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@R_Experts
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@iamrezaei
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#آموزش_درخواستی_جدوال_توافقی

برای این کار از دو دستور
peg.tab

peg.df


استفاده میشود که ساختار کلی این دستور ها استفاده از ماتریس ها و لیست ها هست

ودر دستور دوم تابع
expand.gird()

هر یک از اعضای بردار ها را نظیر به نظیر به صورت جدولی مقابل هم قرار میدهد

#Example_1


> pag.tab <- matrix(c(762, 484, 327, 239, 468, 477), nrow=2)

> dimnames(pag.tab) <-list(Gender=c("Female","Male"),Party=c("Democrat","Independent","Republican"))

> pag.tab <- as.table(pag.tab)

> pag.tab

        Party

Gender   Democrat Independent Republican

  Female      762         327        468

  Male        484         239        477

> # Or

> pag.df <-expand.grid(Gender=c("Female","Male"),Party=c("Democrat","Independent","Republican"))

> pag.df

  Gender       Party

1 Female    Democrat

2   Male    Democrat

3 Female Independent

4   Male Independent

5 Female  Republican

6   Male  Republican

>



@R_Experts
#Example_Chernoff_Face

در مثال زیر که مربوط به 31


استان از کشور عزیزمون هست نمودار


Chernoff_face
30 استان در مقابل بعضی از عوامل


از جمله جمعیت،درصد با سوادی ،مساحت،رشد متوسط جمعیت و ... رسم شده است


rm(list=ls())

mydata<-read.csv(file.choose())

mydata

fix(mydata)

install.packages("aplpack")

library(aplpack)

data =mydata

faces(data[1:30, c("Jamiyat", "M.R.S.J", "S.J.K", "M.SH","Masahat")], 

face.type = 1, scale = TRUE, 

labels = data$Species, 

plot.faces = TRUE, nrow.plot =6, 

ncol.plot = 5)


@R_Experts
#Example

This first eg samples from an uniform distribution (the proposal distribution)
to generate a sample from a Beta(2.7, 6.3) distribution:

a<-2.7; b<-6.3; size<-1e4

f <- function(x) dbeta(x,a,b)
rg <- function(x) runif(1,0,1)
g <- function(x,y) 1 # i.e., dunif(x,0,1)

X <- metropolis.hastings(f,g,rg,x0=runif(1,0,1),chain.size=size)

par(mfrow=c(1,2),mar=c(2,2,1,1))
hist(X,breaks=50,col="blue",main="Metropolis-Hastings",freq=FALSE)
curve(dbeta(x,a,b),col="sienna",lwd=2,add=TRUE)
hist(rbeta(size,a,b),breaks=50,col="grey",main="Direct Sampling",freq=FALSE)
curve(dbeta(x,a,b),col="sienna",lwd=2,add=TRUE)



@R_Experts
#Example_1


par("bg=blue4")
plot(table(rpois(100, 5)), type = "h", col = "red", lwd = 10,
main = "rpois(100, lambda = 5)")


در این مثال

type="h"


نوع نمودار به فرم هیستوگرامی را مشخص

col="red"


رنگ میله ها

lwd=10


پهنای میله ها

main = "rpois(100, lambda = 5)"


عنوان نمودار در بک گراند میباشد


@R_Experts
#Example_2

par(bg="gold")
attach(mtcars)
plot(wt, mpg, main="Scatterplot Example",
xlab="Car Weight ", ylab="Miles Per Gallon ", pch=20)


نمودار پراکنش مربوط به داده های

mtcars


xlab=" " ,ylab=" "


برچسب های محورها

pch=" "


نوع شکل نقطه ها

را تعیین میکنند

@R_Experts
#Example_3
ی مثال خوب و سطح بندی شده:
#Step_1

# Define the cars vector with 5 values

cars <- c(1, 3, 6, 4, 9)


# Graph the cars vector with all defaults

plot(cars)




#Step_2

# Define 2 vectors

cars <- c(1, 3, 6, 4, 9)

trucks <- c(2, 5, 4, 5, 12)


# Graph cars using a y axis that ranges from 0 to 12

plot(cars, type="o", col="blue", ylim=c(0,12))


# Graph trucks with red dashed line and square points

lines(trucks, type="o", pch=22, lty=2, col="red")


# Create a title with a red, bold/italic font

title(main="Autos", col.main="red", font.main=4)



#Step_3

# Define 2 vectors

cars <- c(1, 3, 6, 4, 9)

trucks <- c(2, 5, 4, 5, 12)


# Calculate range from 0 to max value of cars and trucks

g_range <- range(0, cars, trucks)


# Graph autos using y axis that ranges from 0 to max 

# value in cars or trucks vector.  Turn off axes and 

# annotations (axis labels) so we can specify them ourself

plot(cars, type="o", col="blue", ylim=g_range, 

   axes=FALSE, ann=FALSE)


# Make x axis using Mon-Fri labels

axis(1, at=1:5, lab=c("Mon","Tue","Wed","Thu","Fri"))


# Make y axis with horizontal labels that display ticks at 

# every 4 marks. 4*0:g_range[2] is equivalent to c(0,4,8,12).

axis(2, las=1, at=4*0:g_range[2])


# Create box around plot

box()


# Graph trucks with red dashed line and square points

lines(trucks, type="o", pch=22, lty=2, col="red")


# Create a title with a red, bold/italic font

title(main="Autos", col.main="red", font.main=4)


# Label the x and y axes with dark green text

title(xlab="Days", col.lab=rgb(0,0.5,0))

title(ylab="Total", col.lab=rgb(0,0.5,0))


# Create a legend at (1, g_range[2]) that is slightly smaller 

# (cex) and uses the same line colors and points used by 

# the actual plots 

legend(1, g_range[2], c("cars","trucks"), cex=0.8, 

   col=c("blue","red"), pch=21:22, lty=1:2)
#Example

x2 <- c(4.1,1.1,-2.3,-0.2,-1.2,2.3)

y2 <- c(2.3,4.2,1.2,2.1,-2,4.3)

plot(x,y,cex=.8,pch=1,xlab="x",ylab="y",col="black")

points(x2,y2,cex=.8,pch=3,col="blue")

legend(x=-2,y=12,c("sample","control"),cex=.8, 

        col=c("black","blue"),pch=c(1,3))


@R_Experts
#Example

#Step_1


First let's make a simple bar chart:

>x <- c(3,2,6,8,4)
>barplot(x)


#Step_2


Let's add some annotations:

>barplot(x,border="tan2",names.arg=c("Jan","Feb","Mar","Apr","May"),
+ xlab="Month",ylab="Revenue",density=c(0,5,20,50,100))



#Step_3

Suppose the bar chart above is about software department of our company, we are going to compare other department's revenues including hardware and services:

>A <- matrix(c(3,5,7,1,9,4,6,5,2,12,2,1,7,6,8),nrow=3,ncol=5,byrow=TRUE)
>barplot(A,main="total revenue",names.arg=c("Jan","Feb","Mar","Apr","May"),
+ xlab="month",ylab="revenue",col=c("tan2","blue","darkslategray3"))
>legend(x=0.2,y=24,c("soft","hardware","service"),cex=.8,
+ col=c("tan2","blue","darkslategray3"),pch=c(22,0,0))



#Step_4

Let's compare the data sets horizontally:

>barplot(A,main="total revenue",beside=TRUE,
+ names.arg=c("Jan","Feb","Mar","Apr","May"),
+ xlab="month",ylab="revenue",col=c("tan2","blue","darkslategray3"))
>legend(x=1,y=11,c("soft","hardware","service"),cex=.8,
+ col=c("tan2","blue","darkslategray3"),pch=c(22,0,0))


@R_Experts
#Circle



 draw.circle(...)

function draws a circle on the plot. It's usage is:

draw.circle(x,y,radius,nv=100,border=NULL,col=NA,lty=1,lwd=1)



x,y

: Circle center coordinates
radius

: Circle radius
nv

: Number of vertices
border

: Border Color
col

: Fill Color
lty

: Line type
lwd

: Line width
draw.circle requires "
plotrix

" package, to install:

>install.packages("plotrix")


for #Example

install.packages("plotrix")
plot(BOD)
require(plotrix)
draw.circle(4,14,2,border="blue",col="tan2")


@R_Experts
#Histogram

Is a popular descriptive statistical method that shows data by dividing the range of values into intervals and plotting the frequency/density per interval as a bar.

hist(x, breaks = "Sturges", freq = NULL,  ...)

x

: value vector
breaks

: number of bars
...

for #Example

>x <- read.csv("histogram.csv",header=T,sep="\t")

>x <- t(x)

>ex <- as.numeric(x[2,1:ncol(x)])


Plot a histogram:

>hist(ex)

@R_Experts
#Example _1

install.packages("lattice")
library(lattice)
attach(mtcars)

#create factors with value labels
gear.f<-factor(gear,levels=c(3,4,5),
labels=c("3gears","4gears","5gears"))
cyl.f <-factor(cyl,levels=c(4,6,8),
labels=c("4cyl","6cyl","8cyl"))

# kernel density plot
densityplot(~mpg,
main="Density Plot",
xlab="Miles per Gallon")


@R_Experts
#Example_2

# 3d scatterplot by factor level
cloud(mpg~wt*qsec|cyl.f,
main="3D Scatterplot by Cylinders")


@R_Experts
#Example_3

# dotplot for each combination of two factors

dotplot(cyl.f~mpg|gear.f,
main="Dotplot Plot by Number of Gears and Cylinders",
xlab="Miles Per Gallon")


# scatterplot matrix

``splom(mtcars[c(1,3,4,5,6)],

   main="MTCARS Data")


@R_Experts
#demo

#برچسب_ریاضی

ابتدا
demo(plotmath)
را فراخوانی سپس
از اپراتورهای ان استفاده میکنیم،
که در پنجره پلات ظاهر شده
و با زدن enter جا به جا میشوند

#Example
demo(plotmath)
par(mar = c(4, 4, 2, 0.1))
plot(rnorm(100), rnorm(100),
xlab = expression(hat(mu)[0]), ylab = expression(alpha^beta),
main = expression(paste("Plot of ", alpha^beta, " versus ", hat(mu)[0])))

par(mar = c(4, 4, 2, 0.1))
x_mean <- 1.5
x_sd <- 1.2
hist(rnorm(100, x_mean, x_sd),
main = substitute(
paste(X[i], " ~ N(", mu, "=", m, ", ", sigma^2, "=", s2, ")"),
list(m = x_mean, s2 = x_sd^2)
)
)

@R_Experts
#Variance_Ratio_Test

آزمون نسبت واریانس ها که آزمون فرضی مبتنی بر پی ولیو در اختیار ما قرار میدهد

با تابع

variance.ratio<-function(x,y) {

v1<-var(x)

v2<-var(y)

if (var(x) > var(y)) {

vr<-var(x)/var(y)

df1<-length(x)-1

df2<-length(y)-1}

else { vr<-var(y)/var(x)

df1<-length(y)-1

df2<-length(x)-1}

2*(1-pf(vr,df1,df2)) }


#Example

a<-rnorm(10,15,2)

b<-rnorm(10,15,4)


variance.ratio(a,b)

[1] 0.01593334


همان طور که مشاهده می شود با تولید عدد تصادفی از توزیع نرمال با انحراف معیار 2و4 فرض برابری واریانس ها یا

نسبت برابر با 1 رد میشود ، پی ولیو کمتر از 5 صدم بنابراین باعث رد فرض صفر میشود

لازم به ذکر است فرض صفر این ازمون برابری واریانس یا نسبت و فرض 1 نقیض این فرض میباشد

@R_Experts