button_game.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "df = pd.read_csv('/Users/evankolberg/Library/CloudStorage/OneDrive-Personal/Documents/HALnalysis_summer_2024_data/data/button_game/button_data_well_0.csv', skiprows=1, header=None, names=[\n",
    "    'frame number', 'button pressed', 'A ratio threshold', 'B ratio threshold', \n",
    "    'ratio', 'value A', 'avg A', 'SD A', 'value B', 'avg B', 'SD B'\n",
    "])\n",
    "\n",
    "df['frame number'] = df['frame number'].astype(int) / 10000\n",
    "df['time between presses'] = df['frame number'].diff()\n",
    "\n",
    "virtual_space = 0\n",
    "virtual_space_list = []\n",
    "for button in df['button pressed']:\n",
    "    if button == 'B':\n",
    "        virtual_space = min(virtual_space + 1, 10)\n",
    "    elif button == 'A':\n",
    "        virtual_space = max(virtual_space - 1, 0)\n",
    "    virtual_space_list.append(virtual_space)\n",
    "df['virtual space'] = virtual_space_list"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.hist(df['time between presses'].dropna(), bins=50)\n",
    "plt.xlabel('Time between presses (seconds)')\n",
    "plt.ylabel('Frequency')\n",
    "plt.title('Time between presses')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.hist(df['virtual space'], bins=range(12), align='left', rwidth=0.8)\n",
    "plt.xlabel('Virtual Space')\n",
    "plt.ylabel('Number of Visits')\n",
    "plt.title('Visits in Virtual Space')\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "df['button pressed'].value_counts().plot(kind='bar')\n",
    "plt.xlabel('Button Pressed')\n",
    "plt.ylabel('Number of Presses')\n",
    "plt.title('Histogram of Button Presses')\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "HALnalysis",
   "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": "3.11.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}