{"id":935,"date":"2023-07-28T06:38:23","date_gmt":"2023-07-28T06:38:23","guid":{"rendered":"https:\/\/statorials.org\/id\/margin-of-error-vs-standard-error-apa-bedanya\/"},"modified":"2023-07-28T06:38:23","modified_gmt":"2023-07-28T06:38:23","slug":"margin-of-error-vs-standard-error-apa-bedanya","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/margin-of-error-vs-standard-error-apa-bedanya\/","title":{"rendered":"Margin of error versus standard error: apa bedanya?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Dua istilah yang sering membingungkan siswa dalam statistik adalah <strong>kesalahan standar<\/strong> dan <strong>margin kesalahan<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Kesalahan standar<\/strong> mengukur ketepatan perkiraan rata-rata populasi. Ini dihitung sebagai berikut:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Kesalahan standar = s \/ \u221an<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Emas:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>s:<\/strong> deviasi standar sampel<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n:<\/strong> ukuran sampel<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Margin kesalahan<\/strong> mengukur setengah lebar <a href=\"https:\/\/statorials.org\/id\/interval-kepercayaan-rata-rata\/\" target=\"_blank\" rel=\"noopener noreferrer\">interval kepercayaan untuk rata-rata populasi<\/a> . Ini dihitung sebagai berikut:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Margin kesalahan = z*(s\/\u221an)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Emas:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>z :<\/strong> Nilai Z yang sesuai dengan tingkat kepercayaan tertentu<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>s:<\/strong> deviasi standar sampel<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n:<\/strong> ukuran sampel<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Mari kita lihat contoh untuk mengilustrasikan gagasan ini.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Contoh: margin of error dibandingkan dengan standard error<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Misalkan kita mengumpulkan sampel penyu secara acak dengan informasi berikut:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Ukuran sampel <strong>n = 25<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">Rata-rata berat sampel <strong>x = 300<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">Simpangan baku sampel <strong>s = 18,5<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Sekarang misalkan kita ingin membuat interval kepercayaan 95% untuk rata-rata bobot sebenarnya dari populasi penyu. Rumus untuk menghitung selang kepercayaan ini adalah sebagai berikut:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Interval kepercayaan = <span style=\"text-decoration: overline;\">x<\/span> +\/- z*(s\/\u221an)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Emas:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong><span style=\"text-decoration: overline;\">x<\/span> :<\/strong> mean sampel<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>s:<\/strong> deviasi standar sampel<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n:<\/strong> ukuran sampel<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>z :<\/strong> Nilai Z yang sesuai dengan tingkat kepercayaan tertentu<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Nilai z yang Anda gunakan bergantung pada tingkat kepercayaan yang Anda pilih. Tabel berikut menunjukkan nilai z yang sesuai dengan pilihan tingkat kepercayaan yang paling umum:<\/span><\/p>\n<table>\n<tbody>\n<tr>\n<th> <span style=\"color: #000000;\"><strong>Tingkat kepercayaan diri<\/strong><\/span><\/th>\n<th> <span style=\"color: #000000;\"><strong>nilai z<\/strong><\/span><\/th>\n<\/tr>\n<tr>\n<td> <span style=\"color: #000000;\">0,90<\/span><\/td>\n<td> <span style=\"color: #000000;\">1.645<\/span><\/td>\n<\/tr>\n<tr>\n<td> <span style=\"color: #000000;\">0,95<\/span><\/td>\n<td> <span style=\"color: #000000;\">1.96<\/span><\/td>\n<\/tr>\n<tr>\n<td> <span style=\"color: #000000;\">0,99<\/span><\/td>\n<td> <span style=\"color: #000000;\">2.58<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p> <span style=\"color: #000000;\">Perhatikan bahwa tingkat kepercayaan yang lebih tinggi berhubungan dengan nilai z yang lebih besar, yang menyebabkan interval kepercayaan yang lebih luas. Artinya, misalnya, interval kepercayaan 99% akan lebih lebar daripada interval kepercayaan 95% untuk kumpulan data yang sama.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Kesalahan standar<\/strong> akan dihitung sebagai berikut:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong>Standard error<\/strong> = s\/\u221an = 18.5\/\u221a25 = <strong>3.7<\/strong><\/span><\/pre>\n<p> <span style=\"color: #000000;\"><strong>Margin kesalahan<\/strong> akan dihitung sebagai berikut<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong>Margin of error<\/strong> = z*(s\/\u221an) = 1.96*(18.5\/\u221a25) = <strong>7.25<\/strong><\/span><\/pre>\n<p> <span style=\"color: #000000;\">Dan interval kepercayaan 95% akan dihitung sebagai berikut:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong>95% Confidence Interval<\/strong> = <span style=\"text-decoration: overline;\">x<\/span> +\/- z*(s\/\u221an) = 300 +\/- 1.96*(18.5\/\u221a25) = <strong>[292.75, 307.25]<\/strong><\/span><\/pre>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\">Perhatikan bahwa lebar seluruh selang kepercayaan adalah 307,25 \u2013 292,75 = <strong>14,5<\/strong> .<\/span><\/span><\/p>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\">Perhatikan bahwa margin kesalahan sama dengan setengah lebar ini: 14.5 \/ 2 = <strong>7.25<\/strong> .<\/span><\/span><\/p>\n<p> <span style=\"color: #000000;\">Perhatikan juga bahwa margin kesalahan akan selalu lebih besar daripada kesalahan standar hanya karena margin kesalahan sama dengan kesalahan standar dikalikan dengan nilai Z kritis. Pada contoh sebelumnya, kita mengalikan standard error dengan 1,96 untuk mendapatkan margin of error.<\/span><\/p>\n<h3> <strong><span style=\"color: #000000;\">Sumber Daya<\/span> <span style=\"color: #000000;\">Tambahan<\/span><\/strong><\/h3>\n<p> Apa yang dimaksud dengan interval kepercayaan?<br \/> <a href=\"https:\/\/statorials.org\/id\/deviasi-standar-vs-kesalahan-standar\/\" target=\"_blank\" rel=\"noopener noreferrer\">Standar deviasi dan kesalahan standar: apa bedanya?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Dua istilah yang sering membingungkan siswa dalam statistik adalah kesalahan standar dan margin kesalahan . Kesalahan standar mengukur ketepatan perkiraan rata-rata populasi. Ini dihitung sebagai berikut: Kesalahan standar = s \/ \u221an Emas: s: deviasi standar sampel n: ukuran sampel Margin kesalahan mengukur setengah lebar interval kepercayaan untuk rata-rata populasi . Ini dihitung sebagai berikut: [&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>Margin of error versus standard error: apa bedanya?<\/title>\n<meta name=\"description\" content=\"Penjelasan sederhana tentang perbedaan margin of error dan standard error, beserta 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\/margin-of-error-vs-standard-error-apa-bedanya\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Margin of error versus standard error: apa bedanya?\" \/>\n<meta property=\"og:description\" content=\"Penjelasan sederhana tentang perbedaan margin of error dan standard error, beserta contohnya.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/margin-of-error-vs-standard-error-apa-bedanya\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-28T06:38:23+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\/margin-of-error-vs-standard-error-apa-bedanya\/\",\"url\":\"https:\/\/statorials.org\/id\/margin-of-error-vs-standard-error-apa-bedanya\/\",\"name\":\"Margin of error versus standard error: apa bedanya?\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-07-28T06:38:23+00:00\",\"dateModified\":\"2023-07-28T06:38:23+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Penjelasan sederhana tentang perbedaan margin of error dan standard error, beserta contohnya.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/margin-of-error-vs-standard-error-apa-bedanya\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/margin-of-error-vs-standard-error-apa-bedanya\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/margin-of-error-vs-standard-error-apa-bedanya\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Margin of error versus standard error: apa bedanya?\"}]},{\"@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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