{"id":2602,"date":"2023-07-21T13:32:57","date_gmt":"2023-07-21T13:32:57","guid":{"rendered":"https:\/\/statorials.org\/id\/transformasi-nelayan-z\/"},"modified":"2023-07-21T13:32:57","modified_gmt":"2023-07-21T13:32:57","slug":"transformasi-nelayan-z","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/transformasi-nelayan-z\/","title":{"rendered":"Transformasi fisher z: definisi &amp; contoh"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Transformasi Fisher Z<\/strong> merupakan rumus yang dapat kita gunakan untuk mengubah koefisien korelasi Pearson (r) menjadi nilai (z <sub>r<\/sub> ) yang dapat digunakan untuk menghitung interval kepercayaan koefisien korelasi Pearson.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Rumusnya adalah sebagai berikut:<\/span><\/p>\n<p> <span style=\"color: #000000;\">z <sub>r<\/sub> = ln((1+r) \/ (1-r)) \/ 2<\/span><\/p>\n<p> <span style=\"color: #000000;\">Misalnya, jika koefisien korelasi Pearson antara dua variabel ternyata <strong>r<\/strong> = 0,55, maka kita menghitung <strong><sub>zr<\/sub><\/strong> sebagai:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">z <sub>r<\/sub> = ln((1+r) \/ (1-r)) \/ 2<\/span><\/li>\n<li> <span style=\"color: #000000;\">z <sub>r<\/sub> = ln((1+.55) \/ (1-.55)) \/ 2<\/span><\/li>\n<li> <span style=\"color: #000000;\">z <sub>r<\/sub> = 0,618<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Ternyata<a href=\"https:\/\/statorials.org\/id\/distribusi-pengambilan-sampel-1\/\" target=\"_blank\" rel=\"noopener\">distribusi sampling<\/a> variabel yang ditransformasikan ini mengikuti distribusi normal .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Hal ini penting karena memungkinkan kita menghitung interval kepercayaan untuk koefisien korelasi Pearson.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Tanpa melakukan transformasi Fisher Z ini, kita tidak akan dapat menghitung interval kepercayaan yang dapat diandalkan untuk koefisien korelasi Pearson.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Contoh berikut menunjukkan cara menghitung interval kepercayaan untuk koefisien korelasi Pearson dalam praktiknya.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Contoh: Menghitung selang kepercayaan untuk koefisien korelasi<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Misalkan kita ingin memperkirakan koefisien korelasi antara tinggi dan berat badan penduduk suatu daerah tertentu. Kami memilih sampel acak sebanyak 60 penduduk dan menemukan informasi berikut:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Ukuran sampel <strong>n = 60<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">Koefisien korelasi tinggi badan dan berat badan <strong>r = 0,56<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Berikut cara mencari selang kepercayaan 95% untuk koefisien korelasi populasi:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Langkah 1: Lakukan Transformasi Fisher.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Misalkan z <sub>r<\/sub> = ln((1+r) \/ (1-r)) \/ 2 = ln((1+.56) \/ (1-.56)) \/ 2 = <strong>0.6328<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Langkah 2: Temukan batas atas dan bawah log.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Misal L = z <sub>r<\/sub> \u2013 (z <sub>1-\u03b1\/2<\/sub> \/\u221a <span style=\"border-top: 1px solid black;\">n-3<\/span> ) = 0,6328 \u2013 (1,96 \/\u221a <span style=\"border-top: 1px solid black;\">60-3<\/span> ) = <strong>0,373<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Misalkan U = z <sub>r<\/sub> + (z <sub>1-\u03b1\/2<\/sub> \/\u221a <span style=\"border-top: 1px solid black;\">n-3<\/span> ) = 0,6328 + (1,96 \/\u221a <span style=\"border-top: 1px solid black;\">60-3<\/span> ) = <strong>0,892<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Langkah 3: Temukan interval kepercayaan.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Interval kepercayaan = [(e <sup>2L<\/sup> -1)\/(e <sup>2L<\/sup> +1), (e <sup>2U<\/sup> -1)\/(e <sup>2U<\/sup> +1)]<\/span><\/p>\n<p> <span style=\"color: #000000;\">Interval kepercayaan = [(e <sup>2(.373)<\/sup> -1)\/(e <sup>2(.373)<\/sup> +1), (e <sup>2(.892)<\/sup> -1)\/(e <sup>2(.892)<\/sup> +1)] = <strong>[ .3568, .7126]<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Catatan:<\/strong> Anda juga dapat menemukan interval kepercayaan ini menggunakan <a href=\"https:\/\/statorials.org\/id\/kalkulator-koefisien-korelasi-interval-kepercayaan\/\" target=\"_blank\" rel=\"noopener\">Interval Keyakinan untuk Kalkulator Koefisien Korelasi<\/a> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Interval ini memberi kita rentang nilai yang kemungkinan besar mengandung koefisien korelasi Pearson yang sebenarnya antara berat badan dan ukuran populasi dengan tingkat kepercayaan yang tinggi.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Perhatikan pentingnya transformasi Fisher Z: ini adalah langkah pertama yang perlu kita lakukan sebelum kita benar-benar dapat menghitung interval kepercayaan.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Sumber daya tambahan<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/id\/koefisien-korelasi-pearson-1\/\" target=\"_blank\" rel=\"noopener\">Pengantar Koefisien Korelasi Pearson<\/a><br \/> <a href=\"https:\/\/statorials.org\/id\/hipotesis-korelasi-pearson\/\" target=\"_blank\" rel=\"noopener\">Lima hipotesis korelasi Pearson<\/a><br \/> <a href=\"https:\/\/statorials.org\/id\/koefisien-korelasi-dengan-tangan\/\" target=\"_blank\" rel=\"noopener\">Cara Menghitung Koefisien Korelasi Pearson Secara Manual<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Transformasi Fisher Z merupakan rumus yang dapat kita gunakan untuk mengubah koefisien korelasi Pearson (r) menjadi nilai (z r ) yang dapat digunakan untuk menghitung interval kepercayaan koefisien korelasi Pearson. Rumusnya adalah sebagai berikut: z r = ln((1+r) \/ (1-r)) \/ 2 Misalnya, jika koefisien korelasi Pearson antara dua variabel ternyata r = 0,55, maka [&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>Transformasi Fisher Z: definisi dan contoh - Statologi<\/title>\n<meta name=\"description\" content=\"Tutorial ini memberikan penjelasan tentang transformasi Fisher Z, termasuk definisi formal dan contohnya.\" \/>\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\/transformasi-nelayan-z\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Transformasi Fisher Z: definisi dan contoh - Statologi\" \/>\n<meta property=\"og:description\" content=\"Tutorial ini memberikan penjelasan tentang transformasi Fisher Z, termasuk definisi formal dan contohnya.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/transformasi-nelayan-z\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-21T13:32:57+00:00\" \/>\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=\"2 menit\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/id\/transformasi-nelayan-z\/\",\"url\":\"https:\/\/statorials.org\/id\/transformasi-nelayan-z\/\",\"name\":\"Transformasi Fisher Z: definisi dan contoh - Statologi\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-07-21T13:32:57+00:00\",\"dateModified\":\"2023-07-21T13:32:57+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Tutorial ini memberikan penjelasan tentang transformasi Fisher Z, termasuk definisi formal dan contohnya.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/transformasi-nelayan-z\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/transformasi-nelayan-z\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/transformasi-nelayan-z\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Transformasi fisher z: definisi &amp; contoh\"}]},{\"@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. Dengan pengalaman dan keahlian yang luas di bidang statistika, saya ingin berbagi ilmu untuk memberdayakan mahasiswa melalui Statorials. Baca selengkapnya\",\"sameAs\":[\"http:\/\/statorials.org\/id\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Transformasi Fisher Z: definisi dan contoh - Statologi","description":"Tutorial ini memberikan penjelasan tentang transformasi Fisher Z, termasuk definisi formal dan contohnya.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/statorials.org\/id\/transformasi-nelayan-z\/","og_locale":"id_ID","og_type":"article","og_title":"Transformasi Fisher Z: definisi dan contoh - Statologi","og_description":"Tutorial ini memberikan penjelasan tentang transformasi Fisher Z, termasuk definisi formal dan contohnya.","og_url":"https:\/\/statorials.org\/id\/transformasi-nelayan-z\/","og_site_name":"Statorials","article_published_time":"2023-07-21T13:32:57+00:00","author":"Benjamin anderson","twitter_card":"summary_large_image","twitter_misc":{"Ditulis oleh":"Benjamin anderson","Estimasi waktu membaca":"2 menit"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/statorials.org\/id\/transformasi-nelayan-z\/","url":"https:\/\/statorials.org\/id\/transformasi-nelayan-z\/","name":"Transformasi Fisher Z: definisi dan contoh - Statologi","isPartOf":{"@id":"https:\/\/statorials.org\/id\/#website"},"datePublished":"2023-07-21T13:32:57+00:00","dateModified":"2023-07-21T13:32:57+00:00","author":{"@id":"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81"},"description":"Tutorial ini memberikan penjelasan tentang transformasi Fisher Z, termasuk definisi formal dan contohnya.","breadcrumb":{"@id":"https:\/\/statorials.org\/id\/transformasi-nelayan-z\/#breadcrumb"},"inLanguage":"id","potentialAction":[{"@type":"ReadAction","target":["https:\/\/statorials.org\/id\/transformasi-nelayan-z\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/statorials.org\/id\/transformasi-nelayan-z\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/statorials.org\/id\/"},{"@type":"ListItem","position":2,"name":"Transformasi fisher z: definisi &amp; contoh"}]},{"@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. Dengan pengalaman dan keahlian yang luas di bidang statistika, saya ingin berbagi ilmu untuk memberdayakan mahasiswa melalui Statorials. Baca selengkapnya","sameAs":["http:\/\/statorials.org\/id"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/posts\/2602"}],"collection":[{"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/comments?post=2602"}],"version-history":[{"count":0,"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/posts\/2602\/revisions"}],"wp:attachment":[{"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/media?parent=2602"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/categories?post=2602"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/tags?post=2602"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}