{"id":616,"date":"2023-07-29T08:02:09","date_gmt":"2023-07-29T08:02:09","guid":{"rendered":"https:\/\/statorials.org\/tr\/ikinci-dereceden-regresyon-istatistikleri\/"},"modified":"2023-07-29T08:02:09","modified_gmt":"2023-07-29T08:02:09","slug":"ikinci-dereceden-regresyon-istatistikleri","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/ikinci-dereceden-regresyon-istatistikleri\/","title":{"rendered":"Stata'da ikinci dereceden regresyon nas\u0131l ger\u00e7ekle\u015ftirilir?"},"content":{"rendered":"

<\/p>\n

\n

\u0130ki de\u011fi\u015fkenin do\u011frusal bir ili\u015fkisi oldu\u011funda, ili\u015fkilerini \u00f6l\u00e7mek i\u00e7in<\/a><\/strong><\/span> s\u0131kl\u0131kla basit do\u011frusal regresyonu kullanabilirsiniz<\/span> . <\/p>\n

\"Do\u011frusal<\/p>\n

Bununla birlikte, iki de\u011fi\u015fkenin ikinci dereceden bir ili\u015fkisi oldu\u011funda, ili\u015fkilerini \u00f6l\u00e7mek i\u00e7in ikinci dereceden regresyonu<\/strong> kullanabilirsiniz.<\/span> <\/p>\n

\"\u0130kinci<\/p>\n

Bu e\u011fitimde Stata’da ikinci dereceden regresyonun nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r.<\/span><\/p>\n

\u00d6rnek: Stata’da ikinci dereceden regresyon<\/strong><\/span><\/h2>\n

\u00c7al\u0131\u015f\u0131lan saat say\u0131s\u0131 ile mutluluk aras\u0131ndaki ili\u015fkiyi anlamak istedi\u011fimizi varsayal\u0131m. 16 farkl\u0131 ki\u015fi i\u00e7in haftal\u0131k \u00e7al\u0131\u015f\u0131lan saat say\u0131s\u0131 ve rapor edilen mutluluk d\u00fczeyi (0’dan 100’e kadar bir \u00f6l\u00e7ekte) hakk\u0131nda a\u015fa\u011f\u0131daki verilere sahibiz:<\/span> <\/p>\n

\"Stata'da<\/p>\n

Bu \u00f6rne\u011fi, \u00fcst men\u00fcdeki Veri > Veri D\u00fczenleyici > Veri D\u00fczenleyici (D\u00fczenle) se\u00e7ene\u011fini<\/strong> kullanarak Stata’ya tam olarak bu veriyi girerek yeniden olu\u015fturabilirsiniz.<\/span><\/em><\/p>\n

Stata’da ikinci dereceden regresyon ger\u00e7ekle\u015ftirmek i\u00e7in a\u015fa\u011f\u0131daki ad\u0131mlar\u0131 kullan\u0131n.<\/span><\/p>\n

Ad\u0131m 1: Verileri g\u00f6rselle\u015ftirin.<\/strong><\/span><\/p>\n

\u0130kinci dereceden regresyonu kullanmadan \u00f6nce, a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fken (saat) ile yan\u0131t de\u011fi\u015fkeni (mutluluk) aras\u0131ndaki ili\u015fkinin ger\u00e7ekten ikinci dereceden oldu\u011fundan emin olmal\u0131y\u0131z.<\/span> \u015eimdi Komut kutusuna a\u015fa\u011f\u0131dakini yazarak<\/span> verileri bir da\u011f\u0131l\u0131m grafi\u011fi kullanarak g\u00f6rselle\u015ftirelim<\/span> :<\/p>\n

\n

mutluluk saatlerini da\u011f\u0131t<\/strong><\/span><\/p>\n<\/blockquote>\n

Bu, a\u015fa\u011f\u0131daki da\u011f\u0131l\u0131m grafi\u011fini \u00fcretir:<\/span> <\/p>\n

\"Stata'da<\/p>\n

Mutlulu\u011fun, \u00e7al\u0131\u015f\u0131lan saat say\u0131s\u0131 s\u0131f\u0131rdan belirli bir noktaya y\u00fckseldik\u00e7e artma e\u011filiminde oldu\u011funu, ancak \u00e7al\u0131\u015f\u0131lan saat say\u0131s\u0131 30’u a\u015ft\u0131\u011f\u0131nda azalmaya ba\u015flad\u0131\u011f\u0131n\u0131 g\u00f6rebiliriz.<\/span><\/p>\n

Da\u011f\u0131l\u0131m grafi\u011findeki bu ters “U” \u015fekli, \u00e7al\u0131\u015f\u0131lan saat ile mutluluk aras\u0131nda ikinci dereceden bir ili\u015fki oldu\u011funu g\u00f6sterir; bu, bu ili\u015fkiyi \u00f6l\u00e7mek i\u00e7in ikinci dereceden regresyon kullanmam\u0131z gerekti\u011fi anlam\u0131na gelir.<\/span><\/p>\n

Ad\u0131m 2: \u0130kinci dereceden regresyon ger\u00e7ekle\u015ftirin.<\/strong><\/span><\/p>\n

\u0130kinci dereceden regresyon modelini verilere uyarlamadan \u00f6nce saat<\/em> tahmin de\u011fi\u015fkenimizin kare de\u011ferleri i\u00e7in yeni bir de\u011fi\u015fken olu\u015fturmam\u0131z gerekiyor. Bunu Komut kutusuna a\u015fa\u011f\u0131dakini yazarak yapabiliriz:<\/span><\/p>\n

\n

gen saat2 = saat*saat<\/strong><\/span><\/p>\n<\/blockquote>\n

Bu yeni de\u011fi\u015fkeni \u00fcst men\u00fcden Veri > Veri D\u00fczenleyici > Veri D\u00fczenleyici (G\u00f6zat)<\/strong> k\u0131sm\u0131na giderek g\u00f6r\u00fcnt\u00fcleyebiliriz.<\/em><\/span> <\/p>\n

\"Stata'da<\/p>\n

Saat2’nin sadece saatlerin karesi oldu\u011funu g\u00f6rebiliriz. Art\u0131k a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenler olarak saatleri<\/em> ve saatleri2<\/em> ve yan\u0131t de\u011fi\u015fkeni olarak mutlulu\u011fu<\/em> kullanarak ikinci dereceden bir regresyon ger\u00e7ekle\u015ftirebiliriz. \u0130kinci dereceden regresyon ger\u00e7ekle\u015ftirmek i\u00e7in Komut kutusuna a\u015fa\u011f\u0131dakini yaz\u0131n:<\/span><\/p>\n

\n

mutluluk saatlerinin gerileme saatleri2<\/strong><\/span> <\/p>\n<\/blockquote>\n

\"Stata'da<\/p>\n

Sonu\u00e7taki en ilgin\u00e7 say\u0131lar\u0131 nas\u0131l yorumlayaca\u011f\u0131n\u0131z a\u015fa\u011f\u0131da a\u00e7\u0131klanm\u0131\u015ft\u0131r:<\/span><\/p>\n

Olas\u0131l\u0131k > F:<\/strong> 0,000. Bu, genel regresyonun p de\u011feridir. Bu de\u011fer 0,05’ten k\u00fc\u00e7\u00fck oldu\u011fundan, bu, yorday\u0131c\u0131 de\u011fi\u015fkenler saat<\/em> ve saat 2’nin<\/sup><\/em> birle\u015fiminin mutluluk<\/em> yan\u0131t de\u011fi\u015fkeni ile istatistiksel olarak anlaml\u0131 bir ili\u015fkiye sahip oldu\u011fu anlam\u0131na gelir.<\/span><\/p>\n

R kare:<\/strong> 0,9092. Bu, a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fken taraf\u0131ndan a\u00e7\u0131klanabilen yan\u0131t de\u011fi\u015fkenindeki varyans\u0131n oran\u0131d\u0131r. Bu \u00f6rnekte mutluluktaki de\u011fi\u015fimin %90,92’si saat<\/em> ve saatlerle a\u00e7\u0131klanabilmektedir 2<\/sup><\/em> .<\/span><\/p>\n

Regresyon denklemi:<\/strong> \u00c7\u0131kt\u0131 tablosunda g\u00f6sterilen katsay\u0131 de\u011ferlerini kullanarak regresyon denklemi olu\u015fturabiliriz. Bu durumda denklem \u015fu \u015fekilde olacakt\u0131r:<\/span><\/p>\n

tahmin edilen mutluluk = -30,25287 + 7,173061 (saat) \u2013 0,1069887 ( 2<\/sup> saat)<\/span><\/p>\n

Bu denklemi, bir bireyin haftada ka\u00e7 saat \u00e7al\u0131\u015ft\u0131\u011f\u0131 g\u00f6z \u00f6n\u00fcne al\u0131nd\u0131\u011f\u0131nda tahmin edilen mutlulu\u011funu bulmak i\u00e7in kullanabiliriz.<\/span><\/p>\n

\u00d6rne\u011fin haftada 60 saat \u00e7al\u0131\u015fan bir ki\u015finin mutluluk d\u00fczeyi 14,97 olmal\u0131d\u0131r:<\/span><\/p>\n

tahmin edilen mutluluk = -30,25287 + 7,173061(60) \u2013 0,1069887(60 2<\/sup> ) = 14,97<\/strong> .<\/span><\/p>\n

Haftada 30 saat \u00e7al\u0131\u015fan bir ki\u015finin ise<\/span> mutluluk d\u00fczeyinin 88,65 olmas\u0131 gerekiyor:<\/span><\/p>\n

tahmin edilen mutluluk = -30,25287 + 7,173061(30) \u2013 0,1069887(30 2<\/sup> ) = 88,65<\/strong> .<\/span><\/p>\n

Ad\u0131m 3: Sonu\u00e7lar\u0131 rapor edin.<\/strong><\/span><\/p>\n

Son olarak ikinci dereceden regresyonumuzun sonu\u00e7lar\u0131n\u0131 bildirmek istiyoruz. \u0130\u015fte bunun nas\u0131l yap\u0131laca\u011f\u0131na dair bir \u00f6rnek:<\/span><\/p>\n

\n

Bir bireyin \u00e7al\u0131\u015ft\u0131\u011f\u0131 saat say\u0131s\u0131 ile buna kar\u015f\u0131l\u0131k gelen mutluluk d\u00fczeyi (0’dan 100’e kadar \u00f6l\u00e7\u00fcl\u00fcr) aras\u0131ndaki ili\u015fkiyi \u00f6l\u00e7mek i\u00e7in ikinci dereceden bir regresyon uyguland\u0131. Analizde 16 ki\u015filik bir \u00f6rneklem kullan\u0131ld\u0131.<\/span><\/p>\n

Sonu\u00e7lar a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenler saat<\/em> ve saat 2<\/sup><\/em> ile yan\u0131t de\u011fi\u015fkeni mutluluk<\/em> aras\u0131nda istatistiksel olarak anlaml\u0131 bir ili\u015fki oldu\u011funu g\u00f6sterdi (F(2, 13) = 65.09, p < 0.0001).<\/span><\/p>\n

Bu iki a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fken birlikte mutlulukta a\u00e7\u0131klanan de\u011fi\u015fkenli\u011fin %90,92’sini olu\u015fturuyordu.<\/span><\/p>\n

Regresyon denklemi \u015fu \u015fekilde ortaya \u00e7\u0131kt\u0131:<\/span><\/p>\n

tahmin edilen mutluluk = -30,25287 + 7,173061 (saat) \u2013 0,1069887 ( 2<\/sup> saat)<\/span><\/p>\n<\/blockquote>\n","protected":false},"excerpt":{"rendered":"

\u0130ki de\u011fi\u015fkenin do\u011frusal bir ili\u015fkisi oldu\u011funda, ili\u015fkilerini \u00f6l\u00e7mek i\u00e7in s\u0131kl\u0131kla basit do\u011frusal regresyonu kullanabilirsiniz . Bununla birlikte, iki de\u011fi\u015fkenin ikinci dereceden bir ili\u015fkisi oldu\u011funda, ili\u015fkilerini \u00f6l\u00e7mek i\u00e7in ikinci dereceden regresyonu kullanabilirsiniz. Bu e\u011fitimde Stata’da ikinci dereceden regresyonun nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r. \u00d6rnek: Stata’da ikinci dereceden regresyon \u00c7al\u0131\u015f\u0131lan saat say\u0131s\u0131 ile mutluluk aras\u0131ndaki ili\u015fkiyi anlamak istedi\u011fimizi varsayal\u0131m. […]<\/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-616","post","type-post","status-publish","format-standard","hentry","category-rehber"],"yoast_head":"\nStata'da ikinci dereceden regresyon nas\u0131l ger\u00e7ekle\u015ftirilir - Statorials<\/title>\n<meta name=\"description\" content=\"Ad\u0131m ad\u0131m \u00f6rnek de dahil olmak \u00fczere Stata'da ikinci dereceden regresyonun nas\u0131l ger\u00e7ekle\u015ftirilece\u011fine ili\u015fkin 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\/ikinci-dereceden-regresyon-istatistikleri\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Stata'da ikinci dereceden regresyon nas\u0131l ger\u00e7ekle\u015ftirilir - 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