{"id":1348,"date":"2023-07-26T18:42:57","date_gmt":"2023-07-26T18:42:57","guid":{"rendered":"https:\/\/statorials.org\/tr\/pilais-izi\/"},"modified":"2023-07-26T18:42:57","modified_gmt":"2023-07-26T18:42:57","slug":"pilais-izi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/pilais-izi\/","title":{"rendered":"Pillai&#39;nin izi nedir? (tan\u0131m &amp; #038; \u00f6rnek)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/tek-yonlu-anova-durumu\/\" target=\"_blank\" rel=\"noopener\">Tek y\u00f6nl\u00fc ANOVA,<\/a> a\u00e7\u0131klay\u0131c\u0131 bir de\u011fi\u015fkenin farkl\u0131 seviyelerinin belirli <a href=\"https:\/\/statorials.org\/tr\/degiskenleri-aciklayici-yanitlar\/\" target=\"_blank\" rel=\"noopener\">yan\u0131t de\u011fi\u015fkenlerinde<\/a> istatistiksel olarak farkl\u0131 sonu\u00e7lara yol a\u00e7\u0131p a\u00e7mad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, \u00fc\u00e7 e\u011fitim d\u00fczeyinin (\u00f6nlisans, lisans, y\u00fcksek lisans) <a href=\"https:\/\/statorials.org\/tr\/p-degerleri-istatistiksel-anlamlilik\/\" target=\"_blank\" rel=\"noopener\">istatistiksel olarak farkl\u0131<\/a> y\u0131ll\u0131k kazan\u00e7lara yol a\u00e7\u0131p a\u00e7mad\u0131\u011f\u0131n\u0131 anlamak ilgimizi \u00e7ekebilir. Bu durumda bir a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenimiz ve bir yan\u0131t de\u011fi\u015fkenimiz var.<\/span><\/p>\n<p> <span style=\"color: #000000;\">MANOVA<\/span> <a href=\"https:\/\/statorials.org\/tr\/anova-ancova-manova-mancova-arasindaki-farklar\/\" target=\"_blank\" rel=\"noopener\">,<\/a> <span style=\"color: #000000;\">birden fazla yan\u0131t de\u011fi\u015fkeninin bulundu\u011fu tek y\u00f6nl\u00fc ANOVA&#8217;n\u0131n bir uzant\u0131s\u0131d\u0131r. \u00d6rne\u011fin, e\u011fitimin farkl\u0131 y\u0131ll\u0131k kazan\u00e7lara <em>ve<\/em> farkl\u0131 miktarlarda \u00f6\u011frenci borcuna yol a\u00e7\u0131p a\u00e7mad\u0131\u011f\u0131n\u0131 anlamak ilgimizi \u00e7ekebilir. Bu durumda bir a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenimiz ve iki yan\u0131t de\u011fi\u015fkenimiz var.<\/span><\/p>\n<p> <span style=\"color: #000000;\">MANOVA taraf\u0131ndan \u00fcretilen test istatistiklerinden biri <strong>Pillai izidir<\/strong> .<\/span><\/p>\n<h3> <strong><span style=\"color: #000000;\">Pillai \u0130zi nedir?<\/span><\/strong><\/h3>\n<p> <span style=\"color: #000000;\"><strong>Pillai&#8217;nin izi <em>&nbsp;<\/em><\/strong> MANOVA taraf\u0131ndan \u00fcretilen bir test istatisti\u011fidir. 0 ile 1 aras\u0131nda de\u011fi\u015fen bir de\u011ferdir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Pillai izi 1&#8217;e ne kadar yak\u0131nsa, a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenin yan\u0131t de\u011fi\u015fkenlerinin de\u011ferleri \u00fczerinde istatistiksel olarak anlaml\u0131 bir etkiye sahip oldu\u011funa dair kan\u0131t o kadar g\u00fc\u00e7l\u00fc olur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00c7o\u011funlukla V ile g\u00f6sterilen Pillai izi \u015fu \u015fekilde hesaplan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\">V = iz(H(H+E) <sup>-1<\/sup> )<\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H:<\/strong> Kareler toplam\u0131 ve \u00e7apraz \u00e7arp\u0131m matrisi hipotezi<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>E:<\/strong> Karelerin hata toplam\u0131 ve vekt\u00f6r \u00e7arp\u0131m matrisi<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bir MANOVA \u00e7al\u0131\u015ft\u0131r\u0131rken, \u00e7o\u011fu istatistik yaz\u0131l\u0131m\u0131, bir F istatisti\u011finin kaba bir yakla\u015f\u0131m\u0131n\u0131 ve buna kar\u015f\u0131l\u0131k gelen bir p de\u011ferini hesaplamak i\u00e7in Pillai izini kullan\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu p de\u011feri belirli bir anlaml\u0131l\u0131k d\u00fczeyinin alt\u0131ndaysa (yani \u03b1 = 0,05), MANOVA&#8217;n\u0131n s\u0131f\u0131r hipotezini reddederiz ve a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenin, de\u011ferlerin yan\u0131t de\u011fi\u015fkenleri \u00fczerinde anlaml\u0131 bir etkiye sahip oldu\u011fu sonucuna var\u0131r\u0131z.<\/span><\/p>\n<h3> <strong><span style=\"color: #000000;\">Pillai izi ne zaman kullan\u0131lmal\u0131?<\/span><\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Bir MANOVA \u00e7al\u0131\u015ft\u0131r\u0131ld\u0131\u011f\u0131nda \u00e7o\u011fu istatistiksel yaz\u0131l\u0131m asl\u0131nda d\u00f6rt test istatisti\u011fi \u00fcretecektir:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Pillai&#8217;nin \u0130zi<\/span><\/li>\n<li> <span style=\"color: #000000;\">Wilks&#8217;in Lambda&#8217;s\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\">Lawley-Hotelling&#8217;in izini s\u00fcr\u00fcn<\/span><\/li>\n<li> <span style=\"color: #000000;\">Roy&#8217;un En B\u00fcy\u00fck K\u00f6k\u00fc<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">MANOVA&#8217;n\u0131n varsay\u0131mlar\u0131 kar\u015f\u0131lanmad\u0131\u011f\u0131nda Pillai izinin test istatisti\u011fi olarak kullan\u0131lmas\u0131 tavsiye edilir. MANOVA&#8217;n\u0131n a\u015fa\u011f\u0131daki varsay\u0131mlar\u0131 yapt\u0131\u011f\u0131n\u0131 hat\u0131rlatmak isteriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/kalinti\/\" target=\"_blank\" rel=\"noopener\">Art\u0131klar,<\/a> ortalamalar\u0131 s\u0131f\u0131ra e\u015fit olan \u00e7ok de\u011fi\u015fkenli normal olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131n\u0131 takip eder.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Her art\u0131k grubunun varyans-kovaryans matrisleri e\u015fittir.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/istatistikte-gozlem\/\" target=\"_blank\" rel=\"noopener\">G\u00f6zlemler<\/a> ba\u011f\u0131ms\u0131zd\u0131r.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu varsay\u0131mlardan bir veya daha fazlas\u0131 ihlal edildi\u011finde Pillai izi en sa\u011flam test istatisti\u011fi olma e\u011filimindedir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Pillai izini hesaplama \u00f6rne\u011fi<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/manova-durumu\/\" target=\"_blank\" rel=\"noopener\">Bu derste<\/a> Stata&#8217;da a\u015fa\u011f\u0131daki de\u011fi\u015fkenleri kullanarak bir MANOVA ger\u00e7ekle\u015ftiriyoruz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>A\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fken:<\/strong> \u00d6\u011frenim d\u00fczeyi (\u00d6nlisans, Lisans veya Y\u00fcksek Lisans)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Yan\u0131t de\u011fi\u015fkenleri:<\/strong> Y\u0131ll\u0131k gelir, Toplam \u00f6\u011frenci kredisi borcu<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki ekran g\u00f6r\u00fcnt\u00fcs\u00fc MANOVA&#8217;n\u0131n \u00e7\u0131kt\u0131s\u0131n\u0131 g\u00f6stermektedir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/manovastata3.png\" alt=\"Stata'da MANOVA \u00e7\u0131kt\u0131s\u0131\" width=\"538\" height=\"315\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">MANOVA&#8217;n\u0131n d\u00f6rt test istatisti\u011fi \u00fcretti\u011fini unutmay\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Wilks&#8217; lambda:<\/strong> F istatisti\u011fi = 5,02, P de\u011feri = 0,0023.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Pillai izi:<\/strong> F istatisti\u011fi = 4,07, P de\u011feri = 0,0071.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Lawley-Hotelling izi:<\/strong> F istatisti\u011fi = 5,94, P de\u011feri = 0,0008.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>En b\u00fcy\u00fck Roy k\u00f6k\u00fc:<\/strong> F-\u0130statistik = 13,10, P-de\u011feri = 0,0002.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Her test istatisti\u011finin F de\u011feri de\u011fi\u015fmektedir ancak kar\u015f\u0131l\u0131k gelen her p de\u011feri 0,05&#8217;ten k\u00fc\u00e7\u00fckt\u00fcr, dolay\u0131s\u0131yla MANOVA&#8217;n\u0131n s\u0131f\u0131r hipotezini reddeder ve e\u011fitim d\u00fczeyinin y\u0131ll\u0131k gelir ve toplam \u00f6\u011frenci borcu \u00fczerinde \u00f6nemli bir etkiye sahip oldu\u011fu sonucuna var\u0131r\u0131z.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/tr\/manova-durumu\/\" target=\"_blank\" rel=\"noopener\">Stata&#8217;da MANOVA nas\u0131l yap\u0131l\u0131r?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/manova-spss\/\" target=\"_blank\" rel=\"noopener\">SPSS&#8217;de MANOVA Nas\u0131l Ger\u00e7ekle\u015ftirilir<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/manovadan-r'ye\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de MANOVA nas\u0131l ger\u00e7ekle\u015ftirilir<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tek y\u00f6nl\u00fc ANOVA, a\u00e7\u0131klay\u0131c\u0131 bir de\u011fi\u015fkenin farkl\u0131 seviyelerinin belirli yan\u0131t de\u011fi\u015fkenlerinde istatistiksel olarak farkl\u0131 sonu\u00e7lara yol a\u00e7\u0131p a\u00e7mad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in kullan\u0131l\u0131r. \u00d6rne\u011fin, \u00fc\u00e7 e\u011fitim d\u00fczeyinin (\u00f6nlisans, lisans, y\u00fcksek lisans) istatistiksel olarak farkl\u0131 y\u0131ll\u0131k kazan\u00e7lara yol a\u00e7\u0131p a\u00e7mad\u0131\u011f\u0131n\u0131 anlamak ilgimizi \u00e7ekebilir. Bu durumda bir a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenimiz ve bir yan\u0131t de\u011fi\u015fkenimiz var. MANOVA , birden fazla yan\u0131t [&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-1348","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>Pillai \u0130zi nedir? 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Daha fazlas\u0131n\u0131 bil","sameAs":["https:\/\/statorials.org\/tr"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/posts\/1348","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/comments?post=1348"}],"version-history":[{"count":0,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/posts\/1348\/revisions"}],"wp:attachment":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/media?parent=1348"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/categories?post=1348"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/tags?post=1348"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}