{"id":773,"date":"2023-07-28T19:45:12","date_gmt":"2023-07-28T19:45:12","guid":{"rendered":"https:\/\/statorials.org\/id\/one-way-anova-ala-main\/"},"modified":"2023-07-28T19:45:12","modified_gmt":"2023-07-28T19:45:12","slug":"one-way-anova-ala-main","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/one-way-anova-ala-main\/","title":{"rendered":"Cara melakukan anova satu arah secara manual"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/id\/anova-satu-arah\/\" target=\"_blank\" rel=\"noopener\">ANOVA satu arah<\/a> (\u201canalisis varians\u201d) membandingkan rata-rata dari tiga atau lebih kelompok independen untuk menentukan apakah terdapat perbedaan yang signifikan secara statistik antara rata-rata populasi yang bersangkutan.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Tutorial ini menjelaskan cara melakukan ANOVA satu arah secara manual.<\/span><\/p>\n<h3> <strong><span style=\"color: #000000;\">Contoh: ANOVA satu arah manual<\/span><\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Misalkan kita ingin mengetahui apakah tiga program persiapan ujian yang berbeda menghasilkan nilai rata-rata yang berbeda pada ujian tertentu. Untuk mengujinya, kami merekrut 30 siswa untuk berpartisipasi dalam penelitian dan membagi mereka menjadi tiga kelompok.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Siswa di setiap kelompok secara acak ditugaskan untuk menggunakan salah satu dari tiga program persiapan ujian selama tiga minggu berikutnya untuk mempersiapkan ujian. Pada akhir tiga minggu, semua siswa mengikuti ujian yang sama.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Hasil ujian masing-masing kelompok ditunjukkan di bawah ini:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-8258 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/aller-simple2.png\" sizes=\"\" srcset=\"\" alt=\"Contoh data ANOVA satu arah\" width=\"237\" height=\"246\"><\/p>\n<p> <span style=\"color: #000000;\">Ikuti langkah-langkah berikut untuk melakukan ANOVA satu arah secara manual untuk menentukan apakah nilai ujian rata-rata berbeda antara ketiga kelompok:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Langkah 1: Hitung rata-rata kelompok dan rata-rata keseluruhan.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Pertama, kita akan menghitung rata-rata ketiga kelompok serta rata-rata keseluruhan:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-8434 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/anovamain1-1.png\" alt=\"\" width=\"300\" height=\"257\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Langkah 2: Hitung SSR.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Selanjutnya kita akan menghitung jumlah regresi kuadrat (SSR) dengan menggunakan rumus sebagai berikut:<\/span><\/p>\n<p> <span style=\"color: #000000;\">n\u03a3(X <sub>j<\/sub> \u2013 <span style=\"text-decoration: overline;\">X<\/span> ..) <sup>2<\/sup><\/span><\/p>\n<p> <span style=\"color: #000000;\">Emas:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>n<\/strong> : ukuran sampel kelompok j<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u03a3<\/strong> : simbol Yunani yang berarti \u201cjumlah\u201d<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>X <sub>j<\/sub><\/strong> : rata-rata kelompok j<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong><span style=\"text-decoration: overline;\">X<\/span> ..<\/strong> : rata-rata keseluruhan<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Dalam contoh kita, kita menghitung SSR = 10(83.4-85.8) <sup>2<\/sup> + 10(89.3-85.8) <sup>2<\/sup> + 10(84.7-85.8) <sup>2<\/sup> = <strong>192.2<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Langkah 3: Hitung SES.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Selanjutnya kita akan menghitung jumlah error kuadrat (SSE) dengan menggunakan rumus berikut:<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u03a3(X <sub>ij<\/sub> \u2013 <span style=\"text-decoration: overline;\">Xj<\/span> <sup>)<\/sup> <sub>2<\/sub><\/span><\/p>\n<p> <span style=\"color: #000000;\">Emas:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u03a3<\/strong> : simbol Yunani yang berarti \u201cjumlah\u201d<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>X <sub>ij<\/sub><\/strong> : observasi <sup>ke-i<\/sup> kelompok j<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong><span style=\"text-decoration: overline;\">X<\/span> <sub>j<\/sub><\/strong> : rata-rata kelompok j<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Dalam contoh kami, kami menghitung SSE sebagai berikut:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Grup 1:<\/strong> (85-83.4) <sup>2<\/sup> + (86-83.4) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (88-83.4) <sup>2+<\/sup> <strong>&nbsp;<\/strong> (75-83.4) <sup>2+<\/sup> <strong>&nbsp;<\/strong> (78-83.4) <sup>2+<\/sup> <strong>&nbsp;<\/strong> (94-83.4) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (98-83.4) <sup>2+<\/sup> <strong>&nbsp;<\/strong> (79-83.4) <sup>2+<\/sup> <strong>&nbsp;<\/strong> (71-83.4) <sup>2+<\/sup> <strong>&nbsp;<\/strong> (80-83.4) <sup>2<\/sup> = <strong>640.4<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Grup 2:<\/strong> (91-89.3) <sup>2<\/sup> + (92-89.3) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (93-89.3) <sup>2+<\/sup> <strong>&nbsp;<\/strong> (85-89.3) <sup>2+<\/sup> <strong>&nbsp;<\/strong> (87-89.3) <sup>2+<\/sup> <strong>&nbsp;<\/strong> (84-89.3) <sup>2+<\/sup> <strong>&nbsp;<\/strong> (82-89.3) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (88-89.3) <sup>2+<\/sup> <strong>&nbsp;<\/strong> (95-89.3) <sup>2+<\/sup> <strong>&nbsp;<\/strong> (96-89.3) <sup>2<\/sup> = <strong>208.1<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Grup 3:<\/strong> (79-84.7) <sup>2<\/sup> + (78-84.7) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (88-84.7) <sup>2+<\/sup> <strong>&nbsp;<\/strong> (94-84.7) <sup>2+<\/sup> <strong>&nbsp;<\/strong> (92-84.7) <sup>2+<\/sup> <strong>&nbsp;<\/strong> (85-84.7) <sup>2+<\/sup> <strong>&nbsp;<\/strong> (83-84.7) <sup>2+<\/sup> <strong>&nbsp;<\/strong> (85-84.7) <sup>2+<\/sup> <strong>&nbsp;<\/strong> (82-84.7) <sup>2+<\/sup> <strong>&nbsp;<\/strong> (81-84.7) <sup>2<\/sup> = <strong>252.1<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>ESS:<\/strong> 640,4 + 208,1 + 252,1 = <strong>1.100,6<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Langkah 4: Hitung SST.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Selanjutnya kita akan menghitung jumlah kuadrat total (SST) dengan menggunakan rumus berikut:<\/span><\/p>\n<p> <span style=\"color: #000000;\">SST = SSR + SSE<\/span><\/p>\n<p> <span style=\"color: #000000;\">Dalam contoh kita, SST = 192,2 + 1100,6 = <strong>1292,8<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Langkah 5: Lengkapi tabel ANOVA.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Sekarang kita memiliki SSR, SSE dan SST, kita dapat mengisi tabel ANOVA:<\/span><\/p>\n<table>\n<tbody>\n<tr>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>Sumber<\/strong><\/span><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">Jumlah kuadrat (SS)<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">df<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">Kuadrat rata-rata (MS)<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">F<\/span><\/strong><\/th>\n<\/tr>\n<tr>\n<td> <span style=\"color: #000000;\"><strong>Perlakuan<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">192.2<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">2<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">96.1<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">2.358<\/span><\/td>\n<\/tr>\n<tr>\n<td> <span style=\"color: #000000;\"><strong>Kesalahan<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">1100.6<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">27<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">40.8<\/span><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td> <span style=\"color: #000000;\"><strong>Total<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">1292.8<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">29<\/span><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p> <span style=\"color: #000000;\">Inilah cara kami menghitung angka-angka berbeda dalam tabel:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>perlakuan df :<\/strong> k-1 = 3-1 = 2<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>kesalahan df:<\/strong> nk = 30-3 = 27<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>jumlah df:<\/strong> n-1 = 30-1 = 29<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Perlakuan SEP :<\/strong> Perlakuan SST \/ df = 192,2 \/ 2 = 96,1<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Kesalahan MS:<\/strong> Kesalahan SSE \/ df = 1100.6 \/ 27 = 40.8<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>F:<\/strong> Pemrosesan MS \/ Kesalahan MS = 96.1 \/ 40.8 = 2.358<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><em><strong>Catatan:<\/strong> n = jumlah observasi, k = jumlah kelompok<\/em><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Langkah 6: Interpretasikan hasilnya.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Statistik uji F untuk ANOVA satu arah ini adalah <strong>2,358<\/strong> . Untuk menentukan apakah hasil ini signifikan secara statistik, kita perlu membandingkannya dengan nilai F kritis yang terdapat pada <a href=\"https:\/\/statorials.org\/id\/f-tabel-distribusi\/\" target=\"_blank\" rel=\"noopener\">tabel distribusi F<\/a> dengan nilai berikut:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u03b1 (tingkat signifikansi) = 0,05<\/span><\/li>\n<li> <span style=\"color: #000000;\">DF1 (derajat kebebasan pembilangnya) = df perlakuan = 2<\/span><\/li>\n<li> <span style=\"color: #000000;\">DF2 (derajat kebebasan penyebut) = error df = 27<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Kami menemukan bahwa nilai kritis F adalah <strong>3,3541<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Karena statistik uji F pada tabel ANOVA lebih kecil dari nilai kritis F pada tabel distribusi F, kami gagal menolak hipotesis nol. Artinya, kami tidak memiliki cukup bukti untuk mengatakan bahwa terdapat perbedaan yang signifikan secara statistik antara rata-rata nilai ujian ketiga kelompok.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Sumber Daya Bonus:<\/strong> Gunakan <a href=\"https:\/\/statorials.org\/id\/kalkulator-danova-satu-arah\/\" target=\"_blank\" rel=\"noopener\">kalkulator ANOVA satu arah<\/a> ini untuk secara otomatis melakukan ANOVA satu arah hingga lima sampel.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>ANOVA satu arah (\u201canalisis varians\u201d) membandingkan rata-rata dari tiga atau lebih kelompok independen untuk menentukan apakah terdapat perbedaan yang signifikan secara statistik antara rata-rata populasi yang bersangkutan. Tutorial ini menjelaskan cara melakukan ANOVA satu arah secara manual. Contoh: ANOVA satu arah manual Misalkan kita ingin mengetahui apakah tiga program persiapan ujian yang berbeda menghasilkan nilai [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Cara Melakukan ANOVA Satu Arah dengan Tangan - Statorials<\/title>\n<meta name=\"description\" content=\"Penjelasan sederhana tentang cara melakukan ANOVA satu arah secara manual.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/id\/one-way-anova-ala-main\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Cara Melakukan ANOVA Satu Arah dengan Tangan - Statorials\" \/>\n<meta property=\"og:description\" content=\"Penjelasan sederhana tentang cara melakukan ANOVA satu arah secara manual.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/one-way-anova-ala-main\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-28T19:45:12+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/aller-simple2.png\" \/>\n<meta name=\"author\" content=\"Benjamin anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Ditulis oleh\" \/>\n\t<meta name=\"twitter:data1\" content=\"Benjamin anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Estimasi waktu membaca\" \/>\n\t<meta name=\"twitter:data2\" content=\"3 menit\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/id\/one-way-anova-ala-main\/\",\"url\":\"https:\/\/statorials.org\/id\/one-way-anova-ala-main\/\",\"name\":\"Cara Melakukan ANOVA Satu Arah dengan Tangan - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-07-28T19:45:12+00:00\",\"dateModified\":\"2023-07-28T19:45:12+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Penjelasan sederhana tentang cara melakukan ANOVA satu arah secara manual.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/one-way-anova-ala-main\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/one-way-anova-ala-main\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/one-way-anova-ala-main\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Cara melakukan anova satu arah secara manual\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/id\/#website\",\"url\":\"https:\/\/statorials.org\/id\/\",\"name\":\"Statorials\",\"description\":\"Panduan anda untuk kompetensi statistik!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/id\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"id\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\",\"name\":\"Benjamin anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"id\",\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/image\/\",\"url\":\"http:\/\/statorials.org\/id\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"http:\/\/statorials.org\/id\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Benjamin anderson\"},\"description\":\"Halo, saya Benjamin, pensiunan profesor statistika yang menjadi guru Statorial yang berdedikasi. 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