{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Práctica 5: Distribuciones de probabilidad de variables continuas\n",
    "\n",
    "## Objetivos \n",
    "\n",
    "Familiarizarse con las distribuciones de probabilidad normal y t de Student, como herramientas para calcular la probabilidad \n",
    "\n",
    "## Protocolo \n",
    "\n",
    "Descarga de la carpeta “prácticas” del Tema 5 el archivo de comandos “practica5.R”. Abre R y selecciona Archivo>>>Interpretar código fuente. Este comando importa una serie de funciones escritas para esta práctica. Si tienes curiosidad puedes examinar el contenido del archivo y/o modificarlo a tu gusto. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "muestreo <- function (a) {\n",
    "experiment<-rnorm(a)\n",
    "hist (experiment,prob=TRUE)\n",
    "x=seq(-4,4,length=200)\n",
    "th=dnorm(x)\n",
    "lines (x,th)\n",
    "}\n",
    "\n",
    "normal <-function (a,b) {\n",
    "x=seq(a-4*b,a+4*b, length=200)\n",
    "y=dnorm(x,a,b)\n",
    "plot(x,y,type=\"l\",lwd=2, col=\"red\")\n",
    "}\n",
    "\n",
    "tstudent <-function (df) {\n",
    "x=seq(-4,4, length=200)\n",
    "y=dt(x,df)\n",
    "dflab <- paste(\"df =\",df)\n",
    "plot(x,y,type=\"l\",lwd=2, col=\"red\", ylim=c(0.0,0.40),\n",
    "     main=dflab)\n",
    "}\n",
    "\n",
    "qnormGRAPH <-function (a){\n",
    "x=seq(-4,4,length=200)\n",
    "y=dnorm(x)\n",
    "plot(x,y,type=\"l\",lwd=2, col=\"red\")\n",
    "\n",
    "x=seq(-4,qnorm(a),length=200)\n",
    "y=dnorm(x)\n",
    "polygon(c(-4,x,qnorm(a)),c(0,y,0),col=\"gray\")\n",
    "\n",
    "text (0,0.1,format (qnorm(a),digits=4))\n",
    "}\n",
    "\n",
    "dnormGRAPH <-function (a){\n",
    "x=seq(-4,4,length=200)\n",
    "y=dnorm(x)\n",
    "plot(x,y,type=\"l\",lwd=2, col=\"red\")\n",
    "\n",
    "x=seq(-4,a,length=200)\n",
    "y=dnorm(x)\n",
    "polygon(c(-4,x,a),c(0,y,0),col=\"gray\")\n",
    "\n",
    "text (0,0.1,format(pnorm(a),digits=4))\n",
    "}\n",
    "\n",
    "pnormGRAPH <- function(a) {\n",
    "x<-seq(-4,4,length=200)\n",
    "y=pnorm(x)\n",
    "plot(x,y,type=\"l\",lwd=2)\n",
    "\n",
    "lines(c(-4,a),c(pnorm(a),pnorm(a)),col=\"red\")\n",
    "lines(c(a,a),c(0,pnorm(a)),col=\"red\")\n",
    "\n",
    "text (a,0,format(a,digits=4), pos=4)\n",
    "text (-4,pnorm(a)+0.02,format(pnorm(a), digits=4), pos=4)\n",
    "}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Imagina que estás estudiando una variable que sigue una distribución normal. ¿Cómo se refleja esto en los valores de esa variable que puedo medir en muestras? La función “muestreo (n)” te permite simular los valores de esa variable en muestras de distintos tamaños (n), representados en forma de histogramas. \n",
    "\n",
    "Teclea varias veces > muestreo (20) Cada vez que llames a la función obtendrás valores distintos. En cada histograma se representa una distribución normal, como referencia. Aumenta progresivamente el tamaño de la muestra y anota cómo cambia. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
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uaHZVYEJDF9eZPzpu8CV4P/2LD1vowm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",
      "text/plain": [
       "Plot with title “Histogram of experiment”"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      },
      "text/plain": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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kJIhCAkdSEkQhCSuhASIQhJXQiJEISk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\nAQjw/2pHUmnlJHl4AAAAAElFTkSuQmCC",
      "text/plain": [
       "Plot with title “Histogram of experiment”"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      },
      "text/plain": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "muestreo(200)\n",
    "muestreo(10)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "La distribución normal puede representarse gráficamente usando el comando “normal(x,sd)”, donde x es la media de la variable aleatoria y sd su desviación estándar. Prueba a llamarla con distintos valores de x y sd.  > normal (0,1) > normal (10,5) > normal (3082,450) Como verás, la forma no cambia, solo la escala. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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pBOGxZEJA0Zoo8+0t/+pn371K6d7TQAwsI1N08AcL2VK+X3SxQ7S8zL7vcHdv4A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\ni6DYAQAAWMT/A7qaSWfwYR5VAAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      },
      "text/plain": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "normal(0,1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "La distribución normal permite calcular la probabilidad de que la variable tome valores dentro de un cierto intervalo. Esto puede hacerse calculando el área encerrada bajo la curva, en el gráfico de densidad de probabilidad o leyendo la altura en un gráfico de probabilidad acumulada. Por ejemplo, para una variable con media 560 y desviación estándar 24, calcula la probabilidad de obtener valores menores de 590.  # calculamos el valor estandarizado restando la media y dividiendo por sd > (590-560)/24Se obtiene como valor normalizado 1.25 #calculamos la probabilidad acumulada como  > pnorm(1.25)\n",
    "\n",
    "Este valor nos indica la probabilidad de obtener valores menores y corresponde a la superficie encerrada bajo la curva desde menos infinito hasta 1.25 en el gráfico de densidad. Para verlo gráficamente usando los comandos # como área bajo la curva, desde menos infinito hasta este valor > dnormGRAPH(1.25) #como valor de la integral de la curva anterior > pnormGRAPH(1.25)\n",
    "\n",
    "Usa estos comandos con distintos valores \n",
    "Calcula las siguientes probabilidades y anota los resultados  \n",
    "\n",
    "* Variable con media=725 y sd=40  \n",
    "* valores menores de 700 \n",
    "* valores mayores de 780 Variable con media=0.15 y sd=0.05  \n",
    "* valores menores de 0.10 \n",
    "* valores mayores de 0.20 \n",
    "* valores entre 0.10 y 0.20 \n",
    "\n",
    "Otro modo de usar la distribución es encontrar el valor para el cual se obtiene una cierta probabilidad. Por ejemplo, en teoría hemos visto que para una variable normalizada con media 0 y sd 1, el 95% de la probabilidad está entre -1.96 y 1.96. Esto quiere decir que hay un 2.5% de probabilidad en cada lado. Esto puede comprobarse usando el comando qnorm con el valor 0.975 > qnorm (0.975)  Y representarse con qnormGRAPH > qnormGRAPH (0.975) Prueba estos comandos con otros valores "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Por último usa el comando **tstudent (dof)** para representar la distribución t de Student con distintos grados de libertad. Teclea > tstudent (100) y ve disminuyendo el valor del número de grados de libertad, anotando los cambios que observes. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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YnNmjVrbnbOOa2goKBly5YhjwagvvwDhSxNHHD+p5TRWCCSOKbYXXvttW+99day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\nrkJggg==",
      "text/plain": [
       "Plot with title “df = 100”"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      },
      "text/plain": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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ATFDoBbjRun48cl6R//UMOGAf7mCQl6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",
      "text/plain": [
       "Plot with title “df = 10”"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      },
      "text/plain": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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/1mOgoAO6LYAXCC5GTl5EghX+yst5+To+XLDScBYEsUOwBOYA0fo6NDayexczVt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",
      "text/plain": [
       "Plot with title “df = 1”"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      },
      "text/plain": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "tstudent(100)\n",
    "tstudent(10)\n",
    "tstudent(1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "No cierres la aplicación y contesta el cuestionario de la práctica 5 que encontrarás en Moodle."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Pregunta 1\n",
    "\n",
    "Al usar el comando muestreo. ¿Qué representa el histograma? ¿Se parece a la curva teórica? ¿A partir de qué tamaño de muestra la semejanza es más aparente?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Pregunta 2\n",
    "\n",
    "Probabilidad calculada para valores menores de 700 (3 decimales)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Pregunta 3\n",
    "\n",
    "Probabilidad calculada para valores mayores de 780 (3 decimales)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Pregunta 4\n",
    "\n",
    "Probabilidad calculada para valores menores de 0.10 (3 decimales)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Pregunta 5\n",
    "\n",
    "Probabilidad calculada para valores mayores de 0.20 (3 decimales)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Pregunta 6\n",
    "\n",
    "Probabilidad calculada para valores entre 0.10 y  0.20 (3 decimales)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Pregunta 7\n",
    "\n",
    "¿Por qué se usa un valor de 0.975 en qnorm para comprobar los límites que encierran el 95% de la probabilidad?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Pregunta 8\n",
    "\n",
    "¿Qué diferencias observas entre la distribución normal y la t de Student? "
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "R",
   "language": "R",
   "name": "ir"
  },
  "language_info": {
   "codemirror_mode": "r",
   "file_extension": ".r",
   "mimetype": "text/x-r-source",
   "name": "R",
   "pygments_lexer": "r",
   "version": "4.0.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}