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@alexander-wei
Last active October 5, 2022 21:10
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{
"cells": [
{
"cell_type": "code",
"execution_count": 481,
"id": "5696565e-de9d-40ab-907d-373a4ac42de9",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1296x504 with 8 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"## \"Programming\" posts including those with 0 comments vs. \"Programming\" posts with at least 1 comment"
]
},
{
"cell_type": "code",
"execution_count": 482,
"id": "88049e2a-5fad-47c6-9062-0cedc1657a51",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1296x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig,ax = plt.subplots(1,2, figsize=(18,4),constrained_layout=True); ax = ax.flatten()\n",
"\n",
"U,_ = np.histogram(_X['timebin'])\n",
"\n",
"V,_ = np.histogram(_X.query('num_comments > 0')['timebin'])\n",
"\n",
"ax[0].stem(np.arange(10),V / U)\n",
"ax[0].set_ylim((0,.4))\n",
"ax[0].set_title(\"All posts (see above)\")\n",
"\n",
"U,_ = np.histogram(_X.get(_X.title.str.contains(\"programming\"))['timebin'])\n",
"\n",
"V,_ = np.histogram(_X.query('title.str.contains(\"programming\") & num_comments > 0')['timebin'])\n",
"\n",
"ax[1].stem(np.arange(10),V / U)\n",
"ax[1].set_ylim((0,.4))\n",
"ax[1].set_title(\"'Programming' posts (see below)\")\n",
"fig.suptitle(\"likelihood of any comment\");"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"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": "3.10.5"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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