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@kratsg
Created August 5, 2022 14:20
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{
"cells": [
{
"cell_type": "markdown",
"id": "composite-league",
"metadata": {},
"source": [
"# Better Than Zero?"
]
},
{
"cell_type": "code",
"execution_count": 56,
"id": "caroline-valuable",
"metadata": {},
"outputs": [],
"source": [
"import ipywidgets as widgets\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import pyhf\n",
"pyhf.__version__\n",
"from pyhf.contrib.viz import brazil"
]
},
{
"cell_type": "code",
"execution_count": 67,
"id": "surgical-logic",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 756x504 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"poi_values = np.linspace(0.1, 5, 50)"
]
},
{
"cell_type": "code",
"execution_count": 69,
"id": "controlled-shore",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "2dcc4d7fa84f4c268758fcb841119393",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"interactive(children=(FloatSlider(value=1.0, description='signal', max=5.0), FloatSlider(value=1.0, descriptio…"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"@widgets.interact(signal=(0, 5, 0.1), background=(0, 5, 0.1), observations=(0, 10, 1))\n",
"def compute_upperlimits(signal=1.0, background=1.0, uncertainty=0.0, observations=0.0):\n",
" model = pyhf.simplemodels.uncorrelated_background([signal], [background], [uncertainty])\n",
" observations = [0.0] + model.config.auxdata\n",
"\n",
" obs_limit, exp_limits, (scan, results) = pyhf.infer.intervals.upperlimit(\n",
" observations, model, poi_values, level=0.05, return_results=True\n",
" )\n",
"\n",
" print(f\"Upper limit (obs): μ = {obs_limit:.4f}\")\n",
" print(f\"Upper limit (exp): μ = {exp_limits[2]:.4f}\")\n",
" return poi_values, results"
]
},
{
"cell_type": "code",
"execution_count": 70,
"id": "soviet-assurance",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 756x504 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots()\n",
"fig.set_size_inches(10.5, 7)\n",
"ax.set_title(\"Hypothesis Tests\")\n",
"\n",
"artists = brazil.plot_results(poi_values, results, ax=ax)"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"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": "3.8.6"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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