two_sample_sims.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "dramatic-chambers",
   "metadata": {},
   "outputs": [],
   "source": [
    "import hyppo\n",
    "from hyppo.discrim._utils import _CheckInputs\n",
    "from hyppo.independence import Dcorr\n",
    "from dask.distributed import Client, progress\n",
    "import dask.dataframe as ddf\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "from matplotlib import pyplot as plt\n",
    "import seaborn as sns\n",
    "from statsmodels.multivariate.manova import MANOVA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "outstanding-bracelet",
   "metadata": {},
   "outputs": [],
   "source": [
    "from twosample import *\n",
    "from simhelper import *\n",
    "from twosample_sims import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "contrary-aspect",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Ratio 1: 1.000907, Ratio 2: 1.001369\n",
      "Dcor 1: 0.020164, Dcor 2: 0.014637\n",
      "Manova 1: 0.974521, Manova 2: 0.956730\n"
     ]
    }
   ],
   "source": [
    "X1, X2, y, z = noeff_twosample(50, 2, 2, 2)\n",
    "\n",
    "ratio1 = statistic(X1, y, z)[2]\n",
    "ratio2 = statistic(X2, y, z)[2]\n",
    "dcor1 = dcorr_statistic(X1, z); dcor2 = dcorr_statistic(X2, z)\n",
    "manova1 = manova_statistic(X1, y, z); manova2 = manova_statistic(X2, y, z)\n",
    "print(\"Ratio 1: {:3f}, Ratio 2: {:3f}\".format(ratio1, ratio2))\n",
    "print(\"Dcor 1: {:3f}, Dcor 2: {:3f}\".format(dcor1, dcor2))\n",
    "print(\"Manova 1: {:3f}, Manova 2: {:3f}\".format(manova1, manova2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "seventh-conditions",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:xlabel='x1', ylabel='x2'>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "Xdat1 = pd.DataFrame({\"x1\": X1[:,0],  \"x2\": X1[:, 1], \"Class\": z, \"individual\": y})\n",
    "Xdat2 = pd.DataFrame({\"x1\": X2[:,0],  \"x2\": X2[:, 1], \"Class\": z, \"individual\": y})\n",
    "fig, axs = plt.subplots(1, 2, figsize=(12, 5))\n",
    "sns.scatterplot(x=\"x1\", y=\"x2\", data=Xdat1, ax=axs[0], hue=\"Class\")\n",
    "sns.scatterplot(x=\"x1\", y=\"x2\", data=Xdat2, ax=axs[1], hue=\"Class\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "empirical-initial",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Ratio 1: 1.072052, Ratio 2: 1.101080\n",
      "Dcor 1: 0.284685, Dcor 2: 0.480096\n",
      "Manova 1: 0.609765, Manova 2: 0.423150\n"
     ]
    }
   ],
   "source": [
    "X1, X2, y, z = gaussian_twosample(50, 2, 2, 2)\n",
    "\n",
    "ratio1 = statistic(X1, y, z)[2]\n",
    "ratio2 = statistic(X2, y, z)[2]\n",
    "dcor1 = dcorr_statistic(X1, z); dcor2 = dcorr_statistic(X2, z)\n",
    "manova1 = manova_statistic(X1, y, z); manova2 = manova_statistic(X2, y, z)\n",
    "print(\"Ratio 1: {:3f}, Ratio 2: {:3f}\".format(ratio1, ratio2))\n",
    "print(\"Dcor 1: {:3f}, Dcor 2: {:3f}\".format(dcor1, dcor2))\n",
    "print(\"Manova 1: {:3f}, Manova 2: {:3f}\".format(manova1, manova2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "aquatic-nomination",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:xlabel='x1', ylabel='x2'>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "Xdat1 = pd.DataFrame({\"x1\": X1[:,0],  \"x2\": X1[:, 1], \"Class\": z, \"individual\": y})\n",
    "Xdat2 = pd.DataFrame({\"x1\": X2[:,0],  \"x2\": X2[:, 1], \"Class\": z, \"individual\": y})\n",
    "fig, axs = plt.subplots(1, 2, figsize=(12, 5))\n",
    "sns.scatterplot(x=\"x1\", y=\"x2\", data=Xdat1, ax=axs[0], hue=\"Class\")\n",
    "sns.scatterplot(x=\"x1\", y=\"x2\", data=Xdat2, ax=axs[1], hue=\"Class\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "better-oregon",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Ratio 1: 1.024965, Ratio 2: 1.071755\n",
      "Dcor 1: 0.036401, Dcor 2: 0.200944\n",
      "Manova 1: 0.970232, Manova 2: 0.920102\n"
     ]
    }
   ],
   "source": [
    "X1, X2, y, z = ballcirc_twosample(50, 2, 2, 2)\n",
    "\n",
    "ratio1 = statistic(X1, y, z)[2]\n",
    "ratio2 = statistic(X2, y, z)[2]\n",
    "dcor1 = dcorr_statistic(X1, z); dcor2 = dcorr_statistic(X2, z)\n",
    "manova1 = manova_statistic(X1, y, z); manova2 = manova_statistic(X2, y, z)\n",
    "print(\"Ratio 1: {:3f}, Ratio 2: {:3f}\".format(ratio1, ratio2))\n",
    "print(\"Dcor 1: {:3f}, Dcor 2: {:3f}\".format(dcor1, dcor2))\n",
    "print(\"Manova 1: {:3f}, Manova 2: {:3f}\".format(manova1, manova2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "graduate-marble",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:xlabel='x1', ylabel='x2'>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "Xdat1 = pd.DataFrame({\"x1\": X1[:,0],  \"x2\": X1[:, 1], \"Class\": z, \"individual\": y})\n",
    "Xdat2 = pd.DataFrame({\"x1\": X2[:,0],  \"x2\": X2[:, 1], \"Class\": z, \"individual\": y})\n",
    "fig, axs = plt.subplots(1, 2, figsize=(12, 5))\n",
    "sns.scatterplot(x=\"x1\", y=\"x2\", data=Xdat1, ax=axs[0], hue=\"Class\")\n",
    "sns.scatterplot(x=\"x1\", y=\"x2\", data=Xdat2, ax=axs[1], hue=\"Class\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "matched-bradley",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "    <div style=\"width: 24px; height: 24px; background-color: #e1e1e1; border: 3px solid #9D9D9D; border-radius: 5px; position: absolute;\"> </div>\n",
       "    <div style=\"margin-left: 48px;\">\n",
       "        <h3 style=\"margin-bottom: 0px;\">Client</h3>\n",
       "        <p style=\"color: #9D9D9D; margin-bottom: 0px;\">Client-49eb7ae2-23f6-11ed-935d-3af9d37386b1</p>\n",
       "        <table style=\"width: 100%; text-align: left;\">\n",
       "\n",
       "        <tr>\n",
       "        \n",
       "            <td style=\"text-align: left;\"><strong>Connection method:</strong> Cluster object</td>\n",
       "            <td style=\"text-align: left;\"><strong>Cluster type:</strong> distributed.LocalCluster</td>\n",
       "        \n",
       "        </tr>\n",
       "\n",
       "        \n",
       "            <tr>\n",
       "                <td style=\"text-align: left;\">\n",
       "                    <strong>Dashboard: </strong> <a href=\"http://127.0.0.1:8787/status\" target=\"_blank\">http://127.0.0.1:8787/status</a>\n",
       "                </td>\n",
       "                <td style=\"text-align: left;\"></td>\n",
       "            </tr>\n",
       "        \n",
       "\n",
       "        </table>\n",
       "\n",
       "        \n",
       "            <details>\n",
       "            <summary style=\"margin-bottom: 20px;\"><h3 style=\"display: inline;\">Cluster Info</h3></summary>\n",
       "            <div class=\"jp-RenderedHTMLCommon jp-RenderedHTML jp-mod-trusted jp-OutputArea-output\">\n",
       "    <div style=\"width: 24px; height: 24px; background-color: #e1e1e1; border: 3px solid #9D9D9D; border-radius: 5px; position: absolute;\">\n",
       "    </div>\n",
       "    <div style=\"margin-left: 48px;\">\n",
       "        <h3 style=\"margin-bottom: 0px; margin-top: 0px;\">LocalCluster</h3>\n",
       "        <p style=\"color: #9D9D9D; margin-bottom: 0px;\">5cfe21dd</p>\n",
       "        <table style=\"width: 100%; text-align: left;\">\n",
       "            <tr>\n",
       "                <td style=\"text-align: left;\">\n",
       "                    <strong>Dashboard:</strong> <a href=\"http://127.0.0.1:8787/status\" target=\"_blank\">http://127.0.0.1:8787/status</a>\n",
       "                </td>\n",
       "                <td style=\"text-align: left;\">\n",
       "                    <strong>Workers:</strong> 10\n",
       "                </td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                <td style=\"text-align: left;\">\n",
       "                    <strong>Total threads:</strong> 10\n",
       "                </td>\n",
       "                <td style=\"text-align: left;\">\n",
       "                    <strong>Total memory:</strong> 32.00 GiB\n",
       "                </td>\n",
       "            </tr>\n",
       "            \n",
       "            <tr>\n",
       "    <td style=\"text-align: left;\"><strong>Status:</strong> running</td>\n",
       "    <td style=\"text-align: left;\"><strong>Using processes:</strong> True</td>\n",
       "</tr>\n",
       "\n",
       "            \n",
       "        </table>\n",
       "\n",
       "        <details>\n",
       "            <summary style=\"margin-bottom: 20px;\">\n",
       "                <h3 style=\"display: inline;\">Scheduler Info</h3>\n",
       "            </summary>\n",
       "\n",
       "            <div style=\"\">\n",
       "    <div>\n",
       "        <div style=\"width: 24px; height: 24px; background-color: #FFF7E5; border: 3px solid #FF6132; border-radius: 5px; position: absolute;\"> </div>\n",
       "        <div style=\"margin-left: 48px;\">\n",
       "            <h3 style=\"margin-bottom: 0px;\">Scheduler</h3>\n",
       "            <p style=\"color: #9D9D9D; margin-bottom: 0px;\">Scheduler-7d5b2487-c1c8-485d-870b-5cd461025552</p>\n",
       "            <table style=\"width: 100%; text-align: left;\">\n",
       "                <tr>\n",
       "                    <td style=\"text-align: left;\">\n",
       "                        <strong>Comm:</strong> tcp://127.0.0.1:54907\n",
       "                    </td>\n",
       "                    <td style=\"text-align: left;\">\n",
       "                        <strong>Workers:</strong> 10\n",
       "                    </td>\n",
       "                </tr>\n",
       "                <tr>\n",
       "                    <td style=\"text-align: left;\">\n",
       "                        <strong>Dashboard:</strong> <a href=\"http://127.0.0.1:8787/status\" target=\"_blank\">http://127.0.0.1:8787/status</a>\n",
       "                    </td>\n",
       "                    <td style=\"text-align: left;\">\n",
       "                        <strong>Total threads:</strong> 10\n",
       "                    </td>\n",
       "                </tr>\n",
       "                <tr>\n",
       "                    <td style=\"text-align: left;\">\n",
       "                        <strong>Started:</strong> Just now\n",
       "                    </td>\n",
       "                    <td style=\"text-align: left;\">\n",
       "                        <strong>Total memory:</strong> 32.00 GiB\n",
       "                    </td>\n",
       "                </tr>\n",
       "            </table>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    <details style=\"margin-left: 48px;\">\n",
       "        <summary style=\"margin-bottom: 20px;\">\n",
       "            <h3 style=\"display: inline;\">Workers</h3>\n",
       "        </summary>\n",
       "\n",
       "        \n",
       "        <div style=\"margin-bottom: 20px;\">\n",
       "            <div style=\"width: 24px; height: 24px; background-color: #DBF5FF; border: 3px solid #4CC9FF; border-radius: 5px; position: absolute;\"> </div>\n",
       "            <div style=\"margin-left: 48px;\">\n",
       "            <details>\n",
       "                <summary>\n",
       "                    <h4 style=\"margin-bottom: 0px; display: inline;\">Worker: 0</h4>\n",
       "                </summary>\n",
       "                <table style=\"width: 100%; text-align: left;\">\n",
       "                    <tr>\n",
       "                        <td style=\"text-align: left;\">\n",
       "                            <strong>Comm: </strong> tcp://127.0.0.1:54965\n",
       "                        </td>\n",
       "                        <td style=\"text-align: left;\">\n",
       "                            <strong>Total threads: </strong> 1\n",
       "                        </td>\n",
       "                    </tr>\n",
       "                    <tr>\n",
       "                        <td style=\"text-align: left;\">\n",
       "                            <strong>Dashboard: </strong> <a href=\"http://127.0.0.1:54968/status\" target=\"_blank\">http://127.0.0.1:54968/status</a>\n",
       "                        </td>\n",
       "                        <td style=\"text-align: left;\">\n",
       "                            <strong>Memory: </strong> 3.20 GiB\n",
       "                        </td>\n",
       "                    </tr>\n",
       "                    <tr>\n",
       "                        <td style=\"text-align: left;\">\n",
       "                            <strong>Nanny: </strong> tcp://127.0.0.1:54917\n",
       "                        </td>\n",
       "                        <td style=\"text-align: left;\"></td>\n",
       "                    </tr>\n",
       "                    <tr>\n",
       "                        <td colspan=\"2\" style=\"text-align: left;\">\n",
       "                            <strong>Local directory: </strong> /var/folders/kb/ht3qlpc17g3__bs52r7wqb_h0000gn/T/dask-worker-space/worker-1kvbrq2k\n",
       "                        </td>\n",
       "                    </tr>\n",
       "\n",
       "                    \n",
       "\n",
       "                    \n",
       "\n",
       "                </table>\n",
       "            </details>\n",
       "            </div>\n",
       "        </div>\n",
       "        \n",
       "        <div style=\"margin-bottom: 20px;\">\n",
       "            <div style=\"width: 24px; height: 24px; background-color: #DBF5FF; border: 3px solid #4CC9FF; border-radius: 5px; position: absolute;\"> </div>\n",
       "            <div style=\"margin-left: 48px;\">\n",
       "            <details>\n",
       "                <summary>\n",
       "                    <h4 style=\"margin-bottom: 0px; display: inline;\">Worker: 1</h4>\n",
       "                </summary>\n",
       "                <table style=\"width: 100%; text-align: left;\">\n",
       "                    <tr>\n",
       "                        <td style=\"text-align: left;\">\n",
       "                            <strong>Comm: </strong> tcp://127.0.0.1:54958\n",
       "                        </td>\n",
       "                        <td style=\"text-align: left;\">\n",
       "                            <strong>Total threads: </strong> 1\n",
       "                        </td>\n",
       "                    </tr>\n",
       "                    <tr>\n",
       "                        <td style=\"text-align: left;\">\n",
       "                            <strong>Dashboard: </strong> <a href=\"http://127.0.0.1:54959/status\" target=\"_blank\">http://127.0.0.1:54959/status</a>\n",
       "                        </td>\n",
       "                        <td style=\"text-align: left;\">\n",
       "                            <strong>Memory: </strong> 3.20 GiB\n",
       "                        </td>\n",
       "                    </tr>\n",
       "                    <tr>\n",
       "                        <td style=\"text-align: left;\">\n",
       "                            <strong>Nanny: </strong> tcp://127.0.0.1:54916\n",
       "                        </td>\n",
       "                        <td style=\"text-align: left;\"></td>\n",
       "                    </tr>\n",
       "                    <tr>\n",
       "                        <td colspan=\"2\" style=\"text-align: left;\">\n",
       "                            <strong>Local directory: </strong> /var/folders/kb/ht3qlpc17g3__bs52r7wqb_h0000gn/T/dask-worker-space/worker-shexnyvu\n",
       "                        </td>\n",
       "                    </tr>\n",
       "\n",
       "                    \n",
       "\n",
       "                    \n",
       "\n",
       "                </table>\n",
       "            </details>\n",
       "            </div>\n",
       "        </div>\n",
       "        \n",
       "        <div style=\"margin-bottom: 20px;\">\n",
       "            <div style=\"width: 24px; height: 24px; background-color: #DBF5FF; border: 3px solid #4CC9FF; border-radius: 5px; position: absolute;\"> </div>\n",
       "            <div style=\"margin-left: 48px;\">\n",
       "            <details>\n",
       "                <summary>\n",
       "                    <h4 style=\"margin-bottom: 0px; display: inline;\">Worker: 2</h4>\n",
       "                </summary>\n",
       "                <table style=\"width: 100%; text-align: left;\">\n",
       "                    <tr>\n",
       "                        <td style=\"text-align: left;\">\n",
       "                            <strong>Comm: </strong> tcp://127.0.0.1:54941\n",
       "                        </td>\n",
       "                        <td style=\"text-align: left;\">\n",
       "                            <strong>Total threads: </strong> 1\n",
       "                        </td>\n",
       "                    </tr>\n",
       "                    <tr>\n",
       "                        <td style=\"text-align: left;\">\n",
       "                            <strong>Dashboard: </strong> <a href=\"http://127.0.0.1:54944/status\" target=\"_blank\">http://127.0.0.1:54944/status</a>\n",
       "                        </td>\n",
       "                        <td style=\"text-align: left;\">\n",
       "                            <strong>Memory: </strong> 3.20 GiB\n",
       "                        </td>\n",
       "                    </tr>\n",
       "                    <tr>\n",
       "                        <td style=\"text-align: left;\">\n",
       "                            <strong>Nanny: </strong> tcp://127.0.0.1:54912\n",
       "                        </td>\n",
       "                        <td style=\"text-align: left;\"></td>\n",
       "                    </tr>\n",
       "                    <tr>\n",
       "                        <td colspan=\"2\" style=\"text-align: left;\">\n",
       "                            <strong>Local directory: </strong> /var/folders/kb/ht3qlpc17g3__bs52r7wqb_h0000gn/T/dask-worker-space/worker-sffdjbo6\n",
       "                        </td>\n",
       "                    </tr>\n",
       "\n",
       "                    \n",
       "\n",
       "                    \n",
       "\n",
       "                </table>\n",
       "            </details>\n",
       "            </div>\n",
       "        </div>\n",
       "        \n",
       "        <div style=\"margin-bottom: 20px;\">\n",
       "            <div style=\"width: 24px; height: 24px; background-color: #DBF5FF; border: 3px solid #4CC9FF; border-radius: 5px; position: absolute;\"> </div>\n",
       "            <div style=\"margin-left: 48px;\">\n",
       "            <details>\n",
       "                <summary>\n",
       "                    <h4 style=\"margin-bottom: 0px; display: inline;\">Worker: 3</h4>\n",
       "                </summary>\n",
       "                <table style=\"width: 100%; text-align: left;\">\n",
       "                    <tr>\n",
       "                        <td style=\"text-align: left;\">\n",
       "                            <strong>Comm: </strong> tcp://127.0.0.1:54940\n",
       "                        </td>\n",
       "                        <td style=\"text-align: left;\">\n",
       "                            <strong>Total threads: </strong> 1\n",
       "                        </td>\n",
       "                    </tr>\n",
       "                    <tr>\n",
       "                        <td style=\"text-align: left;\">\n",
       "                            <strong>Dashboard: </strong> <a href=\"http://127.0.0.1:54942/status\" target=\"_blank\">http://127.0.0.1:54942/status</a>\n",
       "                        </td>\n",
       "                        <td style=\"text-align: left;\">\n",
       "                            <strong>Memory: </strong> 3.20 GiB\n",
       "                        </td>\n",
       "                    </tr>\n",
       "                    <tr>\n",
       "                        <td style=\"text-align: left;\">\n",
       "                            <strong>Nanny: </strong> tcp://127.0.0.1:54910\n",
       "                        </td>\n",
       "                        <td style=\"text-align: left;\"></td>\n",
       "                    </tr>\n",
       "                    <tr>\n",
       "                        <td colspan=\"2\" style=\"text-align: left;\">\n",
       "                            <strong>Local directory: </strong> /var/folders/kb/ht3qlpc17g3__bs52r7wqb_h0000gn/T/dask-worker-space/worker-rl8h4ael\n",
       "                        </td>\n",
       "                    </tr>\n",
       "\n",
       "                    \n",
       "\n",
       "                    \n",
       "\n",
       "                </table>\n",
       "            </details>\n",
       "            </div>\n",
       "        </div>\n",
       "        \n",
       "        <div style=\"margin-bottom: 20px;\">\n",
       "            <div style=\"width: 24px; height: 24px; background-color: #DBF5FF; border: 3px solid #4CC9FF; border-radius: 5px; position: absolute;\"> </div>\n",
       "            <div style=\"margin-left: 48px;\">\n",
       "            <details>\n",
       "                <summary>\n",
       "                    <h4 style=\"margin-bottom: 0px; display: inline;\">Worker: 4</h4>\n",
       "                </summary>\n",
       "                <table style=\"width: 100%; text-align: left;\">\n",
       "                    <tr>\n",
       "                        <td style=\"text-align: left;\">\n",
       "                            <strong>Comm: </strong> tcp://127.0.0.1:54947\n",
       "                        </td>\n",
       "                        <td style=\"text-align: left;\">\n",
       "                            <strong>Total threads: </strong> 1\n",
       "                        </td>\n",
       "                    </tr>\n",
       "                    <tr>\n",
       "                        <td style=\"text-align: left;\">\n",
       "                            <strong>Dashboard: </strong> <a href=\"http://127.0.0.1:54949/status\" target=\"_blank\">http://127.0.0.1:54949/status</a>\n",
       "                        </td>\n",
       "                        <td style=\"text-align: left;\">\n",
       "                            <strong>Memory: </strong> 3.20 GiB\n",
       "                        </td>\n",
       "                    </tr>\n",
       "                    <tr>\n",
       "                        <td style=\"text-align: left;\">\n",
       "                            <strong>Nanny: </strong> tcp://127.0.0.1:54913\n",
       "                        </td>\n",
       "                        <td style=\"text-align: left;\"></td>\n",
       "                    </tr>\n",
       "                    <tr>\n",
       "                        <td colspan=\"2\" style=\"text-align: left;\">\n",
       "                            <strong>Local directory: </strong> /var/folders/kb/ht3qlpc17g3__bs52r7wqb_h0000gn/T/dask-worker-space/worker-cncx40er\n",
       "                        </td>\n",
       "                    </tr>\n",
       "\n",
       "                    \n",
       "\n",
       "                    \n",
       "\n",
       "                </table>\n",
       "            </details>\n",
       "            </div>\n",
       "        </div>\n",
       "        \n",
       "        <div style=\"margin-bottom: 20px;\">\n",
       "            <div style=\"width: 24px; height: 24px; background-color: #DBF5FF; border: 3px solid #4CC9FF; border-radius: 5px; position: absolute;\"> </div>\n",
       "            <div style=\"margin-left: 48px;\">\n",
       "            <details>\n",
       "                <summary>\n",
       "                    <h4 style=\"margin-bottom: 0px; display: inline;\">Worker: 5</h4>\n",
       "                </summary>\n",
       "                <table style=\"width: 100%; text-align: left;\">\n",
       "                    <tr>\n",
       "                        <td style=\"text-align: left;\">\n",
       "                            <strong>Comm: </strong> tcp://127.0.0.1:54952\n",
       "                        </td>\n",
       "                        <td style=\"text-align: left;\">\n",
       "                            <strong>Total threads: </strong> 1\n",
       "                        </td>\n",
       "                    </tr>\n",
       "                    <tr>\n",
       "                        <td style=\"text-align: left;\">\n",
       "                            <strong>Dashboard: </strong> <a href=\"http://127.0.0.1:54953/status\" target=\"_blank\">http://127.0.0.1:54953/status</a>\n",
       "                        </td>\n",
       "                        <td style=\"text-align: left;\">\n",
       "                            <strong>Memory: </strong> 3.20 GiB\n",
       "                        </td>\n",
       "                    </tr>\n",
       "                    <tr>\n",
       "                        <td style=\"text-align: left;\">\n",
       "                            <strong>Nanny: </strong> tcp://127.0.0.1:54914\n",
       "                        </td>\n",
       "                        <td style=\"text-align: left;\"></td>\n",
       "                    </tr>\n",
       "                    <tr>\n",
       "                        <td colspan=\"2\" style=\"text-align: left;\">\n",
       "                            <strong>Local directory: </strong> /var/folders/kb/ht3qlpc17g3__bs52r7wqb_h0000gn/T/dask-worker-space/worker-oxyqgcbc\n",
       "                        </td>\n",
       "                    </tr>\n",
       "\n",
       "                    \n",
       "\n",
       "                    \n",
       "\n",
       "                </table>\n",
       "            </details>\n",
       "            </div>\n",
       "        </div>\n",
       "        \n",
       "        <div style=\"margin-bottom: 20px;\">\n",
       "            <div style=\"width: 24px; height: 24px; background-color: #DBF5FF; border: 3px solid #4CC9FF; border-radius: 5px; position: absolute;\"> </div>\n",
       "            <div style=\"margin-left: 48px;\">\n",
       "            <details>\n",
       "                <summary>\n",
       "                    <h4 style=\"margin-bottom: 0px; display: inline;\">Worker: 6</h4>\n",
       "                </summary>\n",
       "                <table style=\"width: 100%; text-align: left;\">\n",
       "                    <tr>\n",
       "                        <td style=\"text-align: left;\">\n",
       "                            <strong>Comm: </strong> tcp://127.0.0.1:54955\n",
       "                        </td>\n",
       "                        <td style=\"text-align: left;\">\n",
       "                            <strong>Total threads: </strong> 1\n",
       "                        </td>\n",
       "                    </tr>\n",
       "                    <tr>\n",
       "                        <td style=\"text-align: left;\">\n",
       "                            <strong>Dashboard: </strong> <a href=\"http://127.0.0.1:54956/status\" target=\"_blank\">http://127.0.0.1:54956/status</a>\n",
       "                        </td>\n",
       "                        <td style=\"text-align: left;\">\n",
       "                            <strong>Memory: </strong> 3.20 GiB\n",
       "                        </td>\n",
       "                    </tr>\n",
       "                    <tr>\n",
       "                        <td style=\"text-align: left;\">\n",
       "                            <strong>Nanny: </strong> tcp://127.0.0.1:54915\n",
       "                        </td>\n",
       "                        <td style=\"text-align: left;\"></td>\n",
       "                    </tr>\n",
       "                    <tr>\n",
       "                        <td colspan=\"2\" style=\"text-align: left;\">\n",
       "                            <strong>Local directory: </strong> /var/folders/kb/ht3qlpc17g3__bs52r7wqb_h0000gn/T/dask-worker-space/worker-k8jvw2io\n",
       "                        </td>\n",
       "                    </tr>\n",
       "\n",
       "                    \n",
       "\n",
       "                    \n",
       "\n",
       "                </table>\n",
       "            </details>\n",
       "            </div>\n",
       "        </div>\n",
       "        \n",
       "        <div style=\"margin-bottom: 20px;\">\n",
       "            <div style=\"width: 24px; height: 24px; background-color: #DBF5FF; border: 3px solid #4CC9FF; border-radius: 5px; position: absolute;\"> </div>\n",
       "            <div style=\"margin-left: 48px;\">\n",
       "            <details>\n",
       "                <summary>\n",
       "                    <h4 style=\"margin-bottom: 0px; display: inline;\">Worker: 7</h4>\n",
       "                </summary>\n",
       "                <table style=\"width: 100%; text-align: left;\">\n",
       "                    <tr>\n",
       "                        <td style=\"text-align: left;\">\n",
       "                            <strong>Comm: </strong> tcp://127.0.0.1:54961\n",
       "                        </td>\n",
       "                        <td style=\"text-align: left;\">\n",
       "                            <strong>Total threads: </strong> 1\n",
       "                        </td>\n",
       "                    </tr>\n",
       "                    <tr>\n",
       "                        <td style=\"text-align: left;\">\n",
       "                            <strong>Dashboard: </strong> <a href=\"http://127.0.0.1:54962/status\" target=\"_blank\">http://127.0.0.1:54962/status</a>\n",
       "                        </td>\n",
       "                        <td style=\"text-align: left;\">\n",
       "                            <strong>Memory: </strong> 3.20 GiB\n",
       "                        </td>\n",
       "                    </tr>\n",
       "                    <tr>\n",
       "                        <td style=\"text-align: left;\">\n",
       "                            <strong>Nanny: </strong> tcp://127.0.0.1:54918\n",
       "                        </td>\n",
       "                        <td style=\"text-align: left;\"></td>\n",
       "                    </tr>\n",
       "                    <tr>\n",
       "                        <td colspan=\"2\" style=\"text-align: left;\">\n",
       "                            <strong>Local directory: </strong> /var/folders/kb/ht3qlpc17g3__bs52r7wqb_h0000gn/T/dask-worker-space/worker-8ncc4la5\n",
       "                        </td>\n",
       "                    </tr>\n",
       "\n",
       "                    \n",
       "\n",
       "                    \n",
       "\n",
       "                </table>\n",
       "            </details>\n",
       "            </div>\n",
       "        </div>\n",
       "        \n",
       "        <div style=\"margin-bottom: 20px;\">\n",
       "            <div style=\"width: 24px; height: 24px; background-color: #DBF5FF; border: 3px solid #4CC9FF; border-radius: 5px; position: absolute;\"> </div>\n",
       "            <div style=\"margin-left: 48px;\">\n",
       "            <details>\n",
       "                <summary>\n",
       "                    <h4 style=\"margin-bottom: 0px; display: inline;\">Worker: 8</h4>\n",
       "                </summary>\n",
       "                <table style=\"width: 100%; text-align: left;\">\n",
       "                    <tr>\n",
       "                        <td style=\"text-align: left;\">\n",
       "                            <strong>Comm: </strong> tcp://127.0.0.1:54964\n",
       "                        </td>\n",
       "                        <td style=\"text-align: left;\">\n",
       "                            <strong>Total threads: </strong> 1\n",
       "                        </td>\n",
       "                    </tr>\n",
       "                    <tr>\n",
       "                        <td style=\"text-align: left;\">\n",
       "                            <strong>Dashboard: </strong> <a href=\"http://127.0.0.1:54966/status\" target=\"_blank\">http://127.0.0.1:54966/status</a>\n",
       "                        </td>\n",
       "                        <td style=\"text-align: left;\">\n",
       "                            <strong>Memory: </strong> 3.20 GiB\n",
       "                        </td>\n",
       "                    </tr>\n",
       "                    <tr>\n",
       "                        <td style=\"text-align: left;\">\n",
       "                            <strong>Nanny: </strong> tcp://127.0.0.1:54919\n",
       "                        </td>\n",
       "                        <td style=\"text-align: left;\"></td>\n",
       "                    </tr>\n",
       "                    <tr>\n",
       "                        <td colspan=\"2\" style=\"text-align: left;\">\n",
       "                            <strong>Local directory: </strong> /var/folders/kb/ht3qlpc17g3__bs52r7wqb_h0000gn/T/dask-worker-space/worker-76ts9wsq\n",
       "                        </td>\n",
       "                    </tr>\n",
       "\n",
       "                    \n",
       "\n",
       "                    \n",
       "\n",
       "                </table>\n",
       "            </details>\n",
       "            </div>\n",
       "        </div>\n",
       "        \n",
       "        <div style=\"margin-bottom: 20px;\">\n",
       "            <div style=\"width: 24px; height: 24px; background-color: #DBF5FF; border: 3px solid #4CC9FF; border-radius: 5px; position: absolute;\"> </div>\n",
       "            <div style=\"margin-left: 48px;\">\n",
       "            <details>\n",
       "                <summary>\n",
       "                    <h4 style=\"margin-bottom: 0px; display: inline;\">Worker: 9</h4>\n",
       "                </summary>\n",
       "                <table style=\"width: 100%; text-align: left;\">\n",
       "                    <tr>\n",
       "                        <td style=\"text-align: left;\">\n",
       "                            <strong>Comm: </strong> tcp://127.0.0.1:54946\n",
       "                        </td>\n",
       "                        <td style=\"text-align: left;\">\n",
       "                            <strong>Total threads: </strong> 1\n",
       "                        </td>\n",
       "                    </tr>\n",
       "                    <tr>\n",
       "                        <td style=\"text-align: left;\">\n",
       "                            <strong>Dashboard: </strong> <a href=\"http://127.0.0.1:54948/status\" target=\"_blank\">http://127.0.0.1:54948/status</a>\n",
       "                        </td>\n",
       "                        <td style=\"text-align: left;\">\n",
       "                            <strong>Memory: </strong> 3.20 GiB\n",
       "                        </td>\n",
       "                    </tr>\n",
       "                    <tr>\n",
       "                        <td style=\"text-align: left;\">\n",
       "                            <strong>Nanny: </strong> tcp://127.0.0.1:54911\n",
       "                        </td>\n",
       "                        <td style=\"text-align: left;\"></td>\n",
       "                    </tr>\n",
       "                    <tr>\n",
       "                        <td colspan=\"2\" style=\"text-align: left;\">\n",
       "                            <strong>Local directory: </strong> /var/folders/kb/ht3qlpc17g3__bs52r7wqb_h0000gn/T/dask-worker-space/worker-jragu692\n",
       "                        </td>\n",
       "                    </tr>\n",
       "\n",
       "                    \n",
       "\n",
       "                    \n",
       "\n",
       "                </table>\n",
       "            </details>\n",
       "            </div>\n",
       "        </div>\n",
       "        \n",
       "\n",
       "    </details>\n",
       "</div>\n",
       "\n",
       "        </details>\n",
       "    </div>\n",
       "</div>\n",
       "            </details>\n",
       "        \n",
       "\n",
       "    </div>\n",
       "</div>"
      ],
      "text/plain": [
       "<Client: 'tcp://127.0.0.1:54907' processes=10 threads=10, memory=32.00 GiB>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ncores = 70\n",
    "client = Client(threads_per_worker=1, n_workers=ncores)\n",
    "client"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "bronze-animal",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  Simulation  NSubs  ID\n",
      "0  No Effect     16   0\n",
      "1  No Effect     16   1\n",
      "2  No Effect     16   2\n",
      "3  No Effect     16   3\n",
      "4  No Effect     16   4\n",
      "(1800, 3)\n"
     ]
    }
   ],
   "source": [
    "outer_reps = 100\n",
    "pvalues = []\n",
    "Nsubs = []\n",
    "Nbreaks = 6\n",
    "T = 3\n",
    "ndim = 2\n",
    "reps = 1000\n",
    "\n",
    "def run_exp_tst(row):\n",
    "    if row[0] == \"Gaussian\":\n",
    "        X1, X2, y, z = gaussian_twosample(int(row[1]), T, ndim, 2)\n",
    "    if row[0] == \"No Effect\":\n",
    "        X1, X2, y, z = noeff_twosample(int(row[1]), T, ndim, 2)\n",
    "    if row[0] == \"Circle/Disc\":\n",
    "        X1, X2, y, z = ballcirc_twosample(int(row[1]), T, ndim, 2)\n",
    "    pvalue_cdiscr, pvalue_dcorr, pvalue_manova = two_sample_test(X1, X2, y, z, reps=reps)\n",
    "    return (row[0], row[1], row[2], pvalue_cdiscr, pvalue_manova, pvalue_dcorr)\n",
    "\n",
    "exps = []\n",
    "for exp_type in [\"No Effect\", \"Gaussian\", \"Circle/Disc\"]:\n",
    "    for Nsub in np.floor(2**np.linspace(4, 7, num=Nbreaks)):\n",
    "        for i in range(outer_reps):\n",
    "            exps.append([exp_type, int(Nsub), i])\n",
    "\n",
    "sim_exps = pd.DataFrame(exps, columns=[\"Simulation\", \"NSubs\", \"ID\"])\n",
    "print(sim_exps.head())\n",
    "print(sim_exps.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "sized-fitness",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div><strong>Dask DataFrame Structure:</strong></div>\n",
       "<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>0</th>\n",
       "      <th>1</th>\n",
       "      <th>2</th>\n",
       "      <th>3</th>\n",
       "      <th>4</th>\n",
       "      <th>5</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>npartitions=15</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>object</td>\n",
       "      <td>int64</td>\n",
       "      <td>int64</td>\n",
       "      <td>float64</td>\n",
       "      <td>float64</td>\n",
       "      <td>float64</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>120</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1680</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1799</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>\n",
       "<div>Dask Name: apply, 2 graph layers</div>"
      ],
      "text/plain": [
       "Dask DataFrame Structure:\n",
       "                     0      1      2        3        4        5\n",
       "npartitions=15                                                 \n",
       "0               object  int64  int64  float64  float64  float64\n",
       "120                ...    ...    ...      ...      ...      ...\n",
       "...                ...    ...    ...      ...      ...      ...\n",
       "1680               ...    ...    ...      ...      ...      ...\n",
       "1799               ...    ...    ...      ...      ...      ...\n",
       "Dask Name: apply, 2 graph layers"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sim_exps = ddf.from_pandas(sim_exps, npartitions=int(ncores*1.5))\n",
    "sim_results = sim_exps.apply(lambda x: run_exp_tst(x), axis=1, result_type=\"expand\",\n",
    "                            meta={0: object, 1: int, 2: int, 3: float, 4: float, 5: float})\n",
    "sim_results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "resident-stake",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/eric/.virtualenvs/graph-book/lib/python3.8/site-packages/dask/base.py:1363: UserWarning: Running on a single-machine scheduler when a distributed client is active might lead to unexpected results.\n",
      "  warnings.warn(\n"
     ]
    }
   ],
   "source": [
    "sim_results = sim_results.compute(scheduler=\"multiprocessing\")\n",
    "sim_results = sim_results.rename(columns={0: \"Simulation\", 1: \"NSubs\", 2: \"index\", 3: \"pvalue_cdiscr\",\n",
    "                                          4: \"pvalue_manova\", 5: \"pvalue_dcorr\"})\n",
    "sim_results.to_csv('./data/sims_twosample.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "charged-offer",
   "metadata": {},
   "outputs": [],
   "source": [
    "sim_results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "developmental-willow",
   "metadata": {},
   "outputs": [],
   "source": [
    "sim_results = pd.read_csv('./data/sims_twosample.csv')\n",
    "long_results = pd.wide_to_long(sim_results, stubnames=\"pvalue\", i=[\"Simulation\", \"NSubs\", \"index\"],\n",
    "                               j=\"Statistic\", sep=\"_\", suffix='\\\\w+')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "international-remove",
   "metadata": {},
   "outputs": [],
   "source": [
    "alpha = .05\n",
    "long_results[\"Outcome\"] = long_results[\"pvalue\"] < alpha\n",
    "long_results_power = long_results.groupby([\"Simulation\", \"NSubs\", \"Statistic\"]).agg({\"Outcome\": np.mean}).reset_index()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "express-columbia",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 724.125x216 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "g = sns.FacetGrid(long_results_power, col=\"Simulation\", hue=\"Statistic\")\n",
    "g.map(sns.lineplot, \"NSubs\", \"Outcome\")\n",
    "g.add_legend();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "challenging-mortgage",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "graph-book",
   "language": "python",
   "name": "graph-book"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}