tutorials/ztest.ipynb

{
 "cells": [
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Exploring a one sample Z-Test\n",
    "\n",
    "A basic introduction to `imprint`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from imprint.nb_util import setup_nb\n",
    "\n",
    "# setup_nb is a handy function for setting up some nice plotting defaults.\n",
    "setup_nb()\n",
    "import scipy.stats\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "import imprint as ip\n",
    "from imprint.models.ztest import ZTest1D"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 414,
       "width": 554
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 414,
       "width": 554
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "\n",
    "xs = np.linspace(-5, 5, 100)\n",
    "pdf = scipy.stats.norm.pdf(xs)\n",
    "plt.plot(xs, pdf)\n",
    "plt.show()\n",
    "pdf = scipy.stats.norm.pdf(xs, loc=2)\n",
    "plt.plot(xs, pdf)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 414,
       "width": 546
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(xs, scipy.stats.norm.cdf(xs))\n",
    "plt.axhline(0.975, color=\"r\")\n",
    "plt.axhline(0.025, color=\"r\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "true_drug_effect = 0\n",
    "K = 10000\n",
    "samples = scipy.stats.norm.rvs(loc=true_drug_effect, size=K)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.0242"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.sum(samples > 2) / len(samples)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.02275013194817921"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "1 - scipy.stats.norm.cdf(2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2.59"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "100 * np.sum(samples > 1.96) / len(samples)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "def apply_statistical_test(true_drug_effect, K=10000):\n",
    "    samples = scipy.stats.norm.rvs(loc=true_drug_effect, size=K)\n",
    "    number_of_rejections = np.sum(samples > 1.96)\n",
    "    positive_rate = number_of_rejections / samples.shape[0]\n",
    "    return positive_rate"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "true_effect = np.linspace(-2, 2, 8)\n",
    "positive_rate = np.array([apply_statistical_test(tf) for tf in true_effect])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 435,
       "width": 565
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(true_effect, 100 * positive_rate, \"ko\")\n",
    "plt.ylabel(r\"Positive Rate (\\%)\")\n",
    "plt.xlabel(\"True Effect\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 414,
       "width": 549
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "positive_rate = np.array([apply_statistical_test(0) for i in range(100)])\n",
    "plt.hist(positive_rate, bins=20)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "g = ip.cartesian_grid(\n",
    "    theta_min=[-1], theta_max=[1], n=[100], null_hypos=[ip.hypo(\"x < 0\")]\n",
    ")\n",
    "# lam = -1.96 because we negated the statistics so we can do a less than\n",
    "# comparison.\n",
    "lam = -1.96\n",
    "K = 8192\n",
    "rej_df = ip.validate(ZTest1D, g=g, lam=lam, K=K)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>id</th>\n",
       "      <th>active</th>\n",
       "      <th>parent_id</th>\n",
       "      <th>theta0</th>\n",
       "      <th>radii0</th>\n",
       "      <th>null_truth0</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>4284698819469508608</td>\n",
       "      <td>True</td>\n",
       "      <td>0</td>\n",
       "      <td>-0.99</td>\n",
       "      <td>0.01</td>\n",
       "      <td>True</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>4284698819469508609</td>\n",
       "      <td>True</td>\n",
       "      <td>0</td>\n",
       "      <td>-0.97</td>\n",
       "      <td>0.01</td>\n",
       "      <td>True</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>4284698819469508610</td>\n",
       "      <td>True</td>\n",
       "      <td>0</td>\n",
       "      <td>-0.95</td>\n",
       "      <td>0.01</td>\n",
       "      <td>True</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4284698819469508611</td>\n",
       "      <td>True</td>\n",
       "      <td>0</td>\n",
       "      <td>-0.93</td>\n",
       "      <td>0.01</td>\n",
       "      <td>True</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>4284698819469508612</td>\n",
       "      <td>True</td>\n",
       "      <td>0</td>\n",
       "      <td>-0.91</td>\n",
       "      <td>0.01</td>\n",
       "      <td>True</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                    id  active  parent_id  theta0  radii0  null_truth0\n",
       "0  4284698819469508608    True          0   -0.99    0.01         True\n",
       "1  4284698819469508609    True          0   -0.97    0.01         True\n",
       "2  4284698819469508610    True          0   -0.95    0.01         True\n",
       "3  4284698819469508611    True          0   -0.93    0.01         True\n",
       "4  4284698819469508612    True          0   -0.91    0.01         True"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "g.df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>tie_sum</th>\n",
       "      <th>tie_est</th>\n",
       "      <th>tie_cp_bound</th>\n",
       "      <th>tie_bound</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>11</td>\n",
       "      <td>0.001343</td>\n",
       "      <td>0.002622</td>\n",
       "      <td>0.002713</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>11</td>\n",
       "      <td>0.001343</td>\n",
       "      <td>0.002622</td>\n",
       "      <td>0.002713</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>15</td>\n",
       "      <td>0.001831</td>\n",
       "      <td>0.003262</td>\n",
       "      <td>0.003374</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>15</td>\n",
       "      <td>0.001831</td>\n",
       "      <td>0.003262</td>\n",
       "      <td>0.003374</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>15</td>\n",
       "      <td>0.001831</td>\n",
       "      <td>0.003262</td>\n",
       "      <td>0.003374</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   tie_sum   tie_est  tie_cp_bound  tie_bound\n",
       "0       11  0.001343      0.002622   0.002713\n",
       "1       11  0.001343      0.002622   0.002713\n",
       "2       15  0.001831      0.003262   0.003374\n",
       "3       15  0.001831      0.003262   0.003374\n",
       "4       15  0.001831      0.003262   0.003374"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rej_df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 435,
       "width": 570
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "g_rej = g.add_cols(rej_df)\n",
    "g_rej.df.sort_values(\"theta0\", inplace=True)\n",
    "true_err = 1 - scipy.stats.norm.cdf(-g_rej.get_theta()[:, 0] - lam)\n",
    "\n",
    "plt.plot(\n",
    "    g_rej.df[\"theta0\"],\n",
    "    100 * g_rej.df[\"tie_est\"],\n",
    "    \"k--o\",\n",
    "    markersize=2,\n",
    "    label=\"Monte Carlo estimate\",\n",
    ")\n",
    "plt.plot(\n",
    "    g_rej.df[\"theta0\"],\n",
    "    100 * g_rej.df[\"tie_cp_bound\"],\n",
    "    \"b--o\",\n",
    "    markersize=2,\n",
    "    label=\"Clopper-Pearson Bound\",\n",
    ")\n",
    "plt.plot(\n",
    "    g_rej.df[\"theta0\"],\n",
    "    100 * g_rej.df[\"tie_bound\"],\n",
    "    \"r--o\",\n",
    "    markersize=2,\n",
    "    label=\"Tilt Bound\",\n",
    ")\n",
    "plt.plot(\n",
    "    g_rej.df[\"theta0\"],\n",
    "    100 * true_err,\n",
    "    \"r-*\",\n",
    "    linewidth=2.5,\n",
    "    markersize=2,\n",
    "    label=\"True Type I Error\",\n",
    ")\n",
    "plt.axhline(2.5, color=\"k\")\n",
    "plt.axvline(0, color=\"k\")\n",
    "plt.ylim([0, 2.6])\n",
    "plt.legend(fontsize=11, bbox_to_anchor=(0.05, 0.94), loc=\"upper left\")\n",
    "plt.xlabel(\"$z$\")\n",
    "_ = plt.ylabel(r\"Type I Error (\\%)\")"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "inputs:\n",
    "- the experimental design\n",
    "- the decision rule\n",
    "- the number of simulations to run\n",
    "- the values of the statistical\n",
    "- validation: the decision rule threshold\n",
    "- calibration: the goal false positive rate\n",
    "\n",
    "output:\n",
    "- validation: the upper bound on false positive rate \n",
    "- calibration: the tuning parameter value which yield guaranteed goal false positive rate"
   ]
  }
 ],
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