{ "cells": [ { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "Nv_z8VH6bI0J" }, "source": [ "# \"Mau Sekolah di Mana?\"\n", "> \"Visualisasi data dari banyak variabel menggunakan Principal Component Analysis\"\n", "\n", "- toc: false\n", "- branch: master\n", "- badges: true\n", "- comments: true\n", "- author: Elvyna Tunggawan\n", "- categories: [statis]" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "fQQmaODCbI0K" }, "source": [ "*Disclaimer: post ini menggunakan data peringkat universitas dunia pada tahun 2016 menurut Times Higher Education, yang diunduh dari [Kaggle](https://www.kaggle.com/mylesoneill/world-university-rankings?select=timesData.csv).*" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": {}, "colab_type": "code", "id": "sJfP1JSCbI0L", "outputId": "6c616b8a-5d3a-4a48-8c53-9562af0ad427" }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "\n", "Attaching package: ‘dplyr’\n", "\n", "The following objects are masked from ‘package:stats’:\n", "\n", " filter, lag\n", "\n", "The following objects are masked from ‘package:base’:\n", "\n", " intersect, setdiff, setequal, union\n", "\n" ] } ], "source": [ "#hide\n", "\n", "options(warn=-1)\n", "suppressWarnings(library(stringr))\n", "suppressWarnings(library(dplyr))\n", "\n", "DIRECTORY <- 'dataset/world-university-ranking/'\n", "setwd(DIRECTORY)\n", "df.times <- read.csv('datasets_27_792993_timesData.csv')\n", "country.mapping <- read.csv('country.csv')\n", "df.times$international <- as.numeric(df.times$international)\n", "\n", "\n", "df.times$num_students <- as.numeric(str_replace(df.times$num_students,',',''))\n", "df.times$total_score <- as.numeric(str_replace(df.times$total_score,'-',''))\n", "df.times$world_rank <- as.numeric(str_replace(df.times$world_rank,'=',''))\n", "df.times$international_students <- as.numeric(str_replace(df.times$international_students,'%','')) / 100\n", "df.times$female.ratio <- as.numeric(sapply(str_split(df.times$female_male_ratio,\" : \"), getElement, 1))\n", "\n", "df.times$country <- as.character(df.times$country)\n", "df.times$country <- ifelse(df.times$country == \"Unisted States of America\", \"United States of America\", \n", " ifelse(df.times$country == \"Unted Kingdom\", \"United Kingdom\", df.times$country)\n", " )\n", "\n", "df.times <- df.times %>% merge(country.mapping, how='left', by = c('country'='country'))\n", "df.2016 <- df.times %>% filter(year == 2016)" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "zoNGviaUbI0Q" }, "source": [ "Menurut versi ini, peringkat universitas ditentukan berdasarkan beberapa aspek, di antaranya yaitu (1) lingkungan belajar, (2) pandangan ranah internasional terhadap universitas, (3) reputasi dan jumlah penelitian, (4) pengaruh riset terhadap komunitas peneliti, (5) jumlah mahasiswa, (6) perbandingan mahasiswa dibanding staf, (7) proporsi mahasiswa internasional, dan 8) rasio mahasiswa perempuan dibanding laki-laki.\n", "\n", "Kalau diperhatikan, aspek-aspek tersebut tidak terdistribusi normal. Misalnya, mayoritas universitas memiliki nilai sekitar 20-40 dalam hal lingkungan belajar (1) -- dan ada sedikit universitas dengan nilai lebih dari 75. Pola serupa terlihat dalam aspek (3), (5), (6), dan (7)." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": {}, "colab_type": "code", "id": "T7NmVemNbI0Q", "outputId": "316330dc-6769-44da-a651-ca09d845f4d5" }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Registered S3 methods overwritten by 'ggplot2':\n", " method from \n", " [.quosures rlang\n", " c.quosures rlang\n", " print.quosures rlang\n" ] }, { "data": { "image/png": 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fVAYHeAwBxAYD0Q2B0gMAcQWA8EdgcIzAEE1gOB3QECczC5BHamTuUCgd0BAnMA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\n4DAcZPuabA0yo80om2h9UTjYGutdu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P\nH5LnCUpPkH+8eO5lr3S8a9FbisCtN529+PO/F5qk9ONrZy25FT1FVhsQGIAqBgIDUMVAYACq\nGAgMQBUDgQGoYiAwAFUMBAagioHAAFQxEBiAKgYCA1DFQGAAqhgIDEAVA4EBqGIgMABVzFwB\nAFC9/F9lZLnB8nq5DwAAAABJRU5ErkJggg==", "text/plain": [ "plot without title" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "#collapse-hide\n", "suppressWarnings(library(ggplot2))\n", "library(ggthemes)\n", "theme_set(theme_clean())\n", "library(reshape2)\n", "library(repr)\n", "options(repr.plot.width = 8, repr.plot.height = 6)\n", "\n", "numeric.vars <- c('teaching', 'international', 'research', 'citations',\n", " 'num_students', 'student_staff_ratio', 'international_students', 'female.ratio')\n", "df.2016.melt <- df.2016 %>% melt(id.vars = c('world_rank', 'university_name','country'),\n", " measure.vars = numeric.vars)\n", "\n", "ggplot(data = df.2016.melt) +\n", " geom_histogram(aes(x = value), bins = 15) +\n", " facet_wrap(.~variable, scales = 'free')" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "yc3IJDfjbI0U" }, "source": [ "Mengingat jumlah variabel yang cukup banyak, memvisualisasikan sebaran universitas menjadi sulit. Salah satu teknik yang umum dilakukan untuk mengurangi dimensi data yaitu *Principal Component Analysis*. Singkatnya, teknik ini membentuk dimensi-dimensi baru berdasarkan kombinasi linear antarvariabel, dengan tujuan tetap menyimpan informasi perihal variansi data. Oke, supaya tidak membingungkan, mari kita lihat hasilnya." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": {}, "colab_type": "code", "id": "-lVuEBwRbI0g", "outputId": "7779a1e0-cf4f-4b40-e55b-d39b758da5c5" }, "outputs": [ { "data": { "image/png": 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ztjH3nTpk3Hjx/3+CIAAAAAeBYFYYUWLVo0duzY7du3nz9/vqH74jFqtXrgwIFa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GucxYhoinXZDKghXTznb8R0Fn6mB13/MJ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\nam5LnGw0iAYvK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"text/plain": [ "plot without title" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "#collapse-hide\n", "\n", "## singkirkan observasi dengan data yang tidak lengkap\n", "df.2016.complete <- df.2016[complete.cases(df.2016[, numeric.vars]),]\n", "## komponen dibentuk menggunakan matriks korelasi, \n", "## karena rentang nilai variabel beragam\n", "pc <- prcomp(df.2016.complete[, numeric.vars], scale = TRUE) \n", "df.2016.complete$pc1 <- pc$x[, 1]\n", "df.2016.complete$pc2 <- pc$x[, 2]\n", "\n", "options(repr.plot.width = 10, repr.plot.height = 4)\n", "p <- ggplot(data = df.2016.complete) +\n", " geom_point(aes(\n", " x = pc1,\n", " y = pc2,\n", " col = as.factor(continent)\n", " ),\n", " alpha = 0.8) +\n", " scale_color_brewer(\n", " name = 'Continent',\n", " palette = 'Set2'\n", " ) + scale_x_continuous(\n", " name = 'PC1 (38.9% var)'\n", " ) + scale_y_continuous(\n", " name = 'PC2 (19.9% var)'\n", " ) + theme(\n", " legend.position = 'top',\n", " legend.direction = 'horizontal'\n", " ) + annotate(\n", " \"text\", \n", " x = -4.2, \n", " y = 16, \n", " label = \"Anadolu University\", \n", " size = 3, \n", " colour = 'black', \n", " face = \"bold\"\n", " ) + annotate(\n", " \"text\", \n", " x = -3, \n", " y = 10, \n", " label = \"University of South Africa\", \n", " size = 3, \n", " colour = 'black', \n", " face = \"bold\"\n", " ) + annotate(\n", " \"text\", \n", " x = -2.95, \n", " y = 6.8, \n", " label = \"Cairo University\", \n", " size = 3, \n", " colour = 'black', \n", " face = \"bold\"\n", " ) + annotate(\n", " \"text\", \n", " x = 6.75, \n", " y = -2, \n", " label = \"Imperial College \\n London\", \n", " size = 3, \n", " colour = 'black', \n", " face = \"bold\"\n", " ) + annotate(\n", " \"text\", \n", " x = 6.65, \n", " y = 0.35, \n", " label = \"University of Oxford\", \n", " size = 3, \n", " colour = 'black', \n", " face = \"bold\"\n", " )\n", "\n", "p" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "GDfSB0bKbI0j" }, "source": [ "Dengan menggunakan dua komponen, 58% variansi pada data sudah bisa direpresentasikan. Meski tidak sempurna, sekarang kita bisa melihat sebaran universitas dengan lebih mudah, bukan? Berdasarkan grafik ini, terlihat ada beberapa universitas yang menjadi pencilan:\n", "\n", "1. Anadolu University (Turki, Asia)\n", "2. University of South Africa (Afrika Selatan, Afrika)\n", "3. Cairo University (Mesir, Afrika)\n", "\n", "Selain itu, komponen pertama (sumbu x) memiliki nilai dengan variasi lebih besar dibanding komponen kedua. Kalau diperhatikan, universitas dengan nilai tinggi pada komponen pertama merupakan universitas yang cukup terkenal, misalnya Imperial College London dan University of Oxford. \n", "\n", "Meskipun variabel asli sudah direduksi menjadi komponen-komponen ini, kita bisa melihat kira-kira variabel mana, *sih*, yang mempengaruhi suatu komponen. Seperti ditampilkan di bawah, komponen pertama memiliki korelasi positif dengan hal-hal terkait kualitas pembelajaran: kualitas penelitian, banyaknya jumlah kutipan, lingkungan pembelajaran, dan reputasi di ranah internasional. Sementara itu, komponen kedua berkaitan dengan jumlah mahasiswa dan komposisi mahasiswa perempuan dan laki-laki." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": {}, "colab_type": "code", "id": "OMb_GS7vbI0k", "outputId": "6fa57af5-4ccf-4b05-c01a-f4cffba6510d" }, "outputs": [ { "data": { "image/png": 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4iSk5P1en16erpWq502bVp8fHxeXl5eXl5ycvKyZcsMBsPFixerqqoWLlzIPN1u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"text/plain": [ "plot without title" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "#collapse-hide\n", "pc.rotated <- varimax(pc$rotation[,1:2])\n", "## hanya tampilkan variabel dengan korelasi >.2\n", "# print(round(pc.rotated$loadings,2), cutoff=.2)\n", "\n", "pc1.loadings <- pc.rotated$loadings[,1]\n", "pc2.loadings <- pc.rotated$loadings[,2]\n", "pc.rotated.loadings <- cbind(as.data.frame(pc1.loadings), as.data.frame(pc2.loadings))\n", "pc.rotated.loadings$original.variable <- row.names(pc.rotated.loadings)\n", "\n", "pc.rotated.loadings.melt <- pc.rotated.loadings %>% melt(\n", " id.vars = 'original.variable',\n", " measure.vars = c('pc1.loadings','pc2.loadings')\n", ")\n", "\n", "options(repr.plot.width = 7, repr.plot.height = 4)\n", "ggplot(data = pc.rotated.loadings.melt) + geom_bar(\n", " aes(\n", " x = original.variable,\n", " y = value,\n", " fill = variable\n", " ), \n", " stat = 'identity',\n", " position = 'dodge'\n", " ) + scale_fill_brewer(\n", " palette = 'Set2'\n", " ) + scale_x_discrete(\n", " name = ''\n", " ) + scale_y_continuous(\n", " name = 'correlation',\n", " breaks = seq(-1,1,.1)\n", " ) + geom_hline(\n", " yintercept = .2,\n", " color = 'blue',\n", " linetype = 'dashed'\n", " ) + geom_text(\n", " aes(\n", " x = 8.5,\n", " y = .3,\n", " label = 'threshold: 0.2'\n", " ), \n", " colour = 'blue'\n", " ) + coord_flip()" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "8LiU8u7jbI0n" }, "source": [ "Kalau kita lihat kembali grafik sebaran universitas sebelumnya, mungkin terasa agak janggal: hanya sedikit universitas di Asia dan Afrika yang memiliki nilai positif pada komponen pertama. Berarti, data ini mengindikasikan bahwa mayoritas universitas di Asia dan Afrika memiliki kualitas pembelajaran di bawah rata-rata jika dibandingkan dengan keseluruhan universitas di dunia. Apakah benar kenyataannya begitu, atau ada bias dalam penilaian? Mungkin teman-teman bisa mengeksplorasi sumber data lain dan membandingkannya." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": {}, "colab_type": "code", "id": "LFr790GpbI0o", "outputId": "9ee1d461-e330-4629-fce9-40488692f626" }, "outputs": [ { "data": { "image/png": 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MqVKzqdLiMjw6Y9JSVFp9MVFBTYtB89elSn09mk8vXr13U63YkTJ2wmzsnJ0el0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gUzBKQaEAuRIszez4HrJgtd+WJD4J5vwv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"text/plain": [ "plot without title" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "#collapse-hide\n", "\n", "df.2016.subset <- df.2016.complete %>% filter(continent %in% c('Asia','Africa'))\n", "options(repr.plot.width = 10, repr.plot.height = 4)\n", "ggplot(data = df.2016.subset) +\n", " geom_point(aes(\n", " x = pc1,\n", " y = pc2,\n", " col = as.factor(continent)\n", " ),\n", " alpha = 0.8) +\n", " scale_color_brewer(\n", " name = 'Continent',\n", " palette = 'Set2'\n", " ) + scale_x_continuous(\n", " name = 'PC1 (38.9% var)'\n", " ) + scale_y_continuous(\n", " name = 'PC2 (19.9% var)'\n", " ) + theme(\n", " legend.position = 'top',\n", " legend.direction = 'horizontal'\n", " ) + annotate(\n", " \"text\", \n", " x = -4.2, \n", " y = 16, \n", " label = \"Anadolu University\", \n", " size = 3, \n", " colour = 'black', \n", " face = \"bold\"\n", " ) + annotate(\n", " \"text\", \n", " x = -3, \n", " y = 10, \n", " label = \"University of South Africa\", \n", " size = 3, \n", " colour = 'black', \n", " face = \"bold\"\n", " ) + annotate(\n", " \"text\", \n", " x = -2.95, \n", " y = 6.8, \n", " label = \"Cairo University\", \n", " size = 3, \n", " colour = 'black', \n", " face = \"bold\"\n", " ) + annotate(\n", " \"text\", \n", " x = 4.7, \n", " y = 1.8, \n", " label = \"National University \\n of Singapore\", \n", " size = 3, \n", " colour = 'black', \n", " face = \"bold\"\n", " ) + annotate(\n", " \"text\", \n", " x = 4.3, \n", " y = -1.5, \n", " label = \"University of \\nHong Kong\", \n", " size = 3, \n", " colour = 'black', \n", " face = \"bold\"\n", " ) + annotate(\n", " \"text\", \n", " x = 3.1, \n", " y = 0.7, \n", " label = \"Nanyang Technological \\nUniversity\", \n", " size = 3, \n", " colour = 'black', \n", " face = \"bold\"\n", " )" ] } ], "metadata": { "colab": { "name": "2020-07-06 World University Ranking - Times Dataset - ID.ipynb", "provenance": [] }, "kernelspec": { "display_name": "R", "language": "R", "name": "ir" }, "language_info": { "codemirror_mode": "r", "file_extension": ".r", "mimetype": "text/x-r-source", "name": "R", "pygments_lexer": "r", "version": "4.0.0" } }, "nbformat": 4, "nbformat_minor": 4 }