{"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\/sk\/statistics-parametric-tests\/","title":{"rendered":"\u010co s\u00fa \u0161tatistick\u00e9 parametrick\u00e9 testy a kde ich pou\u017ei\u0165?"},"content":{"rendered":"

\u0160tatistick\u00e9 parametrick\u00e9 testy s\u00fa typom \u0161tatistickej anal\u00fdzy, ktor\u00e1 sa pou\u017e\u00edva na testovanie hypot\u00e9z o popula\u010dnom priemere a rozptyle. Tieto testy s\u00fa zalo\u017een\u00e9 na predpoklade, \u017ee z\u00e1kladn\u00e9 \u00fadaje sa riadia norm\u00e1lnym rozdelen\u00edm a maj\u00fa nieko\u013eko k\u013e\u00fa\u010dov\u00fdch vlastnost\u00ed vr\u00e1tane robustnosti, spo\u013eahlivosti a schopnosti odhali\u0165 jemn\u00e9 rozdiely v \u00fadajoch.<\/p>\n\n\n\n

Parametrick\u00e9 testy sa \u010dasto pou\u017e\u00edvaj\u00fa v r\u00f4znych aplik\u00e1ci\u00e1ch vr\u00e1tane lek\u00e1rskeho v\u00fdskumu, prieskumu trhu a soci\u00e1lnych vied. V t\u00fdchto oblastiach m\u00f4\u017eu v\u00fdskumn\u00edci pou\u017e\u00edva\u0165 parametrick\u00e9 testy na ur\u010denie v\u00fdznamnosti zmien popula\u010dn\u00fdch stredn\u00fdch hodn\u00f4t alebo rozptylov alebo na ur\u010denie, \u010di ur\u010dit\u00e1 lie\u010dba alebo intervencia mala v\u00fdznamn\u00fd vplyv na \u00fadaje.<\/p>\n\n\n\n

Najbe\u017enej\u0161ie typy \u0161tatistick\u00fdch parametrick\u00fdch testov<\/h2>\n\n\n\n

T-test <\/h3>\n\n\n\n

Jedn\u00fdm z naj\u010dastej\u0161ie pou\u017e\u00edvan\u00fdch parametrick\u00fdch testov je t-test, ktor\u00fd sa pou\u017e\u00edva na porovnanie priemerov dvoch popul\u00e1ci\u00ed. . t-test<\/a> predpoklad\u00e1, \u017ee z\u00e1kladn\u00e9 \u00fadaje s\u00fa norm\u00e1lne rozdelen\u00e9 a \u017ee rozptyly oboch popul\u00e1ci\u00ed s\u00fa rovnak\u00e9. Testovacia \u0161tatistika sa vypo\u010d\u00edta pomocou rozdielu stredn\u00fdch hodn\u00f4t oboch popul\u00e1ci\u00ed vydelen\u00e9ho \u0161tandardnou chybou rozdielu.<\/p>\n\n\n\n

Test ANOVA<\/h3>\n\n\n\n

\u010eal\u0161\u00edm be\u017en\u00fdm parametrick\u00fdm testom je anal\u00fdza rozptylu (ANOVA), ktor\u00e1 sa pou\u017e\u00edva na porovnanie priemerov troch alebo viacer\u00fdch popul\u00e1ci\u00ed. . Test ANOVA<\/a> predpoklad\u00e1, \u017ee z\u00e1kladn\u00e9 \u00fadaje s\u00fa norm\u00e1lne rozdelen\u00e9 a \u017ee rozptyly v\u0161etk\u00fdch popul\u00e1ci\u00ed s\u00fa rovnak\u00e9. Testovacia \u0161tatistika sa vypo\u010d\u00edta pomocou pomeru rozptylu medzi popul\u00e1ciami a rozptylu v r\u00e1mci popul\u00e1ci\u00ed.<\/p>\n\n\n\n

In\u00e9 parametrick\u00e9 testy<\/h3>\n\n\n\n

Okrem t-testu a ANOVA existuje nieko\u013eko \u010fal\u0161\u00edch \u0161tatistick\u00fdch parametrick\u00fdch testov, ktor\u00e9 sa pou\u017e\u00edvaj\u00fa v r\u00f4znych aplik\u00e1ci\u00e1ch, vr\u00e1tane p\u00e1rov\u00e9ho t-testu, jednocestnej ANOVA, dvojcestnej ANOVA, ANOVA s opakovan\u00fdmi meraniami a ANOVA so zmie\u0161an\u00fdm dizajnom. Ka\u017ed\u00fd z t\u00fdchto testov m\u00e1 in\u00e9 predpoklady a testovacie \u0161tatistiky a pou\u017e\u00edva sa na rie\u0161enie r\u00f4znych typov v\u00fdskumn\u00fdch ot\u00e1zok.<\/p>\n\n\n\n

Jednou z hlavn\u00fdch v\u00fdhod parametrick\u00fdch testov je ich robustnos\u0165, \u010do znamen\u00e1, \u017ee nie s\u00fa citliv\u00e9 na tvar rozdelenia z\u00e1kladn\u00fdch \u00fadajov. Pokia\u013e s\u00fa \u00fadaje pribli\u017ene norm\u00e1lne rozdelen\u00e9, parametrick\u00e9 testy m\u00f4\u017eu poskytn\u00fa\u0165 presn\u00e9 v\u00fdsledky.<\/p>\n\n\n\n

Vytv\u00e1rajte \u00fa\u017easn\u00e9 infografiky za p\u00e1r min\u00fat<\/h2>\n\n\n\n

Mind the Graph je dokonal\u00fd n\u00e1stroj na zhroma\u017e\u010fovanie \u00fadajov a ich vizu\u00e1lnu prezent\u00e1ciu. Pou\u017e\u00edvajte grafy, tabu\u013eky a vedeck\u00e9 ilustr\u00e1cie, aby ste \u013eah\u0161ie pochopili svoju pr\u00e1cu.<\/p>\n\n\n\n

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Vytvorenie mojej prvej infografiky<\/a><\/div>\n<\/div>\n\n\n\n
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Spo\u013eahlivos\u0165 \u0161tatistick\u00fdch parametrick\u00fdch testov<\/h2>\n\n\n\n

\u010eal\u0161ou v\u00fdhodou parametrick\u00fdch testov je ich spo\u013eahlivos\u0165, preto\u017ee s\u00fa zalo\u017een\u00e9 na dobre zaveden\u00fdch \u0161tatistick\u00fdch met\u00f3dach a predpokladoch. V\u00fdsledky parametrick\u00fdch testov s\u00fa vysoko opakovate\u013en\u00e9 a mo\u017eno ich pou\u017ei\u0165 na platn\u00e9 z\u00e1very o z\u00e1kladnej popul\u00e1cii.<\/p>\n\n\n\n

Napriek mnoh\u00fdm v\u00fdhod\u00e1m nie s\u00fa parametrick\u00e9 testy v\u017edy najlep\u0161ou vo\u013ebou pre ka\u017ed\u00fd s\u00fabor \u00fadajov. V niektor\u00fdch pr\u00edpadoch nemusia by\u0165 z\u00e1kladn\u00e9 \u00fadaje norm\u00e1lne rozdelen\u00e9 alebo rozptyly popul\u00e1ci\u00ed nemusia by\u0165 rovnak\u00e9. V t\u00fdchto pr\u00edpadoch m\u00f4\u017eu by\u0165 vhodnej\u0161ie neparametrick\u00e9 testy.<\/p>\n\n\n\n

Parametrick\u00e9 testy vs. neparametrick\u00e9 testy<\/h2>\n\n\n\n

Neparametrick\u00e9 testy s\u00fa typom \u0161tatistickej anal\u00fdzy, ktor\u00e1 nevytv\u00e1ra \u017eiadne predpoklady o z\u00e1kladnom rozdelen\u00ed \u00fadajov. Namiesto toho sa pri ur\u010dovan\u00ed v\u00fdznamnosti v\u00fdsledkov spoliehaj\u00fa na poradie \u00fadajov. Medzi be\u017en\u00e9 neparametrick\u00e9 testy patria napr. Wilcoxonov s\u00fa\u010dtov\u00fd test<\/a>,. Kruskalov-Wallisov test<\/a>a Mannov-Whitneyho test<\/a>.<\/p>\n\n\n\n

Pri v\u00fdbere medzi parametrick\u00fdmi a neparametrick\u00fdmi testami je d\u00f4le\u017eit\u00e9 zv\u00e1\u017ei\u0165 povahu \u00fadajov a rie\u0161en\u00fa v\u00fdskumn\u00fa ot\u00e1zku. Vo v\u0161eobecnosti s\u00fa parametrick\u00e9 testy vhodn\u00e9 pre \u00fadaje, ktor\u00e9 s\u00fa norm\u00e1lne rozdelen\u00e9 a maj\u00fa rovnak\u00e9 rozptyly, zatia\u013e \u010do neparametrick\u00e9 testy s\u00fa vhodn\u00e9 pre \u00fadaje, ktor\u00e9 nesp\u013a\u0148aj\u00fa tieto predpoklady.<\/p>\n\n\n\n

Pr\u00edklad \u0161tatistick\u00e9ho parametrick\u00e9ho testu<\/h2>\n\n\n\n

Predpokladajme, \u017ee v\u00fdskumn\u00edk m\u00e1 z\u00e1ujem zisti\u0165, \u010di existuje rozdiel v priemernej v\u00fd\u0161ke dvoch skup\u00edn det\u00ed - skupiny A a skupiny B. Za t\u00fdmto \u00fa\u010delom n\u00e1hodne vyberie 20 det\u00ed z ka\u017edej skupiny a zmeria ich v\u00fd\u0161ku.<\/p>\n\n\n\n

V\u00fdskumn\u00edk chce zisti\u0165, \u010di sa priemern\u00e1 v\u00fd\u0161ka det\u00ed v skupine A l\u00ed\u0161i od priemernej v\u00fd\u0161ky det\u00ed v skupine B. Na overenie tejto hypot\u00e9zy m\u00f4\u017ee v\u00fdskumn\u00edk pou\u017ei\u0165 dvojv\u00fdberov\u00fd t-test. T-test predpoklad\u00e1, \u017ee z\u00e1kladn\u00e9 \u00fadaje s\u00fa norm\u00e1lne rozdelen\u00e9 a \u017ee rozptyly oboch skup\u00edn s\u00fa rovnak\u00e9.<\/p>\n\n\n\n

V\u00fdskumn\u00edk vypo\u010d\u00edta priemern\u00fa v\u00fd\u0161ku pre ka\u017ed\u00fa skupinu a zist\u00ed, \u017ee priemern\u00e1 v\u00fd\u0161ka skupiny A je 150 cm a priemern\u00e1 v\u00fd\u0161ka skupiny B je 155 cm. Potom v\u00fdskumn\u00edk vypo\u010d\u00edta \u0161tandardn\u00fa odch\u00fdlku pre ka\u017ed\u00fa skupinu a zist\u00ed, \u017ee \u0161tandardn\u00e1 odch\u00fdlka pre skupinu A je 5 cm a \u0161tandardn\u00e1 odch\u00fdlka pre skupinu B je 4 cm.<\/p>\n\n\n\n

Potom v\u00fdskumn\u00edk vypo\u010d\u00edta t-\u0161tatistiku pomocou rozdielu priemerov oboch skup\u00edn vydelen\u00e9ho \u0161tandardnou chybou rozdielu. Ak je t-\u0161tatistika v\u00e4\u010d\u0161ia ako kritick\u00e1 hodnota ur\u010den\u00e1 hladinou v\u00fdznamnosti a stup\u0148ami vo\u013enosti, v\u00fdskumn\u00edk m\u00f4\u017ee kon\u0161tatova\u0165, \u017ee existuje v\u00fdznamn\u00fd rozdiel v priemernej v\u00fd\u0161ke det\u00ed v skupine A a skupine B.<\/p>\n\n\n\n

Tento pr\u00edklad demon\u0161truje, ako mo\u017eno pou\u017ei\u0165 dvojv\u00fdberov\u00fd t-test na testovanie hypot\u00e9zy o rozdiele priemerov dvoch skup\u00edn. T-test je v\u00fdkonn\u00fd a \u0161iroko pou\u017e\u00edvan\u00fd parametrick\u00fd test, ktor\u00fd poskytuje robustn\u00fd a spo\u013eahliv\u00fd sp\u00f4sob testovania hypot\u00e9z o priemere popul\u00e1cie.<\/p>\n\n\n\n

V\u00fdkonn\u00e9 n\u00e1stroje na anal\u00fdzu \u00fadajov<\/h2>\n\n\n\n

Na z\u00e1ver mo\u017eno kon\u0161tatova\u0165, \u017ee parametrick\u00e9 testy s\u00fa \u00fa\u010dinn\u00fdm n\u00e1strojom \u0161tatistickej anal\u00fdzy, ktor\u00fd poskytuje robustn\u00e9 a spo\u013eahliv\u00e9 v\u00fdsledky pre \u0161irok\u00fa \u0161k\u00e1lu aplik\u00e1ci\u00ed. Je v\u0161ak d\u00f4le\u017eit\u00e9 vybra\u0165 vhodn\u00fd test na z\u00e1klade povahy \u00fadajov a rie\u0161enej v\u00fdskumnej ot\u00e1zky. Bez oh\u013eadu na to, \u010di sa pou\u017e\u00edvaj\u00fa parametrick\u00e9 alebo neparametrick\u00e9 testy, cie\u013eom \u0161tatistickej anal\u00fdzy je v\u017edy urobi\u0165 platn\u00e9 z\u00e1very o z\u00e1kladnej popul\u00e1cii a vyvodi\u0165 z \u00fadajov zmyslupln\u00e9 z\u00e1very.<\/p>\n\n\n\n

Ni\u010d neprekon\u00e1 bezchybn\u00fd vizu\u00e1l, ktor\u00fd prin\u00e1\u0161a komplexn\u00e9 posolstvo<\/h2>\n\n\n\n

M\u00e1te probl\u00e9my s odovzd\u00e1van\u00edm ve\u013ek\u00e9ho mno\u017estva inform\u00e1ci\u00ed? Pou\u017eite infografiky a ilustr\u00e1cie, aby bola va\u0161a pr\u00e1ca zrozumite\u013enej\u0161ia a pr\u00edstupnej\u0161ia. Mind the Graph je vynikaj\u00faci n\u00e1stroj pre v\u00fdskumn\u00edkov, ktor\u00ed chc\u00fa zefekt\u00edvni\u0165 svoju pr\u00e1cu pomocou vizu\u00e1lne atrakt\u00edvnych infografik. <\/p>\n\n\n\n

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Zv\u00fd\u0161te svoj v\u00fdskum pomocou ilustr\u00e1ci\u00ed<\/a><\/div>\n<\/div>\n\n\n\n
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<\/p>","protected":false},"excerpt":{"rendered":"

Tento \u010dl\u00e1nok v\u00e1m pom\u00f4\u017ee pochopi\u0165 \u0161tatistick\u00e9 parametrick\u00e9 testy, ich najbe\u017enej\u0161ie typy a tie\u017e to, kde a kedy ich pou\u017ei\u0165.<\/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":"\nWhat are statistics parametric tests and where to apply them?<\/title>\n<meta name=\"description\" content=\"This article will help you understand statistics parametric tests, their most common types, and also where and when to apply them.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mindthegraph.com\/blog\/sk\/statistics-parametric-tests\/\" \/>\n<meta property=\"og:locale\" content=\"sk_SK\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta 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He has a Ph.D. and solid scientific background in Psychopharmacology and experience as a Guest Researcher at the Max Planck Institute of Psychiatry (Germany) and Researcher in D'Or Institute for Research and Education (IDOR, Brazil). Fabricio holds over 2500 citations in Google Scholar. He has 10 years of experience in small innovative businesses, with relevant experience in product design and innovation management. 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