{"id":5554,"date":"2025-07-15T13:34:45","date_gmt":"2025-07-15T13:34:45","guid":{"rendered":"https:\/\/functiontranslator.com\/erf-precise\/"},"modified":"2021-02-26T09:54:51","modified_gmt":"2021-02-26T09:54:51","slug":"erf-precise","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/cs\/erf-precise\/","title":{"rendered":"ERF.PRECISE"},"content":{"rendered":"

Funkce ERF.PRECISE<\/code> je d\u016fle\u017eit\u00fdm n\u00e1strojem v Microsoft Excel a Google Sheets, kter\u00fd umo\u017e\u0148uje vypo\u010d\u00edtat hodnotu chybov\u00e9 funkce. Chybov\u00e1 funkce je speci\u00e1ln\u00ed matematick\u00e1 funkce, pou\u017e\u00edvan\u00e1 p\u0159edev\u0161\u00edm ve statistice, fyzice a in\u017een\u00fdrstv\u00ed, a je obvykle aplikov\u00e1na ve v\u00fdpo\u010dtech souvisej\u00edc\u00edch s norm\u00e1ln\u00edm rozd\u011blen\u00edm chyb.<\/p>\n

Detailn\u00ed popis a syntaxe<\/h2>\n

Funkce ERF.PRECISE<\/code> poskytuje hodnotu chybov\u00e9 funkce integrovan\u00e9 od nuly do zadan\u00e9ho \u010d\u00edsla x. Syntaxe funkce v Excelu a Google Sheets je n\u00e1sleduj\u00edc\u00ed:<\/p>\n

ERF.PRECISE(x)<\/code><\/pre>\n
kde x<\/code> je \u010d\u00edslo, pro kter\u00e9 je chybov\u00e1 funkce po\u010d\u00edt\u00e1na.<\/p>\n
P\u0159\u00edklad:<\/p>\n
=ERF.PRECISE(1)<\/code><\/pre>\n
Toto vr\u00e1t\u00ed hodnotu chybov\u00e9 funkce od 0 do 1.<\/p>\n
P\u0159\u00edklady pou\u017eit\u00ed<\/h2>\n
P\u0159\u00edklad 1: V\u00fdpo\u010det pravd\u011bpodobnosti chyby<\/h2>\n
Predstavme si situaci, kdy je t\u0159eba ur\u010dit pravd\u011bpodobnost, \u017ee hodnota m\u011b\u0159en\u00ed se bude nach\u00e1zet v ur\u010dit\u00e9m rozmez\u00ed od pravdiv\u00e9 hodnoty p\u0159i p\u0159edpokladu, \u017ee m\u011b\u0159en\u00ed podl\u00e9h\u00e1 norm\u00e1ln\u00edmu rozd\u011blen\u00ed chyb. Chybov\u00e1 funkce (ERF) je v takov\u00e9m p\u0159\u00edpad\u011b ide\u00e1ln\u00edm \u0159e\u0161en\u00edm.<\/p>\n
P\u0159edpokl\u00e1dejme, \u017ee standardn\u00ed odchylka m\u011b\u0159en\u00ed je 1 a m\u00e1me zjistit pravd\u011bpodobnost, \u017ee chyba le\u017e\u00ed v intervalu -1 a\u017e 1.<\/p>\n
V\u00fdpo\u010det pomoc\u00ed ERF.PRECISE<\/code>:<\/p>\n
=ERF.PRECISE(1\/SQRT(2))<\/code><\/pre>\n
Tento v\u00fdpo\u010det vyu\u017e\u00edv\u00e1 fakt, \u017ee chybov\u00e1 funkce pro interval od -x do x u norm\u00e1ln\u00edho rozd\u011blen\u00ed se standardn\u00ed odchylkou sigma je ERF(x\/(SQRT(2)*sigma)). V p\u0159\u00edpad\u011b, kdy sigma je 1, vych\u00e1z\u00ed v\u00fdraz jako ERF(1\/SQRT(2)).<\/p>\n
P\u0159\u00edklad 2: Porovn\u00e1n\u00ed dat se standardn\u00edm norm\u00e1ln\u00edm rozd\u011blen\u00edm<\/h2>\n
M\u00e1te-li datov\u00fd soubor a pot\u0159ebujete ov\u011b\u0159it, jak dob\u0159e data odpov\u00eddaj\u00ed modelu norm\u00e1ln\u00edho rozd\u011blen\u00ed, m\u016f\u017eete pou\u017e\u00edt chybovou funkci k v\u00fdpo\u010dtu odchylek.<\/p>\n
Chceme zjistit, zda hodnoty v na\u0161ich datech odpov\u00eddaj\u00ed pr\u016fb\u011bhu norm\u00e1ln\u00edho rozd\u011blen\u00ed. K tomu n\u00e1m m\u016f\u017ee pomoci chybov\u00e1 funkce pro odhad kumulativn\u00ed distribu\u010dn\u00ed funkce (CDF).<\/p>\n
Pro hodnotu x = 0.5 v norm\u00e1ln\u00edm rozd\u011blen\u00ed m\u016f\u017eeme vypo\u010d\u00edtat:<\/p>\n
=0.5 * (1 + ERF.PRECISE(0.5 \/ SQRT(2)))<\/code><\/pre>\n
Tato formule p\u0159edstavuje CDF standardn\u00edho norm\u00e1ln\u00edho rozd\u011blen\u00ed a uk\u00e1\u017ee n\u00e1m, jak\u00e1 \u010d\u00e1st datov\u00e9 sady odpov\u00edd\u00e1 hodnot\u00e1m ni\u017e\u0161\u00edm ne\u017e 0.5.<\/p>\n
Funkce ERF.PRECISE<\/code> je siln\u00fdm n\u00e1strojem pro analytick\u00e9 aplikace, kde je t\u0159eba pracovat s norm\u00e1ln\u00edm rozd\u011blen\u00edm nebo s podobn\u00fdmi rozd\u011blen\u00edmi. Pomoc\u00ed t\u00e9to funkce lze prov\u00e1d\u011bt r\u016fzn\u00e9 statistick\u00e9 anal\u00fdzy t\u00fdkaj\u00edc\u00ed se pravd\u011bpodobnosti a modelov\u00e1n\u00ed.<\/p>\n","protected":false},"excerpt":{"rendered":"
Vr\u00e1t\u00ed chybovou funkci<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[288],"tags":[],"class_list":["post-5554","post","type-post","status-publish","format-standard","hentry","category-inzenyrske"],"acf":[],"yoast_head":"\nFunkce ERF.PRECISE v Excelu: jak funguje, primjeri kori\u0161tenja formule<\/title>\n<meta name=\"description\" content=\"Opis funkcije ERF.PRECISE u Excelu i Google tablicama. 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