#그래프
#산점도
methods("plot")
## [1] plot.acf* plot.data.frame* plot.decomposed.ts*
## [4] plot.default plot.dendrogram* plot.density*
## [7] plot.ecdf plot.factor* plot.formula*
## [10] plot.function plot.hclust* plot.histogram*
## [13] plot.HoltWinters* plot.isoreg* plot.lm*
## [16] plot.medpolish* plot.mlm* plot.ppr*
## [19] plot.prcomp* plot.princomp* plot.profile.nls*
## [22] plot.raster* plot.spec* plot.stepfun
## [25] plot.stl* plot.table* plot.ts
## [28] plot.tskernel* plot.TukeyHSD*
## see '?methods' for accessing help and source code
library("mlbench")
## Warning: package 'mlbench' was built under R version 3.3.3
data(Ozone)
plot(Ozone$V8, Ozone$V9)
#축 이름(xlab,ylab)
plot(Ozone$V8, Ozone$V9, xlab="Sandburg Temperature",ylab="E1 Monte Temperature")
#그래프 제목(main)
plot(Ozone$V8, Ozone$V9, xlab="Sandburg Temperature",ylab="E1 Monte Temperature",main="Ozone")
#점의 종류(pch)
plot(Ozone$V8, Ozone$V9, xlab="Sandburg Temperature",ylab="E1 Monte Temperature",main="Ozone",pch=20)
plot(Ozone$V8, Ozone$V9, xlab="Sandburg Temperature",ylab="E1 Monte Temperature",main="Ozone",pch="+")
#점의 크기(cex)
plot(Ozone$V8, Ozone$V9, xlab="Sandburg Temperature",ylab="E1 Monte Temperature",main="Ozone",cex=.1)
#색상(col)
plot(Ozone$V8, Ozone$V9, xlab="Sandburg Temperature",ylab="E1 Monte Temperature",main="Ozone",col="#FF0000")
#좌표축 값의 범위(xlim,ylim)
plot(Ozone$V8, Ozone$V9, xlab="Sandburg Temperature",ylab="E1 Monte Temperature",main="Ozone")
max(Ozone$V8)
## [1] NA
max(Ozone$V8, na.rm=TRUE)
## [1] 93
max(Ozone$V9, na.rm=TRUE)
## [1] 82.58
plot(Ozone$V8, Ozone$V9, xlab="Sandburg Temperature",ylab="E1 Monte Temperature",main="Ozone",
xlim=c(0,100),ylim=c(0,90))
#type
data(cars)
str(cars)
## 'data.frame': 50 obs. of 2 variables:
## $ speed: num 4 4 7 7 8 9 10 10 10 11 ...
## $ dist : num 2 10 4 22 16 10 18 26 34 17 ...
head(cars)
## speed dist
## 1 4 2
## 2 4 10
## 3 7 4
## 4 7 22
## 5 8 16
## 6 9 10
plot(cars,type="l")
plot(cars,type="o",cex=0.5)
tapply(cars$dist, cars$speed, mean)
## 4 7 8 9 10 11 12 13
## 6.00000 13.00000 16.00000 10.00000 26.00000 22.50000 21.50000 35.00000
## 14 15 16 17 18 19 20 22
## 50.50000 33.33333 36.00000 40.66667 64.50000 50.00000 50.40000 66.00000
## 23 24 25
## 54.00000 93.75000 85.00000
plot(tapply(cars$dist, cars$speed, mean),type="o",cex=0.5,xlab="speed",ylab="dist")
#그래프의 배열(mfrow)
opar <- par(mfrow=c(1,2))
plot(Ozone$V8, Ozone$V9, xlab="Sandburg Temperature",ylab="E1 Monte Temperature",main="Ozone")
plot(Ozone$V8, Ozone$V9, xlab="Sandburg Temperature",ylab="E1 Monte Temperature",main="Ozone2")
par(opar)
#지터(jitter)
head(Ozone)
## V1 V2 V3 V4 V5 V6 V7 V8 V9 V10 V11 V12 V13
## 1 1 1 4 3 5480 8 20 NA NA 5000 -15 30.56 200
## 2 1 2 5 3 5660 6 NA 38 NA NA -14 NA 300
## 3 1 3 6 3 5710 4 28 40 NA 2693 -25 47.66 250
## 4 1 4 7 5 5700 3 37 45 NA 590 -24 55.04 100
## 5 1 5 1 5 5760 3 51 54 45.32 1450 25 57.02 60
## 6 1 6 2 6 5720 4 69 35 49.64 1568 15 53.78 60
plot(Ozone$V6, Ozone$V7, xlab="Windspeed",ylab="Humidity",main="Ozone",pch=20, cex=.5)
plot(jitter(Ozone$V6),jitter(Ozone$V7),xlab="Windspeed",ylab="Humidity",main="Ozone",pch=20, cex=.5)
#점(points)
plot(iris$Sepal.Width, iris$Sepal.Length, cex=.5, pch=20, xlab="width", ylab="length", main="iris")
points(iris$Petal.Width, iris$Petal.Length, cex=.5, pch="+", col="#FF0000")
attach(iris)
plot(Sepal.Width, Sepal.Length, cex=.5, pch=20, xlab="width", ylab="length", main="iris")
points(Petal.Width, Petal.Length, cex=.5, pch="+", col="#FF0000")
with(iris,{
plot(Sepal.Width, Sepal.Length, cex=.5, pch=20,xlab="width",ylab="length",main="iris")
points(Petal.Width, Petal.Length, cex=.5, pch="+",col="#FF0000")})
with(iris,{
plot(NULL, xlim=c(0,5),ylim=c(0,10),xlab="width",ylab="length",main="iris",type="n")
points(Sepal.Width, Sepal.Length, cex=.5, pch=20)
points(Petal.Width, Petal.Length, cex=.5, pch="+", col="#FF0000")})
#lines
x <- seq(0, 2*pi, 0.1)
y <- sin(x)
plot(x,y,cex=.5, col="red")
lines(x,y)
data(cars)
head(cars)
## speed dist
## 1 4 2
## 2 4 10
## 3 7 4
## 4 7 22
## 5 8 16
## 6 9 10
plot(cars)
lines(lowess(cars))
#abline
plot(cars, xlim=c(0,25))
abline(a=-5, b=3.5, col="red")
plot(cars, xlim=c(0,25))
abline(a=-5, b=3.5, col="red")
abline(h=mean(cars$dist), lty=2, col="blue")
abline(v=mean(cars$speed), lty=2, col="green")
#curve
curve(sin, 0, 2*pi)
#polygon
m <- lm(dist~speed, data=cars)
m
##
## Call:
## lm(formula = dist ~ speed, data = cars)
##
## Coefficients:
## (Intercept) speed
## -17.579 3.932
abline(m)
p <- predict(m, interval="confidence")
head(p)
## fit lwr upr
## 1 -1.849460 -12.329543 8.630624
## 2 -1.849460 -12.329543 8.630624
## 3 9.947766 1.678977 18.216556
## 4 9.947766 1.678977 18.216556
## 5 13.880175 6.307527 21.452823
## 6 17.812584 10.905120 24.720047
x <- c(cars$speed, tail(cars$speed, 1), rev(cars$speed), cars$speed[1])
y <- c(p[, "lwr"], tail(p, "upr", 1), rev(p[, "upr"]), p[, "lwr"][1])
m <- lm(dist ~ speed, data=cars)
p <- predict(m, interval="confidence")
plot(cars)
abline(m)
x <- c(cars$speed, tail(cars$speed, 1), rev(cars$speed), cars$speed[1])
y <- c(p[, "lwr"], tail(p[, "upr"], 1), rev(p[, "upr"]), p[, "lwr"][1])
polygon(x,y,col=rgb(.7, .7, .7, .5))
#문자열(text)
plot(cars, cex=.5)
text(cars$speed, cars$dist, pos=4, cex=.5)
#그래프상에 그려진 데이터의 식별
plot(cars, cex=.5)
identify(cars$speed, cars$dist)
## integer(0)
#범례(legend)
plot(iris$Sepal.Width, iris$Sepal.Length, cex=.5, pch=20, xlab="width", ylab="length")
points(iris$Sepal.Width, iris$Sepal.Length, cex=.5, pch="+", col="#FF0000")
legend("topright", legend=c("Sepal", "Petal"), pch=c(20, 43), cex=.8, col=c("black","red"),bg="gray")
#행렬에 저장된 데이터 그리기(matplot, matlines, matpoints)
x <- seq(-2*pi, 2*pi, 0.01)
x
## [1] -6.283185307 -6.273185307 -6.263185307 -6.253185307 -6.243185307
## [6] -6.233185307 -6.223185307 -6.213185307 -6.203185307 -6.193185307
## [11] -6.183185307 -6.173185307 -6.163185307 -6.153185307 -6.143185307
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## [661] 0.316814693 0.326814693 0.336814693 0.346814693 0.356814693
## [666] 0.366814693 0.376814693 0.386814693 0.396814693 0.406814693
## [671] 0.416814693 0.426814693 0.436814693 0.446814693 0.456814693
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## [691] 0.616814693 0.626814693 0.636814693 0.646814693 0.656814693
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## [701] 0.716814693 0.726814693 0.736814693 0.746814693 0.756814693
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## [711] 0.816814693 0.826814693 0.836814693 0.846814693 0.856814693
## [716] 0.866814693 0.876814693 0.886814693 0.896814693 0.906814693
## [721] 0.916814693 0.926814693 0.936814693 0.946814693 0.956814693
## [726] 0.966814693 0.976814693 0.986814693 0.996814693 1.006814693
## [731] 1.016814693 1.026814693 1.036814693 1.046814693 1.056814693
## [736] 1.066814693 1.076814693 1.086814693 1.096814693 1.106814693
## [741] 1.116814693 1.126814693 1.136814693 1.146814693 1.156814693
## [746] 1.166814693 1.176814693 1.186814693 1.196814693 1.206814693
## [751] 1.216814693 1.226814693 1.236814693 1.246814693 1.256814693
## [756] 1.266814693 1.276814693 1.286814693 1.296814693 1.306814693
## [761] 1.316814693 1.326814693 1.336814693 1.346814693 1.356814693
## [766] 1.366814693 1.376814693 1.386814693 1.396814693 1.406814693
## [771] 1.416814693 1.426814693 1.436814693 1.446814693 1.456814693
## [776] 1.466814693 1.476814693 1.486814693 1.496814693 1.506814693
## [781] 1.516814693 1.526814693 1.536814693 1.546814693 1.556814693
## [786] 1.566814693 1.576814693 1.586814693 1.596814693 1.606814693
## [791] 1.616814693 1.626814693 1.636814693 1.646814693 1.656814693
## [796] 1.666814693 1.676814693 1.686814693 1.696814693 1.706814693
## [801] 1.716814693 1.726814693 1.736814693 1.746814693 1.756814693
## [806] 1.766814693 1.776814693 1.786814693 1.796814693 1.806814693
## [811] 1.816814693 1.826814693 1.836814693 1.846814693 1.856814693
## [816] 1.866814693 1.876814693 1.886814693 1.896814693 1.906814693
## [821] 1.916814693 1.926814693 1.936814693 1.946814693 1.956814693
## [826] 1.966814693 1.976814693 1.986814693 1.996814693 2.006814693
## [831] 2.016814693 2.026814693 2.036814693 2.046814693 2.056814693
## [836] 2.066814693 2.076814693 2.086814693 2.096814693 2.106814693
## [841] 2.116814693 2.126814693 2.136814693 2.146814693 2.156814693
## [846] 2.166814693 2.176814693 2.186814693 2.196814693 2.206814693
## [851] 2.216814693 2.226814693 2.236814693 2.246814693 2.256814693
## [856] 2.266814693 2.276814693 2.286814693 2.296814693 2.306814693
## [861] 2.316814693 2.326814693 2.336814693 2.346814693 2.356814693
## [866] 2.366814693 2.376814693 2.386814693 2.396814693 2.406814693
## [871] 2.416814693 2.426814693 2.436814693 2.446814693 2.456814693
## [876] 2.466814693 2.476814693 2.486814693 2.496814693 2.506814693
## [881] 2.516814693 2.526814693 2.536814693 2.546814693 2.556814693
## [886] 2.566814693 2.576814693 2.586814693 2.596814693 2.606814693
## [891] 2.616814693 2.626814693 2.636814693 2.646814693 2.656814693
## [896] 2.666814693 2.676814693 2.686814693 2.696814693 2.706814693
## [901] 2.716814693 2.726814693 2.736814693 2.746814693 2.756814693
## [906] 2.766814693 2.776814693 2.786814693 2.796814693 2.806814693
## [911] 2.816814693 2.826814693 2.836814693 2.846814693 2.856814693
## [916] 2.866814693 2.876814693 2.886814693 2.896814693 2.906814693
## [921] 2.916814693 2.926814693 2.936814693 2.946814693 2.956814693
## [926] 2.966814693 2.976814693 2.986814693 2.996814693 3.006814693
## [931] 3.016814693 3.026814693 3.036814693 3.046814693 3.056814693
## [936] 3.066814693 3.076814693 3.086814693 3.096814693 3.106814693
## [941] 3.116814693 3.126814693 3.136814693 3.146814693 3.156814693
## [946] 3.166814693 3.176814693 3.186814693 3.196814693 3.206814693
## [951] 3.216814693 3.226814693 3.236814693 3.246814693 3.256814693
## [956] 3.266814693 3.276814693 3.286814693 3.296814693 3.306814693
## [961] 3.316814693 3.326814693 3.336814693 3.346814693 3.356814693
## [966] 3.366814693 3.376814693 3.386814693 3.396814693 3.406814693
## [971] 3.416814693 3.426814693 3.436814693 3.446814693 3.456814693
## [976] 3.466814693 3.476814693 3.486814693 3.496814693 3.506814693
## [981] 3.516814693 3.526814693 3.536814693 3.546814693 3.556814693
## [986] 3.566814693 3.576814693 3.586814693 3.596814693 3.606814693
## [991] 3.616814693 3.626814693 3.636814693 3.646814693 3.656814693
## [996] 3.666814693 3.676814693 3.686814693 3.696814693 3.706814693
## [1001] 3.716814693 3.726814693 3.736814693 3.746814693 3.756814693
## [1006] 3.766814693 3.776814693 3.786814693 3.796814693 3.806814693
## [1011] 3.816814693 3.826814693 3.836814693 3.846814693 3.856814693
## [1016] 3.866814693 3.876814693 3.886814693 3.896814693 3.906814693
## [1021] 3.916814693 3.926814693 3.936814693 3.946814693 3.956814693
## [1026] 3.966814693 3.976814693 3.986814693 3.996814693 4.006814693
## [1031] 4.016814693 4.026814693 4.036814693 4.046814693 4.056814693
## [1036] 4.066814693 4.076814693 4.086814693 4.096814693 4.106814693
## [1041] 4.116814693 4.126814693 4.136814693 4.146814693 4.156814693
## [1046] 4.166814693 4.176814693 4.186814693 4.196814693 4.206814693
## [1051] 4.216814693 4.226814693 4.236814693 4.246814693 4.256814693
## [1056] 4.266814693 4.276814693 4.286814693 4.296814693 4.306814693
## [1061] 4.316814693 4.326814693 4.336814693 4.346814693 4.356814693
## [1066] 4.366814693 4.376814693 4.386814693 4.396814693 4.406814693
## [1071] 4.416814693 4.426814693 4.436814693 4.446814693 4.456814693
## [1076] 4.466814693 4.476814693 4.486814693 4.496814693 4.506814693
## [1081] 4.516814693 4.526814693 4.536814693 4.546814693 4.556814693
## [1086] 4.566814693 4.576814693 4.586814693 4.596814693 4.606814693
## [1091] 4.616814693 4.626814693 4.636814693 4.646814693 4.656814693
## [1096] 4.666814693 4.676814693 4.686814693 4.696814693 4.706814693
## [1101] 4.716814693 4.726814693 4.736814693 4.746814693 4.756814693
## [1106] 4.766814693 4.776814693 4.786814693 4.796814693 4.806814693
## [1111] 4.816814693 4.826814693 4.836814693 4.846814693 4.856814693
## [1116] 4.866814693 4.876814693 4.886814693 4.896814693 4.906814693
## [1121] 4.916814693 4.926814693 4.936814693 4.946814693 4.956814693
## [1126] 4.966814693 4.976814693 4.986814693 4.996814693 5.006814693
## [1131] 5.016814693 5.026814693 5.036814693 5.046814693 5.056814693
## [1136] 5.066814693 5.076814693 5.086814693 5.096814693 5.106814693
## [1141] 5.116814693 5.126814693 5.136814693 5.146814693 5.156814693
## [1146] 5.166814693 5.176814693 5.186814693 5.196814693 5.206814693
## [1151] 5.216814693 5.226814693 5.236814693 5.246814693 5.256814693
## [1156] 5.266814693 5.276814693 5.286814693 5.296814693 5.306814693
## [1161] 5.316814693 5.326814693 5.336814693 5.346814693 5.356814693
## [1166] 5.366814693 5.376814693 5.386814693 5.396814693 5.406814693
## [1171] 5.416814693 5.426814693 5.436814693 5.446814693 5.456814693
## [1176] 5.466814693 5.476814693 5.486814693 5.496814693 5.506814693
## [1181] 5.516814693 5.526814693 5.536814693 5.546814693 5.556814693
## [1186] 5.566814693 5.576814693 5.586814693 5.596814693 5.606814693
## [1191] 5.616814693 5.626814693 5.636814693 5.646814693 5.656814693
## [1196] 5.666814693 5.676814693 5.686814693 5.696814693 5.706814693
## [1201] 5.716814693 5.726814693 5.736814693 5.746814693 5.756814693
## [1206] 5.766814693 5.776814693 5.786814693 5.796814693 5.806814693
## [1211] 5.816814693 5.826814693 5.836814693 5.846814693 5.856814693
## [1216] 5.866814693 5.876814693 5.886814693 5.896814693 5.906814693
## [1221] 5.916814693 5.926814693 5.936814693 5.946814693 5.956814693
## [1226] 5.966814693 5.976814693 5.986814693 5.996814693 6.006814693
## [1231] 6.016814693 6.026814693 6.036814693 6.046814693 6.056814693
## [1236] 6.066814693 6.076814693 6.086814693 6.096814693 6.106814693
## [1241] 6.116814693 6.126814693 6.136814693 6.146814693 6.156814693
## [1246] 6.166814693 6.176814693 6.186814693 6.196814693 6.206814693
## [1251] 6.216814693 6.226814693 6.236814693 6.246814693 6.256814693
## [1256] 6.266814693 6.276814693
y <- matrix(c(cos(x),sin(x)),ncol=2)
matplot(x,y,col=c("red","black"),cex=.2)
abline(h=0,v=0)
#상자 그림(boxplot)
boxplot(iris$Sepal.Width)
boxstats <- boxplot(iris$Sepal.Width)
boxstats
## $stats
## [,1]
## [1,] 2.2
## [2,] 2.8
## [3,] 3.0
## [4,] 3.3
## [5,] 4.0
##
## $n
## [1] 150
##
## $conf
## [,1]
## [1,] 2.935497
## [2,] 3.064503
##
## $out
## [1] 4.4 4.1 4.2 2.0
##
## $group
## [1] 1 1 1 1
##
## $names
## [1] "1"
boxstats <- boxplot(iris$Sepal.Width, horizontal=TRUE)
text(boxstats$out, rep(1, NROW(boxstats$out)), labels=boxstats$out, pos=1, cex=.5)
sv <- subset(iris, Species=="setosa"|Species=="versicolor")
sv$Species <- factor(sv$Species)
boxplot(Sepal.Width~Species, data=sv, notch=TRUE)
#히스토그램(hist)
hist(iris$Sepal.Width)
hist(iris$Sepal.Width, freq=FALSE)
x <- hist(iris$Sepal.Width, freq=FALSE)
x
## $breaks
## [1] 2.0 2.2 2.4 2.6 2.8 3.0 3.2 3.4 3.6 3.8 4.0 4.2 4.4
##
## $counts
## [1] 4 7 13 23 36 24 18 10 9 3 2 1
##
## $density
## [1] 0.13333333 0.23333333 0.43333333 0.76666667 1.20000000 0.80000000
## [7] 0.60000000 0.33333333 0.30000000 0.10000000 0.06666667 0.03333333
##
## $mids
## [1] 2.1 2.3 2.5 2.7 2.9 3.1 3.3 3.5 3.7 3.9 4.1 4.3
##
## $xname
## [1] "iris$Sepal.Width"
##
## $equidist
## [1] TRUE
##
## attr(,"class")
## [1] "histogram"
#밀도 그림(density)
plot(density(iris$Sepal.Width))
hist(iris$Sepal.Width, freq=FALSE)
lines(density(iris$Sepal.Width))
plot(density(iris$Sepal.Width))
rug(jitter(iris$Sepal.Width))
#막대 그림(barplot)
barplot(tapply(iris$Sepal.Width, iris$Species, mean))
#파이 그래프(pie)
cut(1:10, breaks=c(0,5,10))
## [1] (0,5] (0,5] (0,5] (0,5] (0,5] (5,10] (5,10] (5,10] (5,10] (5,10]
## Levels: (0,5] (5,10]
cut(1:10, breaks=3)
## [1] (0.991,4] (0.991,4] (0.991,4] (0.991,4] (4,7] (4,7] (4,7]
## [8] (7,10] (7,10] (7,10]
## Levels: (0.991,4] (4,7] (7,10]
cut(iris$Sepal.Width, breaks=10)
## [1] (3.44,3.68] (2.96,3.2] (2.96,3.2] (2.96,3.2] (3.44,3.68]
## [6] (3.68,3.92] (3.2,3.44] (3.2,3.44] (2.72,2.96] (2.96,3.2]
## [11] (3.68,3.92] (3.2,3.44] (2.96,3.2] (2.96,3.2] (3.92,4.16]
## [16] (4.16,4.4] (3.68,3.92] (3.44,3.68] (3.68,3.92] (3.68,3.92]
## [21] (3.2,3.44] (3.68,3.92] (3.44,3.68] (3.2,3.44] (3.2,3.44]
## [26] (2.96,3.2] (3.2,3.44] (3.44,3.68] (3.2,3.44] (2.96,3.2]
## [31] (2.96,3.2] (3.2,3.44] (3.92,4.16] (4.16,4.4] (2.96,3.2]
## [36] (2.96,3.2] (3.44,3.68] (3.44,3.68] (2.96,3.2] (3.2,3.44]
## [41] (3.44,3.68] (2.24,2.48] (2.96,3.2] (3.44,3.68] (3.68,3.92]
## [46] (2.96,3.2] (3.68,3.92] (2.96,3.2] (3.68,3.92] (3.2,3.44]
## [51] (2.96,3.2] (2.96,3.2] (2.96,3.2] (2.24,2.48] (2.72,2.96]
## [56] (2.72,2.96] (3.2,3.44] (2.24,2.48] (2.72,2.96] (2.48,2.72]
## [61] (2,2.24] (2.96,3.2] (2,2.24] (2.72,2.96] (2.72,2.96]
## [66] (2.96,3.2] (2.96,3.2] (2.48,2.72] (2,2.24] (2.48,2.72]
## [71] (2.96,3.2] (2.72,2.96] (2.48,2.72] (2.72,2.96] (2.72,2.96]
## [76] (2.96,3.2] (2.72,2.96] (2.96,3.2] (2.72,2.96] (2.48,2.72]
## [81] (2.24,2.48] (2.24,2.48] (2.48,2.72] (2.48,2.72] (2.96,3.2]
## [86] (3.2,3.44] (2.96,3.2] (2.24,2.48] (2.96,3.2] (2.48,2.72]
## [91] (2.48,2.72] (2.96,3.2] (2.48,2.72] (2.24,2.48] (2.48,2.72]
## [96] (2.96,3.2] (2.72,2.96] (2.72,2.96] (2.48,2.72] (2.72,2.96]
## [101] (3.2,3.44] (2.48,2.72] (2.96,3.2] (2.72,2.96] (2.96,3.2]
## [106] (2.96,3.2] (2.48,2.72] (2.72,2.96] (2.48,2.72] (3.44,3.68]
## [111] (2.96,3.2] (2.48,2.72] (2.96,3.2] (2.48,2.72] (2.72,2.96]
## [116] (2.96,3.2] (2.96,3.2] (3.68,3.92] (2.48,2.72] (2,2.24]
## [121] (2.96,3.2] (2.72,2.96] (2.72,2.96] (2.48,2.72] (3.2,3.44]
## [126] (2.96,3.2] (2.72,2.96] (2.96,3.2] (2.72,2.96] (2.96,3.2]
## [131] (2.72,2.96] (3.68,3.92] (2.72,2.96] (2.72,2.96] (2.48,2.72]
## [136] (2.96,3.2] (3.2,3.44] (2.96,3.2] (2.96,3.2] (2.96,3.2]
## [141] (2.96,3.2] (2.96,3.2] (2.48,2.72] (2.96,3.2] (3.2,3.44]
## [146] (2.96,3.2] (2.48,2.72] (2.96,3.2] (3.2,3.44] (2.96,3.2]
## 10 Levels: (2,2.24] (2.24,2.48] (2.48,2.72] (2.72,2.96] ... (4.16,4.4]
rep(c("a","b","c"),1:3)
## [1] "a" "b" "b" "c" "c" "c"
table(rep(c("a","b","c"),1:3))
##
## a b c
## 1 2 3
table(cut(iris$Sepal.Width, breaks=10))
##
## (2,2.24] (2.24,2.48] (2.48,2.72] (2.72,2.96] (2.96,3.2] (3.2,3.44]
## 4 7 22 24 50 18
## (3.44,3.68] (3.68,3.92] (3.92,4.16] (4.16,4.4]
## 10 11 2 2
pie(table(cut(iris$Sepal.Width, breaks=10)), cex=.7)
#모자이크 플롯(mosaicplot)
str(Titanic)
## table [1:4, 1:2, 1:2, 1:2] 0 0 35 0 0 0 17 0 118 154 ...
## - attr(*, "dimnames")=List of 4
## ..$ Class : chr [1:4] "1st" "2nd" "3rd" "Crew"
## ..$ Sex : chr [1:2] "Male" "Female"
## ..$ Age : chr [1:2] "Child" "Adult"
## ..$ Survived: chr [1:2] "No" "Yes"
Titanic
## , , Age = Child, Survived = No
##
## Sex
## Class Male Female
## 1st 0 0
## 2nd 0 0
## 3rd 35 17
## Crew 0 0
##
## , , Age = Adult, Survived = No
##
## Sex
## Class Male Female
## 1st 118 4
## 2nd 154 13
## 3rd 387 89
## Crew 670 3
##
## , , Age = Child, Survived = Yes
##
## Sex
## Class Male Female
## 1st 5 1
## 2nd 11 13
## 3rd 13 14
## Crew 0 0
##
## , , Age = Adult, Survived = Yes
##
## Sex
## Class Male Female
## 1st 57 140
## 2nd 14 80
## 3rd 75 76
## Crew 192 20
mosaicplot(Titanic, color=TRUE)
mosaicplot(~Class + Survived, data=Titanic, color=TRUE)
#산점도 행렬(pairs)
pairs(~Sepal.Width+Sepal.Length+Petal.Width+Petal.Length, data=iris, col=c("red","green","blue")[iris$Species])
levels(iris$Species)
## [1] "setosa" "versicolor" "virginica"
as.numeric(iris$Species)
## [1] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [36] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
## [71] 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3
## [106] 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
## [141] 3 3 3 3 3 3 3 3 3 3
#투시도(persp),등고선 그래프(contour)
outer(1:5,1:3,"+")
## [,1] [,2] [,3]
## [1,] 2 3 4
## [2,] 3 4 5
## [3,] 4 5 6
## [4,] 5 6 7
## [5,] 6 7 8
outer(1:5,1:3,function(x,y){x+y})
## [,1] [,2] [,3]
## [1,] 2 3 4
## [2,] 3 4 5
## [3,] 4 5 6
## [4,] 5 6 7
## [5,] 6 7 8
library(mvtnorm)
## Warning: package 'mvtnorm' was built under R version 3.3.3
dmvnorm(c(0,0),rep(0,2),diag(2))
## [1] 0.1591549
x <- seq(-3,3,.1)
y <- x
outer(x,y,function(x,y){ dmvnorm(cbind(x,y)) })
## [,1] [,2] [,3] [,4] [,5]
## [1,] 1.964128e-05 2.638072e-05 3.508008e-05 4.618400e-05 6.019766e-05
## [2,] 2.638072e-05 3.543264e-05 4.711698e-05 6.203095e-05 8.085306e-05
## [3,] 3.508008e-05 4.711698e-05 6.265437e-05 8.248640e-05 1.075153e-04
## [4,] 4.618400e-05 6.203095e-05 8.248640e-05 1.085959e-04 1.415472e-04
## [5,] 6.019766e-05 8.085306e-05 1.075153e-04 1.415472e-04 1.844971e-04
## [6,] 7.768277e-05 1.043378e-04 1.387444e-04 1.826613e-04 2.380864e-04
## [7,] 9.924916e-05 1.333042e-04 1.772628e-04 2.333719e-04 3.041842e-04
## [8,] 1.255411e-04 1.686176e-04 2.242213e-04 2.951942e-04 3.847653e-04
## [9,] 1.572180e-04 2.111637e-04 2.807974e-04 3.696784e-04 4.818503e-04
## [10,] 1.949286e-04 2.618138e-04 3.481500e-04 4.583502e-04 5.974278e-04
## [11,] 2.392798e-04 3.213830e-04 4.273629e-04 5.626363e-04 7.333576e-04
## [12,] 2.907993e-04 3.905803e-04 5.193788e-04 6.837781e-04 8.912576e-04
## [13,] 3.498951e-04 4.699534e-04 6.249262e-04 8.227345e-04 1.072378e-03
## [14,] 4.168113e-04 5.598302e-04 7.444409e-04 9.800793e-04 1.277466e-03
## [15,] 4.915843e-04 6.602599e-04 8.779885e-04 1.155899e-03 1.506634e-03
## [16,] 5.740024e-04 7.709577e-04 1.025190e-03 1.349694e-03 1.759234e-03
## [17,] 6.635694e-04 8.912576e-04 1.185161e-03 1.560300e-03 2.033744e-03
## [18,] 7.594796e-04 1.020077e-03 1.356460e-03 1.785821e-03 2.327694e-03
## [19,] 8.606032e-04 1.155899e-03 1.537070e-03 2.023600e-03 2.637623e-03
## [20,] 9.654878e-04 1.296772e-03 1.724398e-03 2.270223e-03 2.959079e-03
## [21,] 1.072378e-03 1.440339e-03 1.915308e-03 2.521561e-03 3.286681e-03
## [22,] 1.179249e-03 1.583881e-03 2.106185e-03 2.772857e-03 3.614228e-03
## [23,] 1.283869e-03 1.724398e-03 2.293039e-03 3.018857e-03 3.934871e-03
## [24,] 1.383862e-03 1.858702e-03 2.471631e-03 3.253978e-03 4.241336e-03
## [25,] 1.476801e-03 1.983530e-03 2.637623e-03 3.472512e-03 4.526180e-03
## [26,] 1.560300e-03 2.095680e-03 2.786756e-03 3.668850e-03 4.782093e-03
## [27,] 1.632117e-03 2.192140e-03 2.915024e-03 3.837719e-03 5.002202e-03
## [28,] 1.690253e-03 2.270223e-03 3.018857e-03 3.974418e-03 5.180379e-03
## [29,] 1.733042e-03 2.327694e-03 3.095280e-03 4.075030e-03 5.311521e-03
## [30,] 1.759234e-03 2.362873e-03 3.142059e-03 4.136617e-03 5.391794e-03
## [31,] 1.768052e-03 2.374717e-03 3.157808e-03 4.157351e-03 5.418821e-03
## [32,] 1.759234e-03 2.362873e-03 3.142059e-03 4.136617e-03 5.391794e-03
## [33,] 1.733042e-03 2.327694e-03 3.095280e-03 4.075030e-03 5.311521e-03
## [34,] 1.690253e-03 2.270223e-03 3.018857e-03 3.974418e-03 5.180379e-03
## [35,] 1.632117e-03 2.192140e-03 2.915024e-03 3.837719e-03 5.002202e-03
## [36,] 1.560300e-03 2.095680e-03 2.786756e-03 3.668850e-03 4.782093e-03
## [37,] 1.476801e-03 1.983530e-03 2.637623e-03 3.472512e-03 4.526180e-03
## [38,] 1.383862e-03 1.858702e-03 2.471631e-03 3.253978e-03 4.241336e-03
## [39,] 1.283869e-03 1.724398e-03 2.293039e-03 3.018857e-03 3.934871e-03
## [40,] 1.179249e-03 1.583881e-03 2.106185e-03 2.772857e-03 3.614228e-03
## [41,] 1.072378e-03 1.440339e-03 1.915308e-03 2.521561e-03 3.286681e-03
## [42,] 9.654878e-04 1.296772e-03 1.724398e-03 2.270223e-03 2.959079e-03
## [43,] 8.606032e-04 1.155899e-03 1.537070e-03 2.023600e-03 2.637623e-03
## [44,] 7.594796e-04 1.020077e-03 1.356460e-03 1.785821e-03 2.327694e-03
## [45,] 6.635694e-04 8.912576e-04 1.185161e-03 1.560300e-03 2.033744e-03
## [46,] 5.740024e-04 7.709577e-04 1.025190e-03 1.349694e-03 1.759234e-03
## [47,] 4.915843e-04 6.602599e-04 8.779885e-04 1.155899e-03 1.506634e-03
## [48,] 4.168113e-04 5.598302e-04 7.444409e-04 9.800793e-04 1.277466e-03
## [49,] 3.498951e-04 4.699534e-04 6.249262e-04 8.227345e-04 1.072378e-03
## [50,] 2.907993e-04 3.905803e-04 5.193788e-04 6.837781e-04 8.912576e-04
## [51,] 2.392798e-04 3.213830e-04 4.273629e-04 5.626363e-04 7.333576e-04
## [52,] 1.949286e-04 2.618138e-04 3.481500e-04 4.583502e-04 5.974278e-04
## [53,] 1.572180e-04 2.111637e-04 2.807974e-04 3.696784e-04 4.818503e-04
## [54,] 1.255411e-04 1.686176e-04 2.242213e-04 2.951942e-04 3.847653e-04
## [55,] 9.924916e-05 1.333042e-04 1.772628e-04 2.333719e-04 3.041842e-04
## [56,] 7.768277e-05 1.043378e-04 1.387444e-04 1.826613e-04 2.380864e-04
## [57,] 6.019766e-05 8.085306e-05 1.075153e-04 1.415472e-04 1.844971e-04
## [58,] 4.618400e-05 6.203095e-05 8.248640e-05 1.085959e-04 1.415472e-04
## [59,] 3.508008e-05 4.711698e-05 6.265437e-05 8.248640e-05 1.075153e-04
## [60,] 2.638072e-05 3.543264e-05 4.711698e-05 6.203095e-05 8.085306e-05
## [61,] 1.964128e-05 2.638072e-05 3.508008e-05 4.618400e-05 6.019766e-05
## [,6] [,7] [,8] [,9] [,10]
## [1,] 7.768277e-05 9.924916e-05 0.0001255411 0.0001572180 0.0001949286
## [2,] 1.043378e-04 1.333042e-04 0.0001686176 0.0002111637 0.0002618138
## [3,] 1.387444e-04 1.772628e-04 0.0002242213 0.0002807974 0.0003481500
## [4,] 1.826613e-04 2.333719e-04 0.0002951942 0.0003696784 0.0004583502
## [5,] 2.380864e-04 3.041842e-04 0.0003847653 0.0004818503 0.0005974278
## [6,] 3.072413e-04 3.925381e-04 0.0004965248 0.0006218093 0.0007709577
## [7,] 3.925381e-04 5.015150e-04 0.0006343707 0.0007944368 0.0009849920
## [8,] 4.965248e-04 6.343707e-04 0.0008024211 0.0010048901 0.0012459250
## [9,] 6.218093e-04 7.944368e-04 0.0010048901 0.0012584467 0.0015603002
## [10,] 7.709577e-04 9.849920e-04 0.0012459250 0.0015603002 0.0019345567
## [11,] 9.463699e-04 1.209102e-03 0.0015294041 0.0019153076 0.0023747169
## [12,] 1.150134e-03 1.469435e-03 0.0018587017 0.0023276943 0.0028860195
## [13,] 1.383862e-03 1.768052e-03 0.0022364241 0.0028007247 0.0034725119
## [14,] 1.648520e-03 2.106185e-03 0.0026641318 0.0033363527 0.0041366166
## [15,] 1.944254e-03 2.484020e-03 0.0031420587 0.0039348714 0.0048786972
## [16,] 2.270223e-03 2.900486e-03 0.0036688498 0.0045945840 0.0056966496
## [17,] 2.624468e-03 3.353076e-03 0.0042413356 0.0053115209 0.0065855524
## [18,] 3.003800e-03 3.837719e-03 0.0048543646 0.0060792310 0.0075374069
## [19,] 3.403752e-03 4.348705e-03 0.0055007157 0.0068886712 0.0085410010
## [20,] 3.818578e-03 4.878697e-03 0.0061711068 0.0077282173 0.0095819221
## [21,] 4.241336e-03 5.418821e-03 0.0068543138 0.0085838129 0.0106427426
## [22,] 4.664022e-03 5.958854e-03 0.0075374069 0.0094392659 0.0117033861
## [23,] 5.077801e-03 6.487506e-03 0.0082061035 0.0102766899 0.0127416762
## [24,] 5.473281e-03 6.992780e-03 0.0088452290 0.0110770812 0.0137340508
## [25,] 5.840861e-03 7.462408e-03 0.0094392659 0.0118210071 0.0146564163
## [26,] 6.171107e-03 7.884338e-03 0.0099729678 0.0124893741 0.0154850991
## [27,] 6.455150e-03 8.247237e-03 0.0104320022 0.0130642333 0.0161978451
## [28,] 6.685080e-03 8.541001e-03 0.0108035870 0.0135295775 0.0167748076
## [29,] 6.854314e-03 8.757217e-03 0.0110770812 0.0138720804 0.0171994639
## [30,] 6.957904e-03 8.889566e-03 0.0112444898 0.0140817300 0.0174594005
## [31,] 6.992780e-03 8.934125e-03 0.0113008530 0.0141523150 0.0175469161
## [32,] 6.957904e-03 8.889566e-03 0.0112444898 0.0140817300 0.0174594005
## [33,] 6.854314e-03 8.757217e-03 0.0110770812 0.0138720804 0.0171994639
## [34,] 6.685080e-03 8.541001e-03 0.0108035870 0.0135295775 0.0167748076
## [35,] 6.455150e-03 8.247237e-03 0.0104320022 0.0130642333 0.0161978451
## [36,] 6.171107e-03 7.884338e-03 0.0099729678 0.0124893741 0.0154850991
## [37,] 5.840861e-03 7.462408e-03 0.0094392659 0.0118210071 0.0146564163
## [38,] 5.473281e-03 6.992780e-03 0.0088452290 0.0110770812 0.0137340508
## [39,] 5.077801e-03 6.487506e-03 0.0082061035 0.0102766899 0.0127416762
## [40,] 4.664022e-03 5.958854e-03 0.0075374069 0.0094392659 0.0117033861
## [41,] 4.241336e-03 5.418821e-03 0.0068543138 0.0085838129 0.0106427426
## [42,] 3.818578e-03 4.878697e-03 0.0061711068 0.0077282173 0.0095819221
## [43,] 3.403752e-03 4.348705e-03 0.0055007157 0.0068886712 0.0085410010
## [44,] 3.003800e-03 3.837719e-03 0.0048543646 0.0060792310 0.0075374069
## [45,] 2.624468e-03 3.353076e-03 0.0042413356 0.0053115209 0.0065855524
## [46,] 2.270223e-03 2.900486e-03 0.0036688498 0.0045945840 0.0056966496
## [47,] 1.944254e-03 2.484020e-03 0.0031420587 0.0039348714 0.0048786972
## [48,] 1.648520e-03 2.106185e-03 0.0026641318 0.0033363527 0.0041366166
## [49,] 1.383862e-03 1.768052e-03 0.0022364241 0.0028007247 0.0034725119
## [50,] 1.150134e-03 1.469435e-03 0.0018587017 0.0023276943 0.0028860195
## [51,] 9.463699e-04 1.209102e-03 0.0015294041 0.0019153076 0.0023747169
## [52,] 7.709577e-04 9.849920e-04 0.0012459250 0.0015603002 0.0019345567
## [53,] 6.218093e-04 7.944368e-04 0.0010048901 0.0012584467 0.0015603002
## [54,] 4.965248e-04 6.343707e-04 0.0008024211 0.0010048901 0.0012459250
## [55,] 3.925381e-04 5.015150e-04 0.0006343707 0.0007944368 0.0009849920
## [56,] 3.072413e-04 3.925381e-04 0.0004965248 0.0006218093 0.0007709577
## [57,] 2.380864e-04 3.041842e-04 0.0003847653 0.0004818503 0.0005974278
## [58,] 1.826613e-04 2.333719e-04 0.0002951942 0.0003696784 0.0004583502
## [59,] 1.387444e-04 1.772628e-04 0.0002242213 0.0002807974 0.0003481500
## [60,] 1.043378e-04 1.333042e-04 0.0001686176 0.0002111637 0.0002618138
## [61,] 7.768277e-05 9.924916e-05 0.0001255411 0.0001572180 0.0001949286
## [,11] [,12] [,13] [,14] [,15]
## [1,] 0.0002392798 0.0002907993 0.0003498951 0.0004168113 0.0004915843
## [2,] 0.0003213830 0.0003905803 0.0004699534 0.0005598302 0.0006602599
## [3,] 0.0004273629 0.0005193788 0.0006249262 0.0007444409 0.0008779885
## [4,] 0.0005626363 0.0006837781 0.0008227345 0.0009800793 0.0011558988
## [5,] 0.0007333576 0.0008912576 0.0010723776 0.0012774657 0.0015066343
## [6,] 0.0009463699 0.0011501337 0.0013838621 0.0016485205 0.0019442537
## [7,] 0.0012091023 0.0014694354 0.0017680517 0.0021061849 0.0024840200
## [8,] 0.0015294041 0.0018587017 0.0022364241 0.0026641318 0.0031420587
## [9,] 0.0019153076 0.0023276943 0.0028007247 0.0033363527 0.0039348714
## [10,] 0.0023747169 0.0028860195 0.0034725119 0.0041366166 0.0048786972
## [11,] 0.0029150245 0.0035426613 0.0042625954 0.0050778006 0.0059887231
## [12,] 0.0035426613 0.0043054351 0.0051803790 0.0061711068 0.0072781609
## [13,] 0.0042625954 0.0051803790 0.0062331275 0.0074251895 0.0087572175
## [14,] 0.0050778006 0.0061711068 0.0074251895 0.0088452290 0.0104320022
## [15,] 0.0059887231 0.0072781609 0.0087572175 0.0104320022 0.0123034316
## [16,] 0.0069927802 0.0084984026 0.0102254347 0.0121810104 0.0143661998
## [17,] 0.0080839306 0.0098244897 0.0118210071 0.0140817300 0.0166078955
## [18,] 0.0092523559 0.0112444898 0.0135295775 0.0161170580 0.0190083473
## [19,] 0.0104842928 0.0127416762 0.0153310198 0.0182630193 0.0215392793
## [20,] 0.0117620496 0.0142945481 0.0171994639 0.0204887963 0.0241643453
## [21,] 0.0130642333 0.0158771062 0.0191036270 0.0227571234 0.0268395947
## [22,] 0.0143661998 0.0174594005 0.0210074726 0.0250250723 0.0295143980
## [23,] 0.0156407269 0.0190083473 0.0228711939 0.0272452233 0.0321328288
## [24,] 0.0168588917 0.0204887963 0.0246524975 0.0293671943 0.0346354669
## [25,] 0.0179911184 0.0218648038 0.0263081351 0.0313394665 0.0369615511
## [26,] 0.0190083473 0.0231010533 0.0277956133 0.0331114192 0.0390513799
## [27,] 0.0198832608 0.0241643453 0.0290749859 0.0346354669 0.0408488313
## [28,] 0.0205914968 0.0250250723 0.0301106284 0.0358691722 0.0423038548
## [29,] 0.0211127730 0.0256585850 0.0308728826 0.0367772046 0.0433747820
## [30,] 0.0214318517 0.0260463648 0.0313394665 0.0373330209 0.0440303079
## [31,] 0.0215392793 0.0261769228 0.0314965562 0.0375201534 0.0442510107
## [32,] 0.0214318517 0.0260463648 0.0313394665 0.0373330209 0.0440303079
## [33,] 0.0211127730 0.0256585850 0.0308728826 0.0367772046 0.0433747820
## [34,] 0.0205914968 0.0250250723 0.0301106284 0.0358691722 0.0423038548
## [35,] 0.0198832608 0.0241643453 0.0290749859 0.0346354669 0.0408488313
## [36,] 0.0190083473 0.0231010533 0.0277956133 0.0331114192 0.0390513799
## [37,] 0.0179911184 0.0218648038 0.0263081351 0.0313394665 0.0369615511
## [38,] 0.0168588917 0.0204887963 0.0246524975 0.0293671943 0.0346354669
## [39,] 0.0156407269 0.0190083473 0.0228711939 0.0272452233 0.0321328288
## [40,] 0.0143661998 0.0174594005 0.0210074726 0.0250250723 0.0295143980
## [41,] 0.0130642333 0.0158771062 0.0191036270 0.0227571234 0.0268395947
## [42,] 0.0117620496 0.0142945481 0.0171994639 0.0204887963 0.0241643453
## [43,] 0.0104842928 0.0127416762 0.0153310198 0.0182630193 0.0215392793
## [44,] 0.0092523559 0.0112444898 0.0135295775 0.0161170580 0.0190083473
## [45,] 0.0080839306 0.0098244897 0.0118210071 0.0140817300 0.0166078955
## [46,] 0.0069927802 0.0084984026 0.0102254347 0.0121810104 0.0143661998
## [47,] 0.0059887231 0.0072781609 0.0087572175 0.0104320022 0.0123034316
## [48,] 0.0050778006 0.0061711068 0.0074251895 0.0088452290 0.0104320022
## [49,] 0.0042625954 0.0051803790 0.0062331275 0.0074251895 0.0087572175
## [50,] 0.0035426613 0.0043054351 0.0051803790 0.0061711068 0.0072781609
## [51,] 0.0029150245 0.0035426613 0.0042625954 0.0050778006 0.0059887231
## [52,] 0.0023747169 0.0028860195 0.0034725119 0.0041366166 0.0048786972
## [53,] 0.0019153076 0.0023276943 0.0028007247 0.0033363527 0.0039348714
## [54,] 0.0015294041 0.0018587017 0.0022364241 0.0026641318 0.0031420587
## [55,] 0.0012091023 0.0014694354 0.0017680517 0.0021061849 0.0024840200
## [56,] 0.0009463699 0.0011501337 0.0013838621 0.0016485205 0.0019442537
## [57,] 0.0007333576 0.0008912576 0.0010723776 0.0012774657 0.0015066343
## [58,] 0.0005626363 0.0006837781 0.0008227345 0.0009800793 0.0011558988
## [59,] 0.0004273629 0.0005193788 0.0006249262 0.0007444409 0.0008779885
## [60,] 0.0003213830 0.0003905803 0.0004699534 0.0005598302 0.0006602599
## [61,] 0.0002392798 0.0002907993 0.0003498951 0.0004168113 0.0004915843
## [,16] [,17] [,18] [,19] [,20]
## [1,] 0.0005740024 0.0006635694 0.0007594796 0.0008606032 0.0009654878
## [2,] 0.0007709577 0.0008912576 0.0010200771 0.0011558988 0.0012967721
## [3,] 0.0010251903 0.0011851605 0.0013564598 0.0015370703 0.0017243984
## [4,] 0.0013496944 0.0015603002 0.0017858209 0.0020236002 0.0022702233
## [5,] 0.0017592335 0.0020337436 0.0023276943 0.0026376232 0.0029590794
## [6,] 0.0022702233 0.0026244680 0.0030038002 0.0034037515 0.0038185784
## [7,] 0.0029004857 0.0033530763 0.0038377191 0.0043487055 0.0048786972
## [8,] 0.0036688498 0.0042413356 0.0048543646 0.0055007157 0.0061711068
## [9,] 0.0045945840 0.0053115209 0.0060792310 0.0068886712 0.0077282173
## [10,] 0.0056966496 0.0065855524 0.0075374069 0.0085410010 0.0095819221
## [11,] 0.0069927802 0.0080839306 0.0092523559 0.0104842928 0.0117620496
## [12,] 0.0084984026 0.0098244897 0.0112444898 0.0127416762 0.0142945481
## [13,] 0.0102254347 0.0118210071 0.0135295775 0.0153310198 0.0171994639
## [14,] 0.0121810104 0.0140817300 0.0161170580 0.0182630193 0.0204887963
## [15,] 0.0143661998 0.0166078955 0.0190083473 0.0215392793 0.0241643453
## [16,] 0.0167748076 0.0193923414 0.0221952480 0.0251505110 0.0282156902
## [17,] 0.0193923414 0.0224183140 0.0256585850 0.0290749859 0.0326184544
## [18,] 0.0221952480 0.0256585850 0.0293671943 0.0332773908 0.0373330209
## [19,] 0.0251505110 0.0290749859 0.0332773908 0.0377082239 0.0423038548
## [20,] 0.0282156902 0.0326184544 0.0373330209 0.0423038548 0.0474595710
## [21,] 0.0313394665 0.0362296633 0.0414661824 0.0469873404 0.0527138491
## [22,] 0.0344627218 0.0398402701 0.0455986546 0.0516700450 0.0579672510
## [23,] 0.0375201534 0.0433747820 0.0496440335 0.0562540598 0.0631099354
## [24,] 0.0404423787 0.0467529901 0.0535105169 0.0606353595 0.0680251992
## [25,] 0.0431584494 0.0498928753 0.0571042310 0.0647075711 0.0725937052
## [26,] 0.0455986546 0.0527138491 0.0603329394 0.0683661769 0.0766981979
## [27,] 0.0476974631 0.0551401548 0.0631099354 0.0715129257 0.0802284518
## [28,] 0.0493964329 0.0571042310 0.0653578930 0.0740601953 0.0830861659
## [29,] 0.0506469095 0.0585498315 0.0670124359 0.0759350381 0.0851895022
## [30,] 0.0514123395 0.0594346989 0.0680251992 0.0770826492 0.0864769766
## [31,] 0.0516700450 0.0597326166 0.0683661769 0.0774690276 0.0869104443
## [32,] 0.0514123395 0.0594346989 0.0680251992 0.0770826492 0.0864769766
## [33,] 0.0506469095 0.0585498315 0.0670124359 0.0759350381 0.0851895022
## [34,] 0.0493964329 0.0571042310 0.0653578930 0.0740601953 0.0830861659
## [35,] 0.0476974631 0.0551401548 0.0631099354 0.0715129257 0.0802284518
## [36,] 0.0455986546 0.0527138491 0.0603329394 0.0683661769 0.0766981979
## [37,] 0.0431584494 0.0498928753 0.0571042310 0.0647075711 0.0725937052
## [38,] 0.0404423787 0.0467529901 0.0535105169 0.0606353595 0.0680251992
## [39,] 0.0375201534 0.0433747820 0.0496440335 0.0562540598 0.0631099354
## [40,] 0.0344627218 0.0398402701 0.0455986546 0.0516700450 0.0579672510
## [41,] 0.0313394665 0.0362296633 0.0414661824 0.0469873404 0.0527138491
## [42,] 0.0282156902 0.0326184544 0.0373330209 0.0423038548 0.0474595710
## [43,] 0.0251505110 0.0290749859 0.0332773908 0.0377082239 0.0423038548
## [44,] 0.0221952480 0.0256585850 0.0293671943 0.0332773908 0.0373330209
## [45,] 0.0193923414 0.0224183140 0.0256585850 0.0290749859 0.0326184544
## [46,] 0.0167748076 0.0193923414 0.0221952480 0.0251505110 0.0282156902
## [47,] 0.0143661998 0.0166078955 0.0190083473 0.0215392793 0.0241643453
## [48,] 0.0121810104 0.0140817300 0.0161170580 0.0182630193 0.0204887963
## [49,] 0.0102254347 0.0118210071 0.0135295775 0.0153310198 0.0171994639
## [50,] 0.0084984026 0.0098244897 0.0112444898 0.0127416762 0.0142945481
## [51,] 0.0069927802 0.0080839306 0.0092523559 0.0104842928 0.0117620496
## [52,] 0.0056966496 0.0065855524 0.0075374069 0.0085410010 0.0095819221
## [53,] 0.0045945840 0.0053115209 0.0060792310 0.0068886712 0.0077282173
## [54,] 0.0036688498 0.0042413356 0.0048543646 0.0055007157 0.0061711068
## [55,] 0.0029004857 0.0033530763 0.0038377191 0.0043487055 0.0048786972
## [56,] 0.0022702233 0.0026244680 0.0030038002 0.0034037515 0.0038185784
## [57,] 0.0017592335 0.0020337436 0.0023276943 0.0026376232 0.0029590794
## [58,] 0.0013496944 0.0015603002 0.0017858209 0.0020236002 0.0022702233
## [59,] 0.0010251903 0.0011851605 0.0013564598 0.0015370703 0.0017243984
## [60,] 0.0007709577 0.0008912576 0.0010200771 0.0011558988 0.0012967721
## [61,] 0.0005740024 0.0006635694 0.0007594796 0.0008606032 0.0009654878
## [,21] [,22] [,23] [,24] [,25]
## [1,] 0.001072378 0.001179249 0.001283869 0.001383862 0.001476801
## [2,] 0.001440339 0.001583881 0.001724398 0.001858702 0.001983530
## [3,] 0.001915308 0.002106185 0.002293039 0.002471631 0.002637623
## [4,] 0.002521561 0.002772857 0.003018857 0.003253978 0.003472512
## [5,] 0.003286681 0.003614228 0.003934871 0.004241336 0.004526180
## [6,] 0.004241336 0.004664022 0.005077801 0.005473281 0.005840861
## [7,] 0.005418821 0.005958854 0.006487506 0.006992780 0.007462408
## [8,] 0.006854314 0.007537407 0.008206104 0.008845229 0.009439266
## [9,] 0.008583813 0.009439266 0.010276690 0.011077081 0.011821007
## [10,] 0.010642743 0.011703386 0.012741676 0.013734051 0.014656416
## [11,] 0.013064233 0.014366200 0.015640727 0.016858892 0.017991118
## [12,] 0.015877106 0.017459400 0.019008347 0.020488796 0.021864804
## [13,] 0.019103627 0.021007473 0.022871194 0.024652497 0.026308135
## [14,] 0.022757123 0.025025072 0.027245223 0.029367194 0.031339466
## [15,] 0.026839595 0.029514398 0.032132829 0.034635467 0.036961551
## [16,] 0.031339466 0.034462722 0.037520153 0.040442379 0.043158449
## [17,] 0.036229663 0.039840270 0.043374782 0.046752990 0.049892875
## [18,] 0.041466182 0.045598655 0.049644034 0.053510517 0.057104231
## [19,] 0.046987340 0.051670045 0.056254060 0.060635359 0.064707571
## [20,] 0.052713849 0.057967251 0.063109935 0.068025199 0.072593705
## [21,] 0.058549832 0.064384841 0.070096875 0.075556310 0.080630599
## [22,] 0.064384841 0.070801360 0.077082649 0.083086166 0.088666152
## [23,] 0.070096875 0.077082649 0.083921196 0.090457327 0.096532353
## [24,] 0.075556310 0.083086166 0.090457327 0.097502519 0.104050693
## [25,] 0.080630599 0.088666152 0.096532353 0.104050693 0.111038636
## [26,] 0.085189502 0.093679390 0.101990351 0.109933783 0.117316829
## [27,] 0.089110593 0.097991252 0.106684749 0.114993800 0.122716671
## [28,] 0.092284686 0.101481672 0.110484828 0.119089846 0.127087803
## [29,] 0.094620884 0.104050693 0.113281765 0.122104619 0.130305046
## [30,] 0.096050896 0.105623218 0.114993800 0.123949994 0.132274355
## [31,] 0.096532353 0.106152656 0.115570209 0.124571296 0.132937383
## [32,] 0.096050896 0.105623218 0.114993800 0.123949994 0.132274355
## [33,] 0.094620884 0.104050693 0.113281765 0.122104619 0.130305046
## [34,] 0.092284686 0.101481672 0.110484828 0.119089846 0.127087803
## [35,] 0.089110593 0.097991252 0.106684749 0.114993800 0.122716671
## [36,] 0.085189502 0.093679390 0.101990351 0.109933783 0.117316829
## [37,] 0.080630599 0.088666152 0.096532353 0.104050693 0.111038636
## [38,] 0.075556310 0.083086166 0.090457327 0.097502519 0.104050693
## [39,] 0.070096875 0.077082649 0.083921196 0.090457327 0.096532353
## [40,] 0.064384841 0.070801360 0.077082649 0.083086166 0.088666152
## [41,] 0.058549832 0.064384841 0.070096875 0.075556310 0.080630599
## [42,] 0.052713849 0.057967251 0.063109935 0.068025199 0.072593705
## [43,] 0.046987340 0.051670045 0.056254060 0.060635359 0.064707571
## [44,] 0.041466182 0.045598655 0.049644034 0.053510517 0.057104231
## [45,] 0.036229663 0.039840270 0.043374782 0.046752990 0.049892875
## [46,] 0.031339466 0.034462722 0.037520153 0.040442379 0.043158449
## [47,] 0.026839595 0.029514398 0.032132829 0.034635467 0.036961551
## [48,] 0.022757123 0.025025072 0.027245223 0.029367194 0.031339466
## [49,] 0.019103627 0.021007473 0.022871194 0.024652497 0.026308135
## [50,] 0.015877106 0.017459400 0.019008347 0.020488796 0.021864804
## [51,] 0.013064233 0.014366200 0.015640727 0.016858892 0.017991118
## [52,] 0.010642743 0.011703386 0.012741676 0.013734051 0.014656416
## [53,] 0.008583813 0.009439266 0.010276690 0.011077081 0.011821007
## [54,] 0.006854314 0.007537407 0.008206104 0.008845229 0.009439266
## [55,] 0.005418821 0.005958854 0.006487506 0.006992780 0.007462408
## [56,] 0.004241336 0.004664022 0.005077801 0.005473281 0.005840861
## [57,] 0.003286681 0.003614228 0.003934871 0.004241336 0.004526180
## [58,] 0.002521561 0.002772857 0.003018857 0.003253978 0.003472512
## [59,] 0.001915308 0.002106185 0.002293039 0.002471631 0.002637623
## [60,] 0.001440339 0.001583881 0.001724398 0.001858702 0.001983530
## [61,] 0.001072378 0.001179249 0.001283869 0.001383862 0.001476801
## [,26] [,27] [,28] [,29] [,30]
## [1,] 0.001560300 0.001632117 0.001690253 0.001733042 0.001759234
## [2,] 0.002095680 0.002192140 0.002270223 0.002327694 0.002362873
## [3,] 0.002786756 0.002915024 0.003018857 0.003095280 0.003142059
## [4,] 0.003668850 0.003837719 0.003974418 0.004075030 0.004136617
## [5,] 0.004782093 0.005002202 0.005180379 0.005311521 0.005391794
## [6,] 0.006171107 0.006455150 0.006685080 0.006854314 0.006957904
## [7,] 0.007884338 0.008247237 0.008541001 0.008757217 0.008889566
## [8,] 0.009972968 0.010432002 0.010803587 0.011077081 0.011244490
## [9,] 0.012489374 0.013064233 0.013529577 0.013872080 0.014081730
## [10,] 0.015485099 0.016197845 0.016774808 0.017199464 0.017459400
## [11,] 0.019008347 0.019883261 0.020591497 0.021112773 0.021431852
## [12,] 0.023101053 0.024164345 0.025025072 0.025658585 0.026046365
## [13,] 0.027795613 0.029074986 0.030110628 0.030872883 0.031339466
## [14,] 0.033111419 0.034635467 0.035869172 0.036777205 0.037333021
## [15,] 0.039051380 0.040848831 0.042303855 0.043374782 0.044030308
## [16,] 0.045598655 0.047697463 0.049396433 0.050646910 0.051412340
## [17,] 0.052713849 0.055140155 0.057104231 0.058549832 0.059434699
## [18,] 0.060332939 0.063109935 0.065357893 0.067012436 0.068025199
## [19,] 0.068366177 0.071512926 0.074060195 0.075935038 0.077082649
## [20,] 0.076698198 0.080228452 0.083086166 0.085189502 0.086476977
## [21,] 0.085189502 0.089110593 0.092284686 0.094620884 0.096050896
## [22,] 0.093679390 0.097991252 0.101481672 0.104050693 0.105623218
## [23,] 0.101990351 0.106684749 0.110484828 0.113281765 0.114993800
## [24,] 0.109933783 0.114993800 0.119089846 0.122104619 0.123949994
## [25,] 0.117316829 0.122716671 0.127087803 0.130305046 0.132274355
## [26,] 0.123949994 0.129655147 0.134273426 0.137672574 0.139753228
## [27,] 0.129655147 0.135622896 0.140453744 0.144009348 0.146185770
## [28,] 0.134273426 0.140453744 0.145456666 0.149138919 0.151392865
## [29,] 0.137672574 0.144009348 0.149138919 0.152914389 0.155225394
## [30,] 0.139753228 0.146185770 0.151392865 0.155225394 0.157571325
## [31,] 0.140453744 0.146918530 0.152151725 0.156003464 0.158361155
## [32,] 0.139753228 0.146185770 0.151392865 0.155225394 0.157571325
## [33,] 0.137672574 0.144009348 0.149138919 0.152914389 0.155225394
## [34,] 0.134273426 0.140453744 0.145456666 0.149138919 0.151392865
## [35,] 0.129655147 0.135622896 0.140453744 0.144009348 0.146185770
## [36,] 0.123949994 0.129655147 0.134273426 0.137672574 0.139753228
## [37,] 0.117316829 0.122716671 0.127087803 0.130305046 0.132274355
## [38,] 0.109933783 0.114993800 0.119089846 0.122104619 0.123949994
## [39,] 0.101990351 0.106684749 0.110484828 0.113281765 0.114993800
## [40,] 0.093679390 0.097991252 0.101481672 0.104050693 0.105623218
## [41,] 0.085189502 0.089110593 0.092284686 0.094620884 0.096050896
## [42,] 0.076698198 0.080228452 0.083086166 0.085189502 0.086476977
## [43,] 0.068366177 0.071512926 0.074060195 0.075935038 0.077082649
## [44,] 0.060332939 0.063109935 0.065357893 0.067012436 0.068025199
## [45,] 0.052713849 0.055140155 0.057104231 0.058549832 0.059434699
## [46,] 0.045598655 0.047697463 0.049396433 0.050646910 0.051412340
## [47,] 0.039051380 0.040848831 0.042303855 0.043374782 0.044030308
## [48,] 0.033111419 0.034635467 0.035869172 0.036777205 0.037333021
## [49,] 0.027795613 0.029074986 0.030110628 0.030872883 0.031339466
## [50,] 0.023101053 0.024164345 0.025025072 0.025658585 0.026046365
## [51,] 0.019008347 0.019883261 0.020591497 0.021112773 0.021431852
## [52,] 0.015485099 0.016197845 0.016774808 0.017199464 0.017459400
## [53,] 0.012489374 0.013064233 0.013529577 0.013872080 0.014081730
## [54,] 0.009972968 0.010432002 0.010803587 0.011077081 0.011244490
## [55,] 0.007884338 0.008247237 0.008541001 0.008757217 0.008889566
## [56,] 0.006171107 0.006455150 0.006685080 0.006854314 0.006957904
## [57,] 0.004782093 0.005002202 0.005180379 0.005311521 0.005391794
## [58,] 0.003668850 0.003837719 0.003974418 0.004075030 0.004136617
## [59,] 0.002786756 0.002915024 0.003018857 0.003095280 0.003142059
## [60,] 0.002095680 0.002192140 0.002270223 0.002327694 0.002362873
## [61,] 0.001560300 0.001632117 0.001690253 0.001733042 0.001759234
## [,31] [,32] [,33] [,34] [,35]
## [1,] 0.001768052 0.001759234 0.001733042 0.001690253 0.001632117
## [2,] 0.002374717 0.002362873 0.002327694 0.002270223 0.002192140
## [3,] 0.003157808 0.003142059 0.003095280 0.003018857 0.002915024
## [4,] 0.004157351 0.004136617 0.004075030 0.003974418 0.003837719
## [5,] 0.005418821 0.005391794 0.005311521 0.005180379 0.005002202
## [6,] 0.006992780 0.006957904 0.006854314 0.006685080 0.006455150
## [7,] 0.008934125 0.008889566 0.008757217 0.008541001 0.008247237
## [8,] 0.011300853 0.011244490 0.011077081 0.010803587 0.010432002
## [9,] 0.014152315 0.014081730 0.013872080 0.013529577 0.013064233
## [10,] 0.017546916 0.017459400 0.017199464 0.016774808 0.016197845
## [11,] 0.021539279 0.021431852 0.021112773 0.020591497 0.019883261
## [12,] 0.026176923 0.026046365 0.025658585 0.025025072 0.024164345
## [13,] 0.031496556 0.031339466 0.030872883 0.030110628 0.029074986
## [14,] 0.037520153 0.037333021 0.036777205 0.035869172 0.034635467
## [15,] 0.044251011 0.044030308 0.043374782 0.042303855 0.040848831
## [16,] 0.051670045 0.051412340 0.050646910 0.049396433 0.047697463
## [17,] 0.059732617 0.059434699 0.058549832 0.057104231 0.055140155
## [18,] 0.068366177 0.068025199 0.067012436 0.065357893 0.063109935
## [19,] 0.077469028 0.077082649 0.075935038 0.074060195 0.071512926
## [20,] 0.086910444 0.086476977 0.085189502 0.083086166 0.080228452
## [21,] 0.096532353 0.096050896 0.094620884 0.092284686 0.089110593
## [22,] 0.106152656 0.105623218 0.104050693 0.101481672 0.097991252
## [23,] 0.115570209 0.114993800 0.113281765 0.110484828 0.106684749
## [24,] 0.124571296 0.123949994 0.122104619 0.119089846 0.114993800
## [25,] 0.132937383 0.132274355 0.130305046 0.127087803 0.122716671
## [26,] 0.140453744 0.139753228 0.137672574 0.134273426 0.129655147
## [27,] 0.146918530 0.146185770 0.144009348 0.140453744 0.135622896
## [28,] 0.152151725 0.151392865 0.149138919 0.145456666 0.140453744
## [29,] 0.156003464 0.155225394 0.152914389 0.149138919 0.144009348
## [30,] 0.158361155 0.157571325 0.155225394 0.151392865 0.146185770
## [31,] 0.159154943 0.158361155 0.156003464 0.152151725 0.146918530
## [32,] 0.158361155 0.157571325 0.155225394 0.151392865 0.146185770
## [33,] 0.156003464 0.155225394 0.152914389 0.149138919 0.144009348
## [34,] 0.152151725 0.151392865 0.149138919 0.145456666 0.140453744
## [35,] 0.146918530 0.146185770 0.144009348 0.140453744 0.135622896
## [36,] 0.140453744 0.139753228 0.137672574 0.134273426 0.129655147
## [37,] 0.132937383 0.132274355 0.130305046 0.127087803 0.122716671
## [38,] 0.124571296 0.123949994 0.122104619 0.119089846 0.114993800
## [39,] 0.115570209 0.114993800 0.113281765 0.110484828 0.106684749
## [40,] 0.106152656 0.105623218 0.104050693 0.101481672 0.097991252
## [41,] 0.096532353 0.096050896 0.094620884 0.092284686 0.089110593
## [42,] 0.086910444 0.086476977 0.085189502 0.083086166 0.080228452
## [43,] 0.077469028 0.077082649 0.075935038 0.074060195 0.071512926
## [44,] 0.068366177 0.068025199 0.067012436 0.065357893 0.063109935
## [45,] 0.059732617 0.059434699 0.058549832 0.057104231 0.055140155
## [46,] 0.051670045 0.051412340 0.050646910 0.049396433 0.047697463
## [47,] 0.044251011 0.044030308 0.043374782 0.042303855 0.040848831
## [48,] 0.037520153 0.037333021 0.036777205 0.035869172 0.034635467
## [49,] 0.031496556 0.031339466 0.030872883 0.030110628 0.029074986
## [50,] 0.026176923 0.026046365 0.025658585 0.025025072 0.024164345
## [51,] 0.021539279 0.021431852 0.021112773 0.020591497 0.019883261
## [52,] 0.017546916 0.017459400 0.017199464 0.016774808 0.016197845
## [53,] 0.014152315 0.014081730 0.013872080 0.013529577 0.013064233
## [54,] 0.011300853 0.011244490 0.011077081 0.010803587 0.010432002
## [55,] 0.008934125 0.008889566 0.008757217 0.008541001 0.008247237
## [56,] 0.006992780 0.006957904 0.006854314 0.006685080 0.006455150
## [57,] 0.005418821 0.005391794 0.005311521 0.005180379 0.005002202
## [58,] 0.004157351 0.004136617 0.004075030 0.003974418 0.003837719
## [59,] 0.003157808 0.003142059 0.003095280 0.003018857 0.002915024
## [60,] 0.002374717 0.002362873 0.002327694 0.002270223 0.002192140
## [61,] 0.001768052 0.001759234 0.001733042 0.001690253 0.001632117
## [,36] [,37] [,38] [,39] [,40]
## [1,] 0.001560300 0.001476801 0.001383862 0.001283869 0.001179249
## [2,] 0.002095680 0.001983530 0.001858702 0.001724398 0.001583881
## [3,] 0.002786756 0.002637623 0.002471631 0.002293039 0.002106185
## [4,] 0.003668850 0.003472512 0.003253978 0.003018857 0.002772857
## [5,] 0.004782093 0.004526180 0.004241336 0.003934871 0.003614228
## [6,] 0.006171107 0.005840861 0.005473281 0.005077801 0.004664022
## [7,] 0.007884338 0.007462408 0.006992780 0.006487506 0.005958854
## [8,] 0.009972968 0.009439266 0.008845229 0.008206104 0.007537407
## [9,] 0.012489374 0.011821007 0.011077081 0.010276690 0.009439266
## [10,] 0.015485099 0.014656416 0.013734051 0.012741676 0.011703386
## [11,] 0.019008347 0.017991118 0.016858892 0.015640727 0.014366200
## [12,] 0.023101053 0.021864804 0.020488796 0.019008347 0.017459400
## [13,] 0.027795613 0.026308135 0.024652497 0.022871194 0.021007473
## [14,] 0.033111419 0.031339466 0.029367194 0.027245223 0.025025072
## [15,] 0.039051380 0.036961551 0.034635467 0.032132829 0.029514398
## [16,] 0.045598655 0.043158449 0.040442379 0.037520153 0.034462722
## [17,] 0.052713849 0.049892875 0.046752990 0.043374782 0.039840270
## [18,] 0.060332939 0.057104231 0.053510517 0.049644034 0.045598655
## [19,] 0.068366177 0.064707571 0.060635359 0.056254060 0.051670045
## [20,] 0.076698198 0.072593705 0.068025199 0.063109935 0.057967251
## [21,] 0.085189502 0.080630599 0.075556310 0.070096875 0.064384841
## [22,] 0.093679390 0.088666152 0.083086166 0.077082649 0.070801360
## [23,] 0.101990351 0.096532353 0.090457327 0.083921196 0.077082649
## [24,] 0.109933783 0.104050693 0.097502519 0.090457327 0.083086166
## [25,] 0.117316829 0.111038636 0.104050693 0.096532353 0.088666152
## [26,] 0.123949994 0.117316829 0.109933783 0.101990351 0.093679390
## [27,] 0.129655147 0.122716671 0.114993800 0.106684749 0.097991252
## [28,] 0.134273426 0.127087803 0.119089846 0.110484828 0.101481672
## [29,] 0.137672574 0.130305046 0.122104619 0.113281765 0.104050693
## [30,] 0.139753228 0.132274355 0.123949994 0.114993800 0.105623218
## [31,] 0.140453744 0.132937383 0.124571296 0.115570209 0.106152656
## [32,] 0.139753228 0.132274355 0.123949994 0.114993800 0.105623218
## [33,] 0.137672574 0.130305046 0.122104619 0.113281765 0.104050693
## [34,] 0.134273426 0.127087803 0.119089846 0.110484828 0.101481672
## [35,] 0.129655147 0.122716671 0.114993800 0.106684749 0.097991252
## [36,] 0.123949994 0.117316829 0.109933783 0.101990351 0.093679390
## [37,] 0.117316829 0.111038636 0.104050693 0.096532353 0.088666152
## [38,] 0.109933783 0.104050693 0.097502519 0.090457327 0.083086166
## [39,] 0.101990351 0.096532353 0.090457327 0.083921196 0.077082649
## [40,] 0.093679390 0.088666152 0.083086166 0.077082649 0.070801360
## [41,] 0.085189502 0.080630599 0.075556310 0.070096875 0.064384841
## [42,] 0.076698198 0.072593705 0.068025199 0.063109935 0.057967251
## [43,] 0.068366177 0.064707571 0.060635359 0.056254060 0.051670045
## [44,] 0.060332939 0.057104231 0.053510517 0.049644034 0.045598655
## [45,] 0.052713849 0.049892875 0.046752990 0.043374782 0.039840270
## [46,] 0.045598655 0.043158449 0.040442379 0.037520153 0.034462722
## [47,] 0.039051380 0.036961551 0.034635467 0.032132829 0.029514398
## [48,] 0.033111419 0.031339466 0.029367194 0.027245223 0.025025072
## [49,] 0.027795613 0.026308135 0.024652497 0.022871194 0.021007473
## [50,] 0.023101053 0.021864804 0.020488796 0.019008347 0.017459400
## [51,] 0.019008347 0.017991118 0.016858892 0.015640727 0.014366200
## [52,] 0.015485099 0.014656416 0.013734051 0.012741676 0.011703386
## [53,] 0.012489374 0.011821007 0.011077081 0.010276690 0.009439266
## [54,] 0.009972968 0.009439266 0.008845229 0.008206104 0.007537407
## [55,] 0.007884338 0.007462408 0.006992780 0.006487506 0.005958854
## [56,] 0.006171107 0.005840861 0.005473281 0.005077801 0.004664022
## [57,] 0.004782093 0.004526180 0.004241336 0.003934871 0.003614228
## [58,] 0.003668850 0.003472512 0.003253978 0.003018857 0.002772857
## [59,] 0.002786756 0.002637623 0.002471631 0.002293039 0.002106185
## [60,] 0.002095680 0.001983530 0.001858702 0.001724398 0.001583881
## [61,] 0.001560300 0.001476801 0.001383862 0.001283869 0.001179249
## [,41] [,42] [,43] [,44] [,45]
## [1,] 0.001072378 0.0009654878 0.0008606032 0.0007594796 0.0006635694
## [2,] 0.001440339 0.0012967721 0.0011558988 0.0010200771 0.0008912576
## [3,] 0.001915308 0.0017243984 0.0015370703 0.0013564598 0.0011851605
## [4,] 0.002521561 0.0022702233 0.0020236002 0.0017858209 0.0015603002
## [5,] 0.003286681 0.0029590794 0.0026376232 0.0023276943 0.0020337436
## [6,] 0.004241336 0.0038185784 0.0034037515 0.0030038002 0.0026244680
## [7,] 0.005418821 0.0048786972 0.0043487055 0.0038377191 0.0033530763
## [8,] 0.006854314 0.0061711068 0.0055007157 0.0048543646 0.0042413356
## [9,] 0.008583813 0.0077282173 0.0068886712 0.0060792310 0.0053115209
## [10,] 0.010642743 0.0095819221 0.0085410010 0.0075374069 0.0065855524
## [11,] 0.013064233 0.0117620496 0.0104842928 0.0092523559 0.0080839306
## [12,] 0.015877106 0.0142945481 0.0127416762 0.0112444898 0.0098244897
## [13,] 0.019103627 0.0171994639 0.0153310198 0.0135295775 0.0118210071
## [14,] 0.022757123 0.0204887963 0.0182630193 0.0161170580 0.0140817300
## [15,] 0.026839595 0.0241643453 0.0215392793 0.0190083473 0.0166078955
## [16,] 0.031339466 0.0282156902 0.0251505110 0.0221952480 0.0193923414
## [17,] 0.036229663 0.0326184544 0.0290749859 0.0256585850 0.0224183140
## [18,] 0.041466182 0.0373330209 0.0332773908 0.0293671943 0.0256585850
## [19,] 0.046987340 0.0423038548 0.0377082239 0.0332773908 0.0290749859
## [20,] 0.052713849 0.0474595710 0.0423038548 0.0373330209 0.0326184544
## [21,] 0.058549832 0.0527138491 0.0469873404 0.0414661824 0.0362296633
## [22,] 0.064384841 0.0579672510 0.0516700450 0.0455986546 0.0398402701
## [23,] 0.070096875 0.0631099354 0.0562540598 0.0496440335 0.0433747820
## [24,] 0.075556310 0.0680251992 0.0606353595 0.0535105169 0.0467529901
## [25,] 0.080630599 0.0725937052 0.0647075711 0.0571042310 0.0498928753
## [26,] 0.085189502 0.0766981979 0.0683661769 0.0603329394 0.0527138491
## [27,] 0.089110593 0.0802284518 0.0715129257 0.0631099354 0.0551401548
## [28,] 0.092284686 0.0830861659 0.0740601953 0.0653578930 0.0571042310
## [29,] 0.094620884 0.0851895022 0.0759350381 0.0670124359 0.0585498315
## [30,] 0.096050896 0.0864769766 0.0770826492 0.0680251992 0.0594346989
## [31,] 0.096532353 0.0869104443 0.0774690276 0.0683661769 0.0597326166
## [32,] 0.096050896 0.0864769766 0.0770826492 0.0680251992 0.0594346989
## [33,] 0.094620884 0.0851895022 0.0759350381 0.0670124359 0.0585498315
## [34,] 0.092284686 0.0830861659 0.0740601953 0.0653578930 0.0571042310
## [35,] 0.089110593 0.0802284518 0.0715129257 0.0631099354 0.0551401548
## [36,] 0.085189502 0.0766981979 0.0683661769 0.0603329394 0.0527138491
## [37,] 0.080630599 0.0725937052 0.0647075711 0.0571042310 0.0498928753
## [38,] 0.075556310 0.0680251992 0.0606353595 0.0535105169 0.0467529901
## [39,] 0.070096875 0.0631099354 0.0562540598 0.0496440335 0.0433747820
## [40,] 0.064384841 0.0579672510 0.0516700450 0.0455986546 0.0398402701
## [41,] 0.058549832 0.0527138491 0.0469873404 0.0414661824 0.0362296633
## [42,] 0.052713849 0.0474595710 0.0423038548 0.0373330209 0.0326184544
## [43,] 0.046987340 0.0423038548 0.0377082239 0.0332773908 0.0290749859
## [44,] 0.041466182 0.0373330209 0.0332773908 0.0293671943 0.0256585850
## [45,] 0.036229663 0.0326184544 0.0290749859 0.0256585850 0.0224183140
## [46,] 0.031339466 0.0282156902 0.0251505110 0.0221952480 0.0193923414
## [47,] 0.026839595 0.0241643453 0.0215392793 0.0190083473 0.0166078955
## [48,] 0.022757123 0.0204887963 0.0182630193 0.0161170580 0.0140817300
## [49,] 0.019103627 0.0171994639 0.0153310198 0.0135295775 0.0118210071
## [50,] 0.015877106 0.0142945481 0.0127416762 0.0112444898 0.0098244897
## [51,] 0.013064233 0.0117620496 0.0104842928 0.0092523559 0.0080839306
## [52,] 0.010642743 0.0095819221 0.0085410010 0.0075374069 0.0065855524
## [53,] 0.008583813 0.0077282173 0.0068886712 0.0060792310 0.0053115209
## [54,] 0.006854314 0.0061711068 0.0055007157 0.0048543646 0.0042413356
## [55,] 0.005418821 0.0048786972 0.0043487055 0.0038377191 0.0033530763
## [56,] 0.004241336 0.0038185784 0.0034037515 0.0030038002 0.0026244680
## [57,] 0.003286681 0.0029590794 0.0026376232 0.0023276943 0.0020337436
## [58,] 0.002521561 0.0022702233 0.0020236002 0.0017858209 0.0015603002
## [59,] 0.001915308 0.0017243984 0.0015370703 0.0013564598 0.0011851605
## [60,] 0.001440339 0.0012967721 0.0011558988 0.0010200771 0.0008912576
## [61,] 0.001072378 0.0009654878 0.0008606032 0.0007594796 0.0006635694
## [,46] [,47] [,48] [,49] [,50]
## [1,] 0.0005740024 0.0004915843 0.0004168113 0.0003498951 0.0002907993
## [2,] 0.0007709577 0.0006602599 0.0005598302 0.0004699534 0.0003905803
## [3,] 0.0010251903 0.0008779885 0.0007444409 0.0006249262 0.0005193788
## [4,] 0.0013496944 0.0011558988 0.0009800793 0.0008227345 0.0006837781
## [5,] 0.0017592335 0.0015066343 0.0012774657 0.0010723776 0.0008912576
## [6,] 0.0022702233 0.0019442537 0.0016485205 0.0013838621 0.0011501337
## [7,] 0.0029004857 0.0024840200 0.0021061849 0.0017680517 0.0014694354
## [8,] 0.0036688498 0.0031420587 0.0026641318 0.0022364241 0.0018587017
## [9,] 0.0045945840 0.0039348714 0.0033363527 0.0028007247 0.0023276943
## [10,] 0.0056966496 0.0048786972 0.0041366166 0.0034725119 0.0028860195
## [11,] 0.0069927802 0.0059887231 0.0050778006 0.0042625954 0.0035426613
## [12,] 0.0084984026 0.0072781609 0.0061711068 0.0051803790 0.0043054351
## [13,] 0.0102254347 0.0087572175 0.0074251895 0.0062331275 0.0051803790
## [14,] 0.0121810104 0.0104320022 0.0088452290 0.0074251895 0.0061711068
## [15,] 0.0143661998 0.0123034316 0.0104320022 0.0087572175 0.0072781609
## [16,] 0.0167748076 0.0143661998 0.0121810104 0.0102254347 0.0084984026
## [17,] 0.0193923414 0.0166078955 0.0140817300 0.0118210071 0.0098244897
## [18,] 0.0221952480 0.0190083473 0.0161170580 0.0135295775 0.0112444898
## [19,] 0.0251505110 0.0215392793 0.0182630193 0.0153310198 0.0127416762
## [20,] 0.0282156902 0.0241643453 0.0204887963 0.0171994639 0.0142945481
## [21,] 0.0313394665 0.0268395947 0.0227571234 0.0191036270 0.0158771062
## [22,] 0.0344627218 0.0295143980 0.0250250723 0.0210074726 0.0174594005
## [23,] 0.0375201534 0.0321328288 0.0272452233 0.0228711939 0.0190083473
## [24,] 0.0404423787 0.0346354669 0.0293671943 0.0246524975 0.0204887963
## [25,] 0.0431584494 0.0369615511 0.0313394665 0.0263081351 0.0218648038
## [26,] 0.0455986546 0.0390513799 0.0331114192 0.0277956133 0.0231010533
## [27,] 0.0476974631 0.0408488313 0.0346354669 0.0290749859 0.0241643453
## [28,] 0.0493964329 0.0423038548 0.0358691722 0.0301106284 0.0250250723
## [29,] 0.0506469095 0.0433747820 0.0367772046 0.0308728826 0.0256585850
## [30,] 0.0514123395 0.0440303079 0.0373330209 0.0313394665 0.0260463648
## [31,] 0.0516700450 0.0442510107 0.0375201534 0.0314965562 0.0261769228
## [32,] 0.0514123395 0.0440303079 0.0373330209 0.0313394665 0.0260463648
## [33,] 0.0506469095 0.0433747820 0.0367772046 0.0308728826 0.0256585850
## [34,] 0.0493964329 0.0423038548 0.0358691722 0.0301106284 0.0250250723
## [35,] 0.0476974631 0.0408488313 0.0346354669 0.0290749859 0.0241643453
## [36,] 0.0455986546 0.0390513799 0.0331114192 0.0277956133 0.0231010533
## [37,] 0.0431584494 0.0369615511 0.0313394665 0.0263081351 0.0218648038
## [38,] 0.0404423787 0.0346354669 0.0293671943 0.0246524975 0.0204887963
## [39,] 0.0375201534 0.0321328288 0.0272452233 0.0228711939 0.0190083473
## [40,] 0.0344627218 0.0295143980 0.0250250723 0.0210074726 0.0174594005
## [41,] 0.0313394665 0.0268395947 0.0227571234 0.0191036270 0.0158771062
## [42,] 0.0282156902 0.0241643453 0.0204887963 0.0171994639 0.0142945481
## [43,] 0.0251505110 0.0215392793 0.0182630193 0.0153310198 0.0127416762
## [44,] 0.0221952480 0.0190083473 0.0161170580 0.0135295775 0.0112444898
## [45,] 0.0193923414 0.0166078955 0.0140817300 0.0118210071 0.0098244897
## [46,] 0.0167748076 0.0143661998 0.0121810104 0.0102254347 0.0084984026
## [47,] 0.0143661998 0.0123034316 0.0104320022 0.0087572175 0.0072781609
## [48,] 0.0121810104 0.0104320022 0.0088452290 0.0074251895 0.0061711068
## [49,] 0.0102254347 0.0087572175 0.0074251895 0.0062331275 0.0051803790
## [50,] 0.0084984026 0.0072781609 0.0061711068 0.0051803790 0.0043054351
## [51,] 0.0069927802 0.0059887231 0.0050778006 0.0042625954 0.0035426613
## [52,] 0.0056966496 0.0048786972 0.0041366166 0.0034725119 0.0028860195
## [53,] 0.0045945840 0.0039348714 0.0033363527 0.0028007247 0.0023276943
## [54,] 0.0036688498 0.0031420587 0.0026641318 0.0022364241 0.0018587017
## [55,] 0.0029004857 0.0024840200 0.0021061849 0.0017680517 0.0014694354
## [56,] 0.0022702233 0.0019442537 0.0016485205 0.0013838621 0.0011501337
## [57,] 0.0017592335 0.0015066343 0.0012774657 0.0010723776 0.0008912576
## [58,] 0.0013496944 0.0011558988 0.0009800793 0.0008227345 0.0006837781
## [59,] 0.0010251903 0.0008779885 0.0007444409 0.0006249262 0.0005193788
## [60,] 0.0007709577 0.0006602599 0.0005598302 0.0004699534 0.0003905803
## [61,] 0.0005740024 0.0004915843 0.0004168113 0.0003498951 0.0002907993
## [,51] [,52] [,53] [,54] [,55]
## [1,] 0.0002392798 0.0001949286 0.0001572180 0.0001255411 9.924916e-05
## [2,] 0.0003213830 0.0002618138 0.0002111637 0.0001686176 1.333042e-04
## [3,] 0.0004273629 0.0003481500 0.0002807974 0.0002242213 1.772628e-04
## [4,] 0.0005626363 0.0004583502 0.0003696784 0.0002951942 2.333719e-04
## [5,] 0.0007333576 0.0005974278 0.0004818503 0.0003847653 3.041842e-04
## [6,] 0.0009463699 0.0007709577 0.0006218093 0.0004965248 3.925381e-04
## [7,] 0.0012091023 0.0009849920 0.0007944368 0.0006343707 5.015150e-04
## [8,] 0.0015294041 0.0012459250 0.0010048901 0.0008024211 6.343707e-04
## [9,] 0.0019153076 0.0015603002 0.0012584467 0.0010048901 7.944368e-04
## [10,] 0.0023747169 0.0019345567 0.0015603002 0.0012459250 9.849920e-04
## [11,] 0.0029150245 0.0023747169 0.0019153076 0.0015294041 1.209102e-03
## [12,] 0.0035426613 0.0028860195 0.0023276943 0.0018587017 1.469435e-03
## [13,] 0.0042625954 0.0034725119 0.0028007247 0.0022364241 1.768052e-03
## [14,] 0.0050778006 0.0041366166 0.0033363527 0.0026641318 2.106185e-03
## [15,] 0.0059887231 0.0048786972 0.0039348714 0.0031420587 2.484020e-03
## [16,] 0.0069927802 0.0056966496 0.0045945840 0.0036688498 2.900486e-03
## [17,] 0.0080839306 0.0065855524 0.0053115209 0.0042413356 3.353076e-03
## [18,] 0.0092523559 0.0075374069 0.0060792310 0.0048543646 3.837719e-03
## [19,] 0.0104842928 0.0085410010 0.0068886712 0.0055007157 4.348705e-03
## [20,] 0.0117620496 0.0095819221 0.0077282173 0.0061711068 4.878697e-03
## [21,] 0.0130642333 0.0106427426 0.0085838129 0.0068543138 5.418821e-03
## [22,] 0.0143661998 0.0117033861 0.0094392659 0.0075374069 5.958854e-03
## [23,] 0.0156407269 0.0127416762 0.0102766899 0.0082061035 6.487506e-03
## [24,] 0.0168588917 0.0137340508 0.0110770812 0.0088452290 6.992780e-03
## [25,] 0.0179911184 0.0146564163 0.0118210071 0.0094392659 7.462408e-03
## [26,] 0.0190083473 0.0154850991 0.0124893741 0.0099729678 7.884338e-03
## [27,] 0.0198832608 0.0161978451 0.0130642333 0.0104320022 8.247237e-03
## [28,] 0.0205914968 0.0167748076 0.0135295775 0.0108035870 8.541001e-03
## [29,] 0.0211127730 0.0171994639 0.0138720804 0.0110770812 8.757217e-03
## [30,] 0.0214318517 0.0174594005 0.0140817300 0.0112444898 8.889566e-03
## [31,] 0.0215392793 0.0175469161 0.0141523150 0.0113008530 8.934125e-03
## [32,] 0.0214318517 0.0174594005 0.0140817300 0.0112444898 8.889566e-03
## [33,] 0.0211127730 0.0171994639 0.0138720804 0.0110770812 8.757217e-03
## [34,] 0.0205914968 0.0167748076 0.0135295775 0.0108035870 8.541001e-03
## [35,] 0.0198832608 0.0161978451 0.0130642333 0.0104320022 8.247237e-03
## [36,] 0.0190083473 0.0154850991 0.0124893741 0.0099729678 7.884338e-03
## [37,] 0.0179911184 0.0146564163 0.0118210071 0.0094392659 7.462408e-03
## [38,] 0.0168588917 0.0137340508 0.0110770812 0.0088452290 6.992780e-03
## [39,] 0.0156407269 0.0127416762 0.0102766899 0.0082061035 6.487506e-03
## [40,] 0.0143661998 0.0117033861 0.0094392659 0.0075374069 5.958854e-03
## [41,] 0.0130642333 0.0106427426 0.0085838129 0.0068543138 5.418821e-03
## [42,] 0.0117620496 0.0095819221 0.0077282173 0.0061711068 4.878697e-03
## [43,] 0.0104842928 0.0085410010 0.0068886712 0.0055007157 4.348705e-03
## [44,] 0.0092523559 0.0075374069 0.0060792310 0.0048543646 3.837719e-03
## [45,] 0.0080839306 0.0065855524 0.0053115209 0.0042413356 3.353076e-03
## [46,] 0.0069927802 0.0056966496 0.0045945840 0.0036688498 2.900486e-03
## [47,] 0.0059887231 0.0048786972 0.0039348714 0.0031420587 2.484020e-03
## [48,] 0.0050778006 0.0041366166 0.0033363527 0.0026641318 2.106185e-03
## [49,] 0.0042625954 0.0034725119 0.0028007247 0.0022364241 1.768052e-03
## [50,] 0.0035426613 0.0028860195 0.0023276943 0.0018587017 1.469435e-03
## [51,] 0.0029150245 0.0023747169 0.0019153076 0.0015294041 1.209102e-03
## [52,] 0.0023747169 0.0019345567 0.0015603002 0.0012459250 9.849920e-04
## [53,] 0.0019153076 0.0015603002 0.0012584467 0.0010048901 7.944368e-04
## [54,] 0.0015294041 0.0012459250 0.0010048901 0.0008024211 6.343707e-04
## [55,] 0.0012091023 0.0009849920 0.0007944368 0.0006343707 5.015150e-04
## [56,] 0.0009463699 0.0007709577 0.0006218093 0.0004965248 3.925381e-04
## [57,] 0.0007333576 0.0005974278 0.0004818503 0.0003847653 3.041842e-04
## [58,] 0.0005626363 0.0004583502 0.0003696784 0.0002951942 2.333719e-04
## [59,] 0.0004273629 0.0003481500 0.0002807974 0.0002242213 1.772628e-04
## [60,] 0.0003213830 0.0002618138 0.0002111637 0.0001686176 1.333042e-04
## [61,] 0.0002392798 0.0001949286 0.0001572180 0.0001255411 9.924916e-05
## [,56] [,57] [,58] [,59] [,60]
## [1,] 7.768277e-05 6.019766e-05 4.618400e-05 3.508008e-05 2.638072e-05
## [2,] 1.043378e-04 8.085306e-05 6.203095e-05 4.711698e-05 3.543264e-05
## [3,] 1.387444e-04 1.075153e-04 8.248640e-05 6.265437e-05 4.711698e-05
## [4,] 1.826613e-04 1.415472e-04 1.085959e-04 8.248640e-05 6.203095e-05
## [5,] 2.380864e-04 1.844971e-04 1.415472e-04 1.075153e-04 8.085306e-05
## [6,] 3.072413e-04 2.380864e-04 1.826613e-04 1.387444e-04 1.043378e-04
## [7,] 3.925381e-04 3.041842e-04 2.333719e-04 1.772628e-04 1.333042e-04
## [8,] 4.965248e-04 3.847653e-04 2.951942e-04 2.242213e-04 1.686176e-04
## [9,] 6.218093e-04 4.818503e-04 3.696784e-04 2.807974e-04 2.111637e-04
## [10,] 7.709577e-04 5.974278e-04 4.583502e-04 3.481500e-04 2.618138e-04
## [11,] 9.463699e-04 7.333576e-04 5.626363e-04 4.273629e-04 3.213830e-04
## [12,] 1.150134e-03 8.912576e-04 6.837781e-04 5.193788e-04 3.905803e-04
## [13,] 1.383862e-03 1.072378e-03 8.227345e-04 6.249262e-04 4.699534e-04
## [14,] 1.648520e-03 1.277466e-03 9.800793e-04 7.444409e-04 5.598302e-04
## [15,] 1.944254e-03 1.506634e-03 1.155899e-03 8.779885e-04 6.602599e-04
## [16,] 2.270223e-03 1.759234e-03 1.349694e-03 1.025190e-03 7.709577e-04
## [17,] 2.624468e-03 2.033744e-03 1.560300e-03 1.185161e-03 8.912576e-04
## [18,] 3.003800e-03 2.327694e-03 1.785821e-03 1.356460e-03 1.020077e-03
## [19,] 3.403752e-03 2.637623e-03 2.023600e-03 1.537070e-03 1.155899e-03
## [20,] 3.818578e-03 2.959079e-03 2.270223e-03 1.724398e-03 1.296772e-03
## [21,] 4.241336e-03 3.286681e-03 2.521561e-03 1.915308e-03 1.440339e-03
## [22,] 4.664022e-03 3.614228e-03 2.772857e-03 2.106185e-03 1.583881e-03
## [23,] 5.077801e-03 3.934871e-03 3.018857e-03 2.293039e-03 1.724398e-03
## [24,] 5.473281e-03 4.241336e-03 3.253978e-03 2.471631e-03 1.858702e-03
## [25,] 5.840861e-03 4.526180e-03 3.472512e-03 2.637623e-03 1.983530e-03
## [26,] 6.171107e-03 4.782093e-03 3.668850e-03 2.786756e-03 2.095680e-03
## [27,] 6.455150e-03 5.002202e-03 3.837719e-03 2.915024e-03 2.192140e-03
## [28,] 6.685080e-03 5.180379e-03 3.974418e-03 3.018857e-03 2.270223e-03
## [29,] 6.854314e-03 5.311521e-03 4.075030e-03 3.095280e-03 2.327694e-03
## [30,] 6.957904e-03 5.391794e-03 4.136617e-03 3.142059e-03 2.362873e-03
## [31,] 6.992780e-03 5.418821e-03 4.157351e-03 3.157808e-03 2.374717e-03
## [32,] 6.957904e-03 5.391794e-03 4.136617e-03 3.142059e-03 2.362873e-03
## [33,] 6.854314e-03 5.311521e-03 4.075030e-03 3.095280e-03 2.327694e-03
## [34,] 6.685080e-03 5.180379e-03 3.974418e-03 3.018857e-03 2.270223e-03
## [35,] 6.455150e-03 5.002202e-03 3.837719e-03 2.915024e-03 2.192140e-03
## [36,] 6.171107e-03 4.782093e-03 3.668850e-03 2.786756e-03 2.095680e-03
## [37,] 5.840861e-03 4.526180e-03 3.472512e-03 2.637623e-03 1.983530e-03
## [38,] 5.473281e-03 4.241336e-03 3.253978e-03 2.471631e-03 1.858702e-03
## [39,] 5.077801e-03 3.934871e-03 3.018857e-03 2.293039e-03 1.724398e-03
## [40,] 4.664022e-03 3.614228e-03 2.772857e-03 2.106185e-03 1.583881e-03
## [41,] 4.241336e-03 3.286681e-03 2.521561e-03 1.915308e-03 1.440339e-03
## [42,] 3.818578e-03 2.959079e-03 2.270223e-03 1.724398e-03 1.296772e-03
## [43,] 3.403752e-03 2.637623e-03 2.023600e-03 1.537070e-03 1.155899e-03
## [44,] 3.003800e-03 2.327694e-03 1.785821e-03 1.356460e-03 1.020077e-03
## [45,] 2.624468e-03 2.033744e-03 1.560300e-03 1.185161e-03 8.912576e-04
## [46,] 2.270223e-03 1.759234e-03 1.349694e-03 1.025190e-03 7.709577e-04
## [47,] 1.944254e-03 1.506634e-03 1.155899e-03 8.779885e-04 6.602599e-04
## [48,] 1.648520e-03 1.277466e-03 9.800793e-04 7.444409e-04 5.598302e-04
## [49,] 1.383862e-03 1.072378e-03 8.227345e-04 6.249262e-04 4.699534e-04
## [50,] 1.150134e-03 8.912576e-04 6.837781e-04 5.193788e-04 3.905803e-04
## [51,] 9.463699e-04 7.333576e-04 5.626363e-04 4.273629e-04 3.213830e-04
## [52,] 7.709577e-04 5.974278e-04 4.583502e-04 3.481500e-04 2.618138e-04
## [53,] 6.218093e-04 4.818503e-04 3.696784e-04 2.807974e-04 2.111637e-04
## [54,] 4.965248e-04 3.847653e-04 2.951942e-04 2.242213e-04 1.686176e-04
## [55,] 3.925381e-04 3.041842e-04 2.333719e-04 1.772628e-04 1.333042e-04
## [56,] 3.072413e-04 2.380864e-04 1.826613e-04 1.387444e-04 1.043378e-04
## [57,] 2.380864e-04 1.844971e-04 1.415472e-04 1.075153e-04 8.085306e-05
## [58,] 1.826613e-04 1.415472e-04 1.085959e-04 8.248640e-05 6.203095e-05
## [59,] 1.387444e-04 1.075153e-04 8.248640e-05 6.265437e-05 4.711698e-05
## [60,] 1.043378e-04 8.085306e-05 6.203095e-05 4.711698e-05 3.543264e-05
## [61,] 7.768277e-05 6.019766e-05 4.618400e-05 3.508008e-05 2.638072e-05
## [,61]
## [1,] 1.964128e-05
## [2,] 2.638072e-05
## [3,] 3.508008e-05
## [4,] 4.618400e-05
## [5,] 6.019766e-05
## [6,] 7.768277e-05
## [7,] 9.924916e-05
## [8,] 1.255411e-04
## [9,] 1.572180e-04
## [10,] 1.949286e-04
## [11,] 2.392798e-04
## [12,] 2.907993e-04
## [13,] 3.498951e-04
## [14,] 4.168113e-04
## [15,] 4.915843e-04
## [16,] 5.740024e-04
## [17,] 6.635694e-04
## [18,] 7.594796e-04
## [19,] 8.606032e-04
## [20,] 9.654878e-04
## [21,] 1.072378e-03
## [22,] 1.179249e-03
## [23,] 1.283869e-03
## [24,] 1.383862e-03
## [25,] 1.476801e-03
## [26,] 1.560300e-03
## [27,] 1.632117e-03
## [28,] 1.690253e-03
## [29,] 1.733042e-03
## [30,] 1.759234e-03
## [31,] 1.768052e-03
## [32,] 1.759234e-03
## [33,] 1.733042e-03
## [34,] 1.690253e-03
## [35,] 1.632117e-03
## [36,] 1.560300e-03
## [37,] 1.476801e-03
## [38,] 1.383862e-03
## [39,] 1.283869e-03
## [40,] 1.179249e-03
## [41,] 1.072378e-03
## [42,] 9.654878e-04
## [43,] 8.606032e-04
## [44,] 7.594796e-04
## [45,] 6.635694e-04
## [46,] 5.740024e-04
## [47,] 4.915843e-04
## [48,] 4.168113e-04
## [49,] 3.498951e-04
## [50,] 2.907993e-04
## [51,] 2.392798e-04
## [52,] 1.949286e-04
## [53,] 1.572180e-04
## [54,] 1.255411e-04
## [55,] 9.924916e-05
## [56,] 7.768277e-05
## [57,] 6.019766e-05
## [58,] 4.618400e-05
## [59,] 3.508008e-05
## [60,] 2.638072e-05
## [61,] 1.964128e-05
x <- seq(-3,3,.1)
y <- x
f <- function(x,y){dmvnorm(cbind(x,y))}
persp(x,y,outer(x,y,f),theta=30,phi=30)
contour(x,y,outer(x,y,f))
