{"id":208,"date":"2023-08-04T04:59:08","date_gmt":"2023-08-04T04:59:08","guid":{"rendered":"https:\/\/statorials.org\/tr\/gruplandirilmis-veriler\/"},"modified":"2023-08-04T04:59:08","modified_gmt":"2023-08-04T04:59:08","slug":"gruplandirilmis-veriler","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/gruplandirilmis-veriler\/","title":{"rendered":"Grupland\u0131r\u0131lm\u0131\u015f veriler"},"content":{"rendered":"<p>Bu makalede, grupland\u0131r\u0131lm\u0131\u015f verilerin ne oldu\u011fu ve verilerin nas\u0131l grupland\u0131r\u0131ld\u0131\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r. Ek olarak, verilerin aral\u0131klara g\u00f6re grupland\u0131r\u0131ld\u0131\u011f\u0131 \u00e7\u00f6z\u00fclm\u00fc\u015f bir al\u0131\u015ft\u0131rma bulacaks\u0131n\u0131z. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-son-los-datos-agrupados\"><\/span> Grupland\u0131r\u0131lm\u0131\u015f veriler nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0130statistiklerde, <strong>binned veriler<\/strong> aral\u0131klarla grupland\u0131r\u0131lm\u0131\u015f verilerdir. Ba\u015fka bir deyi\u015fle grupland\u0131r\u0131lm\u0131\u015f veriler, birlikte \u00e7al\u0131\u015f\u0131labilecek \u015fekilde d\u00fczenli aral\u0131klarla toplanan verilerdir.<\/p>\n<p> Yani bir istatistiksel veri k\u00fcmesi grupland\u0131r\u0131l\u0131rken farkl\u0131 aral\u0131klara ayr\u0131l\u0131r, b\u00f6ylece her veri par\u00e7as\u0131 yaln\u0131zca bir aral\u0131\u011fa ait olabilir.<\/p>\n<p> K\u0131saca istatistikte veri k\u00fcmeleme, birden fazla verinin birlikte analiz edilmesine olanak tan\u0131r, b\u00f6ylece belirli bir aral\u0131kta gruplanan veriler tek bir veri par\u00e7as\u0131 gibi ele al\u0131n\u0131r. Ayr\u0131ca, \u00f6rnek \u00e7ok b\u00fcy\u00fck oldu\u011funda veri havuzu olu\u015fturma \u00e7ok kullan\u0131\u015fl\u0131d\u0131r. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-datos-agrupados\"><\/span> Grupland\u0131r\u0131lm\u0131\u015f verilere \u00f6rnek<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Grupland\u0131r\u0131lm\u0131\u015f verilerin tan\u0131m\u0131na bak\u0131ld\u0131\u011f\u0131nda, a\u015fa\u011f\u0131da bir veri k\u00fcmesinin farkl\u0131 aral\u0131klarla nas\u0131l grupland\u0131r\u0131ld\u0131\u011f\u0131na dair somut bir \u00f6rnek verilmi\u015ftir.<\/p>\n<ul>\n<li> 50 farkl\u0131 ki\u015fiden olu\u015fan \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc \u00f6l\u00e7\u00fcld\u00fc ve t\u00fcm de\u011ferler a\u015fa\u011f\u0131daki veri tablosuna kaydedildi. Veri k\u00fcmesini aral\u0131klar halinde grupland\u0131r\u0131n, ard\u0131ndan verilerin grafi\u011fini \u00e7izin. <\/li>\n<\/ul>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/table-de-donnees-exemple-hauteurs-50.png\" alt=\"\" class=\"wp-image-2658\" width=\"278\" height=\"308\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> \u00d6ncelikle verileri aral\u0131klara ay\u0131rmam\u0131z gerekiyor. Bunun i\u00e7in bir\u00e7ok y\u00f6ntem vard\u0131r, ancak ideal aral\u0131k say\u0131s\u0131n\u0131 hesaplaman\u0131za izin verdi\u011fi i\u00e7in en \u00e7ok kullan\u0131lan Sturges kural\u0131d\u0131r: <\/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-9929b0c8f1f7cdf5a6160c07e0205c46_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}c=1+\\log_2(N)\\\\[2ex]c=1+\\log_2(50)\\\\[2ex]c=1+5,64\\\\[2ex]c=6,64\\\\[2ex]c\\approx 7\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"163\" width=\"123\" style=\"vertical-align: 0px;\"><\/p>\n<\/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\/sturges-kural-1\/\">Sturges kural\u0131n\u0131n form\u00fcl\u00fc<\/a><\/div>\n<p> Bu y\u00fczden verileri yedi farkl\u0131 aral\u0131\u011fa ay\u0131rmam\u0131z gerekiyor. Art\u0131k her aral\u0131\u011f\u0131n sahip olmas\u0131 gereken geni\u015fli\u011fi bilmemiz gerekiyor. Bunu yapmak i\u00e7in, maksimum de\u011feri eksi minimum de\u011feri toplam aral\u0131k say\u0131s\u0131na b\u00f6lmeniz yeterlidir:<\/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-d2262a449f1f5c4b97b56a42634f5c96_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a=\\cfrac{\\text{valor m\\'aximo}-\\text{valor m\\'inimo}}{c}=\\cfrac{205-145}{7}=8,57\\approx 9\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"455\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> K\u0131sacas\u0131 genli\u011fi 9 olan 7 aral\u0131k olmas\u0131 gerekir, dolay\u0131s\u0131yla Sturges kural\u0131na g\u00f6re hesaplanan aral\u0131klar 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-99799593eebc0e84d41d373a87702a19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"[145,154)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"70\" style=\"vertical-align: -5px;\"><\/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-0462d79f704bce614d9809cae68048d8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"[154,163)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"70\" style=\"vertical-align: -5px;\"><\/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-5f641927f9e99b65d4110400e0b179ef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"[163,172)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"70\" style=\"vertical-align: -5px;\"><\/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-c72d71a970f7f0015b23148d661df394_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"[172,181)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"70\" style=\"vertical-align: -5px;\"><\/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-9220265d8613852762ac5390aa753bce_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"[181,190)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"70\" style=\"vertical-align: -5px;\"><\/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-3a009436f79f59d54aff2e6eec655a8c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"[190,199)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"70\" style=\"vertical-align: -5px;\"><\/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-7c6484fb09d31cd972ce7e82c58d7832_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"[199,208)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"70\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Aral\u0131klar\u0131 hesaplad\u0131ktan sonra, bir veri par\u00e7as\u0131n\u0131n her aral\u0131kta ka\u00e7 kez g\u00f6r\u00fcnd\u00fc\u011f\u00fcn\u00fc sayar\u0131z ve grupland\u0131r\u0131lm\u0131\u015f verilerle bir tablo olu\u015ftururuz: <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/regle-de-sturges-tableau-de-frequences.png\" alt=\"\" class=\"wp-image-2664\" width=\"196\" height=\"271\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> Grupland\u0131r\u0131lm\u0131\u015f verilerden (g\u00f6receli frekans, k\u00fcm\u00fclatif frekans vb.) daha fazla frekans t\u00fcr\u00fcn\u00fcn hesaplanabilece\u011fini unutmay\u0131n. Grupland\u0131r\u0131lm\u0131\u015f verilerle eksiksiz bir s\u0131kl\u0131k tablosunun nas\u0131l olu\u015fturulaca\u011f\u0131n\u0131 g\u00f6rmek i\u00e7in buray\u0131 t\u0131klay\u0131n: <\/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\/frekans-tablosu\/\">Frekans tablosu nas\u0131l yap\u0131l\u0131r<\/a><\/div>\n<p> Son olarak, her aral\u0131\u011f\u0131n s\u0131kl\u0131\u011f\u0131n\u0131 g\u00f6steren tablodan, bir histogram halinde grupland\u0131r\u0131lm\u0131\u015f verilerin grafi\u011fini \u00e7izebiliriz. <\/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\/histogramme-regle-sturges.png\" alt=\"Sturges kural histogram\u0131, istatistikler\" class=\"wp-image-2665\" width=\"512\" height=\"330\" srcset=\"\" sizes=\"auto, \"><\/figure>\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\/histogram\/\">Histogram nas\u0131l yap\u0131l\u0131r<\/a><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"datos-agrupados-y-no-agrupados\"><\/span> Grupland\u0131r\u0131lm\u0131\u015f ve gruplanmam\u0131\u015f veriler<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Grupland\u0131r\u0131lmam\u0131\u015f veriler,<\/strong> aral\u0131klara ayr\u0131lmam\u0131\u015f ancak her de\u011fer ayr\u0131 ayr\u0131 incelenen verilerdir.<\/p>\n<p> Yukar\u0131da \u00e7\u00f6z\u00fcmlenen \u00f6rne\u011fi takip edersek, verileri gruplamam\u0131\u015f olsayd\u0131k her de\u011ferin s\u0131kl\u0131\u011f\u0131n\u0131 bulmam\u0131z gerekecekti. Yani 158, 165, 174 vb. de\u011ferinin ka\u00e7 kat\u0131 oldu\u011funu hesaplamam\u0131z gerekirdi. Tekrarlan\u0131r. Ancak bu durumda verileri aral\u0131klara g\u00f6re gruplamak daha iyi oldu \u00e7\u00fcnk\u00fc elimizde \u00e7ok fazla veri vard\u0131 ve \u00fcstelik bir\u00e7ok de\u011fer de benzerdi.<\/p>\n<p> Bu nedenle istatistiksel bir \u00e7al\u0131\u015fma s\u0131ras\u0131nda, hesaplamalar yap\u0131lmadan \u00f6nce verilerin aral\u0131klara g\u00f6re gruplan\u0131p grupland\u0131r\u0131lmayaca\u011f\u0131na karar verilmesi, ara\u015ft\u0131rman\u0131n geri kalan\u0131n\u0131 belirleyece\u011fi i\u00e7in \u00f6nemlidir. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfcuando-se-deben-agrupar-los-datos\"><\/span> Veriler ne zaman konsolide edilmelidir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Genel olarak de\u011fi\u015fken s\u00fcrekli oldu\u011funda veriler aral\u0131klar halinde grupland\u0131r\u0131lmal\u0131d\u0131r. De\u011fi\u015fken s\u00fcrekli ise normalde bir\u00e7ok de\u011fere sahibiz ve bunlar birbirine \u00e7ok yak\u0131n oldu\u011fundan \u00e7al\u0131\u015fmay\u0131 basitle\u015ftirmek i\u00e7in aral\u0131klar halinde grupland\u0131r\u0131labilirler. <\/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\/surekli-degisken\/\">S\u00fcrekli de\u011fi\u015fken nedir?<\/a><\/div>\n<p> Mant\u0131ksal olarak de\u011fi\u015fken s\u00fcrekli olmasa bile, elimizde \u00e7ok fazla veri varsa aral\u0131klar halinde grupland\u0131r\u0131labilir, bu da istatistiksel analizi kolayla\u015ft\u0131r\u0131r. Ancak genel olarak verileri grupland\u0131rman\u0131n kriteri de\u011fi\u015fkenin t\u00fcr\u00fcd\u00fcr: De\u011fi\u015fken s\u00fcrekli ise veriler genellikle aral\u0131klara ayr\u0131l\u0131r.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bu makalede, grupland\u0131r\u0131lm\u0131\u015f verilerin ne oldu\u011fu ve verilerin nas\u0131l grupland\u0131r\u0131ld\u0131\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r. Ek olarak, verilerin aral\u0131klara g\u00f6re grupland\u0131r\u0131ld\u0131\u011f\u0131 \u00e7\u00f6z\u00fclm\u00fc\u015f bir al\u0131\u015ft\u0131rma bulacaks\u0131n\u0131z. Grupland\u0131r\u0131lm\u0131\u015f veriler nedir? \u0130statistiklerde, binned veriler aral\u0131klarla grupland\u0131r\u0131lm\u0131\u015f verilerdir. Ba\u015fka bir deyi\u015fle grupland\u0131r\u0131lm\u0131\u015f veriler, birlikte \u00e7al\u0131\u015f\u0131labilecek \u015fekilde d\u00fczenli aral\u0131klarla toplanan verilerdir. Yani bir istatistiksel veri k\u00fcmesi grupland\u0131r\u0131l\u0131rken farkl\u0131 aral\u0131klara ayr\u0131l\u0131r, b\u00f6ylece her veri par\u00e7as\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-208","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 Grupland\u0131r\u0131lm\u0131\u015f veriler (istatistikler)<\/title>\n<meta name=\"description\" content=\"Burada grupland\u0131r\u0131lm\u0131\u015f verilerin ne oldu\u011funu, verilerin nas\u0131l grupland\u0131r\u0131ld\u0131\u011f\u0131n\u0131 (\u00f6rnek) ve bunun ne zaman yap\u0131laca\u011f\u0131n\u0131 \u00f6\u011freneceksiniz.\" \/>\n<meta name=\"robots\" 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