{"id":1016,"date":"2023-07-27T23:50:18","date_gmt":"2023-07-27T23:50:18","guid":{"rendered":"https:\/\/statorials.org\/tr\/fi-katsayisi\/"},"modified":"2023-07-27T23:50:18","modified_gmt":"2023-07-27T23:50:18","slug":"fi-katsayisi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/fi-katsayisi\/","title":{"rendered":"Phi katsay\u0131s\u0131: tan\u0131m ve \u00f6rnekler"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Phi katsay\u0131s\u0131<\/strong> (bazen <em>ortalama kare olas\u0131l\u0131k katsay\u0131s\u0131<\/em> olarak da adland\u0131r\u0131l\u0131r), iki ikili de\u011fi\u015fken aras\u0131ndaki ili\u015fkinin bir \u00f6l\u00e7\u00fcs\u00fcd\u00fcr.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130ki rastgele de\u011fi\u015fken <em>x<\/em> ve <em>y<\/em> i\u00e7in verilen 2\u00d72&#8217;lik bir tablo i\u00e7in:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-10491 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/phicoef1.png\" alt=\"\" width=\"160\" height=\"155\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Phi katsay\u0131s\u0131 \u015fu \u015fekilde hesaplanabilir:<\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">\u03a6 = (AD-BC) \/ \u221a <span style=\"text-decoration: overline;\">(A+B)(C+D)(A+C)(B+D)<\/span><\/span><\/strong><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek: Phi katsay\u0131s\u0131n\u0131n hesaplanmas\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Cinsiyetin siyasi parti tercihiyle ili\u015fkili olup olmad\u0131\u011f\u0131n\u0131 bilmek istedi\u011fimizi varsayal\u0131m. 25 se\u00e7menden olu\u015fan basit rastgele bir \u00f6rneklem al\u0131yoruz ve onlara siyasi parti tercihlerini soruyoruz. A\u015fa\u011f\u0131daki tabloda anketin sonu\u00e7lar\u0131 sunulmaktad\u0131r:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-10492 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/phicoef2.png\" alt=\"Phi katsay\u0131s\u0131n\u0131n hesaplanmas\u0131na \u00f6rnek\" width=\"175\" height=\"178\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">\u0130ki de\u011fi\u015fken aras\u0131ndaki Phi katsay\u0131s\u0131n\u0131 \u015fu \u015fekilde hesaplayabiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u03a6 = (4*4-9*8) \/ \u221a <span style=\"text-decoration: overline;\">(4+9)(8+4)(4+8)(9+4)<\/span> = (16-72) \/ \u221a <span style=\"text-decoration: overline;\">24336<\/span> = <strong>-0,3589<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><em><strong>Not:<\/strong> Bunu Phi katsay\u0131s\u0131 hesaplay\u0131c\u0131s\u0131n\u0131 kullanarak da hesaplayabilirdik.<\/em><\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Phi katsay\u0131s\u0131 nas\u0131l yorumlan\u0131r?<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Pearson korelasyon katsay\u0131s\u0131na benzer \u015fekilde Phi katsay\u0131s\u0131 -1 ile 1 aras\u0131nda de\u011ferler al\u0131r; burada:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>-1,<\/strong> iki de\u011fi\u015fken aras\u0131nda tamamen negatif bir ili\u015fkiyi g\u00f6sterir.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>0,<\/strong> iki de\u011fi\u015fken aras\u0131nda ili\u015fki olmad\u0131\u011f\u0131n\u0131 g\u00f6sterir.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>1,<\/strong> iki de\u011fi\u015fken aras\u0131nda m\u00fckemmel pozitif bir ili\u015fkiyi g\u00f6sterir.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Genel olarak Phi katsay\u0131s\u0131 s\u0131f\u0131rdan ne kadar uzaksa iki de\u011fi\u015fken aras\u0131ndaki ili\u015fki o kadar g\u00fc\u00e7l\u00fcd\u00fcr.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ba\u015fka bir deyi\u015fle, Phi katsay\u0131s\u0131 s\u0131f\u0131rdan ne kadar uzaksa, iki de\u011fi\u015fken aras\u0131nda bir t\u00fcr sistematik modelin varl\u0131\u011f\u0131na dair o kadar fazla kan\u0131t vard\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/tr\/pearson-korelasyon-katsayisi-1\/\" target=\"_blank\" rel=\"noopener noreferrer\">Pearson Korelasyon Katsay\u0131s\u0131 Rehberi<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/balikcilarin-kesin-testi\/\" target=\"_blank\" rel=\"noopener noreferrer\">Fisher Kesin Testi K\u0131lavuzu<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/ki-kare-bagimsizlik-testi\/\" target=\"_blank\" rel=\"noopener noreferrer\">Ki-Kare Ba\u011f\u0131ms\u0131zl\u0131k Testi Rehberi<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Phi katsay\u0131s\u0131 (bazen ortalama kare olas\u0131l\u0131k katsay\u0131s\u0131 olarak da adland\u0131r\u0131l\u0131r), iki ikili de\u011fi\u015fken aras\u0131ndaki ili\u015fkinin bir \u00f6l\u00e7\u00fcs\u00fcd\u00fcr. \u0130ki rastgele de\u011fi\u015fken x ve y i\u00e7in verilen 2\u00d72&#8217;lik bir tablo i\u00e7in: Phi katsay\u0131s\u0131 \u015fu \u015fekilde hesaplanabilir: \u03a6 = (AD-BC) \/ \u221a (A+B)(C+D)(A+C)(B+D) \u00d6rnek: Phi katsay\u0131s\u0131n\u0131n hesaplanmas\u0131 Cinsiyetin siyasi parti tercihiyle ili\u015fkili olup olmad\u0131\u011f\u0131n\u0131 bilmek istedi\u011fimizi varsayal\u0131m. 25 [&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-1016","post","type-post","status-publish","format-standard","hentry","category-rehber"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - 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