{"id":246,"date":"2023-08-03T16:29:13","date_gmt":"2023-08-03T16:29:13","guid":{"rendered":"https:\/\/statorials.org\/tr\/temsili-ornek-1\/"},"modified":"2023-08-03T16:29:13","modified_gmt":"2023-08-03T16:29:13","slug":"temsili-ornek-1","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/temsili-ornek-1\/","title":{"rendered":"Tan\u0131t\u0131c\u0131 \u00f6rnek"},"content":{"rendered":"<p>Bu makalede temsili \u00f6rneklemin ne oldu\u011fu ve istatistikte temsili \u00f6rneklem elde etmek i\u00e7in ne yap\u0131lmas\u0131 gerekti\u011fi a\u00e7\u0131klanmaktad\u0131r. Ayr\u0131ca temsili bir numunenin nas\u0131l elde edilece\u011fini a\u00e7\u0131klayan bir \u00f6rnek de g\u00f6rebileceksiniz. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-una-muestra-representativa\"><\/span> Temsili \u00f6rnek nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0130statistiklerde <strong>temsili bir \u00f6rnek<\/strong> , bir pop\u00fclasyondaki bireyleri yeterince temsil eden bir \u00f6rnektir. Ba\u015fka bir deyi\u015fle temsili bir \u00f6rnek, \u00f6zellikleri temsil etti\u011fi pop\u00fclasyonun \u00f6zelliklerine benzer olan bir pop\u00fclasyonun par\u00e7as\u0131d\u0131r.<\/p>\n<p> Bir \u00f6rne\u011fin temsili olabilmesi i\u00e7in pop\u00fclasyonla ayn\u0131 \u00f6zelliklere sahip olmas\u0131 gerekir. Bu sayede pop\u00fclasyon parametrelerinin tahmini g\u00f6revi g\u00f6ren \u00f6rnek verilerle istatistiksel parametre hesaplamalar\u0131 yap\u0131labilmektedir.<\/p>\n<p> Temsili bir \u00f6rnek, istatistiksel \u00e7al\u0131\u015fman\u0131n ekonomik maliyetini azaltmay\u0131 m\u00fcmk\u00fcn k\u0131lar; \u00e7\u00fcnk\u00fc mant\u0131ksal olarak n\u00fcfusun bir b\u00f6l\u00fcm\u00fcn\u00fc ara\u015ft\u0131rmak, bireylerin her birini analiz etmekten daha ucuzdur. Ancak \u00f6rneklem pop\u00fclasyonu tam olarak temsil edemeyece\u011finden \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc \u00e7ok k\u00fc\u00e7\u00fck olamaz. Sonu\u00e7 olarak, temsili bir numunenin boyutu yeterli olmal\u0131, ne \u00e7ok b\u00fcy\u00fck ne de \u00e7ok k\u00fc\u00e7\u00fck olmal\u0131d\u0131r. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-obtener-una-muestra-representativa\"><\/span> Temsili bir numune nas\u0131l elde edilir<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Temsili bir numune elde etmek,<\/strong> yaln\u0131zca istatistiksel pop\u00fclasyonun bir y\u00fczdesinin se\u00e7ilmesiyle ilgili de\u011fildir; bir numunenin temsil edilebilirli\u011fi, numune alma y\u00f6ntemi, hata pay\u0131, g\u00fcven d\u00fczeyi vb. gibi \u00e7e\u015fitli fakt\u00f6rlere ba\u011fl\u0131d\u0131r.<\/p>\n<p> \u00d6ncelikle <strong>temsili bir numune elde etmek i\u00e7in uygun numune alma tekni\u011fi kullan\u0131lmal\u0131d\u0131r<\/strong> . \u00c7e\u015fitli \u00f6rnekleme t\u00fcrleri vard\u0131r ve her biri bir \u00f6rnek t\u00fcr\u00fcne uygundur. Bu nedenle, numunenin \u00f6zelliklerine ba\u011fl\u0131 olarak bir \u00f6rnekleme tekni\u011fini veya di\u011ferini kullanmak daha iyidir.<\/p>\n<p> A\u015fa\u011f\u0131daki ba\u011flant\u0131da farkl\u0131 \u00f6rnekleme t\u00fcrlerinin neler oldu\u011funu ve her durum i\u00e7in hangi \u00f6rnekleme t\u00fcr\u00fcn\u00fcn ideal oldu\u011funu g\u00f6rebilirsiniz. Bu nedenle durumunuza hangi \u00f6rnekleme t\u00fcr\u00fcn\u00fcn uygun oldu\u011funu \u00f6\u011frenmek i\u00e7in a\u015fa\u011f\u0131daki ba\u011flant\u0131y\u0131 ziyaret etmenizi \u00f6neririz. <\/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-turleri\/\">\u00d6rnekleme t\u00fcrleri nelerdir?<\/a><\/div>\n<p> Ayr\u0131ca \u00f6rnekleme hatalar\u0131 yapmaktan da ka\u00e7\u0131nman\u0131z gerekir. \u00d6rnekleme hatas\u0131, \u00f6rneklemin elde edilmesi s\u00fcrecinde, \u00f6rneklemin \u00f6zelliklerinin pop\u00fclasyonunkinden farkl\u0131 olmas\u0131na neden olan bir hatad\u0131r. Bu nedenle pop\u00fclasyon parametrelerinin \u00f6rnek veriler \u00fczerinden tahmini yanl\u0131\u015ft\u0131r. Bu nedenle hem numune alma i\u015flemine hem de se\u00e7ilen numune alma y\u00f6ntemine dikkat edilmelidir.<\/p>\n<p> \u0130kincisi, <strong>temsili bir numunenin yeterli b\u00fcy\u00fckl\u00fckte olmas\u0131 gerekir<\/strong> . Bir \u00f6rne\u011fin bir pop\u00fclasyonun \u00f6zelliklerini temsil edebilmesi i\u00e7in, \u00f6rnekteki g\u00f6zlem say\u0131s\u0131n\u0131n yeterince b\u00fcy\u00fck olmas\u0131 gerekir. \u00d6te yandan ara\u015ft\u0131rman\u0131n fiyat\u0131 y\u00fckselece\u011fi i\u00e7in \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc \u00e7ok b\u00fcy\u00fck olamaz. K\u0131sacas\u0131 ideal \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fcn\u00fc se\u00e7mek i\u00e7in temsil edilebilirlik ile \u00f6rneklem maliyeti aras\u0131nda bir denge kurulmal\u0131d\u0131r.<\/p>\n<p> Bu nedenle uygun \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fcn\u00fc hesaplamak i\u00e7in \u00e7e\u015fitli fakt\u00f6rlerin dikkate al\u0131nmas\u0131 ve ard\u0131ndan bir form\u00fcl uygulanmas\u0131 gerekir. A\u015fa\u011f\u0131daki ba\u011flant\u0131ya t\u0131klayarak numune boyutunun nas\u0131l hesapland\u0131\u011f\u0131n\u0131 g\u00f6rebilirsiniz: <\/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\/ornek-boyut\/\">\u00d6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc nas\u0131l hesaplan\u0131r<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-una-muestra-representativa\"><\/span> Temsili bir numune \u00f6rne\u011fi<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u00d6rnek olarak, bu b\u00f6l\u00fcmde temsili bir \u00f6rnek elde etmek i\u00e7in izlenecek s\u00fcreci g\u00f6rece\u011fiz, b\u00f6ylece bir pop\u00fclasyonun temsili bir \u00f6rne\u011finin nas\u0131l elde edildi\u011fini g\u00f6rebileceksiniz.<\/p>\n<ul>\n<li> 25 ila 65 ya\u015f aras\u0131 bir ki\u015finin ortalama olarak bir arabaya ne kadar para harcad\u0131\u011f\u0131n\u0131 bilmek i\u00e7in Meksika n\u00fcfusunun araba harcamalar\u0131na ili\u015fkin istatistiksel bir \u00e7al\u0131\u015fma yapmak istiyoruz. \u0130statistiksel pop\u00fclasyonun standart sapmas\u0131n\u0131n yakla\u015f\u0131k 45.000 ABD Dolar\u0131 oldu\u011funu varsayarsak ve %95 g\u00fcven d\u00fczeyinde \u00b11.000 ABD Dolar\u0131 hata marj\u0131 istersek, temsili bir \u00f6rne\u011fi nas\u0131l elde edece\u011finizi a\u00e7\u0131klay\u0131n.<\/li>\n<\/ul>\n<p> \u00d6ncelikle numunenin istenen ko\u015fullar alt\u0131nda temsili olabilmesi i\u00e7in minimum numune boyutunu hesaplamam\u0131z gerekir. Bunu yapmak i\u00e7in \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc form\u00fcl\u00fcn\u00fc uyguluyoruz:<\/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-b103e8296d1463b112f223686cc3b4de_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}\\displaystyle n&amp;=\\left(\\frac{Z_{\\alpha\/2}\\cdot\\sigma}{e}\\right)^2\\\\[2ex] n&amp;=\\left(\\frac{1,96\\cdot 45000}{1000}\\right)^2\\\\[2ex] n&amp;=7779,24 \\approx 7780 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"155\" width=\"163\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> <strong>Not:<\/strong> Bir \u00f6nceki ad\u0131m\u0131 anlamad\u0131ysan\u0131z yukar\u0131da ba\u011flant\u0131s\u0131 verilen makaledeki uygun numune boyutunun nas\u0131l hesaplanaca\u011f\u0131na ili\u015fkin ayr\u0131nt\u0131l\u0131 a\u00e7\u0131klamaya g\u00f6z atabilirsiniz.<\/p>\n<p> O halde en az 7.780 ki\u015fiye arabas\u0131n\u0131n maliyetinin ne kadar oldu\u011funu sormam\u0131z gerekiyor. Ancak Meksika \u00e7ok b\u00fcy\u00fck bir \u00fclke ve \u00e7ok say\u0131da insan var, dolay\u0131s\u0131yla insanlar\u0131 hi\u00e7bir \u015fekilde se\u00e7emiyoruz ama uygun bir \u00f6rnekleme y\u00f6ntemi uygulamam\u0131z gerekiyor.<\/p>\n<p> Bu durumda <a href=\"https:\/\/statorials.org\/tr\/kume-orneklemesi\/\">k\u00fcme \u00f6rnekleme<\/a> y\u00f6ntemini kullanabiliriz. \u00c7ok b\u00fcy\u00fck bir \u00fclke oldu\u011fu i\u00e7in her b\u00f6lgeden birka\u00e7 ki\u015finin se\u00e7ilmesi \u00e7ok zaman alacakt\u0131r. Ancak k\u00fcme \u00f6rnekleme tekni\u011fini kulland\u0131\u011f\u0131m\u0131zda, yaln\u0131zca \u00fclkenin belirli b\u00f6lgelerini rastgele se\u00e7ip daha sonra her b\u00f6lgeden belirli say\u0131da insan\u0131 rastgele se\u00e7memiz gerekiyor. b\u00f6lgeyi ve son olarak se\u00e7ilen ki\u015fileri analiz edin.<\/p>\n<p> \u00d6rne\u011fin, minimum 7.780 ki\u015fiye ihtiyac\u0131m\u0131z oldu\u011fundan, Meksika&#8217;n\u0131n sekiz b\u00f6lgesel b\u00f6lgesini rastgele se\u00e7ebilir ve her co\u011frafi b\u00f6lgeden rastgele 1.000 ki\u015fiyi se\u00e7ebiliriz. Bu sayede yeterli bir \u00f6rnekleme y\u00f6ntemi uyguluyoruz ve ayn\u0131 zamanda \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fcn\u00fcn temsili olacak kadar b\u00fcy\u00fck olmas\u0131n\u0131 sa\u011fl\u0131yoruz.<\/p>\n<p> Ayr\u0131ca anketi y\u00fcr\u00fctmek i\u00e7in kimseyi se\u00e7emeyece\u011fimizi de unutmamal\u0131y\u0131z, \u00e7\u00fcnk\u00fc bu durumda pazar ara\u015ft\u0131rmas\u0131n\u0131 yaln\u0131zca 25 ila 65 ya\u015f aras\u0131 yeti\u015fkinler aras\u0131nda yapmak istiyoruz. Bu nedenle istatistiksel \u00e7al\u0131\u015fma i\u00e7in se\u00e7ilen ki\u015filerin bu ya\u015f grubuna ait oldu\u011fundan emin olmak gerekir. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"importancia-de-una-muestra-representativa\"><\/span> Temsili bir numunenin \u00f6nemi<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Temel olarak, elde edilen sonu\u00e7lar\u0131n t\u00fcm pop\u00fclasyona uygulanabilmesi i\u00e7in <strong>istatistiksel bir ara\u015ft\u0131rma \u00f6rne\u011finin temsili olmas\u0131 \u00f6nemlidir<\/strong> . \u00c7al\u0131\u015f\u0131lan \u00f6rneklemin temsili olmamas\u0131 durumunda evrenle \u00f6rt\u00fc\u015fmeyecek sonu\u00e7lar elde edilecek ve dolay\u0131s\u0131yla hatal\u0131 sonu\u00e7lara var\u0131lacakt\u0131r.<\/p>\n<p> Ayn\u0131 \u015fekilde \u00f6rneklemin temsil edilebilirli\u011finin \u00f6nemi istatistiksel parametrelerin tahminine de yans\u0131r. Genel olarak <a href=\"https:\/\/statorials.org\/tr\/istatistiksel-parametreler\/\">istatistiksel parametre<\/a> de\u011ferlerinin pop\u00fclasyonu temsil etti\u011fi kabul edilir, ancak \u00f6rnek temsili de\u011filse istatistiksel parametreler hatal\u0131 olacakt\u0131r.<\/p>\n<p> \u00d6zetle, bir \u00f6rneklemin temsili olmas\u0131 i\u00e7in, t\u00fcm pop\u00fclasyonun \u00f6zelliklerini temsil edecek kadar b\u00fcy\u00fck olmas\u0131 gerekir; ancak ara\u015ft\u0131rma daha pahal\u0131 olaca\u011f\u0131ndan a\u015f\u0131r\u0131 derecede b\u00fcy\u00fck olamaz. Ayn\u0131 \u015fekilde numune alma y\u00f6nteminin de numunenin temsilili\u011fini sa\u011flayacak \u015fekilde uygun olmas\u0131 gerekir. Bu ko\u015fullardan herhangi birinin kar\u015f\u0131lanmamas\u0131 durumunda \u00f6rneklem temsili olmayacak ve dolay\u0131s\u0131yla ara\u015ft\u0131rma s\u0131ras\u0131nda elde edilen sonu\u00e7lar hatal\u0131 olacakt\u0131r.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bu makalede temsili \u00f6rneklemin ne oldu\u011fu ve istatistikte temsili \u00f6rneklem elde etmek i\u00e7in ne yap\u0131lmas\u0131 gerekti\u011fi a\u00e7\u0131klanmaktad\u0131r. Ayr\u0131ca temsili bir numunenin nas\u0131l elde edilece\u011fini a\u00e7\u0131klayan bir \u00f6rnek de g\u00f6rebileceksiniz. Temsili \u00f6rnek nedir? \u0130statistiklerde temsili bir \u00f6rnek , bir pop\u00fclasyondaki bireyleri yeterince temsil eden bir \u00f6rnektir. Ba\u015fka bir deyi\u015fle temsili bir \u00f6rnek, \u00f6zellikleri temsil etti\u011fi pop\u00fclasyonun [&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-246","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 Temsili \u00f6rnek nedir?<\/title>\n<meta name=\"description\" content=\"Burada temsili numunenin ne oldu\u011funu, temsili numunenin nas\u0131l elde edilece\u011fini ve temsili numune \u00f6rneklerini \u00f6\u011freneceksiniz.\" \/>\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\/tr\/temsili-ornek-1\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7 Temsili \u00f6rnek nedir?\" \/>\n<meta property=\"og:description\" content=\"Burada temsili numunenin ne oldu\u011funu, temsili numunenin nas\u0131l elde edilece\u011fini ve temsili numune \u00f6rneklerini \u00f6\u011freneceksiniz.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/temsili-ornek-1\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-08-03T16:29:13+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-b103e8296d1463b112f223686cc3b4de_l3.png\" \/>\n<meta name=\"author\" content=\"Dr.benjamin anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Yazan:\" \/>\n\t<meta name=\"twitter:data1\" content=\"Dr.benjamin anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tahmini okuma s\u00fcresi\" \/>\n\t<meta name=\"twitter:data2\" content=\"6 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/temsili-ornek-1\/\",\"url\":\"https:\/\/statorials.org\/tr\/temsili-ornek-1\/\",\"name\":\"\u25b7 Temsili \u00f6rnek nedir?\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-08-03T16:29:13+00:00\",\"dateModified\":\"2023-08-03T16:29:13+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Burada temsili numunenin ne oldu\u011funu, temsili numunenin nas\u0131l elde edilece\u011fini ve temsili numune \u00f6rneklerini \u00f6\u011freneceksiniz.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/temsili-ornek-1\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/temsili-ornek-1\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/temsili-ornek-1\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Tan\u0131t\u0131c\u0131 \u00f6rnek\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/tr\/#website\",\"url\":\"https:\/\/statorials.org\/tr\/\",\"name\":\"Statorials\",\"description\":\"\u0130statistik okuryazarl\u0131\u011f\u0131 rehberiniz!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/tr\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"tr\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\",\"name\":\"Dr.benjamin anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"tr\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Dr.benjamin anderson\"},\"description\":\"Merhaba, ben Benjamin, emekli bir istatistik profes\u00f6r\u00fc ve Statorials \u00f6\u011fretmenine d\u00f6n\u00fc\u015ft\u00fcm. \u0130statistik alan\u0131ndaki kapsaml\u0131 deneyimim ve uzmanl\u0131\u011f\u0131mla, \u00f6\u011frencilerimi Statorials arac\u0131l\u0131\u011f\u0131yla g\u00fc\u00e7lendirmek i\u00e7in bilgilerimi payla\u015fmaya can at\u0131yorum. 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