{"id":281,"date":"2023-08-03T04:39:03","date_gmt":"2023-08-03T04:39:03","guid":{"rendered":"https:\/\/statorials.org\/tr\/oranlar-farkinin-ornekleme-dagilimi\/"},"modified":"2023-08-03T04:39:03","modified_gmt":"2023-08-03T04:39:03","slug":"oranlar-farkinin-ornekleme-dagilimi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/oranlar-farkinin-ornekleme-dagilimi\/","title":{"rendered":"Oranlardaki fark\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131"},"content":{"rendered":"<p>Bu makalede orant\u0131sal \u00f6rnekleme da\u011f\u0131l\u0131m\u0131ndaki fark\u0131n ne oldu\u011fu ve istatistikte ne i\u00e7in kullan\u0131ld\u0131\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r. Oranlardaki fark \u00f6rnekleme da\u011f\u0131l\u0131m form\u00fcl\u00fc ve ad\u0131m ad\u0131m \u00e7\u00f6z\u00fclm\u00fc\u015f bir al\u0131\u015ft\u0131rma da sunulmaktad\u0131r. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-distribucion-muestral-de-la-diferencia-de-proporciones\"><\/span> Oranlardaki fark\u0131n \u00f6rneklem da\u011f\u0131l\u0131m\u0131 nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Orant\u0131sal \u00f6rnekleme da\u011f\u0131l\u0131m\u0131ndaki fark<\/strong> , iki farkl\u0131 pop\u00fclasyondan olas\u0131 t\u00fcm \u00f6rneklerin \u00f6rnekleme oranlar\u0131 aras\u0131ndaki farklar\u0131n hesaplanmas\u0131ndan kaynaklanan da\u011f\u0131l\u0131md\u0131r.<\/p>\n<p> Yani, oranlardaki fark\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131n\u0131 elde etme s\u00fcreci, ilk olarak iki farkl\u0131 pop\u00fclasyondan olas\u0131 t\u00fcm \u00f6rneklerin \u00e7\u0131kar\u0131lmas\u0131, ikinci olarak \u00e7\u0131kar\u0131lan her \u00f6rne\u011fin oran\u0131n\u0131n belirlenmesi ve son olarak t\u00fcm pop\u00fclasyonlar aras\u0131ndaki fark\u0131n belirlenmesidir. oranlar fark\u0131n\u0131n oranlar\u0131. iki pop\u00fclasyon. B\u00f6ylece bu i\u015flemler yap\u0131ld\u0131ktan sonra elde edilen sonu\u00e7lar k\u00fcmesi, orant\u0131sal fark\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131n\u0131 olu\u015fturur. <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/repartition-de-lechantillon-de-la-difference-de-proportions.png\" alt=\"oranlardaki fark\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131\" class=\"wp-image-5964\" width=\"566\" height=\"259\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> \u0130statistikte, orant\u0131sal \u00f6rnekleme da\u011f\u0131l\u0131m\u0131ndaki fark, rastgele se\u00e7ilen iki \u00f6rne\u011fin <a href=\"https:\/\/statorials.org\/tr\/numunenin-orani\/\">\u00f6rneklem oranlar\u0131<\/a> aras\u0131ndaki fark\u0131n pop\u00fclasyon oranlar\u0131ndaki farka yak\u0131n olma olas\u0131l\u0131\u011f\u0131n\u0131 hesaplamak i\u00e7in kullan\u0131l\u0131r. <\/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>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/ornekleme-orani-dagilimi\/\">Orant\u0131l\u0131 \u00d6rnekleme Tahsisi<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-distribucion-muestral-de-la-diferencia-de-proporciones\"><\/span> Oran Fark\u0131n\u0131n \u00d6rnekleme Da\u011f\u0131l\u0131m\u0131 Form\u00fcl\u00fc<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Orant\u0131 \u00f6rnekleme da\u011f\u0131l\u0131m\u0131ndaki fark i\u00e7in se\u00e7ilen \u00f6rnekler <a href=\"https:\/\/statorials.org\/tr\/binom-dagilimi-1\/\">binom da\u011f\u0131l\u0131mlar\u0131yla<\/a> tan\u0131mlan\u0131r, \u00e7\u00fcnk\u00fc pratik ama\u00e7lar i\u00e7in oran, ba\u015far\u0131l\u0131 vakalar\u0131n toplam g\u00f6zlem say\u0131s\u0131na oran\u0131d\u0131r.<\/p>\n<p> Bununla birlikte, merkezi limit teoremi nedeniyle binom da\u011f\u0131l\u0131mlar\u0131 <a href=\"https:\/\/statorials.org\/tr\/normal-dagilim\/\">normal olas\u0131l\u0131k da\u011f\u0131l\u0131mlar\u0131na<\/a> yakla\u015ft\u0131r\u0131labilir. Bu nedenle oranlardaki fark\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131, a\u015fa\u011f\u0131daki \u00f6zelliklerle normal bir da\u011f\u0131l\u0131ma yakla\u015ft\u0131r\u0131labilir:<\/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-a1ce359b5dd6d80f8d27b0b9a1034bed_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}\\displaystyle\\mu_{\\widehat{p_1}-\\widehat{p_2}}=p_1-p_2 \\qquad \\sigma_{\\widehat{p_1}-\\widehat{p_2}}=\\sqrt{\\frac{p_1q_1}{n_1}+\\frac{p_2q_2}{n_2}}\\\\[6ex]\\displaystyle N_{p}\\left(p_1-p_2, \\sqrt{\\frac{p_1q_1}{n_1}+\\frac{p_2q_2}{n_2}}\\right) \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"122\" width=\"348\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> <strong>Not:<\/strong> Oranlardaki fark\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131 ancak a\u015fa\u011f\u0131daki durumlarda normal da\u011f\u0131l\u0131ma yakla\u015fabilir:<\/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-6a7ebccb76a4ee9bbf44bb0f41ffee53_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_1\\geq30\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"60\" style=\"vertical-align: -3px;\"><\/p>\n<p> ,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-93c3febf2679c77d41d7b319e262f298_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_2\\geq 30\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"60\" style=\"vertical-align: -3px;\"><\/p>\n<p> ,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-19a35b2095afa5133c32d92de163adaf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_1p_1\\geq5\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"67\" style=\"vertical-align: -4px;\"><\/p>\n<p> ,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a89c44bd89266e2fba37bf5211a6e30e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_2p_2\\geq5\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"67\" style=\"vertical-align: -4px;\"><\/p>\n<p> ,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-08c0b04a830a0062f4e7f25801c45fa9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_1q_1\\geq5\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"66\" style=\"vertical-align: -4px;\"><\/p>\n<p> Ve<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-789e8bfde9b6a18c7ff9b1390feca142_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_2q_2\\geq5\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"66\" style=\"vertical-align: -4px;\"><\/p>\n<p> .<\/p>\n<p> Dolay\u0131s\u0131yla oranlardaki fark\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131 normal bir da\u011f\u0131l\u0131ma yak\u0131nla\u015ft\u0131r\u0131labilece\u011finden, <strong>oranlardaki fark\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131n\u0131n istatisti\u011fini hesaplama form\u00fcl\u00fc<\/strong> a\u015fa\u011f\u0131daki gibidir:<\/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-a6b74dafd0599052a453e77646e5a77a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z=\\cfrac{(\\widehat{p_1}-\\widehat{p_2})-(p_1-p_2)}{\\displaystyle\\sqrt{\\frac{p_1q_1}{n_1}+\\frac{p_2q_2}{n_2}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"69\" width=\"198\" style=\"vertical-align: -41px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> Alt\u0131n:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ad10d8ae9a51401d94ca9742249d6d15_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\widehat{p_i}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"15\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u00f6rnek oran\u0131 i&#8217;dir.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a5db80b23c0dc6e4f21c509cb298856a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"p_i\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"15\" style=\"vertical-align: -4px;\"><\/p>\n<p> i n\u00fcfus oran\u0131d\u0131r.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-4b2d0075b0f4fd8e4e14194b33ed0fe8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"q_i\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"13\" style=\"vertical-align: -4px;\"><\/p>\n<p> i pop\u00fclasyonunun ba\u015far\u0131s\u0131zl\u0131k olas\u0131l\u0131\u011f\u0131d\u0131r,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-917f2422b9b0d7d99ec3de548cc6bba3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"q_i=1-p_i\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"82\" style=\"vertical-align: -4px;\"><\/p>\n<p> .<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-5f087375b50e0b49186779714206626b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"16\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc i&#8217;dir.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-0be116875001706f29a24434bd0d91c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"12\" style=\"vertical-align: 0px;\"><\/p>\n<p> standart normal da\u011f\u0131l\u0131m N(0,1) taraf\u0131ndan tan\u0131mlanan bir de\u011fi\u015fkendir.<\/li>\n<\/ul>\n<p> Bu form\u00fcl, oranlar aras\u0131ndaki fark i\u00e7in hipotez testi form\u00fcl\u00fcne benzer. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-resuelto-de-la-distribucion-muestral-de-la-diferencia-de-proporciones\"><\/span> Oranlar fark\u0131n\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131n\u0131n somut \u00f6rne\u011fi<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Oranlar Fark\u0131 \u00d6rnekleme Da\u011f\u0131l\u0131m\u0131&#8217;n\u0131n tan\u0131m\u0131n\u0131 ve form\u00fcl\u00fcn\u00fcn ne oldu\u011funu g\u00f6rd\u00fckten sonra, kavram\u0131 anlamay\u0131 tamamlamak i\u00e7in ad\u0131m ad\u0131m \u00e7\u00f6z\u00fclm\u00fc\u015f bir \u00f6rne\u011fi a\u015fa\u011f\u0131da g\u00f6rebilirsiniz.<\/p>\n<ul>\n<li> \u0130ki \u00fcretim tesisinin do\u011frulu\u011funu analiz etmek istiyorsunuz; bir fabrika, \u00fcretilen par\u00e7alar\u0131n yaln\u0131zca %5&#8217;inde kusur olacak \u015fekilde \u00fcretim yaparken, ba\u015fka bir fabrikan\u0131n hatal\u0131 par\u00e7a y\u00fczdesi %8 olacak \u015fekilde \u00fcretim yap\u0131yor. Birinci fabrikadan 200 par\u00e7al\u0131k bir numune ve ikinci fabrikadan da 280 par\u00e7al\u0131k bir numune al\u0131rsak, ilk \u00fcretim tesisindeki kusur y\u00fczdesinin ikinci fabrikadaki kusur y\u00fczdesinden daha b\u00fcy\u00fck olma olas\u0131l\u0131\u011f\u0131 nedir? \u00fcretme?<\/li>\n<\/ul>\n<p> Sorunun t\u00fcm verilerini bilmeyi tamamlamak i\u00e7in \u00f6ncelikle her fabrikan\u0131n iyi \u00fcretilen par\u00e7alar\u0131n\u0131n oran\u0131n\u0131 hesaplayaca\u011f\u0131z:<\/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-7c02732cc5fb319bfa5bf7b8ed8d03db_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}q_1=1-p_1=1-0,05=0,95\\\\[2ex]q_2=1-p_2=1-0,08=0,92\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"55\" width=\"232\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> E\u011fer birinci fabrikadaki kusur oran\u0131 ikinci fabrikadaki kusur oran\u0131ndan b\u00fcy\u00fckse bu, a\u015fa\u011f\u0131daki denklemin do\u011fru olaca\u011f\u0131 anlam\u0131na gelir:<\/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-6c67f825ad12cef344c22a24a59e8468_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\widehat{p_1}-\\widehat{p_2}>0&#8243; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;18&#8243; width=&#8221;89&#8243; style=&#8221;vertical-align: -4px;&#8221;><\/p>\n<\/p>\n<p> Dolay\u0131s\u0131yla oranlardaki farkl\u0131l\u0131\u011f\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m olas\u0131l\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in yukar\u0131daki b\u00f6l\u00fcmde a\u00e7\u0131klanan form\u00fcl\u00fc uygulamam\u0131z gerekir:<\/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-4e16835581e3f19de2c3060b9337de78_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z=\\cfrac{(\\widehat{p_1}-\\widehat{p_2})-(p_1-p_2)}{\\displaystyle\\sqrt{\\frac{p_1q_1}{n_1}+\\frac{p_2q_2}{n_2}}}=\\cfrac{0-(0,05-0,08)}{\\displaystyle\\sqrt{\\frac{0,05\\cdot 0,95}{200}+\\frac{0,08\\cdot 0,92}{280}}}=1,34\" title=\"Rendered by QuickLaTeX.com\" height=\"69\" width=\"492\" style=\"vertical-align: -41px;\"><\/p>\n<\/p>\n<p> Dolay\u0131s\u0131yla, birinci fabrikan\u0131n kusur oran\u0131n\u0131n ikinci fabrikan\u0131n kusur oran\u0131ndan b\u00fcy\u00fck olma olas\u0131l\u0131\u011f\u0131, Z de\u011fi\u015fkeninin 1,34&#8217;ten b\u00fcy\u00fck olma olas\u0131l\u0131\u011f\u0131na e\u015fde\u011ferdir:<\/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-41dd897cdff473ff488cde0e3cc140b0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P[(\\widehat{p_1}-\\widehat{p_2})>0]=P[Z>1,34]&#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;19&#8243; width=&#8221;242&#8243; style=&#8221;vertical-align: -5px;&#8221;><\/p>\n<\/p>\n<p> Son olarak, <a href=\"https:\/\/statorials.org\/tr\/normal-dagilim-tablosu\/\">normal da\u011f\u0131l\u0131m tablosunda<\/a> kar\u015f\u0131l\u0131k gelen olas\u0131l\u0131\u011f\u0131 aramam\u0131z yeterli; sorunu zaten \u00e7\u00f6zm\u00fc\u015f olaca\u011f\u0131z:<\/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-8d6e503a2089d30be8fd68bbc722bb44_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P[(\\widehat{p_1}-\\widehat{p_2})>0]=P[Z>1,34]=0,0901&#8243; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;19&#8243; width=&#8221;319&#8243; style=&#8221;vertical-align: -5px;&#8221;><\/p>\n<\/p>\n<p> K\u0131saca birinci fabrikadaki kusur oran\u0131n\u0131n ikinci fabrikadaki kusur oran\u0131ndan b\u00fcy\u00fck olma olas\u0131l\u0131\u011f\u0131 %9,01&#8217;dir. <\/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>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/ortalamalar-farkinin-ornekleme-dagilimi\/\">Ortalamalardaki fark\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Bu makalede orant\u0131sal \u00f6rnekleme da\u011f\u0131l\u0131m\u0131ndaki fark\u0131n ne oldu\u011fu ve istatistikte ne i\u00e7in kullan\u0131ld\u0131\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r. Oranlardaki fark \u00f6rnekleme da\u011f\u0131l\u0131m form\u00fcl\u00fc ve ad\u0131m ad\u0131m \u00e7\u00f6z\u00fclm\u00fc\u015f bir al\u0131\u015ft\u0131rma da sunulmaktad\u0131r. Oranlardaki fark\u0131n \u00f6rneklem da\u011f\u0131l\u0131m\u0131 nedir? Orant\u0131sal \u00f6rnekleme da\u011f\u0131l\u0131m\u0131ndaki fark , iki farkl\u0131 pop\u00fclasyondan olas\u0131 t\u00fcm \u00f6rneklerin \u00f6rnekleme oranlar\u0131 aras\u0131ndaki farklar\u0131n hesaplanmas\u0131ndan kaynaklanan da\u011f\u0131l\u0131md\u0131r. Yani, oranlardaki fark\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131n\u0131 [&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":[],"class_list":["post-281","post","type-post","status-publish","format-standard","hentry","category-istatistik"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 Oranlardaki fark\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131<\/title>\n<meta name=\"description\" content=\"Oranlardaki fark\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131n\u0131n ne oldu\u011funu, form\u00fcl\u00fcn\u00fc ve ad\u0131m ad\u0131m \u00e7\u00f6z\u00fclm\u00fc\u015f bir \u00f6rne\u011fi burada bulacaks\u0131n\u0131z.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, 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