{"id":1254,"date":"2023-07-27T03:10:19","date_gmt":"2023-07-27T03:10:19","guid":{"rendered":"https:\/\/statorials.org\/tr\/kismi-f-testi\/"},"modified":"2023-07-27T03:10:19","modified_gmt":"2023-07-27T03:10:19","slug":"kismi-f-testi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/kismi-f-testi\/","title":{"rendered":"K\u0131smi f testi nedir?"},"content":{"rendered":"

<\/p>\n

\n

Bir regresyon modeli<\/a> ile ayn\u0131 modelin i\u00e7 i\u00e7e ge\u00e7mi\u015f versiyonu aras\u0131nda istatistiksel olarak anlaml\u0131 bir fark olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in k\u0131smi F testi<\/strong> kullan\u0131l\u0131r.<\/span><\/p>\n

Yuvalanm\u0131\u015f<\/em> bir model, genel regresyon modelinde \u00f6ng\u00f6r\u00fcc\u00fc de\u011fi\u015fkenlerin bir alt k\u00fcmesini i\u00e7eren bir modeldir.<\/span><\/p>\n

\u00d6rne\u011fin, d\u00f6rt \u00f6ng\u00f6r\u00fcc\u00fc de\u011fi\u015fkene sahip a\u015fa\u011f\u0131daki regresyon modeline sahip oldu\u011fumuzu varsayal\u0131m:<\/span><\/p>\n

Y = \u03b2 0<\/sub> + \u03b2 1<\/sub> x 1<\/sub> + \u03b2 2<\/sub> x 2<\/sub> + \u03b2 3<\/sub> x 3<\/sub> + \u03b2 4<\/sub> x 4<\/sub> + \u03b5<\/span><\/p>\n

\u0130\u00e7 i\u00e7e ge\u00e7mi\u015f bir modelin bir \u00f6rne\u011fi, orijinal tahmin de\u011fi\u015fkenlerinden yaln\u0131zca ikisini i\u00e7eren a\u015fa\u011f\u0131daki model olabilir:<\/span><\/p>\n

Y = \u03b2 0<\/sub> + \u03b2 1<\/sub> x 1<\/sub> + \u03b2 2<\/sub> x 2<\/sub> + \u03b5<\/span><\/p>\n

Bu iki modelin \u00f6nemli \u00f6l\u00e7\u00fcde farkl\u0131 olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in k\u0131smi bir F testi yapabiliriz.<\/span><\/p>\n

K\u0131smi F testi: temel bilgiler<\/span><\/strong><\/h3>\n

K\u0131smi bir F testi a\u015fa\u011f\u0131daki F testi istatisti\u011fini hesaplar:<\/span><\/p>\n

F = (( Azalt\u0131lm\u0131\u015f<\/sub> RSS \u2013 Tam<\/sub> RSS)\/p) \/ ( Tam<\/sub> RSS \/nk)<\/span><\/p>\n

Alt\u0131n:<\/span><\/p>\n

    \n
  • Azalt\u0131lm\u0131\u015f<\/sub> RSS<\/strong> : \u0130ndirgenmi\u015f (yani “i\u00e7 i\u00e7e”) modelin kalan kareler toplam\u0131.<\/span><\/li>\n
  • RSS dolu<\/sub><\/strong> : Tam modelin kalan kareleri toplam\u0131.<\/span><\/li>\n
  • p:<\/strong> tam modelden kald\u0131r\u0131lan tahmincilerin say\u0131s\u0131.<\/span><\/li>\n
  • n:<\/strong> veri setindeki toplam g\u00f6zlem say\u0131s\u0131.<\/span><\/li>\n
  • k:<\/strong> Tam modeldeki katsay\u0131lar\u0131n say\u0131s\u0131 (kesme noktas\u0131 dahil).<\/span><\/li>\n<\/ul>\n

    Tam model i\u00e7in art\u0131k kareler toplam\u0131n\u0131n her zaman daha k\u00fc\u00e7\u00fck olaca\u011f\u0131n\u0131 unutmay\u0131n, \u00e7\u00fcnk\u00fc tahmin edicilerin eklenmesi her zaman hatada bir miktar azalmaya yol a\u00e7acakt\u0131r.<\/span><\/p>\n

    Dolay\u0131s\u0131yla k\u0131smi bir F testi, esas olarak, tam modelden \u00e7\u0131kard\u0131\u011f\u0131n\u0131z tahmin grubunun ger\u00e7ekten yararl\u0131 olup olmad\u0131\u011f\u0131n\u0131 ve tam modele dahil edilmesi gerekip gerekmedi\u011fini test eder.<\/span><\/p>\n

    Bu test a\u015fa\u011f\u0131daki bo\u015f ve alternatif hipotezleri kullan\u0131r:<\/span><\/p>\n

    H 0<\/sub> :<\/strong> Tam modelden \u00e7\u0131kar\u0131lan t\u00fcm katsay\u0131lar s\u0131f\u0131rd\u0131r.<\/span><\/p>\n

    H A<\/sub> :<\/strong> Modelin tamam\u0131ndan \u00e7\u0131kar\u0131lan katsay\u0131lardan en az biri s\u0131f\u0131rdan farkl\u0131.<\/span><\/p>\n

    F testi istatisti\u011fine kar\u015f\u0131l\u0131k gelen p de\u011feri belirli bir anlaml\u0131l\u0131k d\u00fczeyinin (\u00f6rne\u011fin 0,05) alt\u0131ndaysa, bo\u015f hipotezi reddedebilir ve tam modelden \u00e7\u0131kar\u0131lan katsay\u0131lardan en az birinin anlaml\u0131 oldu\u011fu sonucuna varabiliriz.<\/span><\/p>\n

    K\u0131smi F testi: bir \u00f6rnek<\/strong><\/h3>\n

    Pratikte k\u0131smi F testi ger\u00e7ekle\u015ftirmek i\u00e7in a\u015fa\u011f\u0131daki ad\u0131mlar\u0131 kullan\u0131r\u0131z:<\/span><\/p>\n

    1.<\/strong> Tam regresyon modelini tak\u0131n ve RSS’yi tam olarak<\/sub> hesaplay\u0131n.<\/span><\/p>\n

    2.<\/strong> \u0130\u00e7 i\u00e7e regresyon modelini yerle\u015ftirin ve azalt\u0131lm\u0131\u015f<\/sub> RSS’yi hesaplay\u0131n.<\/span><\/p>\n

    3.<\/strong> Modelleri kar\u015f\u0131la\u015ft\u0131rmak i\u00e7in gereken F testi istatisti\u011fini \u00fcretecek olan tam ve azalt\u0131lm\u0131\u015f modeli kar\u015f\u0131la\u015ft\u0131rmak i\u00e7in bir ANOVA ger\u00e7ekle\u015ftirin.<\/span><\/p>\n

    \u00d6rne\u011fin, a\u015fa\u011f\u0131daki kod, yerle\u015fik mtcars<\/strong> veri k\u00fcmesindeki verileri kullanarak a\u015fa\u011f\u0131daki iki regresyon modelinin R’ye nas\u0131l s\u0131\u011fd\u0131r\u0131laca\u011f\u0131n\u0131 g\u00f6sterir:<\/span><\/p>\n

    Tam model:<\/strong> mpg = \u03b2 0<\/sub> + \u03b2 1<\/sub> mevcut + \u03b2 2<\/sub> karbonhidrat + \u03b2 3<\/sub> hp + \u03b2 4<\/sub> silindir<\/span><\/p>\n

    Model:<\/strong> mpg = \u03b2 0<\/sub> + \u03b2 1<\/sub> mevcut + \u03b2 2<\/sub> karbonhidrat<\/span><\/p>\n

     #fit full model<\/span>\nmodel_full <- lm(mpg ~ disp + carb + hp + cyl, data = mtcars)\n\n#fit reduced model\n<\/span>model_reduced <- lm(mpg ~ disp + carb, data = mtcars)\n\n#perform ANOVA to test for differences in models\n<\/span>anova(model_reduced, model_full)\n\nAnalysis of Variance Table\n\nModel 1: mpg ~ available + carb\nModel 2: mpg ~ disp + carb + hp + cyl\n  Res.Df RSS Df Sum of Sq F Pr(>F)\n1 29 254.82                           \n2 27 238.71 2 16.113 0.9113 0.414<\/strong><\/pre>\n
     Sonu\u00e7tan ANOVA’n\u0131n F testi istatisti\u011finin 0,9113<\/strong> ve buna kar\u015f\u0131l\u0131k gelen p de\u011ferinin 0,414<\/strong> oldu\u011funu g\u00f6rebiliriz.<\/span><\/p>\n
     Bu p de\u011feri 0,05’ten k\u00fc\u00e7\u00fck olmad\u0131\u011f\u0131ndan s\u0131f\u0131r hipotezini reddetmede ba\u015far\u0131s\u0131z olaca\u011f\u0131z. Bu, hp<\/em> veya silindir<\/em> \u00f6ng\u00f6r\u00fc de\u011fi\u015fkenlerinden herhangi birinin istatistiksel olarak anlaml\u0131 oldu\u011funu s\u00f6ylemek i\u00e7in yeterli kan\u0131ta sahip olmad\u0131\u011f\u0131m\u0131z anlam\u0131na gelir.<\/span><\/p>\n
     Ba\u015fka bir deyi\u015fle, regresyon modeline hp<\/em> ve silindirin<\/em> eklenmesi model uyumunu \u00f6nemli \u00f6l\u00e7\u00fcde iyile\u015ftirmemektedir.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"
    Bir regresyon modeli ile ayn\u0131 modelin i\u00e7 i\u00e7e ge\u00e7mi\u015f versiyonu aras\u0131nda istatistiksel olarak anlaml\u0131 bir fark olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in k\u0131smi F testi kullan\u0131l\u0131r. Yuvalanm\u0131\u015f bir model, genel regresyon modelinde \u00f6ng\u00f6r\u00fcc\u00fc de\u011fi\u015fkenlerin bir alt k\u00fcmesini i\u00e7eren bir modeldir. \u00d6rne\u011fin, d\u00f6rt \u00f6ng\u00f6r\u00fcc\u00fc de\u011fi\u015fkene sahip a\u015fa\u011f\u0131daki regresyon modeline sahip oldu\u011fumuzu varsayal\u0131m: Y = \u03b2 0 + \u03b2 […]<\/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-1254","post","type-post","status-publish","format-standard","hentry","category-rehber"],"yoast_head":"\nK\u0131smi F testi nedir? - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde k\u0131smi F testlerine bir \u00f6rnekle basit bir giri\u015f sa\u011flanmaktad\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\/kismi-f-testi\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"K\u0131smi F testi nedir? - Statorials\" \/>\n<meta property=\"og:description\" content=\"Bu e\u011fitimde k\u0131smi F testlerine bir \u00f6rnekle basit bir giri\u015f sa\u011flanmaktad\u0131r.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/kismi-f-testi\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-27T03:10:19+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=\"3 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/kismi-f-testi\/\",\"url\":\"https:\/\/statorials.org\/tr\/kismi-f-testi\/\",\"name\":\"K\u0131smi F testi nedir? - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-27T03:10:19+00:00\",\"dateModified\":\"2023-07-27T03:10:19+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Bu e\u011fitimde k\u0131smi F testlerine bir \u00f6rnekle basit bir giri\u015f sa\u011flanmaktad\u0131r.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/kismi-f-testi\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/kismi-f-testi\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/kismi-f-testi\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"K\u0131smi f testi nedir?\"}]},{\"@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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