{"id":1233,"date":"2023-07-27T04:59:40","date_gmt":"2023-07-27T04:59:40","guid":{"rendered":"https:\/\/statorials.org\/tr\/populasyon-ve-ornek\/"},"modified":"2023-07-27T04:59:40","modified_gmt":"2023-07-27T04:59:40","slug":"populasyon-ve-ornek","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/populasyon-ve-ornek\/","title":{"rendered":"N\u00fcfus vs. \u00f6rnek: fark nedir?"},"content":{"rendered":"

<\/p>\n

\n

\u0130statistiklerde s\u0131kl\u0131kla belirli ara\u015ft\u0131rma sorular\u0131na cevap verebilmek i\u00e7in veri toplamak isteriz.<\/span><\/p>\n

\u00d6rne\u011fin \u015fu sorulara yan\u0131t vermek isteyebiliriz:<\/span><\/p>\n

1.<\/strong> Miami, Florida’da ortalama hane geliri nedir?<\/span><\/p>\n

2.<\/strong> Belirli bir kaplumba\u011fa pop\u00fclasyonunun ortalama a\u011f\u0131rl\u0131\u011f\u0131 nedir?<\/span><\/p>\n

3.<\/strong> Belirli bir il\u00e7ede ya\u015fayanlar\u0131n y\u00fczde ka\u00e7\u0131 belirli bir yasay\u0131 destekliyor?<\/span><\/p>\n

Her senaryoda, \u00f6l\u00e7mek istedi\u011fimiz t\u00fcm olas\u0131 bireysel unsurlar\u0131 temsil eden bir n\u00fcfus<\/strong> hakk\u0131ndaki soruyu yan\u0131tlamak istiyoruz.<\/span><\/p>\n

Ancak bir pop\u00fclasyondaki her bireye ili\u015fkin veri toplamak yerine, n\u00fcfusun bir b\u00f6l\u00fcm\u00fcn\u00fc temsil eden pop\u00fclasyonun bir \u00f6rne\u011fine<\/strong> ili\u015fkin veri topluyoruz.<\/span><\/p>\n

\n

N\u00fcfus<\/strong> : \u00d6l\u00e7mek istedi\u011fimiz her olas\u0131 bireysel \u00f6\u011fe.<\/span><\/p>\n

\u00d6rnek:<\/strong> N\u00fcfusun bir k\u0131sm\u0131.<\/span><\/p>\n<\/blockquote>\n

Burada \u00fc\u00e7 giri\u015f \u00f6rne\u011finde bir pop\u00fclasyona kar\u015f\u0131 bir \u00f6rnek \u00f6rne\u011fi verilmi\u015ftir.<\/span><\/p>\n

\u00d6rnek 1: Miami, Florida’da ortalama hane geliri nedir?<\/strong><\/span><\/p>\n

N\u00fcfusun<\/strong> tamam\u0131 500.000 haneden olu\u015fabilir ama toplamda sadece 2.000 hanelik bir \u00f6rneklem<\/strong> \u00fczerinden veri toplayabiliyoruz.<\/span> <\/p>\n

\"N\u00fcfus<\/p>\n

2. Belirli bir kaplumba\u011fa pop\u00fclasyonunun ortalama a\u011f\u0131rl\u0131\u011f\u0131 nedir?<\/strong><\/span><\/p>\n

Toplam pop\u00fclasyonda<\/strong> 800 kaplumba\u011fa bulunabilir ancak yaln\u0131zca 30 kaplumba\u011fadan olu\u015fan bir \u00f6rnekle<\/strong> ilgili veri toplayabildik.<\/span> <\/p>\n

\"Pop\u00fclasyon<\/p>\n

3. Belirli bir il\u00e7ede ya\u015fayanlar\u0131n y\u00fczde ka\u00e7\u0131 belirli bir yasay\u0131 destekliyor?<\/strong><\/span><\/p>\n

Toplam n\u00fcfus<\/strong> 50.000 olabilir ama biz ancak 1.000 ki\u015filik bir \u00f6rneklem<\/strong> \u00fczerinden veri toplayabiliyoruz.<\/span><\/p>\n

\"N\u00fcfus<\/span><\/p>\n

Numuneleri neden kullanmal\u0131s\u0131n\u0131z?<\/strong><\/span><\/h3>\n

Genel olarak pop\u00fclasyonun tamam\u0131 yerine \u00f6rnekler \u00fczerinden veri toplamam\u0131z\u0131n \u00e7e\u015fitli nedenleri vard\u0131r:<\/span><\/p>\n

1 . N\u00fcfusun tamam\u0131na ili\u015fkin veri toplamak \u00e7ok uzun s\u00fcr\u00fcyor<\/span><\/strong> . \u00d6rne\u011fin, Miami, Florida’da ortalama hane gelirini bilmek istiyorsak, her hanenin gelirinin tahsil edilmesi aylar hatta y\u0131llar alabilir. T\u00fcm bu verileri toplad\u0131\u011f\u0131m\u0131zda pop\u00fclasyon de\u011fi\u015fmi\u015f olabilir veya ilgilendi\u011fimiz ara\u015ft\u0131rma sorusu art\u0131k mevcut olmayabilir.<\/span><\/p>\n

2. N\u00fcfusun tamam\u0131na ili\u015fkin veri toplamak \u00e7ok pahal\u0131d\u0131r.<\/strong> Bir pop\u00fclasyondaki her bir birey i\u00e7in veri toplamak genellikle \u00e7ok pahal\u0131 oldu\u011fundan, bunun yerine bir \u00f6rnek \u00fczerinden veri toplamay\u0131 se\u00e7iyoruz.<\/span><\/p>\n

3. N\u00fcfusun tamam\u0131na ili\u015fkin veri toplamak m\u00fcmk\u00fcn de\u011fildir.<\/strong> \u00c7o\u011fu durumda pop\u00fclasyondaki her<\/em> bireye ili\u015fkin veri toplamak m\u00fcmk\u00fcn de\u011fildir. \u00d6rne\u011fin, belirli bir pop\u00fclasyondaki her kaplumba\u011fay\u0131 bulmak ve tartmak son derece zor olabilir.<\/span><\/p>\n

\u00d6rnekler \u00fczerinden veri toplayarak, belirli bir pop\u00fclasyon hakk\u0131nda \u00e7ok daha h\u0131zl\u0131 ve daha d\u00fc\u015f\u00fck maliyetle bilgi toplayabiliyoruz.<\/span><\/p>\n

Ve e\u011fer \u00f6rne\u011fimiz pop\u00fclasyonu temsil<\/a> ediyorsa, o zaman bir \u00f6rnekten elde edilen sonu\u00e7lar\u0131 y\u00fcksek bir g\u00fcven d\u00fczeyiyle daha b\u00fcy\u00fck bir pop\u00fclasyona genelleyebiliriz.<\/span><\/p>\n

Temsili \u00f6rneklerin \u00f6nemi<\/strong><\/span><\/h3>\n

Bir pop\u00fclasyondan \u00f6rnek toplad\u0131\u011f\u0131m\u0131zda ideal olarak \u00f6rne\u011fin pop\u00fclasyonumuzun “mini versiyonuna” benzemesini isteriz.<\/span><\/p>\n

\u00d6rne\u011fin toplam 5.000 \u00f6\u011frencinin bulundu\u011fu belirli bir okul b\u00f6lgesindeki \u00f6\u011frencilerin film tercihlerini anlamak istedi\u011fimizi varsayal\u0131m. Her \u00f6\u011frenciye ayr\u0131 ayr\u0131 anket yapmak \u00e7ok uzun s\u00fcrece\u011fi i\u00e7in bunun yerine 100 \u00f6\u011frenciden olu\u015fan bir \u00f6rnek al\u0131p onlara tercihlerini sorabiliriz.<\/span><\/p>\n

Genel \u00f6\u011frenci n\u00fcfusunun %50’si k\u0131z ve %50’si erkek ise, \u00f6rneklemimiz %90’\u0131 erkek ve yaln\u0131zca %10’u k\u0131zlardan olu\u015fuyorsa temsili olmayacakt\u0131r.<\/span> <\/p>\n

\"Bir<\/p>\n

Veya genel n\u00fcfus e\u015fit oranda birinci s\u0131n\u0131f \u00f6\u011frencileri, ikinci s\u0131n\u0131f \u00f6\u011frencileri, \u00fc\u00e7\u00fcnc\u00fc s\u0131n\u0131f \u00f6\u011frencileri ve son s\u0131n\u0131f \u00f6\u011frencilerinden olu\u015fuyorsa, o zaman \u00f6rneklemimiz yaln\u0131zca birinci s\u0131n\u0131f \u00f6\u011frencilerini i\u00e7eriyorsa temsili olmayacakt\u0131r.<\/span> <\/p>\n

\"\"<\/p>\n

\u00d6rnekteki bireylerin \u00f6zellikleri genel pop\u00fclasyondaki bireylerin \u00f6zellikleriyle yak\u0131ndan e\u015fle\u015fiyorsa, \u00f6rnek bir pop\u00fclasyonu temsil ediyor demektir.<\/span><\/p>\n

Bu ger\u00e7ekle\u015fti\u011finde, \u00f6rneklemden elde edilen sonu\u00e7lar\u0131 genel n\u00fcfusa g\u00fcvenle genelleyebiliriz.<\/span><\/p>\n

\u00d6rnekler nas\u0131l al\u0131n\u0131r?<\/strong><\/span><\/h3>\n

\u00d6rnek pop\u00fclasyonlar\u0131 elde etmek i\u00e7in kullanabilece\u011fimizbir\u00e7ok farkl\u0131 y\u00f6ntem<\/a> vard\u0131r.<\/span><\/p>\n

Temsili bir numune elde etme \u015fans\u0131n\u0131 en \u00fcst d\u00fczeye \u00e7\u0131karmak i\u00e7in \u00fc\u00e7 y\u00f6ntemden birini kullanabiliriz:<\/span><\/p>\n

Basit rastgele \u00f6rnekleme:<\/strong> rastgele say\u0131 \u00fcreteci veya rastgele se\u00e7im ara\u00e7lar\u0131 kullan\u0131larak bireylerin rastgele se\u00e7ilmesi.<\/span><\/p>\n

Sistematik rastgele \u00f6rnekleme:<\/strong> Bir pop\u00fclasyonun her bir \u00fcyesini belirli bir s\u0131raya koyun. Rastgele bir ba\u015flang\u0131\u00e7 noktas\u0131 se\u00e7in ve numunenin par\u00e7as\u0131 olacak n \u00fcyeden<\/sup> birini se\u00e7in.<\/span><\/p>\n

Tabakal\u0131 rastgele \u00f6rnekleme:<\/strong> Bir pop\u00fclasyonun gruplara b\u00f6l\u00fcnmesi. \u00d6rneklemin bir par\u00e7as\u0131 olmak i\u00e7in her gruptan rastgele birka\u00e7 \u00fcye se\u00e7in.<\/span><\/p>\n

Bu y\u00f6ntemlerin her birinde pop\u00fclasyondaki her bireyin \u00f6rne\u011fe dahil olma olas\u0131l\u0131\u011f\u0131 e\u015fittir. Bu, pop\u00fclasyonun “mini versiyonu” olan bir \u00f6rnek elde etme \u015fans\u0131n\u0131 en \u00fcst d\u00fczeye \u00e7\u0131kar\u0131r.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"

\u0130statistiklerde s\u0131kl\u0131kla belirli ara\u015ft\u0131rma sorular\u0131na cevap verebilmek i\u00e7in veri toplamak isteriz. \u00d6rne\u011fin \u015fu sorulara yan\u0131t vermek isteyebiliriz: 1. Miami, Florida’da ortalama hane geliri nedir? 2. Belirli bir kaplumba\u011fa pop\u00fclasyonunun ortalama a\u011f\u0131rl\u0131\u011f\u0131 nedir? 3. Belirli bir il\u00e7ede ya\u015fayanlar\u0131n y\u00fczde ka\u00e7\u0131 belirli bir yasay\u0131 destekliyor? Her senaryoda, \u00f6l\u00e7mek istedi\u011fimiz t\u00fcm olas\u0131 bireysel unsurlar\u0131 temsil eden bir n\u00fcfus […]<\/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-1233","post","type-post","status-publish","format-standard","hentry","category-rehber"],"yoast_head":"\nN\u00fcfus vs. \u00f6rnek: fark nedir?<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, birka\u00e7 \u00f6rnek de dahil olmak \u00fczere bir \u00f6rnek ile pop\u00fclasyon aras\u0131ndaki fark\u0131n h\u0131zl\u0131 bir a\u00e7\u0131klamas\u0131 sa\u011flanmaktad\u0131r.\" \/>\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\/populasyon-ve-ornek\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"N\u00fcfus vs. \u00f6rnek: fark nedir?\" \/>\n<meta property=\"og:description\" content=\"Bu e\u011fitimde, birka\u00e7 \u00f6rnek de dahil olmak \u00fczere bir \u00f6rnek ile pop\u00fclasyon aras\u0131ndaki fark\u0131n h\u0131zl\u0131 bir a\u00e7\u0131klamas\u0131 sa\u011flanmaktad\u0131r.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/populasyon-ve-ornek\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-27T04:59:40+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/pop_vs_sample1.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=\"4 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/populasyon-ve-ornek\/\",\"url\":\"https:\/\/statorials.org\/tr\/populasyon-ve-ornek\/\",\"name\":\"N\u00fcfus vs. \u00f6rnek: fark nedir?\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-27T04:59:40+00:00\",\"dateModified\":\"2023-07-27T04:59:40+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Bu e\u011fitimde, birka\u00e7 \u00f6rnek de dahil olmak \u00fczere bir \u00f6rnek ile pop\u00fclasyon aras\u0131ndaki fark\u0131n h\u0131zl\u0131 bir a\u00e7\u0131klamas\u0131 sa\u011flanmaktad\u0131r.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/populasyon-ve-ornek\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/populasyon-ve-ornek\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/populasyon-ve-ornek\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"N\u00fcfus vs. \u00f6rnek: fark nedir?\"}]},{\"@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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