Nothing
# create test dataset following normal distribution with correlation
source("http://aoki2.si.gunma-u.ac.jp/R/src/gendat2.R", encoding="euc-jp") # for introducing correlation
nc <- 100 # number of records
z <- gendat2(nc, 0.8)
ot1 <- RMSD(z)
cqd99 <- qchisq(0.99, df=2) # 99 percentile point
cqd999 <- qchisq(0.999, df=2) # 99.9 percentile point
eg <- eigen(ot1$V) # calculation of eigen value and vector
P <- eg$vectors
D <- matrix(rep(0, 2*2), ncol=2)
diag(D) <- eg$values
PP <- solve(P)
ax1 <- sqrt(cqd99 * eg$values)
ax2 <- sqrt(cqd999 * eg$values)
nb <- 0:200
dw <- 2 * pi / 200
w <- dw * nb
XA1 <- ax1[1] * cos(w) # 95%点の場合
XA2 <- ax1[2] * sin(w)
XB1 <- ax2[1] * cos(w) # 99%点の場合
XB2 <- ax2[2] * sin(w)
XX1 <- t(t(PP) %*% t(cbind(XA1, XA2)) )
XX2 <- t(t(PP) %*% t(cbind(XB1, XB2)))
plot(z, col=ot1$ot, pch=19, main="Scatterplot (outliers are shown in red)")
lines(XX1, col=2, lwd=2, lty=3) # 楕円描画 95%点の場合
lines(XX2, col=4, lwd=2, lty=3) # 楕円描画 99%点の場合
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