{"id":3251,"date":"2023-07-18T11:22:39","date_gmt":"2023-07-18T11:22:39","guid":{"rendered":"https:\/\/statorials.org\/tr\/bosluk-acikliyor\/"},"modified":"2023-07-18T11:22:39","modified_gmt":"2023-07-18T11:22:39","slug":"bosluk-acikliyor","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/bosluk-acikliyor\/","title":{"rendered":"Varyansla ne a\u00e7\u0131klan\u0131r? (tan\u0131m &amp; #038; \u00f6rnek)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>A\u00e7\u0131klanan varyans<\/strong> (bazen &#8220;a\u00e7\u0131klanan varyasyon&#8221; olarak da adland\u0131r\u0131l\u0131r), bir modeldeki yan\u0131t de\u011fi\u015fkeninin, modelin yorday\u0131c\u0131 de\u011fi\u015fken(ler)i taraf\u0131ndan a\u00e7\u0131klanabilen varyans\u0131n\u0131 ifade eder.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir modelin a\u00e7\u0131klanan varyans\u0131 ne kadar y\u00fcksek olursa, modelin a\u00e7\u0131klayabildi\u011fi verilerdeki varyasyon da o kadar fazla olur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u00e7\u0131klanan varyans iki farkl\u0131 istatistiksel modelin sonu\u00e7lar\u0131nda g\u00f6r\u00fclmektedir:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. ANOVA:<\/strong> \u00fc\u00e7 veya daha fazla ba\u011f\u0131ms\u0131z grubun ortalamalar\u0131n\u0131 kar\u015f\u0131la\u015ft\u0131rmak i\u00e7in kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2. Regresyon:<\/strong> Bir veya daha fazla \u00f6ng\u00f6r\u00fcc\u00fc de\u011fi\u015fken ile bir yan\u0131t de\u011fi\u015fkeni aras\u0131ndaki ili\u015fkiyi \u00f6l\u00e7mek i\u00e7in kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnekler, bu y\u00f6ntemlerin her birindeki art\u0131k varyans\u0131n nas\u0131l yorumlanaca\u011f\u0131n\u0131 g\u00f6stermektedir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Not<\/strong> : A\u00e7\u0131klanan varyans\u0131n tam tersi, <a href=\"https:\/\/statorials.org\/tr\/artik-varyans\/\" target=\"_blank\" rel=\"noopener\">art\u0131k varyans<\/a> olarak adland\u0131r\u0131l\u0131r.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>ANOVA modellerinde a\u00e7\u0131klanan varyans<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Bir ANOVA (\u201cvaryans analizi\u201d) modelini her yerle\u015ftirdi\u011fimizde, a\u015fa\u011f\u0131dakine benzeyen bir ANOVA tablosu elde ederiz:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-27557 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/explique1-1.jpg\" alt=\"\" width=\"655\" height=\"152\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">A\u00e7\u0131klanan varyans, <a href=\"https:\/\/statorials.org\/tr\/gruplar-arasindaki-varyasyonun-novasinda\/\" target=\"_blank\" rel=\"noopener\">gruplar aras\u0131 varyasyon<\/a> i\u00e7in SS (\u201ckareler toplam\u0131\u201d) s\u00fctununda bulunur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Yukar\u0131daki ANOVA modelinde a\u00e7\u0131klanan varyans\u0131n 192,2 oldu\u011funu g\u00f6r\u00fcyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u00e7\u0131klanan bu varyans\u0131n &#8220;y\u00fcksek&#8221; olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in gruplar i\u00e7i ortalama kareler toplam\u0131n\u0131 ve gruplar aras\u0131 kareler ortalamas\u0131n\u0131 hesaplayabilir ve ikisi aras\u0131ndaki oran\u0131 bulabiliriz; bu oran ANOVA tablosunda genel F de\u011ferini verir.<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">F = MS <sub>girer<\/sub> \/ MS <sub>girer<\/sub><\/span><\/li>\n<li> <span style=\"color: #000000;\">F = 96,1 \/ 40,76296<\/span><\/li>\n<li> <span style=\"color: #000000;\">F = 2,357<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Yukar\u0131daki ANOVA tablosunda F de\u011feri 2,357 ve buna kar\u015f\u0131l\u0131k gelen p de\u011feri 0,113848&#8217;dir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu p de\u011feri \u03b1 = 0,05&#8217;ten k\u00fc\u00e7\u00fck olmad\u0131\u011f\u0131ndan <a href=\"https:\/\/statorials.org\/tr\/anova-icin-sifir-hipotezi\/\" target=\"_blank\" rel=\"noopener\">ANOVA&#8217;n\u0131n s\u0131f\u0131r hipotezini<\/a> reddetmek i\u00e7in yeterli kan\u0131t\u0131m\u0131z yok.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu, kar\u015f\u0131la\u015ft\u0131rd\u0131\u011f\u0131m\u0131z gruplar aras\u0131ndaki ortalama fark\u0131n \u00f6nemli \u00f6l\u00e7\u00fcde farkl\u0131 oldu\u011funu s\u00f6ylemek i\u00e7in yeterli kan\u0131ta sahip olmad\u0131\u011f\u0131m\u0131z anlam\u0131na geliyor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu bize ANOVA modelinde a\u00e7\u0131klanan varyans\u0131n a\u00e7\u0131klanamayan varyansa g\u00f6re k\u00fc\u00e7\u00fck oldu\u011funu g\u00f6sterir.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Regresyon modellerinde a\u00e7\u0131klanan varyans<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Bir regresyon modelinde, a\u00e7\u0131klanan varyans <strong>R-kare<\/strong> olarak \u00f6zetlenir ve genellikle <sup>R2<\/sup> olarak yaz\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu de\u011fer, modeldeki yorday\u0131c\u0131 de\u011fi\u015fken(ler) taraf\u0131ndan a\u00e7\u0131klanabilen yan\u0131t de\u011fi\u015fkenindeki varyans\u0131n oran\u0131n\u0131 temsil eder.<\/span><\/p>\n<p> <span style=\"color: #000000;\">R karenin de\u011feri 0&#8217;dan \u015furaya kadar de\u011fi\u015febilir:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>0<\/strong> de\u011feri, yan\u0131t de\u011fi\u015fkeninin yorday\u0131c\u0131 de\u011fi\u015fken(ler) taraf\u0131ndan hi\u00e7bir \u015fekilde a\u00e7\u0131klanamayaca\u011f\u0131n\u0131 g\u00f6sterir.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>1<\/strong> de\u011feri, yan\u0131t de\u011fi\u015fkeninin yorday\u0131c\u0131 de\u011fi\u015fken(ler) taraf\u0131ndan hatas\u0131z olarak m\u00fckemmel bir \u015fekilde a\u00e7\u0131klanabilece\u011fini g\u00f6sterir.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bir regresyon modelini uydurdu\u011fumuzda genellikle a\u015fa\u011f\u0131dakine benzer bir sonu\u00e7 elde ederiz:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-27558 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/explique2.jpg\" alt=\"\" width=\"618\" height=\"405\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">A\u00e7\u0131klanan varyans\u0131n <strong>168,5976<\/strong> , toplam varyans\u0131n ise <strong>174,5<\/strong> oldu\u011funu g\u00f6r\u00fcyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu de\u011ferleri kullanarak bu regresyon modelinin R-kare de\u011ferini \u015fu \u015fekilde hesaplayabiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">R kare: Regresyon SS \/ Toplam SS<\/span><\/li>\n<li> <span style=\"color: #000000;\">R kare: 168,5976 \/ 174,5<\/span><\/li>\n<li> <span style=\"color: #000000;\">R kare: <strong>0,966<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu modelin R-kare de\u011ferinin 1&#8217;e yak\u0131n olmas\u0131 modelde a\u00e7\u0131klanan varyans\u0131n olduk\u00e7a y\u00fcksek oldu\u011funu g\u00f6stermektedir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ba\u015fka bir deyi\u015fle, model, yan\u0131t de\u011fi\u015fkenindeki de\u011fi\u015fimi a\u00e7\u0131klamak i\u00e7in yorday\u0131c\u0131 de\u011fi\u015fkenleri kullanma konusunda iyi bir i\u015f \u00e7\u0131karabilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u0130lgili:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/iyi-r-kare-degeri\/\" target=\"_blank\" rel=\"noopener\">\u0130yi bir R-kare de\u011feri nedir?<\/a><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>A\u00e7\u0131klanan varyans (bazen &#8220;a\u00e7\u0131klanan varyasyon&#8221; olarak da adland\u0131r\u0131l\u0131r), bir modeldeki yan\u0131t de\u011fi\u015fkeninin, modelin yorday\u0131c\u0131 de\u011fi\u015fken(ler)i taraf\u0131ndan a\u00e7\u0131klanabilen varyans\u0131n\u0131 ifade eder. Bir modelin a\u00e7\u0131klanan varyans\u0131 ne kadar y\u00fcksek olursa, modelin a\u00e7\u0131klayabildi\u011fi verilerdeki varyasyon da o kadar fazla olur. A\u00e7\u0131klanan varyans iki farkl\u0131 istatistiksel modelin sonu\u00e7lar\u0131nda g\u00f6r\u00fclmektedir: 1. ANOVA: \u00fc\u00e7 veya daha fazla ba\u011f\u0131ms\u0131z grubun ortalamalar\u0131n\u0131 kar\u015f\u0131la\u015ft\u0131rmak [&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-3251","post","type-post","status-publish","format-standard","hentry","category-rehber"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Varyansla ne a\u00e7\u0131klan\u0131r? 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