{"id":913,"date":"2023-07-28T08:19:55","date_gmt":"2023-07-28T08:19:55","guid":{"rendered":"https:\/\/statorials.org\/tr\/zr-puani\/"},"modified":"2023-07-28T08:19:55","modified_gmt":"2023-07-28T08:19:55","slug":"zr-puani","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/zr-puani\/","title":{"rendered":"R&#39;de z puanlar\u0131 nas\u0131l hesaplan\u0131r"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u0130statistikte <strong>z-puan\u0131<\/strong> bize bir de\u011ferin ortalamadan ka\u00e7 standart sapma oldu\u011funu g\u00f6sterir. Z-puan\u0131n\u0131 hesaplamak i\u00e7in a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullan\u0131r\u0131z:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>z<\/strong> = (X \u2013 \u03bc) \/ \u03c3<\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">X tek bir ham veri de\u011feridir<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u03bc n\u00fcfus ortalamas\u0131d\u0131r<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u03c3 pop\u00fclasyon standart sapmas\u0131d\u0131r<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu e\u011fitimde, R&#8217;deki ham veri de\u011ferleri i\u00e7in z puanlar\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 1: Tek Bir Vekt\u00f6r i\u00e7in Z-Skorlar\u0131n\u0131 Bulma<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, bir vekt\u00f6rdeki her ham veri de\u011feri i\u00e7in z puan\u0131n\u0131n nas\u0131l bulunaca\u011f\u0131n\u0131 g\u00f6sterir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create vector of data<\/span>\ndata &lt;- c(6, 7, 7, 12, 13, 13, 15, 16, 19, 22)\n\n<span style=\"color: #008080;\">#find z-score for each data value<\/span> \nz_scores &lt;- (data-mean(data))\/sd(data)\n\n<span style=\"color: #008080;\">#display z-scores<\/span>\nz_scores\n\n[1] -1.3228757 -1.1338934 -1.1338934 -0.1889822 0.0000000 0.0000000\n[7] 0.3779645 0.5669467 1.1338934 1.7008401\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Her z-puan\u0131 bize bireysel bir de\u011ferin ortalamadan ka\u00e7 standart sapma oldu\u011funu s\u00f6yler. \u00d6rne\u011fin:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u0130lk ham veri de\u011feri olan &#8220;6&#8221; ortalaman\u0131n <strong>1.323<\/strong> standart sapma <em>alt\u0131ndad\u0131r<\/em> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">Be\u015finci ham veri de\u011feri olan &#8220;13&#8221;, ortalamadan <strong>0<\/strong> standart sapmad\u0131r, yani ortalamaya e\u015fittir.<\/span><\/li>\n<li> <span style=\"color: #000000;\">En son ham veri de\u011feri olan &#8220;22&#8221; ortalaman\u0131n <strong>1.701<\/strong> standart sapma <em>\u00fczerindedir<\/em> .<\/span><\/li>\n<\/ul>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 2: DataFrame&#8217;deki Tek S\u00fctun i\u00e7in Z Puanlar\u0131n\u0131 Bulma<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, bir veri \u00e7er\u00e7evesinin tek bir s\u00fctunundaki her ham veri de\u011feri i\u00e7in z puan\u0131n\u0131n nas\u0131l bulunaca\u011f\u0131n\u0131 g\u00f6sterir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create dataframe<\/span>\ndf &lt;- data.frame(assists = c(4, 4, 6, 7, 9, 13),\n                 points = c(24, 29, 13, 15, 19, 22),\n                 rebounds = c(5, 5, 7, 8, 14, 15))\n\n<span style=\"color: #008080;\">#find z-score for each data value in the 'points' column\n<\/span>z_scores &lt;- (df$points-mean(df$points))\/sd(df$points)\n\n<span style=\"color: #008080;\">#display z-scores<\/span>\nz_scores\n\n[1] 0.6191904 1.4635409 -1.2383807 -0.9006405 -0.2251601 0.2814502\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Her z-puan\u0131 bize bireysel bir de\u011ferin ortalamadan ka\u00e7 standart sapma oldu\u011funu s\u00f6yler. \u00d6rne\u011fin:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">&#8220;24&#8221;\u00fcn ilk ham veri de\u011feri ortalaman\u0131n <strong>0,619<\/strong> standart sapma <em>\u00fczerindedir<\/em> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u0130kinci ham veri de\u011feri olan &#8220;29&#8221; ise ortalaman\u0131n <strong>1.464<\/strong> standart sapma <em>\u00fczerindedir<\/em> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u00dc\u00e7\u00fcnc\u00fc ham veri de\u011feri olan &#8220;13&#8221; ise ortalaman\u0131n <strong>1.238<\/strong> standart sapma <em>alt\u0131ndad\u0131r<\/em> .<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Ve benzeri.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 3: Bir DataFrame&#8217;deki Her S\u00fctun i\u00e7in Z Puanlar\u0131n\u0131 Bulma<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod <a href=\"https:\/\/statorials.org\/tr\/rde-lapply-sapply-ve-tapply-uygulama-kilavuzu\/\" target=\"_blank\" rel=\"noopener\">, sapply() i\u015flevini<\/a> kullanarak bir veri \u00e7er\u00e7evesinin her s\u00fctunundaki her ham veri de\u011feri i\u00e7in z puan\u0131n\u0131n nas\u0131l bulunaca\u011f\u0131n\u0131 g\u00f6sterir.<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create dataframe<\/span>\ndf &lt;- data.frame(assists = c(4, 4, 6, 7, 9, 13),\n                 points = c(24, 29, 13, 15, 19, 22),\n                 rebounds = c(5, 5, 7, 8, 14, 15))\n\n<span style=\"color: #008080;\">#find z-scores of each column<\/span>\nsapply(df, function(df) (df-mean(df))\/sd(df))\n\n         assists points rebounds\n[1,] -0.92315712 0.6191904 -0.9035079\n[2,] -0.92315712 1.4635409 -0.9035079\n[3,] -0.34011052 -1.2383807 -0.4517540\n[4,] -0.04858722 -0.9006405 -0.2258770\n[5,] 0.53445939 -0.2251601 1.1293849\n[6,] 1.70055260 0.2814502 1.3552619<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Her bir de\u011fere ili\u015fkin z puanlar\u0131, bulunduklar\u0131 s\u00fctuna g\u00f6re g\u00f6r\u00fcnt\u00fclenir. \u00d6rne\u011fin:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u0130lk s\u00fctundaki &#8220;4&#8221;\u00fcn ilk de\u011feri, s\u00fctununun ortalama de\u011ferinin <strong>0,923<\/strong> standart sapma <i>alt\u0131ndad\u0131r<\/i> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u0130kinci s\u00fctundaki &#8220;24&#8221;\u00fcn ilk de\u011feri, s\u00fctununun ortalama de\u011ferinin <strong>0,619<\/strong> standart sapma <i>\u00fczerindedir<\/i> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u00dc\u00e7\u00fcnc\u00fc s\u00fctundaki &#8220;9&#8221;un ilk de\u011feri, s\u00fctununun ortalama de\u011ferinden <strong>0,904<\/strong> standart sapma <em>daha d\u00fc\u015f\u00fckt\u00fcr<\/em> .<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Ve benzeri.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><em>Daha fazla R e\u011fitimini burada bulabilirsiniz.<\/em><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0130statistikte z-puan\u0131 bize bir de\u011ferin ortalamadan ka\u00e7 standart sapma oldu\u011funu g\u00f6sterir. Z-puan\u0131n\u0131 hesaplamak i\u00e7in a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullan\u0131r\u0131z: z = (X \u2013 \u03bc) \/ \u03c3 Alt\u0131n: X tek bir ham veri de\u011feridir \u03bc n\u00fcfus ortalamas\u0131d\u0131r \u03c3 pop\u00fclasyon standart sapmas\u0131d\u0131r Bu e\u011fitimde, R&#8217;deki ham veri de\u011ferleri i\u00e7in z puanlar\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r. \u00d6rnek 1: Tek Bir Vekt\u00f6r [&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-913","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;ta Z puanlar\u0131 nas\u0131l hesaplan\u0131r?<\/title>\n<meta name=\"description\" content=\"Bir \u00f6rnek de dahil olmak \u00fczere R&#039;de z puanlar\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131na dair 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\/zr-puani\/\" \/>\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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