{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "8efd66a5-d9c0-4873-8542-7b03f66cd158",
   "metadata": {},
   "source": [
    "# Simulation based hypothesis testing\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c8caefd0-df8c-4757-be6e-844d6961a84d",
   "metadata": {
    "tags": []
   },
   "source": [
    "### Notebook setup"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "fee7a1de-830b-4e63-8a15-526bd95f30e9",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "\u001b[1m[\u001b[0m\u001b[34;49mnotice\u001b[0m\u001b[1;39;49m]\u001b[0m\u001b[39;49m A new release of pip is available: \u001b[0m\u001b[31;49m24.3.1\u001b[0m\u001b[39;49m -> \u001b[0m\u001b[32;49m25.0.1\u001b[0m\n",
      "\u001b[1m[\u001b[0m\u001b[34;49mnotice\u001b[0m\u001b[1;39;49m]\u001b[0m\u001b[39;49m To update, run: \u001b[0m\u001b[32;49mpip install --upgrade pip\u001b[0m\n",
      "Note: you may need to restart the kernel to use updated packages.\n"
     ]
    }
   ],
   "source": [
    "# Install stats library\n",
    "%pip install --quiet ministats "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "ad1db701-1cda-4156-b360-9a5ea8cd389d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Figures setup\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "\n",
    "plt.clf()  # needed otherwise `sns.set_theme` doesn't work\n",
    "sns.set_theme(\n",
    "    style=\"whitegrid\",\n",
    "    rc={'figure.figsize': (7, 2)},\n",
    ")\n",
    "# High-resolution figures please\n",
    "%config InlineBackend.figure_format = 'retina'\n",
    "\n",
    "def savefig(fig, filename):\n",
    "    fig.tight_layout()\n",
    "    fig.savefig(filename, dpi=300, bbox_inches=\"tight\", pad_inches=0)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "27a16fef-02c1-407c-abd4-bd5da286b9a3",
   "metadata": {},
   "source": [
    "## Introduction"
   ]
  },
  {
   "attachments": {
    "9a780119-4d47-42fc-9140-a0e71fc6a841.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "id": "cb50f51c-e8fd-4738-ba35-6cb0541cedef",
   "metadata": {},
   "source": [
    "### Statistical inference\n",
    "\n",
    "The goal of most statistical analysis is inferential statistics, which is the process of making inferences about a population based on a sample from that population. We usually assume the population is described by some probability distribution, which is a mathematical description for the type of individuals in the population.\n",
    "\n",
    "For example, the population of IQ scores in the is know to follow the normal distribution with mean $\\mu$ (read miu) and standard deviation $\\sigma$ (sigma), which we denote as $\\mathcal{N}(\\mu,\\sigma)$. By convention, we denote the parameters of the population using Greek letters. You can think of the parameters $\\mu$ and $\\sigma$ as control knobs on the distribution that determine its shape.\n",
    "\n",
    "It is usually prohibitively expensive to measure the IQ score of every individual in the population, so instead we obtain a random sample of individuals and measure their IQ scores. The goal of statistical inference is to learn information about the population based on a sample, as illustrated by the backward arrow in Figure 1. Specifically, we want to find the population parameters $\\mu$  and $\\sigma$.\n",
    "\n",
    "![parameter-population-sample-overview.png](attachment:9a780119-4d47-42fc-9140-a0e71fc6a841.png)\n",
    "**Figure 1**. Illustration of the random selection mechanism which generates the data sample\n",
    "and the statistical inference process, which tries to guess the population parameters.\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e67786dd-9095-4952-b513-b132a7ac048e",
   "metadata": {},
   "source": [
    "## Example data analysis scenario\n",
    "\n",
    "We'll use an example to ground the discussions in the rest of the notebook. "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4b894323-c3d4-46c8-91d1-f61f53a48cf8",
   "metadata": {},
   "source": [
    "### IQ scores data"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7e5e1b44-5e0c-4a06-b03b-9a4ce1ca37d2",
   "metadata": {},
   "source": [
    "Consider the following dataset,\n",
    "which consists of IQ scores of 30 students who took a \"smart drug\" ☕.\n",
    "The IQ scores are recorded in the following list."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "adcf6a8f-b689-4463-a03f-40a943c17b9a",
   "metadata": {},
   "outputs": [],
   "source": [
    "iqs = [ 95.7, 100.1,  95.3, 100.7, 123.5, 119.4,  84.4, 109.6,\n",
    "       108.7,  84.7, 111.0,  92.1, 138.4, 105.2,  97.5, 115.9,\n",
    "       104.4, 105.6, 104.8, 110.8,  93.8, 106.6,  71.3, 130.6,\n",
    "       125.7, 130.2, 101.2, 109.0, 103.8,  96.7]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "d149af8e-45da-4217-ab02-5768baf891b7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "30"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# sample size (n)\n",
    "len(iqs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "a2ece6b4-df3b-447b-81f6-110bba918f79",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x200 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 184,
       "width": 684
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import seaborn as sns\n",
    "sns.histplot(iqs, bins=range(50,150,5));\n",
    "\n",
    "savefig(plt.gcf(), \"figures/histplot_iqs.png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0979db35-eb79-48d6-b360-19b3bf893989",
   "metadata": {},
   "source": [
    "### Descriptive statistics"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "f9b891cc-4888-42a2-9f2a-d1b231693555",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "105.89"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from statistics import mean\n",
    "mean(iqs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "e61f0c53-9f84-4c10-80f5-d2facb5d0ba5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "14.658229417469641"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from statistics import stdev as std\n",
    "std(iqs)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "23595772-62de-4dc2-8729-a182ada007b7",
   "metadata": {},
   "source": [
    "### Statistical inference by eyeball\n",
    "\n",
    "Move the sliders to choose the model parameters that best match the data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "17f028f6-212d-4960-a855-bd24c8adf7e2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "7d7ceadbaaba414ca97463f2b7c4a7aa",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "interactive(children=(IntSlider(value=100, description='mu', max=150, min=50), IntSlider(value=21, description…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "from scipy.stats import norm\n",
    "from ipywidgets import interact\n",
    "\n",
    "def plot_pop_and_sample(mu, sigma):\n",
    "    # 1. Plot histogram of sample\n",
    "    ax = sns.histplot(x=iqs, stat=\"density\", bins=range(50,150,5), label=\"data\")\n",
    "    # 2. Plot probability density function of population model\n",
    "    rvX = norm(mu, sigma)\n",
    "    xs = np.linspace(50, 150, 1000)\n",
    "    fXs = rvX.pdf(xs)\n",
    "    sns.lineplot(x=xs, y=fXs, ax=ax, c=\"C0\", label=\"model\")\n",
    "    print(f\"current population model guess: X ~ N(mu={mu}, sigma={sigma})\")\n",
    "\n",
    "interact(plot_pop_and_sample, mu=(50,150,1), sigma=(3,40,1));"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "29a0d838-f30d-4386-a70d-c72eae0d035e",
   "metadata": {},
   "source": [
    "### Research questions\n",
    "\n",
    "The main research question we want to answer based on the IQ scores data is whether the smart drug had an effect on or not. We know the average IQ score is $\\mu=100$ for the population in general (not the individuals from this experiment) with standard deviation $\\sigma=15$ IQ points. If we compare the mean IQ score we observed in the sample of students who took the smart drug $\\overline{\\tt{iqs}}=105.89$  to people in the mean of the general population $\\mu=100$, we see the students on the smart drug did better, which suggests the drug is effective.\n",
    "\n",
    "On the other hand, the standard deviation of IQ scores is 15, which means that variations of +/- 15 around the mean of 100 are common, so perhaps observing a difference between observed mean and the theoretical mean of 5.89 is not uncommon.\n",
    "\n",
    "This is precisely the situation why we need the tools of statistical inference. We'll use the hypothesis testing procedure to calculate how \"surprising\" it is to observe a difference of 5.89 from the expected population mean, and thus provide a principled answer to the question if the smart drug is effective."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3df4b0fd-4c27-42e6-89a3-3e22860291b0",
   "metadata": {},
   "source": [
    "Before we get to the hypothesis testing procedure, we'll need to introduce some prerequsite concepts: probability models and sampling distribributions.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d7fa485d-69ad-4e0f-a648-c72c163e42da",
   "metadata": {},
   "source": [
    "## Probability model for the general population\n",
    "\n",
    "Let's now build the specific probability model we need for the analysis of the students' IQ scores.\n",
    "We know the IQ scores in the general population has mean $\\mu=100$ and standard deviation $\\sigma=15$.\n",
    "We will denote the general population as $X \\sim \\mathcal{N}(\\mu=100,\\sigma=15)$.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "7cbe67f8-eb29-4509-8347-c8984172ba66",
   "metadata": {},
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "<Figure size 700x200 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 185,
       "width": 680
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "mu = 100\n",
    "sigma = 15\n",
    "rvX = norm(mu, sigma)\n",
    "\n",
    "xs = np.linspace(30, 170)\n",
    "ax = sns.lineplot(x=xs, y=rvX.pdf(xs));\n",
    "ax.set_xlabel(\"$x$\")\n",
    "ax.set_ylabel(\"$f_{X}$\")\n",
    "\n",
    "savefig(plt.gcf(), \"figures/samples_from_rvX_n30.png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "978a981a-2f47-4710-b665-d68de179144f",
   "metadata": {},
   "source": [
    "This is the distribution of IQ scores we can expect to observe for the general population."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4f980b4d-9ad6-4f24-9fdd-3b7165e2c695",
   "metadata": {},
   "source": [
    "### Random samples from the general population"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fd3a00ca-0fd7-4d58-bb4e-41505a113e74",
   "metadata": {},
   "source": [
    "We'll use the notation $\\mathbf{X} = (X_1, X_2, \\ldots, X_{30})$ to describe a *random sample* from the general population.\n",
    "\n",
    "To get a idea of what these random samples look like,\n",
    "we can generate $10$ samples $\\mathbf{x}_1, \\mathbf{x}_2, \\mathbf{x}_3, \\ldots, \\mathbf{x}_{10}$ of size $n=30$ from $X \\sim \\mathcal{N}(\\mu=100, \\sigma=15)$ as follows."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "bd5618ef-f72a-40ff-90da-73d7819339c9",
   "metadata": {},
   "outputs": [
    {
     "data": {
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c7b28vLw86h81ZmwDQGZx3gac5d5779W9994b+fl73/uebrjhhpjPeOiL8zKQeZ988omWLFmi9evXR33BPpZ169ZFXh988MGR106by1lVfOjq6tLGjRsl7a7WDFbVlXbfB6umpkaStHLlSn366acx13vmmWcil7DMnDnTpIgBhH35y1+OvP7jH/8Ydz3DMPTwww9Hfp4yZYok5jLgFEOHDtWzzz6r119/Xc8880zc9R5++OHI/Se//vWvR37PXAbcwev1Rq4ybmho0BtvvBFzvX/+85968803Je2+5UPvP36YsQ0AmcV5G3CONWvW6Pbbb4/8fOmll+qHP/xhwu/nvAxk3tSpUyOvH330UfX09MRcr7u7Ww8++GDk5xkzZkReO20uZ9URYtOmTQoGg5IUuX1DIs4991xJUiAQ0GWXXabW1tao5Rs3btRNN90kafcfVc444wxzAgYQUVtbq/3220/S7svM7rnnnn7rGIahW2+9NXKrlilTpkRd4cRcBjJv9OjRmjhxoiTp6aefjvlBp66uTnfccYckacyYMfra174WtZy5DLjDt771LeXl7X6E3FVXXaVt27ZFLf/ss8909dVXS9p9m8Rvf/vblmwDQGZx3gYyr6urS9dcc03kdsbf+ta3dNFFFyW9Hc7LQGYdcMABmj59uiTpgw8+0M033xx1m3Jpd+Hhqquu0nvvvSdJ+s///E9NmjQpah0nzeWseuD0Rx99FHldWVmZ8PumTJmiE044IfJNzdmzZ+uss87SPvvso7feekuPPPKI2traJElXXnmlZU//BnJZQUGBbrnlFs2bN0+BQEB33nmnVqxYoVmzZmnvvffW1q1b9dRTT0WqshUVFfr5z38etQ3mMuAMl19+eWQun3322TrjjDM0efJkBQIBrV69WsuWLVMoFFJ+fr5+9atf9btSkbkMuMPYsWN1zjnn6P7779cHH3yg2bNn65vf/KYOOuggvf/++3r44Yfl9/slSeedd17UveHN3AaAzOK8DWTeE088oU8++UTS7iLfF7/4Ra1YsWLQ9x100EFR51bOy0DmXXvttVq/fr22b9+uhx56SOvXr9cpp5yiiooKffzxx3rsscf04YcfStp9K/Jf/OIX/bbhpLmcVcWHzz77LPK6pKQkqffecsstamtr0+rVq7V582bdeuutUcs9Ho8WLFigM88805RYAfR31FFH6X//93912WWXqampSQ0NDTGf/3DggQfq7rvvjjzvoTfmMpB5X/7yl3XdddfpxhtvVCAQ0MMPPxx1uzRJGj58uO644w598YtfjLkN5jLgDldccYV27typJ554Qn6/X3fddVe/dc4444wBb/tgxjYAZBbnbSCznnjiicjrtra2hM+ZCxYs0CWXXBL1O87LQGbtt99+euCBBzR//nx99NFHWrduXdTzHcKqq6v129/+Nu4X8J0yl7Oq+BD+NoWkpB9gVVxcrN///vd6+umn9de//lUbNmxQS0uLysvLdeSRR+qcc87RkUceaXbIAPr4j//4Dy1fvlyPPPKIVq1apU2bNqmtrU3Dhg3T+PHjdfzxx+v000+P+0wX5jLgDGeddZaOOOIIPfjgg3rllVe0detW5efn66CDDtKMGTM0d+5clZeXx30/cxlwB5/Pp1/+8peaOXOmFi1apPXr16upqUklJSWaPHmyzjrrLP3nf/6n5dsAkFmct4HMeuedd0zbFudlIPPGjRunp59+Wn/5y1/07LPP6p133lFHR4fKy8tVXV2tk08+WSeffPKAz2lwylz2GH1vHAUAAAAAAAAA+P/t3UEJAAAIwMD+rQ3hQJC7GnsMWHg1nAYAAAAAAO6JDwAAAAAAQEp8AAAAAAAAUuIDAAAAAACQEh8AAAAAAICU+AAAAAAAAKTEBwAAAAAAICU+AAAAAAAAKfEBAAAAAABIiQ8AAAAAAEBKfAAAAAAAAFLiAwAAAAAAkBIfAAAAAACAlPgAAAAAAACkxAcAAAAAACAlPgAAAAAAACnxAQAAAAAASIkPAAAAAABASnwAAAAAAABS4gMAAAAAAJASHwAAAAAAgJT4AAAAAAAApMQHAAAAAAAgJT4AAAAAAACpAbpUr79sTdSjAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 800x280 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 264,
       "width": 783
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "np.random.seed(5)\n",
    "\n",
    "samples = [rvX.rvs(30) for i in range(10)]\n",
    "with plt.rc_context({\"figure.figsize\":(8,2.8)}):\n",
    "    ax = sns.stripplot(samples, orient=\"h\", s=3, color=\"C0\", alpha=0.8, jitter=0)\n",
    "    ax.set_xlim([70,130])\n",
    "    for i, sample in enumerate(samples):\n",
    "        xbar = mean(sample)\n",
    "        ax.scatter(xbar, i, marker=\"D\", s=45, color=\"C1\", zorder=10)\n",
    "\n",
    "savefig(plt.gcf(), \"figures/samples_from_rvX_n30.png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "04c34797-871f-499c-9e69-c509a4418327",
   "metadata": {},
   "source": [
    "The diamond markers indicate the position of the sample means computed from each sample:\n",
    "$[\\overline{\\mathbf{x}}_1, \\overline{\\mathbf{x}}_2, \\overline{\\mathbf{x}}_3, \\ldots, \\overline{\\mathbf{x}}_{10}]$.\n",
    "\n",
    "\n",
    "In the next section we're going to talk about the distribution of the diamond shapes,\n",
    "which correspond to the means computed from random samples."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "20289f83-b89c-4af6-a553-180b19816660",
   "metadata": {},
   "source": [
    "## Sampling distributions\n",
    "\n",
    "The *sampling distribution* of the mean for samples of size $n=30$ from the general population $X \\sim \\mathcal{N}(100,15)$ is the probability distribution of the random variable $\\overline{\\mathbf{X}} = \\mathbf{Mean}(\\mathbf{X})$,\n",
    "where $\\mathbf{X} = (X_1, X_2, \\ldots, X_{30})$ is a *random sample* from $\\mathcal{N}(100,15)$. The sampling distribution describes the kind of means we can expect to observe if\n",
    "we compute the mean for a sample of size $n=30$ from the standard normal.\n",
    "\n",
    "\n",
    "To visualize the sampling distribution of the mean $\\overline{\\mathbf{X}} = \\texttt{mean}(\\mathbf{X})$,\n",
    "we can generate $N=1000$ samples from the population model:\n",
    "$\\mathbf{x}_1, \\mathbf{x}_2, \\mathbf{x}_3, \\ldots, \\mathbf{x}_{1000}$,\n",
    "then plot a histogram of the means computed from the $1000$ random samples,\n",
    "`xbars` = $[\\overline{\\mathbf{x}}_1, \\overline{\\mathbf{x}}_2, \\overline{\\mathbf{x}}_3, \\ldots, \\overline{\\mathbf{x}}_{1000}]$,\n",
    "where $\\overline{\\mathbf{x}}_j$ denotes the sample mean computed from the data in the $j$th sample,\n",
    "$\\overline{\\mathbf{x}}_j = \\texttt{mean}(\\mathbf{x}_j)$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "898ba347-8ba0-4b3d-8e11-1509eeb7481a",
   "metadata": {},
   "outputs": [],
   "source": [
    "N = 1000  # number of random samples\n",
    "n = 30    # sample size\n",
    "\n",
    "xbars = []\n",
    "for j in range(0, N):\n",
    "    sample = rvX.rvs(n)\n",
    "    xbar = mean(sample)\n",
    "    xbars.append(xbar)\n",
    "\n",
    "# xbars[0:5]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "fae34f37-1635-4306-955a-a83cb7b9eb33",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 800x280 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 262,
       "width": 780
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "with plt.rc_context({\"figure.figsize\":(8,2.8)}):\n",
    "    ax = sns.histplot(xbars, color=\"C1\", bins=40, stat=\"density\")\n",
    "    ax.set_xlim([70,130])\n",
    "    sns.scatterplot(x=xbars, y=-0.01, color=\"C1\", marker=\"D\", alpha=0.1, ax=ax)\n",
    "    ax.set_xlabel(\"$\\\\overline{\\\\mathbf{x}}$\")\n",
    "    ax.set_ylabel(\"$f_{\\\\overline{\\\\mathbf{X}}}$\");\n",
    "    savefig(plt.gcf(), \"figures/hist_sampling_dist_mean_rvX_n30_N1000.png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f668d81d-dc47-4549-895b-450ee0bfdfcb",
   "metadata": {},
   "source": [
    "The above figure shows the sampling distribution of the mean for samples of size $n=30$ from the general population model $X \\sim \\mathcal{N}(\\mu=100, \\sigma=15)$.\n",
    "The histogram shows the \"density of diamond shapes,\" and provides a representation of the sampling distribution of the mean $\\overline{\\mathbf{X}} = \\tt{mean}(\\mathbf{X})$.\n"
   ]
  },
  {
   "attachments": {
    "e0fe8438-a861-4deb-a9a7-5ee855cc1b42.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "id": "412a0011-02b2-46aa-9d30-966c6d1d9569",
   "metadata": {},
   "source": [
    "### Two ways to work with sampling distributions\n",
    "\n",
    "You can use either a math description (analytical formulas) or a computational description (simulations) for the sampling distribution. Although the two descriptions seem very different on the surface, they both describe the same underlying concept. I've compiled a little list of the key properties of the estimator $\\tt{mean}$ to show the correspondences between two types of descriptions.\n",
    "\n",
    "\n",
    "![math_descr_and_comp_descr.png](attachment:e0fe8438-a861-4deb-a9a7-5ee855cc1b42.png)\n",
    "\n",
    "\n",
    "The two descriptions give us two different ways to do probability calculations. For example, we can visualize the sampling distribution of the estimator $\\tt{mean}$, by plotting the probability density function of the random variable $\\overline{\\mathbf{X}} = \\tt{mean}(\\mathbf{X})$ or by plotting a histogram of the values $[\\tt{mean}(\\mathbf{x}_1), \\tt{mean}(\\mathbf{x}_2), \\ldots, \\tt{mean}(\\mathbf{x}_N)]$.\n",
    "\n",
    "Suppose someone asks us to compute the probability $\\Pr(\\{ a \\leq \\overline{\\mathbf{X}} \\leq b \\})$, which describes the probability that the estimate computed from a random sample of size $n$ will be between $a$ and $b$. We can obtain the answer using the probability description by calculating the difference in the cumulative distribution function $\\Pr(\\{ a \\leq \\overline{\\mathbf{X}} \\leq b \\}) = F_{\\overline{\\mathbf{X}}}(b) - F_{\\overline{\\mathbf{X}}}(a)$.  \n",
    "Using the computational approach, we can obtain the same probability calculating by computing the \\emph{proportion} of observations in the list $[\\tt{mean}(\\mathbf{x}_1), \\tt{mean}(\\mathbf{x}_2), \\ldots, \\tt{mean}(\\mathbf{x}_N)]$ whose values are between $a$ and $b$. \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "8c51b61e-d70d-42b6-a421-ba1f9d33ade9",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "4ca76a59-e6d8-48eb-a41f-833f8ee259ff",
   "metadata": {},
   "source": [
    "## Hypothesis testing using simulation\n",
    "\n",
    "TODO: import from blog post and slides"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "a5f6bd32-c33a-43bf-accc-5fab8eb5718f",
   "metadata": {},
   "outputs": [],
   "source": [
    "np.random.seed(55)\n",
    "\n",
    "n = 30     # sample size\n",
    "N = 10000  # number of simulated samples\n",
    "\n",
    "xbars = []\n",
    "for j in range(0, N):\n",
    "    sample = rvX.rvs(n)\n",
    "    xbar = mean(sample)\n",
    "    xbars.append(xbar)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5c193d1d-bbce-427b-bba9-9879817fa3b3",
   "metadata": {},
   "source": [
    "We have seen this before,\n",
    "but now generate using $N=10000$ to get higher presision."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "f50cc27e-0950-411c-8984-4ce0ad586f29",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x200 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 184,
       "width": 680
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = sns.histplot(xbars, color=\"C1\", stat=\"density\")\n",
    "sns.scatterplot(x=xbars, y=-0.01, color=\"C1\", marker=\"D\", alpha=0.1, ax=ax)\n",
    "ax.set_ylabel(\"$f_{\\\\overline{\\\\mathbf{X}}}$\")\n",
    "savefig(plt.gcf(), \"figures/hist_sampling_dist_mean_rvX_n30_N10000.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "017fe4b9-6a45-46a3-902b-c1e3f43b8f1d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "105.89"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "obsmean = mean(iqs)\n",
    "obsmean"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "363334c3-05da-41ca-ad46-943c9435b40a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.0184"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tail = [xbar for xbar in xbars if xbar > obsmean]\n",
    "pvalue = len(tail) / len(xbars)\n",
    "pvalue"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "ba569f97-b722-474e-8651-f1300ef479b9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 700x200 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 182,
       "width": 680
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot the sampling distribution\n",
    "bins = np.arange(90, 110, 0.2)\n",
    "ax = sns.histplot(xbars, bins=bins, color=\"C1\")\n",
    "\n",
    "# plot red line for the observed statistic\n",
    "plt.axvline(obsmean, color=\"red\")\n",
    "\n",
    "# plot the values that are equal or more extreme in red\n",
    "sns.histplot(tail, ax=ax, bins=bins, color=\"red\")\n",
    "_ = ax.set_ylabel(\"$f_{\\\\overline{\\\\mathbf{X}}}$\")\n",
    "_ = ax.set_xlabel(\"$\\\\overline{\\\\mathbf{x}}$\")\n",
    "\n",
    "savefig(plt.gcf(), \"figures/pvalue_viz_simulation_test_iqs.png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4d511297-9a3f-4568-adca-d2192a9cae68",
   "metadata": {},
   "source": [
    "#### Alternative $p$-value calculation using formula"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "177c3d8f-6f4a-4091-b9cd-bab9e9fd5fdb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.01792942680682752"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from ministats import ttest_mean\n",
    "ttest_mean(iqs, mu0=100, alt=\"greater\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "44a891d7-41e1-45bf-ac6f-4d47b7e413d2",
   "metadata": {},
   "source": [
    "## Conclusion"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9cb8d6a8-b41e-423c-a23a-687e7a4e64ed",
   "metadata": {},
   "source": [
    "## Links"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "4db0ea0a-adb1-4b15-82e9-f7bfbb0f6190",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "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": "3.12.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}