From 035bb75d90444f14ef21876bf3fdf9e53417f87b Mon Sep 17 00:00:00 2001 From: Anna Poetsch <34540437+arpoe@users.noreply.github.com> Date: Mon, 11 Jul 2022 22:42:03 +0200 Subject: [PATCH] added summary lecture --- .DS_Store | Bin 8196 -> 10244 bytes 06_biostatistics_introduction/stats2.ipynb | 762 ++- 06_biostatistics_introduction/stats3.ipynb | 6 +- 09_hypothesis_testing/stats4.ipynb | 5311 +------------------- 12_summary/Stats_summary.pdf | Bin 0 -> 2305298 bytes 5 files changed, 740 insertions(+), 5339 deletions(-) create mode 100644 12_summary/Stats_summary.pdf diff --git a/.DS_Store b/.DS_Store index ffa5f886675d8cff02164c7c77775110d8c12a49..9ee40e9f8edebd0a73505b587ac30e6de1cc2b13 100644 GIT binary patch delta 609 zcmZp1XbF&DU|?W$DortDU{C-uIe-{M3-C-V6q~50$f&k4U^hRb+GZXB7pBQmg={zX z3b`=KaWNP&7%{{%6f=}EdQht68r_ z9ffL3BOu$v*sQjelS5Ql-#REhJ0~|UzYFL%AYf#K&iV1$^*Fgc!Q>SQ_5wNO2; F83D)G8kPV6 diff --git a/06_biostatistics_introduction/stats2.ipynb b/06_biostatistics_introduction/stats2.ipynb index a3591e4..f2de276 100644 --- a/06_biostatistics_introduction/stats2.ipynb +++ b/06_biostatistics_introduction/stats2.ipynb @@ -10,7 +10,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 1, "id": "14d033e3", "metadata": {}, "outputs": [], @@ -45,10 +45,59 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 2, "id": "a8ab9333", "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[ 8 7 9 10 8 9 7 4 8 12 10 15 9 9 11 7 8 11 10 12 10 8 10 6\n", + " 15 15 5 12 12 13 7 11 16 8 7 5 8 10 9 13 10 11 7 7 17 8 9 12\n", + " 11 12 7 15 14 10 8 11 6 11 7 9 14 5 6 8 11 9 5 12 2 10 13 12\n", + " 8 13 12 11 10 6 6 10 8 13 9 12 11 11 12 6 9 7 11 11 6 8 11 19\n", + " 14 12 10 3 7 10 12 11 8 12 12 10 8 11 9 8 6 6 10 9 7 6 10 7\n", + " 6 8 12 12 5 4 10 11 12 13 15 14 6 11 6 9 11 3 8 8 9 8 6 6\n", + " 10 8 15 8 12 11 9 7 6 12 18 12 12 5 12 11 9 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0.08\n", + " 0.1 0.07 0.07 0.13 0.09 0.16 0.08 0.06 0.18 0.07 0.11 0.1 0.12 0.14\n", + " 0.12 0.05 0.18 0.04 0.05 0.06 0.13 0.1 0.08 0.07 0.12 0.09 0.18 0.13\n", + " 0.05 0.11 0.1 0.05 0.11 0.11]\n" + ] + } + ], "source": [ "props = s/n\n", "print(props)" @@ -86,10 +214,23 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 4, "id": "e5d59aa7", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "plt.hist(props, bins = 50)\n", "plt.xlabel(\"proportion\")\n", @@ -107,10 +248,40 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "id": "c3e2eada", "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(0.04120108046379837, 0.15879891953620165)\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "CI= sm.stats.proportion_confint(n*p, n, alpha=0.05)\n", "print(CI)\n", @@ -141,10 +312,19 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 6, "id": "c9a9fc18", "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "the minimum is: 0.01\n", + "the maximum is: 0.24\n" + ] + } + ], "source": [ "print(\"the minimum is:\", min(props))\n", "print(\"the maximum is:\", max(props))" @@ -160,10 +340,18 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 7, "id": "296731b2", "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.09992\n" + ] + } + ], "source": [ "print(statistics.mean(props))" ] @@ -178,10 +366,31 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 8, "id": "625d0792", "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(0.0, 0.05880530708179099)\n", + "0.01882\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "n = 50 # number of trials\n", "p = 0.02 # probability of each trial\n", @@ -204,10 +413,31 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 9, "id": "8c5b0684", "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(0.007728684431927856, 0.03227131556807215)\n", + "0.02004\n" + ] + }, + { + "data": { + "image/png": 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\n", 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S1DEUJEkdQ0GS1DEUJEkdQ0GS1Jlzw1wkORL4NLAzcFZVnT7ikiQtYDsyPMdCHJpjTp0pJNkZ+B/AG4CDgOOSHDTaqiRp8ZhrZwqHAuuragNAkvOBo4FbR1qVJA3BXDxLSVUNZcfbI8kxwJFV9Sdt/h3A71fV+/rWWQmsbLMHArdv5+H2BH6xA+XOtvlU73yqFeZXvfOpVphf9c6nWmHH6v3dqlo60YK5dqYwrapaDaze0f0kWVtVK2agpFkxn+qdT7XC/Kp3PtUK86ve+VQrDK/eOXVNAdgM7Ns3v09rkyTNgrkWCj8ADkiyf5InAccCF4+4JklaNOZU91FVPZLkfcC36N2Sek5V3TKkw+1wF9Qsm0/1zqdaYX7VO59qhflV73yqFYZU75y60CxJGq251n0kSRohQ0GS1FmUoZDkyCS3J1mfZNWo65lKknOSbEly86hrmU6SfZNcneTWJLckOXnUNU0myZOTXJfkR63Wj466pkEk2TnJD5NcMupappJkY5KbktyQZO2o65lOkj2SfDXJj5PcluTlo65pIkkObP+m458Hkpwyo8dYbNcU2lAa/wi8FthE746n46pqTj41neRVwEPAF6rqhaOuZypJlgHLqur6JLsD64C3zMV/2yQBdquqh5LsAnwXOLmqvj/i0qaU5D8BK4CnV9WbRl3PZJJsBFZU1bx4GCzJGuA7VXVWu/PxqVV134jLmlL7XbaZ3gO+d8zUfhfjmUI3lEZV/RoYH0pjTqqqbwP3jLqOQVTVXVV1fZt+ELgNWD7aqiZWPQ+12V3aZ07/hZRkH+Ao4KxR17KQJHkG8CrgbICq+vVcD4TmCOCfZjIQYHGGwnLgzr75TczRX1zzWZIx4BDg2hGXMqnWFXMDsAW4oqrmbK3Nfwf+M/DYiOsYRAGXJ1nXhqaZy/YHtgKfb11zZyXZbdRFDeBY4MszvdPFGAoasiRPA74GnFJVD4y6nslU1aNVdTC9J+cPTTJnu+eSvAnYUlXrRl3LgF5ZVS+hN+LxSa0bdK5aArwEOLOqDgF+Bcz1a41PAt4M/N1M73sxhoJDaQxR65//GnBeVX191PUMonUVXA0cOeJSpnIY8ObWV38+8Jok/2u0JU2uqja37y3AhfS6beeqTcCmvjPFr9ILibnsDcD1VXX3TO94MYaCQ2kMSbt4ezZwW1V9ctT1TCXJ0iR7tOmn0Lvx4McjLWoKVXVqVe1TVWP0/pu9qqr+eMRlTSjJbu1GA1o3zOuAOXv3XFX9HLgzyYGt6Qjm/nD9xzGEriOYY8NczIZZHkpjhyX5MnA4sGeSTcCHq+rs0VY1qcOAdwA3tb56gA9W1WWjK2lSy4A17Q6OnYALqmpO3+Y5j+wFXNj7G4ElwJeq6pujLWlafwac1/5Q3AC8a8T1TKoF7WuB9wxl/4vtllRJ0uQWY/eRJGkShoIkqWMoSJI6hoIkqWMoSJI6hoIEJDklyVNHXcdUkqxIcsYObP/OJHvPZE1aeLwlVWJ2R/VMsqSqHhn2cSY47jXAB6pqzg9lrdHxTEHzQpLjk9zY3n/wxdY2luSq1n5lkv1a+7lJjunb9qH2fXiSa/rGzT8vPX8O7A1c3d4HsXPbx83tnQD/cYJ6zk3y2SRrk/xjG5tofJC9/5bkB62u9/Qd+ztJLmaCp2WTPNS2uyXJ3yc5tNW6Icmb+/ZxSZv+SHrv2hhf58/7/k1u7tvvB9q6x9Abcvu8Ng7/U5K8NMk/tEHrvtWGPtcit+ieaNb8k+QFwIeAV1TVL5I8qy36DLCmqtYkeTdwBvCWaXZ3CPAC4GfA94DDquqM9p6CV7f9vxRYPv7+ivHhMCYwRm9Mn+fSC5TfA44H7q+qf5tkV+B7SS5v678EeGFV/XSCfe1Gb+iKv0hyIfBxek+tHgSsYeKhWJ4PvBrYHbg9yZmT/dBV9dX2JP8HqmptG6PqM8DRVbU1yR8CpwHvnmwfWhwMBc0HrwH+brxrp6rG3y/xcuCtbfqLwN8MsK/rqmoTQBuKY4zeC3b6bQCek+QzwKXA5Uzsgqp6DPhJkg30fkm/DnhR35nKM4ADgF+3Y08UCLTl40NB3AQ8XFW/SXJTq3Eil1bVw8DDSbbQG15iUAcCLwSuaMNR7Azc9QS21wJlKGgheoTWNZpkJ+BJfcse7pt+lAn+H6iqe5O8GHg98F7g7Uz8F/S2F+QKCPBnVfWt/gVJDqc3JPNkflP//wLfY+N1VtVjSSb7/3Sin6X72ZsnT7JtgFuqak6+dlKj4zUFzQdXAW9L8myAvu6j/0NvxFCAPwK+06Y3Ai9t02+m91a16TxIrxuGJHsCO1XV1+h1W002jPLbkuyU5LnAc4Db6Q20+Kete4Ykz8vsvrDlbuB3kjy7dV/1v7Kz+xlbrUvT3kWcZJfWTadFzjMFzXlVdUuS04B/SPIo8EPgnfRGtvx8kr+g9+as8ZEtPwdclORH9LpkpvoLfdxq4JtJfgac0vY7/kfTqZNs88/AdcDTgfdW1b8mOYted8/16fXLbGX66xwzpnU5/VWrazO/PRz4ucBnk/xfel1vxwBnpPc6yiX03uw2Z0cM1uzwllRpOyQ5F7ikqr466lqkmWT3kSSp45mCJKnjmYIkqWMoSJI6hoIkqWMoSJI6hoIkqfP/AIxvGtEdg45GAAAAAElFTkSuQmCC\n", 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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "freq =1.6\n", "s = np.random.poisson(freq, 1000)\n", @@ -307,10 +583,40 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 12, "id": "4c4f553f", "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[0.9 2.4]\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "CI = np.true_divide(st.poisson.interval(0.95,freq*10),10)\n", "print(CI)\n", @@ -353,10 +659,44 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 13, "id": "21876e6a", "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " Annotator name (pseudonym is ok) BBBC001 manual count \\\n", + "0 Robert 370 \n", + "1 Lenka B. 365 \n", + "2 Jozef F. 390 \n", + "3 Lukas M.. 370 \n", + "4 Luisa W. 383 \n", + ".. ... ... \n", + "83 Lucas V. 356 \n", + "84 Lara L. 368 \n", + "85 Laura M. 367 \n", + "86 Julia 367 \n", + "87 Marie 367 \n", + "\n", + " BBBC001 CLIJ Voronoi Otsu Labeling BBBC001 StarDist BBBC001 Find Maxima \n", + "0 367.0 379.0 NaN \n", + "1 360.0 373.0 375.0 \n", + "2 367.0 379.0 426.0 \n", + "3 367.0 NaN NaN \n", + "4 NaN NaN NaN \n", + ".. ... ... ... \n", + "83 367.0 NaN NaN \n", + "84 367.0 NaN NaN \n", + "85 367.0 NaN NaN \n", + "86 NaN NaN NaN \n", + "87 NaN NaN NaN \n", + "\n", + "[88 rows x 5 columns]\n" + ] + } + ], "source": [ "dat = pd.read_csv('https://raw.githubusercontent.com/BiAPoL/Bio-image_Analysis_with_Python/main/data/BBBC001.csv', header=1, sep=';')\n", "\n", @@ -381,10 +721,54 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 14, "id": "79a50c6e", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "(array([ 1., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n", + " 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n", + " 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n", + " 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n", + " 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n", + " 0., 0., 0., 0., 0., 0., 1., 0., 1., 0., 3., 0., 3.,\n", + " 8., 15., 6., 7., 12., 13., 9., 6., 1., 0., 0., 0., 0.,\n", + " 0., 0., 0., 0., 1., 0., 0., 0., 1.]),\n", + " array([ 52. , 56.01, 60.02, 64.03, 68.04, 72.05, 76.06, 80.07,\n", + " 84.08, 88.09, 92.1 , 96.11, 100.12, 104.13, 108.14, 112.15,\n", + " 116.16, 120.17, 124.18, 128.19, 132.2 , 136.21, 140.22, 144.23,\n", + " 148.24, 152.25, 156.26, 160.27, 164.28, 168.29, 172.3 , 176.31,\n", + " 180.32, 184.33, 188.34, 192.35, 196.36, 200.37, 204.38, 208.39,\n", + " 212.4 , 216.41, 220.42, 224.43, 228.44, 232.45, 236.46, 240.47,\n", + " 244.48, 248.49, 252.5 , 256.51, 260.52, 264.53, 268.54, 272.55,\n", + " 276.56, 280.57, 284.58, 288.59, 292.6 , 296.61, 300.62, 304.63,\n", + " 308.64, 312.65, 316.66, 320.67, 324.68, 328.69, 332.7 , 336.71,\n", + " 340.72, 344.73, 348.74, 352.75, 356.76, 360.77, 364.78, 368.79,\n", + " 372.8 , 376.81, 380.82, 384.83, 388.84, 392.85, 396.86, 400.87,\n", + " 404.88, 408.89, 412.9 , 416.91, 420.92, 424.93, 428.94, 432.95,\n", + " 436.96, 440.97, 444.98, 448.99, 453. ]),\n", + " )" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "man_count = dat[\"BBBC001 manual count\"].values\n", "auto_count = dat.iloc[:,[2,3,4]].values\n", @@ -394,30 +778,125 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 15, "id": "f36d59ee", "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[370 365 390 370 383 382 383 381 371 380 396 371 377 387 394 392 368 370\n", + " 391 389 385 370 368 391 388 370 365 389 390 393 394 355 387 388 398 379\n", + " 393 364 376 383 370 376 385 382 453 382 433 373 386 362 386 387 381 370\n", + " 377 387 371 382 381 388 372 392 384 376 395 340 374 371 377 355 387 384\n", + " 363 52 373 385 372 372 380 389 348 369 380 356 368 367 367 367]\n" + ] + } + ], "source": [ "print(man_count)" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 16, "id": "d06a680b", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "(array([[ 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n", + " 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n", + " 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n", + " 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n", + " 0., 0., 0., 0., 0., 0., 0., 1., 0., 0., 0., 21., 0.,\n", + " 3., 4., 0., 1., 1., 1., 0., 0., 0., 0., 0., 0., 0.,\n", + " 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 1., 0.,\n", + " 0., 0., 0., 0., 0., 0., 0., 0., 0.],\n", + " [ 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n", + " 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n", + " 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n", + " 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n", + " 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n", + " 0., 0., 2., 0., 1., 9., 1., 1., 0., 0., 2., 0., 0.,\n", + " 1., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n", + " 0., 0., 0., 0., 0., 0., 0., 0., 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356.34, 357.96, 359.58, 361.2 , 362.82, 364.44, 366.06,\n", + " 367.68, 369.3 , 370.92, 372.54, 374.16, 375.78, 377.4 , 379.02,\n", + " 380.64, 382.26, 383.88, 385.5 , 387.12, 388.74, 390.36, 391.98,\n", + " 393.6 , 395.22, 396.84, 398.46, 400.08, 401.7 , 403.32, 404.94,\n", + " 406.56, 408.18, 409.8 , 411.42, 413.04, 414.66, 416.28, 417.9 ,\n", + " 419.52, 421.14, 422.76, 424.38, 426. ]),\n", + " )" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", 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\n", 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\n", 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\n", 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "ax = sns.swarmplot(y=man_count, color=\"black\")\n", "ax = sns.boxplot(y=man_count,color=\"lightgrey\")\n", @@ -529,10 +1136,29 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 24, "id": "95d4ab80", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "count 88.000000\n", + "mean 375.715909\n", + "std 37.985463\n", + "min 52.000000\n", + "25% 370.000000\n", + "50% 380.000000\n", + "75% 387.000000\n", + "max 453.000000\n", + "Name: BBBC001 manual count, dtype: float64" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "dat[\"BBBC001 manual count\"].describe()" ] @@ -556,10 +1182,23 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 25, "id": "ef3c8512", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "(mu, sigma) = norm.fit(man_count)\n", "n, bins, patches = plt.hist(man_count, 100,density=1)\n", @@ -595,10 +1234,23 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 26, "id": "89d7d6fd", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "#plot\n", "\n", @@ -681,6 +1333,14 @@ "metadata": {}, "outputs": [], "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "ee29fa35", + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { diff --git a/06_biostatistics_introduction/stats3.ipynb b/06_biostatistics_introduction/stats3.ipynb index 78ed0ed..16cd9fe 100644 --- a/06_biostatistics_introduction/stats3.ipynb +++ b/06_biostatistics_introduction/stats3.ipynb @@ -60,7 +60,7 @@ { "data": { "text/plain": [ - "Ttest_indResult(statistic=-2.169250531856922, pvalue=0.0436995946390083)" + "Ttest_indResult(statistic=-1.1671662020672113, pvalue=0.2583731851948654)" ] }, "execution_count": 2, @@ -69,7 +69,7 @@ }, { "data": { - "image/png": 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\n", 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\n", 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rga3dzKcXATdVVfNT71aRNcAtvT4DRwKfqarbx1vSUN4FXN91THcBbx/kTSZ6GqEkaXGTPoQiSVqEAS5JjTLAJalRBrgkNcoAl6RGGeBqVpI/SfLxIV5/e5J983fq69Yd3N3tgHljN9Vr/3NXJfnjJd734iR/NWhdUr8McB3O/prePPb5Pgx8tKpOBZ4BrgBIciTwp8BnlnjfLwK/n+Qly1irdAADXKtCknVJvpzkW0m2JTm5a//lJHd1+0h/KMn+HQepqm3As/PeJ8AF9JY3A2wFNnTHFwD3VNXz3bXbk1zT7U99f5Kzu/ctYDvQ9PatmnwGuFaLvwW2VtWvA9cDf9O1XwNcU1W/Rm8PiqW8Eti3P6T52R0wz6W35/lcL+k2wPpz4FNz2meA3zrUm5AOhQGu1eIcXhja+EfgvDnt/9wdLzX0sZS19LYBneuz8P/7vL98/34q9Lak/YUhP086KANcTUnyjm7I4j5GE5BPA8d1493wsztg/gg4Zt718/ei2H9+THe9NDIGuJpSVZ+oqjO7YYv/nvPUv9PbdQ/grcBXu+O7gD/oji9nCd349Z3ApV3TRuDW7ngncOq8l/whQJLzgO9X1fe79l+h0d3y1A4DXKvFu4C3J/kWvZkl+39g+Srg3V37qcD+gCXJV+kNr6xPsifJ73RPva97zaP0xsT37xb5r/R+Cmuu/0lyL/B3dLNVOm+gNxtFGhl3I9Sq1k3l+1FVVZLL6f0o9sC/q5rkFuC9VfVIku3AX1TVzLxr1tDb7nT9MLVLS5no/cClZfAbwMe76YH76M3jHsZmel9mPnKQa04G3jPk50hLsgcuSY1yDFySGmWAS1KjDHBJapQBLkmNMsAlqVH/BzrmSwOsIKMFAAAAAElFTkSuQmCC\n", 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" ] diff --git a/09_hypothesis_testing/stats4.ipynb b/09_hypothesis_testing/stats4.ipynb index 19a62dc..4505776 100644 --- a/09_hypothesis_testing/stats4.ipynb +++ b/09_hypothesis_testing/stats4.ipynb @@ -10,7 +10,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 1, "id": "d2b3467e", "metadata": {}, "outputs": [], @@ -48,7 +48,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 7, "id": "606bf341", "metadata": {}, "outputs": [ @@ -74,14 +74,14 @@ } ], "source": [ - "dat = pd.read_csv('https://raw.githubusercontent.com/BiAPoL/Bio-image_Analysis_with_Python/main/biostatistics/data/leukocyte_counts.csv')\n", + "dat = pd.read_csv('https://raw.githubusercontent.com/BiAPoL/Bio-image_Analysis_with_Python/main/data/leukocyte_counts.csv')\n", "\n", "print(dat)" ] }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 8, "id": "c952a62f", "metadata": {}, "outputs": [ @@ -91,13 +91,13 @@ "" ] }, - "execution_count": 6, + "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -122,7 +122,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 9, "id": "4e2cdefd", "metadata": {}, "outputs": [ @@ -132,7 +132,7 @@ "Ttest_indResult(statistic=-0.6672986139650978, pvalue=0.5053583624156102)" ] }, - "execution_count": 7, + "execution_count": 9, "metadata": {}, "output_type": "execute_result" } @@ -151,7 +151,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 10, "id": "fa25bc61", "metadata": {}, "outputs": [ @@ -161,7 +161,7 @@ "WilcoxonResult(statistic=2332.0, pvalue=0.506948473287772)" ] }, - "execution_count": 8, + "execution_count": 10, "metadata": {}, "output_type": "execute_result" } @@ -180,7 +180,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 11, "id": "f5ec5bea", "metadata": {}, "outputs": [ @@ -190,7 +190,7 @@ "Ttest_indResult(statistic=-4.695380523297982, pvalue=4.964171715705624e-06)" ] }, - "execution_count": 9, + "execution_count": 11, "metadata": {}, "output_type": "execute_result" } @@ -201,7 +201,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 12, "id": "2d945bef", "metadata": {}, "outputs": [ @@ -211,7 +211,7 @@ "WilcoxonResult(statistic=1283.0, pvalue=1.9512317174970406e-05)" ] }, - "execution_count": 10, + "execution_count": 12, "metadata": {}, "output_type": "execute_result" } @@ -238,7 +238,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 13, "id": "afa386ce", "metadata": {}, "outputs": [ @@ -264,7 +264,7 @@ }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -312,7 +312,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 14, "id": "6788d504", "metadata": {}, "outputs": [ @@ -322,13 +322,13 @@ "" ] }, - "execution_count": 12, + "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -345,7 +345,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 15, "id": "5a0757de", "metadata": {}, "outputs": [ @@ -355,7 +355,7 @@ "F_onewayResult(statistic=12.847664465933143, pvalue=4.452663722900786e-06)" ] }, - "execution_count": 13, + "execution_count": 15, "metadata": {}, "output_type": "execute_result" } @@ -390,7 +390,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 16, "id": "efccf117", "metadata": {}, "outputs": [ @@ -416,7 +416,7 @@ }, { "data": { - "image/png": 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OnY2OtfHZxGeWAuDtYs9Pdw8lzFt9e7Qqievk1k9tufzwv3oJrLgDypqUEbd1gqcyZJK7j0c1d08dcp8pdTaAix88GC/PIRRWwaAZyK3Mxc/JD5s/SU64LGGZsRznnbF3sjl9M/P2zzNeFwhWXb6KSI9IC1n9/+evREFtH7URIn1deHhCFzYl5PL2epNfe2FFLV/tTuXJyd2saJ2C6Anw0AnIS4CA7jLh3cDbZY2ERnpdBbsXgkcYeIabi4KdMwx7UArGsR/l9fH/UYJgReLz43lo80NkVmQS5BLEWyPfoqdfT7Mxq5JX8cKuF4zt/Tn76R/Y32yMhkZScdIFJQp/hRKFNkad3tCsT19/4a7m2hU29pDwC6x5FIJiYcy/wL8bpGyT3kRb3gBDrRzbYYz84C8+CzYOMPElcPaGcc/Jl8LqPL/zeTIr5EovqyKL53c+z/Kpy6nWV1NQXUCIa0iz+gp5VXmEuoaa9TnZOtE34G+cDC4glCi0MUZ28aOTvytJueUAONvbMHuA2mNuE6x7BvY2HDhmHpQupHNWQ/RE+O5akyAAnN4Id+0BfRW4+EuPpR0LoPs0dWbQRkgqTjJrJxcns+bMGl7Y+QJldWV08epCjI954KFO6JgRPQN3B3d+PPUjng6e3NPnHrwcvSxpequiRKGN4WBrww93DuGrXakUV9Zy3aAIInxcSCus5PW1CZzOK2d89wDuGd0JWxuVpcSinPzFvH1mK1SXgqM7zbIYAqDJFcUXk2UBHoDNr8DNayGwR6ubq/hrhocMN8YuAAwOHszzO5+nok5GJycUJRDuHk43726cKDyBrc6Wu2LvItg1mDkxcy64w+XzRYlCG+SjLcl8vPU0eoNGYk45H14bx82L9nKqYfXQeAj9wLjov7qN4p/Gp6P5wbJbEGQcgPQ9EDYATq0Fg/Qgo9M48O8qYxgaBQHkQfXeT+Cydy1ru6IZ/xn6H9z3uXMo9xCxfrFc1eUqrvv1OrMx6WXpLLtsGcnFyXg5euHt2P6TUypRaGMcyyjhg82m6MktiXks2JRkFIRGNpzIUaJgaSa+DN/OhtJ0cPSQH/xLppmuD7gNnHwgN16mr/j2Guh+WfP7XMAef+0JDwcPXhgqD5FLakoorCok0j3SLMvqyLCRAHT07GgNE62CEoU2RnJeebO+vLJqXB1sjXEMAB18XS1plgIgqBfcfxgKTsm8Ru/1Nr9+eCmMfBROrJLt3HjIPAQh/WSZTpBeSP1vsaTVir9hcfxi3jvwHrWGWjp5dmJE6AiyyrOI8oiiXqvnQM4B4gLirG2mxWi1TWkhRJgQYpMQ4oQQIl4IcX9D/3NCiAwhxKGG1yVN5jwphEgSQiQIIdpHcvK/ISm3nFsW72Pc21t4c20Cg6K8cbIz95ee3DOIFy/vgauD1PDO/q48OlEVbbEKNrbS48jeGWgho2nCb+btsgzpeTTtfel1dOcOKS6KVqWiroKEwgT0Bv1fjsuuyGbe/nnUNjgJJBUnEeEewcCggaxLXccnRz5hzm9z+PHUj5Ywu03QmisFPfCwpmkHhBBuwH4hRKN/1zxN095sOlgI0R2YBcQAwcAGIUS0pmntNt9DvUHjpkV7SCuUeY8W5CZhb6tjydwBvLcxibLqOmYPCGdM1wAAJsQEkFNaQ6SPM0KlWLY+wx6A355o0r4fStIhdZupz9YRfKNlyU6FRViXso5ndzxLRV0FAc4BvD/2fbp4t/wlKr0s3VhzuZHTxafZk73HrG9R/KJmeY40TWN96npOFp5kUNAgBgQN+GcfxEq02kpB07QsTdMONLwvA04Af1UtZhrwnaZpNZqmnQGSgPbx//KfkJRbbhSERjaezKW6zkBljZ7Kmnoqm2wZOdvbEuXrogShrTDoTrhpDYx9Fm5YJTOnjnxCpqsAsHeFS96Q8QkKi1BnqOPFXS8aPYhyKnN4a99bfzq+l18v/Jz8zPpGh41GJ8w/Gm2EDSU1JRwvOG5cfby651Ue3vIwnxz9hLnr5rIsYdk//DTWwSJnCkKISKAPsBsYCtwjhLgB2IdcTRQhBWNXk2nptCAiQojbgNsAwsMv7LrFIV5OONvbUFlr+qYS5u3EzYv3UtsQxPbc6uMEejgxqUegtcxU/BURQ+SrEbcAuG0zFKWCi6+MfFZYjPLacopqisz6zpad/dPx9jb2fDz+Yz44/AFZ5VkEuwaTU5nDJVGXsCJJllgVCHr79Wbs92Opqa8hyCWId0a9w/eJ35vda8nxJe2irkKrO7oLIVyBH4AHNE0rBT4EOgK9gSygUcZb+vrbzE1D07SPNU3rp2laPz8/vxamXDi4OtjyyvSeuDtKbY4N9aBfhLdREBrZkphrDfMU/x+8IqQglGbJw2ZD80h1xT+Pl6MXcf7mh8L9A/tzx4Y7mPTDJF7d86pZamyATl6deGvkW+h0OnmOcPQTVp9ezaP9HuWhvg+xePJi1qSsMc7LqshiweEF2Ajzsz9bXfvw22nVpxBC2CEF4WtN034E0DQtp8n1T4DGvMHpQNNQz1CgiVN4+2Ra7xAmxgRSVFlLkIcTJ7JKm42JDnCzgmWK/zebX4Utr4NWD75d4IafwF3VyGht3h71NgsOLSCxKJHBQYP55fQvpJenA/D1ia+xt7Hnvj738euZX0koTGBI8BDc7N04kmeqbaE36DlWcIzXR7xOVnmWcTuqkeyKbG6IuYGPj3wMyNXErT1vtdxDtiKtJgpCbnx/BpzQNO3tJv1BmqZlNTSvAI41vF8FfCOEeBt50NwZMD/taac42tkQ5CFzsncLcueRCdEs2JREjd7A5B6BXDPwwt4ma3foa2UivOOrwDsKJrwIwb3NxxSfhS2vgdawQshPkOm0L3nd4uZebPg4+fDvwTJRYWppKh8d+cjs+o6MHRRXFxu3h748/iW39GjuJmyvsyetLI3SmlJ6+PTgWMEx47XxEeO5M/ZOBgUN4mThSQYEDvjTw+wLjdZcKQwFrgeOCiEONfQ9BcwWQvRGbg2lALcDaJoWL4RYBhxHei7d3Z49j/6Ke8Z05uZhUdTUGfBysbe2OYpz+eNN2PWBfF+aDt9cDQ8ek1XUjv0gVwN+XU2C0Ejxn+9tK1qHQJdAPBw8KKkpMfZFeUSxKnmV2biNaRsZFTqKzembAXCxc6FaX80lP0qP+Y4eHZnWcRppZWmMDBvJnO4yxUX/wP7NsqZe6LSaKGiato2Wzwl+/Ys5LwEvtZZNFxLO9rY4Kz1omzRWT2ukPBsOLoFfHpFbRQBBfcAjVLqoNhJzhcVMVEgcbBx4ceiLPLfjOQqqC4j1i+XePveyKW0T9fX1ZuOeGvQUscmxONk5EeUexe0bbjdeTy5JZnzkeF4c9iJrU9Zy5eorqdJXMbvr7HaXA6l9nIwoFJYksCek7Ta17V3h1HqTIABkHYSZSyDxNyjNgJ4zIfZqOLvbtJroexM4eVrc/IuNUWGj2HDVBspqy4zZTG/qcRMLDy8EpLtpN59uXPLDJeg1PT6OPsztObfZfbLKs0gpSeGxrY9haFgFvrnvTSLcIxgVNspiz9PaKFFQKP5bRj8N+afgzBaZFvvStyBhTfNxHmEQO0vWVfCKhORN8NV007ZS/Aq4bQuouJNWRyd0LI5fzE/JP+Hl6MWDcQ+yZPISEosS6enbkxvW3IBek/EHBdUF7MjcgbejN4XVhcZ7TIqaxN6cvUZBaGR31m4lCgrFRY2zN8xZBdUlYOciU1/4dJKptRv3rjuNg29nya0lBIx+CnKOmZ8zZB2G9H0Q1r72pNsiyxOX89mxzwDIr8rnwc0Psu7KdfT27016WTrV9dVm4wuqCvhi4hd8duwz8irzcHdwZ2v6Vnr69mx2724+7asqokrIr1D8rzh6yJ9rnoBFl8rAtcH3wPUrZR3n8uyGgZr0RGrJj91BJTa0BHuz95q1a+prOJx7mNTSVM6WnW32YX9ph0vp4NmBZwc/y9mys6xNWcu3J7/l2R3PMqvLLFzsXLDV2TIzeiaXRl1qyUdpddRKQaH4/7D7Q/kCqCqEkgwY8ShsfdN8nEEPMTMg6XeoLpZ9Pa6UyfUUrU6MTwy/pZiSFdoIG3Zl7eK+TfcB4OXgxbSO08irysPRxpGkoiQ2nd0EQEZ5hnGe3qDHoBn4Y9YfGDQDDjbtr8a2EoU2jKZpvLE2gW/2nMXd0Y5HJnZhamywtc1SNCVlu3m7rkKW6uw10zwxXmBPuSq48nOoLJAFeqKGW9bWi5hrul1DQlECa86swcPBg7k95/L2PmP4FEU1Reg1+YHfWI1tZfJKboq5qdm9XOxdsNPZWcx2S6NEoQ3zw4EMY8Gd4so6Hlx6iD5hnoR5O1vZMoWRkL6Q2OSQ2cYByvPg7C7oOgXqa2XthTN/wJdT5ZhO4+Ca9pE87ULB3saeV4a/wvNDnsdWZ8upolPNsqNmlGVwKO+QWd/+nP0MCxnGtgwp8P7O/lzT9RpLmW0VlCi0IZbsTOG9jUnU6g3cPDSKzGLzDKr1Bo0DZ4uUKLQlhtwD+YkQ/6P0ROo+FVY0SXcQHAcdRskSnI0kbZAurF0mWdzcix17Gxn8E+0VTVfvrpwsPGm8NjlqMsfyjxm9kEBWZ3t/7PtsTtvMwdyDTI6aTKBL+05OqQ6a2whH00v410/x5JXVUFJVx7wNiTjYmf96hIDYUE/rGKhoGTsnmPEJPJ0DD5+AvATz65kHIPdE83kVeZaxT9EiQggWjlvITTE3MSp0FGPCxnAk/whjwscYxzjbOnN77O0czT/KU9ue4ov4L5j580xjvqP2ilopWJj88hoe+f4wWxPz6BLozuszetEz1IP9qYXNxjrY6bhxSCTf7jmLm6Mdj03sQqSvSsXc5qgpl1HObkHNaycIHcRMhyNL5VYSgKMndLnk3LsoLIyPkw8P9n2Qq3++mhOFJuF+IO4BQt1CGRg4EE9HT+7YcAfldaYyuR8d/ohZXWfhbu9uDbNbHSUKFuY/q4+zOUF+SzyRVco93x5g8yOjiIvwajY2wM2RxJwypsUGc+PQKLoHt88/wguagmT4fBJUNKQ373IJOHlBVUNO/4F3QqcxshjPvi/AzhEG3gEuPtazWWEkoSjBTBAA9mTvYW7PucYgteJGb7EGag21VNZVKlFQ/DMcOGteACS1oJL88lp6hXry/NQY5m88RY3ewIy4EN5cl0B1nfzD/PloFmsfGGF2nlBQXsP25AI6+rkQE+xh0edQNLBjvkkQABJ+hVt+h7JsWVMhsMH/PbSffCnaFJ4OnggEWpPSLe727jy0+SF+P/s7QS5BDA8ZTnxBvPH6wKCB7fpcQYmChekf6U16kcnvOdLHmZ8OZbD7TCGxoR5se3wMjnY2fLg52SgIAJW19fx2LJtbR3QAYF9KITd8vsdYte3eMZ14eEL7SN17QVFV1LyvvhY6TwCb9uu22F4IdAnkhu43sPj4YgC8Hb1xtHVkZdJKQMYo/Hz6Z14a+hI7snbQwaMD13a71ooWtz5KFCzMv6Z0p7xGz9bEPLoGutHB14UXf5HL1/XHcziVW867s/rg49o8Raqvm6nv3d9PmZXxXLglmbnDovBUqVUtS5/r4fhPGIsE+kbDjgXSTdUtWOZFUl5GbZpH+j9CF+8uJBYlck3Xa3jijyfMrpfXldPRsyNTO021koWWRYmChfF2seeTG0zbCH1fWG92/ecjWbxxZSyTewSydG8a+1PlN9HeYR7sOVPImqPZTI8LobRabzavrl6jsrYeT+Wtalk6j5N5kI4skwfNlQWwT+bYoTQdfrhFeiU5qOp5bZXndz7P8sTlgMyRND5iPAdyDxivezh40NGzo7XMszhKFKyMn5sDBRW1xra3iz3vbkjk8+0paJrGFX2Cubp/OA8tPcShtDQA1h3P4fpBERxOKzbOGxntR7Cnk6XNVwBEjZAvgC/O8SqqLZNxDCF9LW+X4m9JL0s3CgLIVUF5bTnTO09nXco6Qt1Cebz/4zjaOrI3ey+Z5ZkMCxmGj1P7dRRQomBlnrqkG7cv2U9VXT12NoIr40J5vyGKGWDFwUw6B7iRWXJOFseKGj65oR8bjufQ0d+F6wZFWNp0RUtEDIXUJqkvnLzBP8bUPrpcrircg2DYQ/IwWmE1zq29DFBVX8Xrg17n8f6P42wnl97/3vFvfjz1IyCrsn028TNifGKazW0PKFGwMiOi/dj15FgOpxfTLcidZfvSmo3JK61p1ufv5sj47gGM7x5gCTMV58vwh6EyH+JXgnswdBoP6XsgcriMev6hSfGW5I1w7wF1IG1Funh3obdfb2N6C4Eg3C2cUctGUVpTytjwsdzd+26jIIAUks+Pfs5bo96yktWtixKFNoCHsx0jov0AGNyx+bJ0SmwQOp3gs21nAOmxdPvIDha1UdGE6lJZpznzoNw2GnI/2DYc8Ns5wpR5EHuNzHW0fZ58xc2Binzz+xSfhbQ9EDnU8s+gMLJgzAK+Pvk1hdWFDAgcwONbHzemuthwdkOLW0WV+kpLm2kxlCi0MeLCvXhlek8+2pJMvaYxuIMPaYVVPDKhC9cNiiCvrIa4cE9sbVSGEqux4nYZjwBwZitUFMDkV83HbJsHdU0+OA58KauwmSHkakJhNXZn7eaZ7c+QXZFNjE8MsX6xZrmPAPIq84jzjzMePgsEM6NnWsNci6BEoQ1RUlWHrU4we0A4l/QM4vL3t7NsXzrL9qXTwc+Fn+4eSpRKc2Fd6qqal9489gMMugO2vA4laTKtRd253yQ16b6athsKTwMChj0I3lGWslxxDnqDnqf+eIrcKhl8GF8Qz9qUtbjYuZidNQwKHsS0jtNYnriczIpMxkeMp29A+3UcUKLQBtDXG3jix6OsOJiBjU5w2/AOBLg7cCbf9Id5Oq+Cn49kMXtAuBUtVWDjAK4BTaqqAR6h8OU0KEqR7TNbod8tMh9SY/xCh9Fym+iGVbB7Ifh0hrjrLWy8oinFNcVGQWgkuTiZ+WPmM2//PPKr8pnSYQpXd7kandBxQ8wNVrLUsqg9iDbAykOZLN+fTr1Bo1ZvYMGmJJLyypuNq66rb2G2wqLodHDJ69DglYKTF8TdaBKERgqT4ebfoO9NMPEVmPWNrMn8wSDYuQB+vh++a9+RsW0dXydfOnt1NuuL9Y9ldfJqbHW2XNP1Gu7pcw86cXF9TKqVQhvgZFZps75Ad0d8XOyNMQy+rvY42ulYtP0Mk3oEEejhaGkzFY10nwZRI2X8QWBPqCoGYQNNi7a4+sO6f0nPI0cPcPGVpThrm4h94hrIPmrKj6SwOO+MeofX9r5GYlEiQ4OHcijvEMnF0iX8YO5B9JqeW3reYmUrLUurSaAQIkwIsUkIcUIIES+EuL+h31sIsV4Icarhp1eTOU8KIZKEEAlCiImtZZu10NcbeHfDKS5/fzuPfn+YnFIZezCyi5/ZOFudYHhnPxbd3J+Hxkfz8IRowr2defLHYzy3+jjj3t5CQnaZNR5B0YiTJ4QNkPUU3INg7L9A1/Ady6czaAYpCADVJbD6flmq81zqa5v3KSxGuHs47499n/VXruemHjcZBaGR9anr/2Rm+6U110V64GFN07oBg4C7hRDdgSeA3zVN6wz83tCm4dosIAaYBHwghLBpRfsszrwNiczbkMihtGK+35/OrV/uA2B4Zz9emd6TLgFuxIZ6MKlHINM/2MFl87dzJL2EfhFeHDhbbLxPeY2eRTtSrPMQCnPKc2H3R+DiB/fsh9u2wN17oPiceJO6Sug8EZrW9g0bpCKd2xC+Tr442ZpnBQhzC7OSNdaj1baPNE3LArIa3pcJIU4AIcA0YFTDsMXAZuDxhv7vNE2rAc4IIZKAAcDO1rLR0qyNzzFrH0kvIaukiiAPJ2YPCGf2gHCOZZQwZb6p4PuGEzmEeDbfKqrV1/P2ugQ2JuTS2d+NRyd2UWkuLE3xWfh4lMx3BDJy+bZN8tyh83hI22Ua6x4KsbMhuA8cXynzJMXOtobVij/Bxc6Fx/s/zit7XqGmvoZQ11BmdJ5BvaEeG127+n76l1jkTEEIEQn0AXYDAQ2CgaZpWUII/4ZhIUCT/4pIb+g79163AbcBhIdfWJ44kT4uJOWa9pTdHW3xOieraXILB8w1+npiwzyNuY4cbHXoBLy3MQmAYxmlJOaU8ct9w1vPeEVzDnxpEgSA3HhIXAt+XaTTUddLIS9Rup2Oex5sbCGwh3wp2iQzomcwLmIcG1I38N6B97ht/W0EugTyzqh3iPFtn2ktzqXVj9WFEK7AD8ADmqY1P1FtMrSFPq1Zh6Z9rGlaP03T+vn5+bUwpe3yxOSuhHnLb/Mu9jZMjAlk5kc7mfP5Hg42FN8Z3NEHx3NqM4/tFsi3tw7kmUu7cfPQSNbcP5xDaSVmY+IzS8korrLMgygkmqF5X048fDgUNr0AJ3+RAnHt9xDQ3fL2Kf4nPBw8+PzY5xTWyBK52RXZvLT7JStbZTladaUghLBDCsLXmqY1Jg/JEUIENawSgoBGR+F0oOkGXiiQ2Zr2WZpO/q5sfmQ0SbnlHEkv5tHlR4zXDqQWse2JMfi7ObLopgG89/spSqvruGZABOO7B7Bg4yne+z2J2noDR9JLCPN25tQ5qw4fF1VLwaLE3QB7P4PGco2+0ZBxAAx1pjEnf5YlO30untTLFyJF1UX8fPpnNE1jYuRE0srMz4TOlJyxkmWWpzW9jwTwGXBC07S3m1xaBcxpeD8H+KlJ/ywhhIMQIgroDOxpLfushY1O0CXQje1J5nlwymr07D4ttyI0rckLjZT8Ct5an0htvfxmui+1iBBPR2N0s5uDLS9d0RNHu4tn37NN4BUJd+6A8f+RxXRu+R0uor3n9kJxdTFXrb6K1/e+zhv73uCaX65hQNAAszGjwka1OLestoxTRaeM9ZzbA625UhgKXA8cFUIcauh7CngVWCaEmAucBa4C0DQtXgixDDiO9Fy6W9O0dhut1dHPtXmfvyu5ZdXctGiPsRTn0yuOce+YTmjnbKQVVtbx+0MjOVNQQZCHI872KuTEKniEwND7Te3Bd0HSBtNqoesUtUpoY1TWVfLz6Z8pqC5gUuQkdmftJqfS5ASSW5XLrK6zCHUN5Uj+EfoF9OP+uPub3Wdl0kpe3v0yVfoqwt3C+XDch4S7X1jnnC3Rmt5H22j5nABg7J/MeQm4KDbvbhoWxa4zBWxPKsDeVsc1A8Jxc7BlZ3KBWW1mgKySKjyd7SiuNG1LTOgegE4nWhQXhRWJGiFXDyd/lrUSuk2ztkWKJhg0A7esu4Wj+UcB+OzoZ1zX7bpm45ztnHluyHPGdkJhAvMOzCOzPJOJkRO5odsNvLL7Far08hzvbNlZ3jv4Hm+OfNMiz9GaqK+XVsLVwZavbxnEiawSHv3+CIt2pLBkVyoz4po5XNEtyIMbh0Tx7u+nyC+vYUZcKNN6Nx+naCP4RYPfQ9a2QtECB3MPGgUBoKa+hqyKLEJcQ8gozwAg0DmQmvoa5h+cz6TISUS6R3LnhjvJq8oDYOHhhdToa5qlzz5betZyD9KKKFGwMr8cyeZYpnTKqjdoLNuXzvWDwlm6L51avYER0b7sSynki+1nGBDlzeszeuGlDpTbDvV1MlWFVyQ4e1vbGsXfYNNCPKyTrRPLLlvG2pS1GAwGfjz1I/P2zwPgi2Nf8MzAZ4yC0MixgmN09urMqaJTxr6x4S1ugFxwKFGwMmcLmxfrGNM1gEcndaW6rp6Hlx1mzTGZkTO9KIOq2no+vE5FwbYJ8hJgyXQoTZfZUy95HfreaG2rFH9Bb//eDAwcyO7s3YAMWAtxDeHjwx8zNGQoTrZOHC88bhxfZ6hje+Z2HGwcqKk3VUDs5NmJm3vczPyD80kpTWF02GhuirnJ4s/TGihRsDKTewSy6rDJ89bbxR5fN3uyS6rp5OfKtnO8lLYm5p17C4W1+P0/UhAA6mvgt6dksrytb8LxVeAZDhNflFHMijbDh+M/ZOPZjRRUFbA/Zz/vHXwPgMXHF3Nrz1ubjXexc+HZwc/y6u5XKasrI84/jjti78Db0ZuXhrW/I1ChnevWcgHRr18/bd++fdY247xIzCnjxwMZuDvZMrt/uNkW0A/701m+Px1vF3sKymvZdUa6po6M9iOzuMosHiEu3JMf71LlG9sEC4fJraOmDLobdr1varv4w4PxpnKdijZDaW0pw78bbuZO2tmrMwHOAWzLkKlmXOxc+HLyl0R7RVNTX0NZbRm+Tr7WMvkfQwixX9O0fi1dUysFCxCfWcL0D3ZQo5d/fN/vS+e3B4bjYCv3N2f0DWVG31B+PZrFXV8fMM7bkpjH/WM78+PBdNIKq+jg58KLl/fg1TUn+elQBgHujjx1STcGRKm9bKvQ/XJzUQjuA1mHzMdU5ELOMQiJs6RlivPAVthiK2yp1UyZah1tHHl20LOsPr0aFzsXxkeMx99ZZuJxsHHAwcnBWuZaDCUKFmDp3jSjIACcya/gj8R8HO1sWH88myhfF2YNCCejqHmaCludYMsjoymoqMXX1Z7Ptp1h4RaZ3jerpJq5i/ey88mxuDqoX6XFGfYQ2DpC4m/g2xlGPi5rM6duN42xc1ZxCm0UZztn5sTM4ZOjnwBSJDp7duaSHy9Br+nxc/JjYOBAoyhcLKhPEgvg1EKk8cG0It7fZMrdvjkxj+enxvDGugRqGwTEzkZQVVfPiDc2YWej457RndiRXGB2n7JqPUfSixnS8cJf0l5w6HQw5B75amTk45B3UpbidPaF/nNlER5HD2tZqfgL7ou7j+Ghw0ksTKSHXw/mrJmDXtMDkFeVx/uH3mfe6HlWttKyXFx15qzE9YMj8HU1LTsHd/Bhz+lCszGbE/LQCcG3tw5kco9AJsYE8OjELnywOZn0oirO5FfwyPLD+LuZL1/tbXREB7hZ5DkU54GzN9zwE9yyURbd2fIavNcbtr5hPi7zEKx5HDa9DGU5Ld1JYSH6+Pfh6q5X42bnZuZhBDIZ3sWGWilYgFAvZzY+MpINx3PwcLJjZLQfcxebH5Db6AQ7k/P5aOtpSqr0zB4QZhbBDDIXUqSPCxO6B7D+RA5ezvb8a0o3M8FRWIGCZFlbIXww2DXUvtj1AZQ3fKBoBtj8KsTNkWU6Mw/CZxNMVdcOfysL89ipehjWJNw9nB4+PThWcMzYNzlqshUtsg5KFCyEu6Md0+NCje17xnRi9xlTSosr40J5asUx9AbpDTZ/YxJzBkc0u0/fSC/uGNWRiho9DrY6bG3UYs+q/P4C/NGQ2sA1EG78WZ4vlJ3zDdOgh4p8KQoHvzYvw1l8VtZv7jbFcnYrWmTB2AV8evRTY+zBVdFXUVNfw/cJ38s6ziFDmRjZ7ioFm6FEwUr0j/Rm66Oj2XoqnyhfFzKKq1i6zzxdb0WNnluHR/HlzlRsdYI7R3Wkf6T0NHJRB8vWpzQTtjVJAFyeLWMUpn8Eva6CVFMFPQJ6SFFI3wcOLWz3tdSnsDgZ5RkcyD1ASkkKng6eXNrhUp7d/izrUtcBsCJpBbmVuVzf/XorW9p6qE8WK+Lv7siVfeXqwcfFHiEwy4YaG+7F9YMieHRiV3QCtSpoa1TkNS+0U54tq6+l7YGul4G+CjwjpEfSl5fJMZHDwT1YigpAxzEykZ7CqtQZ6nhw04PkVskSLz+f/hknWyfWp643G7c8cbkSBUXrE+nrwstX9OSNtQmUV+sZ1cWPEE8n6uoN2Nvq2J9axDMrj3E6r5zx3QN4ZXpP3Bzt/v7GitYjsJesy5wbb+rz6QjfzDS1Q/rKD/19n5n6Uv6AqxYDGjh6QtRIEH+WUFhhKdLK0oyC0MiRvCM42joas6ECuNu7W9o0i6K+erYhZg8IZ+9TYxkR7cu64zncvGgvE+ZtJbukiju/2s+JrFJq9AZ+PpLFm2sTrG2uQgi4YSUMvge6TYUrv4CC0+ZjMvZD7onmc2tKIeYK6DhaurYqrE6YaxjejuaBoLF+sdwRe4exba+zJ9Yvlse2PsYXx75o5q3UHlArhTbGnpQiNpwwfVs5k1/BB5uTyS0z/+Pbm1JkadMUTdHXwq+PwJGl8vB4wkvQfSqcWG0+Tujkh//h70yFdxw9ocslFjdZ8dfY2djx5sg3eX7n86SVpTEidASzus7iTMkZPhr/ESU1JRwvOM6i+EUArDmzhuMFx3lj5Bt/feMLjP9aFIQQOsBV07TSVrDnoqeworZZX329hq+rA/nlJmGIi/C0oFWKZuz+EA4slu+Lz8IPt0DEcRj+MJzeBFUNoj3wDrl9dNMa2Pe5dFkdeCe4qGDDtkBlXSVLji8hsSiRYSHDuLzT5fx8xc8YNAMbUjcwc/VM9JoeG2HDC0NfaHa+sC51Hc/XPY+znbOVnuCf57xEQQjxDXAHUA/sBzyEEG9rmta+JNKK7E0ppKC8hv6RXvi5OZDXsDKw0Qmu7BfKtD4hPL3iKKfzKxjfLYBHJ3a1ssUXOWnnlA+vr5F5jzqNg/uPwJkt4BYE+76AF/3BxQ8mviRXDYo2w2NbH2NL+hZAfsAXVBdwS89b0Akd7xx4xxjdXK/VM2//PPyd/Y3FeEAmzLOzaV9ne+e7UuiuaVqpEOJa4FfgcaQ4KFH4B7j7mwP8ciQLAH83B96/pg+/HcuhrLqOq/uH0SfcC4D1D420ppmKRurrIGygLLnZiK2j9CZadgN4hMm6zYe+hkNfyeulGfDjbRAxVG43KaxOcXWxURAa+SnpJ27peQsAJTUlZtdKa0t5ceiL3L/pfqrrq9EJHff3uR873cUpCnZCCDvgcmCBpml1QnlL/CMcTS8xCgJAblkNvx7N5rmpMVa0StEiJenygz11O/h2lbUTTm0AtwDoPAlW3Wsam7wRvKPM59fXQtYR6DzOsnYrWsTR1hFnW2ezspo+Tj7E58eTUprC5KjJLE1Yarx2eafLGRIyhLVXruVg7kG6eHUh1C20pVtf0JyvKHwEpACHga1CiAig5C9nKM6L0uq6Zn0lVXXUGzTqDRr2ttIzpaiiloVbkknOq2B8d3+u7h9uaVMVvz5qyoCafxI0PTyVIb2QlpyzLZR7HDqMMu+zdVQptNsQjraO3B93P6/tfQ2DZsDFzoUA5wBm/TJLXrdx5KaYm8iryqOXXy+uir4KAG9H73ZTerMlzlsUNE17r7EhhDiLXDUo/p8MiPKmg68Lp/MrANAJ8HS2I+6F9VTW6rmybygvTOvB3MV7OXC2GIANJ3KoqKnn5mFRf3FnxT9OxgHzdkESVJeAkye4BphfEzp5yGyol55HLr7QZbKsvxA1QsUltBGu6XYNI8NGklycTKR7JNNWTjNeq66vJrE4kYXjFlrRQstzvg7SPwohmgpIILCuFey56LCz0bHsjsHcN6YT1wwM5+2ZvfliewolVXXU1Wt8uyeND7ckGwWhkZ8OZbR8Q0XrETHEvO0fA3s/ha9myDQVTYVh0F3gESrrNt+yAaoKYecC+HIqLG8ftXzbCyGuIYwIHYGtztZ4sNxIRW2FlayyHue7UlgJLBdCzADCgFXAI61lVHuluq6e3xtiEMZ288exoc6Cr6sDD03oAsDKg80/7M/kVeBgqzMr1OPv7mgBixVmXPKmTGx3egsE9ZIeRRtfMF3vcRXETIOdH0gBOPq9nJO03uSiChC/AoY/AoE9LP8Mij8l2DWYocFD2Z5pKpJ0VZerrGiRdTgvUdA07RMhhD1SHCKB2zVN2/FXc4QQnwNTgFxN03o09D0H3Ao0Vp9/StO0XxuuPQnMRbq93qdp2tr/9mHaMuU1ei5/fztJDfWWO/u7suLuobg62FJdV49B03C2t6VfpBe2OmHMlgowsosf3YLceWXNCQwa+Lra89D4aEoq65i/8RQns8sYEe3L3GEdsNGpbYlWw8UHrl5iar98ziHj8ZVym+hsw38a5Tmw4g7oNKb5vWrLm/cprM680fNYlrCM1NJURoeNZnjocGubZHH+UhSEEA81bSJXCYeAQUKIQZqmvd3iRMkiYAHw5Tn98zRNe/Ocf6c7MAuIAYKBDUKIaE3T6s/nIS4EVh3KNAoCwKncclYfziS7pJqPtiajr9e4un8YL0zrwYJr+vD2+kRKq/RcMzCcab1DAAjycORgWhGz+4fTKcCNaz/dxfYkWYltW1I+ZdV6Hm5YcSgsgEeIrLLWiFsQZB8xH1NXIXMbnfwVGv+cA3tC6ADL2ak4b5xsnZgTM8faZliVv1spnJvPd8Wf9DdD07StQojI87RjGvCdpmk1wBkhRBIwANh5nvPbPJW1+mZ9CdllLNqRYmx/vfssA6K86ezvRpdAd0qr6oxV1f790zEW70wFYMmus8yf1dsoCI2sPpypRMGSTHwJls2R3/ptnWDyq5B9zLxGs7MvxN0AQb3h2HJwC4S+N6l8RxcY1fpqag217T4ZHvyNKGia9nwr/Jv3CCFuAPYBD2uaVgSEALuajElv6GuGEOI24DaA8PALxy1zamww729KoqihmpqXsx1+bvbNxh1oyIZaVi1FZEtiHh9cG8eSXanGMbV6A4t3puLhZEdJlcmlNdhTVe6yKJ3GwUPHpUdRQAw4eUGn8fL84PhKmTJ74ktg6wBh/eVL0WYwaAa2ZWwjqzyLkWEjCXQJbHHc4vjFvH/ofar11YyPGM/Lw1/Gwab9Vjs83zQX0ciD5cimczRNa2Gz9C/5EHgB0Bp+vgXcjNyaOhethT40TfsY+BigX79+LY5pi/i7O7L63mEs2ysL6czsH0Z1XT1vrUukyfEBLg62RkFoZF18ttkYkMLw7JTuPLniKLV6Az4u9jwxWaW+sDiOHhA5TL7f84k8RPYMl7mOzg1eU7Qpntj6BGtS1gDw1v63+HTCp/Ty60VdfR3FNcX4OftxuuQ0b+4z7XavS11HrF8sN8TcYC2zW53z9T76HlgIfIo8CP6f0DTNWKFcCPEJ0JgnIB15XtFIKJD5v/47bZVQL2ejl1Ej82fHMX/jKWrrDdw0NIqYYHc+2JxsNiY60I2JMQGsjTcVeJ8zJJLLYoMZ3dWfM/nlxAR7GL2ZFFZg72cyayrI7aOzO+HeA6CzgfxTcGo9+EZDp7EqRqENkFKSYhQEgCp9FYviF3FJ1CU8v/N5imuK6enbk2kdpzWbm1DUvtPWn68o6DVN+/D/+48JIYI0TWvM6XAF0FghexXwjRDibeRBc2dgTwu3uKCoqq3nnQ2J7D5TSGyoBw9N6IKHk8yTkl1SjYeTHZf2CuLSXkFm864dGM43e86iadAn3JPrBkUwd1gUKw5kcDq/grFd/RnYwQcAbxd7vF28m/3bCgtz/CfzdlGKTJBXWQTfXi1dWQH63QxT5lnaOsU51BmaZxKo1lfzr+3/orxOOoQczT9KkEsQDjYOZnUThoUMs5id1uB8RWG1EOIu5EGz8f8dTdMK/2yCEOJbYBTgK4RIB/4NjBJC9EZuDaUAtzfcJ14IsQw4DuiBu9uD59Fzq+KNdZcPpRWTUVzN61f24rYv97EvtQhXB1ueubQbswaYzkZyy6qJDnDjqcndGBDlTWyYp/Fa03GKNoZXpMyM2ojOVibGW/esSRAA9i+CUU+Bq5+lLVQ0obNXZwYGDWR31m4AbIQN4yLG8UfGH2bj0srSmD9mPu8fep+SmhKujL6SyVGTrWGyxThfUWj00Xq0SZ8GdPizCZqmzW6h+7MW+hrHvwS8dJ72XBD8Fp9t1v79ZA7vrE9kX6oMZCqv0fPsT/GM7x6Aj6sDZwsqmfr+NoobDqN7hLiz8q6hqjZzW6WmDDa+JOMS/LqBTyeZ+kJnB0PvAztnc0EAWYT7wv++0y5YMGYBq0+vJrM8k/ER4+nq3ZVPj35KWlmaccywkGEMDh7M4ODBVrTUspxv8Jo6MfsfiPRx5nC6KW9gqJeTMcdRI7X1BlIKKvFxdeDrPalGQQA4llHK1lN5jOlqSp+QW1rN6iNZuNjbcFlsMC4Oqnie1fj5ITi6TL7POgxdLoVL3oJ1T8Mfb8Huj6DnVZC2G6PfRI8Z0i1VYXUcbR2NSe4aWTB2AW/ve5uU0hRGh43mztg7rWSd9TjvTxQhRA+gO2DMr6Bp2rmBaYom/HtqDLd9uZ/88hrcHW158fKeJOWWsy0p3zjG380BPzd78spqMJzrYgTUmzJbkFZYyWULTCuJRTtSWHXPME7nl/PWukSyS6qZ1juYucOiUKnNLcDJX8zbiWtkrYSchqOy2nI49A1c94M8ePaNhpjplrdTcd508OjAgrELrG2GVTlfl9R/I88HuiOL7EwGttE8WlnRhLhwL3Y8MYbkvHIifVxwsrdheCdfKmv0rD6SSZCHE3qDgRGvb0YnYEqvYNwcbCmrkVsOHf1cSC+q4JOtp5naO5hv95w1W0mczC5jXXw2z60+bizVeTSjBGd7W64ZqM4fWh2fjuYRzN4dpadRU+prwNkbxjxjWdsUiv+R892svhIYC2RrmnYTEAu03+iNfxidEEYvRJ1OcO/Yzqx7cCSX9gwyRiUbNFh1OJMXpvXgsUldeHZKd+rrNZ5ffYKXfj3BpHe2UlrdPCr6TH6FWe1mgPXHs5uNU7QCl75lyozq7CO9irpMMh/jHgoBPS1vm+K8yK7I5rEtj3HFT1fwxt43zLyMLlbOd/uoWtM0gxBCL4RwB3L5i0NmhWR/ahF3fLWfvLIavJztWHBNHEM7mQq2J+c3T4pWVlPHXaM68dOhDFIKTRWhiirrsNUJsyjm6ABXLu8Twju/n6K+ydZTRz/XVnwqhZGwAfBgPBQky0C1giSoKYeul0HRafCKgrHPgo0692mrPLDpAeIL4gFIKk7CoBl4fMDjVrbKuvztSkHIzekjQghP4BNkbeYDtIM4gtbm2Z+OkVcmv3kUVdbx9IqjZtfHdwswi2Oyt9ERE+xBUm45uhbOBLyc7Vn7wAievqQb1w0Mx8HWhru+PsDU2GAc7eSvsneYJ3eN7tR6D6Uwx8YO/LvC2V3w0QjY8iqcXC2T4836GvxULqq2Sn5VvlEQGjm3ZvPFyN9+hdE0TRNC9NY0rRhYKIT4DXDXNO3I30y96EktqDRrny2sxGDQ0DWkt+4X6c2C2XEs3pGCva0ON0dbrly4A4MG/cK9zCqy+bjYM7N/KIEejozq4sekd08aVwdHM0pYMrc/kT6uhHk7W/YhFZLdC83dT5M2QO5JKRiKNomHgwc+jj4UVJsSS0a6R7IqeRUpJSmMChtFL79eVrTQOpzvunaXEKK/pml7NU1LaU2D2hMTugfwY5OiOcM7+3H/0kMcTitmQJQ3/7q0uzGi+VhGCVPmbzOO3Xe2iPvHdSbI3ZHqunomxASQV1aDq4MtWxLzzLaLAPacKWJ4Z3+LPZviHHQtpBjRqW2jtoydzo7nhzzPv7b/i6KaIqI8ojBoBp7e9jQAnx79lLdHvc24iHFWttSynO9f7WjgdiFEKlCBTGCnaZp28cnof8GLV/TAx9We3WcK6RPmSUJ2GasTZX2hs4WVVNXV8/41spD7uasKgOziah4cF83htGKmLthOfnktzvY23NJCbebOAX+bzVzRGpz8RbqbBsVC4jrpbQTQbSr4qm28ts7IsJFsuGoDeVV56NAx4YcJxmsaGl+d+EqJwp/QvuO6Wwlne1uevrQ7APp6A52eXmN2fWuCFIiT2aWEeTmZuaMCTOopg5xe+uUE+eW1AFTW1vPNnjRuHBLJV7tSMWgaM+JCubSnef4khQXY+gZsfNHU7nczeHeA1J2QeRAWTYEJL0Jwb6uZqPh77G3sCXENIb8qH53QYdBMwUG2F+Fq73wjmlP/fpTir7C10dHJ39Ws+lrnAFdmfrSTPWdkCqnRXfxwsNWRX1FLkLsTe84UEublRFqR+Soiv7yGRyZ24cHx0RgMGl4uzesyKCzAroXm7SPLYOj9kNAQ1FaSBt/MhAeOga36HbV1fJ18md55OssTlwNSEG7ucbOVrbI8KqmOBXn9yl6ENBTC6eDrwsAob6MgAGxKyGNm/zDyy2pYfSSTDzcnM2X+NgZ1MM+COiLaD1cHWzyc7JQgWBPbc0J1bOzh9GbzvvIcU4SzwqqsObOGK366gstWXMbSk0tbHPPsoGdZOG4hTwx4gp+m/cSQ4CEtjiutLWV/zn4q6ipavH4hc/GtjaxIXLgXfzw2mvzyGvzcHHj51xPNxmw6mUdKk/OF6joDbo52PDgumu1J+XQPdufBcdGWNFvxZ4x8HFbfZ94uPG1ejtPOWW4pKazKqaJTPPHHE8atoRd3v0iERwSDggaZjRNCMDRkKENDhgJQWVfJ8sTlZFVkMT5iPHEBcWw8u5En/niCKn0VrnauzBs9r9l9LmSUKFgIg0HjYFoxHk52dPKXwWWTewbx2bYzxqpqLvY29Iv0Miu9CeDqYMv94zpz/7jOljZb8Vf0nQMhcTJGIaSvfF9ZCHknZRptZx+45A1w8rS2pRc9e7L3mJ0VAOzK3MXh3MMsP7UcN3s37u19L6PDR5uNuXPDnRzIPQDA1ye+Zv6Y+byy5xWq9FUAlNeV88beN/hh6g+WeRALoETBAhRV1DL7k12czC4D4Kq+obxxVSxx4V58dmN/vtqZiqO9DbeP6EBMsAdf7Uplb4pMr+3n5sB1gyLM7rfpZC6/n8yho58rsweEq4pr1iSwp3w14uwNc1bJOs32rjK4TWF1uno3jxep1Ffy2TGZzT+7IpuHtjzEmulrjLWaE4sSjYIA0htpacJS8irzzO6TVZFFe0KJggVYvDPFKAgA3+9P55qB4fQJ92J0F39GdzGPL/j21kFsPJlLWbWecd0DjNXaAJbtTeOxH0xxg9uTCvh0Tr/WfwjFf4eTl/y5bZ6s3WzrCKOehF5X/fU8RavQN6Avd8beyaL4RegNeq6MvpJqfbXZGL1Bz/6c/fTx70NqaSp+Ts0LITnbOTMhYoJZKc9Loi5pdfstiRIFC5BTWt2sL6Wggr0phZzJr2B89wCzmgm2NjomxLScc//r3eZbSxtO5JBTWk2Au2OL4xVW5OQvsOE5U3vFbRDUS6W+sBJ39b6LuT3nYtAMONk6sfTkUlYkrTAbc7LwJE9tewqDZsDb0ZvRYaPZlLYJABc7F27ucTNRHlGEuYdxLP8YfQP6clPMTdZ4nFZDiYIFuCw2mO/2pqE1nB14u9izdG8au05Lz6Nv96Tx9sxYpseFNpu76WQuL/96grzyGq7oE4KzvfmvzM5G4GCrnMisRk0ZnN0t02h7nxNUmLLNvK0Z5CG0EgWr4WBj8hibHj2dYwXH+Dn5Z5zsnLilxy28f+h949lDYbX87/PziZ+TWZ7JsJBh+DjJ2uj39rnX8sZbCCUKFmBIR18+v7E/S/ek4eFkx9TYYK79bLfZmG92n2VIR18W7UihtLqOq/qGEunjwp1f76e6Tv6RfrE9hRsGR3AwrcjYd+vwDng6K7dUq5B5EL68HKqLAQHjnoNhD5iuB/dpPic4ziKmKf4eO50dLwx9gWcGPYONsCGrPIt5B+aZjcmvyqd/YH8rWWgdlChYiKZnB/nlNdjohFn+IhcHW6Z/sJ3MErnVtGxvGk9e0tX44d9ITmk1Wx8dzbakfDr5u9Ir1LPZv5VVUsWxjFL6hHvi66rKXrQam15uEAQADTa/ArGz4ffnIX4leIbLdBeJa+WZwsjHVHRzG6Rx9RDmHkasXyyH8w4br03pMMVaZlkNJQpWwNfVgVuGR/HRltOAdEUd1MGbLYkmrwa9QeN4Zil2NoK6epN4xIZ54u/uyPS4UAoranlrXQIZxVVcFhvM6C7+/LA/ncd+OEK9QcPeVsfC6+LMzisU/yDlueZtfbVMfXHoa9nOOwFlWfDIKXBwbTlpnqJNsWDMAr6I/4KUkhRGh4/m8k6XW9ski6NEwULUGzRe+uUE3+09i4eTHY9P6srqe4ZxpqCCoR19ONUk/UUjgR6OvD2zNy/+cpzCilqGd/ajg68L1XX1ONjquPbT3ZzIKgXgxwMZfHhtH15Zc8K4AqnVG3htTYIShdYidjZkHTK1I4ZBjnl+fqqLoTBJxjEo2jyejp482PdBa5thVZQoWIhl+9L4fPsZQCa1e/j7w2x+ZBRhBideXXMSRzsdgzv4sPO0zO0e4unEnMGR+Ls7cllsMA9+d5AVhzLZeDKXIA9HXpgWYxSERpbuSzer4QxQUKHKC7Yag+4ARw9IXAO+0TD4Htj2NpzdYRrj4AF+qqaC4sJBiYKF2J9aZNauN2j8fCSLt9cnGLeHPJ3t+GxOP7Ym5vHL0SxGvLGJ2QPCmdEnlBWHMo1zs0qq+S0+GyEwejQB+Lg4MK13CD8cSDf2zejb3KNJ8Q/Se7Z8NTLiMShJh+M/yTOFS94Ae5eW55bnSg+lgB7gp1KXKNoGrSYKQojPgSlArqZpPRr6vIGlQCSQAszUNK2o4dqTwFygHrhP07S1rWWbNegb4cXy/aYPaxudIK2owuy8oLiyjsScMr7clWr8sP9iewo2LZTm1NdrzBkcyaIdKYCszHbnqI6EezvTNdCNw+nFDOrgwzUDwlv1uRSAoR6EDoSQZwdXfv73c5I3wbez5DkEyBTbQ9qvm+OFSkFVAYvjF5NRnsGkqEmMjxhvbZNandZcKSwCFgBfNul7Avhd07RXhRBPNLQfF0J0B2YBMUAwsEEIEa1pWn0r2mdRru4XRlJuOd/tOYunsz2PTerSYlBbQUWt2bd/gNKqOiJ8nI2FeISAq/qFMbSTL1f1CyWzuJohHX1wcZC/zltHqARsFsFggHVPw77Pwc4JRj8NA25teWx1KST/Dq6BEDFYei41jajd9Ar0v0XeR9Em0DSNW9ffyqmiUwCsS13HK8NfafceSa0mCpqmbRVCRJ7TPQ0Y1fB+MbAZeLyh/ztN02qAM0KIJGAAsLO17LM0Op3gX1O6868p3Y19JVV1/Hggw5gCY2S0H9cOiODzJknyAAZ08OGRiV34YkcK+WU1XBEXwpCOvgDEBHsQE+xh0WdRNHB0Gez6QL7XV8Ovj0DEEAiIAX2NTKUtBOQnwecToTJfju05U+ZGakpdpZyjRMFi5FXm8fmxz8mqyGJS5CQmRU0yu36i8IRREBpZnbxaicI/TICmaVkAmqZlCSEak/6EALuajEtv6GuGEOI24DaA8PALe2vEw8mOX+4bzu7TBTja2xAXLvPlzLu6N2+uS6C0Ss81A8OZEReCEILHJ6kDyzZFxv7mfSnbYeNLkPAruIfApW9C4m8mQQApJoPvgZ1NPnC6T1PZVC2IQTNw67pbSS5JBuD3s79TZ6jjso6XcSTvCKmlqXT07NisEpuvk6+1TLYYbeWgufmmOWgt9KFp2sfAxwD9+vVrccyFhI1OMKST/EMrr9Hj6mDLtN4hTOvdoiYqrElOPOxYAHUV0G+uXBXs+dh0Xeiki2pj5bXSdPjhFug4uvm9uk6REc/JG+XKot9cizyCQnKi8IRREBr5+fTPJBYlsih+EQBOtk5MjpzML2fk79PPyY9bet5iaVMtjqVFIUcIEdSwSggCGqN/0oGwJuNCgcxms9spSbll3PvtIU5kldIlwI13Z/ema6C7tc1SNKUiHz6fDDUlsn3iZ5i7HkY9BXs/lR5Go5+C/YvM59WWQ+RwmRyv8Runf3cIGwgVeXLLyDMc7FRCQ0vi4+jTbBXgbu/OkuNLjO0qfRXFtcWsunwVWeVZxAXE4Wjb/n9Pls6ktgqY0/B+DvBTk/5ZQggHIUQU0BnYY2HbrMbjPxw1xhwk5JTx6PcyNXa9QaO0uu6vpiosReJakyAAaPUQ/6MMSgvtL1/+3SBymPk8J2+ImwM3/gL9bpaH0Tf+IlcU8+Pgp7tg8RT46R6LPs7FTqBLIHN7zEU0bFL4O/szs8tM6s/xbamorSDKI4ohIUMuCkGA1nVJ/RZ5qOwrhEgH/g28CiwTQswFzgJXAWiaFi+EWAYcB/TA3e3J8+jvOJZRYt7OLGFTQi5P/nCU7NJqBkR5s+CaPvi7XRx/lG0S96DmffV18M1VphVA4m9w1y65qji+EjwjYNIrchUQ0AOKz8rynPausP0duYpo5OASGPEoeEU0/3cUrcJ9cfdxRacryKrIord/b+xt7BkWMoxtGabstjO7zLSihdahNb2PZv/JpbF/Mv4l4KXWsqctM6SjD5sSTHmPBkX58ODSQ8bo5D1nCnn9twTevCrWWiYqOoyGmCsgviH/fkhfMOhNggBQUyrLcAb2gMJkuS3kHgJl2fDxaCjLNM119Gz+b9RVNu9T/KNU6aswaAZc7GRAYZh7GGHupp3reaPmsTxxOSmlKYwJG8OQkCHWMtVqtJWD5oua167sxb9WHmNfShF9wr24dXgUV3+8y2xMfGbpn8xWWAQh4KpFMPJxqK2U9Zh3vt98XPZRk5sqQOpO6HGlSRBAei0Nf1geMjf6U0QMk9tPilbjvQPv8eXxL6k31HNF5yt4ZtAz6IT5DrqjrSPXdb/ub+91LP8YR/KO0DegL12821d9DCUKbQB/N0c+ul6W1Kys1VNVW0+YtxNphVXGMcM6+VjLPEVTmn5w950jt4nS98p2r6sh64j5+IJTUHK2hft0h5vWmNJh9J3TfIziH2Nv9l4+OfqJsf194vf0D+zP5KjJfzkvvSydDw9/SFZFFhMjJnJ116v5Mv5L3tj3BgACwfNDnueKzle0qv2WRIlCG+LDzcm89/spqvX1DO3oQ6inM2fyKxjX3Z+HJ7SvbyPtAgc3uGUDZB6S3ke+nWHlXZDapOKazk4eNB//yXSG4BEO0ZNkSoyIwVYx/WIjsSixWV9CYQJhbmEczD1Ib7/e9PTraXa93lDPbetvI60sDZDCArDwyELjGA2Nj458pERB8c+TmFPGa7+dNLa3JRXwryndmTtMlng0GDQyi6vwd3PA1kaV32xTNC2cM/IxWXKzKAV0ttDzStj8sqy45hEihaPPDVIQFBZjUNCgZi6oVfoqZv9iOvp8YsATXNvtWmP7ZOFJoyA0si51HXqD3qyvpr59ZSJWotBGSGhIdWHeJ88RTmaXcseS/aQUVBLo7sh7s/swIMrb0iYqzgevSLj3gHQ5Lc2CpddhPDewdYL7DoCrnxUNvDjp6NmRN0a8wadHP6W2vpbrul/HgoMLzMZ8fORjZnedzR/pf5BSmkIP3x7YClv0mkkEwtzCiPGN4YtjXxj7mgpJe0CJQhthUAcfHGx11OhN32RGRsssIP9aeYyUhmR42aXVPP7DEdY+MIL5G0+xNTGPLoFuPDKxi3JZtRZFqeDqb8pbpLORHkbHnsYsMF9fBafWq/MDKzEhcgITIicY2+8ceMfsep2hjud2PMeKJOlhZitsmdppKquSV6E36Il0j+T2XrcT6BJID58eHM0/Sr+AfowMG2nJx2h1lCi0EfzcHPj8xv7MW59IUWUdMcFuZJdWk1NaTWKOeVW2M/kVvLrmBJ9vTwHgcHoJyXkV/HDnxec+Z1WKUuHb2ZAbL4vtXPaudFttxCuy+RzvKIuZp/hrru92PQsOmVYLMzrPYHH8YmNbr+nJKMtgw5UbyKvKI9or2uitdK7AtCeEdm6e5guIfv36afv27bO2Gf8odfUGLn9/u9EF1d3RlgFR3mw4YaoHPLSTD+lFVcZU2o3se2Ycvq4OFrX3omb5zXDsB1Pb0QMePC7zIR3/ScYoVBXC2Z2AkCuEy961mrmK5mxN38of6X/Q2683/QL7MW75OLPr/QL68cWkL/5k9oWLEGK/pmn9WrqmVgpWoKy6jlWHM6msqWdq72AC3E3bPn+cyjOLSSit1hPq5czsAeHsPl1Ar1APnr60O498f9hMFHxc7PFwsrPoc1z05CWYt6tLZDnOP96S7axD0tPorj3yYNlDJTlsS1TWVfLNiW/Ynrmd5aeWc1PMTUyOnMyalDUA6ISO67tfb2UrLY8SBQtTXVfPFR/sIClXbgm9vzmJ1fcMI8zbGZB1W87Fzkbw3NSe5JZW8+qak1z36W66B7sT7OlIZnE1bg62vHh5D+yUV5JliZ4IOcdMbb+ukGoedEjJWdBXgr9yKW5rfJ/4PdsztwOgN+j55OgnfHfpd4wMG0lqaSojw0YS4xMDyPOG1JJUwtzDcLBp36txJQoWZuPJXKMggCzBuXRvGo9MlB8aI7v40TXQzVh4x83BltkNJTXv/uYAe1NkcZaEnDJmDwjj5qFRhHg54WyvfpUWZ9ST8mfCGulqOu55mdPo7HbTGBsHmQNJ0eY4U3KmxT6d0CEa/gdwOO8wD2x6gPyqfLwcvHhj5BsMDBpoaXMthvoksTAtFY6orTfw1Iqj7DpdQGyoJx9d35cdyQWUVtVxWWwwwZ5OlFTVGQWhkU0n83hlei/LGK5ojo0djH1WvhoZ+YRMY5F9VCa/m/gSOLfgPlyaJXMd+XS0nL0KM0aFjeKHU6YzISdbJ9afXc/GsxsBGaQ2b9Q8PjryEflVskhSUU0RL+x6gZ+v+NkqNlsCJQoWZnRXf6IDXI0eRV7OdqQWVLA2PgeA03kV5JZV8/UtgwBYfzyHr3al0i/Si0B3R7Kb1HXu5K8CoNoc7kFwxzYoSAYXP3BsoS7Gmidgz0cymV7kcJj9nQpmswKjwkbxnyH/YXnictzs3ZgZPZP7N99vvG7QDCw5voTU0lSzeWllaRg0Q7O8Se0FJQoWxtHOhhV3DeXnI5lU1NQzJTaICfO2mo3ZnlRAjb6eBRuTmL8xydg/s18oG07kUlhRS4SPM89e1v3c2ysszb7PYU9DkZ2Rj0PnBu+VP1sBpO+D3R+a2il/wP4vYMi9rW+rohlXdL6CcRHjSCtLw9PBE4FAaxJbYiNsGBM2htWnVxv7RoaObLeCAEoUrIKLgy1X9zfVl+7s72q2NRTp44y9jY7Pt5nveW48mcfOJ8eQU1JDqJcTOl1Lm1EKi5G4Dn5+0NT+dpaMWPY8p3b42V0N5w7RsmTnuRSebl07FX/Kr6d/5bmdz1Glr8LfyZ/RYaPZmCa3j2yFLTf2uJE4/zg8HT3Zn7Ofnr49ubdP+xZwJQoW4mh6CS//eoKM4iou7RXEw+OjjTmM/jOtB3d8tZ/Ugkr83Ry4ZXgU5TX6huumWkN2NgIHWxvCfZyt9BQKM5LWm7cNdXB6C8Q1cWM89gMsn4sxsjl6siyy07TATtcprW6qojl19XW8vOdlqvQyG3FuVS5V+irmj5lPamkqw0OH08GjAwCP9X/MmqZaFCUKFqBGX89Ni/aQX14LyGyo7o523DlKbjF0C3Jn08OjWHMsiyd/PMozK+N55deTXNoriGX70o33uWdMJ6vYr/gT/FvYvrNzhg3Pg5OXFIfdH2GW6iJxDcxeBgcWy6I8fW+ETi3WnVK0MqW1pZTUmFc9zCjPYFTYKOsY1EZQomABjmeWGgWhka2JeUZRANDpBB9sTqa0WibfqqitZ3tSAT/cOZiDZ4sZEOVNr1BPea1Gz4msUjoHuKmANWvS5zqZEfXYD2BjL+sprLwTGrNmHvoanM+pgyFsILQvdJloeXsVZvg4+RDnH8eB3APGvr4Bfbll3S2klKQwJnwMD/d7uN3HJZyLEgUL0MHXtVmyu45+Lny8NZm8shqmxobQM9SD9KIqs3lZJVXEhnrSN8Lk0rgzuYDbluyjrFqPk50N78zqzcSYQIs9i6IJNnYw41OY/LoUhXXPmAQBIO8kjPkXpO2RW0sA/W4GF1/r2KtoxrzR8/jg0AecKjrF4ODB/Jj4I1mVWQB8e/JbHG0deajvQ1a20rKo3EcWYuXBDJ5bHU9xZR1DOvpQUF5LQo4MULPVCb65dRArD2XwzW5Tla7RXf2wEToOpRXRP9Kb/0zrwZzP93A8y5QGI9jDkR1Pqu2HNsFvT5qX4gS4YRVUFsiUGBGDocMoq5im+HtOl5xm2sppZn3dvLux7LJlVrKo9VC5j9oAl/cJ4ZKeQVTU6DmVW87Mj3Yar+kNGt/sTuXVGb3wc3Vg95kCYsM8OZhazJ6UPADWHMumrt5AZon5aiKnrAZ9vUEV3mkLDLgVjiyVIgAQNhBW3w9FZwAh3U7/TBSSNpg8lOJuMKXhVliMYJdg3O3dKa01felqb/WXzwf1SWJB7G11eLnY42xv0+yanY2OZ1YeY8muVOoNGlN6BbEnpdBszPakAi7rFWzWN6lHoBKE1qSyEJI3yZ9/h3cHuGcfTHsfZn0Lgb0aBAFAgx3vyaC2czn0LXw1A/Z+Cmseg+9v/CefQHGeONo68vKwl/FzkkWQ+gb05f64+/9mVvtDrRSsQI8QDyZ0D2DdcRnF7OFkR129gZWHMgEorKjlzq8O0D3I3WyrqEeIO/+a0h1/Nwd2nykkNsyDu0crj6RWI2ENfH+TLI5j6whXfg5dL4Wk3+HEalkbod/NslZzI87e8gAa5EHzuZRlNQ9s2/eZeTvxNyjJUFlVrcDIsJGsD1lPhb4Cd/sWotEvApQoWImF1/VlW1I+uWU1jO3qz6yPzbNrphdV8dmcGF5dc5JTueV0C3Lnlem9sLfVce/YzrTv8Jk2wtqnpCAA6Ksb2jWw/CbTmMS1cNOv8r3BABv/AweWSHGInmR+P49wuaUEUFcl6yx4Rsi4habobNX2kRWx0dlctIIAVhIFIUQKUIaMzNJrmtZPCOENLAUigRRgpqZpRX92jwsdnU4wItpUq7dnqIfx4BnA19We4spaeod5Mj0uhJuHReFg23zbSdGKlGU3b+8/p+BK6nbISwS/aDi4BLbNk/2V+VB4Bi6dB6fWyZxIQx+QHkv5p2DRpVAuV4r0ulrWb24UoEF3tZxET6GwANZcKYzWNC2/SfsJ4HdN014VQjzR0H7cOqZZnicmdyW7pJptSfmEeTsxrJMvD39/xHj9eFYZ82f3saKFFyE9r5JBZk3bVed8TxE6UzK71O3m1wx1MpjN3gUOL4WMA3Dp2zIZXqMgABxdDrdugtzj8qA5tG/rPI/iHyO1NJXU0lT6BvTFxc7F2ub8o7Sl7aNpwKiG94uBzVxEouDr6sBXtwykuq4eB1sdY97aYnb9lyOZvHxFD9wcVbCaxbjkTXlucHY3hPWHwfdATrxMZVHbsKrrfjlseU1uAZ1bk1no4PRGOLZctrMOwdLrZO2Fpmj1IAT0nt3KD6T4J/j4yMcsOLgADQ13e3c+mfAJ3X3aT3JKa4mCBqwTQmjAR5qmfQwEaJqWBaBpWpYQwt9KtlkVRzu5ReTuaP6rcbKzwd5WeRlZFFt7GPageV9IHNx/GE5vAkM9rLoH6hui1Z39IHa2jHB29JBFd3a+bz6/LBMG3gFnmoh+QA8I7Nm6z6Jokbr6OnZn78bN3o1Yv9hm13dk7uDVPa+SWZ7JxMiJ3NfnPhYeXmjMpFpaW8qHhz5k/tj5lja91bCWKAzVNC2z4YN/vRDi5PlOFELcBtwGEB4e/jejL1wemtCFW7/cR21DFPSD46PVmUJbwcUHel4Ja582CQJAZR50HCOT3p1YLbOfBvaE3HjTGNcAGHwXeIbB8ZXyoHnIfXKloLAo+VX53LDmBtLK0gAYEzaGd0a/g2j4XVTWVfLI5kcoq5OrwlXJq3CydaKuMTq9gcLq83BXvoCwiihompbZ8DNXCLECGADkCCGCGlYJQUDun8z9GPgYZESzpWy2FPnlNTzy/WG2JubRwc+V6X1CmBATqArqtEVaOgzOjocd75jaAT2gyyXSzdSnE0x5Rx4295gut5tKM8DO0UIGK5ry3cnvjIIAsDFtI/tz9tMvUAb6JhUnGQWhkdMlp+kb0Jf9OfuNfVM7TrWMwRbC4qIghHABdJqmlTW8nwD8B1gFzAFebfj5k6Vtawv8Z/VxNifIKOak3HKW7kszS5ynsDKGetA1rNj63iQDzwpOyXbHMZB10Hx8zjG44iOY9Y35auDnB2WBHpBJ8276TXowKSxGcU1xs76M8gx2HtxJSkkKQ0OG4mrnSnmdKc15b7/e3NjjRpYcX0JKSQqjw0ZzSYdLLGh162ONlUIAsKJhiWYLfKNp2m9CiL3AMiHEXOAscJUVbLM6+1PNvVtSCyrJLa0hIaeMGr2BEdG+ahvJGlSXwMq7IOFXueUz5W0pAnfukOcD9i4QPhh+uMV8ntDJFUVTQShINgkCyLQY29+By8/Jm6RoVS7reBnLE5dTr8maJf5O/nyf+D2H8w4DsC51HbO7zGZn1k4yyjOYGDmRW3vdipOtE3f3vtuaprcqFhcFTdNOA81OdDRNKwAu+sxu/SO9yDhkym8U5evCXV/vZ//ZYgA6+Lmw4s6heDgrLySLsukVONlQrL3ojIx0fvikDDKLGgG2DemVRzwiD6Eb8x8Nvgfcg+HkLzIvkltQy/mPzieNhuIfJdYvli8mfcGKUytws3djdPhobvrtJrMx8QXxrL5i9Z/coX3SllxSFcCzl8VQUVvPlsQ8ugW5c1mvQF78xXQOfzqvgu/3p3HL8A5WtPIiJH2vebu6GJI3w9bXIfOAzHM0/WPw7wa3boY9H8tD5tirpSB8d41pbsIaedaQc8zU17Ram8Ji9PHvQx9/Gf9TUlOCnc7O7CDZ2+niCyJUomAFTuWU8fHW01TU6pk9IJzhnU2Rzd4u9nxyQz/09QbqNY2fDmY2m19SVdesT9HKRAyBjCZp2p19Yce7UhAAso/IAjtT3oHFl8mqagBpu6Ai3/xexakyYV7WYShNhx4z5FaUwqp4OHhwZ+ydzD84Hw0NDwcP7oq9y9pmWRwlChamuLKWqz7aSXGl/GD/7Vg2398x2KyQzuIdKby1LoGqunou7RmEt4s9hRXS9dHRTsflfVSiNIsz6km5JXRitfQauuQN+PJy8zGZB+GPt02CALDvC7laOBffztC1fR1Qtgdu7XUrEyMnGqOVne2c2Zu9l6yKLIYGD8XHyefvb3KBo0TBwmxOyDMKAoBBg9WHs4yikJRbxr9XmfzaVx7K5OHx0ZTX6qmpMzBrQBgd/UzuqRU1ehxsdSp9dmtj7ywPgpseBkcOg6T1pnbEMKgtP2eiBr1mQeoOKG4ooDTwjuZRzQqrsCVtCz+c+gE3ezdu7nEzHT07Eu4eTri7jIF6dvuzrEhaAYCLnQufT/y8XUUvt4QSBQsT4N7cJ93f3VQD9lhGabPrGcVV3D6yIzuTC4zBbBU1eh5ceoj1J3LwdLLjmUu7M6NvaOsZrmjO1Pnw8wOQuhNC+8Fl78gtoeTfTWPCB0PH0XDvAZkV1TVQuZ62EfZk7eHejfcao5O3pG9hzfQ1uNnLVOhpZWlGQQCoqKvg82Of8+bIN61ir6VQomBhBnf0YWpsMKsOy7OCLgFupORXcN2nu5nYI5DRXfyw1Qn0BlNcnrO9DePe3kJ9Q9+jE7tQozcY6zEUVdbxxI9HGB7ti7+bCoSyGO5BcM1S8z7PcFmC8/hP4BUh6y2ADFiLGmF5GxV/ym8pvxkFAeRB847MHYwNH0tFXQVV+qpmcyrrKi1polVQomAF3pvdh3vGdKKsqo6nVhxl2b50ALYl5fPvy7rz/rVxvL0ukbLqOmYPCOeXo1lGQQD4YFMSAzqYe0XU1WucyilXotAW8OkIgT2kQJxbK0HRZghwDmjWl1meyfjl48mvyifOP46evj05mn8UAIFgZpeZljbT4qiNaCsRHeCGh7MdCTnme9CrD2cS6uVEpwBXOgW40TnAlaq6erMxtfUGBncwP/Byc7AlNsyztc2+uKgpg+rm23l/SdpemN9PRix/NUN6JCnaJLO6zqKbdzdje2rHqXx69FPyq6S32IHcA0S4R/Bov0e5ttu1LJq0iFFho6xkreVQKwUr4uvqgL2tznhOAODn5sCsj3dRVq0HYGtiHtcNDCe14KxxzJV9w5g7rAPFlXWsPJiBv7sjT0zuiquD+nX+I2garHncFHXc72aY/JpMcZG4RtZC6HKp3D46lx3vmorlABz+FkY90TyttsLqeDh4sHTKUuIL4nG1c0VDY1XyKrMxycXJvDL8FStZaB3Up4gV8XS25/FJXXl1zQnq6jVCPJ3oH+nN2vgcs3EG4LM5/diWlE9MsAdX9AnBRid4bFJXHpvU1TrGt2cS18pCOI3s+UgeFu/9zORttP45mLsWAmLM59ZVN7+fvubP/62yHHB0V+U3rcRvKb/xQ2KD91HPmwlxDSGjPMN4fXDwYCtaZx2UKFiZucOiuCw2iIyiKnqGeHAko6TZmDAvZ8Z2C2Bst+Z7oIpWoGmkcSOn1pu7n9aWwa4PYNo59RIG3Ca9j7SG1V+HUeDXRVZdS90OwXEQOVSmtVh6nexzcIeJL6uoZguzPWM7j219zNjelbWLD8Z+wIeHPySlVCa7u6u3Cl5TWAF/N0fjAXFcuBfXD4rgq92paBr0jfDiukHtt25Em6TjGNj4Ihg9UwQE9W4+Tl8LW9+AhN9kGc0xT0P0BJi7Hk6skonzel8D+xfD6vtM88b8SwbCNZbvrCmFXx6CLpPBxbeVH07RyPrU9Wbt8rpycipzeG/MexRWFxLsGmwly6yLEoU2yAuX9+D2kR2oqKmnS6Cbtc25+AiJgxmfwvZ3AQ2G3C+L6hxYbEp1YWMPto4N4oHszz4Kd24DR0+ZBsPFF3R28Mdb5vff9k7zOsz1tTJ7qhIFixHmFtasL60sjTHfj6Gstoyu3l2ZP2Y+gS6BVrDOeihRsCC5ZdXohMDX1eFvx4Z6Of9X996RlM+HW5KpqTMwZ0gkl/Zq4RBUcf70vFK+mjJnlTw4LsuBmCvgx9vMr+cchaPfyxTbjRXZuk+TB9RN0eqh0zg4vdnU5+IPwb3/6adQ/AWzus5ia/pWDuQeQCd0XBV9FZ8d+4yKugoAThae5N0D76qDZsU/T71B45HvD7PyUAYCuLp/GC9f0dNY9u+/pbiylp8OyeC3qbHBlNfoufGLvdTWy33svamF+LsPpn/kxZfhsVWxd4H+Teol+HSQQmC87gZHlpmX6Dz+Ewx/2Hy1MPAOGHQ31FbAsR/BIxTG/duUflthEVzsXFg8eTGni0/jYudCpb6SpQnmwYjJxclWss56KFGwAL8czWLFQenRoAHf7kljXLcAdDrBws3J6A0aNw+NMn67L6mqo7Cilihfl2b3Kq6s5ZJ3/yCzRHq5fLQlmTlDIo2CANKjcsPxHCUKrc3Yf8sto8LTYOcsk+QdX9l8XOw1Mpo5ZZs8aG5MhDfqCflSWJUOnjINvaZpRLpHklKaYrw2MmyklayyHkoULMDpvHOTpMGeM4V8tu2MMZ3FgbNFBHkO4dDZYl777SQ1egM9Qzz4/Mb++LmZvkGuOpxpFASAzJJqMoubh+N38GsuKIp/GJ+OMqXF7oUyp1HXhtiFpA1gkHEmRE8G307y1VJxHUWbQQjBgrELmLd/HqmlqYwOG81tvW77+4ntDCUKFmBMV3/e/f0UWoMzi41OoBPm+Y00DVYfymTJrlRj/9GMEt7flMRzU2PILqmmrslqoCkd/Fy5flAEX+9OxaDBxJgAruijkuO1OoVn4ONRsuAOwMEv4fY/5OvkLzL3UcwV1rRQ8V8S4R7BO6PfafHa3uy9LDy8kLLaMq6MvrLdprxQomABeoV68uG1cXz6xxl0OsEdIztgo9Px4Rbz/Uo3R1szoQC5ynjyxyN8tzcNTYMRnX0J9nA0rhaCPRyZGhuMl4s9943tTF29gWBPFQhlEQ4uMQkCQH4iJP4G3h3AUAf1daZ4BcUFTX5VPndtuIvqevnf3Qu7XsDHyYex4e2vgrASBQsxqUcQk3qYPII0TeO6QeF8uycNg6ZxWa9g7hjZkaX70sgpNUXAdvRz5YsdKcb21lP5PDulm7F+wtTYYDyd7QHMtpkUFkC0kDosNx6W3yw9jECeMVz7vUXNUvz35FTkUFFXYTxfOF18mrf3v01qaSpjwsfQ2bOzURAa2Zq+VYmC4p9DCMGLl/dkZr8wfj6ShZ+rA9V6A1/NHcjb6xPJLKnmsl5B2Ns2/+DJKavhycndWrirwqLE3SDzI1UWyLZ/DKQfNAkCwKl1kH9KFdVpw7y651W+PfktBs1AnH8c88fM567f7zKmu/j82OdcFX1Vs3kdPTpa2lSLoLKkWpGzBZVc++luPt56mpd+PcG097cR7OnE7AHh6AR8tzeNvLIaM2EQAiZ0v7iCadosnuFw1y6Y/IZMd3HLerC1bz5OZ9PyfIMBMg/JuAeFVTiad5SvT3yNoWGb70DuARYeXmiW/wjgRMEJ7up9F/Y6+fsdFTZKnSko/nm+359mzIYKkFZYxfL96bz06wlj5tT5G5N4aFxnDqYVU90QmNY3wstaJivOxdUfBjbxUBlyr/Q+qm/YAoyZLs8YEtZIl9SQONlXmiFrPBecAp0tjH4ahj9klUe4mEkvT2/WV1ZXhoudizGIDaCTVyfujL2T67tdT3V9Nb5O7TfyXImCFbFroa7ymfwKs1TaAFml1Xxx0wBLmaU4X+qqYN2/5OGyTyeY9CpEDIa7d8s+zwiInijTWmz4t2lexgEZuFZwSrYNepkuI3YWuF+c+XasxeCgwbjauVJeZ3IbHxI8hFC3UJbEL6GktoSevj25t8+9ALjau+JK+y6c1Oa2j4QQk4QQCUKIJCFEu47smdU/jIAm9Zm7B7kzPS6k2bguASr/UZtk44uw9xMoSYPTm+DbWXJLqDwXStJlv74Gdn9kPm/vp1Ccat6n1UOJ+ZaFovXxdPTks4mfMT5iPAODBjKt4zSe2vYUCw4uwMHGgc8nfM43l36Dv7O/tU21GG1qpSCEsAHeB8YD6cBeIcQqTdOOW9ey1sHf3ZF1D4zkt/gsHO1smBgTiKOdDY9N6sL835Oo0ddzSc8gZg9UWVLbJE1zFwEUnZFJ835+EGOG1ROrm6evsHWA7pdD8kZTn2cEBPdpRWMVf0Z3n+68PeptymrLGLNsDPqGwMPcqly+TfiW/kH9rWyhZWlTogAMAJI0TTsNIIT4DpgGtEtRAPBwtuPq/uYf+neN6sRNQ6Ko1RvwcLazkmWKvyWgh3ntBSdvmeuoSTF4Uv6AMf+Gjf8x9Y94FPrOke1jP4BHmOyzaWv/OV5cFFUXNXM7zSzPtJI11qOt/RWGAGlN2unAQCvZYlWc7G1wsv8TrxVF22D881CUAmm7ZJqLqfNlVPO59JwBXSebDppDGtJm971RvhRtgnD3cLp5d+NE4Qlj3+SoyVa0yDq0NVFoKW2oWYivEOI24DaA8HC1raKwIm6BsiRnZSE4ekjXU2cfSNoIjZ4rva+T6S4A/FVsSVvng3Ef8NHhj2Tuo/DRzOoyy9omWRyhadrfj7IQQojBwHOapk1saD8JoGlaiwnN+/Xrp+3bt8+CFioU50FZtgxa84yQ2VH/xxTpCkVrIYTYr2lav5autbWVwl6gsxAiCsgAZgHXWNckheK/xC1QRjsrFBcgbUoUNE3TCyHuAdYCNsDnmqbFW9kshUKhuGhoU6IAoGnar8Cv1rZDoVAoLkbaXPCaQqFQKKyHEgWFQqFQGFGioFAoFAojShQUCoVCYaRNxSn8twgh8oDUvx144eIL5FvbCMX/jPr9Xbi0999dhKZpfi1duKBFob0jhNj3ZwEmiraP+v1duFzMvzu1faRQKBQKI0oUFAqFQmFEiULb5mNrG6D4f6F+fxcuF+3vTp0pKBQKhcKIWikoFAqFwogSBYVCoVAYUaLQRhFCTBJCJAghkoQQT1jbHsX5I4T4XAiRK4Q49vejFW0JIUSYEGKTEOKEECJeCHG/tW2yNOpMoQ0ihLABEoHxyJKke4HZmqa121rV7QkhxAigHPhS07Qe1rZHcf4IIYKAIE3TDggh3ID9wOUX0397aqXQNhkAJGmadlrTtFrgO2CalW1SnCeapm0FCq1th+K/R9O0LE3TDjS8LwNOIGvHXzQoUWibhABpTdrpXGR/mAqFtRFCRAJ9gN1WNsWiKFFom7RU1Fft8ykUFkII4Qr8ADygaVqpte2xJEoU2ibpQFiTdiiQaSVbFIqLCiGEHVIQvtY07Udr22NplCi0TfYCnYUQUUIIe2AWsMrKNikU7R4hhAA+A05omva2te2xBkoU2iCapumBe4C1yIOuZZqmxVvXKsX5IoT4FtgJdBFCpAsh5lrbJsV5MxS4HhgjhDjU8LrE2kZZEuWSqlAoFAojaqWgUCgUCiNKFBQKhUJhRImCQqFQKIwoUVAoFAqFESUKCoVCoTCiREGhUCgURpQoKBQKhcLI/wFn5OCM715CNAAAAABJRU5ErkJggg==\n", 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\n", 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" ] @@ -440,7 +440,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 17, "id": "8c9e6e52", "metadata": {}, "outputs": [ @@ -450,7 +450,7 @@ "KruskalResult(statistic=20.514054485049883, pvalue=3.5109906089968794e-05)" ] }, - "execution_count": 15, + "execution_count": 17, "metadata": {}, "output_type": "execute_result" } @@ -485,7 +485,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 18, "id": "5b364485", "metadata": {}, "outputs": [ @@ -537,5265 +537,6 @@ "When going \"big\", Bonferroni and Benjamini-Hochberg are more custom, which for the former just correct by the total numbers of comparisons and for the latter adjust the false discovery rate (FDR)." ] }, - { - "cell_type": "markdown", - "id": "f83e7587", - "metadata": {}, - "source": [ - "## Correlation statistics " - ] - }, - { - "cell_type": "markdown", - "id": "c4825db6", - "metadata": {}, - "source": [ - "Because I am lagging the creativity at the moment to make good relatable data, lets simulate some randomly:" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "id": "ff2acc3f", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "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": [ - "s1 = 20 * randn(1000) + 100\n", - "s2 = s1+ (10 * randn(1000) + 50)\n", - "s3 = s2+ (10 * randn(1000) + 50)\n", - "s4 = s3+ (10 * randn(1000) + 50)\n", - "\n", - "plt.hist(s1,alpha=0.5)\n", - "plt.hist(s2,alpha=0.5)\n", - "plt.hist(s3,alpha=0.5)\n", - "plt.hist(s4,alpha=0.5)\n", - "\n", - "plt.xlabel(\"value\")\n", - "plt.ylabel(\"density\")\n", - "plt.axvline(statistics.mean(s1), color=\"blue\")\n", - "plt.axvline(statistics.mean(s2), color=\"red\")\n", - "plt.axvline(statistics.mean(s3), color=\"green\")\n", - "plt.axvline(statistics.mean(s4), color=\"purple\")\n" - ] - }, - { - "cell_type": "markdown", - "id": "228f4fd4", - "metadata": {}, - "source": [ - "This plot shows us that they are reasonably normally distributed. \n", - "These data are now matched - information we are loosing with this visualisation!" - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "id": "cb84e270", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 19, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "df = pd.DataFrame({'s1':s1, 's2':s2})\n", - "sns.scatterplot(x=df['s1'],y=df['s2'])" - ] - }, - { - "cell_type": "markdown", - "id": "09585638", - "metadata": {}, - "source": [ - "And with a regression line + confidence intervals" - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "id": "ab445007", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 20, - "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.regplot(x=df['s1'],y=df['s2'])" - ] - }, - { - "cell_type": "markdown", - "id": "1dd0eede", - "metadata": {}, - "source": [ - "Because we can assume normal distribution for each of the dimensions separately, Pearson correlation is an appropriate correlation statistic. " - ] - }, - { - "cell_type": "code", - "execution_count": 21, - "id": "c9150b2c", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "(0.8945265696608414, 0.0)" - ] - }, - "execution_count": 21, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "st.pearsonr(x=df['s1'],y=df['s2'])" - ] - }, - { - "cell_type": "markdown", - "id": "8f096844", - "metadata": {}, - "source": [ - "Although here we do not have to use non-parametric statistics, lets have a look how it perfroms with Spearman." - ] - }, - { - "cell_type": "markdown", - "id": "9cd66ef2", - "metadata": {}, - "source": [ - "How do the data look like, if we consider ranks?" - ] - }, - { - "cell_type": "code", - "execution_count": 22, - "id": "650cbb5a", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 22, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "df4 = st.rankdata(df[['s1','s2']]).reshape(1000,2)\n", - "df4 = pd.DataFrame(df4)\n", - "sns.scatterplot(x=df4[0],y=df4[1])" - ] - }, - { - "cell_type": "markdown", - "id": "52126c3e", - "metadata": {}, - "source": [ - "Here you can already see that the ranks do not look random...." - ] - }, - { - "cell_type": "code", - "execution_count": 23, - "id": "e367fc5c", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "SpearmanrResult(correlation=0.8860404940404941, pvalue=0.0)" - ] - }, - "execution_count": 23, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "st.spearmanr(a=df['s1'],b=df['s2'])" - ] - }, - { - "cell_type": "markdown", - "id": "aec99f3a", - "metadata": {}, - "source": [ - "What to do with multiple dimensions?" - ] - }, - { - "cell_type": "code", - "execution_count": 24, - "id": "9db701d3", - "metadata": {}, - "outputs": [ - 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