{"id":2603,"date":"2023-07-21T13:10:40","date_gmt":"2023-07-21T13:10:40","guid":{"rendered":"https:\/\/statorials.org\/pl\/kuder-richardson-20\/"},"modified":"2023-07-21T13:10:40","modified_gmt":"2023-07-21T13:10:40","slug":"kuder-richardson-20","status":"publish","type":"post","link":"https:\/\/statorials.org\/pl\/kuder-richardson-20\/","title":{"rendered":"Formu\u0142a 20 kudera-richardsona (definicja i przyk\u0142ad)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Formu\u0142a Kudera-Richardsona 20<\/strong> , cz\u0119sto w skr\u00f3cie KR-20, s\u0142u\u017cy do pomiaru rzetelno\u015bci <a href=\"https:\/\/statorials.org\/pl\/spojnosc-wewnetrzna\/\" target=\"_blank\" rel=\"noopener\">wewn\u0119trznej sp\u00f3jno\u015bci<\/a> testu, w kt\u00f3rym na ka\u017cde pytanie maj\u0105 tylko dwie odpowiedzi: dobra lub z\u0142a.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Formu\u0142a Kudera-Richardsona 20 wygl\u0105da nast\u0119puj\u0105co:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>KR-20 = (k \/ (k-1)) * (1 \u2013 \u03a3p <sub>j<\/sub> q <sub>j<\/sub> \/ \u03c3 <sup>2<\/sup> )<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Z\u0142oto:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>k<\/strong> : Ca\u0142kowita liczba pyta\u0144<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong><sub>pj<\/sub><\/strong> : Odsetek os\u00f3b, kt\u00f3re odpowiedzia\u0142y poprawnie na pytanie j<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>q <sub>j<\/sub><\/strong> : Odsetek os\u00f3b, kt\u00f3re odpowiedzia\u0142y niepoprawnie na pytanie j<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u03c3 <sup>2<\/sup><\/strong> : R\u00f3\u017cnice w wynikach wszystkich os\u00f3b, kt\u00f3re przyst\u0105pi\u0142y do testu<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Warto\u015b\u0107 KR-20 waha si\u0119 od 0 do 1, przy czym wy\u017csze warto\u015bci wskazuj\u0105 na wy\u017csz\u0105 niezawodno\u015b\u0107.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Poni\u017cszy przyk\u0142ad pokazuje jak w praktyce obliczy\u0107 warto\u015b\u0107 KR-20.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Przyk\u0142ad: Obliczenie wzoru Kudera-Richardsona 20<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Za\u0142\u00f3\u017cmy, \u017ce przeprowadzamy test sk\u0142adaj\u0105cy si\u0119 z 7 pyta\u0144 dla 10 uczni\u00f3w.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Wyniki testu przedstawiono poni\u017cej w programie Excel, gdzie 1 oznacza poprawn\u0105 odpowied\u017a, a 0 oznacza b\u0142\u0119dn\u0105 odpowied\u017a:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-23006 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/kr1-1.jpg\" alt=\"\" width=\"629\" height=\"471\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Poni\u017cszy zrzut ekranu pokazuje, jak obliczy\u0107 warto\u015b\u0107 KR-20 dla tego testu:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-23007 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/kr2-1.jpg\" alt=\"\" width=\"596\" height=\"564\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Oto formu\u0142y u\u017cywane w r\u00f3\u017cnych kom\u00f3rkach:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>B13<\/strong> : =SUMA(B2:B11) \/ 10<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>B14<\/strong> : =1-B13<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>B15<\/strong> : =B13*B14<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>B17<\/strong> : = LICZBA(B1:H1)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>B18<\/strong> : =SUMA(B15:H15)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>B19<\/strong> : =VAR.S(I2:I11)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>B20<\/strong> : =(B17\/(B17-1))*(1-B18\/B19)<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Warto\u015b\u0107 KR-20 okazuje si\u0119 wynosi\u0107 <strong>0,0603<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Warto\u015b\u0107 ta jest wyj\u0105tkowo niska, co oznacza, \u017ce test jest niewiarygodny.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Oznacza to, \u017ce pytania mog\u0105 wymaga\u0107 przepisania lub sformu\u0142owania w spos\u00f3b zwi\u0119kszaj\u0105cy wiarygodno\u015b\u0107 testu.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Dodatkowe zasoby<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Poni\u017csze samouczki zawieraj\u0105 wyja\u015bnienia termin\u00f3w powszechnie u\u017cywanych do oceny wa\u017cno\u015bci test\u00f3w i kwestionariuszy:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/pl\/spojnosc-wewnetrzna\/\" target=\"_blank\" rel=\"noopener\">Czym jest sp\u00f3jno\u015b\u0107 wewn\u0119trzna?<\/a><br \/> <a href=\"https:\/\/statorials.org\/pl\/analiza-niezawodnosci\/\" target=\"_blank\" rel=\"noopener\">Co to jest analiza niezawodno\u015bci?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Formu\u0142a Kudera-Richardsona 20 , cz\u0119sto w skr\u00f3cie KR-20, s\u0142u\u017cy do pomiaru rzetelno\u015bci wewn\u0119trznej sp\u00f3jno\u015bci testu, w kt\u00f3rym na ka\u017cde pytanie maj\u0105 tylko dwie odpowiedzi: dobra lub z\u0142a. Formu\u0142a Kudera-Richardsona 20 wygl\u0105da nast\u0119puj\u0105co: KR-20 = (k \/ (k-1)) * (1 \u2013 \u03a3p j q j \/ \u03c3 2 ) Z\u0142oto: k : Ca\u0142kowita liczba pyta\u0144 pj [&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-2603","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>Formu\u0142a 20 Kudera-Richardsona (definicja i przyk\u0142ad) \u2013 Statologia<\/title>\n<meta name=\"description\" content=\"W tym samouczku wyja\u015bniono wz\u00f3r Kudera-Richardsona 20, \u0142\u0105cznie z formaln\u0105 definicj\u0105 i przyk\u0142adem.\" \/>\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\/kuder-richardson-20\/\" \/>\n<meta property=\"og:locale\" content=\"pl_PL\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Formu\u0142a 20 Kudera-Richardsona (definicja i przyk\u0142ad) \u2013 Statologia\" \/>\n<meta property=\"og:description\" content=\"W tym samouczku wyja\u015bniono wz\u00f3r Kudera-Richardsona 20, \u0142\u0105cznie z formaln\u0105 definicj\u0105 i przyk\u0142adem.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pl\/kuder-richardson-20\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-21T13:10:40+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/kr1-1.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=\"1 minuta\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/pl\/kuder-richardson-20\/\",\"url\":\"https:\/\/statorials.org\/pl\/kuder-richardson-20\/\",\"name\":\"Formu\u0142a 20 Kudera-Richardsona (definicja i przyk\u0142ad) \u2013 Statologia\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pl\/#website\"},\"datePublished\":\"2023-07-21T13:10:40+00:00\",\"dateModified\":\"2023-07-21T13:10:40+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965\"},\"description\":\"W tym samouczku wyja\u015bniono wz\u00f3r Kudera-Richardsona 20, \u0142\u0105cznie z formaln\u0105 definicj\u0105 i przyk\u0142adem.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pl\/kuder-richardson-20\/#breadcrumb\"},\"inLanguage\":\"pl-PL\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pl\/kuder-richardson-20\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pl\/kuder-richardson-20\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Dom\",\"item\":\"https:\/\/statorials.org\/pl\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Formu\u0142a 20 kudera-richardsona (definicja i przyk\u0142ad)\"}]},{\"@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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