{"id":1387,"date":"2023-07-26T14:31:40","date_gmt":"2023-07-26T14:31:40","guid":{"rendered":"https:\/\/statorials.org\/id\/uji-cochrans-q\/"},"modified":"2023-07-26T14:31:40","modified_gmt":"2023-07-26T14:31:40","slug":"uji-cochrans-q","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/uji-cochrans-q\/","title":{"rendered":"Apa tes q cochran? (definisi &amp; #038; contoh)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Uji Cochran&#8217;s Q<\/strong> merupakan uji statistik yang digunakan untuk menentukan apakah proporsi \u201ckeberhasilan\u201d sama pada tiga kelompok atau lebih di mana muncul individu yang sama pada setiap kelompok.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Misalnya, kita dapat menggunakan tes Cochran&#8217;s Q untuk menentukan apakah proporsi siswa yang lulus suatu tes sama ketika menggunakan tiga teknik belajar yang berbeda.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13782 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/cochranq2.png\" alt=\"\" width=\"313\" height=\"449\" srcset=\"\" sizes=\"\"><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Langkah-langkah Melakukan Tes Q Cochran<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Uji Q Cochran menggunakan hipotesis nol dan hipotesis alternatif berikut:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Hipotesis nol (H <sub>0<\/sub> ):<\/strong> Proporsi \u201ckeberhasilan\u201d adalah sama di semua kelompok<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Hipotesis alternatif ( <sub>HA<\/sub> ):<\/strong> Proporsi \u201ckeberhasilan\u201d berbeda pada setidaknya satu kelompok<\/span><\/p>\n<p> <span style=\"color: #000000;\">Statistik uji dihitung sebagai berikut:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13781 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/cochranq.png\" alt=\"\" width=\"235\" height=\"105\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Emas:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>k :<\/strong> Jumlah perlakuan (atau \u201ckelompok\u201d)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Xj :<\/strong> jumlah kolom perlakuan <sup>ke-j<\/sup><\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>b:<\/strong> Jumlah blok<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Xi. :<\/strong> Total baris untuk blok <sup>ke-i<\/sup><\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>N:<\/strong> Total keseluruhan<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Statistik uji <em>T<\/em> mengikuti distribusi Chi-kuadrat dengan derajat kebebasan <em>k-1<\/em> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Jika <a href=\"https:\/\/statorials.org\/id\/p-menghargai-signifikansi-statistik\/\" target=\"_blank\" rel=\"noopener\">nilai p<\/a> yang terkait dengan statistik uji berada di bawah tingkat signifikansi tertentu (seperti \u03b1 = 0,05), kita dapat menolak hipotesis nol dan menyimpulkan bahwa kita memiliki cukup bukti untuk mengatakan bahwa proporsi &#8220;keberhasilan&#8221; berbeda dalam setidaknya salah satu kelompok.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Contoh : Uji Q Cochran<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Misalkan seorang peneliti ingin mengetahui apakah tiga teknik belajar yang berbeda menghasilkan proporsi tingkat keberhasilan yang berbeda di kalangan siswa.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Untuk mengujinya, ia merekrut 20 siswa yang masing-masing mengikuti ujian dengan tingkat kesulitan yang sama menggunakan tiga teknik belajar yang berbeda. Hasilnya ditunjukkan di bawah ini:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13782 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/cochranq2.png\" alt=\"\" width=\"313\" height=\"449\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Untuk melakukan uji Cochran&#8217;s Q, kita dapat menggunakan perangkat lunak statistik karena akan membosankan jika dilakukan secara manual.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Berikut adalah kode yang dapat kita gunakan untuk membuat dataset ini dan melakukan uji Cochran&#8217;s Q dalam bahasa pemrograman statistik R:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#load DescTools package<\/span>\n<span style=\"color: #993300;\">library<\/span> (DescTools)\n\n<span style=\"color: #008080;\">#create dataset<\/span>\ndf &lt;- data.frame(student= <span style=\"color: #3366ff;\">rep<\/span> (1:20, <span style=\"color: #3366ff;\">each<\/span> = <span style=\"color: #008000;\">3<\/span> ),\n                 technique= <span style=\"color: #3366ff;\">rep<\/span> (c('A', 'B', 'C'), times= <span style=\"color: #008000;\">20<\/span> ),\n                 outcome=c(1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1,\n                           1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1,\n                           1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1,\n                           1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1))\n\n<span style=\"color: #008080;\">#perform Cochran's Q test<\/span>\nCochranQTest(outcome ~ technique| student, data=df)\n\n\tCochran's Q test\n\ndata: outcome and technique and student\nQ = 0.33333, df = 2, p-value = 0.8465<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Dari hasil pengujian kita dapat mengamati hal-hal berikut:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Statistik ujinya adalah <strong>0,333<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">Nilai p yang sesuai adalah <strong>0,8465<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Karena nilai p ini tidak kurang dari 0,05, kita gagal menolak hipotesis nol.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ini berarti bahwa kita tidak memiliki cukup bukti untuk mengatakan bahwa teknik belajar yang digunakan oleh siswa menghasilkan proporsi tingkat keberhasilan yang berbeda-beda.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Uji Cochran&#8217;s Q merupakan uji statistik yang digunakan untuk menentukan apakah proporsi \u201ckeberhasilan\u201d sama pada tiga kelompok atau lebih di mana muncul individu yang sama pada setiap kelompok. Misalnya, kita dapat menggunakan tes Cochran&#8217;s Q untuk menentukan apakah proporsi siswa yang lulus suatu tes sama ketika menggunakan tiga teknik belajar yang berbeda. Langkah-langkah Melakukan Tes [&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>Apa tes Q Cochran? 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