{"id":26638,"date":"2023-02-08T09:50:00","date_gmt":"2023-02-08T12:50:00","guid":{"rendered":"https:\/\/mindthegraph.com\/blog\/the-science-behind-falling-in-love-copy\/"},"modified":"2023-04-05T10:55:10","modified_gmt":"2023-04-05T13:55:10","slug":"statistics-parametric-tests","status":"publish","type":"post","link":"https:\/\/mindthegraph.com\/blog\/cs\/statistics-parametric-tests\/","title":{"rendered":"Co jsou statistick\u00e9 parametrick\u00e9 testy a kde je pou\u017e\u00edt?"},"content":{"rendered":"<p>Statistick\u00e9 parametrick\u00e9 testy jsou typem statistick\u00e9 anal\u00fdzy, kter\u00e1 se pou\u017e\u00edv\u00e1 k testov\u00e1n\u00ed hypot\u00e9z o popula\u010dn\u00edm pr\u016fm\u011bru a rozptylu. Tyto testy jsou zalo\u017eeny na p\u0159edpokladu, \u017ee z\u00e1kladn\u00ed data se \u0159\u00edd\u00ed norm\u00e1ln\u00edm rozd\u011blen\u00edm, a maj\u00ed n\u011bkolik kl\u00ed\u010dov\u00fdch vlastnost\u00ed, v\u010detn\u011b robustnosti, spolehlivosti a schopnosti odhalit jemn\u00e9 rozd\u00edly v datech.<\/p>\n\n\n\n<p>Parametrick\u00e9 testy se \u010dasto pou\u017e\u00edvaj\u00ed v r\u016fzn\u00fdch aplikac\u00edch, v\u010detn\u011b l\u00e9ka\u0159sk\u00e9ho v\u00fdzkumu, v\u00fdzkumu trhu a soci\u00e1ln\u00edch v\u011bd. V t\u011bchto oborech mohou v\u00fdzkumn\u00edci pou\u017e\u00edvat parametrick\u00e9 testy k ur\u010den\u00ed v\u00fdznamnosti zm\u011bn popula\u010dn\u00edch pr\u016fm\u011br\u016f nebo rozptyl\u016f nebo k ur\u010den\u00ed, zda ur\u010dit\u00e1 l\u00e9\u010dba nebo intervence m\u011bla na data v\u00fdznamn\u00fd vliv.<\/p>\n\n\n\n<h2>Nejb\u011b\u017en\u011bj\u0161\u00ed typy statistick\u00fdch parametrick\u00fdch test\u016f<\/h2>\n\n\n\n<h3>T-test&nbsp;<\/h3>\n\n\n\n<p>Jedn\u00edm z nej\u010dast\u011bji pou\u017e\u00edvan\u00fdch parametrick\u00fdch test\u016f je t-test, kter\u00fd se pou\u017e\u00edv\u00e1 k porovn\u00e1n\u00ed pr\u016fm\u011br\u016f dvou populac\u00ed. . <a href=\"https:\/\/www.ncbi.nlm.nih.gov\/pmc\/articles\/PMC4667138\/\">t-test<\/a> p\u0159edpokl\u00e1d\u00e1, \u017ee z\u00e1kladn\u00ed data jsou norm\u00e1ln\u011b rozd\u011blena a \u017ee rozptyly obou populac\u00ed jsou stejn\u00e9. Testovac\u00ed statistika se vypo\u010d\u00edt\u00e1 pomoc\u00ed rozd\u00edlu st\u0159edn\u00edch hodnot obou populac\u00ed vyd\u011blen\u00e9ho sm\u011brodatnou chybou rozd\u00edlu.<\/p>\n\n\n\n<h3>Test ANOVA<\/h3>\n\n\n\n<p>Dal\u0161\u00edm b\u011b\u017en\u00fdm parametrick\u00fdm testem je anal\u00fdza rozptylu (ANOVA), kter\u00e1 se pou\u017e\u00edv\u00e1 k porovn\u00e1n\u00ed pr\u016fm\u011br\u016f t\u0159\u00ed nebo v\u00edce populac\u00ed. . <a href=\"https:\/\/jbhender.github.io\/Stats506\/F18\/GP\/Group3.html\">Test ANOVA<\/a> p\u0159edpokl\u00e1d\u00e1, \u017ee z\u00e1kladn\u00ed data jsou norm\u00e1ln\u011b rozd\u011blena a \u017ee rozptyly v\u0161ech populac\u00ed jsou stejn\u00e9. Testovac\u00ed statistika se vypo\u010d\u00edt\u00e1 pomoc\u00ed pom\u011bru rozptylu mezi populacemi a rozptylu uvnit\u0159 populac\u00ed.<\/p>\n\n\n\n<h3>Dal\u0161\u00ed parametrick\u00e9 testy<\/h3>\n\n\n\n<p>Krom\u011b t-testu a ANOVA existuje n\u011bkolik dal\u0161\u00edch statistick\u00fdch parametrick\u00fdch test\u016f, kter\u00e9 se pou\u017e\u00edvaj\u00ed v r\u016fzn\u00fdch aplikac\u00edch, v\u010detn\u011b p\u00e1rov\u00e9ho t-testu, jednocestn\u00e9 ANOVY, dvoucestn\u00e9 ANOVY, ANOVY s opakovan\u00fdmi m\u011b\u0159en\u00edmi a ANOVY se sm\u00ed\u0161en\u00fdm designem. Ka\u017ed\u00fd z t\u011bchto test\u016f m\u00e1 jin\u00e9 p\u0159edpoklady a testov\u00e9 statistiky a pou\u017e\u00edv\u00e1 se k \u0159e\u0161en\u00ed r\u016fzn\u00fdch typ\u016f v\u00fdzkumn\u00fdch ot\u00e1zek.<\/p>\n\n\n\n<p>Jednou z hlavn\u00edch v\u00fdhod parametrick\u00fdch test\u016f je jejich robustnost, co\u017e znamen\u00e1, \u017ee nejsou citliv\u00e9 na tvar rozd\u011blen\u00ed z\u00e1kladn\u00edch dat. Pokud jsou data p\u0159ibli\u017en\u011b norm\u00e1ln\u011b rozd\u011blena, mohou parametrick\u00e9 testy poskytovat p\u0159esn\u00e9 v\u00fdsledky.<\/p>\n\n\n\n<h2>Vytv\u00e1\u0159ejte \u00fa\u017easn\u00e9 infografiky b\u011bhem n\u011bkolika minut<\/h2>\n\n\n\n<p>Mind the Graph je dokonal\u00fdm n\u00e1strojem pro shroma\u017e\u010fov\u00e1n\u00ed dat a jejich vizu\u00e1ln\u00ed prezentaci. Pomoc\u00ed graf\u016f, tabulek a v\u011bdeck\u00fdch ilustrac\u00ed usnadn\u00edte pochopen\u00ed sv\u00e9 pr\u00e1ce.<\/p>\n\n\n\n<div style=\"height:18px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"is-layout-flex wp-block-buttons\">\n<div class=\"wp-block-button aligncenter\"><a class=\"wp-block-button__link has-background wp-element-button\" href=\"https:\/\/mindthegraph.com\/\" style=\"border-radius:50px;background-color:#dc1866\" target=\"_blank\" rel=\"noreferrer noopener\">Vytvo\u0159en\u00ed m\u00e9 prvn\u00ed infografiky<\/a><\/div>\n<\/div>\n\n\n\n<div style=\"height:18px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h2>Spolehlivost statistick\u00fdch parametrick\u00fdch test\u016f<\/h2>\n\n\n\n<p>Dal\u0161\u00ed v\u00fdhodou parametrick\u00fdch test\u016f je jejich spolehlivost, proto\u017ee jsou zalo\u017eeny na dob\u0159e zaveden\u00fdch statistick\u00fdch metod\u00e1ch a p\u0159edpokladech. V\u00fdsledky parametrick\u00fdch test\u016f jsou vysoce opakovateln\u00e9 a lze je pou\u017e\u00edt k platn\u00fdm z\u00e1v\u011br\u016fm o z\u00e1kladn\u00ed populaci.<\/p>\n\n\n\n<p>Navzdory mnoha v\u00fdhod\u00e1m nejsou parametrick\u00e9 testy v\u017edy nejlep\u0161\u00ed volbou pro ka\u017ed\u00fd soubor dat. V n\u011bkter\u00fdch p\u0159\u00edpadech nemus\u00ed b\u00fdt z\u00e1kladn\u00ed data norm\u00e1ln\u011b rozd\u011blena nebo rozptyly populac\u00ed nemus\u00ed b\u00fdt stejn\u00e9. V t\u011bchto p\u0159\u00edpadech mohou b\u00fdt vhodn\u011bj\u0161\u00ed neparametrick\u00e9 testy.<\/p>\n\n\n\n<h2>Parametrick\u00e9 testy vs. neparametrick\u00e9 testy<\/h2>\n\n\n\n<p>Neparametrick\u00e9 testy jsou typem statistick\u00e9 anal\u00fdzy, kter\u00e1 ne\u010din\u00ed \u017e\u00e1dn\u00e9 p\u0159edpoklady o z\u00e1kladn\u00edm rozd\u011blen\u00ed dat. M\u00edsto toho se p\u0159i ur\u010dov\u00e1n\u00ed v\u00fdznamnosti v\u00fdsledk\u016f spol\u00e9haj\u00ed na po\u0159ad\u00ed dat. Mezi b\u011b\u017en\u00e9 neparametrick\u00e9 testy pat\u0159\u00ed nap\u0159. <a href=\"https:\/\/data.library.virginia.edu\/the-wilcoxon-rank-sum-test\/\">Wilcoxon\u016fv rank-sum test<\/a>... <a href=\"https:\/\/en.wikipedia.org\/wiki\/Kruskal%E2%80%93Wallis_one-way_analysis_of_variance\">Kruskal\u016fv-Wallis\u016fv test<\/a>a <a href=\"https:\/\/en.wikipedia.org\/wiki\/Mann%E2%80%93Whitney_U_test\">Mann\u016fv-Whitneyho test<\/a>.<\/p>\n\n\n\n<p>P\u0159i volb\u011b mezi parametrick\u00fdmi a neparametrick\u00fdmi testy je d\u016fle\u017eit\u00e9 vz\u00edt v \u00favahu povahu dat a \u0159e\u0161enou v\u00fdzkumnou ot\u00e1zku. Obecn\u011b plat\u00ed, \u017ee parametrick\u00e9 testy jsou vhodn\u00e9 pro data, kter\u00e1 jsou norm\u00e1ln\u011b rozd\u011blena a maj\u00ed stejn\u00e9 rozptyly, zat\u00edmco neparametrick\u00e9 testy jsou vhodn\u00e9 pro data, kter\u00e1 tyto p\u0159edpoklady nespl\u0148uj\u00ed.<\/p>\n\n\n\n<h2>P\u0159\u00edklad statistick\u00e9ho parametrick\u00e9ho testu<\/h2>\n\n\n\n<p>P\u0159edpokl\u00e1dejme, \u017ee v\u00fdzkumn\u00edk m\u00e1 z\u00e1jem zjistit, zda existuje rozd\u00edl v pr\u016fm\u011brn\u00e9 v\u00fd\u0161ce dvou skupin d\u011bt\u00ed - skupiny A a skupiny B. Za t\u00edmto \u00fa\u010delem vybere n\u00e1hodn\u011b 20 d\u011bt\u00ed z ka\u017ed\u00e9 skupiny a zm\u011b\u0159\u00ed jejich v\u00fd\u0161ku.<\/p>\n\n\n\n<p>V\u00fdzkumn\u00edk chce zjistit, zda se pr\u016fm\u011brn\u00e1 v\u00fd\u0161ka d\u011bt\u00ed ve skupin\u011b A li\u0161\u00ed od pr\u016fm\u011brn\u00e9 v\u00fd\u0161ky d\u011bt\u00ed ve skupin\u011b B. K ov\u011b\u0159en\u00ed t\u00e9to hypot\u00e9zy m\u016f\u017ee v\u00fdzkumn\u00edk pou\u017e\u00edt dvouv\u00fdb\u011brov\u00fd t-test. T-test p\u0159edpokl\u00e1d\u00e1, \u017ee z\u00e1kladn\u00ed data jsou norm\u00e1ln\u011b rozd\u011blena a \u017ee rozptyly obou skupin jsou stejn\u00e9.<\/p>\n\n\n\n<p>V\u00fdzkumn\u00edk vypo\u010d\u00edt\u00e1 pr\u016fm\u011brnou v\u00fd\u0161ku pro ka\u017edou skupinu a zjist\u00ed, \u017ee pr\u016fm\u011brn\u00e1 v\u00fd\u0161ka skupiny A je 150 cm a pr\u016fm\u011brn\u00e1 v\u00fd\u0161ka skupiny B je 155 cm. V\u00fdzkumn\u00edk pot\u00e9 vypo\u010d\u00edt\u00e1 sm\u011brodatnou odchylku pro ka\u017edou skupinu a zjist\u00ed, \u017ee sm\u011brodatn\u00e1 odchylka pro skupinu A je 5 cm a sm\u011brodatn\u00e1 odchylka pro skupinu B je 4 cm.<\/p>\n\n\n\n<p>D\u00e1le v\u00fdzkumn\u00edk vypo\u010d\u00edt\u00e1 t-statistiku pomoc\u00ed rozd\u00edlu pr\u016fm\u011br\u016f obou skupin, kter\u00fd vyd\u011bl\u00ed sm\u011brodatnou chybou rozd\u00edlu. Pokud je t-statistika v\u011bt\u0161\u00ed ne\u017e kritick\u00e1 hodnota ur\u010den\u00e1 hladinou v\u00fdznamnosti a stupni volnosti, m\u016f\u017ee v\u00fdzkumn\u00edk doj\u00edt k z\u00e1v\u011bru, \u017ee existuje v\u00fdznamn\u00fd rozd\u00edl v pr\u016fm\u011brn\u00e9 v\u00fd\u0161ce d\u011bt\u00ed ve skupin\u011b A a B.<\/p>\n\n\n\n<p>Tento p\u0159\u00edklad ukazuje, jak lze dvouv\u00fdb\u011brov\u00fd t-test pou\u017e\u00edt k testov\u00e1n\u00ed hypot\u00e9zy o rozd\u00edlu pr\u016fm\u011br\u016f dvou skupin. T-test je v\u00fdkonn\u00fd a \u0161iroce pou\u017e\u00edvan\u00fd parametrick\u00fd test, kter\u00fd poskytuje robustn\u00ed a spolehliv\u00fd zp\u016fsob testov\u00e1n\u00ed hypot\u00e9z o pr\u016fm\u011bru populace.<\/p>\n\n\n\n<h2>V\u00fdkonn\u00e9 n\u00e1stroje pro anal\u00fdzu dat<\/h2>\n\n\n\n<p>Z\u00e1v\u011brem lze \u0159\u00edci, \u017ee parametrick\u00e9 testy jsou mocn\u00fdm n\u00e1strojem statistick\u00e9 anal\u00fdzy, kter\u00fd poskytuje robustn\u00ed a spolehliv\u00e9 v\u00fdsledky pro \u0161irokou \u0161k\u00e1lu aplikac\u00ed. Je v\u0161ak d\u016fle\u017eit\u00e9 zvolit vhodn\u00fd test na z\u00e1klad\u011b povahy dat a \u0159e\u0161en\u00e9 v\u00fdzkumn\u00e9 ot\u00e1zky. A\u0165 u\u017e pou\u017eijete parametrick\u00e9 nebo neparametrick\u00e9 testy, c\u00edlem statistick\u00e9 anal\u00fdzy je v\u017edy u\u010dinit platn\u00e9 z\u00e1v\u011bry o z\u00e1kladn\u00ed populaci a vyvodit z dat smyslupln\u00e9 z\u00e1v\u011bry.<\/p>\n\n\n\n<h2>Nic nep\u0159ekon\u00e1 bezchybn\u00fd vizu\u00e1l, kter\u00fd p\u0159in\u00e1\u0161\u00ed komplexn\u00ed sd\u011blen\u00ed.<\/h2>\n\n\n\n<p>M\u00e1te pot\u00ed\u017ee se sd\u011blov\u00e1n\u00edm velk\u00e9ho mno\u017estv\u00ed informac\u00ed? Pou\u017eijte infografiky a ilustrace, aby byla va\u0161e pr\u00e1ce srozumiteln\u011bj\u0161\u00ed a p\u0159\u00edstupn\u011bj\u0161\u00ed. Mind the Graph je vynikaj\u00edc\u00ed n\u00e1stroj pro v\u00fdzkumn\u00e9 pracovn\u00edky, kte\u0159\u00ed cht\u011bj\u00ed zefektivnit svou pr\u00e1ci pomoc\u00ed vizu\u00e1ln\u011b atraktivn\u00edch infografik.&nbsp;<\/p>\n\n\n\n<div style=\"height:18px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"600\" height=\"338\" src=\"https:\/\/mindthegraph.com\/blog\/wp-content\/uploads\/2022\/09\/3iezpf5xkd3.gif\" alt=\"\" class=\"wp-image-20197\"\/><\/figure><\/div>\n\n\n<div style=\"height:18px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"is-layout-flex wp-block-buttons\">\n<div class=\"wp-block-button aligncenter\"><a class=\"wp-block-button__link has-background wp-element-button\" href=\"https:\/\/mindthegraph.com\/\" style=\"border-radius:50px;background-color:#dc1866\" target=\"_blank\" rel=\"noreferrer noopener\">Zvy\u0161te sv\u016fj v\u00fdzkum pomoc\u00ed ilustrac\u00ed<\/a><\/div>\n<\/div>\n\n\n\n<div style=\"height:44px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div style=\"height:25px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p><\/p>","protected":false},"excerpt":{"rendered":"<p>Tento \u010dl\u00e1nek v\u00e1m pom\u016f\u017ee pochopit statistick\u00e9 parametrick\u00e9 testy, jejich nej\u010dast\u011bj\u0161\u00ed typy a tak\u00e9 to, kde a kdy je pou\u017e\u00edt.<\/p>","protected":false},"author":4,"featured_media":26646,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[959,28],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v19.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>What are statistics parametric tests and where to apply them?<\/title>\n<meta name=\"description\" content=\"This article will help you 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