{"id":3245,"date":"2023-07-18T12:02:07","date_gmt":"2023-07-18T12:02:07","guid":{"rendered":"https:\/\/statorials.org\/tr\/sifir-hipotezi-ne-zaman-reddedilir\/"},"modified":"2023-07-18T12:02:07","modified_gmt":"2023-07-18T12:02:07","slug":"sifir-hipotezi-ne-zaman-reddedilir","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/sifir-hipotezi-ne-zaman-reddedilir\/","title":{"rendered":"S\u0131f\u0131r hipotezi ne zaman reddedilir? (3 \u00f6rnek)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/hipotez-testi-1\/\" target=\"_blank\" rel=\"noopener\">Hipotez testi,<\/a> istatistiksel bir hipotezi reddetmek veya reddetmek i\u00e7in kulland\u0131\u011f\u0131m\u0131z resmi bir istatistiksel testtir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Hipotez testini ger\u00e7ekle\u015ftirmek i\u00e7in her zaman a\u015fa\u011f\u0131daki ad\u0131mlar\u0131 kullan\u0131r\u0131z:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 1: Bo\u015f ve alternatif hipotezleri belirtin.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><sub>H0<\/sub> ile g\u00f6sterilen <strong>s\u0131f\u0131r hipotezi<\/strong> , \u00f6rnek verilerin yaln\u0131zca \u015fans eseri geldi\u011fi hipotezidir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><sub>HA<\/sub> olarak adland\u0131r\u0131lan <strong>alternatif hipotez<\/strong> , \u00f6rnek verilerin rastgele olmayan bir nedenden etkilendi\u011fi hipotezidir.<\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">2. Kullan\u0131lacak bir \u00f6nem d\u00fczeyi belirleyin.<\/span><\/strong><\/p>\n<p> <span style=\"color: #000000;\">Bir \u00f6nem d\u00fczeyine karar verin. Ortak se\u00e7enekler 0,01, 0,05 ve 0,1&#8217;dir.<\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">3. Test istatisti\u011fini ve p de\u011ferini hesaplay\u0131n.<\/span><\/strong><\/p>\n<p> <span style=\"color: #000000;\">Bir test istatisti\u011fini ve kar\u015f\u0131l\u0131k gelen <a href=\"https:\/\/statorials.org\/tr\/p-degerleri-istatistiksel-anlamlilik\/\" target=\"_blank\" rel=\"noopener\">p de\u011ferini<\/a> hesaplamak i\u00e7in \u00f6rnek verileri kullan\u0131n.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>4. S\u0131f\u0131r hipotezini reddedin veya reddetmeyin.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">P de\u011feri anlaml\u0131l\u0131k seviyesinin alt\u0131ndaysa s\u0131f\u0131r hipotezini reddedersiniz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">P de\u011feri anlaml\u0131l\u0131k seviyesinin alt\u0131nda de\u011filse s\u0131f\u0131r hipotezini reddedemezsiniz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu kural\u0131 hat\u0131rlamak i\u00e7in a\u015fa\u011f\u0131daki \u015f\u0131k sat\u0131r\u0131 kullanabilirsiniz:<\/span><\/p>\n<blockquote>\n<p> <strong><span style=\"color: #000000;\">&#8220;E\u011fer p zay\u0131fsa, s\u0131f\u0131r\u0131n ortadan kalkmas\u0131 gerekir.&#8221;<\/span><\/strong><\/p>\n<\/blockquote>\n<p> <span style=\"color: #000000;\">Ba\u015fka bir deyi\u015fle, p de\u011feri yeterince d\u00fc\u015f\u00fckse s\u0131f\u0131r hipotezini reddetmemiz gerekir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnekler, en yayg\u0131n hipotez testi t\u00fcrleri i\u00e7in bo\u015f hipotezin ne zaman reddedilece\u011fini (veya reddedilmeyece\u011fini) g\u00f6sterir.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u00d6rnek 1: Tek \u00f6rnekli t testi<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/ornek-t-testi\/\" target=\"_blank\" rel=\"noopener\">Tek \u00f6rnekli t testi,<\/a> bir pop\u00fclasyonun ortalamas\u0131n\u0131n belirli bir de\u011fere e\u015fit olup olmad\u0131\u011f\u0131n\u0131 test etmek i\u00e7in kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, belirli bir kaplumba\u011fa t\u00fcr\u00fcn\u00fcn ortalama a\u011f\u0131rl\u0131\u011f\u0131n\u0131n 310 pound olup olmad\u0131\u011f\u0131n\u0131 bilmek istedi\u011fimizi varsayal\u0131m.<\/span><\/p>\n<p> <span style=\"color: #000000;\">D\u0131\u015far\u0131 \u00e7\u0131k\u0131yoruz ve a\u015fa\u011f\u0131daki bilgilerle birlikte 40 kaplumba\u011fadan olu\u015fan basit ve rastgele bir \u00f6rnek topluyoruz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u00d6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc n = 40<\/span><\/li>\n<li> <span style=\"color: #000000;\">Ortalama numune a\u011f\u0131rl\u0131\u011f\u0131 <span style=\"text-decoration: overline;\">x<\/span> = 300<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u00d6rneklem standart sapmas\u0131 s = 18,5<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Tek \u00f6rnekli t testi ger\u00e7ekle\u015ftirmek i\u00e7in a\u015fa\u011f\u0131daki ad\u0131mlar\u0131 kullanabiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 1: Bo\u015f ve alternatif hipotezleri belirtin<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Tek \u00f6rnek t-testini a\u015fa\u011f\u0131daki hipotezlerle ger\u00e7ekle\u015ftirece\u011fiz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> \u03bc = 310 (N\u00fcfus ortalamas\u0131 310 kitaba e\u015fittir)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>A<\/sub> :<\/strong> \u03bc \u2260 310 (n\u00fcfus ortalamas\u0131 310 pound&#8217;a e\u015fit de\u011fildir)<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>2. Kullan\u0131lacak bir \u00f6nem d\u00fczeyi belirleyin.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>0,05<\/strong> anlaml\u0131l\u0131k d\u00fczeyini kullanmay\u0131 se\u00e7ece\u011fiz.<\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">3. Test istatisti\u011fini ve p de\u011ferini hesaplay\u0131n.<\/span><\/strong><\/p>\n<p> <span style=\"color: #000000;\">Test istatisti\u011fini ve p de\u011ferini hesaplamak i\u00e7in numune boyutu, numune ortalamas\u0131 ve numune standart sapmas\u0131 say\u0131lar\u0131n\u0131 bu<a href=\"https:\/\/statorials.org\/tr\/ornek-bir-t-testi-hesaplayicisi\/\" target=\"_blank\" rel=\"noopener\">tek numuneli t testi hesaplay\u0131c\u0131s\u0131na<\/a> ekleyebiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">t-testi istatisti\u011fi: -3.4187<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u0130ki tarafl\u0131 p de\u011feri: 0,0015<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>4. S\u0131f\u0131r hipotezini reddedin veya reddetmeyin.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">P de\u011feri (0,0015) anlaml\u0131l\u0131k seviyesinden (0,05) k\u00fc\u00e7\u00fck oldu\u011fundan <strong>s\u0131f\u0131r hipotezini reddediyoruz<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu pop\u00fclasyondaki kaplumba\u011falar\u0131n ortalama a\u011f\u0131rl\u0131\u011f\u0131n\u0131n 310 pound&#8217;a e\u015fit olmad\u0131\u011f\u0131n\u0131 belirtmek i\u00e7in yeterli kan\u0131t\u0131n oldu\u011fu sonucuna vard\u0131k.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u00d6rnek 2: \u0130ki \u00f6rnekli t testi<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/iki-orneginizi-test-edin\/\" target=\"_blank\" rel=\"noopener\">\u0130ki \u00f6rneklem t testi,<\/a> iki pop\u00fclasyonun ortalamalar\u0131n\u0131n e\u015fit olup olmad\u0131\u011f\u0131n\u0131 test etmek i\u00e7in kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin iki farkl\u0131 kaplumba\u011fa t\u00fcr\u00fcn\u00fcn ortalama a\u011f\u0131rl\u0131\u011f\u0131n\u0131n e\u015fit olup olmad\u0131\u011f\u0131n\u0131 bilmek istedi\u011fimizi varsayal\u0131m.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Her pop\u00fclasyondan a\u015fa\u011f\u0131daki bilgileri i\u00e7eren basit rastgele bir \u00f6rnek topluyoruz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u00d6rnek 1:<\/strong><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u00d6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc n <sub>1<\/sub> = 40<\/span><\/li>\n<li> <span style=\"color: #000000;\">Ortalama numune a\u011f\u0131rl\u0131\u011f\u0131 <span style=\"text-decoration: overline;\">x<\/span> <sub>1<\/sub> = 300<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u00d6rneklem standart sapmas\u0131 s <sub>1<\/sub> = 18,5<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>\u00d6rnek 2:<\/strong><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u00d6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc n <sub>2<\/sub> = 38<\/span><\/li>\n<li> <span style=\"color: #000000;\">Ortalama numune a\u011f\u0131rl\u0131\u011f\u0131 <span style=\"text-decoration: overline;\">x<\/span> <sub>2<\/sub> = 305<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u00d6rneklem standart sapmas\u0131 s <sub>2<\/sub> = 16,7<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u0130ki \u00f6rnekli t testi ger\u00e7ekle\u015ftirmek i\u00e7in a\u015fa\u011f\u0131daki ad\u0131mlar\u0131 kullanabiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 1: Bo\u015f ve alternatif hipotezleri belirtin<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130ki \u00f6rnekli t testini a\u015fa\u011f\u0131daki varsay\u0131mlarla ger\u00e7ekle\u015ftirece\u011fiz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> \u03bc <sub>1<\/sub> = \u03bc <sub>2<\/sub> (iki pop\u00fclasyon ortalamas\u0131 e\u015fittir)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>1<\/sub> :<\/strong> \u03bc <sub>1<\/sub> \u2260 \u03bc <sub>2<\/sub> (iki pop\u00fclasyon ortalamas\u0131 e\u015fit de\u011fildir)<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>2. Kullan\u0131lacak bir \u00f6nem d\u00fczeyi belirleyin.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>0,10<\/strong> anlaml\u0131l\u0131k d\u00fczeyini kullanmay\u0131 se\u00e7ece\u011fiz.<\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">3. Test istatisti\u011fini ve p de\u011ferini hesaplay\u0131n.<\/span><\/strong><\/p>\n<p> <span style=\"color: #000000;\">Test istatisti\u011fini ve p de\u011ferini hesaplamak i\u00e7in numune boyutlar\u0131, numune ortalamalar\u0131 ve numune standart sapmalar\u0131na ili\u015fkin say\u0131lar\u0131 bu <a href=\"https:\/\/statorials.org\/tr\/ta-test-hesap-makinesi-iki-ornek\/\" target=\"_blank\" rel=\"noopener\">iki numuneli t testi hesaplay\u0131c\u0131s\u0131na<\/a> ekleyebiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">t-testi istatisti\u011fi: -1.2508<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u0130ki tarafl\u0131 p de\u011feri: 0,2149<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>4. S\u0131f\u0131r hipotezini reddedin veya reddetmeyin.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">P de\u011feri (0,2149) anlaml\u0131l\u0131k seviyesinden (0,10) k\u00fc\u00e7\u00fck olmad\u0131\u011f\u0131ndan <strong>s\u0131f\u0131r hipotezini reddedemiyoruz<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu iki pop\u00fclasyon aras\u0131ndaki kaplumba\u011falar\u0131n ortalama a\u011f\u0131rl\u0131\u011f\u0131n\u0131n farkl\u0131 oldu\u011funu s\u00f6yleyecek yeterli kan\u0131t\u0131m\u0131z yok.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u00d6rnek 3: E\u015fle\u015ftirilmi\u015f \u00f6rnekler t testi<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/eslestirilmis-ornekler-t-testi\/\" target=\"_blank\" rel=\"noopener\">E\u015fle\u015ftirilmi\u015f \u00f6rnekler t-testi,<\/a> bir \u00f6rnekteki her g\u00f6zlemin di\u011fer \u00f6rnekteki bir g\u00f6zlemle ili\u015fkilendirilebildi\u011fi durumlarda iki \u00f6rne\u011fin ortalamalar\u0131n\u0131 kar\u015f\u0131la\u015ft\u0131rmak i\u00e7in kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, belirli bir antrenman program\u0131n\u0131n kolej basketbol oyuncular\u0131n\u0131n maksimum dikey s\u0131\u00e7ramas\u0131n\u0131 art\u0131r\u0131p art\u0131rmad\u0131\u011f\u0131n\u0131 bilmek istedi\u011fimizi varsayal\u0131m.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bunu test etmek i\u00e7in, 20 \u00fcniversite basketbol oyuncusundan olu\u015fan <a href=\"https:\/\/statorials.org\/tr\/ornekleme-yontemleri\/\" target=\"_blank\" rel=\"noopener\">basit rastgele bir \u00f6rneklemi<\/a> i\u015fe alabilir ve onlar\u0131n maksimum dikey s\u0131\u00e7ramalar\u0131n\u0131n her birini \u00f6l\u00e7ebiliriz. Daha sonra her oyuncunun bir ay boyunca antrenman program\u0131n\u0131 kullanmas\u0131n\u0131 sa\u011flayabiliriz ve ay sonunda maksimum dikey s\u0131\u00e7ramalar\u0131n\u0131 tekrar \u00f6l\u00e7ebiliriz:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-7956 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/jumelet1.png\" alt=\"\u00d6rnek E\u015fle\u015ftirilmi\u015f T Testi Veri K\u00fcmesi\" width=\"348\" height=\"443\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">E\u015fle\u015ftirilmi\u015f \u00f6rnekler t-testi ger\u00e7ekle\u015ftirmek i\u00e7in a\u015fa\u011f\u0131daki ad\u0131mlar\u0131 kullanabiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 1: Bo\u015f ve alternatif hipotezleri belirtin<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">E\u015fle\u015ftirilmi\u015f \u00f6rnekler i\u00e7in t-testini a\u015fa\u011f\u0131daki hipotezlerle ger\u00e7ekle\u015ftirece\u011fiz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> \u03bc <sub>\u00f6nce<\/sub> = \u03bc <sub>sonra<\/sub> (iki pop\u00fclasyon ortalamas\u0131 e\u015fittir)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>1<\/sub> :<\/strong> \u03bc <sub>\u00f6nce<\/sub> \u2260 \u03bc <sub>sonra<\/sub> (iki pop\u00fclasyon ortalamas\u0131 e\u015fit de\u011fildir)<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>2. Kullan\u0131lacak bir \u00f6nem d\u00fczeyi belirleyin.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>0,01<\/strong> anlaml\u0131l\u0131k d\u00fczeyini kullanmay\u0131 se\u00e7ece\u011fiz.<\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">3. Test istatisti\u011fini ve p de\u011ferini hesaplay\u0131n.<\/span><\/strong><\/p>\n<p> <span style=\"color: #000000;\">Test istatisti\u011fini ve p de\u011ferini hesaplamak i\u00e7in her numuneden gelen ham verileri bu <a href=\"https:\/\/statorials.org\/tr\/eslestirilmis-ornekler-t-testi-hesaplayicisi\/\" target=\"_blank\" rel=\"noopener\">e\u015fle\u015ftirilmi\u015f numune t-testi hesaplay\u0131c\u0131s\u0131na<\/a> ba\u011flayabiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">t-testi istatisti\u011fi: -3,226<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u0130ki tarafl\u0131 p de\u011feri: 0,0045<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>4. S\u0131f\u0131r hipotezini reddedin veya reddetmeyin.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">P de\u011feri (0,0045) anlaml\u0131l\u0131k seviyesinden (0,01) k\u00fc\u00e7\u00fck oldu\u011fundan <strong>s\u0131f\u0131r hipotezini reddediyoruz<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Antrenman program\u0131na kat\u0131l\u0131m \u00f6ncesi ve sonras\u0131 ortalama dikey s\u0131\u00e7raman\u0131n e\u015fit olmad\u0131\u011f\u0131n\u0131 s\u00f6yleyecek yeterli kan\u0131t\u0131m\u0131z var.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Bonus: karar kurallar\u0131 hesaplay\u0131c\u0131s\u0131<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Test istatisti\u011finin de\u011ferine dayal\u0131 olarak bir hipotez testi i\u00e7in s\u0131f\u0131r hipotezinin reddedilip reddedilmeyece\u011fini otomatik olarak belirlemek i\u00e7in bu <a href=\"https:\/\/statorials.org\/tr\/karar-kurali-hesaplayicisi\/\" target=\"_blank\" rel=\"noopener\">karar kurallar\u0131 hesaplay\u0131c\u0131s\u0131n\u0131<\/a> kullanabilirsiniz.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Hipotez testi, istatistiksel bir hipotezi reddetmek veya reddetmek i\u00e7in kulland\u0131\u011f\u0131m\u0131z resmi bir istatistiksel testtir. Hipotez testini ger\u00e7ekle\u015ftirmek i\u00e7in her zaman a\u015fa\u011f\u0131daki ad\u0131mlar\u0131 kullan\u0131r\u0131z: Ad\u0131m 1: Bo\u015f ve alternatif hipotezleri belirtin. H0 ile g\u00f6sterilen s\u0131f\u0131r hipotezi , \u00f6rnek verilerin yaln\u0131zca \u015fans eseri geldi\u011fi hipotezidir. HA olarak adland\u0131r\u0131lan alternatif hipotez , \u00f6rnek verilerin rastgele olmayan bir nedenden [&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-3245","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>S\u0131f\u0131r hipotezi ne zaman reddedilir? 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