{"id":4299,"date":"2023-07-12T04:44:09","date_gmt":"2023-07-12T04:44:09","guid":{"rendered":"https:\/\/statorials.org\/tr\/p-degeri-pandalar-korelasyonu\/"},"modified":"2023-07-12T04:44:09","modified_gmt":"2023-07-12T04:44:09","slug":"p-degeri-pandalar-korelasyonu","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/p-degeri-pandalar-korelasyonu\/","title":{"rendered":"Pandalarda korelasyon katsay\u0131s\u0131n\u0131n p de\u011feri nas\u0131l bulunur?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/pearson-korelasyon-katsayisi-1\/\" target=\"_blank\" rel=\"noopener\">Pearson korelasyon katsay\u0131s\u0131<\/a> iki de\u011fi\u015fken aras\u0131ndaki do\u011frusal ili\u015fkiyi \u00f6l\u00e7mek i\u00e7in kullan\u0131labilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu korelasyon katsay\u0131s\u0131 her zaman <strong>-1<\/strong> ile <strong>1<\/strong> aras\u0131nda bir de\u011fer al\u0131r; burada:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>-1<\/strong> : \u0130ki de\u011fi\u015fken aras\u0131nda m\u00fckemmel negatif do\u011frusal korelasyon.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>0<\/strong> : \u0130ki de\u011fi\u015fken aras\u0131nda do\u011frusal bir ili\u015fki yok.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>1:<\/strong> \u0130ki de\u011fi\u015fken aras\u0131nda m\u00fckemmel pozitif do\u011frusal korelasyon.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bir korelasyon katsay\u0131s\u0131n\u0131n istatistiksel olarak anlaml\u0131 olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in kar\u015f\u0131l\u0131k gelen t-puan\u0131n\u0131 ve p-de\u011ferini hesaplayabilirsiniz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Korelasyon katsay\u0131s\u0131n\u0131n (r) t-puan\u0131n\u0131 hesaplama form\u00fcl\u00fc \u015f\u00f6yledir:<\/span><\/p>\n<p> <span style=\"color: #000000;\">t = r\u221a <span style=\"border-top: 1px solid black;\">n-2<\/span> \/ \u221a <span style=\"border-top: 1px solid black;\">1-r <sup>2<\/sup><\/span><\/span><\/p>\n<p> <span style=\"color: #000000;\">P-de\u011feri, n-2 serbestlik derecesine sahip t-da\u011f\u0131l\u0131m\u0131 i\u00e7in kar\u015f\u0131l\u0131k gelen iki kuyruklu p-de\u011feri olarak hesaplan\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Pandalarda Pearson korelasyon katsay\u0131s\u0131n\u0131n p de\u011ferini hesaplamak i\u00e7in <strong>SciPy<\/strong> k\u00fct\u00fcphanesindeki <strong>pearsonr()<\/strong> fonksiyonunu kullanabilirsiniz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">from<\/span> scipy. <span style=\"color: #3366ff;\">stats<\/span> <span style=\"color: #008000;\">import<\/span> pearsonr\n\npearsonr(df[' <span style=\"color: #ff0000;\">column1<\/span> '], df[' <span style=\"color: #ff0000;\">column2<\/span> '])\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Bu i\u015flev, <strong>s\u00fctun1<\/strong> ve <strong>s\u00fctun2<\/strong> aras\u0131ndaki Pearson korelasyon katsay\u0131s\u0131n\u0131 ve bize korelasyon katsay\u0131s\u0131n\u0131n istatistiksel olarak anlaml\u0131 olup olmad\u0131\u011f\u0131n\u0131 s\u00f6yleyen kar\u015f\u0131l\u0131k gelen p de\u011ferini d\u00f6nd\u00fcrecektir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir DataFrame&#8217;deki her olas\u0131 ikili s\u00fctun kombinasyonunun Pearson korelasyon katsay\u0131s\u0131n\u0131n p de\u011ferini hesaplamak istiyorsan\u0131z, bunu yapmak i\u00e7in a\u015fa\u011f\u0131daki \u00f6zel i\u015flevi kullanabilirsiniz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008000;\">def<\/span> r_pvalues(df):\n    cols = pd. <span style=\"color: #3366ff;\">DataFrame<\/span> (columns= <span style=\"color: #3366ff;\">df.columns<\/span> )\n    p = cols. <span style=\"color: #3366ff;\">transpose<\/span> (). <span style=\"color: #3366ff;\">join<\/span> (cols, how=' <span style=\"color: #ff0000;\">outer<\/span> ')\n    <span style=\"color: #008000;\">for<\/span> r <span style=\"color: #008000;\">in<\/span> df. <span style=\"color: #3366ff;\">columns<\/span> :\n        <span style=\"color: #008000;\">for<\/span> c <span style=\"color: #008000;\">in<\/span> df. <span style=\"color: #3366ff;\">columns<\/span> :\n            tmp = df[df[r]. <span style=\"color: #3366ff;\">notnull<\/span> () &amp; df[c]. <span style=\"color: #3366ff;\">notnull<\/span> ()]\n            p[r][c] = round(pearsonr(tmp[r], tmp[c])[1], 4)\n    <span style=\"color: #008000;\">return<\/span> p\n<\/strong><\/span><\/pre>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnekler, a\u015fa\u011f\u0131daki pandalar DataFrame ile pratikte korelasyon katsay\u0131lar\u0131 i\u00e7in p de\u011ferlerinin nas\u0131l hesaplanaca\u011f\u0131n\u0131 g\u00f6sterir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008000;\">import<\/span> pandas <span style=\"color: #008000;\">as<\/span> pd\n\n<span style=\"color: #008080;\">#createDataFrame\n<\/span>df = pd. <span style=\"color: #3366ff;\">DataFrame<\/span> ({' <span style=\"color: #ff0000;\">x<\/span> ': [4, 5, 5, 7, 8, 10, 12, 13, 14, 15],\n                   ' <span style=\"color: #ff0000;\">y<\/span> ': [10, 12, 14, 18, np.nan, 19, 13, 20, 14, np.nan],\n                   ' <span style=\"color: #ff0000;\">z<\/span> ': [20, 24, 24, 23, 19, 15, 18, 14, 10, 12]})\n\n<span style=\"color: #008080;\">#view DataFrame\n<\/span><span style=\"color: #008000;\">print<\/span> (df)\n\n    X Y Z\n0 4 10.0 20\n1 5 12.0 24\n2 5 14.0 24\n3 7 18.0 23\n4 8 NaN 19\n5 10 19.0 15\n6 12 13.0 18\n7 13 20.0 14\n8 14 14.0 10\n9 15 NaN 12\n<\/strong><\/span><\/pre>\n<h2> <span style=\"color: #000000;\"><strong>\u00d6rnek 1: Pandas&#8217;ta iki s\u00fctun aras\u0131ndaki korelasyon katsay\u0131s\u0131 i\u00e7in P de\u011ferini hesaplay\u0131n<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, Pearson korelasyon katsay\u0131s\u0131n\u0131n ve DataFrame&#8217;in <strong>x<\/strong> ve <strong>y<\/strong> s\u00fctunlar\u0131 i\u00e7in kar\u015f\u0131l\u0131k gelen p de\u011ferinin nas\u0131l hesaplanaca\u011f\u0131n\u0131 g\u00f6sterir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008000;\">from<\/span> scipy. <span style=\"color: #3366ff;\">stats<\/span> <span style=\"color: #008000;\">import<\/span> pearsonr\n\n<span style=\"color: #008080;\">#drop all rows with NaN values\n<\/span>df_new = df. <span style=\"color: #3366ff;\">dropna<\/span> ()\n\n<span style=\"color: #008080;\">#calculation correlation coefficient and p-value between x and y\n<\/span>pearsonr(df_new[' <span style=\"color: #ff0000;\">x<\/span> '], df_new[' <span style=\"color: #ff0000;\">y<\/span> '])\n\nPearsonRResult(statistic=0.4791621985883838, pvalue=0.22961622926360523)\n<\/strong><\/span><\/pre>\n<p> <span style=\"color: #000000;\">Sonu\u00e7tan \u015funlar\u0131 g\u00f6rebiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Pearson korelasyon katsay\u0131s\u0131 <strong>0,4792&#8217;dir<\/strong> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">Kar\u015f\u0131l\u0131k gelen p de\u011feri <strong>0,2296&#8217;d\u0131r<\/strong> .<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Korelasyon katsay\u0131s\u0131n\u0131n pozitif olmas\u0131 iki de\u011fi\u015fken aras\u0131nda pozitif do\u011frusal bir ili\u015fkinin oldu\u011funu g\u00f6sterir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ancak korelasyon katsay\u0131s\u0131n\u0131n p de\u011feri 0,05&#8217;ten k\u00fc\u00e7\u00fck olmad\u0131\u011f\u0131 i\u00e7in korelasyon istatistiksel olarak anlaml\u0131 de\u011fildir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Korelasyon katsay\u0131s\u0131ndan p-de\u011ferini \u00e7\u0131karmak i\u00e7in a\u015fa\u011f\u0131daki s\u00f6zdizimini de kullanabilece\u011fimizi unutmay\u0131n:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008080;\">#extract p-value of correlation coefficient\n<\/span>pearsonr(df_new[' <span style=\"color: #ff0000;\">x<\/span> '], df_new[' <span style=\"color: #ff0000;\">y<\/span> '])[1]\n\n0.22961622926360523\n<\/strong><\/span><\/pre>\n<p> <span style=\"color: #000000;\">Korelasyon katsay\u0131s\u0131n\u0131n p de\u011feri <strong>0,2296&#8217;d\u0131r<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu, \u00f6nceki \u00e7\u0131kt\u0131daki p de\u011feriyle e\u015fle\u015fir.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u00d6rnek 2: Pandas&#8217;taki t\u00fcm s\u00fctunlar aras\u0131ndaki korelasyon katsay\u0131s\u0131 i\u00e7in P de\u011ferini hesaplay\u0131n<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, pandas DataFrame&#8217;deki s\u00fctunlar\u0131n her ikili kombinasyonu i\u00e7in Pearson korelasyon katsay\u0131s\u0131n\u0131n ve kar\u015f\u0131l\u0131k gelen p de\u011ferinin nas\u0131l hesaplanaca\u011f\u0131n\u0131 g\u00f6sterir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008000;\"><span style=\"color: #008080;\">#create function to calculate p-values for each pairwise correlation coefficient<\/span>\ndef<\/span> r_pvalues(df):\n    cols = pd. <span style=\"color: #3366ff;\">DataFrame<\/span> (columns= <span style=\"color: #3366ff;\">df.columns<\/span> )\n    p = cols. <span style=\"color: #3366ff;\">transpose<\/span> (). <span style=\"color: #3366ff;\">join<\/span> (cols, how=' <span style=\"color: #ff0000;\">outer<\/span> ')\n    <span style=\"color: #008000;\">for<\/span> r <span style=\"color: #008000;\">in<\/span> df. <span style=\"color: #3366ff;\">columns<\/span> :\n        <span style=\"color: #008000;\">for<\/span> c <span style=\"color: #008000;\">in<\/span> df. <span style=\"color: #3366ff;\">columns<\/span> :\n            tmp = df[df[r]. <span style=\"color: #3366ff;\">notnull<\/span> () &amp; df[c]. <span style=\"color: #3366ff;\">notnull<\/span> ()]\n            p[r][c] = round(pearsonr(tmp[r], tmp[c])[1], 4)\n    <span style=\"color: #008000;\">return<\/span> p\n\n<span style=\"color: #008080;\">#use custom function to calculate p-values\n<\/span>r_pvalues(df)\n\n             X Y Z\nx 0.0 0.2296 0.0005\ny 0.2296 0.0 0.4238\nz 0.0005 0.4238 0.0<\/strong><\/span><\/pre>\n<p> <span style=\"color: #000000;\">Sonu\u00e7tan \u015funlar\u0131 g\u00f6rebiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">X ile y aras\u0131ndaki korelasyon katsay\u0131s\u0131n\u0131n p de\u011feri <strong>0,2296&#8217;d\u0131r<\/strong> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">X ve z aras\u0131ndaki korelasyon katsay\u0131s\u0131n\u0131n p de\u011feri <strong>0,0005&#8217;tir<\/strong> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">Y ve z aras\u0131ndaki korelasyon katsay\u0131s\u0131n\u0131n p de\u011feri <strong>0,4238&#8217;dir<\/strong> .<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u00d6zel fonksiyonumuzda p de\u011ferlerini d\u00f6rt ondal\u0131k basama\u011fa yuvarlad\u0131\u011f\u0131m\u0131z\u0131 unutmay\u0131n.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Farkl\u0131 say\u0131da ondal\u0131k basama\u011fa yuvarlamak i\u00e7in fonksiyonun son sat\u0131r\u0131ndaki <strong>4&#8217;\u00fc<\/strong> farkl\u0131 bir say\u0131yla de\u011fi\u015ftirmekten \u00e7ekinmeyin.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Not<\/strong> : SciPy <strong>pearsonr()<\/strong> i\u015flevine ili\u015fkin t\u00fcm belgeleri <a href=\"https:\/\/docs.scipy.org\/doc\/scipy\/reference\/generated\/scipy.stats.pearsonr.html\" target=\"_blank\" rel=\"noopener\">burada<\/a> bulabilirsiniz.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki e\u011fitimlerde di\u011fer yayg\u0131n panda g\u00f6revlerinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/pandalar-grup-korelasyonu\/\" target=\"_blank\" rel=\"noopener\">Pandalar&#8217;da gruba g\u00f6re korelasyon nas\u0131l hesaplan\u0131r?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/pandalar-korelasyon-yatagi\/\" target=\"_blank\" rel=\"noopener\">Pandalarda kayan korelasyon nas\u0131l hesaplan\u0131r<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/korelasyon-mizrakci-pitonu\/\" target=\"_blank\" rel=\"noopener\">Pandalarda Spearman s\u0131ralama korelasyonu nas\u0131l hesaplan\u0131r?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Pearson korelasyon katsay\u0131s\u0131 iki de\u011fi\u015fken aras\u0131ndaki do\u011frusal ili\u015fkiyi \u00f6l\u00e7mek i\u00e7in kullan\u0131labilir. Bu korelasyon katsay\u0131s\u0131 her zaman -1 ile 1 aras\u0131nda bir de\u011fer al\u0131r; burada: -1 : \u0130ki de\u011fi\u015fken aras\u0131nda m\u00fckemmel negatif do\u011frusal korelasyon. 0 : \u0130ki de\u011fi\u015fken aras\u0131nda do\u011frusal bir ili\u015fki yok. 1: \u0130ki de\u011fi\u015fken aras\u0131nda m\u00fckemmel pozitif do\u011frusal korelasyon. Bir korelasyon katsay\u0131s\u0131n\u0131n istatistiksel olarak [&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-4299","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>Pandalarda korelasyon katsay\u0131s\u0131n\u0131n P de\u011feri nas\u0131l bulunur?<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde pandalarda bir korelasyon katsay\u0131s\u0131n\u0131n p de\u011ferinin nas\u0131l hesaplanaca\u011f\u0131 \u00f6rneklerle a\u00e7\u0131klanmaktad\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\/p-degeri-pandalar-korelasyonu\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Pandalarda korelasyon katsay\u0131s\u0131n\u0131n P de\u011feri nas\u0131l bulunur?\" \/>\n<meta property=\"og:description\" content=\"Bu e\u011fitimde pandalarda bir korelasyon katsay\u0131s\u0131n\u0131n p de\u011ferinin nas\u0131l hesaplanaca\u011f\u0131 \u00f6rneklerle a\u00e7\u0131klanmaktad\u0131r.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/p-degeri-pandalar-korelasyonu\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-12T04:44:09+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=\"4 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/p-degeri-pandalar-korelasyonu\/\",\"url\":\"https:\/\/statorials.org\/tr\/p-degeri-pandalar-korelasyonu\/\",\"name\":\"Pandalarda korelasyon katsay\u0131s\u0131n\u0131n P de\u011feri nas\u0131l bulunur?\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-12T04:44:09+00:00\",\"dateModified\":\"2023-07-12T04:44:09+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Bu e\u011fitimde pandalarda bir korelasyon katsay\u0131s\u0131n\u0131n p de\u011ferinin nas\u0131l hesaplanaca\u011f\u0131 \u00f6rneklerle a\u00e7\u0131klanmaktad\u0131r.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/p-degeri-pandalar-korelasyonu\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/p-degeri-pandalar-korelasyonu\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/p-degeri-pandalar-korelasyonu\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Pandalarda korelasyon katsay\u0131s\u0131n\u0131n p de\u011feri nas\u0131l bulunur?\"}]},{\"@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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