{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Test d'hypothèse"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "On introduit l'hypothèse nulle $H_0$. C'est l'hypothèse faite par défaut qui reflète notre conception de l'étude. \n",
    "L'hypothèse alternative est notée $H_A$. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Exemple"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Dans la vie courante $H_0$ peut être par exemple on possède moins de 10 paires de chaussures. L'hypothèse alternative $H_A$ on en possède plus que 10 paires.  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Attention : la formulation d'une hypothèse ne peut pas être vague. Par exemple \" le trading instantanné est un bon moyen pour gagner de l'argent \" cette hypothèse est assez vague pour être testée."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Comment mettre en place un test"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "1- Formuler correctement l'hypothèse et son alternative\n",
    "\n",
    "2- Identifier la statistique appropriée ainsi que sa loi en vérifiant que les conditions qu'on doit avoir sur les données sont vérifiées (normalité, stationnarité , etc).\n",
    "\n",
    "3- Spécifier la signification du niveau $\\alpha$.\n",
    "\n",
    "4- A l'aide de $\\alpha$ et de la loi de la statistique on doit calculer la valeur critique.\n",
    "\n",
    "5- A partir des données il faut calculer le test statistique.\n",
    "\n",
    "6- Comparer le test statistique obtenu sur les données à la valeur critique et décider d'accepter ou rejeter $H_0$.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Tests bilatéraux et unilatéraux "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "On donne des exemples : On s'intéresse si le rendement moyen de l'action Microsoft est positve ? Le paramètre qu'on teste est noté $\\theta$ et la valeur proposée du paramètre est notée $\\theta_0$ qui dans notre cas va être égale à 0.\n",
    "    \n",
    "1-  $H_0$ : $\\theta=\\theta_0$ versus $H_A$: $\\theta\\neq\\theta_0$ \n",
    "\n",
    "2-  $H_0$ : $\\theta\\le\\theta_0$ versus $H_A$: $\\theta>\\theta_0$ \n",
    "\n",
    "3-  $H_0$ : $\\theta\\ge \\theta_0$ versus $H_A$: $\\theta<\\theta_0$ "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Dans cet exemple on teste le rendement moyen de MSFT $\\theta=\\mu_{MSFT}$. Comme on voudrait savoir si ce rendement est positif ou négatif on a $\\theta_0=0$. La formulation 1- ci-dessus du test s'appelle un test bilatéral les deux autres formulations sont dites  unilatérales.  En pratique, le plus commun des tests c'est le test bilatéral. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Exemple de test bilatéral : \n",
    "\n",
    "On étudie les données de l'action MSFT entre 1/1/2015 et 1/1/2016"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$H_0$ : la moyenne du rendement de l'action MSFT est 0\n",
    "\n",
    "$H_A$ : la moyenne du rendement de l'action MSFT n'est pas 0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 127,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import datetime as dt\n",
    "import yfinance as yf\n",
    "from datetime import datetime"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 128,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\lione\\AppData\\Local\\Temp\\ipykernel_42940\\150107104.py:2: FutureWarning: YF.download() has changed argument auto_adjust default to True\n",
      "  pricing_sample=yf.download('MSFT', start, end).loc[:,'Close']\n",
      "[*********************100%***********************]  1 of 1 completed"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1c94d9e02d0>]"
      ]
     },
     "execution_count": 128,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1200x1000 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "start, end = dt.datetime(2015, 1, 1), dt.datetime(2016, 1, 1)\n",
    "pricing_sample=yf.download('MSFT', start, end).loc[:,'Close']\n",
    "\n",
    "#transform it into returns\n",
    "returns_sample = pricing_sample.pct_change()[1:].values\n",
    "\n",
    "# plot it\n",
    "plt.plot(pricing_sample)\n",
    "#plt.ylabel('Price');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 129,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.0009450236911948029\n",
      "erreur_MC 0.002197714441018394\n",
      "val_max_moy 0.003142738132213197\n",
      "val_min_moy -0.0012526907498235911\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.lines.Line2D at 0x1c94dd2efd0>"
      ]
     },
     "execution_count": 129,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x1000 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot( returns_sample)\n",
    "plt.ylabel('Returns')\n",
    "## Calculer la moyenne, l'erreur d'estimation et l'intervalle de confiance\n",
    "print(np.mean(returns_sample))\n",
    "erreur_MC=1.96*np.std(returns_sample)/np.sqrt(len(returns_sample))\n",
    "print('erreur_MC', erreur_MC)\n",
    "val_max_moy=np.mean(returns_sample)+erreur_MC\n",
    "val_min_moy=np.mean(returns_sample)-erreur_MC\n",
    "print('val_max_moy',val_max_moy )\n",
    "print('val_min_moy',val_min_moy)\n",
    "plt.axhline(val_max_moy,color='r')\n",
    "plt.axhline(val_min_moy,color='r')\n",
    "plt.axhline(0.0008384992490174008,color='k')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Le z-test \n",
    "\n",
    "On identifie le test statistique approprié \n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "   $$\\text{Test_Statistique}=\\frac{\\text{Statistique échantillon} - \\text{Valeur du paramètre sous H0}}{\\text{Erreur_standard}}$$\n",
    "</div>\n",
    "\n",
    "\n",
    "\n",
    "C'est la formule à utiliser pour le $z$-test."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Dans notre cas d'étude on utilise la moyenne de l'écahntillon ${\\bar X}_{\\mu}=\\frac 1n\\sum_{i=1}^n X_i $ comme \"Statistique échantillon\". On calcule l'erreur statndard :  $$\\sigma_{\\bar X}= \\frac{\\sigma}{\\sqrt n}$$\n",
    "Où $\\sigma$ est l'écart type de l'échantillon et $n$ la taille de ce dernier.  On rappelle que si les $(X_i)_{1\\le i\\le n}$ sont i.i.d. alors $$\\bar X_{\\mu}=\\frac 1n\\sum_{i=1}^n X_i\\longrightarrow \\mathbb E(X_1)\\;\\; p.s.$$ quand $n\\to\\infty$ c'est la loi forte des grands nombres (LFGN)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "On veut tester $H_0:= \\mbox{ Le rendement moyen du stock Microsoft est 0}$ donc la \" Valeur du paramètre sous $H_0$\" est $\\theta_0=0$. \n",
    "\n",
    "Donc le test statistique est donné par \n",
    "$$\n",
    "\\text{Test_Statistique}=\\frac{\\bar X_{\\mu}-\\theta_0}{\\sigma_{\\bar X}}=\\sqrt n\\Big(\\frac{\\bar X_{\\mu}-0}{\\sigma}\\Big)\n",
    "$$\n",
    "Notons si la moyenne théorique (inconnue) de $X_1$ est égale à 0 (i.e. $H_0$ est vraie) alors d'après le TLC on a \n",
    "$$\n",
    "\\text{Test_Statistique}=\\sqrt n\\Big(\\frac{\\bar X_{\\mu}-0}{\\sigma}\\Big)\\sim N(0,1) \\text{ quand } n\\to \\infty\n",
    "$$\n",
    "Donc pour accepter ou rejeter $H_0$ on applique le test de la loi normale appelé aussi $z$-test\n",
    "avec un niveau de signification $\\alpha=0.05$. C'est un test bilatéral. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 130,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "z-test statistic:  0.8428057804832485\n"
     ]
    }
   ],
   "source": [
    "## Calculer test_statistic\n",
    "n = len(returns_sample)\n",
    "#print(n)\n",
    "#print(returns_sample)\n",
    "test_statistic = np.sqrt(n)*(returns_sample.mean() - 0) /(returns_sample.std())\n",
    "print('z-test statistic: ', test_statistic)\n",
    "\n",
    "# test_stat appartient [-1.96;1.96] avec 1-0.05=0.95 de niveau de confiance\n",
    "#z-test valeur critique 1.96"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "La valeur $0.74449531394807981 \\in [-1.96;1.96]$ donc on n'est pas en mesure de rejeter l'hypothèse $H_0$, selon le $z$-test. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "#### Choix de la valeur critique\n",
    "\n",
    "On se fixe un niveau de signification $\\alpha=0.05$.\n",
    "\n",
    "$\\bullet$ **Test unilatéral.** Si on teste $H_0$ : $\\theta\\le \\theta_0$ la valeur critique c'est \n",
    "$$ \n",
    "z_{0.05}=F^{-1}_{\\text{Normale}}(1- 0.05)=F^{-1}_{\\text{Normale}}(0.95)\n",
    "$$\n",
    "\n",
    "où $x\\mapsto F_{\\text{Normale}}(x)$ est la fonction de répartition d'une loi normale $N(0,1)$.\n",
    "\n",
    "CC.: On rejète $H_0$ si la valeur du Test_Statistique$> z_{0.05}$\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 131,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "z_{0.05} is :  -1.6448536269514722\n",
      "On rejète H_0\n"
     ]
    }
   ],
   "source": [
    "import scipy.stats as stats\n",
    "\n",
    "z_critic=-stats.norm.ppf(0.95, 0, 1)\n",
    "\n",
    "print('z_{0.05} is : ', z_critic)\n",
    "\n",
    "if (test_statistic>z_critic) :\n",
    "    print('On rejète H_0')\n",
    "else:\n",
    "     print('On accepte H_0')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$\\bullet$ **Test unilatéral.** Si on teste $H_0$ : $\\theta\\ge \\theta_0$ la valeur critique c'est \n",
    "$$ \n",
    "z_{0.05}=-F^{-1}_{\\text{Normale}}(1- 0.05)=-F^{-1}_{\\text{Normale}}(0.95)\n",
    "$$\n",
    "\n",
    "où $x\\mapsto F_{\\text{Normale}}(x)$ est la fonction de répartition d'une loi normale $N(0,1)$.\n",
    "\n",
    "CC.: On rejète $H_0$ si la valeur du Test_Statistique$< -z_{0.05}$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 132,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "z_{0.05} is :  -1.6448536269514722\n",
      "On accepte H_0\n"
     ]
    }
   ],
   "source": [
    "z_critic=-stats.norm.ppf(0.95, 0, 1)\n",
    "\n",
    "print('z_{0.05} is : ', z_critic)\n",
    "\n",
    "if (test_statistic<z_critic) :\n",
    "    print('On rejète H_0')\n",
    "else:\n",
    "     print('On accepte H_0')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$\\bullet$ **Test bilatéral.** On a deux points critiques : \n",
    "Comme $\\alpha=0.05=\\mathbb P(\\text{rejeter } H_0 \\text{ quand } H_0 \\text{ est vraie })$, on partage $0.05$ par deux de sorte que les deux points de rejet critiques sont \n",
    "$z_{0.025}$ et $-z_{0.025}$.\n",
    "\n",
    "Si on teste $H_0$ : $\\theta= \\theta_0$ les deux valeurs critiques sont \n",
    "$$ \n",
    "z_{0.025}=F^{-1}_{\\text{Normale}}(1- 0.025)=F^{-1}_{\\text{Normale}}(0.975)\n",
    "$$\n",
    "\n",
    "où $x\\mapsto F_{\\text{Normale}}(x)$ est la fonction de répartition d'une loi normale $N(0,1)$.\n",
    "\n",
    "CC.: On rejète $H_0$ si la valeur du Test_Statistique$< -z_{0.25}$ ou Test_Statistique$> z_{0.25}$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 133,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "z_{0.025} is :  1.959963984540054\n",
      "-z_{0.025} is :  -1.959963984540054\n",
      "On ne rejète pas H_0\n"
     ]
    }
   ],
   "source": [
    "z_critic_1=stats.norm.ppf(0.975, 0, 1)\n",
    "z_critic_2=-z_critic_1\n",
    "\n",
    "print('z_{0.025} is : ', z_critic_1)\n",
    "print('-z_{0.025} is : ', z_critic_2)\n",
    "\n",
    "if (test_statistic<z_critic_2 or test_statistic>z_critic_1  ) :\n",
    "    print('On rejète H_0')\n",
    "    \n",
    "else:\n",
    "     print('On ne rejète pas H_0')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### t-Test (Student) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "t-Test fait appel à la loi de Student pour comparer deux moyennes de deux échantillons différents\n",
    "\n",
    "1- $H_0$: $\\mu_1-\\mu_2=\\theta_0$, $H_A$: $\\mu_1-\\mu_2\\neq \\theta_0$\n",
    "\n",
    "2- $H_0$: $\\mu_1-\\mu_2\\le\\theta_0$, $H_A$: $\\mu_1-\\mu_2> \\theta_0$\n",
    "\n",
    "3- $H_0$: $\\mu_1-\\mu_2\\ge\\theta_0$, $H_A$: $\\mu_1-\\mu_2 <\\theta_0$\n",
    "\n",
    "On supposera dans cet exemple que $\\mu_1,\\mu_2$ sont respectivement les moyennes de rendement de 'SPY' (indice boursier américain) et 'AAPL' (Apple) et $\\theta_0$ est le paramètre qu'on veut tester. On va tester si ces deux indices ont les mêmes moyennes de rendement.\n",
    "\n",
    "$H_0$ : $\\mu_1-\\mu2=0$, \n",
    "\n",
    "###### Les variances des deux échantillons sont égales\n",
    "\n",
    "Sous cette hypothèse le test statstique est donné par \n",
    "\n",
    "$$\n",
    "\\text{Test_Statistique}= \\frac{(\\bar X_{\\mu_1}-\\bar X_{\\mu_2})-(\\mu_1-\\mu_2)}{\\Big(\\frac{S^2_p}{n_1}+\\frac{S^2_p}{n_2}\\Big)^{1/2}}\n",
    "$$\n",
    "cette quantité est égale dans notre, sous $H_0$ on a ($\\theta_0=0$)\n",
    "$$\n",
    "\\text{Test_Statistique}= \\frac{(\\bar X_{\\mu_1}-\\bar X_{\\mu_2})}{\\Big(\\frac{S^2_p}{n_1}+\\frac{S^2_p}{n_2}\\Big)^{1/2}}\n",
    "$$\n",
    "\n",
    "avec \n",
    "\n",
    "$$\n",
    "S^2_p=\\frac{(n_1-1){\\bar{\\sigma_1}}^2+(n_2-1){\\bar{\\sigma_2}}^2}{n_1+n_2-2}\n",
    "$$\n",
    "\n",
    "c'est l'estimateur sans biais de la variance commune et $n_1$, $n_2$, représentant les tailles respectives des deux échantillons (SPY et AAPL). \n",
    "\n",
    "Dans ce cas, sous $H_0$ le test statstique est comparé à une loi de student avec $n_1+n_2-2$ degré de liberté :\n",
    "$t(n_1+n_2-2)$.\n",
    "\n",
    "###### Les variances des deux échantillons ne sont pas égales\n",
    "\n",
    "Sous cette hypothèse le test statstique est donné par \n",
    "\n",
    "$$\n",
    "\\text{Test_Statistique}= \\frac{(\\bar X_{\\mu_1}-\\bar X_{\\mu_2})-(\\mu_1-\\mu_2)}{\\Big(\\frac{{\\bar{\\sigma_1}}^2}{n_1}+ \\frac{{\\bar{\\sigma_2}}^2}{n_2}\\Big)^{1/2}}\n",
    "$$\n",
    "cette quantité est égale sous $H_0$ dans notre exemple à  ($\\theta_0=0$)\n",
    "$$\n",
    "\\text{Test_Statistique}=\\frac{(\\bar X_{\\mu_1}-\\bar X_{\\mu_2})}{\\Big(\\frac{{\\bar{\\sigma_1}}^2}{n_1}+ \\frac{{\\bar{\\sigma_2}}^2}{n_2}\\Big)^{1/2}}\n",
    "$$\n",
    "avec ${\\bar{\\sigma_1}}^2$ et ${\\bar{\\sigma_2}}^2$ sont respectivement les variances empiriques des deux échantuillons. \n",
    "\n",
    "Cette quantité est comparée à une loi de student avec $d_f$ degré de liberté  $ t(d_f)$ où \n",
    "\n",
    "\n",
    "$$\n",
    "d_f:=\\frac{\\Big(\\frac{{\\bar{\\sigma_1}}^2}{n_1}+ \\frac{{\\bar{\\sigma_2}}^2}{n_2}\\Big)^{2}}{\\frac{\\Big(\\frac{{\\bar{\\sigma_1}}^2}{n_1}\\Big)^2}{n_1}+\\frac{\\Big(\\frac{{\\bar{\\sigma_2}}^2}{n_2}\\Big)^2}{n_2}}\n",
    "$$\n",
    "\n",
    "$\\bullet$ **Test unilateral.** $\\mu_1-\\mu_2\\le\\theta_0$ la  $p$-value$=1-F_{t}(\\text{Test_Statistique})$\n",
    "\n",
    "$\\bullet$ **Test unilateral.** $\\mu_1-\\mu_2\\ge\\theta_0$ la $p$-value$=F_{t}(\\text{Test_Statistique})$\n",
    "\n",
    "$\\bullet$ **Test bilateral.** $\\mu_1-\\mu_2=\\theta_0$ la $p$-value$=2\\Big(1-F_{t}(\\text{Test_Statistique})\\Big)$\n",
    "\n",
    "\n",
    "La $p$-value représente le niveau de signification minimum à partir duquel on peut rejeter l'hypothèse nulle $H_0$\n",
    "\n",
    "###### Règle de rejet :\n",
    "\n",
    "Si la $p$-value est plus petite que $\\alpha$ le niveau de signfication choisi on rejète $H_0$, si c'est plus grand \n",
    "on ne rejette pas $H_0$.\n",
    "\n",
    "###### Remarque \n",
    "Le $t$-test peut s'appliquer avec un seul échantillon on supposant que le deuxième est nul. Donc on peut appliquer \n",
    "le $t$-test pour comparer la moyenne de rendement de 'MSFT' à la valeur 0 (Test bilatéral). Dans ce cas \n",
    "\n",
    "$$\n",
    "\\text{Test_Statistique}= \\frac{\\bar X_{\\mu}}{\\Big(\\frac{{\\bar{\\sigma}}^2}{n}\\Big)^{1/2}}=\\sqrt{n}\\frac{\\bar X_{\\mu}}{{\\bar{\\sigma}}}\n",
    "$$\n",
    "\n",
    "Comme on n'a qu'une seule variance la $p$-value est calculée avec $t(n-1)$ car on rappelle que dans cet exemple\n",
    "$n_1=n$ et $n_2=0$.\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 134,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "P-value is:  0.40014267388122793\n"
     ]
    }
   ],
   "source": [
    "from scipy.stats import t \n",
    "\n",
    "n = len(returns_sample)\n",
    "test_statistic = np.sqrt(n)*(returns_sample.mean() - 0) /(returns_sample.std())\n",
    "\n",
    "p_val = 2 * (1 - t.cdf(test_statistic, n - 1))\n",
    "print('P-value is: ', p_val)\n",
    "\n",
    "#p_value= 0.45 >alpha=0.0.5 on dit qu'on est pas capable de rejeter H0"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "La valeur $0.45699978437242383 > \\alpha:=0.05$ donc on n'est pas en mesure de rejeter l'hypothèse $H_0$, selon le $t$-test. \n",
    "\n",
    "On conclut que selon $t$-test la moyenne des rendements de 'MSFT'  n'est pas significativement differente de 0.  \n",
    "\n",
    "Donc le $t$-test consolide le $z$-test."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 135,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\lione\\AppData\\Local\\Temp\\ipykernel_42940\\2026931193.py:4: FutureWarning: YF.download() has changed argument auto_adjust default to True\n",
      "  pricing_sample=yf.download(symbol_list, start, end).loc[:,'Close']\n",
      "[*********************100%***********************]  2 of 2 completed"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Ticker          AAPL       SPY\n",
      "Date                          \n",
      "2015-01-05 -0.028171 -0.018060\n",
      "2015-01-06  0.000094 -0.009419\n",
      "2015-01-07  0.014022  0.012461\n",
      "2015-01-08  0.038423  0.017745\n",
      "2015-01-09  0.001072 -0.008013\n",
      "...              ...       ...\n",
      "2015-12-24 -0.005340 -0.001650\n",
      "2015-12-28 -0.011201 -0.002285\n",
      "2015-12-29  0.017974  0.010672\n",
      "2015-12-30 -0.013059 -0.007088\n",
      "2015-12-31 -0.019195 -0.010003\n",
      "\n",
      "[251 rows x 2 columns]\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x1000 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "symbol_list = [\"SPY\", \"AAPL\"]\n",
    "\n",
    "start, end = dt.datetime(2015, 1, 1), dt.datetime(2016, 1, 1)\n",
    "pricing_sample=yf.download(symbol_list, start, end).loc[:,'Close']\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "returns_sample = pricing_sample.pct_change()[1:]\n",
    "returns_sample.plot()\n",
    "plt.ylabel('Returns')\n",
    "print(returns_sample)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 136,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "9.833437162410472e-05\n",
      "5.78952911326405e-05\n",
      "t test statistic:  0.032894915272456964\n",
      "Degrees of freedom (modified):  401.6758291254053\n",
      "P-value is:  0.9737747268798784\n"
     ]
    }
   ],
   "source": [
    "# Sample mean values\n",
    "mu_spy = returns_sample['SPY'].mean()\n",
    "mu_aapl=returns_sample['AAPL'].mean()\n",
    "print(mu_spy)\n",
    "print(mu_aapl)\n",
    "# standard deviation\n",
    "s_aapl = returns_sample['AAPL'].std()\n",
    "s_spy = returns_sample['SPY'].std()\n",
    "# sample sizes\n",
    "n_spy = len(returns_sample['SPY'])\n",
    "n_aapl = len(returns_sample['AAPL'])\n",
    "\n",
    "#t-test \n",
    "# We suppose that both index have different variances\n",
    "\n",
    "test_statistic = ((mu_spy - mu_aapl) - 0)/((s_spy**2/n_spy) + (s_aapl**2/n_aapl))**0.5\n",
    "\n",
    "df = ((s_spy**2/n_spy) + (s_aapl**2/n_aapl))**2/(((s_spy**2 / n_spy)**2 /n_spy)+((s_aapl**2 / n_aapl)**2/n_aapl))\n",
    "\n",
    "print('t test statistic: ', test_statistic)\n",
    "print('Degrees of freedom (modified): ', df)\n",
    "\n",
    "\n",
    "p_val = 2 * (1 - t.cdf(test_statistic, df))\n",
    "print('P-value is: ', p_val)\n",
    "# d'après la p_value on n'est pas en mesure de rejetter H_0\n",
    "\n",
    "# t-test est connu sous le nom de Welch's unequal variances t-test.\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#####  t-Test et valeurs critiques "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Notre Test-Statisque correspond à une loi de Student dont on connait le paramètre\n",
    "on peut avoir un intervalle de confiance (comme pour le $z$-test ) et faire un test bilateral avec deux valeurs critiques. \n",
    "\n",
    "Comme $\\alpha=0.05$ pour le test bilatéral partage en 0.025 des deux côtés et les valeurs critiques sont \n",
    "\n",
    "$t_{\\text{critic},1}=F_t^{-1}(1-0.025)$\n",
    "\n",
    "$t_{\\text{critic},2}=F_t^{-1}(0.025)$\n",
    "\n",
    "Si la valeur de Test_Statistique appartient l'intervalle $[t_{\\text{critic},2},t_{\\text{critic},1}]$ alors on ne peut pas rejeter $H_0$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 137,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.032894915272456964\n",
      "t test statistic:  0.032894915272456964\n",
      "Degrees of freedom (modified):  401.6758291254053\n",
      "1.9658874524974685 -1.965887452497469\n"
     ]
    }
   ],
   "source": [
    "\n",
    "# valeurs critiques (test bilateral): \n",
    "\n",
    "test_statistic = ((mu_spy - mu_aapl) - 0)/((s_spy**2/n_spy) + (s_aapl**2/n_aapl))**0.5\n",
    "\n",
    "print(test_statistic)\n",
    "\n",
    "df = ((s_spy**2/n_spy) + (s_aapl**2/n_aapl))**2/(((s_spy**2 / n_spy)**2 /n_spy)+((s_aapl**2 / n_aapl)**2/n_aapl))\n",
    "\n",
    "print('t test statistic: ', test_statistic)\n",
    "print('Degrees of freedom (modified): ', df)\n",
    "\n",
    "\n",
    "print(t.ppf(0.975, df), t.ppf(0.025, df))\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "La valeur $0.22 \\in [-1.96;1.96]$ donc on n'est pas en mesure de rejeter l'hypothèse $H_0$, selon le $t$-test bilatéral. \n",
    "\n",
    "##### Conclusion \n",
    "\n",
    "La moyenne de rendement de Apple n'est pas significativement différente de celle de SP500."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Test d'hypothèses sur les variances\n",
    "\n",
    "Si nous voulons tester les variances de populations, nous devons utiliser une distribution différente des distributions $t$ et $z$. Les variances doivent, par définition, être supérieures à (ou égales à) $0$, et le fait que les distributions avec lesquelles nous avons travaillé jusqu'à présent permettent des valeurs négatives les rend inadaptées en tant que distributions de test. \n",
    "\n",
    "Au lieu des distributions $t$ et $z$, nous travaillerons avec les distributions $\\chi^2$ pour les tests de variance simple et les distributions $F$ pour les comparaisons de variance. Ces distributions sont bornées en dessous par $0$, ce qui les rend adaptées aux tests de cette manière.\n",
    "\n",
    "Tout comme avec tous nos autres tests d'hypothèses, les tests d'une seule variance peuvent prendre trois formes :\n",
    "\n",
    "1. $H_0 : \\sigma^2 = \\sigma_0^2, \\ H_A : \\sigma^2 \\neq \\sigma_0^2$\n",
    "2. $H_0 : \\sigma^2 \\leq \\sigma_0^2, \\ H_A : \\sigma^2 > \\sigma_0^2$\n",
    "3. $H_0 : \\sigma^2 \\geq \\sigma_0^2, \\ H_A : \\sigma^2 < \\sigma_0^2$\n",
    "\n",
    "La distribution $\\chi^2$ est déterminée par le nombre de degrés de liberté. La forme de la distribution est différente pour chaque valeur différente du nombre de degrés de liberté, $k$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 138,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.stats import chi2\n",
    "from matplotlib.pylab import rcParams\n",
    "rcParams['figure.figsize'] = 12, 10"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 139,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x1000 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Here we show what a chi-square looks like\n",
    "x = np.linspace(0, 8, 100)\n",
    "y_1 = chi2.pdf(x, 1)\n",
    "y_2 = chi2.pdf(x, 2)\n",
    "y_3 = chi2.pdf(x, 3)\n",
    "y_4 = chi2.pdf(x, 4)\n",
    "y_6 = chi2.pdf(x, 6)\n",
    "y_9 = chi2.pdf(x, 9)\n",
    "\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "ax.plot(x, y_1, label = 'k = 1')\n",
    "ax.plot(x, y_2, label = 'k = 2')\n",
    "ax.plot(x, y_3, label = 'k = 3')\n",
    "ax.plot(x, y_4, label = 'k = 4')\n",
    "ax.plot(x, y_6, label = 'k = 6')\n",
    "ax.plot(x, y_9, label = 'k = 9')\n",
    "ax.legend()\n",
    "plt.title('Chi-Square distribution with k degrees of freedom')\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('p(x)');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Nous calculons la statistique de test $\\chi^2$ comme suit :\n",
    "\n",
    "$$ \\chi^2 = \\frac{(n - 1)s^2}{\\sigma_0^2} $$\n",
    "\n",
    "Où $s^2$ est la variance de l'échantillon et $n$ est la taille de l'ensemble de données. Le nombre de degrés de liberté est $n - 1$, et cela est utilisé en conjonction avec la statistique de test pour déterminer la (les) valeur(s) critique(s) de notre test d'hypothèse $\\chi^2$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 140,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\lione\\AppData\\Local\\Temp\\ipykernel_42940\\2958853591.py:2: FutureWarning: YF.download() has changed argument auto_adjust default to True\n",
      "  pricing_sample=yf.download('MSFT', start, end).loc[:,'Close']\n",
      "[*********************100%***********************]  1 of 1 completed"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
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",
      "text/plain": [
       "<Figure size 1200x1000 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "start, end = dt.datetime(2015, 1, 1), dt.datetime(2016, 1, 1)\n",
    "pricing_sample=yf.download('MSFT', start, end).loc[:,'Close']\n",
    "\n",
    "returns_sample = pricing_sample.pct_change()[1:]\n",
    "plt.plot(returns_sample.index, returns_sample.values)\n",
    "plt.ylabel('Returns');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Maintenant, nous allons utiliser un test $\\chi^2$ pour évaluer la valeur de la variance de l'action Microsoft. Disons que nous voulons utiliser $\\alpha = 0.01$ pour tester si la variance de MSFT est inférieure ou égale à $0.0001$ (c'est-à-dire que l'écart type, ou le risque, est inférieur ou égal à $0.01$).\n",
    "\n",
    "\n",
    "\\begin{align*}\n",
    "&H_0: \\sigma^2 \\leq 0.0001 \\\\\n",
    "&H_A: \\sigma^2 > 0.0001\n",
    "\\end{align*}\n",
    "\n",
    "\n",
    "Donc, maintenant, nous calculons notre statistique de test :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 141,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Chi-square test statistic:  Ticker\n",
      "MSFT    792.096007\n",
      "dtype: float64\n"
     ]
    }
   ],
   "source": [
    "test_statistic = (len(returns_sample)-1)*returns_sample.var()/(0.0001)\n",
    "print('Chi-square test statistic: ', test_statistic)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 142,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Critical value at a = 0.01 with 251 df:  200.93862345528606\n"
     ]
    }
   ],
   "source": [
    "# Here we calculate the critical value directly because our df is too high for most chisquare tables\n",
    "crit_value = chi2.ppf(0.01, df=len(returns_sample)-1)\n",
    "print('Critical value at a = 0.01 with 251 df: ', crit_value)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Parce que nous utilisons la formulation « inférieure ou égale à » d'un test d'hypothèse unilatéral, nous rejetons l'hypothèse nulle si notre statistique de test est supérieure à la valeur critique. Puisque $795.328 > 200.938$, nous rejetons l'hypothèse nulle en faveur de l'alternative et affirmons que $\\sigma^2 > 0.0001$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Comparaison de deux variances\n",
    "\n",
    "Nous pouvons comparer les variances de deux éléments distincts en utilisant la distribution $F$ de FISCHER. Lors de la construction d'une comparaison de variances à l'aide d'un test $F$, les formulations d'hypothèses sont les suivantes (au cas où vous ne voulez pas faire défiler vers le haut) :\n",
    "\n",
    "1. $H_0 : \\sigma_1^2 = \\sigma_2^2, \\ H_A : \\sigma_1^2 \\neq \\sigma_2^2$\n",
    "2. $H_0 : \\sigma_1^2 \\leq \\sigma_2^2, \\ H_A : \\sigma_1^2 > \\sigma_2^2$\n",
    "3. $H_0 : \\sigma_1^2 \\geq \\sigma_2^2, \\ H_A : \\sigma_1^2 < \\sigma_2^2$\n",
    "\n",
    "La distribution $F$ est similaire à la distribution $\\chi^2$ en ce qu'elle est asymétrique et bornée inférieurement par $0$. La distribution $F$ est définie avec deux valeurs différentes de degrés de liberté.  Une distribution $F$ peut être construite à partir de deux distributions $\\chi^2$ distinctes. $X$ est une variable aléatoire $F$ si elle peut être écrite comme $X = \\frac{Y_1/d_1}{Y_2/d_2}$, où $Y_1$ et $Y_2$ sont des variables aléatoires $\\chi^2$ avec des degrés de liberté $d_1$ et $d_2$, respectivement.\n",
    "\n",
    "Une variable aléatoire $F$ est essentiellement un rapport de variances. Par conséquent, la construction de la statistique de test $F$ se fait en prenant le rapport des variances échantillonnées des données que nous voulons tester. Nous pouvons simplement choisir $\\sigma_1^2$ et $\\sigma_2^2$ pour représenter l'une ou l'autre des variances que nous comparons afin que notre statistique F soit supérieure à $1$.\n",
    "\n",
    "$$ F = \\frac{s_1^2}{s_2^2} $$\n",
    "\n",
    "Comparons SPY et AAPL pour voir si leurs variances sont les mêmes (un test d'hypothèse 'non égal à'). Nous utiliserons un test avec $\\alpha = 0.05$. Rappelez-vous que pour un test bilatéral, nous calculons les valeurs critiques inférieure et supérieure en utilisant les valeurs de $\\alpha/2$. Recueillons les données et calculons la statistique de test.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 143,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\lione\\AppData\\Local\\Temp\\ipykernel_42940\\1871843737.py:3: FutureWarning: YF.download() has changed argument auto_adjust default to True\n",
      "  pricing_sample=yf.download(symbol_list, start, end).loc[:,'Close']\n",
      "[*********************100%***********************]  2 of 2 completed"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Ticker          AAPL       SPY\n",
      "Date                          \n",
      "2015-01-05 -0.028171 -0.018060\n",
      "2015-01-06  0.000094 -0.009419\n",
      "2015-01-07  0.014022  0.012461\n",
      "2015-01-08  0.038423  0.017745\n",
      "2015-01-09  0.001072 -0.008013\n",
      "...              ...       ...\n",
      "2015-12-24 -0.005340 -0.001650\n",
      "2015-12-28 -0.011201 -0.002285\n",
      "2015-12-29  0.017974  0.010672\n",
      "2015-12-30 -0.013059 -0.007088\n",
      "2015-12-31 -0.019195 -0.010003\n",
      "\n",
      "[251 rows x 2 columns]\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "symbol_list = [\"SPY\", \"AAPL\"]\n",
    "start, end = dt.datetime(2015, 1, 1), dt.datetime(2016, 1, 1)\n",
    "pricing_sample=yf.download(symbol_list, start, end).loc[:,'Close']\n",
    "\n",
    "returns_sample = pricing_sample.pct_change()[1:]\n",
    "print(returns_sample)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 144,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "SPY standard deviation is:  0.009740513410855169\n",
      "AAPL standard deviation is:  0.016865756283980054\n"
     ]
    }
   ],
   "source": [
    "# Take returns from above, AAPL and SPY, and compare their variances\n",
    "aapl_std_dev, spy_std_dev = returns_sample.std()\n",
    "print('SPY standard deviation is: ', spy_std_dev)\n",
    "print('AAPL standard deviation is: ', aapl_std_dev)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Notez que l'écart-type d'AAPL est supérieur à l'écart-type de SPY. Par conséquent, nous choisissons $\\sigma_1^2$ pour représenter la variance d'AAPL et $\\sigma_2^2$ pour représenter la variance de SPY.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 145,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "F Test statistic:  2.9981126262922846\n"
     ]
    }
   ],
   "source": [
    "test_statistic = (aapl_std_dev**2) / (spy_std_dev**2)\n",
    "print(\"F Test statistic: \", test_statistic)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 146,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Degrees of freedom for SPY:  250\n",
      "Degrees of freedom for AAPL:  250\n"
     ]
    }
   ],
   "source": [
    "# Since these values are taken over the same time period, they will have the same number of degrees of freedom\n",
    "df1 = len(returns_sample['AAPL']) - 1\n",
    "df2 = len(returns_sample['SPY']) - 1\n",
    "\n",
    "print('Degrees of freedom for SPY: ', df2)\n",
    "print('Degrees of freedom for AAPL: ', df1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 147,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.stats import f"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 148,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Upper critical value at a = 0.05 with df1 = 250 and df2 = 250:  1.2820806494835295\n",
      "Lower critical value at a = 0.05 with df1 = 250 and df2 = 250:  0.7799821332634866\n"
     ]
    }
   ],
   "source": [
    "upper_crit_value = f.ppf(0.975, df1, df2)\n",
    "lower_crit_value = f.ppf(0.025, df1, df2)\n",
    "print('Upper critical value at a = 0.05 with df1 = {0} and df2 = {1}: '.format(df1, df2), upper_crit_value)\n",
    "print('Lower critical value at a = 0.05 with df1 = {0} and df2 = {1}: '.format(df1, df2), lower_crit_value)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Nous constatons que la valeur de notre statistique F est supérieure à la valeur critique supérieure pour notre test F. Ainsi, nous **rejetons** l'hypothèse nulle en faveur de l'alternative et concluons que les variances d'AAPL et de SPY diffèrent effectivement.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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