{"id":1286,"date":"2023-07-27T00:21:15","date_gmt":"2023-07-27T00:21:15","guid":{"rendered":"https:\/\/statorials.org\/pl\/cramers-v-w-pythonie\/"},"modified":"2023-07-27T00:21:15","modified_gmt":"2023-07-27T00:21:15","slug":"cramers-v-w-pythonie","status":"publish","type":"post","link":"https:\/\/statorials.org\/pl\/cramers-v-w-pythonie\/","title":{"rendered":"Jak obliczy\u0107 v cramera w pythonie"},"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 Python.<\/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 obliczy\u0107 V Cramera dla tabeli 2&#215;2:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#load necessary packages and functions\n<span style=\"color: #000000;\"><span style=\"color: #008000;\">import<\/span> scipy. <span style=\"color: #3366ff;\">stats<\/span> <span style=\"color: #008000;\">as<\/span> stats<\/span>\n<span style=\"color: #000000;\"><span style=\"color: #008000;\">import<\/span> numpy <span style=\"color: #008000;\">as<\/span> np<\/span>\n\n#create 2x2 table\n<\/span>data = np. <span style=\"color: #3366ff;\">array<\/span> ([[7,12], [9,8]])\n\n<span style=\"color: #008080;\">#Chi-squared test statistic, sample size, and minimum of rows and columns\n<\/span>X2 = stats. <span style=\"color: #3366ff;\">chi2_contingency<\/span> (data, correction= <span style=\"color: #008000;\">False<\/span> )[0]\nn = np. <span style=\"color: #3366ff;\">sum<\/span> (data)\nminDim = min( <span style=\"color: #3366ff;\">data.shape<\/span> )-1\n\n<span style=\"color: #008080;\">#calculate Cramer's V<\/span>\nV = np. <span style=\"color: #3366ff;\">sqrt<\/span> ((X2\/n) \/ minDim)\n\n<span style=\"color: #008080;\">#display Cramer's V\n<\/span>print(V)\n\n0.1617<\/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<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;\">#load necessary packages and functions\n<span style=\"color: #000000;\"><span style=\"color: #008000;\">import<\/span> scipy. <span style=\"color: #3366ff;\">stats<\/span> <span style=\"color: #008000;\">as<\/span> stats<\/span>\n<span style=\"color: #000000;\"><span style=\"color: #008000;\">import<\/span> numpy <span style=\"color: #008000;\">as<\/span> np<\/span>\n\n#create 2x2 table\n<\/span>data = np. <span style=\"color: #3366ff;\">array<\/span> ([[6,9], [8, 5], [12, 9]])\n\n<span style=\"color: #008080;\">#Chi-squared test statistic, sample size, and minimum of rows and columns\n<\/span>X2 = stats. <span style=\"color: #3366ff;\">chi2_contingency<\/span> (data, correction= <span style=\"color: #008000;\">False<\/span> )[0]\nn = np. <span style=\"color: #3366ff;\">sum<\/span> (data)\nminDim = min( <span style=\"color: #3366ff;\">data.shape<\/span> )-1\n\n<span style=\"color: #008080;\">#calculate Cramer's V<\/span>\nV = np. <span style=\"color: #3366ff;\">sqrt<\/span> ((X2\/n) \/ minDim)\n\n<span style=\"color: #008080;\">#display Cramer's V\n<\/span>print(V)\n\n0.1775<\/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;\">Zauwa\u017c, \u017ce w tym przyk\u0142adzie u\u017cyto tabeli z 2 wierszami i 3 kolumnami, ale dok\u0142adnie ten sam kod dzia\u0142a w przypadku tabeli o dowolnych wymiarach.<\/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-square-w-pythonie\/\" target=\"_blank\" rel=\"noopener\">Test niezale\u017cno\u015bci Chi Square w Pythonie<\/a><br \/> <a href=\"https:\/\/statorials.org\/pl\/test-dobroci-dopasowania-chi-kwadrat-w-pythonie\/\" target=\"_blank\" rel=\"noopener\">Test dobroci dopasowania chi-kwadrat w Pythonie<\/a><br \/> <a href=\"https:\/\/statorials.org\/pl\/dok\u0142adny-test-pythona-dla-rybakow\/\" target=\"_blank\" rel=\"noopener\">Dok\u0142adny test Fishera w Pythonie<\/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-1286","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 Pythonie - Statologia<\/title>\n<meta name=\"description\" content=\"W tym samouczku wyja\u015bniono, jak obliczy\u0107 V Cramera w Pythonie, 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-pythonie\/\" \/>\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 Pythonie - Statologia\" \/>\n<meta property=\"og:description\" content=\"W tym samouczku wyja\u015bniono, jak obliczy\u0107 V Cramera w Pythonie, na przyk\u0142adzie.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pl\/cramers-v-w-pythonie\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-27T00:21:15+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-pythonie\/\",\"url\":\"https:\/\/statorials.org\/pl\/cramers-v-w-pythonie\/\",\"name\":\"Jak obliczy\u0107 V Cramera w Pythonie - Statologia\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pl\/#website\"},\"datePublished\":\"2023-07-27T00:21:15+00:00\",\"dateModified\":\"2023-07-27T00:21:15+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965\"},\"description\":\"W tym samouczku wyja\u015bniono, jak obliczy\u0107 V Cramera w Pythonie, na przyk\u0142adzie.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pl\/cramers-v-w-pythonie\/#breadcrumb\"},\"inLanguage\":\"pl-PL\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pl\/cramers-v-w-pythonie\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pl\/cramers-v-w-pythonie\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Dom\",\"item\":\"https:\/\/statorials.org\/pl\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Jak obliczy\u0107 v cramera w pythonie\"}]},{\"@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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