{"id":1285,"date":"2023-07-27T00:26:21","date_gmt":"2023-07-27T00:26:21","guid":{"rendered":"https:\/\/statorials.org\/pl\/cramers-v-w-r\/"},"modified":"2023-07-27T00:26:21","modified_gmt":"2023-07-27T00:26:21","slug":"cramers-v-w-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/pl\/cramers-v-w-r\/","title":{"rendered":"Jak obliczy\u0107 v cramera w r"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>V Cramera<\/strong> jest miar\u0105 si\u0142y zwi\u0105zku mi\u0119dzy dwiema zmiennymi nominalnymi.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Przechodzi od 0 do 1, gdzie:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Warto\u015b\u0107 0<\/strong> oznacza brak zwi\u0105zku mi\u0119dzy dwiema zmiennymi.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>1<\/strong> wskazuje na silny zwi\u0105zek pomi\u0119dzy obiema zmiennymi.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Oblicza si\u0119 go w nast\u0119puj\u0105cy spos\u00f3b:<\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">V Cramera = \u221a <span style=\"border-top: 1px solid black;\">(X <sup>2<\/sup> \/n) \/ min(c-1, r-1)<\/span><\/span><\/strong><\/p>\n<p> <span style=\"color: #000000;\">Z\u0142oto:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>X <sup>2<\/sup> :<\/strong> Statystyka chi-kwadrat<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n:<\/strong> ca\u0142kowity rozmiar pr\u00f3bki<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>r:<\/strong> Liczba linii<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>c:<\/strong> Liczba kolumn<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">W tym samouczku przedstawiono kilka przyk\u0142ad\u00f3w obliczania V Cramera dla tabeli kontyngencji w j\u0119zyku R.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Przyk\u0142ad 1: V Cramera dla sto\u0142u 2\u00d72<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Poni\u017cszy kod pokazuje, jak u\u017cywa\u0107 funkcji <strong>CramerV<\/strong> z pakietu <strong>rcompanion<\/strong> do obliczania V Cramera dla tabeli 2&#215;2:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create 2x2 table\n<\/span>data = matrix(c(7,9,12,8), nrow = <span style=\"color: #008000;\">2<\/span> )\n\n<span style=\"color: #008080;\">#view dataset\n<\/span>data\n\n     [,1] [,2]\n[1,] 7 12\n[2,] 9 8\n\n<span style=\"color: #008080;\">#load rcompanion library\n<\/span>library(rcompanion)\n\n<span style=\"color: #008080;\">#calculate Cramer's V\n<\/span>cramerV(data)\n\nCramer V \n  0.1617<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Okazuje si\u0119, \u017ce V Cramera wynosi <strong>0,1617<\/strong> , co wskazuje na do\u015b\u0107 s\u0142abe powi\u0105zanie mi\u0119dzy dwiema zmiennymi w tabeli.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Zauwa\u017c, \u017ce mo\u017cemy r\u00f3wnie\u017c wyznaczy\u0107 przedzia\u0142 ufno\u015bci dla V Cramera, ustawiaj\u0105c <strong>ci = TRUE<\/strong> :<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>cramerV(data, ci = <span style=\"color: #008000;\">TRUE<\/span> )\n\n  Cramer.V lower.ci upper.ci\n1 0.1617 0.003487 0.4914\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Widzimy, \u017ce V Cramera pozostaje niezmienione na <strong>poziomie 0,1617<\/strong> , ale teraz mamy 95% przedzia\u0142 ufno\u015bci, kt\u00f3ry zawiera zakres warto\u015bci, kt\u00f3ry prawdopodobnie b\u0119dzie zawiera\u0142 prawdziw\u0105 warto\u015b\u0107 V Cramera.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Przedzia\u0142 ten okazuje si\u0119 wynosi\u0107: [ <strong>.003487<\/strong> , <strong>.4914<\/strong> ].<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Przyk\u0142ad 2: V Cramera dla wi\u0119kszych sto\u0142\u00f3w<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Zauwa\u017c, \u017ce mo\u017cemy u\u017cy\u0107 funkcji <strong>CramerV<\/strong> do obliczenia V Cramera dla tablicy o dowolnym rozmiarze.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Poni\u017cszy kod pokazuje, jak obliczy\u0107 V Cramera dla tabeli zawieraj\u0105cej 2 wiersze i 3 kolumny:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create 2x3 table\n<\/span>data = matrix(c(6, 9, 8, 5, 12, 9), nrow = <span style=\"color: #008000;\">2<\/span> )\n\n<span style=\"color: #008080;\">#view dataset\n<\/span>data\n\n     [,1] [,2] [,3]\n[1,] 6 8 12\n[2,] 9 5 9\n\n<span style=\"color: #008080;\">#load rcompanion library\n<\/span>library(rcompanion)\n\n<span style=\"color: #008080;\">#calculate Cramer's V\n<\/span>cramerV(data)\n\nCramer V \n  0.1775<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Okazuje si\u0119, \u017ce V Cramera wynosi <strong>0,1775<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\"><em>Pe\u0142n\u0105 dokumentacj\u0119 funkcji CramerV znajdziesz <a href=\"https:\/\/www.rdocumentation.org\/packages\/rcompanion\/versions\/2.3.26\/topics\/cramerV\" target=\"_blank\" rel=\"noopener\">tutaj<\/a> .<\/em><\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Dodatkowe zasoby<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/pl\/test-niezaleznosci-chi-kwadrat-w-r\/\" target=\"_blank\" rel=\"noopener\">Test chi-kwadrat niezale\u017cno\u015bci w R<\/a><br \/> <a href=\"https:\/\/statorials.org\/pl\/test-dobroci-dopasowania-chi-kwadrat-w-r\/\" target=\"_blank\" rel=\"noopener\">Test dobroci dopasowania chi-kwadrat w R<\/a><br \/> <a href=\"https:\/\/statorials.org\/pl\/dok\u0142adny-test-rybakow-w-r\/\" target=\"_blank\" rel=\"noopener\">Dok\u0142adny test Fishera w R<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>V Cramera jest miar\u0105 si\u0142y zwi\u0105zku mi\u0119dzy dwiema zmiennymi nominalnymi. Przechodzi od 0 do 1, gdzie: Warto\u015b\u0107 0 oznacza brak zwi\u0105zku mi\u0119dzy dwiema zmiennymi. 1 wskazuje na silny zwi\u0105zek pomi\u0119dzy obiema zmiennymi. Oblicza si\u0119 go w nast\u0119puj\u0105cy spos\u00f3b: V Cramera = \u221a (X 2 \/n) \/ min(c-1, r-1) Z\u0142oto: X 2 : Statystyka chi-kwadrat n: [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"class_list":["post-1285","post","type-post","status-publish","format-standard","hentry","category-przewodnik"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Jak obliczy\u0107 V Cramera w R - Statologia<\/title>\n<meta name=\"description\" content=\"W tym samouczku wyja\u015bniono, jak obliczy\u0107 V Cramera w R, na przyk\u0142adzie.\" \/>\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\/pl\/cramers-v-w-r\/\" \/>\n<meta property=\"og:locale\" content=\"pl_PL\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Jak obliczy\u0107 V Cramera w R - Statologia\" \/>\n<meta property=\"og:description\" content=\"W tym samouczku wyja\u015bniono, jak obliczy\u0107 V Cramera w R, na przyk\u0142adzie.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pl\/cramers-v-w-r\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-27T00:26:21+00:00\" \/>\n<meta name=\"author\" content=\"Benjamin Anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Napisane przez\" \/>\n\t<meta name=\"twitter:data1\" content=\"Benjamin Anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Szacowany czas czytania\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minuty\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/pl\/cramers-v-w-r\/\",\"url\":\"https:\/\/statorials.org\/pl\/cramers-v-w-r\/\",\"name\":\"Jak obliczy\u0107 V Cramera w R - Statologia\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pl\/#website\"},\"datePublished\":\"2023-07-27T00:26:21+00:00\",\"dateModified\":\"2023-07-27T00:26:21+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965\"},\"description\":\"W tym samouczku wyja\u015bniono, jak obliczy\u0107 V Cramera w R, na przyk\u0142adzie.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pl\/cramers-v-w-r\/#breadcrumb\"},\"inLanguage\":\"pl-PL\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pl\/cramers-v-w-r\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pl\/cramers-v-w-r\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Dom\",\"item\":\"https:\/\/statorials.org\/pl\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Jak obliczy\u0107 v cramera w r\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/pl\/#website\",\"url\":\"https:\/\/statorials.org\/pl\/\",\"name\":\"Statorials\",\"description\":\"Tw\u00f3j przewodnik po kompetencjach statystycznych!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/pl\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"pl-PL\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965\",\"name\":\"Benjamin Anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"pl-PL\",\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/pl\/wp-content\/uploads\/2023\/11\/Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/pl\/wp-content\/uploads\/2023\/11\/Benjamin-Anderson-96x96.jpg\",\"caption\":\"Benjamin Anderson\"},\"description\":\"Cze\u015b\u0107, jestem Benjamin i jestem emerytowanym profesorem statystyki, kt\u00f3ry zosta\u0142 oddanym nauczycielem Statorials. 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