{"id":776,"date":"2023-07-28T19:10:45","date_gmt":"2023-07-28T19:10:45","guid":{"rendered":"https:\/\/statorials.org\/pl\/ancova-excel\/"},"modified":"2023-07-28T19:10:45","modified_gmt":"2023-07-28T19:10:45","slug":"ancova-excel","status":"publish","type":"post","link":"https:\/\/statorials.org\/pl\/ancova-excel\/","title":{"rendered":"Jak wykona\u0107 ancova w programie excel"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/pl\/ankowa\/\" target=\"_blank\" rel=\"noopener noreferrer\">ANCOVA<\/a> (\u201eanaliza kowariancji\u201d) s\u0142u\u017cy do okre\u015blenia, czy istnieje statystycznie istotna r\u00f3\u017cnica mi\u0119dzy \u015brednimi trzech lub wi\u0119kszej liczby niezale\u017cnych grup, po uwzgl\u0119dnieniu jednej lub wi\u0119kszej liczby <a href=\"https:\/\/statorials.org\/pl\/wspo\u0142zmienna-2\/\" target=\"_blank\" rel=\"noopener noreferrer\">wsp\u00f3\u0142zmiennych<\/a> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">W tym samouczku wyja\u015bniono, jak wykona\u0107 ANCOVA w programie Excel.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Przyk\u0142ad: ANCOVA w Excelu<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Nauczycielka chce wiedzie\u0107, czy trzy r\u00f3\u017cne techniki uczenia si\u0119 wp\u0142ywaj\u0105 na wyniki egzaminu, ale chce wzi\u0105\u0107 pod uwag\u0119 aktualn\u0105 ocen\u0119, jak\u0105 ucze\u0144 ma ju\u017c w klasie.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Wykona ANCOVA przy u\u017cyciu nast\u0119puj\u0105cych zmiennych:<\/span><\/p>\n<ul data-slot-rendered-dynamic=\"true\">\n<li> <span style=\"color: #000000;\"><strong>Zmienna czynnikowa:<\/strong> badanie techniczne<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Wsp\u00f3\u0142zmienna:<\/strong> aktualny wynik<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Zmienna odpowiedzi:<\/strong> wynik egzaminu<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Poni\u017csza tabela przedstawia zbi\u00f3r danych 15 student\u00f3w zakwalifikowanych do udzia\u0142u w badaniu:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-8542 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/anova1.png\" alt=\"Zbi\u00f3r danych ANCOVA w Excelu\" width=\"460\" height=\"307\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Wykonaj nast\u0119puj\u0105ce kroki, aby wykona\u0107 ANCOVA na tym zbiorze danych:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Krok 1: Wprowad\u017a dane.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Najpierw wprowad\u017a dane w nast\u0119puj\u0105cym formacie:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-8548 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/ancovaexcel1.png\" alt=\"Format ANCOVA w Excelu\" width=\"630\" height=\"280\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Krok 2: Oblicz \u015bredni\u0105 i wariancj\u0119 dla ka\u017cdej kolumny.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Nast\u0119pnie oblicz \u015bredni\u0105 i wariancj\u0119 dla ka\u017cdej kolumny:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-8549 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/ancovaexcel2.png\" alt=\"\" width=\"620\" height=\"252\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Krok 3: Oblicz nachylenie linii regresji.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Nast\u0119pnie obliczymy nachylenie linii regresji wynik\u00f3w egzaminu dla ka\u017cdej techniki badawczej.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><em><strong>Uwaga:<\/strong> Kom\u00f3rki B21:E28 pokazuj\u0105 formu\u0142y u\u017cyte do uzyskania warto\u015bci w kom\u00f3rkach B13:E19.<\/em><\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-8553 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/ancovaexcel3.png\" alt=\"\" width=\"661\" height=\"437\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Krok 4: Wykonaj jednoczynnikow\u0105 analiz\u0119 ANOVA oddzielnie dla wynik\u00f3w egzaminu i aktualnej oceny.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Nast\u0119pnie przeprowadzimy jednokierunkow\u0105 ANOVA na wynikach egzaminu:<\/span><\/p>\n<p> <em><span style=\"color: #000000;\"><b>Odniesienie:<\/b> <a href=\"https:\/\/statorials.org\/pl\/w-jedna-strone-anova-excel\/\" target=\"_blank\" rel=\"noopener noreferrer\">Jak wykona\u0107 jednokierunkow\u0105 analiz\u0119 wariancji w programie Excel<\/a><\/span><\/em> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-8554 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/ancovaexcel4.png\" alt=\"\" width=\"558\" height=\"143\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Nast\u0119pnie przeprowadzimy jednokierunkow\u0105 analiz\u0119 ANOVA na bie\u017c\u0105cych ocenach:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-8555 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/ancovaexcel5.png\" alt=\"\" width=\"554\" height=\"111\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Krok 5: Wype\u0142nij tabel\u0119 ANCOVA.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Nast\u0119pnie wype\u0142nimy tabel\u0119 ANCOVA.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><em><strong>Uwaga:<\/strong> Kom\u00f3rki H39:M43 pokazuj\u0105 formu\u0142y u\u017cyte do uzyskania warto\u015bci w kom\u00f3rkach B39:F43.<\/em><\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-8558 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/ancovaexcel6-1.png\" alt=\"\" width=\"675\" height=\"401\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Krok 6: Interpretacja wynik\u00f3w.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Z tabeli ANCOVA widzimy, \u017ce warto\u015b\u0107 p dla techniki badania wynosi <strong>0,032<\/strong> . Poniewa\u017c warto\u015b\u0107 ta jest mniejsza ni\u017c 0,05, mo\u017cemy odrzuci\u0107 hipotez\u0119 zerow\u0105, \u017ce ka\u017cda z technik badania prowadzi do tej samej \u015bredniej oceny z egzaminu, <em>nawet po uwzgl\u0119dnieniu aktualnej oceny studenta z zaj\u0119\u0107<\/em> .<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>ANCOVA (\u201eanaliza kowariancji\u201d) s\u0142u\u017cy do okre\u015blenia, czy istnieje statystycznie istotna r\u00f3\u017cnica mi\u0119dzy \u015brednimi trzech lub wi\u0119kszej liczby niezale\u017cnych grup, po uwzgl\u0119dnieniu jednej lub wi\u0119kszej liczby wsp\u00f3\u0142zmiennych . W tym samouczku wyja\u015bniono, jak wykona\u0107 ANCOVA w programie Excel. Przyk\u0142ad: ANCOVA w Excelu Nauczycielka chce wiedzie\u0107, czy trzy r\u00f3\u017cne techniki uczenia si\u0119 wp\u0142ywaj\u0105 na wyniki egzaminu, ale [&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-776","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 ANCOVA w programie Excel - Statologia<\/title>\n<meta name=\"description\" content=\"Proste wyja\u015bnienie, jak wykona\u0107 ANCOVA w programie Excel, w tym przyk\u0142ad krok po kroku.\" \/>\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\/ancova-excel\/\" \/>\n<meta property=\"og:locale\" content=\"pl_PL\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Jak wykona\u0107 ANCOVA w programie Excel - Statologia\" \/>\n<meta property=\"og:description\" content=\"Proste wyja\u015bnienie, jak wykona\u0107 ANCOVA w programie Excel, w tym przyk\u0142ad krok po kroku.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pl\/ancova-excel\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-28T19:10:45+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/anova1.png\" \/>\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\/ancova-excel\/\",\"url\":\"https:\/\/statorials.org\/pl\/ancova-excel\/\",\"name\":\"Jak wykona\u0107 ANCOVA w programie Excel - Statologia\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pl\/#website\"},\"datePublished\":\"2023-07-28T19:10:45+00:00\",\"dateModified\":\"2023-07-28T19:10:45+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965\"},\"description\":\"Proste wyja\u015bnienie, jak wykona\u0107 ANCOVA w programie Excel, w tym przyk\u0142ad krok po kroku.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pl\/ancova-excel\/#breadcrumb\"},\"inLanguage\":\"pl-PL\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pl\/ancova-excel\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pl\/ancova-excel\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Dom\",\"item\":\"https:\/\/statorials.org\/pl\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Jak wykona\u0107 ancova 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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