statystical-analysis-of-learning-performance.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Badanie czynników wpływających na wyniki w nauce\n",
    "### Autor: Maria Mikołajczak\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1. Informacje o zbiorze danych\n",
    "+ **Autorzy**: Elaf Abu Amrieh, Thair Hamtini, and Ibrahim Aljarah, The University of Jordan, Amman, Jordan, http://www.Ibrahimaljarah.com\n",
    "www.ju.edu.jo\n",
    "+ **Sposób zebrania danych:** Dane pochodzą z obserwacji, z programu typu learning management system (Kallboard 360). Jest to program, który został zaprojektowany w celu ułatwienia procesu uczenia się w trybie online. Głownym celem systemu LMS jest monitorowanie postępów w nauce i uczestnictwa w zajęciach. Dane na temat fukncji behawioralnych zostały zgromadzone za pomocą specjalnego komponentu do monitorowania aktywności ucznia- xAPI. Narzędzie to pozwala między innymi monitorować zachowanie uczącego się takie jak czytanie materiałów czy oglądanie filmów edukacyjnych.\n",
    "+ **Odniesienia** (autorzy zbioru danych proszą, aby dodać odniesienie do ich opracowań w przypadku skorzystania z danych):\n",
    "    + Amrieh, E. A., Hamtini, T., & Aljarah, I. (2016). Mining Educational Data to Predict Student’s academic Performance using Ensemble Methods. International Journal of Database Theory and Application, 9(8), 119-136.\n",
    "    + Amrieh, E. A., Hamtini, T., & Aljarah, I. (2015, November). Preprocessing and analyzing educational data set using X-API for improving student's performance. In Applied Electrical Engineering and Computing Technologies (AEECT), 2015 IEEE Jordan Conference on (pp. 1-5). IEEE.\n",
    "  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "data <- read.csv(\"./xAPI-Edu-Data.csv\",  stringsAsFactors = TRUE)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Dodatki do wizualizacji i analizy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "suppressMessages(library(e1071)) \n",
    "suppressMessages(library(dplyr))\n",
    "suppressMessages(library(ggplot2))\n",
    "suppressMessages(library(gridExtra))\n",
    "suppressMessages(library(caret))\n",
    "library(nnet)\n",
    "w=13\n",
    "h=8\n",
    "options(repr.plot.width=w, repr.plot.height=h)\n",
    "\n",
    "center_title <- theme(plot.title = element_text(hjust = 0.5))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2. Ogólna charakterystyka danych\n",
    "+ Liczność próby- **480** uczniów z różnych krajów\n",
    "+ Dane obejmują pomiar 16 cech, które można podzielić na trzy główne kategorie:\n",
    "    1. **cechy demograficzne** (np. narodowość płeć, pochodzenie)\n",
    "    2. **podstawowe cechy na temat edukacji** (np. etap edukacji, główny temat kursu)\n",
    "    3. **funkcje behawioralne** (np. liczba podniesień ręki w czasie lekcji, wyniki ankiety dla rodziców)\n",
    "+ Ostatnia, siedemnasta kolumna danych to przydział do jednego z trzech interwałów według całkowitej oceny:\n",
    "    * Low (L) - [0,69]\n",
    "    * Middle (M)- [70, 89]\n",
    "    * High (H)- [90, 100]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "'data.frame':\t480 obs. of  17 variables:\n",
      " $ gender                  : Factor w/ 2 levels \"F\",\"M\": 2 2 2 2 2 1 2 2 1 1 ...\n",
      " $ NationalITy             : Factor w/ 14 levels \"Egypt\",\"Iran\",..: 5 5 5 5 5 5 5 5 5 5 ...\n",
      " $ PlaceofBirth            : Factor w/ 14 levels \"Egypt\",\"Iran\",..: 5 5 5 5 5 5 5 5 5 5 ...\n",
      " $ StageID                 : Factor w/ 3 levels \"HighSchool\",\"lowerlevel\",..: 2 2 2 2 2 2 3 3 3 3 ...\n",
      " $ GradeID                 : Factor w/ 10 levels \"G-02\",\"G-04\",..: 2 2 2 2 2 2 5 5 5 5 ...\n",
      " $ SectionID               : Factor w/ 3 levels \"A\",\"B\",\"C\": 1 1 1 1 1 1 1 1 1 2 ...\n",
      " $ Topic                   : Factor w/ 12 levels \"Arabic\",\"Biology\",..: 8 8 8 8 8 8 9 9 9 8 ...\n",
      " $ Semester                : Factor w/ 2 levels \"F\",\"S\": 1 1 1 1 1 1 1 1 1 1 ...\n",
      " $ Relation                : Factor w/ 2 levels \"Father\",\"Mum\": 1 1 1 1 1 1 1 1 1 1 ...\n",
      " $ raisedhands             : int  15 20 10 30 40 42 35 50 12 70 ...\n",
      " $ VisITedResources        : int  16 20 7 25 50 30 12 10 21 80 ...\n",
      " $ AnnouncementsView       : int  2 3 0 5 12 13 0 15 16 25 ...\n",
      " $ Discussion              : int  20 25 30 35 50 70 17 22 50 70 ...\n",
      " $ ParentAnsweringSurvey   : Factor w/ 2 levels \"No\",\"Yes\": 2 2 1 1 1 2 1 2 2 2 ...\n",
      " $ ParentschoolSatisfaction: Factor w/ 2 levels \"Bad\",\"Good\": 2 2 1 1 1 1 1 2 2 2 ...\n",
      " $ StudentAbsenceDays      : Factor w/ 2 levels \"Above-7\",\"Under-7\": 2 2 1 1 1 1 1 2 2 2 ...\n",
      " $ Class                   : Factor w/ 3 levels \"H\",\"L\",\"M\": 3 3 2 2 3 3 2 3 3 3 ...\n"
     ]
    }
   ],
   "source": [
    "n=480\n",
    "str(data)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "W celu ułatwienia analizy zbioru danych modyfikuje nazwy kolumn, tak aby były one bardziej intuicyjne i miały ujednoliconą formę: "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "colnames(data)<- c('Gender', 'Nationality', 'PlaceofBirth', 'StageID', 'GradeID', 'SectionID','Topic', 'Semester','Guardian', 'RaisedHand',\n",
    "    'VisitedResources', 'AnnouncementsViews', 'DiscussionGroups', 'ParentSurvey','ParentSchoolSatisfaction', 'AbsenceDays', 'GradeClass') "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Ponadto, sortuję cechy wyrażone w skali porządkowej, tak aby kolejność była intuicyjna:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "data$GradeClass <- factor(data$GradeClass, levels = c(\"L\", \"M\", \"H\"), ordered=TRUE)\n",
    "data$StageID <- factor(data$StageID, levels = c(\"lowerlevel\", \"MiddleSchool\", \"HighSchool\"), ordered=TRUE)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Objaśnienie atrybutów:\n",
    "1. `Gender`- płeć ucznia, cecha jakościowa: *M- mężczyzna, F- kobieta*\n",
    "2. `Nationality`- narodowość ucznia, cecha jakościowa: np. *Kuwait, Lebanon, Venezuela*\n",
    "3. `PlaceofBirth`- kraj, w którym urodził się uczeń, cecha jakościowa analogiczna to `Nationality`\n",
    "4. `StageID`- identyfikator poziomu edukacji, cecha jakościowa: *lowerlevel, Middleschool, Highschool*\n",
    "5. `GradeID`- identyfikator roku, na którym jest uczeń, cecha jakościowa: *G-01, G-02,..., G-12*\n",
    "6. `SectionID`- \"sala lekcyjna\", do której przynależy uczeń, cecha jakościowa: *A, B, C*\n",
    "7. `Topic`- nazwa głównego realizowanego przedmiotu, cecha jakościowa: np. *English, Spanish, IT*\n",
    "8. `Semester`- numer semestru, cecha jakościowa: *F- pierwszy, S-drugi*\n",
    "9. `Guardian`- opiekun prawny, rodzic odpowiedzialny, cecha jakościowa: *mom, father*\n",
    "10. `RaisedHand`- liczba razy, kiedy uczeń \"podniósł rękę\", czyli zgłosił chęć wypowiedzi podczas zajęć, cecha ilościowa dyksretna: *0-100*\n",
    "11. `VisitedResources`- wyraża liczbę razy, kiedy uczeń odwiedził stronę przedmiotu z materiałami edukacyjnymi, cecha ilościowa dyskretna: *0-100*\n",
    "12. `AnnouncementsViews`- wyraża liczbę razy, kiedy uczeń sprawdzał bieżące ogłoszenia, cecha ilościowa dyksretna: *0-100*\n",
    "13. `DiscussionGroups`- wyraża liczbę razy, kiedy uczeń uczestniczył w grupie dyskusyjnej, cecha ilościowa dyskretna: *0-100*\n",
    "14. `ParentSurvey`- informacja, czy rodzic odpowiedzialny (`Guardian`) wypełnił ankietę, cecha jakościowa: *Yes, No*\n",
    "15. `ParentSchoolSatisfaction`- stopień zadowolenia rodzica z poziomu placówki edukacyjnej, cecha jakościowa: *above-7, under-7*\n",
    "16. `AbsenceDays`- liczba dni, kiedy uczeń był nieobecny, cecha jakościowa: *above-7, under-7*\n",
    "17. `GradeClass`- klasa całkowitej oceny ucznia. Cecha została opisana już powyżej."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3. Eksploracyjna analiza danych"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Funkcje pomocnicze:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "get_perc <- function(df_col, round=2){\n",
    "    count <- table(df_col)\n",
    "    perc <- round(as.vector(count[1:length(count)])*100/length(df_col), digits=round)\n",
    "}\n",
    "\n",
    "change_opt <- function(height, width){\n",
    "    options(repr.plot.width=width, repr.plot.height=height)\n",
    "}\n",
    "\n",
    "undo_opt <- function(){\n",
    "    options(repr.plot.width=w, repr.plot.height=h)\n",
    "}\n",
    "\n",
    "\n",
    "get_count <- function(df, name1, name2=\"Count\", d=TRUE){\n",
    "    df_c <- data.frame(table(df[name1]))\n",
    "    colnames(df_c) <- c(name1, name2)\n",
    "    df_c1 <- df_c[order(-df_c[name2]),]\n",
    "    \n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "hist_mean <- function(df, n=30, iter=10000){\n",
    "    sample_means<-rep(NA, n)\n",
    "    for(i in 1:iter){\n",
    "        samp <- sample(df, n, replace=TRUE)\n",
    "        sample_means[i] <- mean(samp)\n",
    "    }\n",
    "    \n",
    "    hist(sample_means)\n",
    "}\n",
    "\n",
    "\n",
    "qq_mean <- function(df, n=30, iter=10000){\n",
    "    sample_means<-rep(NA, n)\n",
    "    for(i in 1:iter){\n",
    "        samp <- sample(df, n, replace=TRUE)\n",
    "        sample_means[i] <- mean(samp)\n",
    "    }\n",
    "    \n",
    "    qqnorm(sample_means)\n",
    "    qqline(sample_means)\n",
    "}\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3.1 Analiza ogólnej struktury próbki danych\n",
    "Zacznijmy analizę od bliższego przyjrzenia się strukturze zbioru danych. Pomoże to ukierunkować dalszą analizę i wykryć ewentualne anomalie w danych."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
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     "metadata": {},
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   ],
   "source": [
    "c <- sapply(data, is.nan)\n",
    "length(c[c==TRUE])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Wnioski i spostrzeżenia\n",
    "+ Nie ma żadnych wartości pustych w zbiorze danych. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
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OPSDtbCUQ7FoFyfYvjjplUxTN3v4f+/RRds3bq4buk+Gzdn3ZvScWkHdSLScWkH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\ngg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 480,
       "width": 780
      },
      "text/plain": {
       "height": 480,
       "width": 780
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot <- ggplot(data, aes(x=StageID, fill=GradeID)) + geom_bar()\n",
    "plot<- plot + theme_gray(base_size=17) + scale_y_continuous(breaks=seq(0,260,20))\n",
    "plot <- plot + ggtitle(\"Etap edukacji\") + center_title \n",
    "\n",
    "plot"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Spostrzeżenia i wnioski:\n",
    "+ Dane dotyczą głównie uczniów z poziomu edukacji gimnazjalnego- *MiddleSchool* (248 uczniów) oraz z poziomu niższego niż gimnazjalny (podstawówka itp.)- *lowerlevel* (199). \n",
    "+ Licznośc uczniów na poziomie licealnym to 33 jednostki."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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XZli9niosMaa/AOIcRjNmzS3DY3+MXn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\nH7GNxWwAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 480,
       "width": 780
      },
      "text/plain": {
       "height": 480,
       "width": 780
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "gender <- data.frame(table(data$Gender))\n",
    "colnames(gender) <- c(\"Gender\", \"Count\")\n",
    "gender_perc <- get_perc(data$Gender)\n",
    "\n",
    "plotg <- ggplot(gender, aes(x=Gender, y=Count, fill=Gender)) + geom_bar(stat='identity') \n",
    "plotg <- plotg + geom_text(aes(label=gender_perc), vjust=1.6, size=6) + scale_y_continuous(breaks=seq(0,300,20)) \n",
    "plotg<- plotg + ggtitle(\"Dystrybucja płci w zbiorze danych\")+ theme_gray(base_size=17) + center_title\n",
    "\n",
    "plotg"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Spostrzeżenia i wnioski:\n",
    "+ 36.46% uczniów jest płci żeńskiej, a 63.54% płci męskiej."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A data.frame: 14 × 2</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>Nationality</th><th scope=col>Count</th></tr>\n",
       "\t<tr><th></th><th scope=col>&lt;fct&gt;</th><th scope=col>&lt;int&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>5</th><td>KW         </td><td>179</td></tr>\n",
       "\t<tr><th scope=row>4</th><td>Jordan     </td><td>172</td></tr>\n",
       "\t<tr><th scope=row>9</th><td>Palestine  </td><td> 28</td></tr>\n",
       "\t<tr><th scope=row>3</th><td>Iraq       </td><td> 22</td></tr>\n",
       "\t<tr><th scope=row>6</th><td>lebanon    </td><td> 17</td></tr>\n",
       "\t<tr><th scope=row>12</th><td>Tunis      </td><td> 12</td></tr>\n",
       "\t<tr><th scope=row>10</th><td>SaudiArabia</td><td> 11</td></tr>\n",
       "\t<tr><th scope=row>1</th><td>Egypt      </td><td>  9</td></tr>\n",
       "\t<tr><th scope=row>11</th><td>Syria      </td><td>  7</td></tr>\n",
       "\t<tr><th scope=row>2</th><td>Iran       </td><td>  6</td></tr>\n",
       "\t<tr><th scope=row>7</th><td>Lybia      </td><td>  6</td></tr>\n",
       "\t<tr><th scope=row>13</th><td>USA        </td><td>  6</td></tr>\n",
       "\t<tr><th scope=row>8</th><td>Morocco    </td><td>  4</td></tr>\n",
       "\t<tr><th scope=row>14</th><td>venzuela   </td><td>  1</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 14 × 2\n",
       "\\begin{tabular}{r|ll}\n",
       "  & Nationality & Count\\\\\n",
       "  & <fct> & <int>\\\\\n",
       "\\hline\n",
       "\t5 & KW          & 179\\\\\n",
       "\t4 & Jordan      & 172\\\\\n",
       "\t9 & Palestine   &  28\\\\\n",
       "\t3 & Iraq        &  22\\\\\n",
       "\t6 & lebanon     &  17\\\\\n",
       "\t12 & Tunis       &  12\\\\\n",
       "\t10 & SaudiArabia &  11\\\\\n",
       "\t1 & Egypt       &   9\\\\\n",
       "\t11 & Syria       &   7\\\\\n",
       "\t2 & Iran        &   6\\\\\n",
       "\t7 & Lybia       &   6\\\\\n",
       "\t13 & USA         &   6\\\\\n",
       "\t8 & Morocco     &   4\\\\\n",
       "\t14 & venzuela    &   1\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 14 × 2\n",
       "\n",
       "| <!--/--> | Nationality &lt;fct&gt; | Count &lt;int&gt; |\n",
       "|---|---|---|\n",
       "| 5 | KW          | 179 |\n",
       "| 4 | Jordan      | 172 |\n",
       "| 9 | Palestine   |  28 |\n",
       "| 3 | Iraq        |  22 |\n",
       "| 6 | lebanon     |  17 |\n",
       "| 12 | Tunis       |  12 |\n",
       "| 10 | SaudiArabia |  11 |\n",
       "| 1 | Egypt       |   9 |\n",
       "| 11 | Syria       |   7 |\n",
       "| 2 | Iran        |   6 |\n",
       "| 7 | Lybia       |   6 |\n",
       "| 13 | USA         |   6 |\n",
       "| 8 | Morocco     |   4 |\n",
       "| 14 | venzuela    |   1 |\n",
       "\n"
      ],
      "text/plain": [
       "   Nationality Count\n",
       "5  KW          179  \n",
       "4  Jordan      172  \n",
       "9  Palestine    28  \n",
       "3  Iraq         22  \n",
       "6  lebanon      17  \n",
       "12 Tunis        12  \n",
       "10 SaudiArabia  11  \n",
       "1  Egypt         9  \n",
       "11 Syria         7  \n",
       "2  Iran          6  \n",
       "7  Lybia         6  \n",
       "13 USA           6  \n",
       "8  Morocco       4  \n",
       "14 venzuela      1  "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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RTR4iMhWclCMYSJRUcxOEsIRbT4SEhWslAMYWLRUQzOEkIRLT4SkpUsFEOYWHQU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\nAPCiKr0BAADgxf8HMzGLDpiSFMYAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 480,
       "width": 780
      },
      "text/plain": {
       "height": 480,
       "width": 780
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "nat_count <- get_count(data, \"Nationality\")\n",
    "nat_count\n",
    "\n",
    "plot <- ggplot(nat_count, aes(reorder(Nationality, Count), Count)) + geom_bar(stat='identity') \n",
    "plot<- plot + theme_gray(base_size=17) + scale_y_continuous(breaks=seq(0,200,10)) + coord_flip()\n",
    "plot <- plot + ggtitle(\"Narodowość\") + center_title + xlab(\"Nationality\")\n",
    "\n",
    "plot"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Spostrzeżenia i wnioski:\n",
    "+ Najwięcej uczniów pochodzi z Kuwejtu i Jordanii- jest to odpowiednio 179 i 172 uczniów.\n",
    "+ Liczba uczniów z pozostałych krajów jest o wiele niższa- żaden inny kraj nie przekracza 30 jednostek.\n",
    "+ Taka konkretna różnorodność kulturowa może mieć wpływ na wyniki uczniów.\n",
    "+ Duża przewaga dwóch krajów sprawia, że przy ewentualnym wnioskowaniu statystycznym należałoby rozważyć wpływ danego regionu kulturowego na wyniki."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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j3OW9mxjcHw7IWeSiJyuFJj2LB6WEyGVw6OP7swXC7PPN96fHnt76TGIP47nLey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",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 480,
       "width": 780
      },
      "text/plain": {
       "height": 480,
       "width": 780
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "topic_count <- get_count(data, \"Topic\")\n",
    "p1 <- ggplot(topic_count, aes(reorder(Topic, Count), Count)) + geom_bar(stat='identity') + xlab(\"Topic\")\n",
    "p1 <- p1 + theme_gray(base_size=17) + scale_y_continuous(breaks=seq(0,200,10)) + coord_flip() + ggtitle(\"Temat kursu\") + center_title\n",
    "\n",
    "p1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Spostrzeżenia wnioski\n",
    "+ Najwięcej uczniów z badanego zbioru danych realizuje jako główny przedmiot technologie informatyczne. \n",
    "+ Na drugim miejscu plasują się jezyki: francuski i arabski."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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978d913QePr/rqZX1AMuGYkErboEynRF0Pl71bbYhh/9j/m42dIjZ8f3T7+a+Jt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\nYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 480,
       "width": 780
      },
      "text/plain": {
       "height": 480,
       "width": 780
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "p1 <- ggplot(data, aes(AbsenceDays)) + geom_bar() \n",
    "p1 <- p1 + theme_gray(base_size=17) + scale_y_continuous(breaks=seq(0,300,20)) + ggtitle(\"Nieobecności\") + center_title\n",
    "\n",
    "p1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Spostrzeżenia i wnioski\n",
    "+ Większość uczniów ma mniej niż siedem dni nieobecności.\n",
    "+ Około 40% uczniów opuściło więcej niż siedem dni."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3.2 Analiza różnic między płciami\n",
    "Analizowana próbka danych zawiera dane o obu płciach w potencjalnie wystarczającej ilości, aby badać różnice w procesie uczenia się między płciami. Możemy na przykład sprawdzić czy istnieje jakaś różnica między płciami w wyborze tematu kursu:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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U/9yaTWjf9qeT8thFQrOBhSF4hsyw0Mr80pJMCA0JAAA1ItNzAsm08hCTA0Sn+o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\nzJZ0AAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 480,
       "width": 780
      },
      "text/plain": {
       "height": 480,
       "width": 780
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot<- ggplot(data, aes(x = Topic, fill=Gender)) + geom_bar() + theme_gray(base_size=17) + scale_y_continuous(breaks=seq(0,110,10)) \n",
    "plot <- plot + ggtitle(\"Dysrybucja płci wśród tematów kursu\") + center_title\n",
    "\n",
    "plot"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Spostrzeżenia i wnioski\n",
    "+ Stosunek płci żeńskiej do płci męskiej w każdym z tematów wydaje się być naturalny, biorąc pod uwagę, że dziewczyny stanowią jedynie $\\approx 36\\%$ próbki danych.\n",
    "+ Język hiszpański (`Spanish`) to kurs, który ma najmniejszy stosunek płci żeńskiej do męskiej, jednak liczność uczniów ogólnie wybierających ten kurs jest za mała, aby efektywnie przeprowadzić dalszą analizę tego zjawiska.\n",
    "\n",
    "Nie udało się wykryć jakiejś szczególnej tendencji w wyborze kursu w zależności od płci, ale możemy zbadać, czy istnieje jakaś różnica w sposobie uczenia się między płciami. Sprawdźmy najpierw, czy rozklad płci na poziomach edukacji jest w miarę równy (aby wykluczyć sytuację, kiedy dziewczyny stanowiłyby np. 100% uczniów na którymś z poziomów):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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gfbAeHE03J0dqmEJiHaJF4sUEVARyIPgGD4YZI92A4IJ56Wo7NLJTQJ0SbxYoEq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04pEM7WuVJOZTXqCu3UP1jwVqDjWJYoEK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\nPXDPeQAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 480,
       "width": 936
      },
      "text/plain": {
       "height": 480,
       "width": 936
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot1<- ggplot(data, aes(x = StageID, fill=Gender)) + geom_bar() + theme_gray(base_size=17) + scale_y_continuous(breaks=seq(0,300,20)) \n",
    "plot1<- plot1 + ggtitle(\"Dysrybucja płci na poziomach edukacji\") + center_title\n",
    "\n",
    "change_opt(h, 1.2*w)\n",
    "grid.arrange(plot1, plotg, ncol=2)\n",
    "undo_opt()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Spostrzeżenia i wnioski\n",
    "+ Stosunek płci żeńskiej do męskiej na poziomach edukacji jest podobny.\n",
    "\n",
    "Możemy więc zbadać jak różni się sposób uczenia się pomiedzy płciami:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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gxQRxhECAN6izBAHWEQIQzoLcIAdYRB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\ngg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 480,
       "width": 780
      },
      "text/plain": {
       "height": 480,
       "width": 780
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ggplot(data, aes(x=Gender, y=VisitedResources, color=Gender)) + \n",
    "  geom_boxplot(outlier.size=4)  + scale_y_continuous(breaks = seq(0,100,8)) +theme_gray(base_size=17) + stat_summary(fun=mean, geom=\"point\", shape=20, size=14, color=\"black\", fill=\"black\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Spostrzeżenia i wnioski\n",
    "(Czarny punkt wskazuje wartość średnią badanej cechy)\n",
    "+ Dziewczyny średnio większą ilość razy niż chłopcy korzystają z materiałów edukacyjnych\n",
    "+ Odstęp międzykwartylowy ($IQR$) w próbce dziewczyn jest mniejszy niż w próbce chłopców. W obrębie $IQR$ znajduje sie 50% wartości badanej cechy, więc w próbce dla płci męskiej możemy spodziewać się większego rozproszenia badanej cechy. Natomiast ogólny rozstęp cechy jest nieco większy w grupie dziewczyn, ale jest to spowodowane niewieloma obserwacjami odstającymi. \n",
    "+ W obu próbkach nie ma obserwacji odstających od mediany na więcej niż $1.5 \\cdot IQR$.\n",
    "\n",
    "Narysujmy jeszcze histogramy dla badanych cech:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  Gender   Skewness\n",
      "1      F -0.7821284\n",
      "2      M -0.1039666\n"
     ]
    },
    {
     "data": {
      "image/png": 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Kdbw7cm1d+ZbAo/GplTmPH18UvIh7Pw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HyF2uTLXAGikMI6BaBVuObacWaGAnp4/O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\nMzOze3MwmJmZmZnZvf0/WXGpCH/HQUAAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 576,
       "width": 1560
      },
      "text/plain": {
       "height": 576,
       "width": 1560
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Tworzymy dwie osobne próbki dla populacji uczniów dziewczyn i uczniów chłopców:\n",
    "data_F <- filter(data, Gender == 'F')\n",
    "data_M <- filter(data, Gender == 'M')\n",
    "\n",
    "change_opt(1.2*h, 2*w)\n",
    "p1 <- ggplot(data_F, aes(VisitedResources)) +  geom_histogram( binwidth=sqrt(nrow(data_F)), fill=\"#F08080\", color=\"#eaecef\") \n",
    "p1 <- p1 +theme_gray(base_size=16) +  ggtitle(\"Histogram VisitedResources dla próby żeńskiej\") + center_title \n",
    "\n",
    "p2 <- ggplot(data_M, aes(VisitedResources)) +  geom_histogram( binwidth=sqrt(nrow(data_F)), fill=\"#4682B4\", color=\"#eaecef\") \n",
    "p2 <- p2 +theme_gray(base_size=16) +  ggtitle(\"Histogram VisitedResources dla próby męskiej\") + center_title \n",
    "\n",
    "grid.arrange(p1, p2, ncol=2)\n",
    "ladna_tabelka <- data.frame(Gender= c(\"F\", \"M\"), Skewness = c(skewness(data_F$VisitedResources), skewness(data_M$VisitedResources)))\n",
    "print(ladna_tabelka)\n",
    "undo_opt()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Spostrzeżenia i wnioski\n",
    "+ W próbie jednostek płci żeńskiej rozkład cechy jest dość silnie lewoskośny, co potwierdza zarówno analiza graficzna, jak i wyliczony współczynnik asymetrii. \n",
    "+ W próbie jednostek płci męskiej kształt rozkład jest bimodalny typu \"U\". \n",
    "+ Wykonanie testu statystycznego wymaga więc dodatkowego sprawdzenia, czy rozkład średniej można przybliżyć rozkładem normalnym, ponieważ przy asymetrycznych rozkładach cechy próba $n>100$ może być niewystarczająca aby zadziałało Centralne Twierdzenie Graniczne.\n",
    "\n",
    "Zacznijmy od wyliczenia odpowiednich statystyk:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A data.frame: 2 × 4</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>Gender</th><th scope=col>Mean</th><th scope=col>Sd</th><th scope=col>N</th></tr>\n",
       "\t<tr><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;int&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>F</td><td>64.00000</td><td>30.20980</td><td>175</td></tr>\n",
       "\t<tr><td>M</td><td>49.51803</td><td>33.54318</td><td>305</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 2 × 4\n",
       "\\begin{tabular}{llll}\n",
       " Gender & Mean & Sd & N\\\\\n",
       " <chr> & <dbl> & <dbl> & <int>\\\\\n",
       "\\hline\n",
       "\t F & 64.00000 & 30.20980 & 175\\\\\n",
       "\t M & 49.51803 & 33.54318 & 305\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 2 × 4\n",
       "\n",
       "| Gender &lt;chr&gt; | Mean &lt;dbl&gt; | Sd &lt;dbl&gt; | N &lt;int&gt; |\n",
       "|---|---|---|---|\n",
       "| F | 64.00000 | 30.20980 | 175 |\n",
       "| M | 49.51803 | 33.54318 | 305 |\n",
       "\n"
      ],
      "text/plain": [
       "  Gender Mean     Sd       N  \n",
       "1 F      64.00000 30.20980 175\n",
       "2 M      49.51803 33.54318 305"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "14.4819672131148"
      ],
      "text/latex": [
       "14.4819672131148"
      ],
      "text/markdown": [
       "14.4819672131148"
      ],
      "text/plain": [
       "[1] 14.48197"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Liczymy średnią testowanej cechy:\n",
    "F_vr <- mean(data_F$VisitedResources)\n",
    "M_vr <- mean(data_M$VisitedResources)\n",
    "\n",
    "#Odchylenie standardowe:\n",
    "F_sd <- sd(data_F$VisitedResources)\n",
    "M_sd <- sd(data_M$VisitedResources)\n",
    "\n",
    "#Liczność próbek:\n",
    "n_F <- nrow(data_F)\n",
    "n_M <- nrow(data_M)\n",
    "\n",
    "vr <- data.frame(Gender = c(\"F\", \"M\"), Mean = c(F_vr, M_vr), Sd = c(F_sd, M_sd), N=  c(n_F, n_M))\n",
    "\n",
    "vr\n",
    "\n",
    "#Różnica między wartościami średnimi badanej cechy:\n",
    "F_vr-M_vr\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Spostrzeżenia i wnisoki\n",
    "Różnica w średniej ilości odwiedzanych zasobów to około **14.48**. Czy na podstawie wyników otrzymanych dla tej próbki danych możemy wnioskować, że uczniowie płci żeńskiej częściej korzystają z materiałów edukacyjnych? Aby to sprawdzić możemy wykonać test T, ponieważ odchylenia standardowe dla próbek z obu populacji są podobne. Sprawdźmy najpierw założenia:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1. Niezależność populacji\n",
    "Zbiór został stworzony na podstawie danych na temat niezależnych jednostek- uczniów korzystających z LMS, dodatkowo będących na różnych poziomiach edukacji, w różnych sekcjach itp. Obie próbki są niezależne."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2. Rozkład normalny wartości średnich"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Dla populacji dziewczyn:**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
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gLwCWEo1yUJugC8QRiKZXwB+IwwlMnBSMDHhKFEzl0AGhCG8sgC0IgwlOYmC8IA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",
      "text/plain": [
       "Plot with title \"Normal Q-Q Plot\""
      ]
     },
     "metadata": {
      "image/png": {
       "height": 480,
       "width": 780
      },
      "text/plain": {
       "height": 480,
       "width": 780
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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G1TDEwVs3xiBskJiRlEMbRNMTBVzPKJGSQnJGYQxdA2xcBUMcsnZpCckJhBFEPb\nFANTxSyfmEFyQmIGUQxtUwxMFbN8YgbJCYkZRDG0TTEwVczyiRkkJyRmEMXQNsXAVDHLJ2aQ\nnJCYQRRD2xQDU8Usn5hBckJiBlEMbVMMTBWzfGIGyQmJGUQxtE0xMFXM8okZJCckZhDF0DbF\nwFQxyydmkJyQmEEUQ9sUA1PFLJ+YQXJCYgZRDG1TDEwVs3xiBskJiRlEMbTt/P99j7fr/cuu\nrzePl7oJIsUsn5hBckJiBlEMbTv3f9/26uif5Li+yE0QKmb5xAySExIziGJo27n/+zbD6v5p\n/9bzw2rYXOImCBWzfGIGyQmJGUQxtO3c/32r4enj7adhdYmbIFTM8okZJCckZhDF0LZz//cV\n/6Trz/++qyukMzHLJ2aQnJCYQRRD23zFwFQxyydmkJyQmEEUQ9t+8RjDw/P+LY8xLE3M8okZ\nJCckZhDF0Laz//ddH31X0tX2IjdBppjlEzNITkjMIIqhbb94HsNm/zyG1frW8xiWJWb5xAyS\nExIziGJom2c+M1XM8okZJCckZhDF0DbFwFQxyydmkJyQmEEUQ9u8JAZTxSyfmEFyQmIGUQxt\n85IYTBWzfGIGyQmJGUQxtM1LYjBVzPKJGSQnJGYQxdA2T3BjqpjlEzNITkjMIIqhbRd6SYzh\n2Jk3QaiY5RMzSE5IzCCKoW2+YmCqmOUTM0hOSMwgiqFtXhKDqWKWT8wgOSExgyiGtnlJDKaK\nWT4xg+SExAyiGNrmJTGYKmb5xAySExIziGJom2c+M1XM8okZJCckZhDF0DbFwFQxyydmkJyQ\nmEEUQ9t++b/v7moY1g8XvQnSxCyfmEFyQmIGUQxt+93zGN4egf7xm5IUQ29ilk/MIDkhMYMo\nhrb9qhg2w2b78vK8Ge4ucROEilk+MYPkhMQMohja9qtiWA3771PdDleXuAlCxSyfmEFyQmIG\nUQxt+1UxvL/axc+veuEK6UzM8okZJCckZhDF0LZfFcPNezF4SYwliVk+MYPkhMQMohjadn4x\nrG/vHob71ze3Gy+JsSgxyydmkJyQmEEUQ9vOL4aPV04dhpWXxFiSmOUTM0hOSMwgiqFtZ//v\ne3q6u1uv9w9Bb37sBcXQm5jlEzNITkjMIIqhbZ75zFQxyydmkJyQmEEUQ9sUA1PFLJ+YQXJC\nYgZRDG1TDEwVs3xiBskJiRlEMbRNMTBVzPKJGSQnJGYQxdA2xcBUMcsnZpCckJhBFEPbFANT\nxSyfmEFyQmIGUQxtUwxMFbN8YgbJCYkZRDG0TTEwVczyiRkkJyRmEMXQNsXAVDHLJ2aQnJCY\nQXhlgMIAABKrSURBVBRD2xQDU8Usn5hBckJiBlEMbVMMTBWzfGIGyQmJGUQxtE0xMFXM8okZ\nJCckZhDF0DbFwFQxyydmkJyQmEEUQ9sUA1PFLJ+YQXJCYgZRDG1TDEwVs3xiBskJiRlEMbRN\nMTBVzPKJGSQnJGYQxdA2xcBUMcsnZpCckJhBFEPbFANTxSyfmEFyQmIGUQxtUwxMFbN8YgbJ\nCYkZRDG0TTEwVczyiRkkJyRmEMXQNsXAVDHLJ2aQnJCYQRRD2xQDU8Usn5hBckJiBlEMbVMM\nTBWzfGIGyQmJGUQxtE0xMFXM8okZJCckZhDF0DbFwFQxyydmkJyQmEEUQ9sUA1PFLJ+YQXJC\nYgZRDG1TDEwVs3xiBskJiRlEMbRNMTBVzPKJGSQnJGYQxdA2xcBUMcsnZpCckJhBFEPbFANT\nxSyfmEFyQmIGUQxtUwxMFbN8YgbJCYkZRDG0TTEwVczyiRkkJyRmEMXQNsXAVDHLJ2aQnJCY\nQRRD2xQDU8Usn5hBckJiBlEMbVMMTBWzfGIGyQmJGUQxtE0xMFXM8okZJCckZhDF0DbFwFQx\nyydmkJyQmEEUQ9sUA1PFLJ+YQXJCYgZRDG1TDEwVs3xiBskJiRlEMbRNMTBVzPKJGSQnJGYQ\nxdA2xcBUMcsnZpCckJhBFEPbFANTxSyfmEFyQmIGUQxtUwxMFbN8YgbJCYkZRDG0TTEwVczy\niRkkJyRmEMXQNsXAVDHLJ2aQnJCYQRRD2xQDU8Usn5hBckJiBlEMbVMMTBWzfGIGyQmJGUQx\ntE0xMFXM8okZJCckZhDF0DbFwFQxyydmkJyQmEEUQ9sUA1PFLJ+YQXJCYgZRDG1TDEwVs3xi\nBskJiRlEMbRNMTBVzPKJGSQnJGYQxdA2xcBUMcsnZpCckJhBFEPbFANTxSyfmEFyQmIGUQxt\nUwxMFbN8YgbJCYkZRDG0TTEwVczyiRkkJyRmEMXQNsXAVDHLJ2aQnJCYQRRD2xQDU8Usn5hB\nckJiBlEMbVMMTBWzfGIGyQmJGUQxtE0xMFXM8okZJCckZhDF0DbFwFQxyydmkJyQmEEUQ9sU\nA1PFLJ+YQXJCYgZRDG1TDEwVs3xiBskJiRlEMbRNMTBVzPKJGSQnJGYQxdA2xcBUMcsnZpCc\nkJhBFEPbFANTxSyfmEFyQmIGUQxtUwxMFbN8YgbJCYkZRDG0TTEwVczyiRkkJyRmEMXQNsXA\nVDHLJ2aQnJCYQRRD2xQDU8Usn5hBckJiBlEMbVMMTBWzfGIGyQmJGUQxtE0xLMpQRZW9EZLR\nWUjMIIqhbYphUYL2RkhGZyExgyiGtimGRQnaGyEZnYXEDKIY2qYYFiVob4RkdBYSM4hiaJti\nWJSgvRGS0VlIzCCKoW2KYVGC9kZIRmchMYMohrYphkUJ2hshGZ2FxAyiGNqmGBYlaG+EZHQW\nEjOIYmibYliUoL0RktFZSMwgiqFtimFRgvZGSEZnITGDKIa2KYZFCdobIRmdhcQMohjaphgW\nJWhvhGR0FhIziGJom2JYlKC9EZLRWUjMIIqhbYphUYL2RkhGZyExgyiGtimGRQnaGyEZnYXE\nDPK/Oi/kO/eBWSzFsChBeyMko7OQmEF82dE2xbAoQUc+JKOzkJhBFEPbFMOiBB35kIzOQmIG\nUQxtUwyLEnTkQzI6C4kZRDG0TTEsStCRD8noLCRmEMXQNsWwKEFHPiSjs5CYQRRD2xTDogQd\n+ZCMzkJiBlEMbVMMixJ05EMyOguJGUQxtE0xLErQkQ/J6CwkZhDF0DbFsChBRz4ko7OQmEEU\nQ9sUw6IEHfmQjM5CYgZRDG1TDIsSdORDMjoLiRlEMbRNMSxK0JEPyegsJGYQxdA2xbAoQUc+\nJKOzkJhBFEPbFMOiBB35kIzOQmIGUQxtUwyLEnTkQzI6C4kZRDG0TTEsStCRD8noLCRmEMXQ\nNsWwKEFHPiSjs5CYQRRD2xTDogQd+ZCMzkJiBlEMbVMMixJ05EMyOguJGUQxtE0xLErQkQ/J\n6CwkZhDF0DbFsChBRz4ko7OQmEEUQ9sUw6IEHfmQjM5CYgZRDG1TDIsSdORDMjoLiRlEMbRN\nMSxK0JEPyegsJGYQxdA2xbAoQUc+JKOzkJhBFEPbFMOiBB35kIzOQmIGUQxtUwyLEnTkQzI6\nC4kZRDG0TTEsStCRD8noLCRmEMXQNsWwKEFHPiSjs5CYQRRD2xTDogQd+ZCMzkJiBlEMbVMM\nixJ05EMyOguJGUQxtE0xLErQkQ/J6CwkZhDF0DbFsChBRz4ko7OQmEEUQ9sUw6IEHfmQjM5C\nYgZRDG1TDIsSdORDMjoLiRlEMbRNMSxK0JEPyegsJGYQxdA2xbAoQUc+JKOzkJhBFEPbFMOi\nBB35kIzOQmIGUQxtUwyLEnTkQzI6C4kZRDG0TTEsStCRD8noLCRmEMXQNsWwKEFHPiSjs5CY\nQRRD2xTDogQd+ZCMzkJiBlEMbVMMixJ05EMyOguJGUQxtE0xLErQkQ/J6CwkZhDF0DbFsChB\nRz4ko7OQmEEUQ9sUw6IEHfmQjM5CYgZRDG1TDIsSdORDMjoLiRlEMbRNMSxK0JEPyegsJGYQ\nxdA2xbAoQUc+JKOzkJhBFEPbFMOiBB35kIzOQmIGUQxtUwyLEnTkQzI6C4kZRDG0TTEsStCR\nD8noLCRmEMXQNsWwKEFHPiSjs5CYQRRD2xTDogQd+ZCMzkJiBlEMbVMMixJ05EMyOguJGUQx\ntE0xLErQkQ/J6CwkZhDF0DbFsChBRz4ko7OQmEEUQ9sUw6IEHfmQjM5CYgZRDG1TDIsSdORD\nMjoLiRlEMbRNMbRiqKLKaU0JiRkkJyRmEMXQNsXQiqDTmhISM0hOSMwgiqFtiqEVQac1JSRm\nkJyQmEEUQ9sUQyuCTmtKSMwgOSExgyiGtimGVgSd1pSQmEFyQmIGUQxtUwytCDqtKSExg+SE\nxAyiGNqmGFoRdFpTQmIGyQmJGaRSSBVzH90WKYZWBJ3WlJCYQXJCYgZJCpn76LZIMbQi6KCl\nhMQMkhMSM0hSyNxHt0WKoRVBBy0lJGaQnJCYQZJC5j66LVIMrQg6aCkhMYPkhMQMkhQy99Ft\nkWJoRdBBSwmJGSQnJGaQpJC5j26LFEMrgg5aSkjMIDkhMYMkhcx9dFukGFoRdNBSQmIGyQmJ\nGSQpZO6j2yLF0Iqgg5YSEjNITkjMIEkhcx/dFimGVgQdtJSQmEFyQmIGSQqZ++i2SDG0Iuig\npYTEDJITEjNIUsjcR7dFiqEVQQctJSRmkJyQmEGSQuY+ui1SDK0IOmgpITGD5ITEDJIUMvfR\nbZFiaEXQQUsJiRkkJyRmkKSQuY9uixRDK4IOWkpIzCA5ITGDJIXMfXRbpBhaEXTQUkJiBskJ\niRkkKWTuo9sixdCKoIOWEhIzSE5IzCBJIXMf3RYphlYEHbSUkJhBckJiBkkKmfvotkgxtCLo\noKWExAySExIzSFLI3Ee3RYqhFUEHLSUkZpCckJhBkkLmProtUgx/oM6/XFvljHQVEjNITkjM\nIEkhc5//FimGPxB0RroKiRkkJyRmkKSQuc9/ixTDHwg6I12FxAySExIzSFLI3Oe/RYrhDwSd\nka5CYgbJCYkZJClk7vPfIsXwB4LOSFchMYPkhMQMkhRSw9w75K8phj8QdEa6CokZJCckZpDO\nQha3xBTDH4i5vDsLiRkkJyRmkM5CFrfEFMMfiLm8OwuJGSQnJGaQzkIWt8QUwx+Iubw7C4kZ\nJCckZpDOQha3xBTDH4i5vDsLiRkkJyRmkM5CFrfEFMMfiLm8OwuJGSQnJGaQzkIWt8QUwx+I\nubw7C4kZJCckZpDOQha3xBTDH4i5vDsLiRkkJyRmkM5CFrfEzv+EH2/X+2d+rDePl7qJXsRc\n3p2FxAySExIzSGchVZ4k19ImPHfW7dXR53t9kZvoR8zl3VlIzCA5ITGDdBZSZ5C5F9EE5866\nGVb3T/u3nh9Ww+YSN/FrdVq+hipXlZBLZHQWEjNIZyGK4R+thqePt5+GVe2b6GsfxwzSWUjM\nIDkhMYN0FlJnkCrOWKfnbOBzP2747idvv/K7z6TOXQjQlzM39tQNfObHTfiKAYCW/OIxhofn\n/Vv/+RgDAC05+wuT66Mvbq62NUcCYE6/eB7DZv88htX69j+exwBAS1r6DioA/oBiAKCgGAAo\nKAYACooBgIJiAKCgGAAoKAYACooBgIJiAKCgGAAoKAYACooBgIJiAKCgGAAoKAYACooBgIJi\nAKCgGAAoKAYACooBgIJiAKDQczEMAHMvohb1fKf1/LnNyf16Ge7Xy3C/nqHnO63nz21O7tfL\ncL9ehvv1DD3faT1/bnNyv16G+/Uy3K9n6PlO6/lzm5P79TLcr5fhfj1Dz3daz5/bnNyvl+F+\nvQz36xl6vtN6/tzm5H69DPfrZbhfz9Dzndbz5zYn9+tluF8vw/16hp7vtJ4/tzm5Xy/D/XoZ\n7tcz9Hyn9fy5zcn9ehnu18twv56h5zut589tTu7Xy3C/Xob79Qw932k9f25zcr9ehvv1Mtyv\nZ+j5Tuv5c5uT+/Uy3K+X4X49gzsNgIJiAKCgGAAoKAYACooBgIJiAKCgGAAoKAYACooBgIJi\nAKCgGAAoKAYACooBgIJiAKCgGAAoKAYACh0Ww3Dw5U1+7elmGG6e929uVsNqs515nl583q+u\n13qG4ejedL1O1d9F+PR5PTw5aBU97O/L1e54Xe/fvJp7oj583q+u14ree2H14no9Q38X4dOw\nPvEmv7ZaPb1s18Pm5eVxeH3zaTU8zj1SFz7vV9drdQ+7i9T1Ol1/xXA33J54k9+6362ul+3u\nT2Cb4WH/C+7dCo7uV9drbdvVrmpdr9P1WAx3J97kt26Gp/c318Pub8T9+baKo/vV9Vrbeti+\nuF7P0V8xrIeHm2G1+fImv3U1vNyuhpvdQXv7W3B/GV7D0f3qeq3saf/VmOv1DP3dV+vDY07X\n5Zv81jCs3x/Lc9AqOrpfXa+VHb5gcL2eob/7ahjuX162m91X5Udv8lvD7hG87c3uL2odtIqK\n+9X1WtPTcLP/0fU6Xa/31fbzm9O2vk+thmH/d+HPuzvTQavo6H49cL3WcnjQ2fV6jm7vq6Or\nwAVRw9HpWjlo9Yy3lvu1krfr1PV6hm7vKwetsvXn6Tp8l8ez7/KoYa0YLuTj25Bcr9P1dw2u\n9g847a+Cozf5rdv91+XPu4dGD28+DL5/poKj+9X1WtXHd/+6Xqfrrxg2u///2/1fLx69yW89\nD1fb3YOk955JWtXR/ep6rWr9/gwR1+t0/RXDdrX/nr9N+Sa/dvv5vZRXvq2yns/71fVa1dWw\n/XjL9TpRf8Xw+keu1XB19/VNfu3h+v3ZV9v9q1XOPE43yvvV9VrL52M1rtfJOiwGAH5DMQBQ\nUAwAFBQDAAXFAEBBMQBQUAwAFBQDAAXFAEBBMQBQUAwAFBQDAAXFAEBBMQBQUAwAFBQDAAXF\nAEBBMQBQUAwAFBQDAAXFAEBBMQBQUAwAFBQDAAXFAEBBMQBQUAwAFBQDAAXFAEBBMQBQUAwA\nFBQDAAXFAEBBMUBhcCZYPIcACooBHAIoKAZwCKCgGMAhoHcP18Nw/bB/az0Mq83urdftfzus\nbl9eNsOwOfx88/lbr+6uhtXdl6CvH3T8XsfRz+v9ex3fMjRFMdC5u2HvdX/fHt46FMH+J7vN\nvf+Ft59fv7wVw3p4/+mRrx909F5F9Gr35u3xLUNbFAOdWw1PLy/3w9VuZd/v3tpd86/rfLtb\n3Pv/rvbb/OnlabV7h93vP+x+Y3s9lH/a//pBR+81jr46vmVoi2Kgc8Nove//87j/7/PbLxze\n6WFYH366HravP93uflp8ZPlBo/cqose3DK1QDHRuMwzrp6fD288Pt9dv2/ul+O/bI87vbw7v\niqTxBx2914no41uGligGene7+zv/1e6P+dcfe7x6MZyM/rxlaIpioH8Pm6vd3/TfDFd3D8//\nVgynYr75oJ1vot9vGdqiGFiEj0X+XTHsHhh4GG7eHz049ejA1w86eq9vosu3oBUuWjp3dfiG\noavD9n/67jGGw3clPRx+er/76cvd6MHn8r9H73Uy+vOWoS2Kgc7dH/72/3H/YPD7m+Ni2D9I\nsH7/xcNDBl8eHvj6QUfvdTL685ahLYqB3u2ff7zfzje7Nz6+J/XLwwXr4eru8xfvrobh5svD\nxqNiOHqvk9GftwxNUQzggQAoOA+gGKDgPMAPxTB8+tOBYE6udlAMUHC1A1BQDAAUFAMABcUA\nQEExAFBQDAAUFAMABcUAQEExAFBQDAAUFAMABcUAQEExAFBQDAAUFAMABcUAQEExAFBQDAAU\nFAMABcUAQEExAFBQDAAUFAMABcUAQEExAFBQDAAUFAMAhf8DOO5VhA+xE68AAAAASUVORK5C\nYII=",
      "text/plain": [
       "Plot with title \"Histogram of sample_means\""
      ]
     },
     "metadata": {
      "image/png": {
       "height": 480,
       "width": 780
      },
      "text/plain": {
       "height": 480,
       "width": 780
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "qq_mean(data_F$VisitedResources, n=n_F)\n",
    "hist_mean(data_F$VisitedResources, n=n_F)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Dla populacji chłopców:**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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D3CkBUjzsDwhCEj1xzIAjAgYciGEWcgD8KQh19XswkDMBRhGFL9qamyAAxKGIbz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\nb2Z01KE0OgAAAABJRU5ErkJggg==",
      "text/plain": [
       "Plot with title \"Normal Q-Q Plot\""
      ]
     },
     "metadata": {
      "image/png": {
       "height": 480,
       "width": 780
      },
      "text/plain": {
       "height": 480,
       "width": 780
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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w0lqZGokdazTRuCIYE8ayhJjUSNtJ5t2hAMCeRZQ0lqJGqk9WzThmBIIM8aSlIj\nUSOtZ5s2BEMCedZQkhqJGmk927QhGBLIs4aS1EjUSOvZpg3BkECeNZSkRqJGWs82bQiGBPKs\noSQ1EjXSerZpQzAkkGcNJamRqJHWs00bgiGBPGsoSY1EjbSebdoQDAnkWUNJaiRqpPVs04Zg\nSCDPGkpSI1EjrWebNgRDAnnWUJIaiRppPdu0IRgSyLOGktRI1Ejr2aYNwZBAnjWUpEaiRlrP\nNm0IhgTyrKEkNRI10nq2aUMwJJBnDSWpkaiR1rNNG4IhgTxrKEmNRI20nm3aEAwJ5FlDSWok\naqT1bNOGYEggzxpKUiNRI61nmzYEQwJ51lCSGokaaT3btCEYEsizhpLUSNRI69mmDcGQQJ41\nlKRGokZazzZtCIYE8qyhJDUSNdJ6tmlDMCSQZw0lqZGokdazTRuCIYE8ayhJjUSNtJ5t2hAM\nCeRZQ0lqJGqk9WzThmBIIM8aSlIjUSOtZ5s2BEMCedZQkhqJGmk927QhGBLIs4aS1EjUSOvZ\npg3BkECeNZSkRqJGWs82bQiGBPKsoSQ1EjXSerZpQzAkkGcNJamRqJHWs00bgiGBPGsoSY1E\njbSebdoQDAnkWUNJaiRqpPVs04ZgSCDPGkpSI1EjrWebNgRDAnnWUJIaiRppPdu0IRgSyLOG\nktRI1Ejr2aYNwZBAnjWUpEaiRlrPNm0IhgTyrKEkNRI10nq2aUMwJJBnDSWpkaiR1rNNG4Ih\ngTxrKEmNRI20nm3aEAwJ5FlDSWokaqT1bNOGYEggzxpKUiNRI61nmzYEQwJ51lCSGokaaT3b\ntCEYEsizhpLUSNRI69mmDcGQQJ41lKRGokZazzZtCIYE8qyhJDUSNdJ6tmlDMCSQZw0lqZGo\nkdazTRuCIYE8ayhJjUSNtJ5t2hAMCeRZQ0lqJGqk9WzThmBIIM8aSlIjUSOtZ5s2BEMCedZQ\nkhqJGmk927QhGBLIs4aS1EjUSOvZpg3BkECeNZSkRqJGWs82bQiGBPKsoSQ1EjXSerZpQzAk\nkGcNJamRqJHWs00bgiGBPGsoSY1EjbSebdq4/o5/flgNO6v181QlGCfPGkpSI1EjrWebNq69\n47fL4dvdJCUYK88aSlIjUSOtZ5s2rr3j18Pi6WV/6XWzGNZTlGCsPGsoSY1EjbSebdq49o5f\nDC9fl1+GxRQlGCvPGkpSI1EjrWebNq6944fhX3+4WQnGyrOGktRI1Ejr2aYNjxgSyLOGktRI\n1Ejr2aaNPzzHsHndX/IcQ3N51lCSGokaaT3btHH1HX939Kqk5XaSEoyUZw0lqZGokdazTRt/\neMF9FBsAABJLSURBVB/Dev8+hsXqwfsYGsuzhpLUSNRI69mmDe98TiDPGkpSI1EjrWebNgRD\nAnnWUJIaiRppPdu04ZQYCeRZQ0lqJGqk9WzThlNiJJBnDSWpkaiR1rNNG06JkUCeNZSkRqJG\nWs82bXiDWwJ51lCSGokaaT3btDHRKTGGY1eWYKw8ayhJjUSNtJ5t2vCIIYE8ayhJjUSNtJ5t\n2nBKjATyrKEkNRI10nq2acMpMRLIs4aS1EjUSOvZpg2nxEggzxpKUiNRI61nmza88zmBPGso\nSY1EjbSebdoQDAnkWUNJaiRqpPVs08Yf7/jH5TCsNpOW4Kw8ayhJjUSNtJ5t2vjb+xg+noH+\nzxclCYbJ5VlDSWokaqT1bNPGn4JhPay3b2+v6+FxihKMlWcNJamRqJHWs00bfwqGxbB/nep2\nWE5RgrHyrKEkNRI10nq2aeNPwfB5tov/PuuF2ZpanjWUpEaiRlrPNm38KRjuP4PBKTGayrOG\nktRI1Ejr2aaN64Nh9fC4GZ7eL27XTonRVp41lKRGokZazzZtXB8MX2dOHYaFU2I0lWcNJamR\nqJHWs00bV9/xLy+Pj6vV/ino9X/mgmCYXJ41lKRGokZazzZteOdzAnnWUJIaiRppPdu0IRgS\nyLOGktRI1Ejr2aYNwZBAnjWUpEaiRlrPNm0IhgTyrKEkNRI10nq2aUMwJJBnDSWpkaiR1rNN\nG4IhgTxrKEmNRI20nm3aEAwJ5FlDSWokaqT1bNOGYEggzxpKUiNRI61nmzYEQwJ51lCSGoka\naT3btCEYEsizhpLUSNRI69mmDcGQQJ41lKRGokZazzZtCIYE8qyhJDUSNdJ6tmlDMCSQZw0l\nqZGokdazTRuCIYE8ayhJjUSNtJ5t2hAMCeRZQ0lqJGqk9WzThmBIIM8aSlIjUSOtZ5s2BEMC\nedZQkhqJGmk927QhGBLIs4aS1EjUSOvZpg3BkECeNZSkRqJGWs82bQiGBPKsoSQ1EjXSerZp\nQzAkkGcNJamRqJHWs00bgiGBPGsoSY1EjbSebdoQDAnkWUNJaiRqpPVs04ZgSCDPGkpSI1Ej\nrWebNgRDAnnWUJIaiRppPdu0IRgSyLOGktRI1Ejr2aYNwZBAnjWUpEaiRlrPNm0IhgTyrKEk\nNRI10nq2aUMwJJBnDSWpkaiR1rNNG4IhgTxrKEmNRI20nm3aEAwJ5FlDSWokaqT1bNOGYEgg\nzxpKUiNRI61nmzYEQwJ51lCSGokaaT3btCEYEsizhpLUSNRI69mmDcGQQJ41lKRGokZazzZt\nCIYE8qyhJDUSNdJ6tmlDMExrqKLGhqhQI9E+TVLjf1XGt/VByk+CYVrWULQiGolWZNYLIirB\nMK08R2+FGhqJVkMwzJVgmFaeo7dCDY1EqyEY5kowTCvP0Vuhhkai1RAMcyUYppXn6K1QQyPR\nagiGuRIM08pz9FaooZFoNQTDXAmGaeU5eivU0Ei0GoJhrgTDtPIcvRVqaCRaDcEwV4JhWnmO\n3go1NBKthmCYK8EwrTxHb4UaGolWQzDMlWCYVp6jt0INjUSrIRjmSjBMK8/RW6GGRqLVEAxz\nJRimleforVBDI9FqCIa5EgzTynP0VqihkWg1BMNcCYZp5Tl6K9TQSLQagmGuBMO08hy9FWpo\nJFoNwTBXgmFaeY7eCjU0Eq2GYJgrwTCtPEdvhRoaiVZDMMyVYJhWnqO3Qg2NRKshGOZKMEwr\nz9FboYZGotUQDHMlGKaV5+itUEMj0WoIhrkSDNPKc/RWqKGRaDUEw1wJhmnlOXor1NBItBqC\nYa4Ew7TyHL0VamgkWg3BMFeCYVp5jt4KNTQSrYZgmCvBMK08R2+FGhqJVkMwzJVgmFaeo7dC\nDY1EqyEY5kowTCvP0Vuhhkai1RAMcyUYppXn6K1QQyPRagiGuRIM08pz9FaooZFoNQTDXAmG\naeU5eivU0Ei0GoJhrgTDtPIcvRVqaCRaDcEwV4JhWnmO3go1NBKthmCYK8EwrTxHb4UaGolW\nQzDMlWCYVp6jt0INjUSrIRjmSjBMK8/RW6GGRqLVEAxzJRimleforVBDI9FqCIa5EgzTynP0\nVqihkWg1BMNcCYZp5Tl6K9TQSLQagmGuBMO08hy9FWpoJFoNwTBXgmFaeY7eCjU0Eq2GYJgr\nwTCtPEdvhRoaiVZDMMyVYJhWnqO3Qg2NRKshGOZKMEwrz9FboYZGotUQDHMlGKaV5+itUEMj\n0WoIhrkSDNPKc/RWqKGRaDUEw1wJhmnlOXor1NBItBqCYa4Ew7TyHL0VamgkWg3BMFeCYVp5\njt4KNTQSrYZgmCvBMK08R2+FGhqJVkMwzJVgmFaeo7dCDY1EqyEY5kowTCvP0Vuhhkai1RAM\ncyUYppXn6K1QQyPRagiGuRIM08pz9FaooZFoNQTDXAmGaeU5eivU0Ei0GoJhrgTDtPIcvRVq\naCRaDcEwV4JhWnmO3go1NBKthmCYK8EwrTxHb4UaGolWQzDMlWCYVp6jt0INjUSrIRjmSjBM\nK8/RW6GGRqLVEAxzJRimleforVBDI9FqCIa5EgzTynP0VqihkWg1BMNcCYZp5Tl6K9TQSLQa\ngmGuBMO08hy9FWpoJFoNwTBXgmFaeY7eCjU0Eq2GYJgrwTCtPEdvhRoaiVZDMMyVYJhWnqO3\nQg2NRKshGOZKMEwrz9FboYZGotUQDHMlGKaV5+itUEMj0WoIhrkSDNPKc/RWqKGRaDUEw1wJ\nhmnlOXor1NBItBqCYa4Ew7TyHL0VamgkWg3BMFeCYVp5jt4KNTQSrYZgmCvBMK08R2+FGhqJ\nVkMwzNWcg2GoocKBZQ1Fq6GRi2q0XgT8NOtgqDH0FWpYQ9FqaOSiGq0XAT8JhomHvkINayha\nDY1cVKP1IuAnwTDx0FeoYQ1Fq6GRi2pU0XrbdEYwTDz0FWpYQ9FqaCRaDQ9LLiQYJp7HCjUS\nHb1JamgkWg3BcCHBMPE8VqiR6OhNUkMj0WoIhgsJhonnsUKNREdvkhoaiVZDMFxIMEw8jxVq\nJDp6k9TQSLQaguFCgmHieaxQI9HRm6SGRqLVEAwXEgwTz2OFGomO3iQ1NBKthmC4kGCYeB4r\n1Eh09CapoZFoNQTDhQTDxPNYoUaiozdJDY1EqyEYLiQYJp7HCjUSHb1JamgkWg3BcCHBMPE8\nVqiR6OhNUkMj0WoIhgsJhonnsUKNREdvkhoaiVZDMFxIMEw8jxVqJDp6k9TQSLQaguFCgmHi\neaxQI9HRm6SGRqLVEAwXEgwTz2OFGomO3iQ1NBKthmC4UNBgqHOK9hrzWKFGoqM3SQ2NRKtR\n5z99uPnubCdqMFSZlSQ1NBKthkai1ajTyM13ZzvX9/L8sNqn5Gr9fPsSeWalQg2NRKuhkWg1\nBMOFru1luzx6BHV38xJ5ZqVCDY1Eq6GRaDUEw4Wu7WU9LJ5e9pdeN4thfesSeWalQg2NRKuh\nkWg1BMOFru1lMbx8XX4ZFrcukWdWKtTQSLQaGolWo04jiZ7hvrZMcft+3ti/dlLnnxigL1du\n7Es38JVfd8EjBgB68ofnGDav+0tnn2MAoCdXPzC5O3pws9ze8iYB0NIf3sew3r+PYbF6OPM+\nBgB6kukVVgDcgGAAoCAYACgIBgAKggGAgmAAoCAYACgIBgAKggGAgmAAoCAYACgIBgAKggGA\ngmAAoCAYACgIBgAKggGAgmAAoCAYACgIBgAKggGAgmAAoBA0GAaAvrRemzcUtJegN+tyGolG\nI9FoJKCgvQS9WZfTSDQaiUYjAQXtJejNupxGotFINBoJKGgvQW/W5TQSjUai0UhAQXsJerMu\np5FoNBKNRgIK2kvQm3U5jUSjkWg0ElDQXoLerMtpJBqNRKORgIL2EvRmXU4j0WgkGo0EFLSX\noDfrchqJRiPRaCSgoL0EvVmX00g0GolGIwEF7SXozbqcRqLRSDQaCShoL0Fv1uU0Eo1GotFI\nQJl6AeAGBAMABcEAQEEwAFAQDAAUBAMABcEAQEEwAFAQDAAUBAMABcEAQEEwAFAQDAAUBAMA\nBcEAQEEwAFCIFQzDwe7idr0YFutt61t0rZf7Ybh/3V9M08jjMkkj755jDf4ljhope+rN963v\n+mAfhqO11XMjhVDHx8v3v/DrYn9p0enUbw63fjchd/uLy9a36EpHjay/L3ZoU9z67SLU4F/i\nqJFNknuk74P9MxcWb70f7MdCHR8vw+rz4v2wftvtovuGN+cPFouXt+1q18Pz8H7xZTE8t75J\n1/lu5GW4fz+GH/u/R3ZWQ6jBv8RRI2VPvfm+9Z0f7Hub3RHe+cF+LNTx8Tg8fF78OHA7PX6f\n9pO+3X0TsR42+w88nPuakI4aWWW5R/Z/6rSNopGyp94c3fq+D/a97WL3PW3fB3sh1H3xODx+\nXvx4qN/p0N8PL58XV8PuAfLRY6GuHDXyodOjt2jkdbjrtI2ikZ93Tk+Obn3fB/veati+9X6w\nF0IdH6thcz8s9o+MHz4eXfaZvcvh7WGx/9FL598NHTVysB3uGt6c6xWN3A2vnd4fRSM/7pyu\nHN36vg/2nZfDz/P6PtgLoVpYHZ7F2a+ex90TUovHc18S0zCsPp+O6ntWjho5eNw/WO7PcSMP\nw1Ov98fJaJ3cOV05vvVdH+w7hwcMnR/shVAtDO9H7Nt2vf+B0sM+Izr9HmLYPQm1vd/d/L5n\n5aiRvddFp4+SjxrZP9Lv9P44Ga3yzunL8a3v+mB/278wY/973wd7IWAL293LvR53j83ex6bP\n7yKG/c9PX3eN9D0rR43sbBd9/iCpaGS5e4Vkp/fHyWgVd05njm593wf72+eTzr0f7IWILez+\nXZf7x2bbbof+67dF17NyMul3fd4db8eN3O8P4k7vj+Ie6XsNHd36vg/2t6+DvPODvRCxhf6H\n/uilnYcXKrx2+kKF4jWqr8u7Pt+C9HbcyNcbVROM1tfFDq2yJNzRy5D6PtgLoe6Lxf47h/2/\n6yF7e32N9sP+u9LX3dPoh4ubTt+FdNTIew+9/hzp7biRzoPhx2i9dnq3HN36vg/2o5fZ932w\nF0IdHev9zxr3P7B7v7j9+ECHXofldvdD06fe3wx51EivC+jgqJG9TmPh5B4pe+rL0a3v+2Df\nPVD4eEtG3wd7IdTxsT2cM2U/H3ffr1zt0MP3rV8maeS+62+0j++RnV7bKBp5SDJanR/sH8+R\nHC513ciRWMfH7iyLy4+HZfvzFLa9OX+wufu89dskjfT9E5jje2Sn2zaKRsqeenN06/s+Rr6H\nqfOD/Ui/xwcAkxAMABQEAwAFwQBAQTAAUBAMABQEAwAFwQBAQTAAUBAMABQEAwAFwQBAQTAA\nUBAMABQEAwAFwQBAQTAAUBAMABQEAwAFwQBAQTAAUBAMABQEAwAFwQBAQTAAUBAMABQEAwAF\nwQBAQTAAUBAMABQEAwAFwQBAQTAAUBAMUBgcE8yegwAKggEcBFAQDOAggIJgAAcB2W3uhuFu\ns7+0GobFenfpffs/DIuHt7f1MKwPf15//9W7x+WweDy5otMvOv6s46t+Xe0/67gydEUwkNzj\nsPe+vx8Olw5BsP/DbnPvP/Dx57u3j2BYDZ9/PHL6RUefVVz1Ynfx4bgy9EUwkNxieHl7exqW\nu5X9tLu0m/n3db7dLe79r4v9Nn95e1nsPmH395vdX2zvhvK7/dMvOvqsn1e9PK4MfREMJDf8\nWO/7X573v75+fODwSZthdfjjati+/3G7+2PxleUX/fis4qp/VoZeCAaSWw/D6uXlcPl183D3\nsb3fil8/nnH+vDh8Kq7p5xcdfdYvV31cGXoiGMjuYfcz/8Xu2/y7rz1+82D49aq/K0NXBAP5\nbdbL3U/674fl4+Z1XDD8djX/+KKdf1z1Z2Xoi2BgFr4W+b+CYffEwGa4/3z24LdnB06/6Oiz\n/nHV5SXohaElueXhBUPLw/Z/+ddzDIdXJW0Of3za/fHt8ceTz+WvR5/161V/V4a+CAaSezr8\n9P95/2Tw58WfwbB/kmD1+cHDUwYnTw+cftHRZ/161d+VoS+Cgez27z/eb+f73YWv16SePF2w\nGpaP3x98XA7D/cnTxj+C4eizfr3q78rQFcEAngiAguMBBAMUHA/wH8EwfKt6g6Al0w6CAQqm\nHYCCYACgIBgAKAgGAAqCAYCCYACgIBgAKAgGAAqCAYCCYACgIBgAKAgGAAqCAYCCYACgIBgA\nKAgGAAqCAYCCYACgIBgAKAgGAAqCAYCCYACgIBgAKAgGAAqCAYCCYACgIBgAKPwfdth0031P\n/4kAAAAASUVORK5CYII=",
      "text/plain": [
       "Plot with title \"Histogram of sample_means\""
      ]
     },
     "metadata": {
      "image/png": {
       "height": 480,
       "width": 780
      },
      "text/plain": {
       "height": 480,
       "width": 780
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "qq_mean(data_M$VisitedResources, n=n_M)\n",
    "hist_mean(data_F$VisitedResources, n=n_M)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Wnioski\n",
    "Zarówno w przypadku dziewczyn, jak i chłopców rozkład średniej przy wielkości naszych próbek możemy przybliżyć rozkładem normalnym."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3. Równość wariancji w populacjach\n",
    "##### Test F\n",
    "+ $H_0: \\sigma_M^2=\\sigma_F^2$\n",
    "+ $H_1: \\sigma_M^2 > \\sigma_F^2$\n",
    "+ $\\alpha=5\\%$\n",
    "+ Statystyka testowa $F= \\frac{S_M^2}{S_F^2}$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "FALSE"
      ],
      "text/latex": [
       "FALSE"
      ],
      "text/markdown": [
       "FALSE"
      ],
      "text/plain": [
       "[1] FALSE"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Statystyka testowa: \n",
    "F_t <- M_sd^2/F_sd^2\n",
    "#P-wartość: P(F>F_t)\n",
    "p<-pf(F, df1=n_M-1, df2=n_F-1, lower.tail=FALSE) \n",
    "p<0.05"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Wnioski\n",
    "Nie ma podstaw do odrzucenia $H_0$, więc założenie o równości wariancji możemy uznać za zasadne."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Test T dla dwóch populacji\n",
    "+ Test dotyczy średniej liczby odwiedzin stron z materiałami edukacyjnymi\n",
    "+ Populacje:\n",
    "    + $F$ - dziewczyny uczęszczające do szkół, w której udostępnianie są materiały edukacyjne\n",
    "    + $M$ - analogiczna definicja dla chłopców\n",
    "    \n",
    "+ Poziom istotności testu $\\alpha = 5%$\n",
    "+ Hipoteza zerowa: $H_0: \\mu_F \\leq \\mu_M$\n",
    "+ Hipoteza alternatywna $H_1: \\mu_F > \\mu_M$\n",
    "+ Statystyka $T_{n_f+n_m-2} = \\frac\n",
    "{(\\bar{x_F}-\\bar{x_M})-0}\n",
    "{\\sqrt\n",
    "{\\frac\n",
    "{(n_f-1)S_F^2+(n_m-1)S_M^2}{n_f+n_m-2}(\\frac{1}{n_f}+\\frac{1}{n_m}})}$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "TRUE"
      ],
      "text/latex": [
       "TRUE"
      ],
      "text/markdown": [
       "TRUE"
      ],
      "text/plain": [
       "[1] TRUE"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "TRUE"
      ],
      "text/latex": [
       "TRUE"
      ],
      "text/markdown": [
       "TRUE"
      ],
      "text/plain": [
       "[1] TRUE"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "wariancja_laczna <- sqrt((((n_F-1)*F_sd^2 + (n_M-1)*M_sd^2)/(n_F+n_M-2))*(1/n_F+1/n_M))\n",
    "T <- (F_vr-M_vr)/wariancja_laczna\n",
    "p <- pt(-T, df=n_F+n_M-2) \n",
    "\n",
    "p < 0.05 #Test jednostronny\n",
    "2*p < 0.05 #Test dwustronny"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "+ Decyzja: Odrzucamy $H_0$ na rzecz $H_1$ z prawdopodobieństem popełnienia błędu I-rodzaju równym $5\\%$. Dodatkowo, pokazaliśmy, że test dwustronny miałby taki sam rezultat."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Wnioski\n",
    "Powyższy test statystyczny pokazał na podstawie tej próbki danych, że wśród młodzieży szkolnej jednostki płci żeńskiej średnio więcej korzystają z materiałów edukacyjnych. Cecha tego typu może być interpretowana jako pewna miara zaangażowania w proces nauki razem z innymi funkcjami behawioralnymi: `RaisedHand`, `DiscussionGroups` i `AnnouncementsViews`. Idąc tym tropem, możemy sprawdzić, czy podobna różnica pomiędzy płciami dotyczy też tych innych cech. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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AaYIxhcGKzuWCgMYZALMEcuuHDd2VOMLwwcPi8MjoYBcxwNAxN87TcvV/i1OgLG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\nGDhx3j0vgS7U5s9vFwdDXQ6GDBZLbQ6GPNlTn4M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      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
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       "height": 576,
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      "text/plain": {
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      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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MMuAOQiGNolGAgnGIrIMuwCQC6CoV2C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\nRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 576,
       "width": 1560
      },
      "text/plain": {
       "height": 576,
       "width": 1560
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "p1 <- ggplot(data, aes(x=Gender, y=RaisedHand, color=Gender)) + ggtitle(\"RaisedHand\") + \n",
    "  geom_boxplot(outlier.size=4)  + scale_y_continuous(breaks = seq(0,100,8)) +theme_gray(base_size=17) + stat_summary(fun=mean, geom=\"point\", shape=20, size=14, color=\"black\", fill=\"black\")\n",
    "\n",
    "p2 <- ggplot(data, aes(x=Gender, y=DiscussionGroups, color=Gender)) + ggtitle(\"DiscussionGroups\") +\n",
    "  geom_boxplot(outlier.size=4)  + scale_y_continuous(breaks = seq(0,100,8)) +theme_gray(base_size=17) + stat_summary(fun=mean, geom=\"point\", shape=20, size=14, color=\"black\", fill=\"black\")\n",
    "\n",
    "p3 <- ggplot(data, aes(x=Gender, y=AnnouncementsViews, color=Gender))  +\n",
    "  geom_boxplot(outlier.size=4)  +  ggtitle(\"AnnouncementsViews\") + scale_y_continuous(breaks = seq(0,100,8)) +theme_gray(base_size=17) + stat_summary(fun=mean, geom=\"point\", shape=20, size=14, color=\"black\", fill=\"black\")\n",
    "\n",
    "change_opt(1.2 * h, 2*w)\n",
    "grid.arrange(p1, p2, ncol=2)\n",
    "grid.arrange(p3, ncol=2)\n",
    "undo_opt()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Spostrzeżenia i wnioski\n",
    "+ Rzeczywiście dla innych cech tego typu średnia wśród uczniów płci żeńskiej jest wyższa, jednak dla cechy `AnnouncementsViews` jest ona bardzo niewielka.\n",
    "+ Skoro dla próbki żeńskiej analizowane cechy mają średnio wyższą wartość, to możemy podejrzewać, że są one skorelowane. Sprawdźmy to przez policzenie wskaźnika korelacji Pearsona i jego kwadratu dla wszystich par tych zmiennych:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A matrix: 5 × 5 of type dbl</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>data.VisitedResources</th><th scope=col>data.AnnouncementsView</th><th scope=col>data.RaisedHand</th><th scope=col>data.DiscussionGroups</th><th scope=col>as.numeric.data.GradeClass.</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>data.VisitedResources</th><td>1.0000000</td><td>0.5945000</td><td>0.6915717</td><td>0.2432918</td><td>0.6770936</td></tr>\n",
       "\t<tr><th scope=row>data.AnnouncementsView</th><td>0.5945000</td><td>1.0000000</td><td>0.6439178</td><td>0.4172900</td><td>0.5273700</td></tr>\n",
       "\t<tr><th scope=row>data.RaisedHand</th><td>0.6915717</td><td>0.6439178</td><td>1.0000000</td><td>0.3393860</td><td>0.6462984</td></tr>\n",
       "\t<tr><th scope=row>data.DiscussionGroups</th><td>0.2432918</td><td>0.4172900</td><td>0.3393860</td><td>1.0000000</td><td>0.3081826</td></tr>\n",
       "\t<tr><th scope=row>as.numeric.data.GradeClass.</th><td>0.6770936</td><td>0.5273700</td><td>0.6462984</td><td>0.3081826</td><td>1.0000000</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A matrix: 5 × 5 of type dbl\n",
       "\\begin{tabular}{r|lllll}\n",
       "  & data.VisitedResources & data.AnnouncementsView & data.RaisedHand & data.DiscussionGroups & as.numeric.data.GradeClass.\\\\\n",
       "\\hline\n",
       "\tdata.VisitedResources & 1.0000000 & 0.5945000 & 0.6915717 & 0.2432918 & 0.6770936\\\\\n",
       "\tdata.AnnouncementsView & 0.5945000 & 1.0000000 & 0.6439178 & 0.4172900 & 0.5273700\\\\\n",
       "\tdata.RaisedHand & 0.6915717 & 0.6439178 & 1.0000000 & 0.3393860 & 0.6462984\\\\\n",
       "\tdata.DiscussionGroups & 0.2432918 & 0.4172900 & 0.3393860 & 1.0000000 & 0.3081826\\\\\n",
       "\tas.numeric.data.GradeClass. & 0.6770936 & 0.5273700 & 0.6462984 & 0.3081826 & 1.0000000\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A matrix: 5 × 5 of type dbl\n",
       "\n",
       "| <!--/--> | data.VisitedResources | data.AnnouncementsView | data.RaisedHand | data.DiscussionGroups | as.numeric.data.GradeClass. |\n",
       "|---|---|---|---|---|---|\n",
       "| data.VisitedResources | 1.0000000 | 0.5945000 | 0.6915717 | 0.2432918 | 0.6770936 |\n",
       "| data.AnnouncementsView | 0.5945000 | 1.0000000 | 0.6439178 | 0.4172900 | 0.5273700 |\n",
       "| data.RaisedHand | 0.6915717 | 0.6439178 | 1.0000000 | 0.3393860 | 0.6462984 |\n",
       "| data.DiscussionGroups | 0.2432918 | 0.4172900 | 0.3393860 | 1.0000000 | 0.3081826 |\n",
       "| as.numeric.data.GradeClass. | 0.6770936 | 0.5273700 | 0.6462984 | 0.3081826 | 1.0000000 |\n",
       "\n"
      ],
      "text/plain": [
       "                            data.VisitedResources data.AnnouncementsView\n",
       "data.VisitedResources       1.0000000             0.5945000             \n",
       "data.AnnouncementsView      0.5945000             1.0000000             \n",
       "data.RaisedHand             0.6915717             0.6439178             \n",
       "data.DiscussionGroups       0.2432918             0.4172900             \n",
       "as.numeric.data.GradeClass. 0.6770936             0.5273700             \n",
       "                            data.RaisedHand data.DiscussionGroups\n",
       "data.VisitedResources       0.6915717       0.2432918            \n",
       "data.AnnouncementsView      0.6439178       0.4172900            \n",
       "data.RaisedHand             1.0000000       0.3393860            \n",
       "data.DiscussionGroups       0.3393860       1.0000000            \n",
       "as.numeric.data.GradeClass. 0.6462984       0.3081826            \n",
       "                            as.numeric.data.GradeClass.\n",
       "data.VisitedResources       0.6770936                  \n",
       "data.AnnouncementsView      0.5273700                  \n",
       "data.RaisedHand             0.6462984                  \n",
       "data.DiscussionGroups       0.3081826                  \n",
       "as.numeric.data.GradeClass. 1.0000000                  "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A matrix: 5 × 5 of type dbl</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>data.VisitedResources</th><th scope=col>data.AnnouncementsView</th><th scope=col>data.RaisedHand</th><th scope=col>data.DiscussionGroups</th><th scope=col>as.numeric.data.GradeClass.</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>data.VisitedResources</th><td>1.00000000</td><td>0.3534303</td><td>0.4782714</td><td>0.05919088</td><td>0.45845571</td></tr>\n",
       "\t<tr><th scope=row>data.AnnouncementsView</th><td>0.35343028</td><td>1.0000000</td><td>0.4146301</td><td>0.17413094</td><td>0.27811916</td></tr>\n",
       "\t<tr><th scope=row>data.RaisedHand</th><td>0.47827142</td><td>0.4146301</td><td>1.0000000</td><td>0.11518285</td><td>0.41770168</td></tr>\n",
       "\t<tr><th scope=row>data.DiscussionGroups</th><td>0.05919088</td><td>0.1741309</td><td>0.1151829</td><td>1.00000000</td><td>0.09497649</td></tr>\n",
       "\t<tr><th scope=row>as.numeric.data.GradeClass.</th><td>0.45845571</td><td>0.2781192</td><td>0.4177017</td><td>0.09497649</td><td>1.00000000</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A matrix: 5 × 5 of type dbl\n",
       "\\begin{tabular}{r|lllll}\n",
       "  & data.VisitedResources & data.AnnouncementsView & data.RaisedHand & data.DiscussionGroups & as.numeric.data.GradeClass.\\\\\n",
       "\\hline\n",
       "\tdata.VisitedResources & 1.00000000 & 0.3534303 & 0.4782714 & 0.05919088 & 0.45845571\\\\\n",
       "\tdata.AnnouncementsView & 0.35343028 & 1.0000000 & 0.4146301 & 0.17413094 & 0.27811916\\\\\n",
       "\tdata.RaisedHand & 0.47827142 & 0.4146301 & 1.0000000 & 0.11518285 & 0.41770168\\\\\n",
       "\tdata.DiscussionGroups & 0.05919088 & 0.1741309 & 0.1151829 & 1.00000000 & 0.09497649\\\\\n",
       "\tas.numeric.data.GradeClass. & 0.45845571 & 0.2781192 & 0.4177017 & 0.09497649 & 1.00000000\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A matrix: 5 × 5 of type dbl\n",
       "\n",
       "| <!--/--> | data.VisitedResources | data.AnnouncementsView | data.RaisedHand | data.DiscussionGroups | as.numeric.data.GradeClass. |\n",
       "|---|---|---|---|---|---|\n",
       "| data.VisitedResources | 1.00000000 | 0.3534303 | 0.4782714 | 0.05919088 | 0.45845571 |\n",
       "| data.AnnouncementsView | 0.35343028 | 1.0000000 | 0.4146301 | 0.17413094 | 0.27811916 |\n",
       "| data.RaisedHand | 0.47827142 | 0.4146301 | 1.0000000 | 0.11518285 | 0.41770168 |\n",
       "| data.DiscussionGroups | 0.05919088 | 0.1741309 | 0.1151829 | 1.00000000 | 0.09497649 |\n",
       "| as.numeric.data.GradeClass. | 0.45845571 | 0.2781192 | 0.4177017 | 0.09497649 | 1.00000000 |\n",
       "\n"
      ],
      "text/plain": [
       "                            data.VisitedResources data.AnnouncementsView\n",
       "data.VisitedResources       1.00000000            0.3534303             \n",
       "data.AnnouncementsView      0.35343028            1.0000000             \n",
       "data.RaisedHand             0.47827142            0.4146301             \n",
       "data.DiscussionGroups       0.05919088            0.1741309             \n",
       "as.numeric.data.GradeClass. 0.45845571            0.2781192             \n",
       "                            data.RaisedHand data.DiscussionGroups\n",
       "data.VisitedResources       0.4782714       0.05919088           \n",
       "data.AnnouncementsView      0.4146301       0.17413094           \n",
       "data.RaisedHand             1.0000000       0.11518285           \n",
       "data.DiscussionGroups       0.1151829       1.00000000           \n",
       "as.numeric.data.GradeClass. 0.4177017       0.09497649           \n",
       "                            as.numeric.data.GradeClass.\n",
       "data.VisitedResources       0.45845571                 \n",
       "data.AnnouncementsView      0.27811916                 \n",
       "data.RaisedHand             0.41770168                 \n",
       "data.DiscussionGroups       0.09497649                 \n",
       "as.numeric.data.GradeClass. 1.00000000                 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "d <- data.frame(data$VisitedResources, data$AnnouncementsView, data$RaisedHand, data$DiscussionGroups, as.numeric(data$GradeClass))\n",
    "\n",
    "k <- cor(d)\n",
    "k\n",
    "k^2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Spostrzeżenia i wnioski\n",
    "+ Dla wszystkich par cech współczynnik korelacji Pearsona jest dodatni.\n",
    "+ Cechą najsłabiej skorelowaną liniowo z pozostałymi cechami jest `DiscussionGroups`, a c najważniejsze wydaje się, że zmienna ta jest bardzo słabo skorelowana liniowo z osiąganą przez uczniów oceną ($R^2 \\approx 0.09$). \n",
    "+ `VisitedResources` jest silnie skorelowane z liczbą podniesień ręki `RaisedHand` ($R^2 \\approx 0.48$) i z osiąganą przez ucznia oceną ($R^2 \\approx 0.46$). \n",
    "+ Liczba wyświetleń ogłoszeń bieżących `AnnouncementsView` jest średnio skorelowana z oceną ($R^2 \\approx 0.28$) i silnie skorelowana z `VisitedResources` ($R^2\\approx 0.35$) i `RaisedHand` ($R^2\\approx0.41$).\n",
    "+ `RaisedHand` jest silnie skorelowana z `GradeClass` ($R^2 \\approx 0.42$).\n",
    "\n",
    "Sprawdźmy te zależności dodatkowo przez narysowanie wykresów rozrzutu dla badanych cech, szczególnie dla klas ocen, dodając do `GradeClass` niewielki szum, aby zależności były bardziej widoczne.  W tym celu cecha `GradeClass` przedstawiona jest numerycznie w poniższy sposób:\n",
    "+ `L`- 1\n",
    "+ `M`- 2\n",
    "+ `H`- 3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
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8Ueopdm0OzSDAYGgwowQXAGgek5W38KBQOcPwwGOBgMGsAEwRkEpud8/SnTCwTn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\nBkIIIT0YDIQQQnr8fy/xprb2aRLcAAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 480,
       "width": 780
      },
      "text/plain": {
       "height": 480,
       "width": 780
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "c <-  scale_color_manual(values=c(\"red\", \"blue\", \"green\")) \n",
    "t <-  theme_gray(base_size=17) \n",
    "\n",
    "ggplot(data, aes(y=jitter(as.numeric(GradeClass)), x=VisitedResources, color=GradeClass)) + geom_point() + t + ylab(\"GradeClass\")+c+ggtitle(\"GradeClass~VisitedResources\")+center_title"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Spostrzeżenia\n",
    "Wykres rozrzutu pokrywa się z wyliczonym wcześniej współczynnikiem korelacji- można zaobserwować na wykresie pozytywny trend liniowy."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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jFYEEMcrTi040A5HmLtiKVBDBbEEEcrDu04UI6HWDtiaRCDBTHE0YpDOw6U4yHW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\nAAhADAAAEIAYAAAgADEAAEDA/wPzuhJDJ99gigAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 480,
       "width": 780
      },
      "text/plain": {
       "height": 480,
       "width": 780
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ggplot(data, aes(y=jitter(as.numeric(GradeClass)), x=RaisedHand, color=GradeClass)) + geom_point() + t + ylab(\"GradeClass\") +c+ggtitle(\"GradeClass~RaisedHand\")+center_title"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Spostrzeżenia\n",
    "Wykres rozrzutu pokrywa się z wyliczonym wcześniej współczynnikiem korelacji- można zaobserwować na wykresie pozytywny trend liniowy."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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XKDUxTp0ZAu5ZRPZdFI2opGJfAw/vxz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\nCCEaKBiEEEI0UDAIIYRooGAQQgjR4P8BgXw4v+C/yQUAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 480,
       "width": 780
      },
      "text/plain": {
       "height": 480,
       "width": 780
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ggplot(data, aes(y=jitter(as.numeric(GradeClass)), x=AnnouncementsViews, color=GradeClass)) + geom_point() + t + ylab(\"GradeClass\") +c+ggtitle(\"GradeClass~AnnouncementsView\")+center_title "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Spostrzeżenia\n",
    "Wykres rozrzutu pokrywa się z wyliczonym wcześniej współczynnikiem korelacji- można zaobserwować na wykresie pozytywny trend liniowy."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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+0oc8tEw183LhLDosVw3XdwGQVaIlXkk/KspH4znEtF5tRXyKLFcBleIFwiXEeq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\nSUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 480,
       "width": 780
      },
      "text/plain": {
       "height": 480,
       "width": 780
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ggplot(data, aes(y=jitter(as.numeric(GradeClass)), x=DiscussionGroups, color=GradeClass)) + geom_point() + t + ylab(\"GradeClass\") +c+ggtitle(\"GradeClass~DiscussionGroups\")+center_title "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Spostrzeżenia\n",
    "Wykres rozrzutu pokrywa się z wyliczonym wcześniej współczynnikiem korelacji- na wykresie nie zauważamy trendu liniowego, a jedynie większą gęstość ocen w klasie niskiej dla mniejszych wartości `DiscussionGroups`."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Wnioski\n",
    "+ Graficzna analiza potwierdza analizę obliczeniową- między zmienną `GradeClass` a `RaisedHand`, `VisitedResources` i `AnnouncementsView` występuję silna pozytywna korelacja liniowa. Natomiast dla `DiscussionGroups` i `GradeClass` nie zauważamy trendu liniowego. \n",
    "\n",
    "Sprawdźmy te wnioski dodatkowo, przeprowadzając masowy test T na korelację:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Test T dla współczynnika korelacji\n",
    "+ Próba losowa prosta.\n",
    "+ $n$ jest dla wszystkich testowanych współczynników takie samo i wynosi $447$\n",
    "+ Istotność testu: $\\alpha = 5%$\n",
    "+ Hipoteza zerowa: $H_0:\\rho = 0$\n",
    "+ Hipoteza alternatywna: $H_1: \\rho \\neq 0$\n",
    "+ Statystyka testowa: $T_{n-2}= \\frac{r_{x,y}}{\\sqrt{1-r_{x,y}^2}}\\sqrt{n-2}$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "1.96530921341326"
      ],
      "text/latex": [
       "1.96530921341326"
      ],
      "text/markdown": [
       "1.96530921341326"
      ],
      "text/plain": [
       "[1] 1.965309"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "wart_kryt <- qt(0.975, df=445)\n",
    "wart_kryt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "+ Przedział krytyczny: $(-\\infty, -1.965) \\cup (1.965, \\infty)$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A matrix: 4 × 4 of type dbl</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>data.VisitedResources</th><th scope=col>data.AnnouncementsView</th><th scope=col>data.RaisedHand</th><th scope=col>as.numeric.data.GradeClass.</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>data.VisitedResources</th><td>     Inf</td><td>16.16435</td><td>20.93287</td><td>20.11619</td></tr>\n",
       "\t<tr><th scope=row>data.AnnouncementsView</th><td>16.16435</td><td>     Inf</td><td>18.40048</td><td>13.57052</td></tr>\n",
       "\t<tr><th scope=row>data.RaisedHand</th><td>20.93287</td><td>18.40048</td><td>     Inf</td><td>18.51716</td></tr>\n",
       "\t<tr><th scope=row>as.numeric.data.GradeClass.</th><td>20.11619</td><td>13.57052</td><td>18.51716</td><td>     Inf</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A matrix: 4 × 4 of type dbl\n",
       "\\begin{tabular}{r|llll}\n",
       "  & data.VisitedResources & data.AnnouncementsView & data.RaisedHand & as.numeric.data.GradeClass.\\\\\n",
       "\\hline\n",
       "\tdata.VisitedResources &      Inf & 16.16435 & 20.93287 & 20.11619\\\\\n",
       "\tdata.AnnouncementsView & 16.16435 &      Inf & 18.40048 & 13.57052\\\\\n",
       "\tdata.RaisedHand & 20.93287 & 18.40048 &      Inf & 18.51716\\\\\n",
       "\tas.numeric.data.GradeClass. & 20.11619 & 13.57052 & 18.51716 &      Inf\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A matrix: 4 × 4 of type dbl\n",
       "\n",
       "| <!--/--> | data.VisitedResources | data.AnnouncementsView | data.RaisedHand | as.numeric.data.GradeClass. |\n",
       "|---|---|---|---|---|\n",
       "| data.VisitedResources |      Inf | 16.16435 | 20.93287 | 20.11619 |\n",
       "| data.AnnouncementsView | 16.16435 |      Inf | 18.40048 | 13.57052 |\n",
       "| data.RaisedHand | 20.93287 | 18.40048 |      Inf | 18.51716 |\n",
       "| as.numeric.data.GradeClass. | 20.11619 | 13.57052 | 18.51716 |      Inf |\n",
       "\n"
      ],
      "text/plain": [
       "                            data.VisitedResources data.AnnouncementsView\n",
       "data.VisitedResources            Inf              16.16435              \n",
       "data.AnnouncementsView      16.16435                   Inf              \n",
       "data.RaisedHand             20.93287              18.40048              \n",
       "as.numeric.data.GradeClass. 20.11619              13.57052              \n",
       "                            data.RaisedHand as.numeric.data.GradeClass.\n",
       "data.VisitedResources       20.93287        20.11619                   \n",
       "data.AnnouncementsView      18.40048        13.57052                   \n",
       "data.RaisedHand                  Inf        18.51716                   \n",
       "as.numeric.data.GradeClass. 18.51716             Inf                   "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A matrix: 4 × 4 of type lgl</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>data.VisitedResources</th><th scope=col>data.AnnouncementsView</th><th scope=col>data.RaisedHand</th><th scope=col>as.numeric.data.GradeClass.</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>data.VisitedResources</th><td>TRUE</td><td>TRUE</td><td>TRUE</td><td>TRUE</td></tr>\n",
       "\t<tr><th scope=row>data.AnnouncementsView</th><td>TRUE</td><td>TRUE</td><td>TRUE</td><td>TRUE</td></tr>\n",
       "\t<tr><th scope=row>data.RaisedHand</th><td>TRUE</td><td>TRUE</td><td>TRUE</td><td>TRUE</td></tr>\n",
       "\t<tr><th scope=row>as.numeric.data.GradeClass.</th><td>TRUE</td><td>TRUE</td><td>TRUE</td><td>TRUE</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A matrix: 4 × 4 of type lgl\n",
       "\\begin{tabular}{r|llll}\n",
       "  & data.VisitedResources & data.AnnouncementsView & data.RaisedHand & as.numeric.data.GradeClass.\\\\\n",
       "\\hline\n",
       "\tdata.VisitedResources & TRUE & TRUE & TRUE & TRUE\\\\\n",
       "\tdata.AnnouncementsView & TRUE & TRUE & TRUE & TRUE\\\\\n",
       "\tdata.RaisedHand & TRUE & TRUE & TRUE & TRUE\\\\\n",
       "\tas.numeric.data.GradeClass. & TRUE & TRUE & TRUE & TRUE\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A matrix: 4 × 4 of type lgl\n",
       "\n",
       "| <!--/--> | data.VisitedResources | data.AnnouncementsView | data.RaisedHand | as.numeric.data.GradeClass. |\n",
       "|---|---|---|---|---|\n",
       "| data.VisitedResources | TRUE | TRUE | TRUE | TRUE |\n",
       "| data.AnnouncementsView | TRUE | TRUE | TRUE | TRUE |\n",
       "| data.RaisedHand | TRUE | TRUE | TRUE | TRUE |\n",
       "| as.numeric.data.GradeClass. | TRUE | TRUE | TRUE | TRUE |\n",
       "\n"
      ],
      "text/plain": [
       "                            data.VisitedResources data.AnnouncementsView\n",
       "data.VisitedResources       TRUE                  TRUE                  \n",
       "data.AnnouncementsView      TRUE                  TRUE                  \n",
       "data.RaisedHand             TRUE                  TRUE                  \n",
       "as.numeric.data.GradeClass. TRUE                  TRUE                  \n",
       "                            data.RaisedHand as.numeric.data.GradeClass.\n",
       "data.VisitedResources       TRUE            TRUE                       \n",
       "data.AnnouncementsView      TRUE            TRUE                       \n",
       "data.RaisedHand             TRUE            TRUE                       \n",
       "as.numeric.data.GradeClass. TRUE            TRUE                       "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Najpierw tworzymy tabelę współczynników korelacji Pearsona, które nas interesują:\n",
    "rs <- data.frame(data$VisitedResources, data$AnnouncementsView, data$RaisedHand, as.numeric(data$GradeClass))\n",
    "c <- cor(rs)\n",
    "\n",
    "#Potem masowo możemy obliczyć statystykę testową:\n",
    "st <- c/sqrt((1-c^2))*sqrt(n-2)\n",
    "\n",
    "#Statystyki testowe:\n",
    "st\n",
    "\n",
    "#Wyniki testu (jeżeli TRUE, to odrzucamy H0 na rzecz H1):\n",
    "wynik <- st>wart_kryt\n",
    "wynik"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Wnioski\n",
    "Powyższy test stanowi dodatkowe potwierdzenie, że dla badanych zmiennych $R^2\\neq0$.\n",
    "\n",
    "Wynik wykonanego wcześniej testu T dla `VisitedResources` i powyższa analiza korelacji zmiennych sugerują, że w analizowanej próbce danych dziewczyny powinny osiągać średnio lepsze wyniki w nauce niż chłopcy. Sprawdźmy to przez narysowanie rozkładu płci w poszczególnych klasach ocen:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
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GtXiMGgoflFW1dlLNZp62p+s/TRr10hBoOG5hdtXZWxWKetq/nN0ke/doUYDBqa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\nAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 480,
       "width": 780
      },
      "text/plain": {
       "height": 480,
       "width": 780
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot<- ggplot(data, aes(x = GradeClass, fill=Gender)) + geom_bar() + theme_gray(base_size=17) + scale_y_continuous(breaks=seq(0,220,20))\n",
    "plot <- plot + ggtitle(\"Dysrybucja płci wśród klas ocen\") + center_title\n",
    "\n",
    "plot"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Spostrzeżenia i wnioski\n",
    "+ Relatywnie mało dziewczyn osiąga ocenę klasy `Low`, a stosunkowo dużo ocenę klasy `High`. \n",
    "+ Wykres potwierdza początkowe spostrzeżenie: według analizowanych danych dziewczyny średnio uczą się lepiej niż chłopcy. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A data.frame: 2 × 4</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>Gender</th><th scope=col>Mean</th><th scope=col>Sd</th><th scope=col>N</th></tr>\n",
       "\t<tr><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;int&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>F</td><td>2.291429</td><td>0.6953753</td><td>175</td></tr>\n",
       "\t<tr><td>M</td><td>1.881967</td><td>0.7383989</td><td>305</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 2 × 4\n",
       "\\begin{tabular}{llll}\n",
       " Gender & Mean & Sd & N\\\\\n",
       " <chr> & <dbl> & <dbl> & <int>\\\\\n",
       "\\hline\n",
       "\t F & 2.291429 & 0.6953753 & 175\\\\\n",
       "\t M & 1.881967 & 0.7383989 & 305\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 2 × 4\n",
       "\n",
       "| Gender &lt;chr&gt; | Mean &lt;dbl&gt; | Sd &lt;dbl&gt; | N &lt;int&gt; |\n",
       "|---|---|---|---|\n",
       "| F | 2.291429 | 0.6953753 | 175 |\n",
       "| M | 1.881967 | 0.7383989 | 305 |\n",
       "\n"
      ],
      "text/plain": [
       "  Gender Mean     Sd        N  \n",
       "1 F      2.291429 0.6953753 175\n",
       "2 M      1.881967 0.7383989 305"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "grade_F <- as.numeric(data_F$GradeClass)\n",
    "grade_M <- as.numeric(data_M$GradeClass)\n",
    "\n",
    "#Liczymy średnią testowanej cechy:\n",
    "F_mean <- mean(grade_F)\n",
    "M_mean <- mean(grade_M)\n",
    "\n",
    "\n",
    "#Odchylenie standardowe:\n",
    "F_sd <- sd(grade_F)\n",
    "M_sd <- sd(grade_M)\n",
    "\n",
    "#Liczność próbek:\n",
    "n_F <- nrow(data_F)\n",
    "n_M <- nrow(data_M)\n",
    "\n",
    "g <- data.frame(Gender = c(\"F\", \"M\"), Mean = c(F_mean, M_mean), Sd = c(F_sd, M_sd), N=  c(n_F, n_M))\n",
    "\n",
    "g\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Spostrzeżenia i wnioski\n",
    "+ Z danych wynika, że dziewczyny osiągają średnio wyższą ocenę.\n",
    "+ Wariancje w obu próbkach są podobne, więc możemy przeprowadzić test T dla dwóch populacji. Próbki są niezależne, co zostało już omówione wcześniej. Musimy więc sprawdzić tylko rozkład średniej dla obu próbek i założenie o równości wariancji:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1. Rozkład normalny średniej"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Dla dziewczyn:**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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PcIQ1kOA78wADUIQ0lefQ2PMABvEIZyXA36ugB8TxhKEY35wgB8TxjKcDfiywLw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\nEq6XTAcAAAAASUVORK5CYII=",
      "text/plain": [
       "Plot with title \"Normal Q-Q Plot\""
      ]
     },
     "metadata": {
      "image/png": {
       "height": 480,
       "width": 780
      },
      "text/plain": {
       "height": 480,
       "width": 780
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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BJ4PjZVB27d1qRCMNBJ4PnYVB24dVuTCsFAJ4HnY1N14NZtTSoEA50Eno9N1YFb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\nKK4AAAAASUVORK5CYII=",
      "text/plain": [
       "Plot with title \"Histogram of sample_means\""
      ]
     },
     "metadata": {
      "image/png": {
       "height": 480,
       "width": 780
      },
      "text/plain": {
       "height": 480,
       "width": 780
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "qq_mean(grade_F, n=n_F, iter=12000)\n",
    "hist_mean(grade_F, n=n_F, iter=12000)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Dla chłopców:**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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HfCQNqEAXonDCROF6BvwkDihAH6JgykqH4DkixAL4SB9NTXQBGgJ8JAegwUYFDC\nQHJ0AYYlDCRHGGBYwkByhAGGJQykRxdgUMJAIurHCcIA/RMGkiALkA5hIAm1NRAEGIQwkALj\nBEiIMJACYYCECAMpEAZIiDCQBF2AdAgDQ3lyIJIwwFCEgWHIAiRLGBhGUw0UAQYnDAzCQAHS\nJQwMQhcgXcLAIIQB0iUMDEMXIFnCwDCEAZIlDPSpcZ+zLEA6hIH+NLVAEiApwkB/6sMgC5AY\nYaA3NiDBOAgDvZEFGAdhoDfCAOMgDPRHF2AUhIHONexbEAZIlDDQMVmAsREGOlabA02AhAkD\n3TJUgNERBrolCzA6wkC3hAFGRxjomC7A2AgD8T06EEkYIHnCQGyyACMnDMTWlANNgJEQBiIz\nVICxEwYikwUYO2EgMmGAsRMGYtMFGDlhII4HxyEJA4yLMBCDLEBGhIEYmmKgCTBCwkAEDcME\nWYBREgYisAUJciIMRCALkBNhIAZdgIwIAzEIA2REGGilYe+Cf0EYMWGghdoc+NeDkRMGWqgJ\ng8ECjJ4w8DnbkCBLwsDnZAGyJAx8ThggS8JAC7oAORIG3tJ0eKowQD6EgTfIAkyBMPCGhiBo\nAmRFGHidoQJMgjDwOmGASRAGXicMMAnCwBt0AaZAGHimaZwgDJCpXsPw870oVySL5U9XkyA2\nWYDJ6TEMu9nN2mTeySSIrykFigDZ6jEMy1D825S3tusiLLuYBNE1DBJkATLWYxiKsLnc3oSi\ni0kQne1HMD09hqGyNnm8arHeSYYswPQYMfCYLsDk9LuPYb0tb9nHMCLCAJPT5+Gq85t1y2zX\nySSIoWG/gizARPR7HsOyPI+hWHw7jyFdD3Lg3wUmwZnP3GkMg8ECTIQwUGUbEkxen2HYfoXi\ne79fzULxcNezMAxJFmDy+rwkRnFYv6y+y9WMS2KkShhg8no9XPV3nLAswtduv1s6XDVZugBT\n1+sJbuWzQ3mgqhPcEtO8a0EYYGp6vyTGS9fmtBrqmSwAVwOMGA5/7owYktKYAk2ACRpgH8Ny\nd7odfxJ8pmmQIAswSekclWTTxXDqw+CfASbKeQw0hME/AkyVM5/ZN29LAqZIGCar+RgkWYBp\nE4aJkgWgyVBhcB7DwB70QBdg4oRhmppHCrIAk2dT0jQ1hUEWAGGYKDsXgEbCMFG6ADQRhil5\ncBySLgBnwjAdsgC8RBim41EMvOLARa+fx/Dy76dWUx14MEwwWgBu9BiGlTAMqjEMsgBU9Lkp\naVP8vdh25EnQrCEMsgDc6XUfw+bxx/PEmATN6rsw9FwByel35/MqbLqeBI2a9zEA3HBUUtpk\nOhYAAA1zSURBVPbqNyHJAtBEGDL3oAVeZaCWMGSuMQyGC0ADYchb0+YjWQAaCUPe6sMgC8AD\nwpC32jB4eYFHhCFzf7tguAA8Jgw5enSEqtcWeEIY8iMLQCvCkJ/mHHhdgRcIQ3YaBwqGC8BL\nhCE7DWGQBeBFwpCd+jB4SYFXCUN+7HQGWhGGfDgWCYhCGHIhC0AkwpCLphp4LYE3CUMmGsYJ\nhgvA24QhE7VhkAXgA8KQiZowyALwEWHIxd8uDD1HwEgJQy4ciwREIgxj5xBVIDJhGLeGY5EG\nnitg1IRh3ByLBEQnDKNmKxIQnzCMmiwA8QnDqAkDEJ8wjJsuANEJw9g0HJ4qDEAswjAusgB0\nThjGpSkIXjEgGmEYFUMFoHvCMCrCAHRPGEZFGIDuCcO46ALQOWEYjcbRgjAAUQnDSMgC0Bdh\nGImaEniVgE4Iwzici3Atg4EC0BFhGIf7MMgC0BlhGIe7MHiBgO4Iw0jY2wz0RRiS5TAkYBjC\nkChZAIYiDIkqdyfsb3Ys7FUB6IcwpOmmC5eBgi4AvRCGNAkDMBhhSFNNGGxJAvohDImq38cw\n9FwBUyAMiXJAEjAUYUjHgyNUZQHojzCkojEFggD0SxhScdiLcL0U0mkXw36arwUwKGFIxCkG\n+7syGC4AvROGRNSGQRaAAQhDIhpGDEPPFjBBwpCKpn0MAD0ThuE8PTzVliRgCMIwFFkAEiUM\nQwm1/zvfBzAYYRhIfRec0QYMTxgG0hgGWQAGJgwDaQiDLACDE4ah1Hdh6LkCEIbeOQ4JSJww\n9CuE80fuyAKQKGHo12n/8iEC1RObZQFIhTD06tiF4+UvKmXI9m8MjI8w9KohDIYLQEKEoVe1\nYZAFICnC0K+afQz5/mWBcRKGntwefHT9w3ABSI8w9OL2E3huj06VBSA9wtCLUP2/83/N7u8J\n5KD/MKxmISzWnU4iOeciVMuQ298SyESPYTj+fjw/bkZZdjKJVNWFwXABSFTfYViG5W6/3y7D\nqotJpOpvGGQBSFbfYSjC7nB7F2ZdTCJZd/sYZAFIWN9hOK8SH68as1tvVo5Kyu+vB2Sl7zB8\nncNQdDGJFBxPXjuWYP/nENXgQxeA1PUahsX3ah3+/d7cLR/vfR7vqvMyLLo/ZeG1oRLA8HoN\nw815XcWui0kMr5zz8wUvwikRx93N1/sBUtbneQybzWq1WJS7oJcPuzDe1Wc4/RHC9Ws4H4hk\nuACMgjOfo3oYBlkARkEYonoQBlkARqLPfQzFT9eTGF7jPgZdAMai353Pi8e7FlpPok+nLUO3\nX26vmXp/lKowAGPRaxjWRXiy17nlJPpzCkD1y/7Shup5DLIAjEm/J7jtFiF8PbmyaptJ9Kdy\nIbwQbv78+9D0/zYAN/o+83mzOGxRWm1Gfrhq9Wy1y67mm7vuHwowFn2H4TcNy+LptpXkV6Yv\nh8FwARid/sPwa7NazCYRBlkARmiQMDTcPaYjeF7ZxzCCvwbAX+mEIcYk+nB3CNLtl33lL5ny\nXwKgmTOf31Opwv7uy+1Qx3ABGCtheE+4+fPRw9L9GwA8IQxvCXdfnzwMYISGCsNID1d9KQyG\nC8CoCcNbXgiDLAAjZ1PSe57tY5AFYPSE4T33x6Te393jrAB0QxgeqB5+Gv7+xz+P73yWADon\nDI1uBwdPBgrXxwCMnjA0Cg1/Njw6iXkGaE8YmtwegPT8YKQU5hggil6vlfTydfJSWM2+EwbD\nBSAjPYZhlWsYZAHISp+bkjbFvOtJxPTqPoYkZhYgml73MWzCsutJtFMZyLx2VJLhApCbfnc+\nr8Km60m08GftX3sew9+nAGTFUUn3U31j2rIA5EgY/kz05YnLApAlYfgz0RcnbrgAZEoY/kz0\npYnLApAtYbif6ivTlgUgYxMNQ+0xRq9cKe/4wOjzA5COSYahsQBPTsi+eTZAtqYZhhYTkQUg\nd1MMw9vHpdY8FyBbwvDWM3UByJ8wvPE8WQCmYIph+GwfgywAEzHNMLx6XOrtc7qZFYDkTDIM\nLx6XWnl8RzMCkJyJhuE9sgBMiTA8JQvAtAjDMynNC0APhOExwwVgcoThEVkAJkgYHkhkNgB6\nlU0Y3j0A9ZWfGPkHAoxCJmH45JS1F34iwATlEobPntb882QBmKw8wtDmQtoxpg+QEWGo+Wm6\nAEyZMPz5WbIATFseYYi3j0EWgMnLJQyRjkqSBYBMwhDnPAbDBYCMwhBhorIAsBeG6yRlAaAk\nDENNESBRwlBOTxcAzoRBFgAqhMFWJICKyYfBcAGgauJhkAWAe5MOgywA/DXlMMgCQI3phsFw\nAaDWVMMgCwANphkGWQBoNMkwyAJAswmGwXAB4JHJhUEWAB6bWhhkAeCJaYXBcAHgqSmFQRYA\nXjCdMMgCwEsmEwZZAHjNRMJguADwqkTDAMBgPlhrxw/B+5KYiYx4PaPycsbl9Yyrk9cziX+k\nJGYiI17PqLyccXk94xIGXuP1jMrLGZfXMy5h4DVez6i8nHF5PeMSBl7j9YzKyxmX1zMuYeA1\nXs+ovJxxeT3jEgZe4/WMyssZl9czLmHgNV7PqLyccXk94xIGXuP1jMrLGZfXMy5h4DVez6i8\nnHF5PeMSBl7j9YzKyxmX1zMuYeA1Xs+ovJxxeT3jyjcMAKRDGACoEAYAKoQBgAphAKBCGACo\nEAYAKoQBgAphAKBCGACoEAYAKoQBgAphAKBCGACoEAYAKoQBgIpkwvCTzJxkYDULxXI39Fxk\nYVl4KWOyaEbXyaozldXxrkhlTjKwDAeFt1978/KlnA09G9mwaEbXzaozldXxIqQyJ+O3CV+/\nb7xV+Bp6RsbvJxSb/aYIP0PPSCYsmvF1s+pMZHX8LwhDNIvjS+kVbW8Z1vvD0vk99IxkwqIZ\nXUerzjT+hbZhblmJzSva3iJs94ffcxdDz0heLJrRdLXqTONfaB62lpXIdmE+9CyMX/Abbgcs\nmvF0tepMYon/Dv+892JblVtBaEUYumDRjKazVWcKS3w5Uvfei2tb2PzRnjB0wKIZTXerzhSW\n+Nnh6DXvvah2hdF6BMIQn0Uznu5WnUMu8eUhzWH/VQ4svfdaO72epblD72MohCE6i2Y0Ha46\nEwhDuBhwXnJwfRG3s/l26LnJwvGopK2jkqKxaEbU4aozgZWxMMS2dtRHJN/lr2TrsBx6RnJh\n0Ywp7zAcyUI0W2++WJz5HJdFswPZbUqqEIZovozAopmVL6S1WSQWzQ4IAy+xaS6eXXl11aHn\nIhsWzQ7kHQYA0iAMAFQIAwAVwgBAhTAAUCEMAFQIAwAVwgBAhTAAUCEMAFQIAwAVwgBAhTAA\nUCEMAFQIAwAVwgBAhTAAUCEMAFQIAwAVwgBAhTAAUCEMAFQIAwAVwgBAhTAAUCEMAFQIAwAV\nwgBAhTAAUCEMAFQIAwAVwgBAhTAAUCEMZCDc+P3m7eevjz+k8afffLNbzkKYLXfv/dwP5gmG\nY3klAy3DMAvHH9L406+3/50ns3rr5woDo2J5JRfnle/7K+Enz7i5+7cLy+1+v12+VIbrE4WB\nUbG8kosewrArwvp4ax3C861JwsBIWV7JxU0YlqH4Lm+vZqE4/Wr/e3O2Ot6/m4XFzZ3HLVCn\n5y+LMN8ebqwXIRTL2x/8+4ywPN9chu/zPeWftw/fLsrp3/zc4wOvc7OehzBfd/RCQFvCQC6u\nYVicdwKUN8L88F/nl5vl/cubO2/DUD6s+B0MfB93JSz3t2FYhM355s/xmecJVx5eHG5+/wnD\ndW5Wr++ngAEIA7m4hmG++131zg7be35v7eaHzT//QrHZb4rw73R/5c7r+v3f4T9+Hdbv4fDQ\nf+U99VuErgOB462bh5+nf3t3ZYLFITD/Dg+BFAkDubiG4ef03aLcD7A7bDdalDsH1sdf8w/3\n3955XYEvDvftQlH5ma+EofLwnz93381NCDYjkTJhIBfVnc/H1fH5ENbznZWbd3feH1a6XX/P\n3wjD3cP//tybCS5DWGw2e0iUMJCLyGGYn++t38ewqQ41/jz8YRj234fdEMW2o1cCWhIGclEX\nhvs77xqxb37GV5it1tu7MJyOStpsD7/0V3ZO/Hl4XRhu53a9nNnHQKqEgVz8DcPiuin/vI/h\n8mv+7Z3XZ8wv+xjK/3YfhtN5DIuwOO45Lu/5uaz1H4dhcb9jIXj3kSiLJrn4G4byUKTfX/MX\nd0cllQ+7uTOE7ekZq8ORQ8vjUUk/+839PobDeW2HM5+/T9uBZmF1OM4o1Dz8+B+3+2sYbiY4\nOx7DZMRAooSBXPwNw2nDf7kOvz2P4fi4652zcBkjXM5jWJ52CPxUf7NfX/YUHE5CKM9HWJx2\nJ1cffvjz+nPv5ubf5cGQImEgFzVhOJxrHL6O+3hXxeXM59MTLnf+zC5hKA8YKp/w9ZuRn9tt\nT0enq6uu5+XJ099F+Dref//ww5/Xn3s/N+WZz7pAqoQBPrL+HnoOoCvCAECFMABQIQwAVAgD\nABXCAECFMABQIQwAVAgDABXCAECFMABQIQwAVAgDABXCAECFMABQIQwAVAgDABXCAECFMABQ\nIQwAVAgDABXCAECFMABQIQwAVAgDABXCAECFMABQIQwAVAgDABXCAECFMABQ8R91nrGHBa5w\naAAAAABJRU5ErkJggg==",
      "text/plain": [
       "Plot with title \"Normal Q-Q Plot\""
      ]
     },
     "metadata": {
      "image/png": {
       "height": 480,
       "width": 780
      },
      "text/plain": {
       "height": 480,
       "width": 780
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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3nDojeN5igGmpJ4/OYNi940mqMYaEri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\nUFAMABQUAwAFxQBA4f8wwCGeFwEiWQAAAABJRU5ErkJggg==",
      "text/plain": [
       "Plot with title \"Histogram of sample_means\""
      ]
     },
     "metadata": {
      "image/png": {
       "height": 480,
       "width": 780
      },
      "text/plain": {
       "height": 480,
       "width": 780
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "qq_mean(grade_M, n_M)\n",
    "hist_mean(grade_M, n_M)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Wnioski\n",
    "Zarówno w przypadku populacji dziewczyn, jak i chłopców rozkład średniej przy wielkości naszych próbek możemy przybliżyć rozkładem normalnym."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2. Równość wariancji w populacjach\n",
    "##### Test F\n",
    "+ $H_0: \\sigma_M^2=\\sigma_F^2$\n",
    "+ $H_1: \\sigma_M^2 > \\sigma_F^2$\n",
    "+ $\\alpha=5\\%$\n",
    "+ Statystyka testowa $F= \\frac{S_M^2}{S_F^2}$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "FALSE"
      ],
      "text/latex": [
       "FALSE"
      ],
      "text/markdown": [
       "FALSE"
      ],
      "text/plain": [
       "[1] FALSE"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Statystyka testowa: \n",
    "F_t <- M_sd^2/F_sd^2\n",
    "#P-wartość: P(F>F_t)\n",
    "pf(F, df1=n_M-1, df2=n_F-1, lower.tail=FALSE) < 0.05"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Wnioski\n",
    "Nie ma podstaw do odrzucenia $H_0$, więc założenie o równości wariancji możemy uznać za zasadne."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Test T dla dwóch populacji\n",
    "+ Test dotyczy średniej klasy ocen.\n",
    "+ Populacje:\n",
    "    + $F$ - dziewczyny uczęszczające do szkoły\n",
    "    + $M$ - analogiczna definicja dla chłopców\n",
    "    \n",
    "+ Poziom istotności testu $\\alpha = 5%$\n",
    "+ Hipoteza zerowa: $H_0 = \\mu_F \\leq \\mu_M$\n",
    "+ Hipoteza alternatywna: $H_1 = \\mu_F > \\mu_M$\n",
    "+ Statystyka $T_{n_f+n_m-2} = \\frac\n",
    "{(\\bar{x_F}-\\bar{x_M})-0}\n",
    "{\\sqrt\n",
    "{\\frac\n",
    "{(n_f-1)S_F^2+(n_m-1)S_M^2}{n_f+n_m-2}(\\frac{1}{n_f}+\\frac{1}{n_m}})}$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "TRUE"
      ],
      "text/latex": [
       "TRUE"
      ],
      "text/markdown": [
       "TRUE"
      ],
      "text/plain": [
       "[1] TRUE"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "TRUE"
      ],
      "text/latex": [
       "TRUE"
      ],
      "text/markdown": [
       "TRUE"
      ],
      "text/plain": [
       "[1] TRUE"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "wariancja_laczna <- sqrt((((n_F-1)*F_sd^2 + (n_M-1)*M_sd^2)/(n_F+n_M-2))*(1/n_F+1/n_M))\n",
    "T <- (F_mean-M_mean)/wariancja_laczna\n",
    "p <- pt(-T, df=n_F+n_M-2) \n",
    "\n",
    "p < 0.05 #Test jednostronny\n",
    "2*p < 0.05 #Test dwustronny"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "+ Decyzja: Odrzucamy $H_0$ na rzecz $H_1$ z prawdopodobieństem popełnienia błędu I-rodzaju równym $5\\%$. Dodatkowo, pokazaliśmy, że test dwustronny miałby taki sam rezultat."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Podsumowanie\n",
    "Na podstawie analizowanego zbioru danych i odpowiednich testów statystycznych udowodniłam, że wśród uczniów będących na etapie edukacji niższym niż liceum:\n",
    "+ dziewczyny średnio większą ilość razy korzystają z materiałów edukacyjnych\n",
    "+ dziewczyny średnio lepiej się uczą niż chłopcy\n",
    "\n",
    "Ponadto, analiza danych wykazała również, że uzyskiwana ocena jest silnie skorelowana liniowo z zaangażowaniem w proces uczenia się (tj. `RaisedHand`, `AnnouncementsViews`, `VisitedResources`), a szczególnie z częstością korzystania z materiałów edukacyjnych zapewnionych przez placówkę eduakcyjną."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3.3 Analiza innych czynników\n",
    "Naturalnym wydaje się podejrzenie, że na wyniki w nauce ucznia wpływa liczba jego nieobecności. Narysujmy wykres:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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jXJXSZYSWZKn1ADFkNLnGqSu0ywksyU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\nRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 480,
       "width": 780
      },
      "text/plain": {
       "height": 480,
       "width": 780
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "p1 <- ggplot(data, aes(x=AbsenceDays, fill=GradeClass)) + geom_bar() + theme_gray(base_size=17)\n",
    "p1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Spostrzeżenia i wnioski\n",
    "+ Wśród uczniów mających więcej niż siedem nieobecności bardzo mała liczba osób osiąga wynik z klasy `High`. Większość otrzymuje ocenę najgorszej klasy."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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cldJlhJZkqfUAMWQ0ucapK7TLCSzJQ+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\ngMWAhtJj4y4TrAoDFPQJNWAxoKH02LjLBKvCAAV9Qg1YDGgoPTb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UHht3mWBVGKCgT6gBiwENpcfGXSZYFQYo6BNqwGJAQ+mxcZcJVoUB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",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 480,
       "width": 780
      },
      "text/plain": {
       "height": 480,
       "width": 780
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "p1 <- ggplot(data, aes(x=ParentSchoolSatisfaction, fill=GradeClass)) + geom_bar() + theme_gray(base_size=17)\n",
    "p1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Spostrzeżenia i wnioski\n",
    "+ Rodzice określający swój poziom zadowolenia z placówki jako dobry, to w większości rodzice dzieci osiągających wyniki z klasy `Medium` i `High`.\n",
    "+ Analogicznie w grupie rodziców niezadowolonych z placówki więcej dzieci osiąga wyniki z grupy `Low'.\n",
    "\n",
    "Aby potwierdzić zabserwowaną na wykresach zależność `ParentSchoolSatisfaction` i `AbsenceDays` z `GradeClass` wykonamy dwa analogiczne testy $\\chi^2$ na niezależność, oba na poziomie istotności $5\\%$.\n",
    "+ Hipoteza zerowa: $H_0:$ zmienne są niezależne\n",
    "+ Hipoteza alternatynwa: $H_1:$ zmienne są zależne"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Najpierw zliczamy wystapienia zmiennych:\n",
    "#Dla testu 1.:\n",
    "table1 <- table(data$GradeClass, data$AbsenceDays)\n",
    "#Dla testu 2.:\n",
    "table2 <- table(data$GradeClass, data$ParentSchoolSatisfaction)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Test dla `AbsenceDays` i `GradeClass`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [],
   "source": [
    "t1 <- chisq.test(table1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Wartości oczekiwane:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "   \n",
      "     Above-7   Under-7\n",
      "  L 50.53542  76.46458\n",
      "  M 83.96042 127.03958\n",
      "  H 56.50417  85.49583\n"
     ]
    }
   ],
   "source": [
    "print(t1$expected)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Założenie testu $\\forall E_i>5$ jest spełnione.\n",
    "\n",
    "#### Wartości zaobserwowane:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "   \n",
       "    Above-7 Under-7\n",
       "  L     116      11\n",
       "  M      71     140\n",
       "  H       4     138"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "t1$observed"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Wynik testu:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "\tPearson's Chi-squared test\n",
       "\n",
       "data:  table1\n",
       "X-squared = 225.2, df = 2, p-value < 2.2e-16\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "t1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**P-wartość jest mniejsza niż $0.05$, więc odrzucamy $H_0$ na rzecz $H_1$.**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Test dla `ParentSchoolSatisfaction` i `GradeClass`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [],
   "source": [
    "t2 <- chisq.test(table2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Wartości oczekiwane:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "   \n",
      "         Bad      Good\n",
      "  L 49.74167  77.25833\n",
      "  M 82.64167 128.35833\n",
      "  H 55.61667  86.38333\n"
     ]
    }
   ],
   "source": [
    "print(t2$expected)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Założenie testu $\\forall E_i>5$ jest spełnione.\n",
    "\n",
    "#### Wartości zaobserwowane:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "   \n",
       "    Bad Good\n",
       "  L  84   43\n",
       "  M  80  131\n",
       "  H  24  118"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "t2$observed"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Wynik testu:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "\tPearson's Chi-squared test\n",
       "\n",
       "data:  table2\n",
       "X-squared = 68.47, df = 2, p-value = 1.355e-15\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "t2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**P-wartość jest mniejsza niż $0.05$, więc odrzucamy $H_0$ na rzecz $H_1$.**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 4. Model regresji\n",
    "+ Problem: przewidywanie klasy oceny ucznia (`GradeClass`) na podstawie dostępnych informacji\n",
    "+ Mamy do czynienia z problemem wielokrotnej klasyfikacji (multinomial logistic regression)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "TRUE"
      ],
      "text/latex": [
       "TRUE"
      ],
      "text/markdown": [
       "TRUE"
      ],
      "text/plain": [
       "[1] TRUE"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Dzielimy zbiór danych na dwa zbiory:\n",
    "shuffled.data <- data[sample(nrow(data)),]\n",
    "part <- round(n*0.6, digits=0)\n",
    "\n",
    "train.data <- shuffled.data[1:part, ]\n",
    "test.data <- shuffled.data[seq(part+1, nrow(data), by=1), ]\n",
    "\n",
    "#Sprawdzenie czy podział jest prawidłowy:\n",
    "nrow(train.data) + nrow(test.data) == nrow(data)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Z wykorzystaniem biblioteki `nnet` budujemy model regresji logistycznej z użyciem `train.data`. Zmienne wprowadzone dla modelu to te, które podczas analizy wydawały się być skorelowane z `GradeClass. ` "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "# weights:  24 (14 variable)\n",
      "initial  value 316.400339 \n",
      "iter  10 value 183.954721\n",
      "iter  20 value 162.158079\n",
      "final  value 162.142373 \n",
      "converged\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Call:\n",
       "nnet::multinom(formula = GradeClass ~ VisitedResources + RaisedHand + \n",
       "    AnnouncementsViews + Gender + ParentSchoolSatisfaction + \n",
       "    AbsenceDays, data = train.data)\n",
       "\n",
       "Coefficients:\n",
       "  (Intercept) VisitedResources RaisedHand AnnouncementsViews   GenderM\n",
       "M   -3.119603       0.03735912 0.02582230         0.04144582 -1.006159\n",
       "H   -8.545802       0.05046428 0.05179838         0.04914999 -1.397143\n",
       "  ParentSchoolSatisfactionGood AbsenceDaysUnder-7\n",
       "M                    0.8952831           2.634988\n",
       "H                    1.5220174           5.036856\n",
       "\n",
       "Std. Errors:\n",
       "  (Intercept) VisitedResources RaisedHand AnnouncementsViews   GenderM\n",
       "M   0.7441406       0.01178785 0.01464638         0.01448363 0.5787034\n",
       "H   1.1628357       0.01408059 0.01656097         0.01638557 0.6658027\n",
       "  ParentSchoolSatisfactionGood AbsenceDaysUnder-7\n",
       "M                    0.4847026          0.5457141\n",
       "H                    0.6151284          0.7859050\n",
       "\n",
       "Residual Deviance: 324.2847 \n",
       "AIC: 352.2847 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model <- nnet::multinom(GradeClass ~ VisitedResources+RaisedHand+AnnouncementsViews+Gender+ParentSchoolSatisfaction+AbsenceDays, data = train.data)\n",
    "summary(model)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Sprawdźmy celność wyliczonych współczynników:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "0.75"
      ],
      "text/latex": [
       "0.75"
      ],
      "text/markdown": [
       "0.75"
      ],
      "text/plain": [
       "[1] 0.75"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "predicted.classes <- model %>% predict(test.data)\n",
    "\n",
    "#Celność:\n",
    "mean(as.numeric(predicted.classes) == as.numeric(test.data$GradeClass))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Udało się uzyskać model z celnościa na poziomie 75%."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 5. Podsumowanie\n",
    "Wyniki, które udało się uzyskać w tej analizie są bardzo ciekawe, jednak wymagają przeprowadzenia wykraczjących poza tę pracę dalszych badań na większej próbie. Aby móc efektywnie wykorzystać uzyskane rezultaty w uniwersalnym modelowaniu systemu edukacji, konieczne jest między innymi zbadanie wpływu regionu kulturowego, czy metod stosowanych przez daną placówkę na otrzymane wyniki. \n",
    "\n",
    "Niemniej, powyższa analiza pokazuje jak duży potencjał w kontekście badań nad optymalizacją uczenia się ma mierzenie fukncji behawioralnych ucznia.  Przeprowadzenie takiego badania lokalnie w obrębie pojedycznej placówki edukacyjnej może potencjalnie pomóc w wypunktowaniu słabych stron stosowanego systemu edukacji i zrozumieniu czynników wpływających na osiągane przez uczniów wyniki akademickie. Wreszcie analiza z uwzględnienim funkcji behawioralnych może stanowić świetną bazę do dalszej optymalizacji systemu uczenia się. \n"
   ]
  }
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