{"id":872,"date":"2023-07-28T11:41:06","date_gmt":"2023-07-28T11:41:06","guid":{"rendered":"https:\/\/statorials.org\/tr\/durbin-watson-test-pitonu\/"},"modified":"2023-07-28T11:41:06","modified_gmt":"2023-07-28T11:41:06","slug":"durbin-watson-test-pitonu","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/durbin-watson-test-pitonu\/","title":{"rendered":"Python&#39;da durbin-watson testi nas\u0131l yap\u0131l\u0131r?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><a href=\"https:\/\/statorials.org\/tr\/dogrusal-regresyon-varsayimlari\/\" target=\"_blank\" rel=\"noopener\">Do\u011frusal regresyonun varsay\u0131mlar\u0131ndan<\/a> <span style=\"color: #000000;\">biri<\/span> <span style=\"color: #000000;\">art\u0131klar aras\u0131nda herhangi bir korelasyonun olmamas\u0131d\u0131r. Ba\u015fka bir deyi\u015fle art\u0131klar\u0131n ba\u011f\u0131ms\u0131z oldu\u011fu varsay\u0131lmaktad\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu varsay\u0131m\u0131n kar\u015f\u0131lan\u0131p kar\u015f\u0131lanmad\u0131\u011f\u0131n\u0131 belirlemenin bir yolu, bir <a href=\"https:\/\/statorials.org\/tr\/dogrusal-regresyon-pitonu\/\" target=\"_blank\" rel=\"noopener\">regresyonun<\/a> art\u0131klar\u0131nda otokorelasyonun varl\u0131\u011f\u0131n\u0131 tespit etmek i\u00e7in kullan\u0131lan <a href=\"https:\/\/statorials.org\/tr\/durbin-watson-testi\/\" target=\"_blank\" rel=\"noopener\">Durbin-Watson testinin<\/a> yap\u0131lmas\u0131d\u0131r. Bu test a\u015fa\u011f\u0131daki varsay\u0131mlar\u0131 kullan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> (s\u0131f\u0131r hipotezi):<\/strong> Art\u0131klar aras\u0131nda korelasyon yoktur.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>H <sub>A<\/sub> (alternatif hipotez):<\/strong> Art\u0131klar otokorelasyonludur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Test istatisti\u011fi yakla\u015f\u0131k olarak 2*(1-r)&#8217;ye e\u015fittir; burada r, art\u0131klar\u0131n \u00f6rnek otokorelasyonudur. Dolay\u0131s\u0131yla test istatisti\u011fi a\u015fa\u011f\u0131daki yorumla her zaman 0 ile 4 aras\u0131nda olacakt\u0131r:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Test istatisti\u011finin <strong>2<\/strong> olmas\u0131 seri korelasyon olmad\u0131\u011f\u0131n\u0131 g\u00f6sterir.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Test istatistikleri <strong>0&#8217;a<\/strong> ne kadar yak\u0131nsa, pozitif seri korelasyonun kan\u0131t\u0131 o kadar fazlad\u0131r.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Test istatistikleri <strong>4&#8217;e<\/strong> ne kadar yak\u0131nsa, negatif seri korelasyonun kan\u0131t\u0131 o kadar fazlad\u0131r.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Tipik olarak 1,5 ile 2,5 aras\u0131ndaki test istatisti\u011fi de\u011ferleri normal kabul edilir. Ancak bu aral\u0131\u011f\u0131n d\u0131\u015f\u0131ndaki de\u011ferler otokorelasyonun sorun oldu\u011funu g\u00f6sterebilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu e\u011fitimde Python&#8217;da Durbin-Watson testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek: Python&#8217;da Durbin-Watson testi<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">10 basketbolcunun \u00f6zelliklerini a\u00e7\u0131klayan 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: #107d3f;\">import<\/span> numpy <span style=\"color: #107d3f;\">as<\/span> np\n<span style=\"color: #107d3f;\">import<\/span> pandas <span style=\"color: #107d3f;\">as<\/span> pd\n\n<span style=\"color: #008080;\">#create dataset<\/span>\ndf = pd.DataFrame({'rating': [90, 85, 82, 88, 94, 90, 76, 75, 87, 86],\n                   'points': [25, 20, 14, 16, 27, 20, 12, 15, 14, 19],\n                   'assists': [5, 7, 7, 8, 5, 7, 6, 9, 9, 5],\n                   'rebounds': [11, 8, 10, 6, 6, 9, 6, 10, 10, 7]})\n\n<span style=\"color: #008080;\">#view dataset\n<\/span>df\n\n\trating points assists rebounds\n0 90 25 5 11\n1 85 20 7 8\n2 82 14 7 10\n3 88 16 8 6\n4 94 27 5 6\n5 90 20 7 9\n6 76 12 6 6\n7 75 15 9 10\n8 87 14 9 10\n9 86 19 5 7<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Yan\u0131t de\u011fi\u015fkeni olarak <em>derecelendirmeyi<\/em> ve yorday\u0131c\u0131 de\u011fi\u015fkenler olarak di\u011fer \u00fc\u00e7 de\u011fi\u015fkeni kullanarak \u00e7oklu do\u011frusal regresyon modeline uydu\u011fumuzu varsayal\u0131m:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #107d3f;\">from<\/span> statsmodels.formula.api <span style=\"color: #107d3f;\">import<\/span> ols\n\n<span style=\"color: #008080;\">#fit multiple linear regression model\n<\/span>model = ols('rating ~ points + assists + rebounds', data=df). <span style=\"color: #3366ff;\">fit<\/span> ()\n\n<span style=\"color: #008080;\">#view model summary\n<\/span>print(model.summary())\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Regresyon modeli art\u0131klar\u0131n\u0131n otomatik olarak ili\u015fkilendirilip ili\u015fkilendirilmedi\u011fini belirlemek i\u00e7in statsmodels kitapl\u0131\u011f\u0131ndan <a href=\"https:\/\/www.statsmodels.org\/stable\/generated\/statsmodels.stats.stattools.durbin_watson.html\" target=\"_blank\" rel=\"noopener\">durbin_watson() i\u015flevini<\/a> kullanarak bir Watson Durbin ger\u00e7ekle\u015ftirebiliriz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #107d3f;\">from<\/span> statsmodels.stats.stattools <span style=\"color: #107d3f;\">import<\/span> durbin_watson\n\n<span style=\"color: #008080;\">#perform Durbin-Watson test\n<\/span>durbin_watson(model.resid)\n\n2,392<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Test istatisti\u011fi <strong>2,392&#8217;dir<\/strong> . Bu de\u011fer 1,5 ile 2,5 aras\u0131nda oldu\u011fundan bu regresyon modelinde otokorelasyonun sorun olmad\u0131\u011f\u0131n\u0131 d\u00fc\u015f\u00fcn\u00fcyoruz.<\/span><\/p>\n<h3> <strong>Otokorelasyonla nas\u0131l ba\u015fa \u00e7\u0131k\u0131l\u0131r?<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">S\u0131f\u0131r hipotezini reddederseniz ve art\u0131klarda otokorelasyonun mevcut oldu\u011fu sonucuna var\u0131rsan\u0131z, yeterince ciddi oldu\u011funu d\u00fc\u015f\u00fcn\u00fcyorsan\u0131z bu sorunu d\u00fczeltmek i\u00e7in birka\u00e7 se\u00e7ene\u011finiz vard\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1.<\/strong> Pozitif seri korelasyon i\u00e7in ba\u011f\u0131ml\u0131 ve\/veya ba\u011f\u0131ms\u0131z de\u011fi\u015fkenin gecikmelerini modele eklemeyi d\u00fc\u015f\u00fcn\u00fcn.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2.<\/strong> Negatif seri korelasyon i\u00e7in de\u011fi\u015fkenlerinizden hi\u00e7birinin <em>a\u015f\u0131r\u0131 gecikmedi\u011finden<\/em> emin olun.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>3.<\/strong> Mevsimsel korelasyon i\u00e7in modele mevsimsel kukla de\u011fi\u015fkenler eklemeyi d\u00fc\u015f\u00fcn\u00fcn.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Do\u011frusal regresyonun varsay\u0131mlar\u0131ndan biri art\u0131klar aras\u0131nda herhangi bir korelasyonun olmamas\u0131d\u0131r. Ba\u015fka bir deyi\u015fle art\u0131klar\u0131n ba\u011f\u0131ms\u0131z oldu\u011fu varsay\u0131lmaktad\u0131r. Bu varsay\u0131m\u0131n kar\u015f\u0131lan\u0131p kar\u015f\u0131lanmad\u0131\u011f\u0131n\u0131 belirlemenin bir yolu, bir regresyonun art\u0131klar\u0131nda otokorelasyonun varl\u0131\u011f\u0131n\u0131 tespit etmek i\u00e7in kullan\u0131lan Durbin-Watson testinin yap\u0131lmas\u0131d\u0131r. Bu test a\u015fa\u011f\u0131daki varsay\u0131mlar\u0131 kullan\u0131r: H 0 (s\u0131f\u0131r hipotezi): Art\u0131klar aras\u0131nda korelasyon yoktur. H A (alternatif hipotez): Art\u0131klar otokorelasyonludur. [&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-872","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 Durbin-Watson Testi Nas\u0131l Yap\u0131l\u0131r - Statorials<\/title>\n<meta name=\"description\" content=\"Python&#039;da Durbin-Watson testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fine dair basit bir a\u00e7\u0131klama.\" \/>\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\/durbin-watson-test-pitonu\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Python&#039;da Durbin-Watson Testi Nas\u0131l Yap\u0131l\u0131r - Statorials\" \/>\n<meta property=\"og:description\" content=\"Python&#039;da Durbin-Watson testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fine dair basit bir a\u00e7\u0131klama.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/durbin-watson-test-pitonu\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-28T11:41:06+00:00\" \/>\n<meta name=\"author\" content=\"Dr.benjamin anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Yazan:\" \/>\n\t<meta name=\"twitter:data1\" content=\"Dr.benjamin anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tahmini okuma s\u00fcresi\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/durbin-watson-test-pitonu\/\",\"url\":\"https:\/\/statorials.org\/tr\/durbin-watson-test-pitonu\/\",\"name\":\"Python&#39;da Durbin-Watson Testi Nas\u0131l Yap\u0131l\u0131r - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-28T11:41:06+00:00\",\"dateModified\":\"2023-07-28T11:41:06+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Python&#39;da Durbin-Watson testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fine dair basit bir a\u00e7\u0131klama.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/durbin-watson-test-pitonu\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/durbin-watson-test-pitonu\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/durbin-watson-test-pitonu\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Python&#39;da durbin-watson testi nas\u0131l yap\u0131l\u0131r?\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/tr\/#website\",\"url\":\"https:\/\/statorials.org\/tr\/\",\"name\":\"Statorials\",\"description\":\"\u0130statistik okuryazarl\u0131\u011f\u0131 rehberiniz!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/tr\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"tr\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\",\"name\":\"Dr.benjamin anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"tr\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Dr.benjamin anderson\"},\"description\":\"Merhaba, ben Benjamin, emekli bir istatistik profes\u00f6r\u00fc ve Statorials \u00f6\u011fretmenine d\u00f6n\u00fc\u015ft\u00fcm. \u0130statistik alan\u0131ndaki kapsaml\u0131 deneyimim ve uzmanl\u0131\u011f\u0131mla, \u00f6\u011frencilerimi Statorials arac\u0131l\u0131\u011f\u0131yla g\u00fc\u00e7lendirmek i\u00e7in bilgilerimi payla\u015fmaya can at\u0131yorum. 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