{"id":3012,"date":"2023-07-19T15:35:19","date_gmt":"2023-07-19T15:35:19","guid":{"rendered":"https:\/\/statorials.org\/pl\/test-kruskala-wallisa-w-r\/"},"modified":"2023-07-19T15:35:19","modified_gmt":"2023-07-19T15:35:19","slug":"test-kruskala-wallisa-w-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/pl\/test-kruskala-wallisa-w-r\/","title":{"rendered":"Jak wykona\u0107 test kruskala-wallisa w r"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/pl\/test-kruskala-wallisa\/\" target=\"_blank\" rel=\"noopener\">Test Kruskala-Wallisa<\/a> s\u0142u\u017cy do okre\u015blenia, czy istnieje statystycznie istotna r\u00f3\u017cnica mi\u0119dzy medianami trzech lub wi\u0119cej niezale\u017cnych grup.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Uwa\u017ca si\u0119, \u017ce jest to nieparametryczny odpowiednik <a href=\"https:\/\/statorials.org\/pl\/w-jedna-strone,-anova\/\" target=\"_blank\" rel=\"noopener\">jednokierunkowej analizy wariancji ANOVA<\/a> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">W tym samouczku wyja\u015bniono, jak wykona\u0107 test Kruskala-Wallisa w j\u0119zyku R.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Przyk\u0142ad: test Kruskala-Wallisa w R<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Za\u0142\u00f3\u017cmy, \u017ce badacze chc\u0105 wiedzie\u0107, czy trzy r\u00f3\u017cne nawozy prowadz\u0105 do r\u00f3\u017cnych poziom\u00f3w wzrostu ro\u015blin. Losowo wybieraj\u0105 30 r\u00f3\u017cnych ro\u015blin i dziel\u0105 je na trzy grupy po 10, stosuj\u0105c do ka\u017cdej grupy inny naw\u00f3z. Po miesi\u0105cu mierz\u0105 wysoko\u015b\u0107 ka\u017cdej ro\u015bliny.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Wykonaj poni\u017csze kroki, aby wykona\u0107 test Kruskala-Wallisa w celu ustalenia, czy mediana wzrostu jest taka sama we wszystkich trzech grupach.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Krok 1: Wprowad\u017a dane.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Najpierw utworzymy nast\u0119puj\u0105c\u0105 ramk\u0119 danych zawieraj\u0105c\u0105 wzrost 30 ro\u015blin oraz ich grup\u0119 nawoz\u00f3w:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create data frame\n<\/span>df &lt;- data. <span style=\"color: #3366ff;\">frame<\/span> (group=rep(c(' <span style=\"color: #ff0000;\">A<\/span> ', ' <span style=\"color: #ff0000;\">B<\/span> ', ' <span style=\"color: #ff0000;\">C<\/span> '), each= <span style=\"color: #008000;\">10<\/span> ),\n                 height=c(7, 14, 14, 13, 12, 9, 6, 14, 12, 8,\n                          15, 17, 13, 15, 15, 13, 9, 12, 10, 8,\n                          6, 8, 8, 9, 5, 14, 13, 8, 10, 9))\n\n<span style=\"color: #008080;\">#view first six rows of data frame\n<\/span>head(df)\n\n  group height\n1 to 7\n2 to 14\n3 to 14\n4 to 13\n5 to 12\n6 to 9<\/strong><\/pre>\n<p> <span style=\"color: #000000;\"><strong>Krok 2: Wykonaj test Kruskala-Wallisa.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Nast\u0119pnie wykonamy test Kruskala-Wallisa wykorzystuj\u0105c wbudowan\u0105 funkcj\u0119 <strong>kruskal.test()<\/strong> bazy danych R:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#perform Kruskal-Wallis Test<\/span> \nkruskal. <span style=\"color: #3366ff;\">test<\/span> (height ~ group, data = df) \n\n\tKruskal-Wallis rank sum test\n\ndata: height by group\nKruskal-Wallis chi-squared = 6.2878, df = 2, p-value = 0.04311\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\"><strong>Krok 3: Interpretacja wynik\u00f3w.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Test Kruskala-Wallisa wykorzystuje nast\u0119puj\u0105ce hipotezy zerowe i alternatywne:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Hipoteza zerowa (H <sub>0<\/sub> ):<\/strong> Mediana jest r\u00f3wna we wszystkich grupach.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Hipoteza alternatywna: ( <sub>HA<\/sub> ):<\/strong> Mediana <em>nie jest<\/em> r\u00f3wna we wszystkich grupach.<\/span><\/p>\n<p> <span style=\"color: #000000;\">W tym przypadku statystyka testowa wynosi <strong>6,2878<\/strong> , a odpowiadaj\u0105ca jej warto\u015b\u0107 p wynosi <strong>0,0431<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Poniewa\u017c ta <a href=\"https:\/\/statorials.org\/pl\/p-oznacza-istotnosc-statystyczna\/\" target=\"_blank\" rel=\"noopener\">warto\u015b\u0107 p<\/a> jest mniejsza ni\u017c 0,05, mo\u017cemy odrzuci\u0107 hipotez\u0119 zerow\u0105, \u017ce \u015bredni wzrost ro\u015blin jest taki sam dla wszystkich trzech nawoz\u00f3w.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Oznacza to, \u017ce mamy wystarczaj\u0105ce dowody, aby stwierdzi\u0107, \u017ce rodzaj u\u017cytego nawozu powoduje statystycznie istotne r\u00f3\u017cnice we wzro\u015bcie ro\u015blin.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Dodatkowe zasoby<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Poni\u017csze samouczki wyja\u015bniaj\u0105, jak wykonywa\u0107 inne popularne testy statystyczne w R:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/pl\/sparowane-probki-test-t-r\/\" target=\"_blank\" rel=\"noopener\">Jak wykona\u0107 test t dla sparowanych pr\u00f3bek w R<\/a><br \/> <a href=\"https:\/\/statorials.org\/pl\/w-jedna-strone-anova-r\/\" target=\"_blank\" rel=\"noopener\">Jak wykona\u0107 jednokierunkow\u0105 ANOVA w R<\/a><br \/> <a href=\"https:\/\/statorials.org\/pl\/powtorzone-pomiary-anova-w-r\/\" target=\"_blank\" rel=\"noopener\">Jak wykona\u0107 powtarzane pomiary ANOVA w R<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Test Kruskala-Wallisa s\u0142u\u017cy do okre\u015blenia, czy istnieje statystycznie istotna r\u00f3\u017cnica mi\u0119dzy medianami trzech lub wi\u0119cej niezale\u017cnych grup. Uwa\u017ca si\u0119, \u017ce jest to nieparametryczny odpowiednik jednokierunkowej analizy wariancji ANOVA . W tym samouczku wyja\u015bniono, jak wykona\u0107 test Kruskala-Wallisa w j\u0119zyku R. Przyk\u0142ad: test Kruskala-Wallisa w R Za\u0142\u00f3\u017cmy, \u017ce badacze chc\u0105 wiedzie\u0107, czy trzy r\u00f3\u017cne nawozy prowadz\u0105 [&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-3012","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 wykona\u0107 test Kruskala-Wallisa w R - Statology<\/title>\n<meta name=\"description\" content=\"W tym samouczku wyja\u015bniono, jak wykona\u0107 test Kruskala-Wallisa w j\u0119zyku R, podaj\u0105c pe\u0142ny przyk\u0142ad.\" \/>\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\/test-kruskala-wallisa-w-r\/\" \/>\n<meta property=\"og:locale\" content=\"pl_PL\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Jak wykona\u0107 test Kruskala-Wallisa w R - Statology\" \/>\n<meta property=\"og:description\" content=\"W tym samouczku wyja\u015bniono, jak wykona\u0107 test Kruskala-Wallisa w j\u0119zyku R, podaj\u0105c pe\u0142ny przyk\u0142ad.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pl\/test-kruskala-wallisa-w-r\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-19T15:35:19+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\/test-kruskala-wallisa-w-r\/\",\"url\":\"https:\/\/statorials.org\/pl\/test-kruskala-wallisa-w-r\/\",\"name\":\"Jak wykona\u0107 test Kruskala-Wallisa w R - Statology\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pl\/#website\"},\"datePublished\":\"2023-07-19T15:35:19+00:00\",\"dateModified\":\"2023-07-19T15:35:19+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965\"},\"description\":\"W tym samouczku wyja\u015bniono, jak wykona\u0107 test Kruskala-Wallisa w j\u0119zyku R, podaj\u0105c pe\u0142ny przyk\u0142ad.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pl\/test-kruskala-wallisa-w-r\/#breadcrumb\"},\"inLanguage\":\"pl-PL\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pl\/test-kruskala-wallisa-w-r\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pl\/test-kruskala-wallisa-w-r\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Dom\",\"item\":\"https:\/\/statorials.org\/pl\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Jak wykona\u0107 test kruskala-wallisa 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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