{"id":703,"date":"2023-07-29T01:01:24","date_gmt":"2023-07-29T01:01:24","guid":{"rendered":"https:\/\/statorials.org\/pl\/test-niezaleznosci-chi-kwadrat-kalkulator-ti-84\/"},"modified":"2023-07-29T01:01:24","modified_gmt":"2023-07-29T01:01:24","slug":"test-niezaleznosci-chi-kwadrat-kalkulator-ti-84","status":"publish","type":"post","link":"https:\/\/statorials.org\/pl\/test-niezaleznosci-chi-kwadrat-kalkulator-ti-84\/","title":{"rendered":"Test niezale\u017cno\u015bci chi-kwadrat na kalkulatorze ti-84"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><strong><a href=\"https:\/\/statorials.org\/pl\/test-niezaleznosci-chi-kwadrat\/\" target=\"_blank\" rel=\"noopener\">Test niezale\u017cno\u015bci chi-kwadrat<\/a><\/strong> s\u0142u\u017cy do okre\u015blenia, czy istnieje istotny zwi\u0105zek mi\u0119dzy dwiema zmiennymi kategorycznymi.<\/p>\n<p> <span style=\"color: #000000;\">W tym samouczku wyja\u015bniono, jak wykona\u0107 test niezale\u017cno\u015bci chi-kwadrat na kalkulatorze TI-84.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Przyk\u0142ad: Test niezale\u017cno\u015bci chi-kwadrat na kalkulatorze TI-84<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Za\u0142\u00f3\u017cmy, \u017ce chcemy wiedzie\u0107, czy p\u0142e\u0107 jest powi\u0105zana z preferencj\u0105 partii politycznej. Bierzemy prost\u0105 losow\u0105 pr\u00f3b\u0119 500 wyborc\u00f3w i pytamy ich o preferencje dotycz\u0105ce partii politycznych. Wyniki badania prezentuje poni\u017csza tabela:<\/span><\/p>\n<table width=\"379\">\n<tbody>\n<tr>\n<td width=\"84\"><\/td>\n<td width=\"74\"> <span style=\"color: #000000;\"><strong>Republika\u0144ski<\/strong><\/span><\/td>\n<td width=\"74\"> <span style=\"color: #000000;\"><strong>Demokrata<\/strong><\/span><\/td>\n<td width=\"110\"> <span style=\"color: #000000;\"><strong>Niezale\u017cny<\/strong><\/span><\/td>\n<td width=\"37\"> <span style=\"color: #000000;\"><strong>Ca\u0142kowity<\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td> <span style=\"color: #000000;\"><strong>M\u0119\u017cczyzna<\/strong><\/span><\/td>\n<td> <span style=\"color: #000000;\">120<\/span><\/td>\n<td> <span style=\"color: #000000;\">90<\/span><\/td>\n<td> <span style=\"color: #000000;\">40<\/span><\/td>\n<td> <span style=\"color: #000000;\">250<\/span><\/td>\n<\/tr>\n<tr>\n<td> <span style=\"color: #000000;\"><strong>Kobieta<\/strong><\/span><\/td>\n<td> <span style=\"color: #000000;\">110<\/span><\/td>\n<td> <span style=\"color: #000000;\">95<\/span><\/td>\n<td> <span style=\"color: #000000;\">45<\/span><\/td>\n<td> <span style=\"color: #000000;\">250<\/span><\/td>\n<\/tr>\n<tr>\n<td> <span style=\"color: #000000;\"><strong>Ca\u0142kowity<\/strong><\/span><\/td>\n<td> <span style=\"color: #000000;\">230<\/span><\/td>\n<td> <span style=\"color: #000000;\">185<\/span><\/td>\n<td> <span style=\"color: #000000;\">85<\/span><\/td>\n<td> <span style=\"color: #000000;\">500<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p data-slot-rendered-dynamic=\"true\"> <span style=\"color: #000000;\">Wykonaj poni\u017csze kroki, aby przeprowadzi\u0107 test niezale\u017cno\u015bci chi-kwadrat w celu ustalenia, czy p\u0142e\u0107 jest powi\u0105zana z preferencjami partii politycznych.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Krok 1: Wprowad\u017a dane.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Najpierw wprowadzimy dane do macierzy. Naci\u015bnij <span style=\"border: 1px solid black;\">2.,<\/span> a nast\u0119pnie naci\u015bnij <span style=\"border: 1px solid black;\">x <sup>-1<\/sup><\/span> . Przewi\u0144 w d\u00f3\u0142 do <strong>opcji Edytuj<\/strong> , pod\u015bwietl dowoln\u0105 pust\u0105 macierz i naci\u015bnij <span style=\"border: 1px solid black;\">Enter<\/span> . Nast\u0119pnie wybierz liczb\u0119 wierszy (w naszym przypadku 2) i kolumn (w naszym przypadku 3) do wykorzystania w macierzy i wprowad\u017a surowe dane:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-6997 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/chiindepti1.png\" alt=\"Surowa macierz w kalkulatorze TI-84\" width=\"289\" height=\"133\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Krok 2: Wykonaj test niezale\u017cno\u015bci chi-kwadrat.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Nast\u0119pnie przeprowadzimy test niezale\u017cno\u015bci Chi-kwadrat na w\u0142a\u015bnie utworzonej macierzy. Naci\u015bnij <span style=\"border: 1px solid black;\">stat<\/span> i przewi\u0144 do <strong>TESTY<\/strong> . Nast\u0119pnie przewi\u0144 w d\u00f3\u0142 do <strong>X <sup>2<\/sup> -Test<\/strong> i naci\u015bnij <span style=\"border: 1px solid black;\">Enter<\/span> .<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-6998 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/chiindepti2.png\" alt=\"Test niezale\u017cno\u015bci chi-kwadrat na kalkulatorze TI-84\" width=\"313\" height=\"186\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Dla <strong>opcji Obserwowane<\/strong> wybierz macierz, w kt\u00f3rej wprowadzi\u0142e\u015b dane. W naszym przypadku wykorzystali\u015bmy macierz A. Dla <strong>Oczekiwana<\/strong> mo\u017ce to by\u0107 dowolna pusta macierz (kalkulator automatycznie wygeneruje nam oczekiwane warto\u015bci). W naszym przypadku pozostawimy to jako macierz B.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Nast\u0119pnie pod\u015bwietl <strong>Oblicz<\/strong> i naci\u015bnij <span style=\"border: 1px solid black;\">Enter<\/span> .<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-7002 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/chiindepti4.png\" alt=\"Przyk\u0142ad testu niezale\u017cno\u015bci chi-kwadrat na kalkulatorze TI-84\" width=\"337\" height=\"142\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Nast\u0119puj\u0105ce dane wyj\u015bciowe zostan\u0105 automatycznie wy\u015bwietlone:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-6999 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/chiindepti3.png\" alt=\"Wynik testu niezale\u017cno\u015bci chi-kwadrat na kalkulatorze TI-84\" width=\"311\" height=\"86\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Krok 3: Interpretacja wynik\u00f3w.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Statystyka testu <sup>X2<\/sup> wynosi <strong>0,8640<\/strong> , a odpowiadaj\u0105ca jej warto\u015b\u0107 p wynosi <strong>0,6492<\/strong> . Poniewa\u017c ta warto\u015b\u0107 p jest nie mniejsza ni\u017c 0,05, nie mo\u017cemy odrzuci\u0107 hipotezy zerowej. Oznacza to, \u017ce nie mamy wystarczaj\u0105cych dowod\u00f3w, aby stwierdzi\u0107, \u017ce istnieje zwi\u0105zek mi\u0119dzy p\u0142ci\u0105 a preferencjami partii politycznych.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Test niezale\u017cno\u015bci chi-kwadrat s\u0142u\u017cy do okre\u015blenia, czy istnieje istotny zwi\u0105zek mi\u0119dzy dwiema zmiennymi kategorycznymi. W tym samouczku wyja\u015bniono, jak wykona\u0107 test niezale\u017cno\u015bci chi-kwadrat na kalkulatorze TI-84. Przyk\u0142ad: Test niezale\u017cno\u015bci chi-kwadrat na kalkulatorze TI-84 Za\u0142\u00f3\u017cmy, \u017ce chcemy wiedzie\u0107, czy p\u0142e\u0107 jest powi\u0105zana z preferencj\u0105 partii politycznej. Bierzemy prost\u0105 losow\u0105 pr\u00f3b\u0119 500 wyborc\u00f3w i pytamy ich o [&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-703","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>Test niezale\u017cno\u015bci chi-kwadrat na kalkulatorze TI-84 - Statorials<\/title>\n<meta name=\"description\" content=\"Proste wyja\u015bnienie, jak wykona\u0107 test niezale\u017cno\u015bci chi-kwadrat na kalkulatorze TI-84.\" \/>\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-niezaleznosci-chi-kwadrat-kalkulator-ti-84\/\" \/>\n<meta property=\"og:locale\" content=\"pl_PL\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Test niezale\u017cno\u015bci chi-kwadrat na kalkulatorze TI-84 - Statorials\" \/>\n<meta property=\"og:description\" content=\"Proste wyja\u015bnienie, jak wykona\u0107 test niezale\u017cno\u015bci chi-kwadrat na kalkulatorze TI-84.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pl\/test-niezaleznosci-chi-kwadrat-kalkulator-ti-84\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-29T01:01:24+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/chiindepti1.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\/test-niezaleznosci-chi-kwadrat-kalkulator-ti-84\/\",\"url\":\"https:\/\/statorials.org\/pl\/test-niezaleznosci-chi-kwadrat-kalkulator-ti-84\/\",\"name\":\"Test niezale\u017cno\u015bci chi-kwadrat na kalkulatorze TI-84 - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pl\/#website\"},\"datePublished\":\"2023-07-29T01:01:24+00:00\",\"dateModified\":\"2023-07-29T01:01:24+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965\"},\"description\":\"Proste wyja\u015bnienie, jak wykona\u0107 test niezale\u017cno\u015bci chi-kwadrat na kalkulatorze TI-84.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pl\/test-niezaleznosci-chi-kwadrat-kalkulator-ti-84\/#breadcrumb\"},\"inLanguage\":\"pl-PL\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pl\/test-niezaleznosci-chi-kwadrat-kalkulator-ti-84\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pl\/test-niezaleznosci-chi-kwadrat-kalkulator-ti-84\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Dom\",\"item\":\"https:\/\/statorials.org\/pl\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Test niezale\u017cno\u015bci chi-kwadrat na kalkulatorze ti-84\"}]},{\"@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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