{"id":1009,"date":"2023-07-28T00:33:24","date_gmt":"2023-07-28T00:33:24","guid":{"rendered":"https:\/\/statorials.org\/tr\/genel-kural\/"},"modified":"2023-07-28T00:33:24","modified_gmt":"2023-07-28T00:33:24","slug":"genel-kural","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/genel-kural\/","title":{"rendered":"Menzil temel kural\u0131: tan\u0131m ve \u00f6rnek"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Temel aral\u0131k kural\u0131,<\/strong> a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullanarak bir veri k\u00fcmesinin standart sapmas\u0131n\u0131 tahmin etmenin h\u0131zl\u0131 ve kolay bir yolunu sa\u011flar:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Standart sapma = aral\u0131k \/ 4<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu temel kural bazen kullan\u0131l\u0131r \u00e7\u00fcnk\u00fc bir veri k\u00fcmesinin standart sapmas\u0131n\u0131, her de\u011fer yerine yaln\u0131zca iki de\u011fer (minimum de\u011fer ve maksimum de\u011fer) kullanarak tahmin etmenize olanak tan\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek: Temel aral\u0131k kural\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki 20 de\u011ferden olu\u015fan veri setine sahip oldu\u011fumuzu varsayal\u0131m:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>4, 5, 5, 8, 13, 14, 16, 18, 22, 24, 26, 28, 30, 31, 31, 34, 36, 38, 39, 39<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu de\u011ferlerin ger\u00e7ek standart sapmas\u0131 <strong>11,681&#8217;dir<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Aral\u0131klar i\u00e7in temel kural\u0131 kullanarak standart sapman\u0131n (39-4)\/4 = <strong>8,75<\/strong> olaca\u011f\u0131n\u0131 tahmin edebiliriz. Bu de\u011fer ger\u00e7ek standart sapmaya biraz yak\u0131nd\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Temel aral\u0131k kural\u0131n\u0131 kullanmaya ili\u015fkin \u00f6nlemler<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Mesafeler i\u00e7in temel kural\u0131n bariz avantaj\u0131, hesaplaman\u0131n inan\u0131lmaz derecede basit ve h\u0131zl\u0131 olmas\u0131d\u0131r. Bilmemiz gereken tek \u015fey veri setinin minimum de\u011feri ve maksimum de\u011feridir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Aral\u0131klar i\u00e7in temel kural\u0131n dezavantaj\u0131, yaln\u0131zca veriler normal da\u011f\u0131l\u0131mdan geldi\u011finde ve \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc 30 civar\u0131nda oldu\u011funda iyi \u00e7al\u0131\u015fma e\u011filiminde olmas\u0131d\u0131r. Bu ko\u015fullar kar\u015f\u0131lanmad\u0131\u011f\u0131nda temel kapsam kural\u0131 iyi \u00e7al\u0131\u015fmaz. .<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Temel aral\u0131k kural\u0131na alternatif<\/strong><\/span><\/h3>\n<p> Rose-Hulman Lisans Matematik Dergisi&#8217;ndeki <a href=\"https:\/\/scholar.rose-hulman.edu\/cgi\/viewcontent.cgi?article=1211&amp;context=rhumj\" target=\"_blank\" rel=\"noopener noreferrer\">2012 tarihli<\/a> <span style=\"color: #000000;\">bir<\/span> makalede <span style=\"color: #000000;\"><em>Ramirez<\/em> ve Cox, genel kurala g\u00f6re bir geli\u015fme olarak a\u015fa\u011f\u0131daki form\u00fcl\u00fcn kullan\u0131lmas\u0131n\u0131 \u00f6nerdi:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Standart sapma = aral\u0131k \/ (3\u221a(ln <em>(n)<\/em> )-1,5)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">burada <em>n<\/em> \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fcd\u00fcr.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha \u00f6nce kulland\u0131\u011f\u0131m\u0131z ayn\u0131 veri k\u00fcmesini d\u00fc\u015f\u00fcn\u00fcn:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>4, 5, 5, 8, 13, 14, 16, 18, 22, 24, 26, 28, 30, 31, 31, 34, 36, 38, 39, 39<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu form\u00fcl\u00fc kullanarak standart sapmay\u0131 <strong>35\/ (3\u221a(ln(20))-1,5)<\/strong> = <strong>9,479<\/strong> olarak hesaplayaca\u011f\u0131z.<\/span> <span style=\"color: #000000;\">Bu de\u011fer, ampirik tahmin olan <strong>8,75&#8217;e<\/strong> k\u0131yasla <strong>11,681&#8217;lik<\/strong> ger\u00e7ek standart sapmaya daha yak\u0131nd\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu form\u00fcl\u00fcn hesaplanmas\u0131 genel kurala g\u00f6re biraz daha karma\u015f\u0131kt\u0131r ancak veriler normal bir da\u011f\u0131l\u0131mdan gelmedi\u011finde veya \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc 30&#8217;a yak\u0131n olmad\u0131\u011f\u0131nda standart sapman\u0131n daha do\u011fru bir tahminini sa\u011flama e\u011filimindedir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> Aral\u0131k kural\u0131 hesaplay\u0131c\u0131s\u0131<br \/> Da\u011f\u0131l\u0131m \u00f6l\u00e7\u00fcleri: tan\u0131m ve \u00f6rnekler<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Temel aral\u0131k kural\u0131, a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullanarak bir veri k\u00fcmesinin standart sapmas\u0131n\u0131 tahmin etmenin h\u0131zl\u0131 ve kolay bir yolunu sa\u011flar: Standart sapma = aral\u0131k \/ 4 Bu temel kural bazen kullan\u0131l\u0131r \u00e7\u00fcnk\u00fc bir veri k\u00fcmesinin standart sapmas\u0131n\u0131, her de\u011fer yerine yaln\u0131zca iki de\u011fer (minimum de\u011fer ve maksimum de\u011fer) kullanarak tahmin etmenize olanak tan\u0131r. \u00d6rnek: Temel aral\u0131k [&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":[],"class_list":["post-1009","post","type-post","status-publish","format-standard","hentry","category-rehber"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - 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