{"id":1834,"date":"2026-06-22T15:18:53","date_gmt":"2026-06-22T08:18:53","guid":{"rendered":"https:\/\/people.usd.ac.id\/~ydkristanto\/?page_id=1834"},"modified":"2026-06-23T15:07:02","modified_gmt":"2026-06-23T08:07:02","slug":"menemukan-ide-di-balik-anova","status":"publish","type":"page","link":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/media-pengajaran\/menemukan-ide-di-balik-anova\/","title":{"rendered":"Menemukan Ide di Balik ANOVA"},"content":{"rendered":"\n<div class=\"wp-block-buttons is-content-justification-right\">\n<div class=\"wp-block-button is-style-outline\"><a class=\"wp-block-button__link\" href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/learning-resources\/discovering-the-idea-behind-anova\/\">EN<\/a><\/div>\n<\/div>\n\n\n\n<p class=\"has-drop-cap\">Tiga spesies penguin, yaitu Adelie, Gentoo, dan Chinstrap, memiliki panjang sirip yang berbeda-beda. Namun, apakah perbedaan yang terlihat pada data benar-benar berkaitan dengan spesiesnya, atau dapat muncul secara kebetulan? Pada simulasi interaktif ini, kamu akan menjawab pertanyaan tersebut sekaligus menemukan ide di balik ANOVA.<\/p>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<div style=\"height:50px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-group alignfull has-gray-background-color has-background\"><div class=\"wp-block-group__inner-container\">\n<h3>Apakah Perbedaannya Hanya Kebetulan?<\/h3>\n\n\n\n<p>Mari mengandaikan bahwa spesies memang tak berpengaruh terhadap panjang sirip. Seperti apa data yang mungkin muncul? Klik &#8220;Kelompokkan&#8221;, kemudian &#8220;Acak&#8221; berulang kali.<\/p>\n\n\n\n<div class=\"wp-block-columns alignwide\">\n<div class=\"wp-block-column\">\n<figure>\n<div id=\"calculator1\" class=\"aligncenter size-full\" style=\"width: 400px; height: 400px;\"><\/div>\n<figcaption>Visualisasi 1: Data asli (dari set data <i><a href=\"https:\/\/allisonhorst.github.io\/palmerpenguins\/\" target=\"_blank\" rel=\"noopener\">palmerpenguins<\/a><\/i>)<\/figcaption>\n<\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column\">\n<figure>\n<div id=\"calculator2\" class=\"aligncenter size-full\" style=\"width: 400px; height: 400px;\"><\/div>\n<figcaption>Visualisasi 2: Panjang sirip yang diletakkan secara acak ke tiap spesies<\/figcaption>\n<\/figure>\n<\/div>\n<\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group is-style-twentytwentyone-border\"><div class=\"wp-block-group__inner-container\">\n<p class=\"has-small-font-size\"><strong>Catatan:<\/strong> Serupa dengan rerata (<em>x\u0304<\/em>) yang merangkum pusat suatu kumpulan data ke dalam satu nilai, statistik <em>F<\/em> juga merangkum suatu kumpulan data dalam satu nilai. Bedanya, statistik <em>F<\/em> menyatakan seberapa jelas pemisahan antar kelompok dalam kumpulan data tersebut.<\/p>\n<\/div><\/div>\n\n\n\n<p>Perhatikan <a href=\"#calculator3\">Visualisasi 3<\/a> untuk melihat distribusi nilai-nilai <em>F<\/em>. Nilai-nilai <em>F<\/em> tersebut diperoleh dengan mengandaikan bahwa spesies tidak berpengaruh terhadap panjang sirip.<\/p>\n\n\n\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container\">\n<figure>\n<div id=\"calculator3\" class=\"aligncenter size-full\" style=\"width: 480px; height: 360px;\"><\/div>\n<figcaption>Visualisasi 3: Distribusi nilai <i>F<\/i> dari pengacakan berulang<\/figcaption>\n<\/figure>\n\n<script>\n  var calculator1 = Desmos.GraphingCalculator(document.getElementById('calculator1'), {\n    expressions: false,\n    settingsMenu: false,\n    trace: false\n  });\n  var calculator2 = Desmos.GraphingCalculator(document.getElementById('calculator2'), {\n    expressions: false,\n    settingsMenu: false,\n    trace: false\n  });\n  var calculator3 = Desmos.GraphingCalculator(document.getElementById('calculator3'), {\n    expressions: false,\n    settingsMenu: false,\n    trace: false\n  });\n\n  var state1 = {\n    \"version\": 11,\n    \"graph\": {\n    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             \"type\": \"expression\",\n                \"id\": \"129\",\n                \"folderId\": \"2\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"x_{1}=\\\\left[\\\\right]\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"130\",\n                \"folderId\": \"2\",\n                \"color\": \"#388c46\",\n                \"latex\": \"s_{ayap}=\\\\left[\\\\right]\"\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"23\",\n                \"folderId\": \"2\",\n                \"text\": \"Keterangan: 1 = Adelie, 2 = Gentoo, 3 = Chinstrap.\"\n            },\n            {\n                \"type\": \"folder\",\n                \"id\": \"19\",\n                \"title\": \"Visualisasi data\",\n                \"collapsed\": true\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"34\",\n                \"folderId\": \"19\",\n                \"text\": \"Dasar:\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"35\",\n                \"folderId\": \"19\",\n                \"color\": \"#c74440\",\n                \"latex\": \"\\\\operatorname{polygon}\\\\left(\\\\left(0,160\\\\right),\\\\left(4,160\\\\right),\\\\left(4,240\\\\right),\\\\left(0,240\\\\right)\\\\right)\",\n                \"lines\": false,\n                \"colorLatex\": \"w_{putih}\",\n                \"fillOpacity\": \"1\"\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"65\",\n                \"folderId\": \"19\",\n                \"text\": \"Kisi-kisi:\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"66\",\n                \"folderId\": \"19\",\n                \"color\": \"#388c46\",\n                \"latex\": \"y=h_{dasar}\\\\left\\\\{0\\\\le x\\\\le4\\\\right\\\\}\",\n                \"colorLatex\": \"w_{lightgray}\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"67\",\n                \"folderId\": \"19\",\n                \"color\": \"#6042a6\",\n                \"latex\": \"y=\\\\left[165,175...235\\\\right]\\\\left\\\\{0\\\\le x\\\\le4\\\\right\\\\}\",\n                \"colorLatex\": \"w_{lightgray}\",\n                \"lineWidth\": \"1\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"68\",\n                \"folderId\": \"19\",\n                \"color\": \"#000000\",\n                \"latex\": \"x=\\\\left[1,2,3\\\\right]\\\\left\\\\{160\\\\le y\\\\le240\\\\right\\\\}\",\n                \"colorLatex\": \"w_{lightgray}\"\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"40\",\n                \"folderId\": \"19\",\n                \"text\": \"Histogram samping (lebar 10):\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"42\",\n                \"folderId\": \"19\",\n                \"color\": \"#6042a6\",\n                \"latex\": \"H_{hitung}=\\\\left[2,37,112,56,62,49,15\\\\right]\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"43\",\n                \"folderId\": \"19\",\n                \"color\": \"#000000\",\n                \"latex\": \"H_{prop}=\\\\operatorname{round}\\\\left(\\\\frac{H_{hitung}}{\\\\max\\\\left(H_{hitung}\\\\right)}\\\\cdot0.5,3\\\\right)\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"45\",\n                \"folderId\": \"19\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"h_{prop}=4+H_{prop}\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"46\",\n                \"folderId\": \"19\",\n                \"color\": \"#388c46\",\n                \"latex\": \"h_{dasar}=\\\\left[170,180...230\\\\right]\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"47\",\n                \"folderId\": \"19\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\operatorname{polygon}\\\\left(\\\\left(4,h_{dasar}-5\\\\right),\\\\left(h_{prop},h_{dasar}-5\\\\right),\\\\left(h_{prop},h_{dasar}+5\\\\right),\\\\left(4,h_{dasar}+5\\\\right)\\\\right)\",\n                \"lines\": true,\n                \"fillOpacity\": \".1\",\n                \"lineWidth\": \"1.5\"\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"32\",\n                \"folderId\": \"19\",\n                \"text\": \"Titik-titik data:\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"20\",\n                \"folderId\": \"19\",\n                \"color\": \"#000000\",\n                \"latex\": \"j_{itter}=\\\\operatorname{round}\\\\left(-\\\\frac{1}{4}+\\\\frac{1}{2}\\\\cdot\\\\operatorname{random}\\\\left(\\\\operatorname{length}\\\\left(s_{ayap}\\\\right)\\\\right),2\\\\right)\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"21\",\n                \"folderId\": \"19\",\n                \"color\": \"#c74440\",\n                \"latex\": \"A_{delie}=\\\\left(x_{1}+j_{itter},s_{ayap}\\\\right)\\\\left[1...146\\\\right]\",\n                \"colorLatex\": \"w_{adelie}\",\n                \"pointOpacity\": \".5\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"27\",\n                \"folderId\": \"19\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"G_{entoo}=\\\\left(x_{1}+j_{itter},s_{ayap}\\\\right)\\\\left[147...265\\\\right]\",\n                \"colorLatex\": \"w_{gentoo}\",\n                \"pointOpacity\": \".5\"\n        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\"19\",\n                \"color\": \"#000000\",\n                \"latex\": \"t_{ms}=\\\\operatorname{round}\\\\left(M_{semua},2\\\\right)\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"83\",\n                \"folderId\": \"19\",\n                \"color\": \"#000000\",\n                \"latex\": \"y=M_{semua}\\\\left\\\\{4\\\\le x\\\\le4.5\\\\right\\\\}\",\n                \"lineStyle\": \"DASHED\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"80\",\n                \"folderId\": \"19\",\n                \"color\": \"#6042a6\",\n                \"latex\": \"M_{adelie}=\\\\operatorname{mean}\\\\left(s_{ayap}\\\\left[1...146\\\\right]\\\\right)\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"92\",\n                \"folderId\": \"19\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"t_{ma}=\\\\operatorname{round}\\\\left(M_{adelie},2\\\\right)\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"84\",\n                \"folderId\": \"19\",\n                \"color\": \"#388c46\",\n                \"latex\": \"y=M_{adelie}\\\\left\\\\{0.6\\\\le x\\\\le1.4\\\\right\\\\}\",\n                \"colorLatex\": \"w_{adelie}\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"87\",\n                \"folderId\": \"19\",\n                \"color\": \"#c74440\",\n                \"latex\": \"\\\\left(1.4,M_{adelie}\\\\right)\",\n                \"showLabel\": true,\n                \"label\": \"${t_{ma}}\",\n                \"hidden\": true,\n                \"labelOrientation\": \"right\",\n                \"labelSize\": \".8\",\n                \"colorLatex\": \"w_{adelie}\",\n                \"pointOpacity\": \".8\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"81\",\n                \"folderId\": \"19\",\n                \"color\": \"#000000\",\n                \"latex\": \"M_{gentoo}=\\\\operatorname{mean}\\\\left(s_{ayap}\\\\left[147...265\\\\right]\\\\right)\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"93\",\n                \"folderId\": \"19\",\n                \"color\": \"#388c46\",\n                \"latex\": \"t_{mg}=\\\\operatorname{round}\\\\left(M_{gentoo},2\\\\right)\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"85\",\n                \"folderId\": \"19\",\n                \"color\": \"#6042a6\",\n                \"latex\": \"y=M_{gentoo}\\\\left\\\\{1.6\\\\le x\\\\le2.4\\\\right\\\\}\",\n                \"colorLatex\": \"w_{gentoo}\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"88\",\n                \"folderId\": \"19\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"\\\\left(2.4,M_{gentoo}\\\\right)\",\n                \"showLabel\": true,\n                \"label\": \"${t_{mg}}\",\n                \"hidden\": true,\n                \"labelOrientation\": \"right\",\n                \"labelSize\": \".8\",\n                \"colorLatex\": \"w_{gentoo}\",\n                \"pointOpacity\": \".8\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"82\",\n                \"folderId\": \"19\",\n                \"color\": \"#c74440\",\n                \"latex\": \"M_{chinstrap}=\\\\operatorname{mean}\\\\left(s_{ayap}\\\\left[266...333\\\\right]\\\\right)\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"94\",\n                \"folderId\": \"19\",\n                \"color\": \"#6042a6\",\n                \"latex\": \"t_{mc}=\\\\operatorname{round}\\\\left(M_{chinstrap},2\\\\right)\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"86\",\n                \"folderId\": \"19\",\n                \"color\": \"#000000\",\n                \"latex\": \"y=M_{chinstrap}\\\\left\\\\{2.6\\\\le x\\\\le3.4\\\\right\\\\}\",\n                \"colorLatex\": \"w_{chinstrap}\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"89\",\n                \"folderId\": \"19\",\n                \"color\": \"#388c46\",\n                \"latex\": \"\\\\left(3.4,M_{chinstrap}\\\\right)\",\n                \"showLabel\": true,\n                \"label\": \"${t_{mc}}\",\n                \"hidden\": true,\n                \"labelOrientation\": \"right\",\n                \"labelSize\": \".8\",\n                \"colorLatex\": \"w_{chinstrap}\",\n                \"pointOpacity\": \".8\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"90\",\n                \"folderId\": \"19\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\left(4.5,M_{semua}\\\\right)\",\n                \"showLabel\": true,\n                \"label\": \"${t_{ms}}\",\n                \"hidden\": true,\n                \"labelOrientation\": \"right\",\n                \"labelSize\": \".8\",\n                \"pointOpacity\": \".8\"\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"52\",\n                \"folderId\": \"19\",\n                \"text\": \"Tik:\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"53\",\n                \"folderId\": \"19\",\n                \"color\": \"#000000\",\n                \"latex\": \"y=h_{dasar}\\\\left\\\\{-0.05\\\\le x<0\\\\right\\\\}\",\n                \"lineWidth\": \"1.5\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"55\",\n                \"folderId\": \"19\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\left(-0.05,h_{dasar}\\\\right)\",\n                \"showLabel\": true,\n                \"label\": \"${h_{dasar}}\",\n                \"hidden\": true,\n                \"labelOrientation\": \"left\",\n                \"labelSize\": \".8\",\n                \"pointOpacity\": \".8\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"59\",\n                \"folderId\": \"19\",\n                \"color\": \"#000000\",\n                \"latex\": \"x=\\\\left[1,2,3\\\\right]\\\\left\\\\{159\\\\le y\\\\le160\\\\right\\\\}\",\n                \"lineWidth\": \"1.5\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"60\",\n                \"folderId\": \"19\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\left(1,159\\\\right)\",\n                \"showLabel\": true,\n                \"label\": \"Adelie\",\n                \"hidden\": true,\n                \"labelOrientation\": \"below\",\n                \"labelSize\": \".8\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"61\",\n                \"folderId\": \"19\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\left(2,159\\\\right)\",\n                \"showLabel\": true,\n                \"label\": \"Gentoo\",\n                \"hidden\": true,\n                \"labelOrientation\": \"below\",\n                \"labelSize\": \".8\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"62\",\n                \"folderId\": \"19\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\left(3,159\\\\right)\",\n                \"showLabel\": true,\n                \"label\": \"Chinstrap\",\n                \"hidden\": true,\n                \"labelOrientation\": \"below\",\n                \"labelSize\": \".8\"\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"49\",\n                \"folderId\": \"19\",\n                \"text\": \"Bingkai:\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"37\",\n                \"folderId\": \"19\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\operatorname{polygon}\\\\left(\\\\left(0,160\\\\right),\\\\left(4,160\\\\right),\\\\left(4,240\\\\right),\\\\left(0,240\\\\right)\\\\right)\",\n                \"fill\": false,\n                \"lines\": true,\n                \"fillOpacity\": \"1\",\n                \"lineWidth\": \"1.5\"\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"126\",\n                \"folderId\": \"19\",\n                \"text\": 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\"folderId\": \"71\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"n_{adelie}=146\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"103\",\n                \"folderId\": \"71\",\n                \"color\": \"#388c46\",\n                \"latex\": \"n_{gentoo}=119\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"104\",\n                \"folderId\": \"71\",\n                \"color\": \"#6042a6\",\n                \"latex\": \"n_{chinstrap}=68\"\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"106\",\n                \"folderId\": \"71\",\n                \"text\": \"Jumlah kuadrat antargrup:\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"107\",\n                \"folderId\": \"71\",\n                \"color\": \"#c74440\",\n                \"latex\": 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\"#388c46\",\n                \"latex\": \"M_{antargrup}=\\\\frac{S_{antargrup}}{d_{f1}}\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"118\",\n                \"folderId\": \"71\",\n                \"color\": \"#6042a6\",\n                \"latex\": \"M_{dalamgrup}=\\\\frac{S_{dalamgrup}}{d_{f2}}\"\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"120\",\n                \"folderId\": \"71\",\n                \"text\": \"Statistik F:\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"121\",\n                \"folderId\": \"71\",\n                \"color\": \"#c74440\",\n                \"latex\": \"F=\\\\frac{M_{antargrup}}{M_{dalamgrup}}\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"122\",\n                \"folderId\": \"71\",\n                \"color\": \"#2d70b3\",\n         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   {\n                \"type\": \"text\",\n                \"id\": \"34\",\n                \"folderId\": \"19\",\n                \"text\": \"Dasar:\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"35\",\n                \"folderId\": \"19\",\n                \"color\": \"#c74440\",\n                \"latex\": \"\\\\operatorname{polygon}\\\\left(\\\\left(0,160\\\\right),\\\\left(4,160\\\\right),\\\\left(4,240\\\\right),\\\\left(0,240\\\\right)\\\\right)\",\n                \"lines\": false,\n                \"colorLatex\": \"w_{putih}\",\n                \"fillOpacity\": \"1\"\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"65\",\n                \"folderId\": \"19\",\n                \"text\": \"Kisi-kisi:\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"66\",\n                \"folderId\": \"19\",\n                \"color\": \"#388c46\",\n                \"latex\": \"y=h_{dasar}\\\\left\\\\{0\\\\le x\\\\le4\\\\right\\\\}\",\n                \"colorLatex\": \"w_{lightgray}\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"67\",\n                \"folderId\": \"19\",\n                \"color\": \"#6042a6\",\n                \"latex\": \"y=\\\\left[165,175...235\\\\right]\\\\left\\\\{0\\\\le x\\\\le4\\\\right\\\\}\",\n                \"colorLatex\": \"w_{lightgray}\",\n                \"lineWidth\": \"1\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"68\",\n                \"folderId\": \"19\",\n                \"color\": \"#000000\",\n                \"latex\": \"x=\\\\left[1,2,3\\\\right]\\\\left\\\\{160\\\\le y\\\\le240\\\\right\\\\}\",\n                \"colorLatex\": \"w_{lightgray}\"\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"40\",\n                \"folderId\": \"19\",\n                \"text\": \"Histogram samping (lebar 10):\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"42\",\n                \"folderId\": \"19\",\n                \"color\": \"#6042a6\",\n                \"latex\": \"H_{hitung}=\\\\left[2,37,112,56,62,49,15\\\\right]\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"43\",\n                \"folderId\": \"19\",\n                \"color\": \"#000000\",\n                \"latex\": \"H_{prop}=\\\\operatorname{round}\\\\left(\\\\frac{H_{hitung}}{\\\\max\\\\left(H_{hitung}\\\\right)}\\\\cdot0.5,3\\\\right)\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"45\",\n                \"folderId\": \"19\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"h_{prop}=4+H_{prop}\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"46\",\n                \"folderId\": \"19\",\n                \"color\": \"#388c46\",\n                \"latex\": \"h_{dasar}=\\\\left[170,180...230\\\\right]\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"47\",\n                \"folderId\": \"19\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\operatorname{polygon}\\\\left(\\\\left(4,h_{dasar}-5\\\\right),\\\\left(h_{prop},h_{dasar}-5\\\\right),\\\\left(h_{prop},h_{dasar}+5\\\\right),\\\\left(4,h_{dasar}+5\\\\right)\\\\right)\",\n                \"lines\": true,\n                \"fillOpacity\": \".1\",\n                \"lineWidth\": \"1.5\"\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"32\",\n                \"folderId\": \"19\",\n                \"text\": \"Titik-titik data:\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"20\",\n                \"folderId\": \"19\",\n                \"color\": \"#000000\",\n                \"latex\": \"j_{itter}=\\\\operatorname{round}\\\\left(-\\\\frac{1}{4}+\\\\frac{1}{2}\\\\cdot\\\\operatorname{random}\\\\left(\\\\operatorname{length}\\\\left(s_{ayap}\\\\right)\\\\right),2\\\\right)\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"149\",\n                \"folderId\": \"19\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"j_{itterAwal}=\\\\operatorname{round}\\\\left(\\\\frac{1}{2}+\\\\operatorname{random}\\\\left(\\\\operatorname{length}\\\\left(s_{ayap}\\\\right)\\\\right)\\\\cdot3,2\\\\right)\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"21\",\n                \"folderId\": \"19\",\n                \"color\": \"#c74440\",\n                \"latex\": \"A_{delie}=\\\\left(j_{itterAwal},s_{ayap}\\\\right)\\\\left[1...146\\\\right]\\\\left\\\\{n_{klik}=0\\\\right\\\\}\",\n                \"colorLatex\": \"w_{adelie}\",\n                \"pointOpacity\": \".5\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"146\",\n                \"folderId\": \"19\",\n                \"color\": \"#c74440\",\n                \"latex\": \"A_{delie}=\\\\left(x_{2}+j_{itter},s_{ayap}\\\\right)\\\\left[1...146\\\\right]\\\\left\\\\{n_{klik}\\\\ge1\\\\right\\\\}\",\n                \"colorLatex\": \"w_{adelie}\",\n                \"pointOpacity\": \".5\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"27\",\n                \"folderId\": \"19\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"G_{entoo}=\\\\left(j_{itterAwal},s_{ayap}\\\\right)\\\\left[147...265\\\\right]\\\\left\\\\{n_{klik}=0\\\\right\\\\}\",\n                \"colorLatex\": \"w_{gentoo}\",\n                \"pointOpacity\": \".5\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"147\",\n                \"folderId\": \"19\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"G_{entoo}=\\\\left(x_{2}+j_{itter},s_{ayap}\\\\right)\\\\left[147...265\\\\right]\\\\left\\\\{n_{klik}\\\\ge1\\\\right\\\\}\",\n                \"colorLatex\": \"w_{gentoo}\",\n                \"pointOpacity\": \".5\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"28\",\n                \"folderId\": \"19\",\n                \"color\": \"#388c46\",\n                \"latex\": \"C_{hinstrap}=\\\\left(j_{itterAwal},s_{ayap}\\\\right)\\\\left[266...333\\\\right]\\\\left\\\\{n_{klik}=0\\\\right\\\\}\",\n                \"colorLatex\": \"w_{chinstrap}\",\n                \"pointOpacity\": \".5\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"148\",\n                \"folderId\": \"19\",\n                \"color\": \"#388c46\",\n                \"latex\": \"C_{hinstrap}=\\\\left(x_{2}+j_{itter},s_{ayap}\\\\right)\\\\left[266...333\\\\right]\\\\left\\\\{n_{klik}\\\\ge1\\\\right\\\\}\",\n                \"colorLatex\": \"w_{chinstrap}\",\n                \"pointOpacity\": \".5\"\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"78\",\n                \"folderId\": \"19\",\n                \"text\": \"Statistik-statistik\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"79\",\n                \"folderId\": \"19\",\n                \"color\": \"#388c46\",\n                \"latex\": \"M_{semua}=\\\\operatorname{mean}\\\\left(s_{ayap}\\\\right)\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"119\",\n                \"folderId\": \"19\",\n                \"color\": \"#000000\",\n                \"latex\": \"t_{ms}=\\\\operatorname{round}\\\\left(M_{semua},2\\\\right)\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"83\",\n                \"folderId\": \"19\",\n                \"color\": \"#000000\",\n                \"latex\": \"y=M_{semua}\\\\left\\\\{4\\\\le x\\\\le4.5\\\\right\\\\}\",\n                \"lineStyle\": \"DASHED\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"80\",\n                \"folderId\": \"19\",\n                \"color\": \"#6042a6\",\n                \"latex\": \"M_{adelie}=\\\\operatorname{mean}\\\\left(s_{ayap}\\\\left[x_{a}\\\\right]\\\\right)\\\\left\\\\{n_{klik}\\\\ge1\\\\right\\\\}\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"120\",\n                \"folderId\": \"19\",\n                \"color\": 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           \"folderId\": \"19\",\n                \"color\": \"#000000\",\n                \"latex\": \"M_{gentoo}=\\\\operatorname{mean}\\\\left(s_{ayap}\\\\left[x_{g}\\\\right]\\\\right)\\\\left\\\\{n_{klik}\\\\ge1\\\\right\\\\}\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"121\",\n                \"folderId\": \"19\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"t_{mg}=\\\\operatorname{round}\\\\left(M_{gentoo},2\\\\right)\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"85\",\n                \"folderId\": \"19\",\n                \"color\": \"#000000\",\n                \"latex\": \"y=M_{gentoo}\\\\left\\\\{1.6\\\\le x\\\\le2.4\\\\right\\\\}\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"88\",\n                \"folderId\": \"19\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\left(2.4,M_{gentoo}\\\\right)\",\n                \"showLabel\": true,\n                \"label\": \"${t_{mg}}\",\n                \"hidden\": true,\n                \"labelOrientation\": \"right\",\n                \"labelSize\": \".8\",\n                \"pointOpacity\": \".8\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"82\",\n                \"folderId\": \"19\",\n                \"color\": \"#c74440\",\n                \"latex\": \"M_{chinstrap}=\\\\operatorname{mean}\\\\left(s_{ayap}\\\\left[x_{c}\\\\right]\\\\right)\\\\left\\\\{n_{klik}\\\\ge1\\\\right\\\\}\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"122\",\n                \"folderId\": \"19\",\n                \"color\": \"#388c46\",\n                \"latex\": \"t_{mc}=\\\\operatorname{round}\\\\left(M_{chinstrap},2\\\\right)\"\n            },\n            {\n                \"type\": 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\"showLabel\": true,\n                \"label\": \"${t_{ms}}\",\n                \"hidden\": true,\n                \"labelOrientation\": \"right\",\n                \"labelSize\": \".8\",\n                \"pointOpacity\": \".8\"\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"52\",\n                \"folderId\": \"19\",\n                \"text\": \"Tik:\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"53\",\n                \"folderId\": \"19\",\n                \"color\": \"#000000\",\n                \"latex\": \"y=h_{dasar}\\\\left\\\\{-0.05\\\\le x<0\\\\right\\\\}\",\n                \"lineWidth\": \"1.5\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"55\",\n                \"folderId\": \"19\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\left(-0.05,h_{dasar}\\\\right)\",\n                \"showLabel\": true,\n                \"label\": \"${h_{dasar}}\",\n                \"hidden\": true,\n                \"labelOrientation\": \"left\",\n                \"labelSize\": \".8\",\n                \"pointOpacity\": \".8\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"59\",\n                \"folderId\": \"19\",\n                \"color\": \"#000000\",\n                \"latex\": \"x=\\\\left[1,2,3\\\\right]\\\\left\\\\{159\\\\le y\\\\le160\\\\right\\\\}\",\n                \"lineWidth\": \"1.5\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"60\",\n                \"folderId\": \"19\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\left(1,159\\\\right)\",\n                \"showLabel\": true,\n                \"label\": \"Adelie\",\n                \"hidden\": true,\n                \"labelOrientation\": \"below\",\n                \"labelSize\": \".8\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"61\",\n                \"folderId\": \"19\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\left(2,159\\\\right)\",\n                \"showLabel\": true,\n                \"label\": \"Gentoo\",\n                \"hidden\": true,\n                \"labelOrientation\": \"below\",\n                \"labelSize\": \".8\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"62\",\n                \"folderId\": \"19\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\left(3,159\\\\right)\",\n                \"showLabel\": true,\n                \"label\": \"Chinstrap\",\n                \"hidden\": true,\n                \"labelOrientation\": \"below\",\n                \"labelSize\": \".8\"\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"49\",\n                \"folderId\": \"19\",\n                \"text\": \"Bingkai:\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"37\",\n                \"folderId\": \"19\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\operatorname{polygon}\\\\left(\\\\left(0,160\\\\right),\\\\left(4,160\\\\right),\\\\left(4,240\\\\right),\\\\left(0,240\\\\right)\\\\right)\",\n                \"fill\": false,\n                \"lines\": true,\n                \"fillOpacity\": \"1\",\n                \"lineWidth\": \"1.5\"\n            },\n            {\n                \"type\": \"folder\",\n                \"id\": \"71\",\n                \"title\": \"Visualisasi F\",\n                \"collapsed\": true\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"124\",\n                \"folderId\": \"71\",\n                \"text\": \"Ukuran grup:\"\n            },\n 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      {\n                \"type\": \"text\",\n                \"id\": \"115\",\n                \"folderId\": \"71\",\n                \"text\": \"Visualisasi:\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"72\",\n                \"folderId\": \"71\",\n                \"color\": \"#000000\",\n                \"latex\": \"y=150\\\\left\\\\{0\\\\le x\\\\le4\\\\right\\\\}\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"73\",\n                \"folderId\": \"71\",\n                \"color\": \"#000000\",\n                \"latex\": \"x=\\\\left[0,\\\\frac{2}{3}...6\\\\cdot\\\\frac{2}{3}\\\\right]\\\\left\\\\{149\\\\le y\\\\le150\\\\right\\\\}\",\n                \"lineWidth\": \"1.5\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"74\",\n                \"folderId\": \"71\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\left(\\\\left[0,\\\\frac{2}{3}...6\\\\cdot\\\\frac{2}{3}\\\\right],149\\\\right)\",\n                \"showLabel\": true,\n                \"label\": \"${F_{label}}\",\n                \"hidden\": true,\n                \"labelOrientation\": \"below\",\n                \"labelSize\": \".8\",\n                \"pointOpacity\": \".8\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"75\",\n                \"folderId\": \"71\",\n                \"color\": \"#c74440\",\n                \"latex\": \"F_{label}=\\\\left[0,100...600\\\\right]\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"144\",\n                \"folderId\": \"71\",\n                \"color\": \"#c74440\",\n                \"latex\": \"\\\\left(\\\\frac{F}{100}\\\\cdot\\\\frac{2}{3},150\\\\right)\",\n                \"showLabel\": true,\n                \"label\": \"`F=${t_{F}}`\",\n                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var value = statHF.listValue;\n\tcalculator3.setExpression({ id: '2', latex: `H_{F}=[${value.join(',')}]` });\n  });\n\n<\/script>\n<\/div><\/div>\n\n\n\n<p>Berdasarkan distribusi <em>F<\/em> tersebut, apakah perbedaan panjang sirip yang tampak pada data di <a href=\"#calculator1\">Visualisasi 1<\/a> (<em>F<\/em> \u2248 567,41) dapat dijelaskan oleh kebetulan semata? Ataukah ada kesimpulan alternatif yang lebih masuk akal?<\/p>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<div style=\"height:100px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-group is-style-twentytwentyone-border\"><div class=\"wp-block-group__inner-container\">\n<div class=\"related-topics\">\n  <h3>Jelajahi topik-topik terkait<\/h3>\n  <p>Temukan konten-konten terkait lainnya dalam situs web ini.<\/p>\n  <ul class=\"topics-list\">\n    <li><a href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/?s=Matematika\">Matematika<\/a><\/li>\n    <li><a href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/?s=Statistika\">Statistika<\/a><\/li>\n    <li><a href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/?s=Uji+Hipotesis\">Uji Hipotesis<\/a><\/li>\n    <li><a href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/?s=ANOVA\">ANOVA<\/a><\/li>\n\t<li><a href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/?s=Visualisasi+Data\">Visualisasi Data<\/a><\/li>\n    <li><a href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/?s=Sumber+Belajar+Interaktif\">Sumber Belajar Interaktif<\/a><\/li>\n  <\/ul>\n<\/div>\n<\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Tiga spesies penguin, yaitu Adelie, Gentoo, dan Chinstrap, memiliki panjang sirip yang berbeda-beda. Namun, apakah perbedaan yang terlihat pada data benar-benar berkaitan dengan spesiesnya, atau dapat muncul secara kebetulan? Pada simulasi interaktif ini, kamu akan menjawab pertanyaan tersebut sekaligus menemukan ide di balik ANOVA. Apakah Perbedaannya Hanya Kebetulan? Mari mengandaikan bahwa spesies memang tak berpengaruh&hellip; <a class=\"more-link\" href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/media-pengajaran\/menemukan-ide-di-balik-anova\/\">Continue reading <span class=\"screen-reader-text\">Menemukan Ide di Balik ANOVA<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":1849,"parent":882,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Menemukan Ide di Balik ANOVA<\/title>\n<meta name=\"description\" content=\"Pelajari ide di balik ANOVA melalui simulasi interaktif yang menunjukkan bagaimana statistik F membantu menilai perbedaan antar kelompok.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" 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