{"id":1359,"date":"2023-07-26T17:40:11","date_gmt":"2023-07-26T17:40:11","guid":{"rendered":"https:\/\/statorials.org\/id\/aturan-sturges\/"},"modified":"2023-07-26T17:40:11","modified_gmt":"2023-07-26T17:40:11","slug":"aturan-sturges","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/aturan-sturges\/","title":{"rendered":"Apa itu sturges? penggaris? (definisi &amp; #038; contoh)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Histogram<\/strong> adalah grafik yang membantu kita memvisualisasikan distribusi nilai dalam sekumpulan data.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ternyata jumlah kotak yang digunakan dalam histogram bisa berdampak besar pada cara kita menafsirkan data.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Jika kita menggunakan terlalu sedikit kelompok, pola dasar sebenarnya dalam data dapat disembunyikan:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13279 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/sturges1.png\" alt=\"\" width=\"378\" height=\"385\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Dan jika kita menggunakan terlalu banyak grup, kita cukup memvisualisasikan gangguan dalam kumpulan data:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13280 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/sturges2.png\" alt=\"\" width=\"431\" height=\"424\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Untungnya, kita dapat menggunakan metode yang disebut aturan Sturges untuk menentukan jumlah kotak optimal yang akan digunakan dalam histogram.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Aturan Sturges<\/strong> menggunakan rumus berikut untuk menentukan jumlah grup optimal yang akan digunakan dalam histogram:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Tempat sampah optimal = \u2308log <sub>2<\/sub> n + 1\u2309<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Emas:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>n:<\/strong> jumlah total <a href=\"https:\/\/statorials.org\/id\/pengamatan-dalam-statistik\/\" target=\"_blank\" rel=\"noopener\">observasi<\/a> dalam kumpulan data.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u2308 \u2309 :<\/strong> Simbol yang berarti \u201clangit-langit\u201d, yaitu membulatkan jawaban ke bilangan bulat terdekat.<\/span><\/li>\n<\/ul>\n<h3> <span style=\"color: #000000;\"><strong>Contoh: Aturan Sturges<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Misalkan kita memiliki kumpulan data berikut dengan total n = 31 observasi:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13281 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/sturges3.png\" alt=\"\" width=\"93\" height=\"642\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Kita dapat menggunakan aturan Sturges untuk menentukan jumlah kotak optimal yang digunakan untuk memvisualisasikan nilai-nilai ini dalam histogram:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Tempat sampah optimal<\/strong> = \u2308log <sub>2<\/sub> (31) + 1\u2309 = \u23084.954 + 1\u2309 = \u23085.954\u2309 = <strong>6<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Menurut aturan Sturges, kita harus menggunakan 6 bin dalam histogram yang kita gunakan untuk memvisualisasikan distribusi nilai ini.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Berikut tampilan histogram dengan 6 grup untuk kumpulan data ini:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13282 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/sturges4.png\" alt=\"Menggunakan Aturan Sturges untuk Menentukan Jumlah Kotak yang Digunakan dalam Histogram\" width=\"445\" height=\"445\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Perhatikan bagaimana ini tampaknya cukup untuk mendapatkan gambaran bagus tentang distribusi nilai yang mendasarinya tanpa terlalu banyak untuk sekadar memvisualisasikan gangguan dalam data.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Nilai-nilai umum untuk aturan Sturges<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Tabel berikut menunjukkan jumlah grup optimal untuk digunakan dalam histogram berdasarkan jumlah total observasi dalam kumpulan data, menurut aturan Sturges:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13283 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/sturges5.png\" alt=\"Aturan Sturges untuk ukuran sampel yang berbeda\" width=\"213\" height=\"263\" srcset=\"\" sizes=\"\"><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Alternatif untuk Aturan Sturges<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Aturan Sturges adalah metode paling umum untuk menentukan jumlah bin optimal yang akan digunakan dalam histogram, namun ada beberapa metode alternatif, antara lain:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Aturan akar kuadrat<\/strong> : Banyaknya kotak = \u2308\u221a <span style=\"text-decoration: overline;\">n<\/span> \u2309<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Aturan nasi:<\/strong> Jumlah wadah = \u23082 * <sup>3<\/sup> \u221a <span style=\"text-decoration: overline;\">n<\/span> \u2309<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Aturan Freedman-Diaconis:<\/strong> Banyaknya kotak = (2*IQR) \/ <sup>3<\/sup> \u221a <span style=\"text-decoration: overline;\">n<\/span> dimana <em>IQR<\/em> adalah rentang interkuartil.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Bonus: Kalkulator Aturan Sturges<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Gunakan kalkulator online gratis ini untuk secara otomatis menerapkan aturan Sturges guna menentukan jumlah grup optimal yang akan digunakan untuk histogram berdasarkan ukuran kumpulan data.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Histogram adalah grafik yang membantu kita memvisualisasikan distribusi nilai dalam sekumpulan data. Ternyata jumlah kotak yang digunakan dalam histogram bisa berdampak besar pada cara kita menafsirkan data. Jika kita menggunakan terlalu sedikit kelompok, pola dasar sebenarnya dalam data dapat disembunyikan: Dan jika kita menggunakan terlalu banyak grup, kita cukup memvisualisasikan gangguan dalam kumpulan data: Untungnya, [&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 Aturan Sturges? 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