e4c_expe2/.ipynb_checkpoints/multiples_chocs_figures-checkpoint.ipynb
Johanne Trotin 981d06d34c Expé E4C v6
2025-03-30 12:32:15 +02:00

156 lines
69 KiB
Plaintext

{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 504x180 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"import matplotlib.patches as mpatches\n",
"from matplotlib.colors import colorConverter as cc\n",
"import numpy as np\n",
" \n",
"def plot_mean_and_CI(mean, lb, ub, color_mean=None, color_shading=None):\n",
" # plot the shaded range of the confidence intervals\n",
" plt.fill_between(range(mean.shape[0]), ub, lb,\n",
" color=color_shading, alpha=.5)\n",
" # plot the mean on top\n",
" plt.plot(mean, color_mean)\n",
" \n",
"# generate 3 sets of random means and confidence intervals to plot\n",
"mean0 = np.random.random(50)\n",
"ub0 = mean0 + np.random.random(50) + .5\n",
"lb0 = mean0 - np.random.random(50) - .5\n",
" \n",
"mean1 = np.random.random(50) + 2\n",
"ub1 = mean1 + np.random.random(50) + .5\n",
"lb1 = mean1 - np.random.random(50) - .5\n",
" \n",
"mean2 = np.random.random(50) -1\n",
"ub2 = mean2 + np.random.random(50) + .5\n",
"lb2 = mean2 - np.random.random(50) - .5\n",
" \n",
"# plot the data\n",
"fig = plt.figure(1, figsize=(7, 2.5))\n",
"plot_mean_and_CI(mean0, ub0, lb0, color_mean='k', color_shading='k')\n",
"plot_mean_and_CI(mean1, ub1, lb1, color_mean='b', color_shading='b')\n",
"plot_mean_and_CI(mean2, ub2, lb2, color_mean='g--', color_shading='g')\n",
" \n",
"class LegendObject(object):\n",
" def __init__(self, facecolor='red', edgecolor='white', dashed=False):\n",
" self.facecolor = facecolor\n",
" self.edgecolor = edgecolor\n",
" self.dashed = dashed\n",
" \n",
" def legend_artist(self, legend, orig_handle, fontsize, handlebox):\n",
" x0, y0 = handlebox.xdescent, handlebox.ydescent\n",
" width, height = handlebox.width, handlebox.height\n",
" patch = mpatches.Rectangle(\n",
" # create a rectangle that is filled with color\n",
" [x0, y0], width, height, facecolor=self.facecolor,\n",
" # and whose edges are the faded color\n",
" edgecolor=self.edgecolor, lw=3)\n",
" handlebox.add_artist(patch)\n",
" \n",
" # if we're creating the legend for a dashed line,\n",
" # manually add the dash in to our rectangle\n",
" if self.dashed:\n",
" patch1 = mpatches.Rectangle(\n",
" [x0 + 2*width/5, y0], width/5, height, facecolor=self.edgecolor,\n",
" transform=handlebox.get_transform())\n",
" handlebox.add_artist(patch1)\n",
" \n",
" return patch\n",
" \n",
"bg = np.array([1, 1, 1]) # background of the legend is white\n",
"colors = ['black', 'blue', 'green']\n",
"# with alpha = .5, the faded color is the average of the background and color\n",
"colors_faded = [(np.array(cc.to_rgb(color)) + bg) / 2.0 for color in colors]\n",
" \n",
"plt.legend([0, 1, 2], ['Data 0', 'Data 1', 'Data 2'],\n",
" handler_map={\n",
" 0: LegendObject(colors[0], colors_faded[0]),\n",
" 1: LegendObject(colors[1], colors_faded[1]),\n",
" 2: LegendObject(colors[2], colors_faded[2], dashed=True),\n",
" })\n",
" \n",
"plt.title('Example mean and confidence interval plot')\n",
"plt.tight_layout()\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([0.37747772, 0.07693753, 0.1940634 , 0.15176569, 0.14293999,\n",
" 0.60894227, 0.09985447, 0.41118113, 0.68274936, 0.85285374,\n",
" 0.4541564 , 0.63333913, 0.35620657, 0.51059929, 0.85266049,\n",
" 0.23237531, 0.23283028, 0.47911222, 0.40544178, 0.81126309,\n",
" 0.86811543, 0.35334637, 0.86403165, 0.86593378, 0.25916208,\n",
" 0.21492518, 0.92107401, 0.32022366, 0.93038498, 0.4327189 ,\n",
" 0.24912534, 0.77540019, 0.13939365, 0.79231252, 0.65351859,\n",
" 0.11080199, 0.48425663, 0.7100898 , 0.02117045, 0.41127722,\n",
" 0.16392522, 0.32550661, 0.95452695, 0.42164106, 0.22468096,\n",
" 0.65491521, 0.36794668, 0.78792547, 0.17727132, 0.82141194])"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"mean0"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
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