStIJieY5qzE7W2l77depdEJq9DSGz26ss20eqZHV+XoPR9xJHIcD+OEnwfw1Sb+2cdmfhzHmRkl/V9KXgzbMGJOT9DFJv7XXZ621n7DW3m6tvX1ubm6vj2MQeloRva7znJKLv3o5f1mSDo8fbj8zOEWiZbT6wXP79A7HY0gch4MU6SXWp1Me69tc8LfJs5hEpROSytrMVjD7iXWSTkisLbGenXtUPEfc7RLr7EwC+ucnwfwvJB2Q9JCkvy/JSrrHGPMvJf2VpKqkf9nD9zwv6Zjr9Q0bP9s0Jenlkr5hjHlW0p2STnDRXwK0WlLFVdVY2uE/3OMHpVzBea5clerl6NsWsV4Hp2y5QSo061J7+7iRdvo3PzEnbW41XY4+EfEAACAASURBVF+QGrWBNC9KPU9EqX5AGjSqUn3dec4VpJHtzybVZGfxVKuXpWYj+rZFrJez1iWOw0FK1MtSs+o850el4tj2n5vsSjC3truWJ1l87UxiDI+kqq5Ituk8Fyekwuj2n+u+R8Xa6NsWMV+LSRSJAD3pO8FsrT0j6S2SGpI+IslI+ieS/qmcIy/eYq09t/M3tD0k6WZjzI3GmBFJ75N0wvV7rllrZ621x621xyU9IOlea+3JftuMAatek7PuIGl0WsoXtv9cLrd1gJpwPW+lJemENOheSMrt0KXkC9JE59+8Vi9F264B8HMcDtUPSKzubbQ7nFeofNFZUJIkWWkt+f/me7lpXmIiipToPgpnp1gvljrVzbbpLB4nnGcXIsfcIe16OfZKkkYmOgUkrbq0vhRtuwaA43CA6PipYJa19mFr7SslvULSL8tJDr/GWvsKa+1uFwC6v6Mh6TclfUXSE5I+Y619zBjzEWPMvX7ahZjoZbvNppRtset1RXR2fLb9PF+eb18WBiRKL9toN2U01ruTTjYFlR/IIN+xnvxjMnquYO5aTCLWkUh9xXq6jsRxJ512i3WKRJAKWe7Xfew4ZuEY6E3fCWZjzF3GmDlJstY+aq39rLX2M9baH2y8P2uMuauX77LWfslae4u19iZr7Uc3fvbb1toT23z2bqqXEyLLHVaPE9GxwpimRqYkSY1WQ1erV3f8LBBb/cT6tOvM9RTEeq9baSeKE5ooTkiSqs2q5+8BieE76ZSdxaSp4pRK+ZIkqdwoa62+FnnbgNAR65J2j/V9o/tUzBUlSSv1Fa1vHh8EJAlFIpJ2n6/PlGZUMIX236luHh8EYEd+Kpi/Lumtu7z/lo3PIKt6uZF2U8oGp71upZWogEAKuGM9Y4tJ7ljfbXAqscUOKdDrVlopfbHe41ZaYwxH4iD5/I7hU3BZdz+xzpE4SDxPrO8+jvXO11MW67vM13Mm59l1TL8O7M1PgnmHw7ja8pLY759lVDBL6iHpxEQUSdfXcTjp2krrjvU9F5O4cR5JR1WjpN2rGqWuxSQu/0ISUdUoqc9YZwyPJMpwrHsKwnZZTJIoCAP65esMZrVvcNvW6yQl/6YH+MdEVNLeg1OqH5B4GR6c9rq9TupaTCLphCTK8MJxXzuTWExC0mU41vtKMHPRH5Iuw+etewrC+oh1xvDA3gq9fMgY8yFJH3L96N8aYz66zUcPSJqW9MkQ2oakYiutpL1XRN3VD5fWL0XWJiAylX6OyEjZ4LSfxSSqH5B0vrfNJz/W++rX2ZmEpOtrDJ+uIpF+Yp0iESSe7/l6CmLdfcxdH7sVGMMDe+spwSzpqqSzG8/HJS1K6s6IWUmPSnpA0r8Jo3FIqH7OZU3bxV99dFhUOiHx3NUPeyadUjY4JemELGFnkqS9+/XD44fbzySdkEhZrmr0uQuRfh2JlOGLuj3H3PWzmMR8HdhTTwlma+2nJX1akowxz0j6sLX2RJQNQ4KxbV4SW2mRAUxEJfW5lZakE5Ioy7Hez90KnMuKpMvwGN69cExVI1Ivw7HudwzPERnA3vo+g9laeyPJZeyqnwrm0n6pUHKea6tSdSW6dg1AX4NTOiwkXT+xPjYj5YrOc+WaVFuPrl0D0E+sc0QGEq+f43AmZiWTd57LS1KjGl27Imat7W8rLeeyIunKfWybnzyk9t3va/NSsx5Zs6LWHev9VDUyhkci9TOGn+zsztHqJanVjKZNA9CyLa3UOvkGLvkDwuX3kj9JkjFm3BhzzBjzou4/YTUQCdTPtnljUrMqWm/VtVpflSQZGU0WJ3f9PB0WEs9T/bBHrOdy3lhfTW6s15o1lRtlSVLe5DVeGN/18ywmIfH6ivW8dzKa4H690qyo1qpJkkZyIyptLojvgHNZkXieMfweSad8UZrY7N+stJrc/m29sa6GbUiSxgpjGsmP7Pp5FpOQeP3crVAYlcYPOs+25SwoJdRKbUVWVpI0UZxQIbf7hn6OuQP603eC2RiTM8Z82BjzvKQVSc9KemabP8iqfrbcSKnZTutZDR2dVs7sHl6zY7Pt58XKohqtRmRtAyLRd6ynYzGpu3rZGLPr591baRfWF9SyrcjaBkQio7HezzZaaesRGdbaSNoFRKafxSQplbG+V0Wj1FUkUp4n1pE8GZ2ve3Yl7XHslcTCMdCvXi/5c/t9Sf9E0mOS/qucC/+ADiaiPXVYxXxRM6UZLVWW1LItLVWWPJ0YEHtBBqfLL4TfngHpdyJaKpS0b3SfrlWvqWEbWqoseRaYgNjL6ES03wTzeHFck8VJrdZXVW/VdbV6VQf2qgIF4qSfbfOSc/nXxR85zysvSHpNJM2KWr+xPlGc0FhhTOVGWeVGWSv1lZ7GA0Bs+JmvX3rUeV6+IF3309G0K2KeexV6iPXpkWmN5kdVbVa1Vl/TWn1NE8WJKJsIJJqfBPOvSPqytfYdYTcGKVHp4/w2KTUTUXdVY6+DzLmxOS1VliQ5W+xIMCMxrPXG+l7b66SuWE/uYlI/5y9vmhuba09g59fnSTAjOVot59z0TaUe/s2nZOHYV78+PqfVa85xWZfXL5NgRnK0mlKVWO8l1o0xOjR+SGeXz0py+nUSzEiMRk2qrznPJi+NTu39dzyxnuD5uvus9dHeYn1ubE7nV89Lcvr1G/fdGFn7gKTzcwbzAUl/GnZDkBL1stSoOM/5Eam4+9mkkrwd1nJyO6x+qx8k77lOl9Yvhd4mIDK1VWnzWJfCmFTc/WxSSakZnPZbwSyxxQ4JVl12zlyUpJEp59zVvXgWk5K7W6Hfiai0des8kBjdC0m5/N5/JyVFIr7G8GOczYqE6i4G2+OoN0mpKRJxVzD7GsNz5jqwKz8J5kckHd3zU8im7u02PXVY13WeUzI47XUieni8cxESHRYSpd+tdVJ6BqdMRJElfmJ9OiWxXuvv6CuJiSgSzFe/no4K5n63zUssHCPBAo/h0zFf91MQxmXdwO78JJj/haS/Z4w5FnZjkAL93Ei7KSWDU79baTfRYSFR+j2nUUpNrPsZnJJ0QmJ5Kp16+/eelt0KfiqYuXEeieVrDJ+OpJMn1n1UNRLrSJTAsZ7cMbznmLseF47dRSKM4YHd+TmD+TWSzkp63Bhzn6RnJDW7PmOttb8XtHFIoAyviHpupfVR1UiHhUTp96Z5KT2xzmISsiTLuxWCVjBT1YgkoYJZEmN4ZECWY93HjmMWk4De+Ukw/67r+Vd2+IyVRII5i3x1WJ1jIrRy0bk8rJejNWIm6ESUpBMSJYzBaVJj3U8F8xgVzEioLCeYOQ4HWUKRiCTuVkAGZDjWPf16rxXMriIRYh3YnZ8EM9dmYmfdlwb0YnTKuTiotiI1q06nNz4TTfsiFHQrLUknJIqfWC/tcy4EbJSd26urK1Ipebeu+7kghG3zSCw/W2nHDjgX/TZrziWB1VVpdDKa9kXIz24FjsNBYvnp18dnJZOXbNMZv9crvV36GzOeWOc4HKSdn1ifmJNMzrn0d31BatSkwkg07YuQ54gMikSA0PV9BrO19mwvf6JoLBLAz4qolIptN74qmOmwkFTuWO816WRMKmLd1+CUSicklZ9+vTvWVy+F26YB4TIgZIqfWM/lumI9mf26n6pGxvBILD+xni9IE51/82no1ykSAcLXUwWzMeYf9/vF1tqP9d8cJF6QBPPik87zygXp8G3htmsA/ExEZ0ozypmcWralK9UrqjVrGsknbzUYGeQ71o9KV55xnldekOZuCbddA+BnK+3BsYMyMrKyWiwvqt6qq5grRtVEIDxBYv3qc87zygXp4E3htmsAgh6RsVheVLPVVD6XD71tQOiCjOGXn3eely9IB46H2qxB8BPrs+Oz7efL5ctq2ZZypu/aLWDwgsT65iLSygVp/7Fw2zUAQYtELq9flrVWJoFH/AGD0OsRGf+qz++1kkgwZ5GfrbRSKs518rOVNp/La7Y0265ymi/P6/rJ6yNpHxAqd6z3MzidTv7ZrH4mosVcUTOlGS1WFttJ5iMTR/b+i8Cw+dlKK3mrGpez06+P5Ee0f3S/rlavqmmbWqoseaqfgNhiDC+p91gfK4xpamRKK7UVNVoNXa1e1UwpeUf8IYOCxPqFv3aekxrr1f4TzBPFCU0UJ7RWX1OtVdNybbnnvwtkTa8J5jdH2gqkh98V0enkD079JJ0kZ1W0nWBeJ8GMhPDEOhPRXhwaP6TFyqIkJ9ZJMCMR/C4mTV3XeU5qrPuYiEpOrF+tOv9/u1y+TIIZyRBkt8KmDC0cS9Lh8cNaqa1Icvp1EsxIhFDm6wmNdR/3qEjO7qS1+pokp4qZBDOwvZ4SzNbab0bdEKRERgen1lpfl/xJG+c6OTknznVCcmT0vPWWbfm6DEhyYv2JpSckcTYrEiSjsd5sNbVSdxJHRkaTxd4vKZwbn9PpK6clbZzNejCSJgLhCiXWk7eYVG/Vtd5YlyTlTb6/WB+b05mrZyQ5Y/hbZ26NpI1AqEKZrycv1iuNiqrNqiSpkCtorDDW8989NH5Izy4/K8np128+cHMUTQQSj4OiEK4wttImcCJabpTVsA1JUilf0mh+tOe/y+VfSKSK36rGZA9OV+uratmWJGfLXD/nKLvPZuVCICRGRrfNb1YlStLkyGRf5yi7L/9i4RiJ4XsMn+wiEXeByNTIVF9nq7p3JzCGR2JkdL7uOX95ZJ/vWKdIBNgZCWaEK6Mrop4bafuoaJS8SScmokgM39vmkz049XPT/KbuS0KARMhoBbN7G22/sU7SCYmU0QpmT6z3ue2dfh2JxHy9/1h3LRxTJALsjAQzwsVENNDglA4LieGO9QxVNfo9HkMi6YSEYiLKRBTpZ21mj7nznLXe72ISO5OQNNYG2JmU8Pl61d/5y1JXBTOLScCOSDAjPK2mVOkM0lTqY5A22dVhtVrhtWsAAg1O2XKDpGnWpdqq82xyUj+J1snDneeVi85AN0ECVTCTdELS1CtSo+w854rSyETvf7d7IpqwWPdspe0zwcxEFIlTL0vNmvNcKEnF3s8mTXrSKcjCsaeCmTE8kqC6Itmm8zwyKRVGev+7CV84Dqtfp0gE2BkJZoSnck3SxgRydJ/Ux3mFKpY61RK2Ka0vhN68KPm9kVai+gEJ1F35kOujKxmd7CSkmzVvxVQC+L3MU2IxCQnUfU5jH+cVanRKKm4kpBvljTFCcgSpdOJuBSSO311JkjN+37x7pLbiJLASJKyqRsbwSIRAsT7jLDZLTp9eWw+vXQPAziQgeiSYER7P1ro+OyzJuyq6/ELw9gxQoA6L89uQNIFj3VXtlLBY91Q6BUg6EetIBL9b5iUnGZ3gs1mD9OvcrYDECTXWk1XFHFbSiVhHIgSJ9Vwu0f16kDG8ezHp0vql0NoEpA0JZoTH76VfmxK87SbI4HT/6H4VN1aDV+urWq8nazUYGRRkcCplNtZnSjPKm3z7eyqNSqhtA0IXNNanr+s8J2wxKcjOpINjB5UzzhB7qbKk2ubRA0BcEeuS+u/XZ8dn28+LlUU1Wo3Q2gVEIsyCsASP4YMch7NQXlCz1QytXUCakGBGeCrZrWAOsiJqjPF0WqyKIvYqIS4mJSzWgySYcyan2bHOZJQtdog9vxcBbUpypVPV/1mNhVxBB0sH2685JgOx130cTr9SEuv9juGLuaJmSjOSpJZtaaGcrCP+kEFhxvpywmK95v/OpNH8aHss0LRNLVWWQm0bkBYkmBGeoBXM08m9hTpI0knqOq+RpBPiLsj5bVKiYz3IYpIkHR7vXHLIOcyIvQzvVgga6/TrSJTAse6qYE5YrAepYJa8/TqxjtgLc7dC0mI9QAWzxKWeQC9IMCM8oU5Ek1XVGOQGaklUMCNZQp2IJivWw1xM4rxGxF6o2+aTOxENGuv064i9wLHu3pmU4Fjvs6pRol9HwmR44TjUWF8j1oHtkGBGeIJupU3wRDTI9jqJwSkSJszdCgmLdU+lExNRpF3grbTJnYiGWcFMrCP2Ah+HQ5GIxGISEiDU+XpyYz3obgX6dWB7JJgRniyviIa4vY4OC7EX+IKQ5FYwMxFFpmT54q+AFcz060iUoP16SopEWDhG6mV5vl71f3mvxBge6AUJZoSHiagkBqfIALbSSiLWkQFMRCVxRAYygFiX5G/hmMUkJEqWj74KWBDGGB7YGwlmhCfoVtrxWSlX6HxXvRxOuwYgaFXj3Nhc+5lLAxB7lYBHZEwcksxG97O+IDWq4bRrADyVTgxOkXZBt9JOdhIvWr0sNRvB2zQA1trAR2TMjbv6dWIdcRf4OJwjneeVi1KrGbxNA9Ad634Wjol1JEqlk2QNHusXpFYreJsGoNlqarW22n49NTLV93ccGmMMD+yFBDPCE3RFNJeTJrs6rQSot+paq69JknImp8niZN/fQfUDEiVorOcLTpJ502oyqvuqzaoqzYokqZAraKww1vd3kGBGogSN9cKINLGZfLGJifVyo6x6qy5JGs2PqlQo9f0d7n59fn0+tLYBkQga68Wxzt+zTWltIZx2RWytvqamdZLhY4UxFfPFvr/D069TJIK4CxrrIxPSZoFFqy6Vl8JpV8RW66uyspKkqeKUCptFbX1wx/p8mX4d2A4JZoQnaIclJXLrfPcFfznTf1i5qx8W1hfUsslYDUZGuWPdT1WjlIpYN8b0/R3dSSdrbShtAyIRRr+ewK3zQSsapa2LScQ6Yi2UWE/e/QpBt8xLFIkgYUKfryck1gMehSNx9BXQCxLMCE/QrbRS4ieifrbRSlKpUGoPbBu2oaVKMlaDkVHlgEdkSMmciAY8k1WSxovj7V0OtVZNV6tX9/gbwBAF3TYvJfJ+hTAmopPFyfYuh0qz4hkrALFTdm2bz/DCsR/TI9MazY9KciqiN3c1ArHEfN13rB8oHWhXPq/UVlRuJOc4T2BQSDAjHNaGtCKa7Imo36STxKooEmJLrGdnIuqpdPJZ1ShxTAYSotViIir/E1FjDJWNSIZmQ2qPZY1U8tm/eWI9IWP4ECqYjTGM4ZEMjaq0uQBi8tJo/+cQS8rsfD1ncpzDDOyBBDPCUS9LzY2LuvKjzllsfnRfHJAAQS/42+TpsNbosBBT1RXnfEVJKo5LhVF/35PAiain0ilIrDMRRRJUr0kb5xVqdNo5O92PqWRvpQ2ycMzlX0gE96VfpX1SLu/vezxJp2SM4T2xHmDh2HNZN7GOuOregejjqDdJiZyve3Ym+Vw4ligSAfYy1ASzMeYeY8wpY8wZY8yHt3n/HxtjHjfG/MgY8zVjzE8Mo53oQfc2Wt8dlnvbfHY7LC4OQGxVQjgeQ0rmRJQKZmRJGNXLkne3wspF/98zQGFUMEvEOhIijKNwpOTvVgiwcMxuBSRCFLGekIVjz90K7DgGIjO0BLMxJi/p45LeLuk2Se83xtzW9bEfSLrdWvsKSZ+T9L8PtpXoWRjHY0iJ3DYfxmVAEh0WEiKsWPdUPyQj6RTFcTjz6ywmIabCOApHyux56xIJZiREaP168hLMYVUwE+tIhNDm6+5+nTE8gI5hVjDfIemMtfZpa21N0h9Lepf7A9bar1tr1zdePiDphgG3Eb0KbXDKRFRicIoYc8d6kKrGBMZ6FFWNLCYhtjK8cBxWv05VIxIhw7EexdFXxDpiK8uLSTWOyAAGYZgJ5uslnXO9Pr/xs538uqQ/2+4NY8wHjTEnjTEn5+dZSRqKsJJO3VtprfX/XQMS1hEZTESRCGFVNXZPRJMW60xEkXahVTAzEZWIdcRYhheOQ4v1CWIdCRDafD2bl/xJFIkAe0nEJX/GmF+RdLukP9jufWvtJ6y1t1trb5+bm9vuI4ha96UBfo1MSJv/0W/WpPXFYO0agCjOdGJwitgKK9ZHp6XihPPcKHvPhYspd6UTVY1IvbDOWx87IBVKznNtVaos7/75GAgr1pmIIhHC6tfHD0q5ovNcuSbV1nf/fAzQryNTwor1iTnJbFwGWl6S6pVg7RqAKI60JNaBrYaZYH5e0jHX6xs2fuZhjPk5Sf+LpHuttdUBtQ39CmvLjZS4m2m5bR6ZElasG5O47bRc8odMCTPWE3bmemixPkasIwHCivVcLnE7FjyxHmQMP9YZw7OYhNgKLdbz0mRnUSUJsR7WcTgsJgG7G2aC+SFJNxtjbjTGjEh6n6QT7g8YY35a0r+Xk1wmguMszARzkpNOAQanM6UZFXIFSc4qa6UR/9VgZFBY2+alrolo/LfYhTU4PVg6qJxxut8r1SuqNWuB2waELqxKJylxW+fDqmqcHZ+VkZEkLVWWVG/VA7cNCF1kY/j4x3oUl/wtlhfVbDUDtQuIRFSxnoAEc1hHWroLwubX59WyrUDtAtJmaAlma21D0m9K+oqkJyR9xlr7mDHmI8aYezc+9geSJiV91hjz18aYEzt8HYbNs5U2aNIpuRPRIB1WzuQ8FRCsiiKWwto2L3UlmLNT1ZjP5TVbmm2/ni9zdwBiyJ1gDnJWo5S4heOwLvQs5oqaKc1IkqysFsvxP/YLGRTqGD5ZuxU8sR5g4XgkP6IDo86YqGmbWqosBW4bELpQYz1ZCeawjrQcK4xpamRKktSwDV2pXNnjbwDZMtQzmK21X7LW3mKtvcla+9GNn/22tfbExvPPWWsPW2tftfHn3t2/EUOT4QrmsDosifMakQAZjvWwjsOROCYDCRDq0VfJ2q0Q1oWeEv06EiDUWE9WkUhYFcwS/ToSINQxvPuiv3iP4a21oY7hOSYD2FkiLvlDAmR023x3hxWk0klicIoECLOqMUET0ZZtaaW20n69Wb3gF0knxF5GJ6KNVkOr9VVJkpEJHOtMRBF7GV04rjfrKjfKkqS8yWti8+Jhn+jXEXuRLRzHO9YrzYpqLec4umKuqFK+FOj7mK8DOyPBjHB4kk7ZmYiuN9bVtM45a2OFMY3kRwJ9HxNRxF6Y57ImaCK6UluRlZUkTRYn2+el++UZnK4R64ihjG6l7V5I2jwv3S8mooi9jC4cu4+9mh6ZljEm0PcR64i9UI++cs/X4x3r3fcqhBnrLCYBXiSYEY5QK5iTc35bmNXLkvfiAAaniKWMbqUN69KvTYcnWExCzGW00inMbbSSt19nIopYymgFc9j9OglmxF6o/bp7vh7vWA/rDpVNxDqwMxLMCEdGb5sPeyJKh4XYC3MxKUkT0ZAu/dpErCP2Mpp0Cnsiys4kxJq1ER5zl5xYD3rWukRVI2Ku1Qp5Z1JyKpjDvFdBol8HdkOCGcG1mpLrP9wqBZyQTR6STN55Xl+UGtVg3xehsJNOdFiItUZNqq85zyYvBR2kTR6WtLFNbW1eataDfV+Ewh6cehLMZWIdMVMvS42K85wrSsXxYN/nTjqtXnLGDTHlrmoMO9bn1+cDfx8Qqvq61NroewslqTgW7Ps8CeaLTlIrpjyxHvLCMbGO2KmtSHYjHkcmpXwx2PdNd8W6tcG+L0Lu+XroFcyM4QEPEswIrtKVXM7lg31fLr+ReNoQ4woIKpiRKd2VDwHPMFO+KE1sbh+3TuIppkLfXjdGrCPGunclBY31wqg0ftB5tk1pNb7/5tlKi0wJc6eCJI2MdwpNWnWnUCSmPLEextFXFIkgzsKO9dEpafMS3GbV+/0xE/bCMUdaAjsjwYzgwu6wpMRspw17cNq9Itqy8a38QAa5Yz3o5SCbkhLrUVYwr1+WjXHlBzIoin49IcdfRRnrl9YvEeuIF2JdEotJyIAwj8LZ5BnDJyPW2XEMRIsEM4IL80baTQk5wy3s7XVjhTFNbawGN1oNXa1e3eNvAAMU5lnrmxIyEQ17e93kyKTGC86xA9Vm1fP9wNCFeU7jpu7ttDEV9tFX0yPTKuVLkqRyo6zV+mrg7wRCE8UYPiELx55YD2Exaf/ofhVzzrEDK/UVrdfXA38nEJosz9dr4V7oOVOaUcEUJDnJ68rmkWIASDAjBJFUPySjwwq7glli6zxiLMu7FUI+DkfiQiDEWCT9uuvG+RhXOrkXjsOIdWMM22kRX1QwSwpn4dgYQxUz4ivq+XqM+/Wwx/A5k9Ps+Gz7NWeuAx0kmBFc5Emn+HZYYVcwS2yxQ4wxEZUUXoKZLXaIrchjncUkIBZYOJYUTazTryNWoo71OPfrId+tINGvAzshwYzgothKm5CJaNjb6yQ6LMQY2+YlRbOYRPUDYoVt85KIdWRAJGP4ZCSdoo71y2USzIiRLM/XQ77kT/IWicyX6deBTSSYERzVD5KiWRGl+gGxkuFt81FUOrm3zbOYhFhht4IkdisgA6K4+CspCeaQj8ORGMMjxrI8X4+ggnlujKOvgO2QYEZwTEQlMRFFBmR423zklU7EOuKEiagkttIiA4h1SdFUNdKvI1aYr0vi6CsgaiSYEZy7wwrtVlpXVePKRcnacL43ZJ7BaUhJJy4DQmxFEevdE9GYxnoUlU5MRBFbkVc1xvc4HPdENKykE/06YiuSMXzykk6hjeGpakRcRXH0lWcXYnwXk7gzCRgcEswIzt1hhbUiWpqWRiad50bFOwCOEZJOyJRIYn2/VBhznutrkium4iSKxSQGp4itSgSxPn5Qyo84z9VrUm0tnO8NkbU2kt0K9OuIrSj69Yk5KVfY+P4rUr0czveGqGVbnlhntwJSL4pYnzwsmY100vqC1KiG870haraaWqmvtF9PjUyF8r3068D2SDAjuCi23EixP8Ot3qxrvbEuScqbvCaLk6F8L0knxFYUsW5M7LfTVhoVVZvOoLmYK2psMyEeEBNRxFZUsR7zaqdyo6xGqyFJKuVLKhVKoXwv/TpiK4pYz+WkSfdOxPjF+lp9TS3bkiSNF8ZVzBdD+V6SToitKGI9X5AmOv1bHHcnrdS8yeV8Lh/K99KvA9sjwYzgokowxzzp1F3RaIwJ5XtnSjPKG6fzu1q92k5sAUMXxbZ5KfbnMHdXNIYV67NjszJyh+sZaQAAIABJREFUvmupsqR6qx7K9wKBRbZwHO+t81EcjyFJh8Y6E9HFymI7iQ0MXRRVjZJ3DB/DpFMUZ7JK3uNwFtYX2klsYOgGMV+PY6xHsANR2ppgtjE94g8YNBLMCM6zlTaqpFP8JqKepFOIE9F8Lq/Zsdn2a1ZFERtRbJuXus5cj1+COaqJaCFX0MGxg+3XC+sLoX03EEgUZzVKsV84juJ4DEkq5ouaKc1IcrbmL5YXQ/tuIJDIxvDu3QoxH8OHGOulQqk9TmjYhpYqS6F9NxBIVufrERxnKUnjxfH27uV6q66r1at7/A0gG0gwIxhrM7si6umwQjq7bZN7i938+nyo3w340mpFcxmQ1JV0it/gNKoEs8QxGYihVlOqdP7NqxTiv/mY71YYVKyzcIxYaNZd9x4YKcx/88S6JGIdMVGvSHXnWEflCp17jsIQ84VjdwVz2PN1Yh3YigQzgqmvS82a81woScVwziaV5D2DOeZJpzArmCVunEcM1Vakza2exQmpMBLed8d9IhrR9jqJwSliqHJN0sZWz9F9zhmLYYn7boUIJ6JzY/TriBn3QtLYfufs5LAkKekUdoJ5jH4dMdO9AzGko94kdfXr2ZqvUyQCbEWCGcFEtY1Wiv0lf1Ftr5PosBBDUZ3TKMV+IhrV9jqJC4EQQ56JaLj/3jXtWkyK4cKxO9aZiCL1Ih3DJ2fbPAvHSL1BxXocx/C16HYcE+vAViSYEUxUx2NIsZ+Isr0OmRJlrMd9IjqgxSRiHbEQaazHe+E4ygpmFpMQO5GO4WO+cBzRPSoSi0mIoUHFehz79Qjn6/TrwFYkmBEME1FJdFjIAE+sh1z9EPOJKGcwI1MynHRi4RiZkuGFY0+sU9WItBtUrFMQBmQeCWYEE9WNtJI0eVgyG/9E1+alRi3c7w+I7XXIlEhj3XV+29plqdkI9/sDGlQF83yZCz0RA4M6+mr1onN5aIwMbLdCmX4dMRBlv+45l/Wicyl4jERZwcxF3YidKGPdU8Ec81hnvg5EjgQzgolyRTRfkCY6/+HWaryq+yK9IIQOC3ETZawXRqTxWefZtpwkc4xEWv3AZUCImyhjvTjW+c5WQ1pfCPf7A6LSCZkSZayPTkqbidtmTVpfCvf7AxpUBTM7kxALkcb6tHP5tyQ1yt5kdgwM6m4F+nXAQYIZwUTZYUmxvnF+kNvrbMxWg5FBUcd6jLfOR5p0miDWETNRXugpeauYY7adlokoMiXyMby7sjFesR5lvz43Ptd+JtYRC1HGujHe+XrcxvAR3q1Avw5sRYIZwUS5lVaK9UV/UW6vmyhOaGJjNbjWqnkGwsBQRB3rMT6vMcrtdVPFKY0VxiRJ5UZZK/WVUL8f6FuUW2mlWN+vEOVt8/tH92skNyJJWquvaa2+Fur3A32LfAwf34XjKPv1mdKMCrlC+/dUGpVQvx/o2yDn63Ebw0e4cHywdFB5k5ckXaleUa0Zr+M8gWEgwYxg3MdWZGgiaq3Vgmtrb9gTUYktdogZT6xnp4LZWus5GznsSidjjLcCImbHgyCDVi52niOP9fhMRLtjPeyJqDHGU9lIv46hW4041mO6cNyyLS2UXWP4kPv1nMlpbowqZsRI5LEezzF8y7a0UIluvp7P5XVw7GD7NbEOkGBGEPWy9OMvdF4f+snwf0dMJ6I/WviRXlhz2jNWGNPRyaN7/I3+se0GsVFbk079Wef13EvD/x0xnYj+4PIP2vE3XhjXkYkje/yN/hHriI3qqnT6y53XcxH0655Yj89E9OSlk+2k00RxwnNRV1jc30msY6gqy9LpP++8PhRBvx7TheOHLj6kpYpzJvRUccqz8BMWikQQG+Wr0pP/rfN67tbwf8d0PAvCHnjhgfYu4OmRaU8yOCz064AXCWb499j9UmXj6IYDN0ovel34v8MzEb248+cG7LOnPtt+fvuNb29vcQ+T5xbqMrdQY4geu0/a3GI2c5P0ojvD/x3dt1DHxOdOf679/I4Xv0Oj+dHQf4cnwVxmcIohevRzUm3VeZ69Vbrh9vB/R0wnou5Y/8UX/6JG8iOh/w53rM+v069jiB75rLR5TMuh26TrXh3+74jpLsTPnu6M4d950ztVzBVD/x3EOmLjkc86l+9J0uGfko6+MvzfEdOF48892enX773p3vbRNWFiDA94kWCGfw9/qvP8mr8j5SL45xTDiehybVlfefYr7dfvvvndkfweqh8QGyf/qPP8mg84F3qELYYXf12rXvPG+i0RxfoYFcyICU+//oGIYt19t0I8+vUrlSv66tmvtl9HFuv064gDa6WHB9yvx2QMv1he1Nee+1r79S/d8kuR/B6qGhEL1naN4f9ONLEew90KC+UFff25r7dfR9Wve47D4Zg7gAQzfLr8hHTuAec5V5Be9bei+T0xTDp98ekvqtJ0Luy49cCtevnsyyP5PZzfhli4+Ij0/EnnOT8ivepvRvN7YjgR/fxTn1et5VzY8ZMzP6mXHXxZJL+HIzIQCy/8tfTCD5zn/Kj0yvdF83vct83HJNZPPHVC9VZdkvTygy/XS2ciOC5AxDpi4oUfOH27JBVK0iveG83viWHS6cRTJ9RoNSRJr5x7pW45cEskv4fz1hEL509Klx9znovj0cW6Zwwfj/n6/WfuV8M6sf7qQ6/WTftviuT3HJ5gMQlwI8EMf9xVTi/9RWny0I4fDaQ76WRtNL+nR9Zaz9a699zyHpkoVoJF9QNi4uFPd57///buPL6q6t7//2tlIhNTCCBDmFQEmWRwqNZZEVFrW+vcVq1TVRyuVysqbW17+6u14qzt1WIdCs5Xa62CCP4QUOZJZBaZwpCRJITMZ33/2CdnCEkgydn75CTv5+PBI3vv7HPWiu7PHtZea32GXgJpme6U06l19Wq01oYNmb/8uMtdK0u9GqVVCL2uD/shpGa4U05YrEf/QTRasa7rukRNaO/lYT92J+kXtLrcCj7rC4/1wYp1aeNCr+vDfwzJkU9KD7S6JH91Y92t3sugWBepSw3M0nRVZbD6jeD62OvdKyu5s/PGFaDqYHDO5yhZk7eGzYWbASe538RBE10rSxcsibrKUljzVnDdzVhP6er0mgSoLIGKEvfKOgIrc1bybdG3gD/WByrWpQ2rOODM01jLzVhPzYTaOU/L9zv3FFG0bN8ythVvA5zkfhMGTHCtLMW6RF15MXz9XnDdzVhP7wEm3lk+mA/VFe6VdQSW7l3KjpIdgJPcb/yA8a6VpU4iEnVl+2FtaKzf4F5ZHY8C/B2uSnOhpsq9so7Aot2LyD6QDTjJ/c7vf75rZamTiEg4NTBL0637V0hyvwEw8Ez3yjKmVQ2dD30bOmHABDomdXStLD2IStTVTe434HT3yjKmVQ2nDUvuN3AiaYlprpWlB1GJurXvhST3Gwz9vudeWXFx4dNkRLkXc2isXzTwIlJrX2q7QA+iEnVr3w0m9+s+FLJOcq+suHhID17fWtM9/MVHX+xKgu5auoeXqAtL7jcc+ox1r6z4REirnRbGRj1Zd93kfskJya6VpVgXCacGZmm60GQBY1xK7heqU+vITFtcWczM72YG1t0cbgPQLaUbccb5b1tQXkBVlN8GSzvkRcKvUK0kC3Xd5H5uDqMFyEwNTjuSX5YfmB9SxDNeJPwKFfbiOHoPovvL94cl93NzegwIfxDNL8unxlfjankiYQ5J+HW9+7HeqXXEen5ZPp/t+Cyw7vY9fFgelbIcbJSn+JN2ph3HulfJ/WqFdhLJLctVrEu7pwZmaZq6yf1G/9T9MsN6OkWv0alucr8RmSNcLS8hLoFuyd0C67llua6WJxJm71rYtdRZdjO5X6hWkvzro60fhSf3y3QnuV+txLhEMpKd+W4tlryyPFfLEwlzSHK/q90vs5XEulfJ/Wp1iO9A5w7OHJg1toaC8gJXyxMJs3sl7F3jLCckw6gr3S+zlSTr9iq5X63UxFQ6JjqjHKt91RRWFLpankiY7OXeJPcL1UoS/XmV3K9WWmIaqQnOyKeKmgqKK4tdLU+ktVMDszRNaMKvIRe5l9wvVGgP5sLv3C+vHnWT+/1k8E9cS+4XKvSt6M6Sna6XJxIQ2nvZzeR+oUJjvSCKsb4xPNa9oFiXqFkRcl0//lL3kvuF6tQnuBzNWA9N2uty7+VainWJmrBEnj9yL7lfqFZyD+9Vwq9QPdMU6xIlob2X3UzuF6oV3MP7rI/3NgXnnVasi3hPDcxy5KrKYPWM4LqbiUFCHTUyuLxzsTdl1lE3ud9Fgy7ypNwh3YK9qVblrPKkTBEqD3qX3C9Ur1HB5SjF+qrcVZ4l9ws1tNvQwPLq3NWelClCxQFY41Fyv1C9on9dX75vuWfJ/UKF9pJelavrunikvBi+DjayRucefok3ZdaxZO+SsOR+Fwy4wJNyw2Jd9/DilfIi75L7hWoFsb5ozyJ2HdgFuJ/cL5RiXSRIDcxy5A5J7neWN+WGJhvatSwqmWm9TO4XakyPMYHllTkrPSlTxNPkfqH6nRJc3rUUaryfi7hucr/0pHRPyh3dY3RgecW+FZ6UKeIk9ytxljMHQ/9TvSk3NNZ3LoEozEUcmgTI7eR+ocKu6/t0XRePHJLc72Rvyg29h9+xCHw+b8oN4WVyv1Ch13Xdw4tn1rztXXK/UGGx/pUzD7THQmPd7eR+oUKv6ytydA8v7VtUG5iNMROMMRuNMVuMMZPr+X0HY8xb/t8vNsYM8L6WEhA6tM6L5H61OveBzv2c5aqDwfnjPFJSWeJpcr9QoTenq3JXKSGQeMPr5H61OmcFh85XHoB9a70p18/r5H6hQm9OV+Wswme9fwiXdihasd51IKT7h5RWFDn5HTy0v3w/s7d5l9wv1OieIY1OuSsV6+KNaMV6t6OhNpFt+X7I2+hNuX4F5QWeJvcLVbeTiJJ/ieusjV6sZw4OTrtTVgB5m70p18/r5H6h6r5MUqxLexa1BmZjTDzwPHAhcDxwtTHm+Dq73QgUWmuPAZ4E/uxtLSUgZ73zNhKc5H4nXOtt+aG9nXYs8rToj7Z+FEjuN7jrYNeT+4Xqk96HHinOPNelVaVs3u/txVraoX3fwC7/0La4RG+S+9UyJuqxXlFTATjJ/Y7vVveS5J6sjlmBpJ4lVSVs2b/Fs7KlndqzGnb7e9p4ldyv1iGx/pV3ZeMk/KpN5OlFcr9QAzsNpEuHLoDzUuu7oujMVSntSPYKJ97Bu+R+taIc6//a8q9Acr+R3Ue6ntwv1KAug+iU1AlwGrq3F2/3rGxpp7KXBztnJKR4k9yvVlwcZEUv1r1O7hfqmC7HBJJ65pXlsatkl2dli7Q2CVEs+yRgi7V2K4Ax5k3gUmBdyD6XAo/4l98FnjPGGKvXQmEmvDwC9/+D+KCvf/L+pFSY9XPXSwxTWRIsf9M0yP7Qs6JDMz9fPvjyhpP7WQtlhVCw1flXmuf0wqwo8f/0L1eXOcOBrc//swZ81fVsq8HYGkan+JjVwSlixZuXM6TCgz+6iXxAjoEd8ZAdB8VxUGqgFP9P/79K4+xb4/+MzwSXq/0/a0L2UaBHQ51Y/8Tjl0lhsf4S7Hrfs6JDY73RRJ7WwsGCYKwfzK8T6yVOvNeNdV91ILbri/UxqT5mJzlFrHzjMga31liPgx1xsCsOSvyxfsDAQQ4f6zUh2xTrUWbrxPrHHjYwA1SFxPqGv8GOdxvfP4IKygsCy432cmow1oudGK+9tjcx1ken+vjcH+srZvyQo1txrG+Pc67rJXFOnJcq1mNPWKynwX+u8rb8muJg+etegG1vNb5/BIXGeqOjkqx14rtgq5Og7IhivTostuvGepw/1ufVXtf/eQkDKl3+g5vBB+zzX9fD7uEV67Gnbqx/5GEDM4ANifVvnoXvZjS+fwTll+cHlg9/Xc8Pua4X+O/fS5od6/G2hlGpPhbUXtdfn0hWK4/1XfFQYo481gPP6SjW6zo9tS9Trvok2tVoNaLZwNwHCE2zuQuoOyFYYB9rbbUxpgjoBuR5UsMYsTvOYl0f/hIH8f4O77YSSne7XF49EmsP16qolJ8cnxxM7met0/Nr82xnCFDBVij4NjhHdQSNrklnVocMAFbaUq4pyj/MJ9xVBXyVkszS5GR2JCawIzGBnQkJVHg1ZYq4rBXFepTKD0vuZ63T+2vzp5C/OXhD6kqsd2R2N2d44QpbypWtINYXpqSwPLkD2xMT2KlYb2PiCAxka6exnpaYxoUDL/TXwTq9vzZ/CvlbnDjP3+pM4RFhY2s68rk/1lf6Srk8yrFeCSxMdWJ9R0LtdT2RyjiPhlaLy0JjvSLKsR6d8sOS+1nr5HnY8pkT6/nfOo3KLsT6aF9H5mXUXtcP8KOigsN8wl2VwILUFFYkd2B7Qu11XbHedijWw5L7+XzhsV57D1+bZyaCxvg6sSDDGZ200h7g0ijHeoWBBSlOrDvX9UR2JSQo1l1QUHUg2lVoVaLZwBwxxphbgFsA+vXrF+XaSFtkMNw66lY6Fu50EqWsfQ8Kt3lS9pjyYNemFckdsIDXl4YaYGlyB2ampzE7NYXi+HiPayDiDYPhlyNvJb1gmxPna9+D/d4Maw2N9ZXJHTwps65qQmM9lZJ4NSZL22Qw3DbqNlLzvw2J9R2elD26Ivy6Hg3VwJLkZGamp/KZYl3asDgTx22jfklK7mZ/rP8fFHkT663lur4kJZmP01KZq1iXNizOxHHHCXeQnLsxJNZ3Hv6DERB2Xe8QnVivAhanJPNJWipz01I5oA4hEgXRbGDOBrJC1vv6t9W3zy5jTALQGTikm4e19kXgRYBx48a1u176n5z/sjcFxSVCxx7elFWfD+6AbV84y+f/AYb90JtyS/aRvv5jOn/xd8j978b3TUyDjEGQMRA69oIO6ZCUDh06Bn8mJjvzWJt4iIv3/0xw5q4K2xYPJo5jgbSZV1NaXUZOQgK7b55Nn9Senvzp6/Zv4V875zBr93zyK/Y3um/XpE5kpfWiX1pvuiR1Ii0hhfSEVFITUkjz/0uKSyLexBFn4ur8jCchsB4f2G4wDU9TIO6Jdqy/fxtsX+Asj/8jHP8Db8ot3kv6ho/pPO9/Ie/exvetjfVugyD9qPBYr433Jsb6cUDKJ1dRVlPOnoQE9tz8Gb1Svfn/8M3+LXywYzaf7l5IQeXhY71fWm+y0nrRJakT6QmppCWkKNZjUbRj/b1bYKd/nsYL/gxDJ3pTbvFe0tf/h86fPwd5mxrfNzHNifOMkFgPvaYnpUNiSp14bjzWh+Ij+ZOrKa+pIDsxgX23zKVnSqYnf/rawk18sHMOs3cvoKCy8R6bGUmd/df1Xv7rumI9ZsUnQXr36JX/7o3B/A4XPgbHXehNucV7nFif+4wzCqkxSenO/XvG0U4S0g4dD72PrxvrgWt8/bE+zPpI+uRKKn1VbE9MJO/WeWQmd/XkT/+6cCP/2jmH2bsXHlGsO9f1o5oc6/EmPmRdsR510Y71d26A7GXO8sSpMHi8N+UW73Zi/bOpTm/lxiSl+5/XB0HHo/wx3rJYH26rSfj4KqptNd8lJVLwy/lkdOjsyZ++umADH+6cw+w9CymsbLx3dkZSF/ql9VKsR1CyP6+GOKLZwLwUONYYMxCnIfkqoG42qQ+B64CvgJ8AczX/8qH69Dkp2lXwRv8zYIs/O+zedXDyHe6WZy2sfgM+vt+Zj6muDp1gyMXQ/1QnS3bGIOeGNMIn2ARgVI/RfLn7SwBWlO9z/f95ZU0lT694mtfWvVbv73ul9eKCARcwNGMo/Tv1J6tTViCRiUiL9T8dvp3nLO9dDyfd5m551sKq6fDxr6Cq9NDfd+gMQ/2xnjHI//DZw5VYH9ljFIv3LAZgZUUuvfqcGNEy6qqoqeCp5U/xz/X/rPf3fdL7ML7/eIZ2G0q/jv0U6xJZ/c+A7/wvk/athxNvdrc8a2HFazBzMlQdPPT3yZ1h6CXQ73tOnGcMciXWE4ER3UeydO9SAFZW5jKh99iIllFXeXU5T614iunrp9f7+z7pfRg/YDxDM4bSr1M/sjoq1iWC+p0O2/wvk/ZthLE3uVuetbD8FZj1UCOx/gN/rA9y7uPTukc81pOA4ZkjWJHjJFRdVZnHeb1OiGgZdZVXlzN12VTe3Phmvb/vm943EOtZnbLo17EfHZM6ulonaUf6fR+2O/ex7NsIY25wtzxrYdnLMOthZ97kupK7OB1Vsk5xNdaTgWGZw1id6yRUXVWZxzlHjYxoGXWVVZcxddlU3tpY/7z2WR2zGN9/PEMyhgSu64p1cVvUGpj9cypPAmYB8cDL1tpvjDG/B5ZZaz8EpgGvG2O2AAU4jdDSXvX7XnB5xyJ3yyorhH/fA+s+CN+ekOL0uhh+GRxzntND0QOjQxqYV+as5JKjL3GtrC2FW3hg/gNsKgzv1ZWZkskFAy5gwoAJjOo+ql2/qRSXeRnrBwvg33fD+jqJQxNT/bH+EzjmXEjwZrjbmB5jAg3MK3JWMHGQez06NxVuYvL8yWwuDO/VlZmSyYQBE5gwcAIjM0cq1sU9/UIzznsQ6x/eCRs+Ct+emAZDJjrX9aPP8SzWR/cYHWxg3reSCQMmuFbWxoKNTJ4/mS37w3t1dU/pzgUDLuDCgRcyInOEYl3cExbrX7lbVmkefHgXbPxP+PbENBhyUUisJ7lbD7/RPUYHGphX5KzgvP7nuVbWhoINPPDFA2wt2hq2vUdKDy4YeAEXDriQ4ZnDFevinrB7eJdj/UCuc13fVCfBWlJ6MNYHne1ZrI/pMSbQwLwyZyXn9DvHtbLW5a9j8vzJfFf0Xdj2Hqk9mDBgAhMHTuT4bscr1sVzUZ2D2Vr7MfBxnW2/CVkuBxpJ+SvtSu/RzrCfmkpn6MuBXHeGAH03H96/FYpDZmzJOBrOfggGT3CG0HhsTI8xgeWVOStdKcNayxsb3uCJ5U9QUROcR+q03qdxw/AbGNdzHPFxmntZPNB7jDN031cFeRuhNB/SukW+nK3z4P1fQklIEpJux8JZk53G5aS0yJd5GKN7jA4suxnrMzbM4IllT1DpC6a5/n6f73PDsBsY23OsYl280XecM8TU1kDOOuflbooLw8e/netMvXNgb3Bb5nFw1gPOdT0Kse7Fdd1nffxz3T95asVTVPmqAtvP6HsG1w+7njE9xijWxRt9TwQTB9YH+75xEuUmuzB8fMsc+OA2OLAvuK37EDizNtZTI1/mYYzpOYZpa6cBzsskN/isj9fXvc5TK56i2lcd2H5W37P4+bCfM7bnWOKM5mMVD/Q9ESdbkIW9a6CixJl2ItI2z4YPbofSnOC2Hsc7sX7s+KjE+ugeo/nHN/8ACLxUijSf9fHKN6/w7Mpnw2L97KyzuW7YdYzuMVqxLlHVJpL8STuRmOw0PO3093LaucgZyhop1ZXw+R9h4dNAyEwsY66DCX+KygNoreGZw0kwCVTbarbs30JRRRGdIzivU15ZHr9Z+BvmZ88PbOsQ34F7x97L1UOu1ttP8VZSKvQ+wcn8DLBzsdPDMFKqK2DuH+DLZ8O3j/uFM+dzFG5Ka43sPpJ4E0+NrWFz4WaKK4sjOkw9ryyPKQunsDB7YWBbcnwy9427jyuOu0KxLt5KSoNeo2D3CsDCzqWRna+xugLm/B6+ei58+4k3Obkcohjro7qPIs7E4bM+NhZu5EDlAdKTIvcCO+dgDlMWTOGrPcEeZMnxydx/4v1cPvhyxbp4K7kT9BzuNDhZn3N9PyaCPXmrymHO72DRC+HbT7oVzv+dM59qlIzqPiqwvL5gPQerDpKaGLlzz77SfTy88OHA6CeAlIQUHjjxAX587I8V6+KtlC7QcxjsW+uP9WVw9NmR+/6qMpj9W1jyv+HbT74NznvEs9HF9TmhR3D6m3X56yirLiMlIXLnnr2le3l4wcMs2bsksC0lIYUHT3qQHx7zQ8W6tAp6vSGxxa3htKV5MO18WPgUgcbllAy4cjr84JmoNi4DpCamMrTb0MD6qpxVEfvu1bmruezDy8Ialwd3HcybF73JNUOv0cVKosOt4bQHcuDv54U3Lqd2g6vfhIufjGqDE0BaYhrHZRwHgMWyOmd1xL57Vc4qfvyvH4c1Lg/NGMpbF7/FlUOuVKxLdLg1nLZkH7x0bnjjcmomXP0WXDQ16rGenpTO4K6DAadH0prcNRH77uX7lnPZh5eFNS4PzRjKW5e8pRdJEj1uTX9VvAf+fm5443Jad7jmHZj4WFQblwE6d+jMMV2OAaDG1vB13tcR++6le5dy2b8vC2tcHtZtGG9f/DaXDb5MsS7R4dbzevFueOmc8Mbl9J7w0/fgwkej2rgM0DW5K4M6DwKg2lfN2ry1EfvuJXuWcNmHl4U1Lo/IHMG7l7zLj479kWJdWg01MEtsceNBtKoM3rgK9oQ02g46G2770kns1UqEDp2P1LCbHcU7mDRnEgXlBYFt1x1/HW9c9AbHdD0mImWINIsbD6KVB51Y3xvSkHP0uXDbV95ltD8Cbgyd31a0jUlzJ1FYUQiAwXDD8BuYPnE6g7oMikgZIs3ixoNoZSnMuAL2hTTkHHM+3P4VHOfeXMdN5cZ1fev+rdw59072V+wHnFi/cfiNTqx3VqxLFLkR6xUH/LEe0pAzeIJzXY/kaIgWCr2uRyrWv93/LXfPvZuiiiLAifWbR9zM6xNfZ0DnAREpQ6RZ3HheryiB6Vc402nVOm6i87weydEQLeTGVHebCzdz9+d3U1xZDECciePWkbfy6oWv0q9Tv4iUIRIpamCW2JJ1UnB5z2rnIbIlfD5nDtbaofgYZ4j8T/8POvVq2XdHWKQbnfaX7+f2ObcHHkK7dujK/57/v9x34n0kxXuTDEGkQVknB5d3r3ReBLWEzwfv3wLZy511EwcTHoVr34WOPVv23REW6UanwvJCbp9ze+AhNCM5g5fGv8S9Y+8lMT6xxd8v0iKhjU7Zy51pLVrCVwOvd4tMAAAcG0lEQVTv3Rx8aWzi4cLH4Np3IL1Hy747wiJ9Xc8vy+f2ObdTUlkCQLfkbky7YBr3jL1HsS7RFxrru5Y5U9O1hK8G3rsx+NLYxMPEx50RSW7kaGmB0T1DGp0iMA9zXlket392OyVVTqxnpmQy7YJp3DXmLhLjFOsSZXVjvaaq4X2PRE01vPuL4EvjuARn1OFVMyAts2XfHWFjekb2ZVLuwVzumHMHB6oOAE7Czn9c8A8mjZ6kWJdWSQ3MEltSM6C7f6oIX3Wwsai55v4e1n0QXJ/wKJw6CeJaX2iEzuu0Nm9tWCK+pqqsqeTuz+9me/F2wJlv+blzn+PU3qe2uJ4iEZGWCZnO8HF8VZDdwpu0z34D6/8dXL/wMTjltlYZ66ENzGvz1lJZ0/yH8IqaCu6aexc7S3YCzhysL5z7Aif3OvkwnxTxSHoPJ5EuQE0F7G7hFFCf/ho2/ie4ftHjcPKt0AqHj4Ze19fkrglLxNdU5dXl3PX5XWQfcBIUpySk8MJ5L3DiUSe2uJ4iEdGpN3Tp7yxXl4WPJmqOmQ/CppnB9YufhJNubpWxHvoyaXXu6rDkXE1VVl3GnXPuZHepk6A4JSGFv573V8W6tB6d+0LnLGe5qhT2tmBaGGth5gOw+dPgtkuedvKmtMJYD72HX52zmhpfTbO/62DVQSbNncSe0j2AM43eC+e9ENaILdLatL4na5HDidQQu+WvwIIng+sn3Qqn/LL53+eybindGNBpAABVviq+yfumWd9jreXXC38d9lb1T6f/iZHdR0aimiKRE6l5mJdOC59z+ZQ7nIfQVqp7aneyOjo35hU1FazLX3eYT9TPZ31MWTCFVblOg53B8OgZjzIsc1jE6ioSEZEaTrvkJVj0fHD91Dudh9BW6qi0o+iT3geA8ppyNuRvaNb3+KyPhxY8FJjH2WB47IzHOL7b8RGrq0hERCrWF/0tfB7W7/8XjL2u+d/nsl5pveiZ6oyWOlh9kE2Fm5r1PT7r48H5D7I235kSJM7E8fiZjzMkY0jE6ioSEZF6Xl/0Aiz9e3D99Ptg9E+b/30u65vel+4pzgiKA1UH2LJ/S7O+p8ZXw+T5kwPPAPEmnqlnTg3kaRFprdTALLEnEjen386Fj+4Nrg+eABP+1LJ6eSASQ+dfWP0CH3/3cWD93rH3cn7/81tcN5GIi8Q8zJs/g4/vD64fdxGM/0PL6uWBSMzh9tzK55i5Ldi7675x93Fuv3NbXDeRiIvEg+imWfDJr4LrQy+B837fsnp5IBLX9adXPM3s7bMD6w+c9ABnZZ3V0qqJRF4kYn3DxzBzcnB92I/gnN+0rF4uM8ZEZEqcJ5c/yZwdcwLrk0+azBl9z2hx/UQiLhKdRNZ/BLMeDq4PvwzOfrjh/VsBY0xErutTl0/l852fB9YfOvkhTutzWovrJ+I2NTBL7Am9YO1c4szL1BT71sHb14H1D1k5aiRcNg3i4iNXR5e0tNHpw28/5G+r/xZYv3zw5Vw/7PpIVE0k8urGelOHme1dC+9cH4z13qPhspdiItZbmhDo/c3v89LXLwXWrzruKn52/M8iUjeRiAt9mbRzkTNnelPsWQPv3ADW/7k+Y+FHL7bKKXDqaul1/d1N7/Ly2pcD69cOvZZrh14bkbqJRFzdTiLWNu3zu1c68y7j/1zfk+CHf42NWA+Zh3nFvqZf19/e+DavfPNKYP1nx/+Mq4dcHYmqiURe3U4iTY317OXw3k0EYj3rFLj0hZiI9dApLJoz5/obG97g9XWvB9ZvGHYDVxx3RUTqJuK21h+hInV16QcdezvLlQcgpwlTRZTsdbJNVzhZWOnUB655GzqkR76eLgi7YOWsxGeP/CF86d6l/PbL3wbWT+t9Gg+d/BCmFc5fJQJA14GQ7k/AV1EEOeuP/LPFe5xY9ye7onMWXP0WJKVFvp4uCH0QXZWzqkmxvmjPIn7/VbDn5ul9TueBkx5QrEvr1e1oSPUn6ikrhLwmDB8vynZivcqf9LdzPyfJV1Jq5Ovpgrq9Gm0THsK/zP6S/1n0P4H1s/qexf3j7m/kEyJRljkYUro6ywfzIb8Jw8f374QZV0LVQWe96wC4+g1ITIl4Nd3Qklifv2s+f1z8x8D62Vln899j/zui9ROJqO5DoUNnZ7k0Bwq2Hvln9++AGVc5c7WD8zxw1QxITI58PV0Q+uJ4ec7yJsX6F7u+4NEljwbWz+9/PveMvSei9RNxkxqYJfYY07whdpWl8MZVUOQkuyIpHa55Czr1inwdXdKvYz8ykjMAKKks4dv93x7R57YWbeXuz+8OJBU5tuuxPH7m4yTEJbhWV5EWOyTWj3CIXcUBp8Gp2El2RYdOzoukjj0jX0eXDOw0kC4dugCwv2I/24q2HdHnvt3/Lfd+fi/V1on1IRlD+MuZf1GsS+vW7FgvcRqcSpwEOHToDNe+4yQOjBGDugyiU1InAArKCwLJdw9nc+Fm7p13LzX+ERpDM4by5zP+THwMjNCQdiwuzumJWOtIY7282In1A/uc9eQucM07TkLgGHFMl2NIT3Q6tOSW5bLrwK4j+tzGgo3cN+++wIvmYd2G8ejpjyrWpXWLi4N+IQmlj/R5vbwIpl/hNEqD80Lq2nchrVvk6+iSwV0Hk5rgvOTOOZgTSNJ3OOvz14fF+ojMEfzx+38kzqjJTmKHjlaJTU2dh9lXA+/d7AytAzDxcPmrcNQId+rnkubM4VZQXsDtn91Oib8nZ/eU7rxw7gukJ8VGr21p55o6D7Ovxhk+W5ud3sTDFa9Cz9hKdtWcOdzyyvKcWK9yYr1Hag+eO+c50hJjo9e2tHNNjfWaanj3F7DPn50+LgGufA16xFayqzgT1+RpMnIP5nLHnDso9ffa7pnak+fOfY7UxNjotS3tXFM7idRUwTvXBUcsxiXClf+E7oPdqZ9L4uPiGdVjVGD9SGJ9X+k+bp9zOwernV7bvdJ6KdYldjT1xXFNFbz9c8j1j1iMT3J6Lmce4079XJIQl8Co7sFYP5J7+L2le5k0ZxJl/l7bfdL78Mw5z5CSEBsjNERqqYFZYlPdm9PDDT359New8T/B9YmPwbHnuVM3lzWl0am8upw7595J9gGnJ2dKQgrPnvssR6Ud5WodRSKmqQ+isx6CTcHEdlz8BBx9TuTr5YGmvEwqqy7jrrl3sbt0N+DE+vPnPk/PtNjptS3tXFNeHFsLMx+AzZ8Gt138FAw6y42aua4p1/WDVQeZNHdSoEdUakIqz5/7PD1SY6fXtrRzTY31j+93knPX+sGzMPB0d+rmsrD8CoeZh/lg1UHunHsnOQednpzpiek8f+7zZKbETq9taeea8uLYWvjov2Dr/x/cdunz0P9UV6rmttCp7g43D3NpVSmT5kwip8yJ9Y6JHRXrErPUwCyxqecwSOroLJfsgf2NDCld8hIsej64/r1JcOJN7tbPRUeaOMBnfTy84GHW5Do9OQ2GP5/+Z4Z1G+Z6HUUipucIqO2BW7zLmYOxIYv+BouDSSw57R4Ye72r1XPTkSYE8lkfD81/iK/znJ6ccSaOx898nCEZsdWTU9q5XiOhtqfO/u1QvLvhfRe9AEv/Hlw//b9hTOwmsaybX6EhNb4aJs+fzLr8dQDEm3imnjWV4zKOc72OIhHT+wSI7+AsF2yFkn0N7/vlM7D8H8H1Mx+AE2I3sd2Rjlao8dXwqy9+xfoCpydnvIln6plTObbrsa7XUSRieo9xeiED5G+G0ryG913wJKwMJrbjrIdgZOwmtjvSZN3Vvmrum3cfGws3ApBgEnji7Cc4usvRrtdRxA1qYJbYFBcPWScF1xt6K7rpU/jkV8H1oZfA+X9wt24uOy7juMBwmd2lu9lburfe/Z5Z8Qyfbg/27nrgpAc4u9/ZntRRJGLiEyDrxOB6Q7G+4WOYOTm4fvwP4dzf1r9vjDg+43g6+B/Cdx3YFejFVNeTy5/ksx2fBdYfPOlBzuh7hid1FImY+EToOy643lCsr/8IZj0cXB9+GZw9xd26uWxYt2EkxTkP4duLt5NXVv9D+NTlU/l85+eB9YdOfojv9/m+J3UUiZiEDtBnbHB9ZwOx/s0HMPs3wfWRV8JZD7pbN5cNzxweyImwtWgrheWF9e732NLHmLdrXmB9yilTOLVPbPbklHYsMRl6B1+qNHhdX/t/MOd3wfVRV8OZv6p/3xgxInME8caZJ33L/i0UVRQdso+1lkeXPMqC7AWBbb/53m84pdcph+wrEiviH3nkkWjXIaJefPHFR2655ZZoV0O8sH8HbPvCWd61zOnZaOKgUx9nLsY9a2DG5VBT4ezTe4yTWT4hKXp1joB4E8/iPYsD014s3rOYgrICUhNTyUzJxBjDu5ve5ckVTwY+c82Qa7j9hNujVWWRlincDtv8N1+7ljqJOuPioVNvJ9Z3r3SS//iqnH36nujM2RbrsR4Xz1e7vwpMe7F4z2Lyy/NJS0wLxPrbG9/mmZXPBD7zs+N/xq2jbo1WlUVapuA72L7QWd65FIp2+WO9j/Mze7mTWb421rNOduZiTUiMXp0jID4uni93fxmY9mLxnsUUlBeExfobG97g+VXB0VjXD7uem0feHK0qi7RM/rfB6TF2LvHHegJ07O3E+q5l8ObV4E9OTb9T4YrXnJfOMSwxLpH52fPZd9Dptb1ozyIKygtIT0qnW3I3jDFMXz+dv67+a+Azvxj+C24ccWO0qizSMvmbYediZ3nnEijKDo/1nUvgzWvAn7CWAafD5a/EfqzHJzJv57zAtBeL9iyisLyQ9MRgrL++7nVe/PrFwGduHnEz1w+/Pko1Fmma3/3ud3seeeSRF+tuN/Zwc9fGmHHjxtlly5ZFuxrihe1fwT8mHLo9MQ2OPhuyV0CJf4ht535w85yYyizfmL+t/lvYg2at7indOfGoE5m1bVYgs/yZfc/k6bOfVrZpiV3bFsArFx26PSndifWdS+GAvyd/l/5w0xxI7+5tHV3ywqoXwh40a/VI6cG4o8aFxfrZWWfz5FlPKtYldm2dB6/94NDtSR2dWN+xKJhZvutAJ9ZjKLN8Y55d+SwvrjnkPp0eqT0Y23Mss7bNCmSWP6/feUw9a6oyy0vs2jIH/vnjQ7cndYRjzoHtX0JprrMt42i46TNIzfC2ji55avlTTFs77ZDtPVN7MqbnGGZ+NxOL83w+vv94/nLmXxTrErs2z4bpPzl0e4dOznV92wI4mO9s63Ys3DQbUrp6W0eXPLHsCf7xzT8O2V5frF844EIePeNRxbrEDGPMcmvtuEO2q4FZYpa18OkUWP4KVB5oeL8OneHGT2Mus3xjiiqKmLJgCvOz5wcal+ozNGMor0x4RdmmJbZZ6wyJX/Fq47Ge3Blu/CzmMss3prC8kCkLp7Awe2GjsT6s2zBevuBlxbrENmudqW5WvA5VpQ3vl9zFaVyOsczyjSkoL2DKgil8ufvLRmN9ROYIpl0wTZnlJbb5fM4UdqtmNB7rKRlO43K3tjMfaV5ZHlMWTuGr3V8FXhrVZ2T3kUwbP43khGQPaycSYT4ffHwfrH4Dqg42vF9qphPrGQO9q5vL8srymLJgCl/taTzWR/cYzUvjXwpMiycSC9TALG1XdSXs+BI2zYKNn0Dhd8HfxSXAte86b0jboOLKYr7M/pJ5u+YxP3t+2PxOPVN7MuOiGcosL21HdYXTq2nTLNj0CRRuC/4uLhF+9n7MZpY/nKKKIr7c7cT6guwFYbHeK60XMy6aoWzT0nZUVzi9mjZ/6lzXQxP5xiXCz/8FA06LXv1cVFRRxMLshYFYL64sDvyud1pvpl80XbEubUdtrNde1/fvCP4uPgmu+zf0a5vzkRZVFLEge0Eg1ksqSwK/65Peh+kTp9MtpW2M0BChqtx/XZ8FG2dCUWisd4DrPwrPr9SG7C/fz4LdC/hi5xcs2B0e61kds5g+cTpdk9tGr21pP9TALO2DtZC/BTbNhH3fONlnjz4n2rXyRI2vhjV5a/hi1xcUlhdy4/AbyeqUFe1qibjDWsjb7MR6zjoYdRUMOivatfJEta+ar/O+Zt7OeRRVFvGL4b8gq6NiXdooayFvkz/W18MJ18DA9pHEstpXzZrcNczbNY+SyhJuHHEjfdL7RLtaIu6wFnI3OrGeuwFG/xQGtI8kltW+albnruaLXV9QUlnCTSNuond672hXS8Qd1joxvmmmE/Njfg7920cSy2pfNatyVvFF9heUVpZy04ib6JXeK9rVEmkyNTCLiIiIiIiIiIiISLM01MCsWcRFREREREREREREpFnUwCwiIiIiIiIiIiIizaIGZhERERERERERERFpFjUwi4iIiIiIiIiIiEizqIFZRERERERERERERJpFDcwiIiIiIiIiIiIi0ixqYBYRERERERERERGRZlEDs4iIiIiIiIiIiIg0ixqYRURERERERERERKRZ1MAsIiIiIiIiIiIiIs2iBmYRERERERERERERaRZjrY12HSLKGJMLbI92PaIkE8iLdiWk3dDxJl7TMSde0zEnXtMxJ17TMSde0zEnXtMxJ15qD8dbf2tt97ob21wDc3tmjFlmrR0X7XpI+6DjTbymY068pmNOvKZjTrymY068pmNOvKZjTrzUno83TZEhIiIiIiIiIiIiIs2iBmYRERERERERERERaRY1MLctL0a7AtKu6HgTr+mYE6/pmBOv6ZgTr+mYE6/pmBOv6ZgTL7Xb401zMIuIiIiIiIiIiIhIs6gHs4iIiIiIiIiIiIg0ixqYRURERERERERERKRZ1MDcBhhjJhhjNhpjthhjJke7PtL2GGOyjDGfG2PWGWO+Mcbc7d/+iDEm2xizyv9vYrTrKm2HMWabMeZr/7G1zL8twxgz2xiz2f+za7TrKW2DMea4kHPZKmNMsTHmHp3nJJKMMS8bY3KMMWtDttV7XjOOZ/z3d2uMMWOiV3OJRQ0cb38xxmzwH1PvG2O6+LcPMMaUhZzr/ha9mkusauCYa/A6aox50H+O22iMuSA6tZZY1sAx91bI8bbNGLPKv13nOWmxRtpG2v39nOZgjnHGmHhgE3A+sAtYClxtrV0X1YpJm2KM6QX0stauMMZ0BJYDPwSuAA5Yax+PagWlTTLGbAPGWWvzQrY9BhRYax/1v1Draq19IFp1lLbJf23NBk4GbkDnOYkQY8wZwAHgNWvtcP+2es9r/kaYO4GJOMfi09bak6NVd4k9DRxv44G51tpqY8yfAfzH2wDgo9r9RJqjgWPuEeq5jhpjjgfeAE4CegOfAYOttTWeVlpiWn3HXJ3fTwWKrLW/13lOIqGRtpHraef3c+rBHPtOArZYa7daayuBN4FLo1wnaWOstXustSv8yyXAeqBPdGsl7dSlwKv+5VdxLuYikXYu8K21dnu0KyJti7X2C6CgzuaGzmuX4jwwW2vtIqCL/6FG5IjUd7xZaz+11lb7VxcBfT2vmLRZDZzjGnIp8Ka1tsJa+x2wBefZVuSINXbMGWMMToeoNzytlLRpjbSNtPv7OTUwx74+wM6Q9V2o4U9c5H/zOxpY7N80yT/U42VNVyARZoFPjTHLjTG3+Lf1tNbu8S/vBXpGp2rSxl1F+MOIznPipobOa7rHE7f9AvgkZH2gMWalMWaeMeb0aFVK2qT6rqM6x4nbTgf2WWs3h2zTeU4ipk7bSLu/n1MDs4gcMWNMOvAecI+1thj4K3A0cAKwB5gaxepJ2/N9a+0Y4ELgDv8QuADrzPGkeZ4koowxScAPgHf8m3SeE8/ovCZeMcY8DFQD0/2b9gD9rLWjgXuBGcaYTtGqn7Qpuo5KtFxNeIcBneckYuppGwlor/dzamCOfdlAVsh6X/82kYgyxiTinECnW2v/D8Bau89aW2Ot9QEvoWFtEkHW2mz/zxzgfZzja1/tkCL/z5zo1VDaqAuBFdbafaDznHiiofOa7vHEFcaY64GLgWv9D8H4pynI9y8vB74FBketktJmNHId1TlOXGOMSQB+DLxVu03nOYmU+tpG0P2cGpjbgKXAscaYgf5eV1cBH0a5TtLG+Oevmgast9Y+EbI9dO6gHwFr635WpDmMMWn+pAkYY9KA8TjH14fAdf7drgP+FZ0aShsW1ttF5znxQEPntQ+Bn/uzj5+Ck6RoT31fIHKkjDETgF8BP7DWHgzZ3t2f4BRjzCDgWGBrdGopbUkj19EPgauMMR2MMQNxjrklXtdP2qzzgA3W2l21G3Sek0hoqG0E3c+REO0KSMv4M0BPAmYB8cDL1tpvolwtaXtOA34GfG2MWeXf9hBwtTHmBJzhH9uAW6NTPWmDegLvO9dvEoAZ1tqZxpilwNvGmBuB7TiJO0Qiwv8y43zCz2WP6TwnkWKMeQM4C8g0xuwCfgs8Sv3ntY9xMo5vAQ4CN3heYYlpDRxvDwIdgNn+a+wia+0vgTOA3xtjqgAf8Etr7ZEmaxMBGjzmzqrvOmqt/cYY8zawDme6ljustTXRqLfErvqOOWvtNA7NpwE6z0lkNNQ20u7v54x/VJSIiIiIiIiIiIiISJNoigwRERERERERERERaRY1MIuIiIiIiIiIiIhIs6iBWURERERERERERESaRQ3MIiIiIiIiIiIiItIsamAWERERERERERERkWZRA7OIiIiISIQZY14xxtho10NERERExG0J0a6AiIiIiEhr18TG4oGuVUREREREpJUx1qpjhYiIiIhIY4wxP62z6XTgFuBFYH6d370PVALx1tpyD6onIiIiIhI16sEsIiIiInIY1tp/hq4bYxJwGpi/qvu7EFWuV0xEREREJMo0B7OIiIiISITVNwdz7TZjTDf/cp4xpsQY84Ex5ij/PrcYY9YbY8qNMRuMMZc28P1XGmMW+D9/0Biz2BjzEy/+NhERERGRUGpgFhERERHx1kygM/Ab4CXgYuB9Y8z9wP3Aq8BkIAl41xgTNqezMeZ/gDeBEuDX/n0PAu8YY+7w6o8QEREREQFNkSEiIiIi4rUl1tpAQ7AxBuC/gD7AcGttsX/7XGA1zlQcD/q3jQEeBv5krX0o5DufMcZ8APzJGPOatbbEk79ERERERNo99WAWEREREfHWU3XWa5MEvlbbuAxgrV0DFAPHhux7LWCBV40xmaH/gA+BjsD33Ku6iIiIiEg49WAWEREREfHW1jrrhf6f39WzbyHQLWR9KGCADY18f8/mV01EREREpGnUwCwiIiIi4iFrbU0Dv2pou6mzbIELG9n/m2ZWTURERESkydTALCIiIiISOzYDE4Ad1tr10a6MiIiIiIjmYBYRERERiR2v+3/+f8aY+Lq/NMZoegwRERER8ZR6MIuIiIiIxAhr7VJjzCPAI8AqY8w7wG6gFzAWmAgkRa2CIiIiItLuqIFZRERERCSGWGt/Z4xZBtwF3AOkATnAWv82ERERERHPGGtttOsgIiIiIiIiIiIiIjFIczCLiIiIiIiIiIiISLOogVlEREREREREREREmkUNzCIiIiIiIiIiIiLSLGpgFhEREREREREREZFmUQOziIiIiIiIiIiIiDSLGphFREREREREREREpFnUwCwiIiIiIiIiIiIizaIGZhERERERERERERFpFjUwi4iIiIiIiIiIiEiz/D9gfvpHFcovCgAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "n_tr = 200\n", "n_trial = 5\n", "face = np.zeros(n_tr)\n", "face[np.arange(10, n_tr, int(n_tr/n_trial))] = 1\n", "obj = np.zeros(n_tr)\n", "obj[np.arange(20, n_tr, int(n_tr/n_trial))] = 1\n", "intercept = np.ones(n_tr)\n", "X = np.vstack([intercept, np.convolve(face, hrf, mode='same'), np.convolve(obj, hrf, mode='same')]).T\n", "\n", "plot_timeseries(X)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can write our model out so that it is very clear what we are doing.\n", "\n", "$$Voxel = \\beta_0 \\cdot Intercept + \\beta_1 \\cdot Faces + \\beta_2 \\cdot Objects + \\epsilon$$\n", "\n", "We can also make a plot and rotate the timeseries, to better reflect the equation.\n", "\n", "It should be clear how each of these components relate to the regression equation." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "ExecuteTime": { "end_time": "2020-04-21T03:56:31.873399Z", "start_time": "2020-04-21T03:56:31.432146Z" }, "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "f, a = plt.subplots(ncols=4, figsize=(6, 10), sharey=True)\n", "a[0].plot(np.expand_dims(Y, axis=1), range(len(Y)))\n", "a[1].plot(X[:,0], range(len(Y)))\n", "a[2].plot(X[:,1], range(len(Y)))\n", "a[3].plot(X[:,2], range(len(Y)))\n", "a[0].set_ylabel('Time', fontsize=18)\n", "a[0].set_title('Y', fontsize=20)\n", "a[1].set_title('Intercept', fontsize=20)\n", "a[2].set_title('Faces', fontsize=20)\n", "a[3].set_title('Objects', fontsize=20)\n", "plt.gca().invert_yaxis()\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Estimate GLM\n", "\n", "Now that have created our simulated voxel timeseries $Y$ and our design matrix $X$, we need to fit our model to the data by estimating the three $\\beta$ parameters. \n", "\n", "There are several ways to estimate the parameters for our general linear model. The Ordinary Least Squares (OLS) estimator finds the $\\hat\\beta$ hyperplane that minimizes the error between the observed $Y$ and predicted $\\hat Y$. \n", "\n", "This can be formulated using linear algebra as: \n", "\n", "$$\\hat{\\beta} = (X^T X)^{-1}X^TY$$\n", "\n", "There is also maximum likelihood estimator, which should produce an almost identical result to the ordinary least squares estimator when the error terms are normally distributed.\n", "\n", "$$L(\\beta, \\sigma^2 | Y, X) = \\displaystyle \\prod_{i=1}^{n}\\frac{1}{\\sqrt(2\\pi\\sigma^2)} \\cdot e^{-\\frac{(Y_i - \\beta X_i)^2}{2\\sigma^2}}$$\n", "\n", "where \n", "\n", "$$\\mathcal{N}(0,\\sigma^{2})$$\n", "\n", "For this class, we will primarily be focusing on the Ordinary Least Squares Estimator. In fact, just to demonstrate that the math is actually relatively straightforward, we will write our own function for the estimator using the linear algebra formulation. In practice, we typically will use a premade function, which is usually slightly more computationally efficient and will also calculate standard errors, etc.\n", "\n", "For a more in depth overview of GLM estimation, watch this [video](https://www.youtube.com/watch?v=Ab-5AbJ8gAs) by Tor Wager and Martin Lindquist." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "ExecuteTime": { "end_time": "2020-04-23T03:50:15.875837Z", "start_time": "2020-04-23T03:50:15.739331Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "beta Faces - beta Objects: 0.95\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def ols_estimator(X, Y):\n", " return np.dot(np.dot(np.linalg.pinv(np.dot(X.T, X)), X.T), Y)\n", "\n", "beta = ols_estimator(X, Y)\n", "\n", "plt.bar(['Intercept','Faces', 'Objects'], beta)\n", "plt.xlabel('Regressor', fontsize=18)\n", "plt.ylabel('Beta Value', fontsize=18)\n", "\n", "print(f'beta Faces - beta Objects: {beta[1]-beta[2]:.2}')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see that our model is working pretty well. We did not add a mean to the simulated timeseries, so our estimator correctly figures out that the intercept parameter should be zero. The model also correctly figured out that the scaling parameter for the faces regressor was 2, and 1 for the objects regressor, with the difference between them equal to approximately 1.\n", "\n", "Another way to evaluate how well our model is working is to plot our predicted $\\hat Y$ on top of our simulated $Y$.\n", "\n", "We can quantify the degree to which our model is accurately predicting the observed data by calculating the residual.\n", "\n", "$$residual = Y - \\hat Y$$" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "ExecuteTime": { "end_time": "2020-04-23T03:50:17.933136Z", "start_time": "2020-04-23T03:50:17.418357Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Residual')" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "predicted_y = np.dot(X, beta)\n", "\n", "predicted_ts = np.vstack([Y, predicted_y]).T\n", "\n", "plot_timeseries(predicted_ts, labels=['Simulated Voxel', 'Predicted Voxel'])\n", "\n", "residual = Y - predicted_y\n", "\n", "plot_timeseries(residual)\n", "plt.title('Residual', fontsize=20)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Standard Errors\n", "\n", "As you can see, we are doing a reasonable job recovering the original signals.\n", "\n", "You may recall that we specified 3 parameters in our simulation \n", " - a $\\beta$ weight for faces\n", " - a $\\beta$ weight for objects\n", " - an $\\epsilon$ noise parameter.\n", "\n", "The *standard error of the estimate* refers to the standard deviation of the residual.\n", "\n", "Formally, this can be described as:\n", "\n", "$$\\hat \\sigma = \\sqrt{\\frac{\\displaystyle \\sum_i^n(\\hat Y_i - Y_i)^2}{n-k}}$$\n", "\n", "where $n$ is the number of observations and $k$ is the total number of regressors. \n", "\n", "This number is essentially an estimate of the overall amount of error in the model or $\\epsilon$. This error is assumed to be independent and normally distributed. The smaller the residual variance $\\hat\\sigma$ the better the fit of the model.\n", "\n", "As you can see, the parameter is close, but slightly higher than the one we simulated. This might be because we have relatively little data in our simulation." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "ExecuteTime": { "end_time": "2020-04-23T03:50:21.487234Z", "start_time": "2020-04-23T03:50:21.305444Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Standard Error of the Estimate: 0.2\n" ] }, { "data": { "text/plain": [ "Text(0.5, 0, 'Prediction Error')" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "standard_error_of_estimate = np.std(residual)\n", "\n", "print(f\"Standard Error of the Estimate: {standard_error_of_estimate:.2}\")\n", "\n", "plt.hist(residual)\n", "plt.title('Distribution of Residual Error', fontsize=18)\n", "plt.ylabel('Frequency', fontsize=18)\n", "plt.xlabel('Prediction Error', fontsize=18)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Explained Variance\n", "\n", "Sometimes we want a single metric to quantify overall how well our model was able to explain variance in the data. There are many metrics that can provide a quantitative measure of *goodness of fit*.\n", "\n", "Here we will calculate $R^2$ using the following formula:\n", "\n", "$$R^2 = 1 - \\frac{\\displaystyle \\sum_i^n(\\hat y_i - y_i)^2}{\\displaystyle \\sum_i^n(y_i - \\bar y)^2}$$\n", "\n", "where $y_i$ is the measured value of the voxel at timepoint $i$, $\\hat y_i$ is the predicted value for time point $i$, and $\\bar y$ is the mean of the measured voxel timeseries.\n", "\n", "$R^2$ will lie on the interval between $[0,1]$ and can be interpreted as percentage of the total variance in $Y$ explained by the model, $X$, where 1 is 100% and 0 is none." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "ExecuteTime": { "end_time": "2020-04-23T03:50:25.345132Z", "start_time": "2020-04-23T03:50:25.340669Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "R^2: 0.6\n" ] } ], "source": [ "def r_square(Y, predicted_y):\n", " SS_total = np.sum((Y - np.mean(Y))**2)\n", " SS_residual = np.sum((Y - predicted_y)**2)\n", " return 1-(SS_residual/SS_total)\n", "\n", "print(f\"R^2: {r_square(Y, predicted_y):.2}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Standard Error of $\\beta$ estimates" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also estimate the uncertainty of regression coefficients. The uncertainty of the beta parameters is quantified as a standard error around each specific estimate. \n", "\n", "$$\\sigma = \\sqrt{diag((X^TX)^{-1})} \\cdot \\hat \\sigma$$\n", "\n", "This is essentially a confidence interval around the $\\beta_j$ estimate. One standard error, $1*\\hat \\sigma$ is approximately equivalent to a 68% confidence interval, while $2*\\hat\\sigma$ is approximately a 95% confidence interval.\n", "\n" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "ExecuteTime": { "end_time": "2020-04-23T03:50:35.482568Z", "start_time": "2020-04-23T03:50:35.358698Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Beta Value')" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "std_error = np.sqrt(np.diag((np.linalg.pinv(np.dot(X.T, X))))) * standard_error_of_estimate\n", "\n", "plt.bar(['Intercept','Faces', 'Objects'], beta, yerr = standard_error_of_estimate)\n", "plt.xlabel('Regressor', fontsize=18)\n", "plt.ylabel('Beta Value', fontsize=18)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Statistical Significance\n", "\n", "We could also perform a hypothesis test to evaluate if any of the regressors are statistically different from zero.\n", "\n", "This exercise is simply meant to provide parallels to common statistical jargon. In practice, this is actually rarely done in neuroimaging analysis as we are typically more interested in making statistical inferences across the population rather than within a single participant.\n", "\n", "The formula for calculating a t-statistic is very simple:\n", "\n", "$$t = \\frac{\\hat \\beta_j}{\\hat \\sigma_j}$$\n", "\n", "where $\\beta_j$ refers to the estimated parameter for a regressor $j$, and $\\sigma_j$ refers to the standard error of regressor $j$.\n", "\n", "$t$ values that are more than 2 standard errors away from zero are called *statistically significant*, which basically just means we are more confident that the estimate is stable and not just an artifact of small sample size. In general, we don't recommend reading too much into significance for individual $\\beta$ estimates in single subject fMRI analysis." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "ExecuteTime": { "end_time": "2020-04-23T03:50:37.238241Z", "start_time": "2020-04-23T03:50:37.234055Z" } }, "outputs": [ { "data": { "text/plain": [ "array([-0.65716867, 15.83929013, 8.23580115])" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "t = beta/std_error\n", "t" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Just like in intro statistics, we could find the p-value that corresponds to a particular t-statistic using the t-distribution. We will load the t distribution from `scipy.stats` and calculate the corresponding p-values using the survival function or $1- cdf$, which requires specifying the degrees of freedom (df), which is $n-1$. We multiply these values by 2 to calculated a two-tailed test.\n", "\n", "You can see that the intercept $\\beta$ is not significant, but the face and object regressors are well below `p < 0.05`. " ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "ExecuteTime": { "end_time": "2020-04-23T03:50:43.628552Z", "start_time": "2020-04-23T03:50:43.501937Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[5.11831798e-01 4.26134329e-37 2.33906074e-14]\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from scipy import stats\n", "\n", "p = stats.t.sf(np.abs(t), n_tr-1)*2\n", "print(p)\n", "\n", "plt.bar(['Intercept', 'Face', 'Object'], p)\n", "plt.ylabel('p-values', fontsize=18)\n", "plt.xlabel('Regressor', fontsize=18)\n", "plt.hlines(0.05, -1, 3, linestyles='dashed', color='red')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Contrasts\n", "\n", "Contrasts are a very important concept in fMRI data analysis as they provide the statistical inference underlying the subtraction method of making inferences. \n", "\n", "Let's watch a short video by Tor Wager on contrasts. We will also spend much more time on contrasts in the group analysis tutorial. We also recommend watching Jeannette Mumford's [overview](https://www.youtube.com/watch?v=yLgPpmXVVbs) of contrasts for a more statistical perspective." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2020-04-23T03:49:27.372395Z", "start_time": "2020-04-23T03:49:27.202154Z" } }, "outputs": [ { "data": { "image/jpeg": 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\n", "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "YouTubeVideo('7MibM1ATai4')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Contrasts describe a linear combination of variables in a regression model whose coefficients add up to zero. This allows us to flexibly compare different experimental conditions.\n", "\n", "For example, suppose we just wanted to know the magnitude of an effect for a single condition, such as the brain response to faces. We would create a contrast code that isolates the effect size (i.e., $\\beta$ estimate for the face regressor)\n", "\n", "If our GLM, was:\n", "\n", "$$Y = \\beta_0 \\cdot Intercept + \\beta_1 \\cdot Faces + \\beta_2 \\cdot Objects$$\n", "\n", "then, the corresponding contrast code or vector for faces would be:\n", "\n", "[0, 1, 0]\n", "\n", "The contrast code for the object condition would be:\n", "\n", "[0, 0, 1]\n", "\n", "and importantly the contrast *between* the face and object condition would be:\n", "\n", "[0, 1, -1]\n", "\n", "More simply, we are calculating the magnitude of the effect of the difference between viewing faces and objects in a single voxel.\n", "\n", "To make this a little bit more clear, we will show a graphical representation of the design matrix to make it obvious what we are contrasting." ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "ExecuteTime": { "end_time": "2020-04-23T03:50:52.672566Z", "start_time": "2020-04-23T03:50:52.427822Z" } }, "outputs": [ { "data": { "text/plain": [ "{('[0, 0, 1]', 1.0721521304389894),\n", " ('[0, 1, -1]', 0.8735019759362619),\n", " ('[0, 1, 0]', 1.9456541063752513)}" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sns.heatmap(X)\n", "\n", "c1 = [0, 1, 0]\n", "c2 = [0, 0, 1]\n", "c3 = [0, 1, -1]\n", "\n", "{(str(c),np.dot(beta, c)) for c in [c1, c2, c3]}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Efficiency\n", "\n", "We can estimate the efficiency, or the quality of an estimator for a specific experimental design or a hypothesis testing procedure. Efficiency is related to power, or the ability to detect an effect should one exist. However, unlike power, we can estimate efficiency from our design matrix and do not actually need to know the standard error for the model (unlike with power calculations). Specifically, efficiency is defined as the inverse of the sum of the estimator variances. For a more detailed explanation and general experimental design recommendations see this [overview](http://imaging.mrc-cbu.cam.ac.uk/imaging/DesignEfficiency) by Rik Henson, or this [blog post](https://theclevermachine.wordpress.com/tag/fmri-design-efficiency/) on efficiency in experimental designs.\n", "\n", "$$e(c\\hat\\beta) = \\frac{1}{c(X^TX)^{-1}c^T}$$\n", "\n", "Reducing collinearity or covariance between regressors can increase design efficiency" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "ExecuteTime": { "end_time": "2020-04-23T03:50:54.250014Z", "start_time": "2020-04-23T03:50:54.242827Z" } }, "outputs": [ { "data": { "text/plain": [ "[2.44032677542221, 2.5429401030547045, 1.3578767952519295]" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "def contrast_efficiency(X, contrast):\n", " c = np.array(contrast)\n", " return 1/(np.dot(np.dot(c, np.linalg.pinv(np.dot(X.T, X))), c.T))\n", "\n", "c1 = [0, 1, 0]\n", "c2 = [0, 0, 1]\n", "c3 = [0, 1, -1]\n", "\n", "[contrast_efficiency(X, x) for x in [c1, c2, c3]]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Varying the Inter-Trial Interval with Jittering\n", "\n" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "ExecuteTime": { "end_time": "2020-04-23T03:51:08.031526Z", "start_time": "2020-04-23T03:51:07.728079Z" } }, "outputs": [ { "data": { "text/plain": [ "[2.5597167760964403, 2.066820546582558, 1.1233445684652128]" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Set Simulation Parameters\n", "n_tr = 200\n", "n_trial = 5\n", "face_intensity = 2\n", "object_intensity = 1\n", "sigma = 0.15\n", "\n", "# Build Simulation\n", "face_trials = np.random.randint(10, 180, n_trial)\n", "obj_trials = np.random.randint(10, 180, n_trial)\n", "face = np.zeros(n_tr)\n", "face[face_trials] = 1\n", "obj = np.zeros(n_tr)\n", "obj[obj_trials] = 1\n", "voxel_conv = np.vstack([np.convolve(face*face_intensity, hrf, mode='same'), np.convolve(obj*object_intensity, hrf, mode='same')]).T\n", "epsilon = sigma*np.random.randn(n_tr, 2)\n", "voxel_conv_noise = voxel_conv + epsilon\n", "\n", "# Build Model\n", "Y = voxel_conv_noise.sum(axis=1)\n", "X = np.vstack([np.ones(len(face)), np.convolve(face, hrf, mode='same'), np.convolve(obj, hrf, mode='same')]).T\n", "\n", "# Estimate Model\n", "beta = ols_estimator(X, Y)\n", "predicted_y = np.dot(X, beta)\n", "predicted_sigma = np.std(residual)\n", "predicted_ts = np.vstack([Y, predicted_y]).T\n", "plot_timeseries(predicted_ts, labels=['Simulated Voxel', 'Predicted Voxel'])\n", "\n", "# Estimate Contrast Efficiency\n", "[contrast_efficiency(X, x) for x in [c1, c2, c3]]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Autocorrelation\n", "\n", "The BOLD signal has some intrinsic autocorrelation that varies with the length of the TR. Different software packages have provided varying solutions to this problem. For example, SPM implements an AR(1) model, which means that it trys to account for the fact that the signal is consistently correlated (i.e., autoregressive) with one lag. In practice, these will rarely change the beta estimates, but rather will adjust our standard errors around the estimates. As we will discuss soon, most group level analyses ignore these subject level, or first-level errors anyway. It is debatable if this is actually a good practice, but it reduces the importance of accounting for autocorrelation when looking at group level statistics in standard experimental design.\n", "\n", "Another important thing to note is that there is some evidence that the AR(1) model can actually increase false positives, especiall in shorter TRs. See this [paper](https://www.sciencedirect.com/science/article/pii/S1053811912003825) by Anders Ekland and colleagues for more details. Also, this is a helpful [blog post](https://mandymejia.com/2016/11/06/how-to-efficiently-prewhiten-fmri-timeseries-the-right-way/) discussing prewhitening. \n", "\n", "For the scope of this course we will largely be ignoring this issue, but I will plan to add some examples and simulations in the future. For now, I encourage you to watch this video on [AR models](https://www.youtube.com/watch?v=Mb9LDzvhecY&list=PLfXA4opIOVrGHncHRxI3Qa5GeCSudwmxM&index=24) if you are interested in learning more about this topic." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercises\n", "\n", "For our homework exercises, let's use the simulation to answer questions we might have about experimental design." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercise 1. What happens when we vary the signal amplitude?\n", "\n", "Some signals will be very strong and others weaker. How does the model fit change when the signal amplitudes are stronger and weaker?\n", "\n", "In this exercise, make a plot showing how the $r^2$ changes over 3 different levels of signal intensity." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercise 2. What happens when we vary the noise?\n", "\n", "How does the amount of noise in the data impact our model fits? \n", "\n", "In this exercise, make a plot showing the $r^2$ for 3 different levels of simulated noise." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercise 3. How many trials do we need?\n", "\n", "A common question in experimental design is determining the optimal number of trials.\n", "\n", "In this exercise, try evaluating how 3 different numbers of trials might impact the contrast efficiency." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercise 4. What is the impact of the stimulus duration?\n", "\n", "What if one condition simply results in processes that systematically take longer than the other condition?\n", "\n", "In this exercise, let's try to answer this question by creating a simulation where the signal intensity between the two condition is identical, but one simply has a longer duration (i.e., the duration has more TRs than the other condition). \n", "\n", "Make a plot showing what happens to the $\\beta$ estimates." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "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": "3.7.9" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": true } }, "nbformat": 4, "nbformat_minor": 2 }