{"id":674,"date":"2023-07-29T03:29:17","date_gmt":"2023-07-29T03:29:17","guid":{"rendered":"https:\/\/statorials.org\/tr\/mann-kendall-trend-testi-r\/"},"modified":"2023-07-29T03:29:17","modified_gmt":"2023-07-29T03:29:17","slug":"mann-kendall-trend-testi-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/mann-kendall-trend-testi-r\/","title":{"rendered":"R&#39;de mann-kendall trend testi nas\u0131l yap\u0131l\u0131r?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Zaman serisi verilerinde trend olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in <strong>Mann-Kendall trend testi<\/strong> kullan\u0131lmaktad\u0131r. Bu parametrik olmayan bir testtir, yani verilerin normalli\u011fi hakk\u0131nda hi\u00e7bir temel varsay\u0131m yap\u0131lmaz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Test hipotezleri a\u015fa\u011f\u0131daki gibidir:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> (s\u0131f\u0131r hipotezi):<\/strong> verilerde herhangi bir e\u011filim mevcut de\u011fildir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>H <sub>A<\/sub> (alternatif hipotez):<\/strong> Verilerde bir e\u011filim mevcuttur. (Bu olumlu ya da olumsuz bir e\u011filim olabilir)<\/span><\/p>\n<p> <span style=\"color: #000000;\">Testin p de\u011feri belirli bir anlaml\u0131l\u0131k d\u00fczeyinin alt\u0131ndaysa (ortak se\u00e7enekler 0,10, 0,05 ve 0,01&#8217;dir), o zaman zaman serisinden elde edilen verilerde bir e\u011filimin mevcut oldu\u011funa dair istatistiksel olarak anlaml\u0131 bir kan\u0131t vard\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu e\u011fitimde R&#8217;de Mann-Kendall e\u011filim testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek: R&#8217;de Mann-Kendall trend testi<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">R&#8217;de bir Mann-Kendall e\u011filim testi ger\u00e7ekle\u015ftirmek i\u00e7in <strong>Kendall<\/strong> k\u00fct\u00fcphanesindeki a\u015fa\u011f\u0131daki s\u00f6zdizimini kullanan <strong>MannKendall()<\/strong> i\u015flevini kullanaca\u011f\u0131z:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>MannKendall(x)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>x<\/strong> = bir veri vekt\u00f6r\u00fc, \u00e7o\u011funlukla bir zaman serisi<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Testin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fini g\u00f6stermek i\u00e7in, 1900&#8217;den 1986&#8217;ya kadar t\u00fcm B\u00fcy\u00fck G\u00f6ller i\u00e7in y\u0131ll\u0131k ya\u011f\u0131\u015f bilgilerini i\u00e7eren <strong>Kendall<\/strong> K\u00fct\u00fcphanesi&#8217;nin yerle\u015fik <strong>PrecipGL<\/strong> veri setini kullanaca\u011f\u0131z:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#load Kendall library and PrecipGL dataset<\/span>\nlibrary(Kendall)\ndata(PrecipGL)\n\n<span style=\"color: #008080;\">#view dataset<\/span>\nPrecipGL\n\nTime Series:\nStart = 1900 \nEnd = 1986 \nFrequency = 1 \n[1] 31.69 29.77 31.70 33.06 31.31 32.72 31.18 29.90 29.17 31.48 28.11 32.61\n[13] 31.31 30.96 28.40 30.68 33.67 28.65 30.62 30.21 28.79 30.92 30.92 28.13\n[25] 30.51 27.63 34.80 32.10 33.86 32.33 25.69 30.60 32.85 30.31 27.71 30.34\n[37] 29.14 33.41 33.51 29.90 32.69 32.34 35.01 33.05 31.15 36.36 29.83 33.70\n[49] 29.81 32.41 35.90 37.45 30.39 31.15 35.75 31.14 30.06 32.40 28.44 36.38\n[61] 31.73 31.27 28.51 26.01 31.27 35.57 30.85 33.35 35.82 31.78 34.25 31.43\n[73] 35.97 33.87 28.94 34.62 31.06 38.84 32.25 35.86 32.93 32.69 34.39 33.97\n[85] 32.15 40.16 36.32\nattr(,\"title\")\n[1] Annual precipitation, 1900-1986, Entire Great Lakes\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Verilerde trend olup olmad\u0131\u011f\u0131n\u0131 g\u00f6rmek i\u00e7in Mann-Kendall trend testini yapabiliriz:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#Perform the Mann-Kendall Trend Test<\/span>\nMannKendall(PrecipGL)\n\ntau = 0.265, 2-sided pvalue = 0.00029206\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Test istatisti\u011fi <strong>0,265&#8217;tir<\/strong> ve kar\u015f\u0131l\u0131k gelen iki kuyruklu p de\u011feri <strong>0,00029206&#8217;d\u0131r<\/strong> . Bu p de\u011feri 0,05&#8217;ten k\u00fc\u00e7\u00fck oldu\u011fundan testin s\u0131f\u0131r hipotezini reddedece\u011fiz ve verilerde bir e\u011filimin mevcut oldu\u011fu sonucuna varaca\u011f\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Trendi g\u00f6rselle\u015ftirmek i\u00e7in y\u0131ll\u0131k ya\u011f\u0131\u015flar\u0131n zaman \u00e7izelgesini olu\u015fturabilir ve trendi temsil edecek d\u00fcz bir \u00e7izgi ekleyebiliriz:<\/span> <\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#Plot the time series data<\/span>\nplot(PrecipGL)\n\n<span style=\"color: #008080;\">#Add a smooth line to visualize the trend<\/span> \nlines(lowess(time(PrecipGL),PrecipGL), col='blue')\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-6485 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/mannkendall1.png\" alt=\"D\u00fczg\u00fcn \u00e7izgi i\u00e7eren zaman serisi grafi\u011fi\" width=\"414\" height=\"380\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Ayr\u0131ca <strong>SeasonalMannKendall(x)<\/strong> komutunu kullanarak verilerdeki herhangi bir mevsimselli\u011fi hesaba katmak i\u00e7in mevsimsellikten ar\u0131nd\u0131r\u0131lm\u0131\u015f bir Mann-Kendall trend testi de ger\u00e7ekle\u015ftirebilece\u011fimizi unutmay\u0131n:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#Perform a seasonally-adjusted Mann-Kendall Trend Test<\/span>\nSeasonalMannKendall(PrecipGL)\n\ntau = 0.265, 2-sided pvalue = 0.00028797\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Test istatisti\u011fi <strong>0,265&#8217;tir<\/strong> ve kar\u015f\u0131l\u0131k gelen iki kuyruklu p de\u011feri <strong>0,00028797&#8217;dir<\/strong> . Bu p de\u011feri yine 0,05&#8217;ten k\u00fc\u00e7\u00fckt\u00fcr, dolay\u0131s\u0131yla testin s\u0131f\u0131r hipotezini reddedece\u011fiz ve verilerde bir e\u011filimin mevcut oldu\u011fu sonucuna varaca\u011f\u0131z.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Zaman serisi verilerinde trend olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in Mann-Kendall trend testi kullan\u0131lmaktad\u0131r. Bu parametrik olmayan bir testtir, yani verilerin normalli\u011fi hakk\u0131nda hi\u00e7bir temel varsay\u0131m yap\u0131lmaz. Test hipotezleri a\u015fa\u011f\u0131daki gibidir: H 0 (s\u0131f\u0131r hipotezi): verilerde herhangi bir e\u011filim mevcut de\u011fildir. H A (alternatif hipotez): Verilerde bir e\u011filim mevcuttur. (Bu olumlu ya da olumsuz bir e\u011filim olabilir) [&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-674","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>R - Statorials&#039;de Mann-Kendall trend testi nas\u0131l yap\u0131l\u0131r?<\/title>\n<meta name=\"description\" content=\"Ad\u0131m ad\u0131m \u00f6rnek de dahil olmak \u00fczere R&#039;de Mann-Kendall e\u011filim testinin 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\/mann-kendall-trend-testi-r\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"R - 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