univariate_mvpa.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import scipy.stats as ss\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [],
   "source": [
    "mu1 = np.zeros((4, 4))\n",
    "mu2 = np.zeros((4, 4))\n",
    "mu1[[1, 1, 2, 2], [1, 2, 1, 2]] = 1.\n",
    "mu2[[1, 1, 2, 2], [1, 2, 1, 2]] = 2."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [],
   "source": [
    "data1 = ss.norm.rvs(size=(100, 4, 4), loc=mu1, scale=1.)\n",
    "data2 = ss.norm.rvs(size=(100, 4, 4), loc=mu2, scale=1.)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1100x1100 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(11, 11))\n",
    "plt.subplot(221)\n",
    "sns.heatmap(data1.mean(axis=0), annot=True, cbar=False, cmap='viridis', vmin=-.25, vmax=2.25)\n",
    "plt.axis('off')\n",
    "plt.title(f'Condition 1 (unnormalized): mean activity across ROI: {data1.mean().round(2)}')\n",
    "plt.subplot(222)\n",
    "sns.heatmap(data2.mean(axis=0), annot=True, cbar=False, cmap='viridis', vmin=-.25, vmax=2.25)\n",
    "plt.title(f'Condition 2 (unnormalized): mean activity across ROI: {data2.mean().round(2)}')\n",
    "plt.axis('off')\n",
    "\n",
    "plt.subplot(223)\n",
    "data1_transformed = ((data1 - data1.mean()) / data1.std())\n",
    "sns.heatmap(data1_transformed.mean(axis=0), annot=True, cbar=False, cmap='viridis', vmin=-.25, vmax=2.25)\n",
    "plt.axis('off')\n",
    "plt.title(f'Condition 1 (z-scored): mean activity across ROI: {data1_transformed.mean().round(2)}')\n",
    "plt.subplot(224)\n",
    "data2_transformed = ((data2 - data2.mean()) / data2.std())\n",
    "sns.heatmap(data2_transformed.mean(axis=0), annot=True, cbar=False, cmap='viridis', vmin=-.25, vmax=2.25)\n",
    "plt.axis('off')\n",
    "plt.title(f'Condition 2 (z-scored): mean activity across ROI: {data2_transformed.mean().round(2)}')\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(200, 4, 4)"
      ]
     },
     "execution_count": 75,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data = np.concatenate((data1, data2), axis=0)\n",
    "data.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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TSupf922dCj19dw3APSH08llJ0r4LJxTk6atexWsTghjGx81TpQPyq3j2PBpUqomkxHmGi81Ffz41Un02f6nNUXzjWFaWGeOFyYwKQaIvxij6YoTDtqjwM6pUv5wO/O/6fzd3N5WrWUpTB39zewe32eTu6W5/6OXjqYQEx5QuIT5BLi62O6o7MlZcfIJ2H45UldIFtW7btRNSldKF9MtfB26yp6OHCgYrim95uKfExSVo74EIVS5fSL/+fu2GZJUfLqQNf6T9hnWy2eTu5ipJOno8Sp1fmuHwdI8ONeTj7aGPp67RiVPn06XuSB8ZOVbs/G2P8j/keJ+h/A/l4eao94nEvuR4B/+o8DOqWLesDvydeM8pN3dXlXu8pKa9Mfumx2r9WhO1H9JMQxqP1b5th1Is0+ejLqr+TGUNqD9KEYfpQyay2WzycHHN7Gogg12Ku6LWv3zssK11oap6JKioXt82W6HRZ1LZE1lFRo8XpjMqBEnJ9xOWqd2QFgrdF6HQfeFqN6SFrly+ojWzrn37x+sz++pU2GlNf2OWJKnt4Gbau+Wgwg5EyN3DTVUaVVT9jk/o495f2Pf5fclWtX+jhU4cPaUjO4+pWIUiatmvqX6akfKdfJH1zPppq0Y+31C7Dkfqn/3hal6rrHIHZdPCtYk3R+zdqoaCA/301hcrJEltn6yg8FPndTA0Su6urnrqsZKq+8hDen3i4sxsBu7AvB+2aOirjbVnf4R27glT0wblFZwzu35Ykfi7f77j48oZlE2jP0r8uuvmjSoo8uR5HT2euAS1bKn8atvsES1clnhd9tXYeB06esrhNS5eSvwGoRu3I2ty1lix4KOlmvDbKLUb0lzr521S8SrF1KhnPX30wmcZ3kZkjO8nrlC7Qc8obH+EQvdHqO2gZ3Tl8lWtmbPRXmbg9F6KCjut6W/OlZS4pLnzW601ttMnijxyUoH/u1Y8+mKMYv53Lnnp466q3fYxjWj5vqIvRNvLXDp3WVdjWAZ9L/B29VBB3xz2x/l8AlU8e26di41WRPQ5vVKynoK9smnoX99LktoWrqLw6LM6dDFxHKmYo6A6P/CYZh/6I1Pqj/Tl7eqhAj7X9QfvQD2ULbfOx0YrIuac+havr2DP7Bq+Y4EsWTpw8YTD/meuXtLVhLhk23HvcNZ44eXrqbzFctuPkbtwLhUtX0gXTl/UyWNmXE5lfAgyd9wP8vD20EuTeihboK92/7FfgxuMckjiggvmlHXdqg4vXy+9PKmHcuYP0pXoqzq2O1RjO07U+nnXOuQnL09Tl3fa6uVJPRQQ7K+osNNa9vkqffP2dxnaPty51X/ulb+ft7o/86hy+vvqQGiU+n3wvSKiLkiScgb4KiQom728u6urXn62pnIF+unK1TgdCj2lVz/4Xht3kMDea9Zs2KPs2bzV+dnHFJTDV4eOnNKgtxco8mTiio2gQD+F5Lz2u7fZEoORPCH+io+3FBZxVp999YsW//R3JrUA6c1ZY8XeLQf0Vovx6j66g54b1koRh07o034zHcIV3F/mvbdEnt4e6vtx18S+9OcBDWk8xrEvFQiSlXDtxoZNX6gvD093DZ/bz+FYX7+zQF+/syCxzIv1JUnv/zzcocz47lO0ivvL3BNKB+TVjOpd7Y9fL/OUJOmHo3/pzb8XKZenn/J4+9ufd7HZ9ErJesrnE6h4K0HHLp3WR7tWa/7hLRled6S/Uv759MWj1+4R0b9UI0nS4uPb9NaOhcrpmU25vQMyqXbICM4aLx6qVFTvrR5mf+7F9zpKklZ+tV7v9TDjQxiblcY7q9R3ae3suuAecq5TtcyuArIQrzPxmV0FZCGeS/7M7Cogi1iVMP+u9n/So3061QT3uvDvHszsKiALcXdj3oFrcjbjfie4ZuXVWbcs45IB9QAAAAAAAMh0hCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIbpldAdybEug5uM7VbK6ZXQVkIZ6ZXQHcN6y42MyuArKIuHg+t8M17m7xmV0FZCGMFbhdjCgAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIbpldgayg44jWatyznvwC/bT7j32a2Heqjvx3PNXyNZpXUbshLZS3WG65ursqbF+EvvtgiVZ/84u9TNnHS6r1gKf1UKWiCsqbQyOaj9PGHzZnRHNwh1rVKq+ODSorZ4CvDoZF6f056/T3vtAUy1Yqnl+fDWyTbHvLN2foSMSZZNuffKS4Rr/QWOv+2q8Bkxane92R/lrWK68OjSorKMBXh0Kj9OE367R9T8r94XrlHsyryW+20cHjp9Rp6DcOz/n5eOrF1tVV65FiyubjpfCT5zRh1i/atP2Qs5qBdMRYgfRyu32pYY+6qt+xpgqXKSBJ2rf1oKYPna09m/fby3j7eanLO21VvVkVBQT7a/9fhzT51Rnau+WA09uD9FE5qKC6PfiYSgfkVbB3NvX9fY5+Dt+TavmKQQXUv3Q9Fc2WU16u7gq7fE7zDm3Vlwd+z8Baw1kqBhZWp6I1VNI/r3J5ZddrW7/Vushdadq3fGBBfVG1uw5cPKF2GyY5uaZwJuYezmF8CPLs68+oZb8meq/rJB3fG672Q1vq3ZXD1LXEK4q+GJPiPudPX9Ss0Qt1bHeoYq/G6dEmlTRgem+dPXFOW1ZulyR5+Xrq4I4jWjlzrUYsGJiRTcIdqP/IQ+rftpbGfvuztu8PU4snyunjV5qr9fAvFXn6Qqr7tRg6XZeir9ofn7kQnaxM7hzZ9ErrJ7Rtb+onLGQt9ao+pFefq6XxM3/Wjr1halannD4c2FztBn2pyKjU+4Ovt4eGv/iUtuw8qhz+Pg7Pubm66OPBLXXm/GW9MWGpTpy+oJCgbLoUczWVoyErYaxAermTvlS+ZmmtnbNB/23cq6sxV9Xm9Wc09qc31aPMa4oKOy1Jeu2LXipcpoDe7TRRUWFnVPe5xzVu1XB1L93PXgZZm7ebh/aci9T3R//Wx1WfvWX56LhYfXtws/aei9Tl+KuqFFRQbz3cRJfjr2r+4W0ZUGM4k5ebu/ZeiNDi49v0XqX2ad7Pz81Tb5drpc1RB5XD08+JNYSzMfdwHuMvh2n+SmPNHr1QG77/U4d3HtP4Lp/I08dTddrXSHWfHev/02+L/tTR3aEKPxip7z9eroM7jqh0jRL2MptX/K2Zw+Zow/d/ZkQzcJc61K+kHzb8qx9+/VeHw0/rg7nrFHnmglrVKn/T/U6fj1bU+cv2fwmW5fC8i82mUT0b6fPFmxR68pwzm4B01K5hJS1Z968Wr/tXh8NO66Nv1ulE1AW1qHvz/jC4Wz2t3LRb/+4PT/Zc05pllN3XS69/uFg79oUpIuqCtu8N0/6jp5zVDKQjxgqklzvpS2M7fqwln67Uge2HdWxPmD7s+ZlsLjZVqFtGkuTh5aHHW1bVF4O+0T+/7lLYgQh9PXK+Ig6dUNNeT2ZU03CXfo3crwm71mpV2O40ld91LkLLj/+r/RdOKuzyOS059o9+O3FAlYMKOrmmyAgbT+7T5L2rtSbyv9vab2iZZ7QibLt2nD3mpJohozD3cB6jQ5DcRYIVlCfQnopJUuzVOO1Y/59KVSue5uNUqFNG+Yvn1T+/pG2JGrIWN1cXlSgUot93HnHY/vvOIyr3QN6b7vvt8Oe04r3nNbl/K1UqXiDZ8z2aPqozF6L1w4Z/07XOcB43VxcVLxKiP/517A9//HtEZR9MvT80fqK08oUEaNrCTSk+/3jFB/Tv/nAN7FxHyye9oG/HdFLnp6vIxWZL1/oj/TFWIL2kV1/y9PGQm7ubLpy+KElydXORq5urYm9YWXYl+qrKVC+R0iFwHyrpn1sP5yigzaeO3Low7ktP56+o/D459Pn+tZldFdwl5h7OZfTlMDlyB0iSzkY6fkJ/5sQ5hRTMedN9fbL7aM7xz+Tu6aaE+AR93Geqtq3e4ayqwokC/Lzl5uqi0+cvOWw/ff6yct5wSUOSU2cvadSXq7TrSKQ83FzVqFpJfdq/lV4YP09//e8+IuWL5dUzNcqo/dtfO70NSD8B2f7XH87d0B/OXVZQQMr9oUBIgPo8W0MvvDNX8QlWimXyBvurUs4C+mnjbvUb/70K5A7UwM515OrioumLuH47K2OsQHq5m750vR5jO+hU6GltW/2PJCn6Yox2btyjDm+20tFdoToTeU6121VXiarFFLovIt3qj6xp7VP9lMPDR64uLpq0a72+O/JXZlcJmaCAT5BeKv6kuv/+heKthMyuDu4Scw/nMioEqdO+hl6d8oL98ZtNxkiSrBsuYbDZJCvlv2Psoi9E68UKA+Xt56UKdcvoxfc7K/xgpHasv70la8g6bvyd36wfHIk8oyOR126A+s/BcIXkyKaODSrrr32h8vF019vdG+r/vlqlc6lcs4esLVl/SGGblHjJ08g+jfTFgk06FnE21eO52Gw6c/6yxk5bpQTL0p7DJ5Qr0FcdGlcmBMliGCuQXtKzLyVpM/Bp1WpbQwNqj1DslVj79nc7TdSAab01J/RzxcfFa9+2Q1oza4MerFj07huCLO25X2bIx81DD+fIr9dK19WRS6e1/DgrUE3iIptGP9xaU/b9rKOXojK7OrgDzD0yllEhyKbFW7T7j2t3Unf3TGx+YO4Anb7uj5eAXP46E3lWN2NZlsIOJH66cmD7YRUsmV/tBjenc92Dzl6MVlx8goL8fR22B2bzUdT5y2k+zr8Hw9Xw0ZKSpPzBAcqXy18fvNTM/nzSZQ+/f/aqWr45g3uEZFFnL/yvPwTc0B/8fXT6XPL+4OPtoVJFc+uhQsHq37mOpMTftYuLTRu+fFWvvLtAW/87plNnLyk+Pt7hvjGHQ08rZ4Cf3FxdFBfPpzZZBWMF0kt69iVJatW/qdoNaaFB9d/WoX+OOjwXfjBS/WuPkJePp3yye+t0xFkNnd1PEYdOpEtbkHWFXj4rSdp3/oSCPH3Vt0RNQhDD+Lh5qnRAfhXPnkeDSjWR9L+5iM1Ffz41Un02f6nNUQczuZa4GeYeGcuoECT6YoyiLzouC40KP6NK9cvpwN+HJUlu7m4qV7OUpg7+JoUj3ITNJndP93SqKTJSXHyCdh+JVNVSBbXur2snn6qlCmn932n/asHiBYJ16mziJRSHw0/r2eFfOjzfq3l1+Xh56P3Za2/6jTPIXHHxCdpzKFJVyhTU+i3X+kOVMoX0y9bk/eFS9BW1H+z4u25Zr7wqlSqoNz5eorD/hV079oWqQbUSDgl+gTyBOnnmIgFIFsNYgfSSnn2p9YCn1WFoSw15apT2bk39j5mYy1cUc/mK/AJ8VblBeX0x6Db7KO5pNtnk4WLU9B6SLsVdUetfPnbY1rpQVT0SVFSvb5ut0OgzqeyJrIK5R8Yy/iz5/YRlajekhUL3RSh0X7jaDWmhK5evaM2sDfYyr8/sq1NhpzX9jVmSpLaDm2nvloMKOxAhdw83VWlUUfU7PqGPe39h38fL10v5iuW2P85dJFgPlC+s86cv6uQxvg0iq/l21Va93b2hdh2O1I6D4WrxRFnlzpFNC9Yl3oyoT4saCg7w04jpKyRJ7epVUNip8zoYFiV3N1c1fLSk6lZ+SAMnL5YkXY2L14Ewx+WIFy5fkaRk25H1zP5xq0b0aqhdByP17/5wPVO7rEKCsun7nxP7Q682NZQr0E9vf7ZCliUdPO74Oz1zPlpXY+Mcti9cvV2t61fQax1ra97Kv1Qgd6C6PF1F837i2u17AWMF0sud9KU2A59W57fbakyHCYo4fFKBIQGSEifNMZcSL7ms/GR5yWbT8T1hylsst54f11HH9oTppxncIPFe4ePqroJ+OeyP8/sEqoR/iM5djVZ49Hn1K1VXId7ZNHjrIklS+yKPKCz6nA5dSDxXVAwqqK4PVtO3B8z9xof7iberhwr4XOsP+bwD9VC23DofG62ImHPqW7y+gj2za/iOBbJk6cBFx1VfZ65e0tWEuGTbce9g7uE8xocgc8f9IA9vD700qYeyBfpq9x/7NbjBKIfvXg4umFPWdTc79PL10suTeihn/iBdib6qY7tDNbbjRK2ft9Fe5qHKRfX+2pH2x70+6CJJWjlzncZ3m+T8huG2rNq8V/6+3urR9FHl9PfVgbAovTLhe0X8b8VGTn9f5Q7KZi/v7uaqV9vUVK4AP12JjdPB0FN6ZcL3+u2fQ5nVBKSj1X/slX82b3Vv/qiCAnx18HiUXhv/vSKi/tcfAnyVO2e2WxzF0YnTF/XKuwv06nO19M3oTjp55qLm/vSXvl6y2RlNQDpjrEB6uZO+1LRXA3l4umvEdwMcjvXVyHn6euR8SZKPv4+6j26vnPmDdOH0RW1Y+IemD52t+Lj4jGkY7lrpwLz66vEu9seDyzWQJH1/5G+9se0H5fLyUx5vf/vzNptNr5Wuq3w+AYq3EnTs0hl9sPNnzT20JaOrDico5Z9PXzza3f64f6lGkqTFx7fprR0LldMzm3J7B2RS7ZARmHs4j8268W4rqajv0trZdcE95Ey3apldBWQhbtz7FdfJNivlrwmGeVYlzL+r/Zl7IMnxBWUyuwrIQrw9Y29dCMYIarIns6uALCQtcw+XDKgHAAAAAABApiMEAQAAAAAARiAEAQAAAAAARiAEAQAAAAAARiAEAQAAAAAARiAEAQAAAAAARiAEAQAAAAAARiAEAQAAAAAARiAEAQAAAAAARiAEAQAAAAAARiAEAQAAAAAARiAEAQAAAAAARiAEAQAAAAAARiAEAQAAAAAARiAEAQAAAAAARiAEAQAAAAAARiAEAQAAAAAARiAEAQAAAAAARiAEAQAAAAAARiAEAQAAAAAARiAEAQAAAAAARiAEAQAAAAAARiAEAQAAAAAARiAEAQAAAAAARiAEAQAAAAAARiAEAQAAAAAARiAEAQAAAAAARiAEAQAAAAAARiAEAQAAAAAARiAEAQAAAAAARiAEAQAAAAAARiAEAQAAAAAARiAEAQAAAAAARiAEAQAAAAAARiAEAQAAAAAARiAEAQAAAAAARiAEAQAAAAAARiAEAQAAAAAARiAEAQAAAAAARiAEAQAAAAAARiAEAQAAAAAARiAEAQAAAAAARiAEAQAAAAAARiAEAQAAAAAARiAEAQAAAAAARiAEAQAAAAAARiAEAQAAAAAARiAEAQAAAAAARiAEAQAAAAAARiAEAQAAAAAARiAEAQAAAAAARiAEAQAAAAAARiAEAQAAAAAARiAEAQAAAAAARiAEAQAAAAAARiAEAQAAAAAARiAEAQAAAAAARiAEAQAAAAAARnDL7Arg3hQ4fVNmVwEAcL+z8VkNEuVv+W9mVwFZiIuHR2ZXAVlIQmZXAPccZhcAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIhCAAAAAAAMAIbpldgayg44jWatyznvwC/bT7j32a2Heqjvx3PNXyDXvUVf2ONVW4TAFJ0r6tBzV96Gzt2bzfoVxQ3hzqMbaDqjSsIA9vD4XuDdf7PT7Vvm0Hndoe3Dln9AUXVxd1equN6rR/XDlyB+h0+Bmt/HKdvh21QJZlOb1NuHO32x9qNK+idkNaKG+x3HJ1d1XYvgh998ESrf7mF3sZbz8vdXmnrao3q6KAYH/t/+uQJr86Q3u3HMiIJuEuOKM/SIwVJuo4vJUa96x7rS+9NP0WY00d1X/uievGmkOa/uZs7dmc8nmj7aBm6j66nRZOWK5PX/vSKW1A+rndc8v1aj37mIbO7qffFv2pt1qMt29vO7iZajSvqgIl8ulK9FX9t3GPpg7+Vsf3hjmrGUgnz73ZQo261ZFfoK92b96vSa/M1JFdoamWb9ittup1qKFCpRLPD/v/OqQZw+dqz5ZrY0iZGiXUul9jPVihiILyBuqt1h9o05KtTm8L7h5zD+cwfiXIs68/o5b9muiTl6apb5XBOh1xVu+uHCZvP69U9ylfs7TWztmggXVG6pXHhurEsVMa+9ObCsqbw17GL8BXH214R/Gx8Xqj0Wj1KN1Pnw34UhfPXsqIZuEOOKsvtB3UTE1eqK9PXpqm7qVe1ReDvlHrAU+r2UsNM6JZuEN30h/On76oWaMX6pXHhuqF8gP008y1GjC9tyo/Wd5e5rUveqlivXJ6t9NEPV+uv7au2q5xq4Y79BlkPc7qD4wV5nl24NNq2a+xPnl5hvpWfUOnI8/p3Z+GpmGs2aiBdd/WK9WHJY41K4YqKG9gsrIPVX5AjXrW1YHtR5zZDKSTOzm3JAkumFPPj++kHb/8l+y5ck+U1uLJP+nlam9o8JPvyNXNVWN/elNePp7OaAbSSZv+TdTi5Uaa1G+mXqo+TGcizmnMsiE37Q/lniiptXM36fUG/6d+NUfoxLFTGr10sMP5wcvHUwf/OapJ/WZmQCuQXph7OI/NSuNH0fVdWju7LpliTujn+n7CMs0d94Mkyd3DTfMipmrq4G+07PPVaTqGi4uLFp6eoU9emqbVXyembN3HdFDpx4rrtZrDnVZ3pC9n9YV3Fg/WmRPn9EGPT+3lhs/vryuXr+rdzhPTvyFIF+nRHyRp8pZ39cfybfpy+Fx5eHlo8fmvNLzZOP25fJu9zJRt4/X7sq2aOWxOurcD6cMZ/UG6/8eKVQnz72r/+q7PplNNso45x6fo+wnLNXf8Ykn/60vhn2vqkFm3MdbYtDBquj55eYZ9rJEkL19PfbplrD7uO10d3miuA9uP3D8rQayEzK6BU9zpucXFxUXvrxupn2auVdkaJeUb4OOwEuRG/jmz67sT0/RazeH659dd6d6OjObi4ZHZVXCKWYc+0aJPVmje+0slJfaHOUcna9qbc7R86po0HcPFxabvIr7Q5H4ztfrbDcme/ynm2/tuJUjC1auZXQWnYO5xZ9Iy9zB6JUjuIsEKyhOoLSu327fFXo3TjvX/qVS14mk+jqePh9zc3XTh9EX7tmpNK2vv1gMaNvc1zYuYqk+3jlPDHnXTtf5IP87sC//+tlsV6pRRvgfzSJKKliukMjVK6M8ft6V2GGSy9OoPFeqUUf7iefXPL4kTTlc3F7m6uSo2xnGwvhJ9VWWql0ifyiPdOas/SIwVprH3pVU77Ntir8Zpxy//qVS1h9J8HE8fz2RjjSS99El3/bH8L/318z/pVmc4z92cW54b3kpnT57Xiulp+8PY199HkpL1GWQduYvkUlCeQG1dfe39G3s1Tv/8ululHn0wzcdJPD+46sJpcz7Vvx8x93Auo+8JkiN3gCTpbOQ5h+1nTpxTSMGcaT5Oj7EddCr0tLZdd9LKUzRYTV98Ugs+XKpZYxaqRJVi6jOhm2KvxDp8aoOswZl9Ye67i+Tr76Ppuz5SQnyCXFxdNOPN2Vo757d0qTvS3930B5/sPppz/DO5e7opIT5BH/eZqm2rE//gib4Yo50b96jDm610dFeozkSeU+121VWiajGF7otwSltw95zVHyTGCtOk2pcizymkUK40H6fHmPbJxppazz6mBysUUZ+qb6RLXeF8d3puKf1YcT3VrY5erDAwza/14vud9c+vu3R457E7qiucL0dIgKTE3//1zpw4p+DbmIt2G9VWUWGntW3Nv+lZPWQw5h7OZVQIUqd9Db065QX74zebjJGkZDentNmktN6vss3Ap1WrbQ0NqD1CsVdirx3DxUV7txzQ9KGzJUkH/j6sQqULqOmLDYzpXFlZRvaFWs8+prodHteYDhN0eOdxFXu4sHp92EVRYWe06qv1d98Y3LX07A/RF6L1YoWB8vbzUoW6ZfTi+50VfjBSO9YnXrP9bqeJGjCtt+aEfq74uHjt23ZIa2Zt0IMVi6Zvo3DHMrI/MFbc3+q0r6FXP+1pf/xm07GSUupLtjTfKLvNgKdVq211Dagz0j7W5MofpN4fdtbgp0Y7jD/IWtLj3OLt56VBX7+sD5+fovNRF9L0ui990l1FyhVUv8eH3VnF4RS12z6mVz7pbn88rPn/Lme64Xdvu43JaOvXmqh2m2oa+OQozgX3GOYeGcuoEGTT4i3a/ce1b+1w90xsfmDuAJ2OOGvfHpDLX2ciz+pWWvVvqnZDWmhQ/bd16J+jDs+dDj+jo7sc79x7dFeoHm/x6J03AOkmI/tCz3EdNffdRVo3d6Mk6fC/RxVcKKfaDm5OCJJFpGd/sCxLYQcSV3Uc2H5YBUvmV7vBze0DT/jBSPWvPUJePp7yye6t0xFnNXR2P0UcOpG+jcIdy8j+wFhxf0vsS/vsj9093SWl0JeCs+vMDZ/2paTVa03UbkgzDXpylMNY82ClIgoMCdDkzWPs21zdXFX2iZJ6pk8DNfLuoIQEvo0ss6XHuSXvA7mVp0iw3lk82L7N5mKTJK24OkddS7yi8IOR9uf6fNxNjzatrP41R+hU6Ol0bA3u1u9Lt2nPn9e+4cneH0L8b+gP2ZOtDklJq1cbqe3rT2twozE69C8rfu41zD0yllEhSPTFGEVfdFxyHhV+RpXql9OBvw9Lktzc3VSuZilNHfzNTY/VesDT6jC0pYY8NUp7tyb/KqGdv+1R/ofyOmzL/1AeRR45eXeNQLrIyL7g5eOZbPKZEJ8gl/9NWpD50rM/JGOz2f/wuV7M5SuKuXxFfgG+qtygvL4YdJvHhdNkZH9grLi/JfalGIdtUeFnVKne9X3JVeWeKKWpQ2bd9Fit+zdVh6EtNKTh6GRjzV8//6ue5QY4bBswrZeO7QnV3HGLCUCyiPQ4txzdHaqeZV9z2Nblnbbyyeatya/O0MljUfbtfSd2V/VmVTSg9ghFHCZoz2pSOz9UrFvW/u1Obu6uKvt4CU178+Y3Tm/Vr7HaD26mN5q+q33bDjmtznAe5h4Zy6gQJCXfT1imdkNaKHRfhEL3havdkBa6cvmK1sy6djfl12f21amw05r+RuIEpc3Ap9X57bYa02GCIg6fVOD/ruGLvhijmEuJJ7MFHy3VhN9Gqd2Q5lo/b5OKVymmRj3r6aMXPsvwNiJtnNUXfl+yVe3faKETR0/pyM5jKlahiFr2a6qfZqTtZmbIHHfSH9oObqa9Ww4q7ECE3D3cVKVRRdXv+IQ+7v2FfZ/KT5aXbDYd3xOmvMVy6/lxHXVsT5h+mrE2w9uItHNWf2CsMM/3E5ar3ZBmCt0frtB9EWo3pFkKfamPToWeti9VbjPgaXV+u43GPPexIg6fUGCIv6SkseaKoi/GJLvXQ8ylGJ2Pusg9ILK42z23xF6JTfY7vXT2siQ5bH9pUg/VaVdDI5qN0+ULMfb5yaVzl3U15v78Jo37waJPVqjt608rdH+EQvdHqN2gZ3Tl8lWtnbPRXmbgtBd1KuyMZgxL/KaP1q81UacRrfRu50mKPHIy2flBSvzmqLwP5LYfI3fhXCparpAunLnoEJwha2Hu4TzGhyBzx/0gD28PvTSph7IF+mr3H/s1uMEoh2Q2uGBOWdd9itK0VwN5eLprxHeOn7p8NXKevh6Z+JU8e7cc0Fstxqv76A56blgrRRw6oU/7zXTotMhanNUXPnl5mrq801YvT+qhgGB/RYWd1rLPV+mbt7/LmIbhjtxJf/Dy9dLLk3ooZ/4gXYm+qmO7QzW240Stn3dt8uLj76Puo9srZ/4gXTh9URsW/qHpQ2crPi4+Q9uH2+Os/sBYYZ654xcn9qVPul/rS0+NduxLBYJkJVz7StimveonjjXz+zsc66uR8/U1Y8k97U7OLWnxdK8GkqT314102D6+6ySt/HLdXdcbzjHv/aXy8PZQ3wldEvvD5gMa0mSsQ3/IVSDIYXVXkxfqycPTXcPmvOpwrK9HLdA3oxZKkh6qVFTjV75pf+7F8R0lSSu//kXv9zTnD997DXMP57FZabwTV32X1s6uCwAAuI+sSph/V/vXd302nWqCe56VcOsyMIaLh0dmVwFZSMJVVjfhmrTMPVwyoB4AAAAAAACZjhAEAAAAAAAYgRAEAAAAAAAYgRAEAAAAAAAYgRAEAAAAAAAYgRAEAAAAAAAYgRAEAAAAAAAYgRAEAAAAAAAYgRAEAAAAAAAYgRAEAAAAAAAYgRAEAAAAAAAYgRAEAAAAAAAYgRAEAAAAAAAYgRAEAAAAAAAYgRAEAAAAAAAYgRAEAAAAAAAYgRAEAAAAAAAYgRAEAAAAAAAYgRAEAAAAAAAYgRAEAAAAAAAYgRAEAAAAAAAYgRAEAAAAAAAYgRAEAAAAAAAYgRAEAAAAAAAYgRAEAAAAAAAYgRAEAAAAAAAYgRAEAAAAAAAYgRAEAAAAAAAYgRAEAAAAAAAYgRAEAAAAAAAYgRAEAAAAAAAYgRAEAAAAAAAYgRAEAAAAAAAYgRAEAAAAAAAYgRAEAAAAAAAYgRAEAAAAAAAYgRAEAAAAAAAYgRAEAAAAAAAYgRAEAAAAAAAYgRAEAAAAAAAYgRAEAAAAAAAYgRAEAAAAAAAYgRAEAAAAAAAYgRAEAAAAAAAYgRAEAAAAAAAYgRAEAAAAAAAYgRAEAAAAAAAYgRAEAAAAAAAYgRAEAAAAAAAYgRAEAAAAAAAYgRAEAAAAAAAYgRAEAAAAAAAYgRAEAAAAAAAYgRAEAAAAAAAYgRAEAAAAAAAYgRAEAAAAAAAYgRAEAAAAAAAYgRAEAAAAAAAYwWZZlpXZlQAAAAAAAHA2VoIAAAAAAAAjEIIAAAAAAAAjEIIAAAAAAAAjEIIAAAAAAAAjEIIAAAAAAAAjEIIAAAAAAAAjEIIAAAAAAAAjEIIAAAAAAAAjEIIAAAAAAAAj/D+oB6S0XIdVMwAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 1100x1100 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data = np.concatenate((data1, data2), axis=0)\n",
    "plt.figure(figsize=(11, 11))\n",
    "plt.subplot(221)\n",
    "sns.heatmap(data1.mean(axis=0), annot=True, cbar=False, cmap='viridis', vmin=-.25, vmax=2.25)\n",
    "plt.axis('off')\n",
    "plt.title(f'Condition 1 (unnormalized): mean activity across ROI: {data1.mean().round(2)}')\n",
    "plt.subplot(222)\n",
    "sns.heatmap(data2.mean(axis=0), annot=True, cbar=False, cmap='viridis', vmin=-.25, vmax=2.25)\n",
    "plt.title(f'Condition 2 (unnormalized): mean activity across ROI: {data2.mean().round(2)}')\n",
    "plt.axis('off')\n",
    "\n",
    "plt.subplot(223)\n",
    "data1_transformed = ((data1 - data.mean()) / data.std())\n",
    "sns.heatmap(data1_transformed.mean(axis=0), annot=True, cbar=False, cmap='viridis', vmin=-.25, vmax=2.25)\n",
    "plt.axis('off')\n",
    "plt.title(f'Condition 1 (z-scored): mean activity across ROI: {data1_transformed.mean().round(2)}')\n",
    "plt.subplot(224)\n",
    "data2_transformed = ((data2 - data.mean()) / data.std())\n",
    "sns.heatmap(data2_transformed.mean(axis=0), annot=True, cbar=False, cmap='viridis', vmin=-.25, vmax=2.25)\n",
    "plt.axis('off')\n",
    "plt.title(f'Condition 2 (z-scored): mean activity across ROI: {data2_transformed.mean().round(2)}')\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "base",
   "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": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}