{"id":4581,"date":"2023-07-09T22:48:50","date_gmt":"2023-07-09T22:48:50","guid":{"rendered":"https:\/\/statorials.org\/tr\/sasta-temel-bilesen-analizi\/"},"modified":"2023-07-09T22:48:50","modified_gmt":"2023-07-09T22:48:50","slug":"sasta-temel-bilesen-analizi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/sasta-temel-bilesen-analizi\/","title":{"rendered":"Sas&#39;ta temel bile\u015fen analizi nas\u0131l ger\u00e7ekle\u015ftirilir?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Temel bile\u015fen analizi (PCA), bir veri k\u00fcmesindeki varyasyonun b\u00fcy\u00fck bir b\u00f6l\u00fcm\u00fcn\u00fc a\u00e7\u0131klayan temel bile\u015fenleri (tahmin edici de\u011fi\u015fkenlerin do\u011frusal kombinasyonlar\u0131) bulmay\u0131 ama\u00e7layan<a href=\"https:\/\/statorials.org\/tr\/denetimli-ve-denetimsiz-ogrenme\/\" target=\"_blank\" rel=\"noopener\">denetimsiz<\/a> bir makine \u00f6\u011frenme tekni\u011fidir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">SAS&#8217;ta PCA ger\u00e7ekle\u015ftirmenin en basit yolu, a\u015fa\u011f\u0131daki temel s\u00f6zdizimini kullanan <strong>PROC PRINCOMP<\/strong> deyimini kullanmakt\u0131r:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #800080;\">proc princomp<\/span> <span style=\"color: #3366ff;\">data<\/span> =my_data <span style=\"color: #3366ff;\">out<\/span> =out_data <span style=\"color: #3366ff;\">outstat<\/span> =stats;\n    <span style=\"color: #3366ff;\">var<\/span> var1 var2 var3;\n<span style=\"color: #800080;\">run<\/span> ;<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u0130\u015fte her talimat\u0131n yapt\u0131\u011f\u0131 \u015fey:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>data<\/strong> : PCA i\u00e7in kullan\u0131lacak veri k\u00fcmesinin ad\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>out<\/strong> : T\u00fcm orijinal verileri ve temel bile\u015fen puanlar\u0131n\u0131 i\u00e7eren, olu\u015fturulacak veri k\u00fcmesinin ad\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>outstat<\/strong> : Ortalamalar\u0131, standart sapmalar\u0131, korelasyon katsay\u0131lar\u0131n\u0131, \u00f6zde\u011ferleri ve \u00f6zvekt\u00f6rleri i\u00e7eren bir veri k\u00fcmesinin olu\u015fturulmas\u0131 gerekti\u011fini belirtir.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>var<\/strong> : giri\u015f veri k\u00fcmesinden PCA i\u00e7in kullan\u0131lacak de\u011fi\u015fkenler.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki ad\u0131m ad\u0131m \u00f6rnek, SAS&#8217;ta temel bile\u015fenler analizi ger\u00e7ekle\u015ftirmek i\u00e7in <strong>PROC PRINCOMP<\/strong> ifadesinin pratikte nas\u0131l kullan\u0131laca\u011f\u0131n\u0131 g\u00f6sterir.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>1. Ad\u0131m: Veri k\u00fcmesi olu\u015fturun<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">20 basketbol oyuncusu hakk\u0131nda \u00e7e\u015fitli bilgiler i\u00e7eren a\u015fa\u011f\u0131daki veri setine 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> points assists rebounds;\n    <span style=\"color: #3366ff;\">datalines<\/span> ;\n22 8 4\n29 7 3\n10 4 12\n5 5 15\n35 6 2\n8 3 10\n10 4 8\n8 4 3\n2 5 17\n4 5 19\n9 9 4\n7 6 4\n31 5 3\n4 6 13\n5 7 8\n8 8 4\n10 4 8\n20 4 6\n25 8 8\n18 8 3\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-35751 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/pcasas1.png\" alt=\"\" width=\"247\" height=\"525\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Ad\u0131m 2: Temel bile\u015fenler analizini ger\u00e7ekle\u015ftirin<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\">Veri k\u00fcmesinin <strong>noktalar\u0131<\/strong> , <strong>asistleri<\/strong> ve <strong>s\u0131\u00e7rama<\/strong> de\u011fi\u015fkenlerini kullanarak temel bile\u015fen analizini ger\u00e7ekle\u015ftirmek i\u00e7in <strong>PROC PRINCOMP<\/strong> ifadesini kullanabiliriz:<\/span><\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #800080;\"><span style=\"color: #008000;\">\/*perform principal components analysis*\/<\/span>\nproc princomp<\/span> <span style=\"color: #3366ff;\">data<\/span> =my_data <span style=\"color: #3366ff;\">out<\/span> =out_data <span style=\"color: #3366ff;\">outstat<\/span> =stats;\n    <span style=\"color: #3366ff;\">var<\/span> points assists rebounds;\n<span style=\"color: #800080;\">run<\/span> ;<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u00c7\u0131kt\u0131n\u0131n ilk k\u0131sm\u0131, her bir girdi de\u011fi\u015fkeninin ortalama ve standart sapmalar\u0131, bir korelasyon matrisi ve \u00f6zde\u011ferlerin ve \u00f6zvekt\u00f6rlerin de\u011ferleri dahil olmak \u00fczere \u00e7e\u015fitli tan\u0131mlay\u0131c\u0131 istatistikleri g\u00f6r\u00fcnt\u00fcler:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-35752 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/pcasas2.png\" alt=\"\" width=\"380\" height=\"647\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">\u00c7\u0131kt\u0131n\u0131n bir sonraki b\u00f6l\u00fcm\u00fcnde bir <strong>yama\u00e7 grafi\u011fi<\/strong> ve <strong>a\u00e7\u0131klanan varyans<\/strong> grafi\u011fi g\u00f6r\u00fcnt\u00fclenir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-35753 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/pcasas3.png\" alt=\"\" width=\"650\" height=\"371\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">PCA uygulad\u0131\u011f\u0131m\u0131zda genellikle veri setindeki toplam varyasyonun y\u00fczde ka\u00e7\u0131n\u0131n her bir temel bile\u015fen taraf\u0131ndan a\u00e7\u0131klanabilece\u011fini anlamak isteriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ortaya \u00e7\u0131kan <strong>Korelasyon Matrisi \u00d6zde\u011ferleri<\/strong> ba\u015fl\u0131kl\u0131 tablo, her bir temel bile\u015fen taraf\u0131ndan toplam varyasyonun y\u00fczde ka\u00e7\u0131n\u0131n a\u00e7\u0131kland\u0131\u011f\u0131n\u0131 tam olarak g\u00f6rmemizi sa\u011flar:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u0130lk temel bile\u015fen, veri k\u00fcmesindeki toplam varyasyonun <strong>%61,7&#8217;sini<\/strong> a\u00e7\u0131kl\u0131yor.<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u0130kinci temel bile\u015fen veri setindeki toplam varyasyonun <strong>%26,51&#8217;ini<\/strong> a\u00e7\u0131klamaktad\u0131r.<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u00dc\u00e7\u00fcnc\u00fc temel bile\u015fen, veri setindeki toplam varyasyonun <strong>%11,79&#8217;unu<\/strong> a\u00e7\u0131klamaktad\u0131r.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">T\u00fcm y\u00fczdelerin toplam\u0131n\u0131n %100 oldu\u011funu unutmay\u0131n.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>A\u00e7\u0131klanan Varyans<\/strong> ba\u015fl\u0131kl\u0131 \u00e7izim bu de\u011ferleri g\u00f6rselle\u015ftirmemize olanak tan\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">X ekseni temel bile\u015feni g\u00f6r\u00fcnt\u00fcler ve y ekseni, her bir temel bile\u015fen taraf\u0131ndan a\u00e7\u0131klanan toplam varyans\u0131n y\u00fczdesini g\u00f6r\u00fcnt\u00fcler.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>3. Ad\u0131m: Sonu\u00e7lar\u0131 g\u00f6rselle\u015ftirmek i\u00e7in bir ikili grafik olu\u015fturun<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Belirli bir veri k\u00fcmesi i\u00e7in PCA sonu\u00e7lar\u0131n\u0131 g\u00f6rselle\u015ftirmek i\u00e7in, bir veri k\u00fcmesindeki her g\u00f6zlemi ilk iki ana bile\u015fen taraf\u0131ndan olu\u015fturulan bir d\u00fczlemde g\u00f6r\u00fcnt\u00fcleyen bir \u00e7izim olan bir <strong>biplot<\/strong> olu\u015fturabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir biplot olu\u015fturmak i\u00e7in SAS&#8217;ta a\u015fa\u011f\u0131daki s\u00f6zdizimini kullanabiliriz:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008000;\">\/*create dataset with column called <em>obs<\/em> to represent row numbers of original data*\/<\/span>\n<span style=\"color: #800080;\">data<\/span> biplot_data;\n   <span style=\"color: #3366ff;\">set<\/span> out_data;\n   obs=_n_;\n<span style=\"color: #800080;\">run<\/span> ;\n\n<span style=\"color: #008000;\">\/*create biplot using values from first two principal components*\/\n<\/span><span style=\"color: #800080;\">proc sgplot<\/span> <span style=\"color: #3366ff;\">data<\/span> =biplot_data;\n    <span style=\"color: #3366ff;\">scatter<\/span> <span style=\"color: #3366ff;\">x<\/span> =Prin1 <span style=\"color: #3366ff;\">y<\/span> =Prin2 \/ <span style=\"color: #3366ff;\">datalabel<\/span> =obs;\n<span style=\"color: #800080;\">run<\/span> ;<\/strong><\/span> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-35754 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/pcasas4.png\" alt=\"\" width=\"601\" height=\"449\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">X ekseni birinci ana bile\u015feni, y ekseni ikinci ana bile\u015feni g\u00f6r\u00fcnt\u00fcler ve veri k\u00fcmesindeki bireysel <a href=\"https:\/\/statorials.org\/tr\/istatistikte-gozlem\/\" target=\"_blank\" rel=\"noopener\">g\u00f6zlemler<\/a> grafi\u011fin i\u00e7inde k\u00fc\u00e7\u00fck daireler halinde g\u00f6r\u00fcnt\u00fclenir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Grafikte yan yana yer alan g\u00f6zlemler <strong>say\u0131<\/strong> , <strong>asist<\/strong> ve <strong>ribaund<\/strong> olmak \u00fczere \u00fc\u00e7 de\u011fi\u015fken i\u00e7in de benzer de\u011ferlere sahip.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin grafi\u011fin en solunda <strong>9.<\/strong> ve <strong>10.<\/strong> g\u00f6zlemlerin birbirine son derece yak\u0131n oldu\u011funu g\u00f6rebiliyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Orijinal veri setine ba\u015fvurursak bu g\u00f6zlemlere ili\u015fkin \u015fu de\u011ferleri g\u00f6rebiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>9. G\u00f6zlem<\/strong> : 2 say\u0131, 5 asist, 17 ribaund<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>G\u00f6zlem #10<\/strong> : 4 say\u0131, 5 asist, 19 ribaund<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u00dc\u00e7 de\u011fi\u015fkenin her biri i\u00e7in de\u011ferler benzerdir, bu da bu g\u00f6zlemlerin neden biplotta birbirine bu kadar yak\u0131n oldu\u011funu a\u00e7\u0131klar.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Korelasyon Matrisi \u00d6zde\u011ferleri<\/strong> ba\u015fl\u0131kl\u0131 sonu\u00e7 tablosunda da ilk iki temel bile\u015fenin veri setindeki toplam varyasyonun <strong>%88,21&#8217;ini<\/strong> olu\u015fturdu\u011funu g\u00f6rd\u00fck.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu y\u00fczde \u00e7ok y\u00fcksek oldu\u011fundan, iki noktadaki hangi g\u00f6zlemlerin birbirine yak\u0131n oldu\u011funu analiz etmek ge\u00e7erlidir \u00e7\u00fcnk\u00fc iki noktay\u0131 olu\u015fturan iki temel bile\u015fen, veri k\u00fcmesindeki varyasyonun neredeyse tamam\u0131n\u0131 a\u00e7\u0131klamaktad\u0131r.<\/span><\/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> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/sasta-basit-dogrusal-regresyon\/\" target=\"_blank\" rel=\"noopener\">SAS&#8217;ta basit do\u011frusal regresyon nas\u0131l ger\u00e7ekle\u015ftirilir?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/sasta-coklu-dogrusal-regresyon\/\" target=\"_blank\" rel=\"noopener\">SAS&#8217;ta \u00e7oklu do\u011frusal regresyon nas\u0131l ger\u00e7ekle\u015ftirilir?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/hava-kilidinde-lojistik-regresyon\/\" target=\"_blank\" rel=\"noopener\">SAS&#8217;ta lojistik regresyon nas\u0131l ger\u00e7ekle\u015ftirilir?<\/a><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Temel bile\u015fen analizi (PCA), bir veri k\u00fcmesindeki varyasyonun b\u00fcy\u00fck bir b\u00f6l\u00fcm\u00fcn\u00fc a\u00e7\u0131klayan temel bile\u015fenleri (tahmin edici de\u011fi\u015fkenlerin do\u011frusal kombinasyonlar\u0131) bulmay\u0131 ama\u00e7layandenetimsiz bir makine \u00f6\u011frenme tekni\u011fidir. SAS&#8217;ta PCA ger\u00e7ekle\u015ftirmenin en basit yolu, a\u015fa\u011f\u0131daki temel s\u00f6zdizimini kullanan PROC PRINCOMP deyimini kullanmakt\u0131r: proc princomp data =my_data out =out_data outstat =stats; var var1 var2 var3; run ; \u0130\u015fte her [&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-4581","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 Temel Bile\u015fen Analizi Nas\u0131l Ger\u00e7ekle\u015ftirilir - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, SAS&#039;ta temel bile\u015fen analizinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi eksiksiz 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-temel-bilesen-analizi\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"SAS&#039;ta Temel Bile\u015fen Analizi Nas\u0131l Ger\u00e7ekle\u015ftirilir - 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