{"id":732,"date":"2023-07-28T23:02:07","date_gmt":"2023-07-28T23:02:07","guid":{"rendered":"https:\/\/statorials.org\/id\/bandingkan-skor-z\/"},"modified":"2023-07-28T23:02:07","modified_gmt":"2023-07-28T23:02:07","slug":"bandingkan-skor-z","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/bandingkan-skor-z\/","title":{"rendered":"Perbandingan skor z dari distribusi yang berbeda"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Skor-z<\/strong> memberi tahu Anda berapa banyak standar deviasi suatu nilai data individual yang turun dari rata-ratanya. Ini dihitung sebagai berikut:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>skor-z = (x \u2013 \u03bc) \/ \u03c3<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Emas:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>x:<\/strong> nilai data individu<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u03bc:<\/strong> rata-rata populasi<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u03c3:<\/strong> deviasi standar populasi<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Skor-z untuk suatu nilai individu dapat diartikan sebagai berikut:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Skor-z positif:<\/strong> nilai individu di atas rata-rata.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Skor-z negatif:<\/strong> nilai individu lebih rendah dari rata-rata.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Skor z 0:<\/strong> nilai individu sama dengan rata-rata.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Skor Z sangat berguna ketika kita ingin membandingkan posisi relatif dua titik data dari dua distribusi berbeda. Untuk mengilustrasikannya, perhatikan contoh berikut.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Contoh: Membandingkan Skor Z<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Nilai ujian perguruan tinggi tertentu berdistribusi normal dengan mean \u03bc = 80 dan simpangan baku \u03c3 = 4. Duane mendapat nilai 84 pada ujian ini.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Nilai ujian perguruan tinggi lain berdistribusi normal dengan mean \u03bc = 85 dan deviasi standar \u03c3 = 8. Debbie mendapat nilai 90 pada ujian itu.<\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">Dibandingkan dengan distribusi nilai ujian mereka sendiri, siapa yang memperoleh hasil terbaik dalam ujian mereka?<\/span><\/strong><\/p>\n<p> <span style=\"color: #000000;\">Untuk menjawab pertanyaan ini, kita dapat menghitung z-score dari nilai ujian setiap orang:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Skor z Duane = (x \u2013 \u03bc) \/ \u03c3 = (84 \u2013 80) \/ 4 = 4 \/ 4 = <strong>1<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Skor-z Debbie = (x \u2013 \u03bc) \/ \u03c3 = (90 \u2013 85) \/ 8 = 5\/8 = <strong>0,625<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Debbie Meski mendapat nilai lebih tinggi, sebenarnya nilai Duane lebih tinggi dibandingkan distribusi ujian khususnya.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Untuk memahami hal ini, ada baiknya memvisualisasikan situasinya. Berikut skor Duane dibandingkan dengan rincian ujian khususnya:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-7578 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/comparaisonz1.png\" alt=\"Contoh membandingkan skor z dengan kurva distribusi normal\" width=\"470\" height=\"296\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Dan inilah nilai Debbie dari rincian ujiannya:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-7579\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/comparaisonz2.png\" alt=\"Membandingkan skor-z dari dua distribusi\" width=\"471\" height=\"297\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Perhatikan seberapa dekat skor Debbie dengan rata-rata populasinya dibandingkan dengan skor Duane. Walaupun secara keseluruhan dia mempunyai nilai yang lebih tinggi, nilai z-nya lebih rendah karena nilai rata-rata pada ujian khususnya lebih tinggi.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Contoh ini mengilustrasikan mengapa skor-z sangat berguna untuk membandingkan nilai data dari distribusi yang berbeda: skor-z memperhitungkan mean dan deviasi standar dari distribusi, yang memungkinkan kita membandingkan nilai data dari distribusi yang berbeda dan melihat mana yang lebih tinggi dibandingkan dengan distribusi mereka sendiri.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Sumber daya tambahan<\/strong><\/span><\/h3>\n<p> Kalkulator skor Z<br \/> <a href=\"https:\/\/statorials.org\/id\/bandingkan-kalkulator-skor-z\/\" target=\"_blank\" rel=\"noopener\">Bandingkan Kalkulator Skor Z<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Skor-z memberi tahu Anda berapa banyak standar deviasi suatu nilai data individual yang turun dari rata-ratanya. Ini dihitung sebagai berikut: skor-z = (x \u2013 \u03bc) \/ \u03c3 Emas: x: nilai data individu \u03bc: rata-rata populasi \u03c3: deviasi standar populasi Skor-z untuk suatu nilai individu dapat diartikan sebagai berikut: Skor-z positif: nilai individu di atas rata-rata. [&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>Perbandingan skor Z dari distribusi yang berbeda - Statologi<\/title>\n<meta name=\"description\" content=\"Penjelasan sederhana tentang cara membandingkan dua nilai data dari distribusi berbeda menggunakan z-score.\" \/>\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\/bandingkan-skor-z\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Perbandingan skor Z dari distribusi yang berbeda - Statologi\" \/>\n<meta property=\"og:description\" content=\"Penjelasan sederhana tentang cara membandingkan dua nilai data dari distribusi berbeda menggunakan z-score.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/bandingkan-skor-z\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-28T23:02:07+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/comparaisonz1.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=\"1 menit\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/id\/bandingkan-skor-z\/\",\"url\":\"https:\/\/statorials.org\/id\/bandingkan-skor-z\/\",\"name\":\"Perbandingan skor Z dari distribusi yang berbeda - Statologi\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-07-28T23:02:07+00:00\",\"dateModified\":\"2023-07-28T23:02:07+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Penjelasan sederhana tentang cara membandingkan dua nilai data dari distribusi berbeda menggunakan z-score.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/bandingkan-skor-z\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/bandingkan-skor-z\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/bandingkan-skor-z\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Perbandingan skor z dari distribusi yang berbeda\"}]},{\"@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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