From 4a996fcca131b630efc5394bd68e5b713e0ffa46 Mon Sep 17 00:00:00 2001 From: Jakub Adamski Date: Sun, 4 Apr 2021 14:14:06 +0200 Subject: [PATCH] zajecia-3 --- README.md | 4 + zajecia2/.RData | Bin 3041 -> 9933 bytes zajecia2/.Rhistory | 518 ++++++++++++++++++++++++++++++++++++++++- zajecia3/.RData | Bin 0 -> 5146 bytes zajecia3/.Rhistory | 249 ++++++++++++++++++++ zajecia3/README.md | 31 +++ zajecia3/Zajęcia3.pdf | Bin 0 -> 1532843 bytes zajecia3/zadania.R | 107 +++++++++ 8 files changed, 902 insertions(+), 7 deletions(-) create mode 100644 zajecia3/.RData create mode 100644 zajecia3/README.md create mode 100644 zajecia3/Zajęcia3.pdf create mode 100644 zajecia3/zadania.R diff --git a/README.md b/README.md index 8d9410b..4df8f61 100644 --- a/README.md +++ b/README.md @@ -1,3 +1,7 @@ # Ćwiczenia statystyka Zadania w RStudio. + +## Estymator +Statystyka służąca do szacowania wartości parametru rozkładu. +Celem zastosowania estymatora jest znalezienie parametru rozkładu cechy w populacji. 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zyDev9>bull`H+31=(oOIb(hs1r#p*1bkufE4P-w8=ZIBu{8SNI&%bD=lYR4!euUND zIR|pwCo9nGHLJ_9r+YDNMb^0)ep9y^TlK6(W0E$g;i^~s4?cRRbiiA`V6Z4M0-XwL zhOTp8Q#@NXs%E6cwa!3qrvaJ6VAA;O0q`OjGrp?(PaeL=Rph;9RnadU>x-_L zT=Mi7iOW~hu@dpHXg$^h(-rc#B9cvQxNzeGdgm2`^DmQB)p+ zpy}?CE{Vz+pD)B5Jw_I<1Qs$lmXBNld{?AAA+gw|97R4Pr!sz+E zJ;l$KMhD!80VW?ArD=_BmT%JS6%RD@YTl;gb7*s`J&@+YSe}h+Z)RC;WP4q(iCu=?4Qz jMTYoy>o^vV5XD1XJ+0lbrMY2S|9k%hWE!YHmk$5{)Ugmg diff --git a/zajecia2/.Rhistory b/zajecia2/.Rhistory index 5ad4e5e..82b528f 100644 --- a/zajecia2/.Rhistory +++ b/zajecia2/.Rhistory @@ -1,8 +1,512 @@ -moja_lista <- list(c("Jakub", "Adamski"), pi) -moja_lista <- list(c("Jakub", "Adamski"), pi) -print(moja_lista) -pierwiastek <- function(x){ -return(sqrt(x)) +x <- c(1,2,3,4,5,6,7) +minmax <- function(x){ +if (length(x) < 3){ +return("za krótki argument") } -moja_lista <- list(c("Jakub", "Adamski"), pi, pierwiastek) -print(moja_lista) +liczby <- c() +pom <- x +for(licznik in 1:3){ +mini <- min(pom) +pom <- c(pom[1:match(mini, pom)-1], pom[(match(mini, pom)+1):length(pom)]) +liczby <- c(liczby, mini) +} +pom <- x +for(licznik in 1:3){ +maxi <- max(pom) +pom <- c(pom[1:match(maxi, pom)], pom[(match(maxi, pom)+1):length(pom)]) +print(pom) +liczby <- c(liczby, maxi) +} +return(liczby) +} +print(minmax(x)) +# ZAD 5 +x <- c(1,2,3,4,5,6,7) +minmax <- function(x){ +if (length(x) < 3){ +return("za krótki argument") +} +liczby <- c() +pom <- x +for(licznik in 1:3){ +mini <- min(pom) +pom <- c(pom[1:match(mini, pom)-1], pom[(match(mini, pom)+1):length(pom)]) +liczby <- c(liczby, mini) +} +pom <- x +for(licznik in 1:3){ +maxi <- max(pom) +pom <- c(pom[1:match(maxi, pom)-2], pom[(match(maxi, pom)):length(pom)]) +print(pom) +liczby <- c(liczby, maxi) +} +return(liczby) +} +print(minmax(x)) +# ZAD 5 +x <- c(1,2,3,4,5,6,7) +minmax <- function(x){ +if (length(x) < 3){ +return("za krótki argument") +} +liczby <- c() +pom <- x +for(licznik in 1:3){ +mini <- min(pom) +pom <- c(pom[1:match(mini, pom)-1], pom[(match(mini, pom)+1):length(pom)]) +liczby <- c(liczby, mini) +} +pom <- x +for(licznik in 1:3){ +maxi <- max(pom) +pom <- c(pom[1:match(maxi, pom)-1], pom[(match(maxi, pom)+1):length(pom)]) +print(pom) +liczby <- c(liczby, maxi) +} +return(liczby) +} +print(minmax(x)) +# ZAD 5 +x <- c(1,2,3,4,5,6,7) +minmax <- function(x){ +if (length(x) < 3){ +return("za krótki argument") +} +liczby <- c() +pom <- x +for(licznik in 1:3){ +mini <- min(pom) +pom <- c(pom[1:match(mini, pom)-1], pom[(match(mini, pom)+1):length(pom)]) +liczby <- c(liczby, mini) +} +pom <- x +for(licznik in 1:3){ +maxi <- max(pom) +gorne <- (match(maxi, pom)+1) +if (gorne > length(pom)){ +gorne <- length(pom) +} +pom <- c(pom[1:match(maxi, pom)-1], pom[gorne:length(pom)]) +print(pom) +liczby <- c(liczby, maxi) +} +return(liczby) +} +print(minmax(x)) +# ZAD 5 +x <- c(1,2,3,4,5,6,7) +minmax <- function(x){ +if (length(x) < 3){ +return("za krótki argument") +} +liczby <- c() +pom <- x +for(licznik in 1:3){ +mini <- min(pom) +pom <- c(pom[1:match(mini, pom)-1], pom[(match(mini, pom)+1):length(pom)]) +liczby <- c(liczby, mini) +} +pom <- x +for(licznik in 1:3){ +maxi <- max(pom) +gorne <- (match(maxi, pom)+1) +if (gorne > length(pom)){ +gorne <- length(pom) +} +pom <- c(pom[1:match(maxi, pom)-1], pom[gorne:length(pom)]) +print(pom[1:match(maxi, pom)-1]) +liczby <- c(liczby, maxi) +} +return(liczby) +} +print(minmax(x)) +# ZAD 5 +x <- c(1,2,3,4,5,6,7) +minmax <- function(x){ +if (length(x) < 3){ +return("za krótki argument") +} +liczby <- c() +pom <- x +for(licznik in 1:3){ +mini <- min(pom) +pom <- c(pom[1:match(mini, pom)-1], pom[(match(mini, pom)+1):length(pom)]) +liczby <- c(liczby, mini) +} +pom <- x +for(licznik in 1:3){ +maxi <- max(pom) +pom <- c(pom[1:match(maxi, pom)-1], pom[(match(maxi, pom)+1):length(pom)]) +print(pom[(match(maxi, pom)+1):length(pom)]) +liczby <- c(liczby, maxi) +} +return(liczby) +} +print(minmax(x)) +# ZAD 5 +x <- c(1,2,3,4,5,6,7) +minmax <- function(x){ +if (length(x) < 3){ +return("za krótki argument") +} +liczby <- c() +pom <- x +for(licznik in 1:3){ +mini <- min(pom) +pom <- c(pom[1:match(mini, pom)-1], pom[(match(mini, pom)+1):length(pom)]) +liczby <- c(liczby, mini) +} +pom <- x +for(licznik in 1:3){ +maxi <- max(pom) +pom <- c(pom[1:match(maxi, pom)-1], pom[(match(maxi, pom)+1):length(pom)]) +print(pom[(match(maxi, pom)):length(pom)]) +liczby <- c(liczby, maxi) +} +return(liczby) +} +print(minmax(x)) +# ZAD 5 +x <- c(1,2,3,4,5,6,7) +minmax <- function(x){ +if (length(x) < 3){ +return("za krótki argument") +} +liczby <- c() +pom <- x +for(licznik in 1:3){ +mini <- min(pom) +pom <- c(pom[1:match(mini, pom)-1], pom[(match(mini, pom)+1):length(pom)]) +liczby <- c(liczby, mini) +} +pom <- x +for(licznik in 1:3){ +maxi <- max(pom) +pom <- c(pom[1:match(maxi, pom)-1], pom[(match(maxi, pom)+1):length(pom)]) +print(pom[(match(maxi, pom)+1):length(pom)]) +liczby <- c(liczby, maxi) +} +return(liczby) +} +print(minmax(x)) +# ZAD 5 +x <- c(1,2,3,4,5,6,7) +minmax <- function(x){ +if (length(x) < 3){ +return("za krótki argument") +} +liczby <- c() +pom <- x +for(licznik in 1:3){ +mini <- min(pom) +pom <- c(pom[1:match(mini, pom)-1], pom[(match(mini, pom)+1):length(pom)]) +liczby <- c(liczby, mini) +} +pom <- x +for(licznik in 1:3){ +maxi <- max(pom) +pom <- c(pom[1:match(maxi, pom)-1], pom[(match(maxi, pom)+1):length(pom)]) +print(pom[(match(maxi, pom)+1):length(pom)+1]) +liczby <- c(liczby, maxi) +} +return(liczby) +} +print(minmax(x)) +# ZAD 5 +x <- c(1,2,3,4,5,6,7) +minmax <- function(x){ +if (length(x) < 3){ +return("za krótki argument") +} +liczby <- c() +pom <- x +for(licznik in 1:3){ +mini <- min(pom) +pom <- c(pom[1:match(mini, pom)-1], pom[(match(mini, pom)+1):length(pom)]) +liczby <- c(liczby, mini) +} +pom <- x +for(licznik in 1:3){ +maxi <- max(pom) +pom <- c(pom[1:match(maxi, pom)-1], pom[(match(maxi, pom)+1):length(pom)+1]) +liczby <- c(liczby, maxi) +} +return(liczby) +} +print(minmax(x)) +# ZAD 5 +x <- c(1,2,3,4,5,6,7) +minmax <- function(x){ +if (length(x) < 3){ +return("za krótki argument") +} +liczby <- c() +pom <- x +for(licznik in 1:3){ +mini <- min(pom) +pom <- c(pom[1:match(mini, pom)-1], pom[(match(mini, pom)+1):length(pom)]) +liczby <- c(liczby, mini) +} +pom <- x +for(licznik in 1:3){ +maxi <- max(pom) +pom <- c(pom[1:match(maxi, pom)-1], pom[(match(maxi, pom)+1):length(pom)+1]) +print(pom) +liczby <- c(liczby, maxi) +} +return(liczby) +} +print(minmax(x)) +# ZAD 5 +x <- c(1,2,3,4,5,6,7) +minmax <- function(x){ +if (length(x) < 3){ +return("za krótki argument") +} +liczby <- c() +pom <- x +for(licznik in 1:3){ +mini <- min(pom) +pom <- c(pom[1:match(mini, pom)-1], pom[(match(mini, pom)+1):length(pom)]) +liczby <- c(liczby, mini) +} +pom <- x +for(licznik in 1:3){ +maxi <- max(pom) +pom <- c(pom[1:match(maxi, pom)-1], pom[(match(maxi, pom)+1):length(pom)+1]) +print(pom[x != NA]) +liczby <- c(liczby, maxi) +} +return(liczby) +} +print(minmax(x)) +# ZAD 5 +x <- c(1,2,3,4,5,6,7) +minmax <- function(x){ +if (length(x) < 3){ +return("za krótki argument") +} +liczby <- c() +pom <- x +for(licznik in 1:3){ +mini <- min(pom) +pom <- c(pom[1:match(mini, pom)-1], pom[(match(mini, pom)+1):length(pom)]) +liczby <- c(liczby, mini) +} +pom <- x +for(licznik in 1:3){ +maxi <- max(pom) +pom <- c(pom[1:match(maxi, pom)-1], pom[(match(maxi, pom)+1):length(pom)+1]) +print(!is.na(x)) +liczby <- c(liczby, maxi) +} +return(liczby) +} +print(minmax(x)) +# ZAD 5 +x <- c(1,2,3,4,5,6,7) +minmax <- function(x){ +if (length(x) < 3){ +return("za krótki argument") +} +liczby <- c() +pom <- x +for(licznik in 1:3){ +mini <- min(pom) +pom <- c(pom[1:match(mini, pom)-1], pom[(match(mini, pom)+1):length(pom)]) +liczby <- c(liczby, mini) +} +pom <- x +for(licznik in 1:3){ +maxi <- max(pom) +pom <- c(pom[1:match(maxi, pom)-1], pom[(match(maxi, pom)+1):length(pom)+1]) +print(pom[!is.na(x)]) +liczby <- c(liczby, maxi) +} +return(liczby) +} +print(minmax(x)) +# ZAD 5 +x <- c(1,2,3,4,5,6,7) +minmax <- function(x){ +if (length(x) < 3){ +return("za krótki argument") +} +liczby <- c() +pom <- x +for(licznik in 1:3){ +mini <- min(pom) +pom <- c(pom[1:match(mini, pom)-1], pom[(match(mini, pom)+1):length(pom)]) +liczby <- c(liczby, mini) +} +pom <- x +for(licznik in 1:3){ +maxi <- max(pom) +pom <- c(pom[1:match(maxi, pom)-1], pom[(match(maxi, pom)+1):length(pom)+1]) +print(pom[!is.na(pom)]) +liczby <- c(liczby, maxi) +} +return(liczby) +} +print(minmax(x)) +# ZAD 5 +x <- c(1,2,3,4,5,6,7) +minmax <- function(x){ +if (length(x) < 3){ +return("za krótki argument") +} +liczby <- c() +pom <- x +for(licznik in 1:3){ +mini <- min(pom) +pom <- c(pom[1:match(mini, pom)-1], pom[(match(mini, pom)+1):length(pom)]) +liczby <- c(liczby, mini) +} +pom <- x +for(licznik in 1:3){ +maxi <- max(pom) +pom <- c(pom[1:match(maxi, pom)-1], pom[(match(maxi, pom)+1):length(pom)+1]) +pom <- pom[!is.na(pom)] +liczby <- c(liczby, maxi) +} +return(liczby) +} +print(minmax(x)) +# ZAD 5 +x <- c(1,2,3,4,7,6,7) +minmax <- function(x){ +if (length(x) < 3){ +return("za krótki argument") +} +liczby <- c() +pom <- x +for(licznik in 1:3){ +mini <- min(pom) +pom <- c(pom[1:match(mini, pom)-1], pom[(match(mini, pom)+1):length(pom)]) +liczby <- c(liczby, mini) +} +pom <- x +for(licznik in 1:3){ +maxi <- max(pom) +pom <- c(pom[1:match(maxi, pom)-1], pom[(match(maxi, pom)+1):length(pom)+1]) +pom <- pom[!is.na(pom)] +liczby <- c(liczby, maxi) +} +return(liczby) +} +print(minmax(x)) +# ZAD 5 +x <- c(1,2,3,4,5,6,7) +minmax <- function(x){ +if (length(x) < 3){ +return("za krótki argument") +} +liczby <- c() +pom <- x +for(licznik in 1:3){ +mini <- min(pom) +pom <- c(pom[1:match(mini, pom)-1], pom[(match(mini, pom)+1):length(pom)]) +liczby <- c(liczby, mini) +} +pom <- x +for(licznik in 1:3){ +maxi <- max(pom) +pom <- c(pom[1:match(maxi, pom)-1], pom[(match(maxi, pom)):length(pom)-1]) +pom <- pom[!is.na(pom)] +liczby <- c(liczby, maxi) +} +return(liczby) +} +print(minmax(x)) +# ZAD 5 +x <- c(1,2,3,4,5,6,7) +minmax <- function(x){ +if (length(x) < 3){ +return("za krótki argument") +} +liczby <- c() +pom <- x +for(licznik in 1:3){ +mini <- min(pom) +pom <- c(pom[1:match(mini, pom)-1], pom[(match(mini, pom)+1):length(pom)]) +liczby <- c(liczby, mini) +} +pom <- x +for(licznik in 1:3){ +maxi <- max(pom) +pom <- c(pom[1:match(maxi, pom)-1], pom[(match(maxi, pom)+1):length(pom)+1]) +pom <- pom[!is.na(pom)] +liczby <- c(liczby, maxi) +} +return(liczby) +} +print(minmax(x)) +# ZAD 5 +x <- c(1,2,3,4,5,1,7) +minmax <- function(x){ +if (length(x) < 3){ +return("za krótki argument") +} +liczby <- c() +pom <- x +for(licznik in 1:3){ +mini <- min(pom) +pom <- c(pom[1:match(mini, pom)-1], pom[(match(mini, pom)+1):length(pom)]) +liczby <- c(liczby, mini) +} +pom <- x +for(licznik in 1:3){ +maxi <- max(pom) +pom <- c(pom[1:match(maxi, pom)-1], pom[(match(maxi, pom)+1):length(pom)+1]) +pom <- pom[!is.na(pom)] +liczby <- c(liczby, maxi) +} +return(liczby) +} +print(minmax(x)) +# ZAD 5 +x <- c(1,2,3,8,5,6,7) +minmax <- function(x){ +if (length(x) < 3){ +return("za krótki argument") +} +liczby <- c() +pom <- x +for(licznik in 1:3){ +mini <- min(pom) +pom <- c(pom[1:match(mini, pom)-1], pom[(match(mini, pom)+1):length(pom)]) +liczby <- c(liczby, mini) +} +pom <- x +for(licznik in 1:3){ +maxi <- max(pom) +pom <- c(pom[1:match(maxi, pom)-1], pom[(match(maxi, pom)+1):length(pom)+1]) +pom <- pom[!is.na(pom)] +liczby <- c(liczby, maxi) +} +return(liczby) +} +print(minmax(x)) +# ZAD 5 +x <- c(1,2,3,7,5,6,7) +minmax <- function(x){ +if (length(x) < 3){ +return("za krótki argument") +} +liczby <- c() +pom <- x +for(licznik in 1:3){ +mini <- min(pom) +pom <- c(pom[1:match(mini, pom)-1], pom[(match(mini, pom)+1):length(pom)]) +liczby <- c(liczby, mini) +} +pom <- x +for(licznik in 1:3){ +maxi <- max(pom) +pom <- c(pom[1:match(maxi, pom)-1], pom[(match(maxi, pom)+1):length(pom)+1]) +pom <- pom[!is.na(pom)] +liczby <- c(liczby, maxi) +} +return(liczby) +} +print(minmax(x)) diff --git a/zajecia3/.RData 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ziE%|Gd=6A{q%60jyJc{69>p#^I*~$1q43ye1XI+!?-6(W0Ta1C7*#f7yxkd*7^uVi zjg2rC9Ay7SC2+P8kD;;o+;ZSy@yWzVP!ZcglOGl;AtTD%jw3?;Ijkz zlbz(&FuAWouDL(t)p_dcu_e~<%V7cn4Yh1P1F{ftGOw(bt1WE1dzwS+4m4OlbC8`O vYBt5Vl9)n75@Av)=Q|WRVz&Hp1?xN+RU^Q_w^rq`k9d17e{jOYF);oQ%f=F@ literal 0 HcmV?d00001 diff --git a/zajecia3/.Rhistory b/zajecia3/.Rhistory index e69de29..075685f 100644 --- a/zajecia3/.Rhistory +++ b/zajecia3/.Rhistory @@ -0,0 +1,249 @@ +ankieta <- read.table("http://ls.home.amu.edu.pl/data_sets/ankieta.txt", header = TRUE) +View(ankieta) +View(ankieta) +# ZAD 1 +ankieta <- read.table("http://ls.home.amu.edu.pl/data_sets/ankieta.txt", header = TRUE) +empiryczny <- data.frame(cbind(liczebnosc = table(ankieta), procent = prop.table(table(ankieta)))) +# ZAD 1 +ankieta <- read.table("http://ls.home.amu.edu.pl/data_sets/ankieta.txt", header = TRUE) +empiryczny <- data.frame(cbind(liczebnosc = table(ankieta), procent = prop.table(table(ankieta)))) +print(empiryczny) +# ZAD 1 +ankieta <- read.table("http://ls.home.amu.edu.pl/data_sets/ankieta.txt", header = TRUE) +empiryczny <- data.frame(cbind(liczebnosc = table(ankieta$wynik), +procent = prop.table(table(ankieta$wynik)))) +print(empiryczny) +# ZAD 1 +ankieta <- read.table("http://ls.home.amu.edu.pl/data_sets/ankieta.txt", header = TRUE) +tylko_pods <- ankieta[ankieta$szkola == p] +empiryczny <- data.frame(cbind(liczebnosc = table(tylko_pods$wynik), +procent = prop.table(table(tylko_pods$wynik)))) +print(empiryczny) +# ZAD 1 +ankieta <- read.table("http://ls.home.amu.edu.pl/data_sets/ankieta.txt", header = TRUE) +tylko_pods <- ankieta[ankieta$szkola == "p"] +empiryczny <- data.frame(cbind(liczebnosc = table(tylko_pods$wynik), +procent = prop.table(table(tylko_pods$wynik)))) +print(empiryczny) +# ZAD 1 +ankieta <- read.table("http://ls.home.amu.edu.pl/data_sets/ankieta.txt", header = TRUE) +tylko_pods <- ankieta[ankieta$szkola == "p", ] +empiryczny <- data.frame(cbind(liczebnosc = table(tylko_pods$wynik), +procent = prop.table(table(tylko_pods$wynik)))) +print(empiryczny) +# ZAD 1 +ankieta <- read.table("http://ls.home.amu.edu.pl/data_sets/ankieta.txt", header = TRUE) +tylko_pods <- ankieta[ankieta$szkola == "p", ] +empiryczny <- data.frame(cbind(liczebnosc = table(tylko_pods$wynik), +procent = prop.table(table(tylko_pods$wynik)))) +print(empiryczny) +barplot(table(ankieta)) +# ZAD 1 +ankieta <- read.table("http://ls.home.amu.edu.pl/data_sets/ankieta.txt", header = TRUE) +empiryczny <- data.frame(cbind(liczebnosc = table(ankieta$wynik), +procent = prop.table(table(ankieta$wynik)))) +tylko_pods <- ankieta[ankieta$szkola == "p", ] +empiryczny_pods <- data.frame(cbind(liczebnosc = table(tylko_pods$wynik), +procent = prop.table(table(tylko_pods$wynik)))) +print(empiryczny_pods) +barplot(empiryczny, +xLab = "Odpowiedzi", ylab = "Odpowiedzi", +main = "Rozkład empiryczny zmiennej wynik") +# ZAD 1 +ankieta <- read.table("http://ls.home.amu.edu.pl/data_sets/ankieta.txt", header = TRUE) +empiryczny <- data.frame(cbind(liczebnosc = table(ankieta$wynik), +procent = prop.table(table(ankieta$wynik)))) +tylko_pods <- ankieta[ankieta$szkola == "p", ] +empiryczny_pods <- data.frame(cbind(liczebnosc = table(tylko_pods$wynik), +procent = prop.table(table(tylko_pods$wynik)))) +print(empiryczny_pods) +barplot(empiryczny[empiryczny$liczebnosc], +xLab = "Odpowiedzi", ylab = "Odpowiedzi", +main = "Rozkład empiryczny zmiennej wynik") +# ZAD 1 +ankieta <- read.table("http://ls.home.amu.edu.pl/data_sets/ankieta.txt", header = TRUE) +empiryczny <- data.frame(cbind(liczebnosc = table(ankieta$wynik), +procent = prop.table(table(ankieta$wynik)))) +tylko_pods <- ankieta[ankieta$szkola == "p", ] +empiryczny_pods <- data.frame(cbind(liczebnosc = table(tylko_pods$wynik), +procent = prop.table(table(tylko_pods$wynik)))) +print(empiryczny_pods) +barplot(empiryczny[empiryczny$liczebnosc, ], +xLab = "Odpowiedzi", ylab = "Odpowiedzi", +main = "Rozkład empiryczny zmiennej wynik") +# ZAD 1 +ankieta <- read.table("http://ls.home.amu.edu.pl/data_sets/ankieta.txt", header = TRUE) +empiryczny <- data.frame(cbind(liczebnosc = table(ankieta$wynik), +procent = prop.table(table(ankieta$wynik)))) +tylko_pods <- ankieta[ankieta$szkola == "p", ] +empiryczny_pods <- data.frame(cbind(liczebnosc = table(tylko_pods$wynik), +procent = prop.table(table(tylko_pods$wynik)))) +print(empiryczny_pods) +barplot(table(empiryczny), +xLab = "Odpowiedzi", ylab = "Odpowiedzi", +main = "Rozkład empiryczny zmiennej wynik") +# ZAD 1 +ankieta <- read.table("http://ls.home.amu.edu.pl/data_sets/ankieta.txt", header = TRUE) +empiryczny <- data.frame(cbind(liczebnosc = table(ankieta$wynik), +procent = prop.table(table(ankieta$wynik)))) +tylko_pods <- ankieta[ankieta$szkola == "p", ] +empiryczny_pods <- data.frame(cbind(liczebnosc = table(tylko_pods$wynik), +procent = prop.table(table(tylko_pods$wynik)))) +print(empiryczny_pods) +barplot(table(empiryczny[empiryczny$liczebnosc, ]), +xLab = "Odpowiedzi", ylab = "Odpowiedzi", +main = "Rozkład empiryczny zmiennej wynik") +print(table(empiryczny)) +# ZAD 1 +ankieta <- read.table("http://ls.home.amu.edu.pl/data_sets/ankieta.txt", header = TRUE) +empiryczny <- data.frame(cbind(liczebnosc = table(ankieta$wynik), +procent = prop.table(table(ankieta$wynik)))) +tylko_pods <- ankieta[ankieta$szkola == "p", ] +empiryczny_pods <- data.frame(cbind(liczebnosc = table(tylko_pods$wynik), +procent = prop.table(table(tylko_pods$wynik)))) +print(empiryczny_pods) +barplot(empiryczny, +xLab = "Odpowiedzi", ylab = "Odpowiedzi", +main = "Rozkład empiryczny zmiennej wynik") +# ZAD 1 +ankieta <- read.table("http://ls.home.amu.edu.pl/data_sets/ankieta.txt", header = TRUE) +empiryczny <- data.frame(cbind(liczebnosc = table(ankieta$wynik), +procent = prop.table(table(ankieta$wynik)))) +print(empiryczny) +tylko_pods <- ankieta[ankieta$szkola == "p", ] +empiryczny_pods <- data.frame(cbind(liczebnosc = table(tylko_pods$wynik), +procent = prop.table(table(tylko_pods$wynik)))) +print(empiryczny_pods) +barplot(empiryczny, +xLab = "Odpowiedzi", ylab = "Odpowiedzi", +main = "Rozkład empiryczny zmiennej wynik") +# ZAD 1 +ankieta <- read.table("http://ls.home.amu.edu.pl/data_sets/ankieta.txt", header = TRUE) +empiryczny <- data.frame(cbind(liczebnosc = table(ankieta$wynik), +procent = prop.table(table(ankieta$wynik)))) +print(empiryczny) +tylko_pods <- ankieta[ankieta$szkola == "p", ] +empiryczny_pods <- data.frame(cbind(liczebnosc = table(tylko_pods$wynik), +procent = prop.table(table(tylko_pods$wynik)))) +print(empiryczny_pods) +barplot(cbind(liczebnosc = table(ankieta$wynik), +procent = prop.table(table(ankieta$wynik))), +xLab = "Odpowiedzi", ylab = "Odpowiedzi", +main = "Rozkład empiryczny zmiennej wynik") +# ZAD 1 +ankieta <- read.table("http://ls.home.amu.edu.pl/data_sets/ankieta.txt", header = TRUE) +empiryczny <- data.frame(cbind(liczebnosc = table(ankieta$wynik), +procent = prop.table(table(ankieta$wynik)))) +print(empiryczny) +tylko_pods <- ankieta[ankieta$szkola == "p", ] +empiryczny_pods <- data.frame(cbind(liczebnosc = table(tylko_pods$wynik), +procent = prop.table(table(tylko_pods$wynik)))) +print(empiryczny_pods) +barplot(table(ankieta$wynik), +xLab = "Odpowiedzi", ylab = "Odpowiedzi", +main = "Rozkład empiryczny zmiennej wynik") +# ZAD 1 +ankieta <- read.table("http://ls.home.amu.edu.pl/data_sets/ankieta.txt", header = TRUE) +empiryczny <- data.frame(cbind(liczebnosc = table(ankieta$wynik), +procent = prop.table(table(ankieta$wynik)))) +print(empiryczny) +tylko_pods <- ankieta[ankieta$szkola == "p", ] +empiryczny_pods <- data.frame(cbind(liczebnosc = table(tylko_pods$wynik), +procent = prop.table(table(tylko_pods$wynik)))) +print(empiryczny_pods) +barplot(table(ankieta$wynik), +xlab = "Odpowiedzi", ylab = "Odpowiedzi", +main = "Rozkład empiryczny zmiennej wynik") +barplot(prop.table(table(ankieta$wynik)), +xlab = "Odpowiedzi", ylab = "Odpowiedzi", +main = "Rozkład empiryczny zmiennej wynik") +pie(table(ankieta$wynik)) +barplot(prop.table(table(ankieta$wynik, ankieta$plec)), +beside = TRUE, +xlab = "Odpowiedzi", ylab = "Odpowiedzi", +main = "Rozkład empiryczny zmiennej wynik") +barplot(prop.table(table(ankieta$wynik, ankieta$plec)), +beside = TRUE, +legend = levels(ankieta$wynik)) +barplot(prop.table(table(ankieta$wynik, ankieta$plec)), +beside = TRUE, +col = 1:5, +legend = levels(ankieta$wynik)) +centrala <- read.table("http://ls.home.amu.edu.pl/data_sets/Centrala.RData", header = TRUE) +load(url("http://ls.home.amu.edu.pl/data_sets/Centrala.RData")) +head(Centrala) +View(Centrala) +View(Centrala) +load(url("http://ls.home.amu.edu.pl/data_sets/Centrala.RData")) +head(Centrala) +empiryczny <- data.frame(cbind(liczebnosc = table(Centrala$Liczba), +procent = prop.table(table(Centrala$Liczba)))) +print(empiryczny) +barplot(table(Centrala$Liczba), +legend = levels(Centrala$Liczba)) +barplot(table(Centrala$Liczba), +col = 1:5, +legend = levels(Centrala$Liczba)) +barplot(prop.table(table(Centrala$Liczba)), +col = 1:5, +legend = levels(Centrala$Liczba)) +pie(table(Centrala$Liczba)) +mean(Centrala$Liczba) +median(Centrala$Liczba) +sd(Centrala$Liczba) +sd(Centrala$Liczba) / mean(Centrala$Liczba) * 100 +x <- c(0.9, 6.2, 2.1, 4.1, 7.3, +1.0, 4.6, 6.4, 3.8, 5.0, +2.7, 9.2, 5.9, 7.4, 3.0, +4.9, 8.2, 5.0, 1.2, 10.1, +12.2, 2.8, 5.9, 8.2, 0.5) +breaks_hist <- hist(x, plot = FALSE) +breaks_hist <- hist(x, plot = FALSE) +plot(breaks_hist) +breaks_hist <- hist(x, plot = FALSE)$breaks +plot(breaks_hist) +breaks_hist <- hist(x, plot = FALSE)$breaks +print(breaks_hist) +table(cut(x, breaks = breaks_hist)) +cut(x, breaks = breaks_hist) +empiryczny <- data.frame(cbind(liczebnosc = table(cut(x, breaks = breaks_hist)), +procent = prop.table(table(cut(x, breaks = breaks_hist))))) +print(empiryczny) +histogram <- hist(x, plot = FALSE) +plot(histogram) +hist(x, plot = FALSE) +lines(density(x), col = "green", lwd = 2) +hist(x) +hist(x, col = "lightblue") +hist(x, col = "lightblue") +lines(density(x), col = "green", lwd = 2) +hist(x, col = "lightblue", probability = TRUE) +lines(density(x), col = "green", lwd = 2) +hist(x, col = "lightblue", probability = TRUE) +lines(density(x), col = "green", lwd = 1) +boxplot(x) +mean(x) +median(x) +sd(x) +sd(x) / mean(x) * 100 +skewness(x) +e1071::skewness(x) +install.packages("e1071") +skewness(x) +library(e1071) +skewness(x) +kurtosis(x) +hist(x, col = "lightblue", probability = TRUE) +lines(density(x), col = "green", lwd = 2) +x <- c(1, NA, 3) +wspolczynnik_zmiennosci(x) +wspolczynnik_zmiennosci <- function(x, na.rm = FALSE) { +if (!is.numeric(x)) stop("argument nie jest liczbą") +if (na.rm) x <- na.omit(x) +return(100 * sd(x) / mean(x)) +} +x <- c(1, NA, 3) +wspolczynnik_zmiennosci(x) +wspolczynnik_zmiennosci(x, na.rm = TRUE) +wspolczynnik_zmiennosci() +wspolczynnik_zmiennosci(c("x", "y")) diff --git a/zajecia3/README.md b/zajecia3/README.md new file mode 100644 index 0000000..ef96bb9 --- /dev/null +++ b/zajecia3/README.md @@ -0,0 +1,31 @@ +# Zajęcia 3 +Moje notatki + +## Miara asymetrii rozkładu +W którą stronę - prawo/lewo, zmienna się rozkłada. +- zero to symetryczny +- dodatnie to prawostronnie asymetryczny - lewa część jest większa +- ujemna to lewostronnie asymetryczna - prawa część jest większa + +## Kurtoza +Miara skupienia wartości wokół średniej. +Porównuje rozkład empiryczny z rozkładem normalnym. +- Dodatnia, im większa wartość tym bardziej wartości skupione wokół średniej +- Dla rozkłądu normalnego = 0 +- Dla ujemnych (min -2) wykres jest bardziej spłaszczony ni rozkłąd normalny + +## Rozkład empiryczny +Za pomocą szeregu rozdzielczego to np podanie liczebności i udziału procentowego danej zmiennej + +## Odchylenie standardowe +Intuicyjnie rzecz ujmując, odchylenie standardowe mówi, jak szeroko wartości jakiejś wielkości (na przykład wieku, inflacji, kursu walutowego) są rozrzucone wokół jej średniej. +Im mniejsza wartość odchylenia tym obserwacje są bardziej skupione wokół średniej. + +## Współczynnik zmienności +Podaje się w procentach, jest to relacja odchylenia standardowego ze średnią. +Mów nam jak bardzo wartości odbiegają od siebie. +Dzięki temu ze jest w procentach mozemy porównywać rózne rozkłady. +- [Przykład](https://pl.wikipedia.org/wiki/Współczynnik_zmienności) + +## Funkcja gęstości +Nieujemna funkcja rzeczywista, określona dla rozkładu prawdopodobieństwa, taka że całka z tej funkcji, obliczona w odpowiednich granicach, jest równa prawdopodobieństwu wystąpienia danego zdarzenia losowego. \ No newline at end of file diff --git a/zajecia3/Zajęcia3.pdf b/zajecia3/Zajęcia3.pdf new file mode 100644 index 0000000000000000000000000000000000000000..bd9eddcf7fc6d3c2cbb712f24c33a130f017bdab GIT binary patch literal 1532843 zcmV)7K*zr&P((&8F)lX>3N#=vAa7!73OqatFGgu>bY*fNFGg%(bY(Vma%Ev{3V59Dy-9N9x)LQi*D5qFGs*xE0KsMaQ7zz^{dxnb z%&PW3D1rpskHbAe3MoQTX7Y}7Pcqn`@#c5~_p&6n{rBu%oRfb{`rk_QFKciv#^?XM 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za>{_fw}&ZpMdE`gagh5ewoDepV|)8@c#B7%L;jvz`r^rA@#w?_$072ZL({bO4(EW~ an%u$pL2O>o;{HvB&%_{_yu6{g5$#`S8N1>D literal 0 HcmV?d00001 diff --git a/zajecia3/zadania.R b/zajecia3/zadania.R new file mode 100644 index 0000000..a8397ef --- /dev/null +++ b/zajecia3/zadania.R @@ -0,0 +1,107 @@ + +# ZAD 1 +ankieta <- read.table("http://ls.home.amu.edu.pl/data_sets/ankieta.txt", header = TRUE) + +empiryczny <- data.frame(cbind(liczebnosc = table(ankieta$wynik), + procent = prop.table(table(ankieta$wynik)))) +print(empiryczny) + +tylko_pods <- ankieta[ankieta$szkola == "p", ] +empiryczny_pods <- data.frame(cbind(liczebnosc = table(tylko_pods$wynik), + procent = prop.table(table(tylko_pods$wynik)))) +print(empiryczny_pods) + +barplot(table(ankieta$wynik), + xlab = "Odpowiedzi", ylab = "Odpowiedzi", + main = "Rozkład empiryczny zmiennej wynik") + +barplot(prop.table(table(ankieta$wynik)), + xlab = "Odpowiedzi", ylab = "Odpowiedzi", + main = "Rozkład empiryczny zmiennej wynik") + +pie(table(ankieta$wynik)) + +barplot(prop.table(table(ankieta$wynik, ankieta$plec)), + beside = TRUE, + col = 1:5, + legend = levels(ankieta$wynik)) + +# ZAD 2 +load(url("http://ls.home.amu.edu.pl/data_sets/Centrala.RData")) +head(Centrala) + +empiryczny <- data.frame(cbind(liczebnosc = table(Centrala$Liczba), + procent = prop.table(table(Centrala$Liczba)))) +print(empiryczny) + +barplot(table(Centrala$Liczba), + col = 1:5, + legend = levels(Centrala$Liczba)) + +barplot(prop.table(table(Centrala$Liczba)), + col = 1:5, + legend = levels(Centrala$Liczba)) + +pie(table(Centrala$Liczba)) + +mean(Centrala$Liczba) +median(Centrala$Liczba) +sd(Centrala$Liczba) +sd(Centrala$Liczba) / mean(Centrala$Liczba) * 100 + + +# ZAD 3 +x <- c(0.9, 6.2, 2.1, 4.1, 7.3, + 1.0, 4.6, 6.4, 3.8, 5.0, + 2.7, 9.2, 5.9, 7.4, 3.0, + 4.9, 8.2, 5.0, 1.2, 10.1, + 12.2, 2.8, 5.9, 8.2, 0.5) + +# tworzymy przedziały +breaks_hist <- hist(x, plot = FALSE)$breaks +empiryczny <- data.frame(cbind(liczebnosc = table(cut(x, breaks = breaks_hist)), + procent = prop.table(table(cut(x, breaks = breaks_hist))))) +print(empiryczny) + +hist(x) + +# lwd to grubość, density to funkcja gęstości +hist(x, col = "lightblue", probability = TRUE) +lines(density(x), col = "green", lwd = 2) + +boxplot(x) + +mean(x) +median(x) +sd(x) +sd(x) / mean(x) * 100 + +install.packages("e1071") +library(e1071) + +skewness(x) +kurtosis(x) + + +# ZAD 4 +wspolczynnik_zmiennosci <- function(x, na.rm = FALSE) { + if (!is.numeric(x)) stop("argument nie jest liczbą") + if (na.rm) x <- na.omit(x) + return(100 * sd(x) / mean(x)) +} + +x <- c(1, NA, 3) +wspolczynnik_zmiennosci(x) + +wspolczynnik_zmiennosci(x, na.rm = TRUE) + +wspolczynnik_zmiennosci() + +wspolczynnik_zmiennosci(c("x", "y")) + + + + + + +