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chap04-bootstrap.R
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n <- 20
Y <- rnorm(n, 0, 1)
data <- NULL
B <- 10
Ybar.b <- NULL
for(b in 1: B){
Y.b <- sample(Y, n, replace = TRUE)
Ybar.b <- c(Ybar.b, mean(Y.b))
}
Ybar.density <- density(Ybar.b)
data <- cbind(Ybar.density$x, Ybar.density$y, rep(B, length(Ybar.density$y)))
B <- 20
Ybar.b <- NULL
for(b in 1: B){
Y.b <- sample(Y, n, replace = TRUE)
Ybar.b <- c(Ybar.b, mean(Y.b))
}
Ybar.density <- density(Ybar.b)
data <- rbind(data, cbind(Ybar.density$x, Ybar.density$y, rep(B, length(Ybar.density$y))))
B <- 50
Ybar.b <- NULL
for(b in 1: B){
Y.b <- sample(Y, n, replace = TRUE)
Ybar.b <- c(Ybar.b, mean(Y.b))
}
Ybar.density <- density(Ybar.b)
data <- rbind(data, cbind(Ybar.density$x, Ybar.density$y, rep(B, length(Ybar.density$y))))
B <- 100
Ybar.b <- NULL
for(b in 1: B){
Y.b <- sample(Y, n, replace = TRUE)
Ybar.b <- c(Ybar.b, mean(Y.b))
}
Ybar.density <- density(Ybar.b)
data <- rbind(data, cbind(Ybar.density$x, Ybar.density$y, rep(B, length(Ybar.density$y))))
Ybar.density <- density(Y)
data <- rbind(data, cbind(seq(from = -1, to= 1, length.out = 1000), dnorm(seq(from = -1, to= 1, length.out = 1000), mean = 0, sd = sqrt(1/n)), rep(0, 1000)))
colnames(data) <- c("y.bar", "density", "B")
data <- as.data.frame(data)
data$B <- as.character(data$B)
data$B[data$B == "0"] <- "True"
data$B <- factor(data$B, levels = c("True", "10", "20", "50", "100"))
library(ggplot2)
ggplot(data, mapping = aes(x = y.bar, y = density, group = B, color = B)) + geom_line() + labs(title = "n = 20") + theme(plot.title = element_text(hjust = 0.5))
n <- 50
Y <- rnorm(n, 0, 1)
data <- NULL
B <- 10
Ybar.b <- NULL
for(b in 1: B){
Y.b <- sample(Y, n, replace = TRUE)
Ybar.b <- c(Ybar.b, mean(Y.b))
}
Ybar.density <- density(Ybar.b)
data <- cbind(Ybar.density$x, Ybar.density$y, rep(B, length(Ybar.density$y)))
B <- 20
Ybar.b <- NULL
for(b in 1: B){
Y.b <- sample(Y, n, replace = TRUE)
Ybar.b <- c(Ybar.b, mean(Y.b))
}
Ybar.density <- density(Ybar.b)
data <- rbind(data, cbind(Ybar.density$x, Ybar.density$y, rep(B, length(Ybar.density$y))))
B <- 50
Ybar.b <- NULL
for(b in 1: B){
Y.b <- sample(Y, n, replace = TRUE)
Ybar.b <- c(Ybar.b, mean(Y.b))
}
Ybar.density <- density(Ybar.b)
data <- rbind(data, cbind(Ybar.density$x, Ybar.density$y, rep(B, length(Ybar.density$y))))
B <- 100
Ybar.b <- NULL
for(b in 1: B){
Y.b <- sample(Y, n, replace = TRUE)
Ybar.b <- c(Ybar.b, mean(Y.b))
}
Ybar.density <- density(Ybar.b)
data <- rbind(data, cbind(Ybar.density$x, Ybar.density$y, rep(B, length(Ybar.density$y))))
Ybar.density <- density(Y)
data <- rbind(data, cbind(seq(from = -1, to= 1, length.out = 1000), dnorm(seq(from = -1, to= 1, length.out = 1000), mean = 0, sd = sqrt(1/n)), rep(0, 1000)))
colnames(data) <- c("y.bar", "density", "B")
data <- as.data.frame(data)
data$B <- as.character(data$B)
data$B[data$B == "0"] <- "True"
data$B <- factor(data$B, levels = c("True", "10", "20", "50", "100"))
library(ggplot2)
ggplot(data, mapping = aes(x = y.bar, y = density, group = B, color = B)) + geom_line() + labs(title = "n = 50") + theme(plot.title = element_text(hjust = 0.5))
n <- 100
Y <- rnorm(n, 0, 1)
data <- NULL
B <- 10
Ybar.b <- NULL
for(b in 1: B){
Y.b <- sample(Y, n, replace = TRUE)
Ybar.b <- c(Ybar.b, mean(Y.b))
}
Ybar.density <- density(Ybar.b)
data <- cbind(Ybar.density$x, Ybar.density$y, rep(B, length(Ybar.density$y)))
B <- 20
Ybar.b <- NULL
for(b in 1: B){
Y.b <- sample(Y, n, replace = TRUE)
Ybar.b <- c(Ybar.b, mean(Y.b))
}
Ybar.density <- density(Ybar.b)
data <- rbind(data, cbind(Ybar.density$x, Ybar.density$y, rep(B, length(Ybar.density$y))))
B <- 50
Ybar.b <- NULL
for(b in 1: B){
Y.b <- sample(Y, n, replace = TRUE)
Ybar.b <- c(Ybar.b, mean(Y.b))
}
Ybar.density <- density(Ybar.b)
data <- rbind(data, cbind(Ybar.density$x, Ybar.density$y, rep(B, length(Ybar.density$y))))
B <- 100
Ybar.b <- NULL
for(b in 1: B){
Y.b <- sample(Y, n, replace = TRUE)
Ybar.b <- c(Ybar.b, mean(Y.b))
}
Ybar.density <- density(Ybar.b)
data <- rbind(data, cbind(Ybar.density$x, Ybar.density$y, rep(B, length(Ybar.density$y))))
Ybar.density <- density(Y)
data <- rbind(data, cbind(seq(from = -1, to= 1, length.out = 1000), dnorm(seq(from = -1, to= 1, length.out = 1000), mean = 0, sd = sqrt(1/n)), rep(0, 1000)))
colnames(data) <- c("y.bar", "density", "B")
data <- as.data.frame(data)
data$B <- as.character(data$B)
data$B[data$B == "0"] <- "True"
data$B <- factor(data$B, levels = c("True", "10", "20", "50", "100"))
library(ggplot2)
ggplot(data, mapping = aes(x = y.bar, y = density, group = B, color = B)) + geom_line() + labs(title = "n = 100") + theme(plot.title = element_text(hjust = 0.5))