{"id":1125,"date":"2023-07-27T13:59:57","date_gmt":"2023-07-27T13:59:57","guid":{"rendered":"https:\/\/statorials.org\/pl\/welch-przetestuj-pythona\/"},"modified":"2023-07-27T13:59:57","modified_gmt":"2023-07-27T13:59:57","slug":"welch-przetestuj-pythona","status":"publish","type":"post","link":"https:\/\/statorials.org\/pl\/welch-przetestuj-pythona\/","title":{"rendered":"Jak wykona\u0107 test t welcha w pythonie"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Najcz\u0119stszym sposobem por\u00f3wnania \u015brednich mi\u0119dzy dwiema niezale\u017cnymi grupami jest u\u017cycie <strong>testu t dla dw\u00f3ch pr\u00f3b<\/strong> . Jednak\u017ce w tym te\u015bcie za\u0142o\u017cono, \u017ce wariancje pomi\u0119dzy obiema grupami s\u0105 r\u00f3wne.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Je\u015bli uwa\u017casz, \u017ce wariancja mi\u0119dzy dwiema grupami <em>nie jest<\/em> r\u00f3wna, mo\u017cesz u\u017cy\u0107<\/span> <strong><a href=\"https:\/\/statorials.org\" target=\"_blank\" rel=\"noopener noreferrer\">testu t Welcha<\/a><\/strong> <span style=\"color: #000000;\">, kt\u00f3ry jest nieparametrycznym odpowiednikiem testu t dla dw\u00f3ch pr\u00f3b.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Aby wykona\u0107 test t Welcha w Pythonie, mo\u017cemy u\u017cy\u0107 <a href=\"https:\/\/docs.scipy.org\/doc\/scipy\/reference\/generated\/scipy.stats.ttest_ind.html\" target=\"_blank\" rel=\"noopener noreferrer\">funkcji ttest_ind()<\/a> z biblioteki <strong>SciPy<\/strong> , kt\u00f3ra wykorzystuje nast\u0119puj\u0105c\u0105 sk\u0142adni\u0119:<\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">ttest_ind(a, b, r\u00f3wna_zmienna=Fa\u0142sz)<\/span><\/strong><\/p>\n<p> <span style=\"color: #000000;\">Z\u0142oto:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>a:<\/strong> pierwsza tablica warto\u015bci danych<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>b:<\/strong> Druga tablica warto\u015bci danych<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>zmienna_r\u00f3wna:<\/strong> nie okre\u015bla \u017cadnego za\u0142o\u017cenia dotycz\u0105cego r\u00f3wnych wariancji pomi\u0119dzy dwiema tabelami<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">W tym samouczku wyja\u015bniono, jak u\u017cywa\u0107 tej funkcji do wykonywania testu t Welcha w Pythonie.<\/span><\/p>\n<h3> <strong>Przyk\u0142ad: test t Welcha w Pythonie<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Za\u0142\u00f3\u017cmy, \u017ce chcemy por\u00f3wna\u0107 wyniki egzamin\u00f3w 12 uczni\u00f3w, kt\u00f3rzy korzystali z broszury przygotowuj\u0105cej do egzaminu w celu przygotowania si\u0119 do egzaminu, z wynikami 12 uczni\u00f3w, kt\u00f3rzy tego nie robili.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Poni\u017cszy kod pokazuje, jak wykona\u0107 test t Welcha w Pythonie, aby okre\u015bli\u0107, czy \u015brednie wyniki egzamin\u00f3w s\u0105 r\u00f3wne w obu grupach:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#import ttest_ind() function<\/span>\n<span style=\"color: #008000;\">from<\/span> scipy <span style=\"color: #008000;\">import<\/span> stats\n\n<span style=\"color: #008080;\">#define two arrays of data\n<\/span>booklet = [90, 85, 88, 89, 94, 91, 79, 83, 87, 88, 91, 90]\nno_booklet = [67, 90, 71, 95, 88, 83, 72, 66, 75, 86, 93, 84]\n\n<span style=\"color: #008080;\">#perform Welch's t-test<\/span>\nstats. <span style=\"color: #3366ff;\">ttest_ind<\/span> (booklet, no_booklet, equal_var = <span style=\"color: #008000;\">False<\/span> )\n\nTtest_indResult(statistic=2.23606797749, pvalue=0.04170979503207)\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Statystyka testowa wynosi <strong>2,2361<\/strong> , a odpowiadaj\u0105ca jej warto\u015b\u0107 p wynosi <strong>0,0417<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Poniewa\u017c ta warto\u015b\u0107 p jest mniejsza ni\u017c 0,05, mo\u017cemy odrzuci\u0107 hipotez\u0119 zerow\u0105 testu i stwierdzi\u0107, \u017ce istnieje statystycznie istotna r\u00f3\u017cnica w \u015brednich wynikach egzamin\u00f3w pomi\u0119dzy obiema grupami.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Nale\u017cy zauwa\u017cy\u0107, \u017ce dwie wielko\u015bci pr\u00f3bek w tym przyk\u0142adzie by\u0142y r\u00f3wne, ale test t Welcha nadal dzia\u0142a, nawet je\u015bli obie wielko\u015bci pr\u00f3bek nie s\u0105 r\u00f3wne.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Dodatkowe zasoby<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/pl\/test-welchsa\/\" target=\"_blank\" rel=\"noopener noreferrer\">Wprowadzenie do testu t Welcha<\/a><br \/> <a href=\"https:\/\/statorials.org\/pl\/kalkulator-testu-welchsa\/\" target=\"_blank\" rel=\"noopener noreferrer\">Kalkulator testu t Welcha<\/a><br \/> <a href=\"https:\/\/statorials.org\/pl\/welchs-testuje-program-excel\/\" target=\"_blank\" rel=\"noopener noreferrer\">Jak wykona\u0107 test t Welcha w programie Excel<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Najcz\u0119stszym sposobem por\u00f3wnania \u015brednich mi\u0119dzy dwiema niezale\u017cnymi grupami jest u\u017cycie testu t dla dw\u00f3ch pr\u00f3b . Jednak\u017ce w tym te\u015bcie za\u0142o\u017cono, \u017ce wariancje pomi\u0119dzy obiema grupami s\u0105 r\u00f3wne. Je\u015bli uwa\u017casz, \u017ce wariancja mi\u0119dzy dwiema grupami nie jest r\u00f3wna, mo\u017cesz u\u017cy\u0107 testu t Welcha , kt\u00f3ry jest nieparametrycznym odpowiednikiem testu t dla dw\u00f3ch pr\u00f3b. Aby wykona\u0107 [&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-1125","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 t Welcha w Pythonie - Statologia<\/title>\n<meta name=\"description\" content=\"W tym samouczku wyja\u015bniono, na przyk\u0142adzie, jak wykona\u0107 test t Welcha w Pythonie.\" \/>\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\/welch-przetestuj-pythona\/\" \/>\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 t Welcha w Pythonie - Statologia\" \/>\n<meta property=\"og:description\" content=\"W tym samouczku wyja\u015bniono, na przyk\u0142adzie, jak wykona\u0107 test t Welcha w Pythonie.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pl\/welch-przetestuj-pythona\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-27T13:59:57+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\/welch-przetestuj-pythona\/\",\"url\":\"https:\/\/statorials.org\/pl\/welch-przetestuj-pythona\/\",\"name\":\"Jak wykona\u0107 test t Welcha w Pythonie - Statologia\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pl\/#website\"},\"datePublished\":\"2023-07-27T13:59:57+00:00\",\"dateModified\":\"2023-07-27T13:59:57+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965\"},\"description\":\"W tym samouczku wyja\u015bniono, na przyk\u0142adzie, jak wykona\u0107 test t Welcha w Pythonie.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pl\/welch-przetestuj-pythona\/#breadcrumb\"},\"inLanguage\":\"pl-PL\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pl\/welch-przetestuj-pythona\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pl\/welch-przetestuj-pythona\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Dom\",\"item\":\"https:\/\/statorials.org\/pl\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Jak wykona\u0107 test t welcha 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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