{"id":1315,"date":"2023-07-26T22:01:06","date_gmt":"2023-07-26T22:01:06","guid":{"rendered":"https:\/\/statorials.org\/tr\/mutfak-uzaktan-python\/"},"modified":"2023-07-26T22:01:06","modified_gmt":"2023-07-26T22:01:06","slug":"mutfak-uzaktan-python","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/mutfak-uzaktan-python\/","title":{"rendered":"Python&#39;da cook&#39;un mesafesi nas\u0131l hesaplan\u0131r?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Cook mesafesi,<\/strong> bir regresyon modelinde etkili <a href=\"https:\/\/statorials.org\/tr\/istatistikte-gozlem\/\" target=\"_blank\" rel=\"noopener\">g\u00f6zlemleri<\/a> tan\u0131mlamak i\u00e7in kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Cook mesafesinin form\u00fcl\u00fc:<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>d <sub>ben<\/sub><\/strong> = (r <sub>i<\/sub> <sup>2<\/sup> \/ p*MSE) * (h <sub>ii<\/sub> \/ (1-h <sub>ii<\/sub> ) <sup>2<\/sup> )<\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>r<\/strong> <sub><strong>i<\/strong><\/sub> <sup>i&#8217;inci<\/sup> kal\u0131nt\u0131d\u0131r<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>p<\/strong> , regresyon modelindeki katsay\u0131lar\u0131n say\u0131s\u0131d\u0131r<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>MSE<\/strong> ortalama kare hatas\u0131d\u0131r<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>h<\/strong> <sub>ii<\/sub> <sup>i&#8217;inci<\/sup> kald\u0131ra\u00e7 de\u011feridir<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Cook mesafesi esasen <sup>i&#8217;inci<\/sup> g\u00f6zlem kald\u0131r\u0131ld\u0131\u011f\u0131nda modelin t\u00fcm uyum de\u011ferlerinin ne kadar de\u011fi\u015fti\u011fini \u00f6l\u00e7er.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Cook mesafesinin de\u011feri ne kadar b\u00fcy\u00fck olursa, belirli bir g\u00f6zlem o kadar etkili olur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Genel bir kural olarak, Cook mesafesi 4\/n&#8217;den b\u00fcy\u00fck olan herhangi bir g\u00f6zlemin (burada <em>n<\/em> = toplam g\u00f6zlemler) b\u00fcy\u00fck bir etkiye sahip oldu\u011fu kabul edilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu e\u011fitimde Python&#8217;da belirli bir regresyon modeli i\u00e7in Cook mesafesinin nas\u0131l hesaplanaca\u011f\u0131na dair ad\u0131m ad\u0131m bir \u00f6rnek sunulmaktad\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>1. Ad\u0131m: Verileri girin<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u00d6ncelikle Python&#8217;da \u00e7al\u0131\u015faca\u011f\u0131m\u0131z k\u00fc\u00e7\u00fck bir veri k\u00fcmesi olu\u015fturaca\u011f\u0131z:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">import<\/span> pandas <span style=\"color: #008000;\">as<\/span> pd\n\n<span style=\"color: #008080;\">#create dataset\n<\/span>df = pd. <span style=\"color: #3366ff;\">DataFrame<\/span> ({' <span style=\"color: #008000;\">x<\/span> ': [8, 12, 12, 13, 14, 16, 17, 22, 24, 26, 29, 30],\n                   ' <span style=\"color: #008000;\">y<\/span> ': [41, 42, 39, 37, 35, 39, 45, 46, 39, 49, 55, 57]})\n<\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>Ad\u0131m 2: Regresyon modelini yerle\u015ftirin<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Daha sonra <a href=\"https:\/\/statorials.org\/tr\/pythonda-basit-dogrusal-regresyon\/\" target=\"_blank\" rel=\"noopener\">basit bir do\u011frusal regresyon modeli<\/a> uygulayaca\u011f\u0131z:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008000;\">import<\/span> statsmodels. <span style=\"color: #3366ff;\">api<\/span> <span style=\"color: #008000;\">as<\/span> sm\n\n<span style=\"color: #008080;\">#define response variable\n<\/span>y = df[' <span style=\"color: #008000;\">y<\/span> ']\n\n<span style=\"color: #008080;\">#define explanatory variable\n<\/span>x = df[' <span style=\"color: #008000;\">x<\/span> ']\n\n<span style=\"color: #008080;\">#add constant to predictor variables\n<\/span>x = sm. <span style=\"color: #3366ff;\">add_constant<\/span> (x)\n\n<span style=\"color: #008080;\">#fit linear regression model\n<\/span>model = sm. <span style=\"color: #3366ff;\">OLS<\/span> (y,x). <span style=\"color: #3366ff;\">fit<\/span> ()<\/strong><\/span><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>Ad\u0131m 3: Pi\u015firme Mesafesini Hesaplay\u0131n<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Daha sonra modeldeki her g\u00f6zlem i\u00e7in Cook mesafesini hesaplayaca\u011f\u0131z:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#suppress scientific notation\n<span style=\"color: #000000;\"><span style=\"color: #008000;\">import<\/span> numpy <span style=\"color: #008000;\">as<\/span> np\nn.p. <span style=\"color: #3366ff;\">set_printoptions<\/span> (suppress= <span style=\"color: #008000;\">True<\/span> )\n\n<span style=\"color: #008080;\">#create instance of influence\n<\/span>influence = model. <span style=\"color: #3366ff;\">get_influence<\/span> ()\n\n<span style=\"color: #008080;\">#obtain Cook's distance for each observation\n<\/span>cooks = influence. <span style=\"color: #3366ff;\">cooks_distance<\/span>\n\n<span style=\"color: #008080;\">#display Cook's distances\n<\/span><span style=\"color: #993300;\">print<\/span> (cooks)\n\n(array([0.368, 0.061, 0.001, 0.028, 0.105, 0.022, 0.017, 0. , 0.343,\n        0. , 0.15 , 0.349]),\n array([0.701, 0.941, 0.999, 0.973, 0.901, 0.979, 0.983, 1. , 0.718,\n        1. , 0.863, 0.713]))\n<\/span><\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Varsay\u0131lan olarak, <strong>Cooks_distance()<\/strong> i\u015flevi, her g\u00f6zlem i\u00e7in Cook&#8217;un mesafesine ili\u015fkin bir dizi de\u011fer ve ard\u0131ndan kar\u015f\u0131l\u0131k gelen p de\u011ferleri dizisini g\u00f6r\u00fcnt\u00fcler.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Cook&#8217;un g\u00f6zlem #1 mesafesi: <strong>0,368<\/strong> (p de\u011feri: 0,701)<\/span><\/li>\n<li> <span style=\"color: #000000;\">G\u00f6zlem #2 i\u00e7in Cook mesafesi: <strong>0,061<\/strong> (p de\u011feri: 0,941)<\/span><\/li>\n<li> <span style=\"color: #000000;\">Cook&#8217;un g\u00f6zlem #3 mesafesi: <strong>0,001<\/strong> (p de\u011feri: 0,999)<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Ve benzeri.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ad\u0131m 4: A\u015f\u00e7\u0131n\u0131n mesafelerini g\u00f6rselle\u015ftirin<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Son olarak, tahmin de\u011fi\u015fkeninin de\u011ferlerini her g\u00f6zlem i\u00e7in Cook mesafesinin bir fonksiyonu olarak g\u00f6rselle\u015ftirmek i\u00e7in bir da\u011f\u0131l\u0131m grafi\u011fi olu\u015fturabiliriz:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008000;\">import<\/span> matplotlib. <span style=\"color: #3366ff;\">pyplot<\/span> <span style=\"color: #008000;\">as<\/span> plt\n\nplt. <span style=\"color: #3366ff;\">scatter<\/span> (df.x, cooks[0])\nplt. <span style=\"color: #3366ff;\">xlabel<\/span> (' <span style=\"color: #008000;\">x<\/span> ')\nplt. <span style=\"color: #3366ff;\">ylabel<\/span> (' <span style=\"color: #008000;\">Cooks Distance<\/span> ')\nplt. <span style=\"color: #3366ff;\">show<\/span> ()<\/span><\/span><\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12869 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/cuisinierspython1.png\" alt=\"Python'da Cook'un Mesafesi\" width=\"420\" height=\"284\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Son d\u00fc\u015f\u00fcnceler<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Potansiyel olarak etkili g\u00f6zlemleri <em>tan\u0131mlamak<\/em> i\u00e7in Cook mesafesinin kullan\u0131lmas\u0131 gerekti\u011fine dikkat etmek \u00f6nemlidir.<\/span> <span style=\"color: #000000;\">Bir g\u00f6zlemin etkili olmas\u0131 onun veri k\u00fcmesinden \u00e7\u0131kar\u0131lmas\u0131 gerekti\u011fi anlam\u0131na gelmez.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6ncelikle g\u00f6zlemin bir veri giri\u015fi hatas\u0131n\u0131n veya ba\u015fka bir garip olay\u0131n sonucu olmad\u0131\u011f\u0131n\u0131 do\u011frulaman\u0131z gerekir. Me\u015fru bir de\u011fer oldu\u011fu ortaya \u00e7\u0131karsa, onu kald\u0131rman\u0131n, oldu\u011fu gibi b\u0131rakman\u0131n veya sadece medyan gibi alternatif bir de\u011ferle de\u011fi\u015ftirmenin uygun olup olmad\u0131\u011f\u0131na karar verebilirsiniz.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Cook mesafesi, bir regresyon modelinde etkili g\u00f6zlemleri tan\u0131mlamak i\u00e7in kullan\u0131l\u0131r. Cook mesafesinin form\u00fcl\u00fc: d ben = (r i 2 \/ p*MSE) * (h ii \/ (1-h ii ) 2 ) Alt\u0131n: r i i&#8217;inci kal\u0131nt\u0131d\u0131r p , regresyon modelindeki katsay\u0131lar\u0131n say\u0131s\u0131d\u0131r MSE ortalama kare hatas\u0131d\u0131r h ii i&#8217;inci kald\u0131ra\u00e7 de\u011feridir Cook mesafesi esasen i&#8217;inci g\u00f6zlem [&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-1315","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>Python&#039;da Cook&#039;un Mesafesi Nas\u0131l Hesaplan\u0131r?<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde Python&#039;da Cook&#039;un mesafesinin nas\u0131l 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