{"id":826,"date":"2023-07-28T15:22:57","date_gmt":"2023-07-28T15:22:57","guid":{"rendered":"https:\/\/statorials.org\/tr\/z-puani-pitonu\/"},"modified":"2023-07-28T15:22:57","modified_gmt":"2023-07-28T15:22:57","slug":"z-puani-pitonu","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/z-puani-pitonu\/","title":{"rendered":"Python&#39;da z puanlar\u0131 nas\u0131l hesaplan\u0131r"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u0130statistiklerde <strong>z-puan\u0131<\/strong> bize bir de\u011ferin <a href=\"https:\/\/statorials.org\/tr\/merkezi-egilimi-olcer\/\" target=\"_blank\" rel=\"noopener\">ortalamadan<\/a> ka\u00e7 standart sapma oldu\u011funu s\u00f6yler. Z-puan\u0131n\u0131 hesaplamak i\u00e7in a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullan\u0131r\u0131z:<\/span><\/p>\n<p style=\"text-align: center;\"> <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 Python&#8217;da ham veri de\u011ferleri i\u00e7in z puanlar\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r.<\/span><\/p>\n<h3> <strong>Python&#8217;da Z Puanlar\u0131 Nas\u0131l Hesaplan\u0131r?<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki s\u00f6zdizimini kullanan <strong>scipy.stats.zscore<\/strong> kullanarak Python&#8217;da z-puanlar\u0131n\u0131 hesaplayabiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>scipy.stats.zscore(a, axis=0, ddof=0, nan_policy=&#8217;propagate&#8217;)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>a<\/strong> : verileri i\u00e7eren dizi tipi bir nesne<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>eksen<\/strong> : z-puanlar\u0131n\u0131n hesaplanaca\u011f\u0131 eksen. Varsay\u0131lan de\u011fer 0&#8217;d\u0131r.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>ddof<\/strong> : standart sapman\u0131n hesaplanmas\u0131nda serbestlik derecelerinin d\u00fczeltilmesi. Varsay\u0131lan de\u011fer 0&#8217;d\u0131r.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>nan_policy<\/strong> : girdi nan i\u00e7erdi\u011finde nas\u0131l davran\u0131l\u0131r? Varsay\u0131lan de\u011fer, nan de\u011ferini d\u00f6nd\u00fcren propagate&#8217;tir. &#8216;y\u00fckselt&#8217; bir hataya neden olur ve &#8216;atla&#8217;, nan de\u011ferlerini g\u00f6z ard\u0131 ederek hesaplamalar ger\u00e7ekle\u015ftirir.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnekler, tek boyutlu numpy dizileri, \u00e7ok boyutlu numpy dizileri ve Pandas DataFrames i\u00e7in z puanlar\u0131n\u0131 hesaplamak amac\u0131yla bu fonksiyonun nas\u0131l kullan\u0131laca\u011f\u0131n\u0131 g\u00f6stermektedir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Numpy tek boyutlu diziler<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 1: Mod\u00fclleri i\u00e7e aktar\u0131n.<\/strong><\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #107d3f;\">import <span style=\"color: #000000;\">pandas<\/span> as <span style=\"color: #000000;\">pd<\/span>\nimport<\/span> numpy <span style=\"color: #107d3f;\">as<\/span> np\n<span style=\"color: #107d3f;\">import<\/span> scipy.stats <span style=\"color: #107d3f;\">as<\/span> stats\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 2: Bir de\u011ferler tablosu olu\u015fturun.<\/strong><\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>data = np.array([6, 7, 7, 12, 13, 13, 15, 16, 19, 22])\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 3: Tablodaki her de\u011fer i\u00e7in z puanlar\u0131n\u0131 hesaplay\u0131n.<\/strong><\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>stats.zscore(data)\n\n<span style=\"color: #000000;\">[-1.394, -1.195, -1.195, -0.199, 0, 0, 0.398, 0.598, 1.195, 1.793]<\/span>\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;\">Tablodaki &#8220;6&#8221;n\u0131n ilk de\u011feri ortalaman\u0131n <strong>1.394<\/strong> standart sapma <em>alt\u0131ndad\u0131r<\/em> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">Tablodaki &#8220;13&#8221;\u00fcn be\u015finci de\u011feri ortalamadan <strong>0<\/strong> standart sapmad\u0131r, yani ortalamaya e\u015fittir.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Tablodaki son de\u011fer olan &#8220;22&#8221; ise ortalaman\u0131n <strong>1.793<\/strong> standart sapma <em>\u00fczerindedir<\/em> .<\/span><\/li>\n<\/ul>\n<h3> <span style=\"color: #000000;\"><strong>Numpy \u00e7ok boyutlu diziler<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u00c7ok boyutlu bir dizimiz varsa, her z-puan\u0131n\u0131 kendi dizisine g\u00f6re hesaplamak istedi\u011fimizi belirtmek i\u00e7in <strong>axis<\/strong> parametresini kullanabiliriz. \u00d6rne\u011fin a\u015fa\u011f\u0131daki \u00e7ok boyutlu diziye sahip oldu\u011fumuzu varsayal\u0131m:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>data = np.array([[5, 6, 7, 7, 8],\n                 [8, 8, 8, 9, 9],\n                 [2, 2, 4, 4, 5]])\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Her tablonun z puanlar\u0131n\u0131 hesaplamak i\u00e7in a\u015fa\u011f\u0131daki s\u00f6zdizimini kullanabiliriz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>stats.zscore(data, axis=1)\n\n[[-1.569 -0.588 0.392 0.392 1.373]\n[-0.816 -0.816 -0.816 1.225 1.225]\n[-1.167 -1.167 0.5 0.5 1.333]]\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Her bir de\u011fere ili\u015fkin z puanlar\u0131, bulunduklar\u0131 tabloya g\u00f6re g\u00f6r\u00fcnt\u00fclenir. \u00d6rne\u011fin:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u0130lk tablodaki &#8220;5&#8221;in ilk de\u011feri, tablo ortalamas\u0131n\u0131n <strong>1.159<\/strong> standart sapma <em>alt\u0131ndad\u0131r<\/em> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u0130kinci tablodaki &#8220;8&#8221;in ilk de\u011feri, tablo ortalamas\u0131n\u0131n <strong>0,816<\/strong> standart sapma <em>alt\u0131ndad\u0131r<\/em> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u00dc\u00e7\u00fcnc\u00fc tablodaki &#8220;2&#8221;nin ilk de\u011feri, tablo ortalamas\u0131n\u0131n <strong>1.167<\/strong> standart sapma <em>alt\u0131ndad\u0131r<\/em> .<\/span><\/li>\n<\/ul>\n<h3> <span style=\"color: #000000;\"><strong>Pandalar Veri \u00c7er\u00e7eveleri<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bunun yerine bir Pandas DataFrame&#8217;imiz oldu\u011funu varsayal\u0131m:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>data = pd.DataFrame(np.random.randint(0, 10, size=(5, 3)), columns=['A', 'B', 'C'])\ndata\n\nABC\n0 8 0 9\n1 4 0 7\n2 9 6 8\n3 1 8 1\n4 8 0 8\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">S\u00fctun ba\u015f\u0131na ayr\u0131 de\u011ferlerin z puan\u0131n\u0131 hesaplamak i\u00e7in <strong>uygulama<\/strong> i\u015flevini kullanabiliriz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>data.apply(stats.zscore)\n\n          ABC\n0 0.659380 -0.802955 0.836080\n1 -0.659380 -0.802955 0.139347\n2 0.989071 0.917663 0.487713\n3 -1.648451 1.491202 -1.950852\n4 0.659380 -0.802955 0.487713\n<\/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;8&#8221;in ilk de\u011feri, s\u00fctununun ortalama de\u011ferinin <strong>0,659<\/strong> standart sapma <em>\u00fczerindedir<\/em> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u0130kinci s\u00fctundaki ilk &#8220;0&#8221; de\u011feri, s\u00fctunundaki ortalama de\u011ferden <strong>0,803<\/strong> standart sapma <em>daha d\u00fc\u015f\u00fckt\u00fcr<\/em> .<\/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\u011ferinin <strong>0,836<\/strong> standart sapma <em>\u00fczerindedir<\/em> .<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Ek kaynaklar:<\/strong><\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/z-puani-excel\/\" target=\"_blank\" rel=\"noopener\">Excel&#8217;de Z Puanlar\u0131 Nas\u0131l Hesaplan\u0131r?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/z-puanlari-spss\/\" target=\"_blank\" rel=\"noopener\">SPSS&#8217;de Z Puanlar\u0131 Nas\u0131l Hesaplan\u0131r?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/z-puani-ti-84-hesaplayici\/\" target=\"_blank\" rel=\"noopener\">TI-84 Hesap Makinesinde Z Puanlar\u0131 Nas\u0131l Hesaplan\u0131r?<\/a><\/p>\n<dl class=\"field-list simple\">\n<dd class=\"field-odd\"><\/dd>\n<\/dl>\n","protected":false},"excerpt":{"rendered":"<p>\u0130statistiklerde z-puan\u0131 bize bir de\u011ferin ortalamadan ka\u00e7 standart sapma oldu\u011funu s\u00f6yler. 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 Python&#8217;da ham veri de\u011ferleri i\u00e7in z puanlar\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r. Python&#8217;da Z Puanlar\u0131 Nas\u0131l Hesaplan\u0131r? [&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-826","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>Python&#039;da Z Puanlar\u0131 Nas\u0131l Hesaplan\u0131r - Statorials<\/title>\n<meta name=\"description\" content=\"Python&#039;da 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\/z-puani-pitonu\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Python&#039;da Z Puanlar\u0131 Nas\u0131l Hesaplan\u0131r - Statorials\" \/>\n<meta property=\"og:description\" content=\"Python&#039;da z-puanlar\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131na dair basit bir a\u00e7\u0131klama.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/z-puani-pitonu\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-28T15:22:57+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=\"3 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/z-puani-pitonu\/\",\"url\":\"https:\/\/statorials.org\/tr\/z-puani-pitonu\/\",\"name\":\"Python&#39;da Z Puanlar\u0131 Nas\u0131l Hesaplan\u0131r - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-28T15:22:57+00:00\",\"dateModified\":\"2023-07-28T15:22:57+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Python&#39;da z-puanlar\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131na dair basit bir a\u00e7\u0131klama.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/z-puani-pitonu\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/z-puani-pitonu\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/z-puani-pitonu\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Python&#39;da z puanlar\u0131 nas\u0131l hesaplan\u0131r\"}]},{\"@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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