{"id":4572,"date":"2023-07-10T00:44:39","date_gmt":"2023-07-10T00:44:39","guid":{"rendered":"https:\/\/statorials.org\/tr\/sasta-asimetri-basikligi\/"},"modified":"2023-07-10T00:44:39","modified_gmt":"2023-07-10T00:44:39","slug":"sasta-asimetri-basikligi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/sasta-asimetri-basikligi\/","title":{"rendered":"Sas&#39;ta \u00e7arp\u0131kl\u0131k ve bas\u0131kl\u0131k nas\u0131l hesaplan\u0131r?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u0130statistikte <strong>\u00e7arp\u0131kl\u0131k<\/strong> ve <strong>bas\u0131kl\u0131k<\/strong> bir da\u011f\u0131l\u0131m\u0131n \u015feklini \u00f6l\u00e7menin iki yoludur.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u00c7arp\u0131kl\u0131k<\/strong> bir da\u011f\u0131l\u0131m\u0131n asimetrisini \u00f6l\u00e7er.<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Negatif \u00e7arp\u0131kl\u0131k, kuyru\u011fun da\u011f\u0131l\u0131m\u0131n sol taraf\u0131nda oldu\u011funu g\u00f6sterir.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Pozitif bir \u00e7arp\u0131kl\u0131k, kuyru\u011fun da\u011f\u0131l\u0131m\u0131n sa\u011f taraf\u0131nda oldu\u011funu g\u00f6sterir.<\/span><\/li>\n<li> <span style=\"color: #000000;\">S\u0131f\u0131r de\u011feri, da\u011f\u0131l\u0131mda asimetri olmad\u0131\u011f\u0131n\u0131, yani da\u011f\u0131l\u0131m\u0131n tamamen simetrik oldu\u011funu g\u00f6sterir.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Bas\u0131kl\u0131k<\/strong> , bir da\u011f\u0131l\u0131m\u0131n normal da\u011f\u0131l\u0131ma g\u00f6re a\u011f\u0131r m\u0131 yoksa hafif kuyruklu mu oldu\u011funu \u00f6l\u00e7er.<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Normal da\u011f\u0131l\u0131m\u0131n bas\u0131kl\u0131\u011f\u0131 0&#8217;d\u0131r.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Belirli bir da\u011f\u0131l\u0131m\u0131n bas\u0131kl\u0131\u011f\u0131 0&#8217;dan k\u00fc\u00e7\u00fckse buna <em>playkurtic<\/em> denir, bu da normal da\u011f\u0131l\u0131ma g\u00f6re giderek daha az u\u00e7 de\u011ferler \u00fcretme e\u011filiminde oldu\u011fu anlam\u0131na gelir.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Belirli bir da\u011f\u0131l\u0131m\u0131n bas\u0131kl\u0131\u011f\u0131 0&#8217;dan b\u00fcy\u00fckse buna <em>leptokurtik<\/em> denir, bu da normal da\u011f\u0131l\u0131mdan daha fazla ayk\u0131r\u0131 de\u011fer \u00fcretme e\u011filiminde oldu\u011fu anlam\u0131na gelir.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">SAS&#8217;ta de\u011fi\u015fkenlerin \u00e7arp\u0131kl\u0131k ve bas\u0131kl\u0131\u011f\u0131n\u0131 hesaplamak i\u00e7in <strong>PROC MEANS&#8217;teki<\/strong> <strong>SKEWNESS<\/strong> ve <strong>KURTOSIS<\/strong> ifadelerini kullanabilirsiniz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnek bu talimatlar\u0131n pratikte nas\u0131l kullan\u0131laca\u011f\u0131n\u0131 g\u00f6stermektedir.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u00d6rnek: SAS&#8217;ta \u00c7arp\u0131kl\u0131k ve Bas\u0131kl\u0131\u011f\u0131n Hesaplanmas\u0131<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">SAS&#8217;ta \u00e7e\u015fitli basketbol oyuncular\u0131 hakk\u0131nda bilgi i\u00e7eren a\u015fa\u011f\u0131daki veri k\u00fcmesine sahip oldu\u011fumuzu varsayal\u0131m:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">\/*create dataset*\/\n<\/span><span style=\"color: #800080;\">data<\/span> my_data;\n    <span style=\"color: #3366ff;\">input<\/span> team $points assists;\n    <span style=\"color: #3366ff;\">datalines<\/span> ;\nAt 10 2\nAt 17 5\nAt 17 6\nAt 18 3\nAt 15 0\nB 10 2\nB 14 5\nB 13 4\nB 29 0\nB 25 2\nC 12 1\nC 30 1\nC 34 3\nC 12 4\nC 11 7\n;\n<span style=\"color: #800080;\">run<\/span> ;\n\n<span style=\"color: #008000;\">\/*view dataset*\/\n<\/span><span style=\"color: #800080;\">proc print<\/span> <span style=\"color: #3366ff;\">data<\/span> =my_data;<\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-33383 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/desc1.jpg\" alt=\"\" width=\"212\" height=\"405\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Veri k\u00fcmesindeki her say\u0131sal de\u011fi\u015fkenin \u00e7arp\u0131kl\u0131\u011f\u0131n\u0131 ve bas\u0131kl\u0131\u011f\u0131n\u0131 hesaplamak i\u00e7in <strong>PROC ORTALAMALARINI<\/strong> <strong>SKEWNESS<\/strong> ve <strong>KURTOSIS<\/strong> ifadeleriyle birlikte kullanabiliriz:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">\/*calculate skewness and kurtosis for each numeric variable*\/\n<\/span><span style=\"color: #800080;\">proc means<\/span> <span style=\"color: #3366ff;\">data<\/span> =my_data <span style=\"color: #3366ff;\">SKEWNESS<\/span> <span style=\"color: #3366ff;\">KURTOSIS<\/span> ;\n<span style=\"color: #800080;\">run<\/span> ;<\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-35684 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/sk1.png\" alt=\"\" width=\"261\" height=\"118\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">\u00c7\u0131kt\u0131 tablosu, veri k\u00fcmesindeki her say\u0131sal de\u011fi\u015fken i\u00e7in \u00e7arp\u0131kl\u0131k ve bas\u0131kl\u0131k de\u011ferlerini g\u00f6r\u00fcnt\u00fcler:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>(1) puan<\/strong><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Puan de\u011fi\u015fkeninin <strong>\u00e7arp\u0131kl\u0131\u011f\u0131<\/strong> <strong>1,009&#8217;dur<\/strong> . Bu de\u011fer 0&#8217;dan b\u00fcy\u00fck oldu\u011fu i\u00e7in kuyru\u011fun da\u011f\u0131l\u0131m\u0131n sa\u011f taraf\u0131nda oldu\u011fu anlam\u0131na gelir.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Puan de\u011fi\u015fkeninin <strong>bas\u0131kl\u0131\u011f\u0131<\/strong> <strong>-0,299&#8217;dur<\/strong> . Bu de\u011ferin 0&#8217;dan k\u00fc\u00e7\u00fck olmas\u0131, da\u011f\u0131l\u0131m\u0131n normal da\u011f\u0131l\u0131ma g\u00f6re biraz daha az ayk\u0131r\u0131 de\u011ferlere ve daha az u\u00e7 de\u011ferlere sahip oldu\u011fu anlam\u0131na gelir.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>(2) yard\u0131m<\/strong><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Asist de\u011fi\u015fkeninin <strong>\u00e7arp\u0131kl\u0131\u011f\u0131<\/strong> <strong>0,304&#8217;t\u00fcr<\/strong> . Bu de\u011fer 0&#8217;dan b\u00fcy\u00fck oldu\u011fu i\u00e7in kuyru\u011fun da\u011f\u0131l\u0131m\u0131n sa\u011f taraf\u0131nda oldu\u011fu anlam\u0131na gelir.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Destek de\u011fi\u015fkeninin <strong>bas\u0131kl\u0131\u011f\u0131<\/strong> <strong>-0,782&#8217;dir<\/strong> . Bu de\u011ferin 0&#8217;dan k\u00fc\u00e7\u00fck olmas\u0131, da\u011f\u0131l\u0131m\u0131n normal da\u011f\u0131l\u0131ma g\u00f6re daha az ayk\u0131r\u0131 ve daha az u\u00e7 de\u011ferlere sahip oldu\u011fu anlam\u0131na gelir.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Veri k\u00fcmesindeki her say\u0131sal de\u011fi\u015fken i\u00e7in de\u011ferlerin da\u011f\u0131l\u0131m\u0131n\u0131 g\u00f6rselle\u015ftirmek amac\u0131yla nokta ve yard\u0131mc\u0131 de\u011fi\u015fkenler i\u00e7in histogramlar olu\u015fturmak \u00fczere <strong>PROC UNIVARIATE&#8217;i<\/strong> kullanabilirsiniz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008000;\">\/*create histograms for points and assists variables*\/\n<\/span><span style=\"color: #800080;\">proc univariate<\/span> <span style=\"color: #3366ff;\">data<\/span> =my_data;\n    <span style=\"color: #3366ff;\">var<\/span> points assists;\n    <span style=\"color: #3366ff;\">histogram<\/span> points assists;\n<span style=\"color: #800080;\">run<\/span> ;<\/strong><\/span><\/pre>\n<p> <span style=\"color: #000000;\">Bu, <strong>puan<\/strong> de\u011fi\u015fkeni i\u00e7in a\u015fa\u011f\u0131daki histogram\u0131 \u00fcretir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-35685 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/histo1.png\" alt=\"\" width=\"601\" height=\"451\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Ve <b>yard\u0131m<\/b> de\u011fi\u015fkeni i\u00e7in a\u015fa\u011f\u0131daki histogram:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-35686 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/histo2.png\" alt=\"\" width=\"593\" height=\"447\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki e\u011fitimlerde SAS&#8217;ta di\u011fer ortak g\u00f6revlerin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\n<p><a href=\"https:\/\/statorials.org\/tr\/sasta-tanimlayici-istatistikler\/\" target=\"_blank\" rel=\"noopener\">SAS&#8217;ta tan\u0131mlay\u0131c\u0131 istatistikler nas\u0131l hesaplan\u0131r?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/sas-frekans-tablosu\/\" target=\"_blank\" rel=\"noopener\">SAS&#8217;ta frekans tablolar\u0131 nas\u0131l olu\u015fturulur?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/sas-yuzdelikleri\/\" target=\"_blank\" rel=\"noopener\">SAS&#8217;ta y\u00fczdelikler nas\u0131l hesaplan\u0131r?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/pivot-tablo-sas\/\" target=\"_blank\" rel=\"noopener\">SAS&#8217;ta PivotTable&#8217;lar Nas\u0131l Olu\u015fturulur<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0130statistikte \u00e7arp\u0131kl\u0131k ve bas\u0131kl\u0131k bir da\u011f\u0131l\u0131m\u0131n \u015feklini \u00f6l\u00e7menin iki yoludur. \u00c7arp\u0131kl\u0131k bir da\u011f\u0131l\u0131m\u0131n asimetrisini \u00f6l\u00e7er. Negatif \u00e7arp\u0131kl\u0131k, kuyru\u011fun da\u011f\u0131l\u0131m\u0131n sol taraf\u0131nda oldu\u011funu g\u00f6sterir. Pozitif bir \u00e7arp\u0131kl\u0131k, kuyru\u011fun da\u011f\u0131l\u0131m\u0131n sa\u011f taraf\u0131nda oldu\u011funu g\u00f6sterir. S\u0131f\u0131r de\u011feri, da\u011f\u0131l\u0131mda asimetri olmad\u0131\u011f\u0131n\u0131, yani da\u011f\u0131l\u0131m\u0131n tamamen simetrik oldu\u011funu g\u00f6sterir. Bas\u0131kl\u0131k , bir da\u011f\u0131l\u0131m\u0131n normal da\u011f\u0131l\u0131ma g\u00f6re a\u011f\u0131r m\u0131 yoksa hafif kuyruklu [&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-4572","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>SAS&#039;ta \u00e7arp\u0131kl\u0131k ve bas\u0131kl\u0131k nas\u0131l hesaplan\u0131r - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, SAS&#039;taki de\u011fi\u015fkenlerin \u00e7arp\u0131kl\u0131\u011f\u0131n\u0131n ve bas\u0131kl\u0131\u011f\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131 bir \u00f6rnekle a\u00e7\u0131klanmaktad\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\/sasta-asimetri-basikligi\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"SAS&#039;ta \u00e7arp\u0131kl\u0131k ve bas\u0131kl\u0131k nas\u0131l hesaplan\u0131r - 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