{"id":282,"date":"2023-08-03T04:08:56","date_gmt":"2023-08-03T04:08:56","guid":{"rendered":"https:\/\/statorials.org\/id\/distribusi-varians-pengambilan-sampel\/"},"modified":"2023-08-03T04:08:56","modified_gmt":"2023-08-03T04:08:56","slug":"distribusi-varians-pengambilan-sampel","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/distribusi-varians-pengambilan-sampel\/","title":{"rendered":"Distribusi varians pengambilan sampel"},"content":{"rendered":"<p>Artikel ini menjelaskan apa yang dimaksud dengan distribusi sampling varians (atau distribusi sampling varians) dalam statistik. Demikian pula, rumus untuk distribusi sampling varians dan latihan penyelesaian langkah demi langkah disajikan. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-distribucion-muestral-de-la-varianza\"><\/span> Apa yang dimaksud dengan distribusi varians sampling?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Distribusi varians sampling<\/strong> adalah distribusi yang dihasilkan dari penghitungan varians setiap kemungkinan sampel dari suatu populasi. Artinya, himpunan semua <a href=\"https:\/\/statorials.org\/id\/deviasi-sampel\/\">varians sampel<\/a> dari semua sampel yang mungkin dari suatu populasi membentuk distribusi varians sampling.<\/p>\n<p> Atau dengan kata lain, untuk mendapatkan distribusi varians sampling, terlebih dahulu kita harus memilih semua kemungkinan sampel dalam suatu populasi kemudian menghitung varians dari setiap sampel yang dipilih. Jadi, himpunan varians yang dihitung merupakan distribusi sampling dari varians tersebut.<\/p>\n<p> Dalam statistik, distribusi varians sampling digunakan untuk menghitung probabilitas memperoleh nilai varians populasi dengan mengekstraksi satu sampel. Misalnya, dalam analisis risiko investasi, distribusi varians sampling digunakan. <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Lihat:<\/strong> <a href=\"https:\/\/statorials.org\/id\/distribusi-sampling-mean\/\">Distribusi Sampling Sarana<\/a><br \/> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Lihat:<\/strong> <a href=\"https:\/\/statorials.org\/id\/distribusi-proporsi-pengambilan-sampel\/\">Distribusi Proporsi Sampling<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-distribucion-muestral-de-la-varianza\"><\/span> Rumus Distribusi Varians Sampling<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Distribusi varians pengambilan sampel ditentukan oleh <a href=\"https:\/\/statorials.org\/id\/distribusi-chi-kuadrat\/\">distribusi probabilitas chi-kuadrat<\/a> . Oleh karena itu, <strong>rumus statistik distribusi varians sampling<\/strong> adalah:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-3917636d4c911eeaad1a005195204d08_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi^2=\\cfrac{(n-1)s^2}{\\sigma^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"115\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> Emas:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-984dc78529fc235b078a9f3b62d0f0c4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi^2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"18\" style=\"vertical-align: -4px;\"><\/p>\n<p> adalah statistik dari distribusi varians sampling, yang mengikuti distribusi chi-kuadrat.<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ec4217f4fa5fcd92a9edceba0e708cf7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> adalah ukuran sampel.<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-3ab572e85f9cb7cb6f495387f2a6ab0b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"15\" style=\"vertical-align: 0px;\"><\/p>\n<p> adalah varians sampel.<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-c6d52162ef1ec2e8130fb00687aca707_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"18\" style=\"vertical-align: 0px;\"><\/p>\n<p> adalah varians populasi.<\/li>\n<\/ul>\n<p> Rumus ini juga digunakan untuk <a href=\"https:\/\/statorials.org\/id\/pengujian-hipotesis-untuk-varians\/\">menguji asumsi varians<\/a> . <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-resuelto-de-la-distribucion-muestral-de-la-varianza\"><\/span> Contoh Distribusi Sampling Varians di Dunia Nyata<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Sekarang kita telah melihat definisi distribusi sampling varians dan apa rumusnya, kita akan menyelesaikan contoh langkah demi langkah untuk menyelesaikan pemahaman konsepnya.<\/p>\n<ul>\n<li> Dari populasi yang variansnya diketahui \u03c3=5, dipilih sampel acak sebanyak 17 observasi. Berapa probabilitas memperoleh varians sampel lebih besar dari 10?<\/li>\n<\/ul>\n<p> Pertama, kita perlu memperoleh statistik distribusi varians sampling. Oleh karena itu kami menerapkan rumus yang dijelaskan di bagian sebelumnya:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-fe66f077a5253dfe4d5b40d63fcec5ea_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi^2=\\cfrac{(n-1)s^2}{\\sigma^2}=\\cfrac{(17-1)\\cdot 10}{5}=32\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"274\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Karena ukuran sampel adalah n = 17, maka distribusi chi-kuadrat akan memiliki 16 derajat kebebasan (n-1). Oleh karena itu, probabilitas varians sampel lebih besar dari 10 setara dengan probabilitas mengambil nilai lebih besar dari 32 dalam distribusi chi-kuadrat dengan 16 derajat kebebasan.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-328d2cce8c284fc18c99a31b138bb113_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P[s^2>10]=P[\\chi_{16}^2>32]&#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;20&#8243; width=&#8221;194&#8243; style=&#8221;vertical-align: -5px;&#8221;><\/p>\n<\/p>\n<p> Jadi kita mencari probabilitas yang sesuai dalam tabel distribusi chi-kuadrat dan dengan demikian menyelesaikan masalahnya.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ef8a9168b6d309653dc1f87ffbeace06_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P[s^2>10]=P[\\chi_{16}^2>32]=0,01&#8243; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;20&#8243; width=&#8221;253&#8243; style=&#8221;vertical-align: -5px;&#8221;><\/p>\n<\/p>\n<p> Singkatnya, probabilitas pengambilan sampel dengan varian lebih besar dari 10 adalah 1%.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Artikel ini menjelaskan apa yang dimaksud dengan distribusi sampling varians (atau distribusi sampling varians) dalam statistik. Demikian pula, rumus untuk distribusi sampling varians dan latihan penyelesaian langkah demi langkah disajikan. Apa yang dimaksud dengan distribusi varians sampling? Distribusi varians sampling adalah distribusi yang dihasilkan dari penghitungan varians setiap kemungkinan sampel dari suatu populasi. Artinya, himpunan [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[14],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 Distribusi sampel varians<\/title>\n<meta name=\"description\" content=\"Di sini Anda akan menemukan apa itu distribusi sampling varians, rumusnya dan contoh konkrit distribusi sampling varians.\" \/>\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\/distribusi-varians-pengambilan-sampel\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7 Distribusi sampel varians\" \/>\n<meta property=\"og:description\" content=\"Di sini Anda akan menemukan apa itu distribusi sampling varians, rumusnya dan contoh konkrit distribusi sampling varians.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/distribusi-varians-pengambilan-sampel\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-08-03T04:08:56+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-3917636d4c911eeaad1a005195204d08_l3.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=\"2 menit\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/id\/distribusi-varians-pengambilan-sampel\/\",\"url\":\"https:\/\/statorials.org\/id\/distribusi-varians-pengambilan-sampel\/\",\"name\":\"\u25b7 Distribusi sampel varians\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-08-03T04:08:56+00:00\",\"dateModified\":\"2023-08-03T04:08:56+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Di sini Anda akan menemukan apa itu distribusi sampling varians, rumusnya dan contoh konkrit distribusi sampling varians.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/distribusi-varians-pengambilan-sampel\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/distribusi-varians-pengambilan-sampel\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/distribusi-varians-pengambilan-sampel\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Distribusi varians pengambilan sampel\"}]},{\"@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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