{"id":2505,"date":"2023-07-21T23:36:52","date_gmt":"2023-07-21T23:36:52","guid":{"rendered":"https:\/\/statorials.org\/pl\/test-excela-kolmogorov-smirnov\/"},"modified":"2023-07-21T23:36:52","modified_gmt":"2023-07-21T23:36:52","slug":"test-excela-kolmogorov-smirnov","status":"publish","type":"post","link":"https:\/\/statorials.org\/pl\/test-excela-kolmogorov-smirnov\/","title":{"rendered":"Jak wykona\u0107 test ko\u0142mogorowa-smirnowa w programie excel"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Test Ko\u0142mogorowa-Smirnowa<\/strong> s\u0142u\u017cy do okre\u015blenia, czy pr\u00f3bka ma <a href=\"https:\/\/statorials.org\/pl\/rozk\u0142ad-normalny\/\" target=\"_blank\" rel=\"noopener\">rozk\u0142ad normalny<\/a> , czy nie.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Test ten jest szeroko stosowany, poniewa\u017c wiele test\u00f3w i procedur statystycznych <a href=\"https:\/\/statorials.org\/pl\/hipoteza-normalnosci\/\" target=\"_blank\" rel=\"noopener\">zak\u0142ada<\/a> , \u017ce dane maj\u0105 rozk\u0142ad normalny.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Poni\u017cszy przyk\u0142ad pokazuje krok po kroku, jak wykona\u0107 test Ko\u0142mogorowa-Smirnowa na przyk\u0142adowym zbiorze danych w programie Excel.<\/span><\/p>\n<h3> <strong><span style=\"color: #000000;\">Krok 1: Wprowad\u017a dane<\/span><\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Zacznijmy od wpisania warto\u015bci ze zbioru danych o liczebno\u015bci pr\u00f3by n=20:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-22350 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/ks1.jpg\" alt=\"\" width=\"414\" height=\"465\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3> <strong><span style=\"color: #000000;\">Krok 2: Oblicz warto\u015bci rzeczywiste i oczekiwane z rozk\u0142adu normalnego<\/span><\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Nast\u0119pnie obliczymy warto\u015bci rzeczywiste w por\u00f3wnaniu z warto\u015bciami oczekiwanymi rozk\u0142adu normalnego:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-22351\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/ks2.jpg\" alt=\"Test Ko\u0142mogorowa-Smirnowa w Excelu\" width=\"665\" height=\"481\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Oto formu\u0142a, kt\u00f3rej u\u017cyli\u015bmy w r\u00f3\u017cnych kom\u00f3rkach:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>B2<\/strong> : =LINIA() \u2013 1<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>C2<\/strong> : = <span style=\"color: #0000ff;\">B2<\/span> \/COUNT( <span style=\"color: #ff0000;\">$A$2:$A$21<\/span> )<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>D2<\/strong> : =( <span style=\"color: #3366ff;\">B2<\/span> -1)\/COUNT( <span style=\"color: #ff0000;\">$A$2:$A$21<\/span> )<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>E2<\/strong> : = JE\u017bELI( <span style=\"color: #3366ff;\">C2<\/span> &lt;1, ROZK\u0141AD.NORMALNY.S.IN( <span style=\"color: #3366ff;\">C2<\/span> ),\u201d)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>F2<\/strong> : = ROZK\u0141.NORMALNY( <span style=\"color: #3366ff;\">A2<\/span> , <span style=\"color: #ff0000;\">$J$1<\/span> , <span style=\"color: #800080;\">$J$2<\/span> , PRAWDA)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>G2<\/strong> : =ABS( <span style=\"color: #3366ff;\">F2<\/span> \u2013 <span style=\"color: #ff0000;\">D2<\/span> )<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>D1<\/strong> : =\u015aREDNIA ( <span style=\"color: #3366ff;\">A2:A21<\/span> )<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>J2<\/strong> : =ETDEV.S( <span style=\"color: #3366ff;\">A2:A21<\/span> )<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>J4<\/strong> : =MAX( <span style=\"color: #3366ff;\">G2:G21<\/span> )<\/span><\/li>\n<\/ul>\n<h3> <strong><span style=\"color: #000000;\">Krok 3: Interpretacja wynik\u00f3w<\/span><\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Test Ko\u0142mogorowa-Smirnowa wykorzystuje nast\u0119puj\u0105ce hipotezy zerowe i alternatywne:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub><\/strong> : Dane maj\u0105 rozk\u0142ad normalny.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>A<\/sub><\/strong> : Dane nie maj\u0105 rozk\u0142adu normalnego.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Aby ustali\u0107, czy powinni\u015bmy odrzuci\u0107 hipotez\u0119 zerow\u0105, musimy odwo\u0142a\u0107 si\u0119 do <strong>maksymalnej<\/strong> warto\u015bci wyniku, kt\u00f3ra okazuje si\u0119 wynosi\u0107 <strong>0,10983<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Stanowi to maksymaln\u0105 bezwzgl\u0119dn\u0105 r\u00f3\u017cnic\u0119 mi\u0119dzy rzeczywistymi warto\u015bciami naszej pr\u00f3bki a oczekiwanymi warto\u015bciami rozk\u0142adu normalnego.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Aby ustali\u0107, czy ta maksymalna warto\u015b\u0107 jest istotna statystycznie, nale\u017cy odwo\u0142a\u0107 si\u0119 do tabeli warto\u015bci krytycznych Ko\u0142mogorowa-Smirnowa i znale\u017a\u0107 liczb\u0119 r\u00f3wn\u0105 n = 20 i \u03b1 = 0,05.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Warto\u015b\u0107 krytyczna wynosi <strong>0,190<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Poniewa\u017c nasza maksymalna warto\u015b\u0107 nie jest wi\u0119ksza ni\u017c ta warto\u015b\u0107 krytyczna, nie mo\u017cemy odrzuci\u0107 hipotezy zerowej.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Oznacza to, \u017ce mo\u017cemy za\u0142o\u017cy\u0107, \u017ce nasze przyk\u0142adowe dane maj\u0105 rozk\u0142ad normalny.<\/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 programie Excel:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/pl\/test-korelacji-w-excelu\/\" target=\"_blank\" rel=\"noopener\">Jak wykona\u0107 test korelacji w programie Excel<\/a><br \/> <a href=\"https:\/\/statorials.org\/pl\/test-excela-durbina-watsona\/\" target=\"_blank\" rel=\"noopener\">Jak wykona\u0107 test Durbina-Watsona w programie Excel<\/a><br \/> <a href=\"https:\/\/statorials.org\/pl\/jarque-bedzie-testem-programu-excel\/\" target=\"_blank\" rel=\"noopener\">Jak wykona\u0107 test Jarque-Bera w programie Excel<\/a><br \/> <a href=\"https:\/\/statorials.org\/pl\/test-excela-levenesa\/\" target=\"_blank\" rel=\"noopener\">Jak wykona\u0107 test Levene\u2019a w programie Excel<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Test Ko\u0142mogorowa-Smirnowa s\u0142u\u017cy do okre\u015blenia, czy pr\u00f3bka ma rozk\u0142ad normalny , czy nie. Test ten jest szeroko stosowany, poniewa\u017c wiele test\u00f3w i procedur statystycznych zak\u0142ada , \u017ce dane maj\u0105 rozk\u0142ad normalny. Poni\u017cszy przyk\u0142ad pokazuje krok po kroku, jak wykona\u0107 test Ko\u0142mogorowa-Smirnowa na przyk\u0142adowym zbiorze danych w programie Excel. Krok 1: Wprowad\u017a dane Zacznijmy od wpisania [&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-2505","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 Ko\u0142mogorowa-Smirnowa w programie Excel - Statologia<\/title>\n<meta name=\"description\" content=\"W tym samouczku wyja\u015bniono, na przyk\u0142adzie, jak wykona\u0107 test normalno\u015bci Ko\u0142mogorowa-Smirnowa w programie Excel.\" \/>\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-excela-kolmogorov-smirnov\/\" \/>\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 Ko\u0142mogorowa-Smirnowa w programie Excel - Statologia\" \/>\n<meta property=\"og:description\" content=\"W tym samouczku wyja\u015bniono, na przyk\u0142adzie, jak wykona\u0107 test normalno\u015bci Ko\u0142mogorowa-Smirnowa w programie Excel.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pl\/test-excela-kolmogorov-smirnov\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-21T23:36:52+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/ks1.jpg\" \/>\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-excela-kolmogorov-smirnov\/\",\"url\":\"https:\/\/statorials.org\/pl\/test-excela-kolmogorov-smirnov\/\",\"name\":\"Jak wykona\u0107 test Ko\u0142mogorowa-Smirnowa w programie Excel - Statologia\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pl\/#website\"},\"datePublished\":\"2023-07-21T23:36:52+00:00\",\"dateModified\":\"2023-07-21T23:36:52+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965\"},\"description\":\"W tym samouczku wyja\u015bniono, na przyk\u0142adzie, jak wykona\u0107 test normalno\u015bci Ko\u0142mogorowa-Smirnowa w programie Excel.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pl\/test-excela-kolmogorov-smirnov\/#breadcrumb\"},\"inLanguage\":\"pl-PL\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pl\/test-excela-kolmogorov-smirnov\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pl\/test-excela-kolmogorov-smirnov\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Dom\",\"item\":\"https:\/\/statorials.org\/pl\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Jak wykona\u0107 test ko\u0142mogorowa-smirnowa w programie excel\"}]},{\"@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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