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Author's title

Author

*Unverified author*

R Software Module

rwasp_bootstrapplot1.wasp

Title produced by software

Bootstrap Plot - Central Tendency

Date of computation

Wed, 25 Apr 2012 11:49:02 -0400

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Apr/25/t1335368976ucq8k75p310unzw.htm/, Retrieved Mon, 06 May 2024 17:25:14 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=164831, Retrieved Mon, 06 May 2024 17:25:14 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

KDGP2W22

Estimated Impact

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-       [Bootstrap Plot - Central Tendency] [Per 750 Simulaties] [2012-04-25 15:49:02] [d77480184cff5133157c4adeb3391928] [Current]

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Dataseries X:

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Histogram

Boxplots

3.9
5.9
5.7
3.6
4.9
5.3
8.7
6.8
8.9
9.6
11.2
9.9
9.3
9.2
9.4
12.7
13.6
16.1
14.8
14.1
13.2
8.7
4.9
-1.3
-3.9
-6
-6.6
-8.7
-11.6
-14.6
-12.9
-13.8
-14.1
-13.2
-10.4
-3.3
1
3.1
4.5
1.9
3.9
7
5.6
8.1
6.1
8
6.5
5.6
4.8
5.1
7.8
10.3
8.6
6.8
4.9
5.4
5.5
4.7
4.2
5
5
6
2.9
3.6
5.1
2.9
4.7
3
5
2.6
3.2
2.4
3.2
2.6
2.4
2.1
2.7
4.4
4.3
4.2
5.5
8.8
10.1
7
5.7
5.2
5.5
7.3
5.9
7.1
6.9
6.7
4.7
6.7
8.5
2.1
-0.9
-4.7
4.8
2.6
1.7
-1.8
0.2
1.9
3.2
3.1
4.2
16.2
18.3
21.6
12.6
9.8
10.6
13
9.7
7.9
3.3
3.4
0.4
0.7
1.4
3.8
4
8
6
5.8
3.9
6.4
11

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	3 seconds
R Server	'Gwilym Jenkins' @ jenkins.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 3 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=164831&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=164831&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=164831&T=0

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	3 seconds
R Server	'Gwilym Jenkins' @ jenkins.wessa.net

Estimation Results of Bootstrap
statistic	Q1	Estimate	Q3	S.D.	IQR
mean	4.22209302325581	4.59302325581395	4.93100775193798	0.519946541093695	0.70891472868217
median	4.9	5	5.2	0.270348931431773	0.3
midrange	1.85	3.5	3.5	1.0767027354829	1.65

\begin{tabular}{lllllllll}
\hline
Estimation Results of Bootstrap \tabularnewline
statistic & Q1 & Estimate & Q3 & S.D. & IQR \tabularnewline
mean & 4.22209302325581 & 4.59302325581395 & 4.93100775193798 & 0.519946541093695 & 0.70891472868217 \tabularnewline
median & 4.9 & 5 & 5.2 & 0.270348931431773 & 0.3 \tabularnewline
midrange & 1.85 & 3.5 & 3.5 & 1.0767027354829 & 1.65 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=164831&T=1

[TABLE]
[ROW][C]Estimation Results of Bootstrap[/C][/ROW]
[ROW][C]statistic[/C][C]Q1[/C][C]Estimate[/C][C]Q3[/C][C]S.D.[/C][C]IQR[/C][/ROW]
[ROW][C]mean[/C][C]4.22209302325581[/C][C]4.59302325581395[/C][C]4.93100775193798[/C][C]0.519946541093695[/C][C]0.70891472868217[/C][/ROW]
[ROW][C]median[/C][C]4.9[/C][C]5[/C][C]5.2[/C][C]0.270348931431773[/C][C]0.3[/C][/ROW]
[ROW][C]midrange[/C][C]1.85[/C][C]3.5[/C][C]3.5[/C][C]1.0767027354829[/C][C]1.65[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=164831&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=164831&T=1

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Estimation Results of Bootstrap
statistic	Q1	Estimate	Q3	S.D.	IQR
mean	4.22209302325581	4.59302325581395	4.93100775193798	0.519946541093695	0.70891472868217
median	4.9	5	5.2	0.270348931431773	0.3
midrange	1.85	3.5	3.5	1.0767027354829	1.65

Figure 1

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Postscript link

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Figure 2

PNG link

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Figure 3

PNG link

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Figure 4

PNG link

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PDF link

Figure 5

PNG link

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PDF link

Figure 6

PNG link

Postscript link

PDF link

Figure 7

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 750 ;

Parameters (R input):

par1 = 750 ;

R code (references can be found in the software module):

par1 <- as.numeric(par1)
if (par1 < 10) par1 = 10
if (par1 > 5000) par1 = 5000
library(lattice)
library(boot)
boot.stat <- function(s,i)
{
s.mean <- mean(s[i])
s.median <- median(s[i])
s.midrange <- (max(s[i]) + min(s[i])) / 2
c(s.mean, s.median, s.midrange)
}
(r <- boot(x,boot.stat, R=par1, stype='i'))
bitmap(file='plot1.png')
plot(r$t[,1],type='p',ylab='simulated values',main='Simulation of Mean')
grid()
dev.off()
bitmap(file='plot2.png')
plot(r$t[,2],type='p',ylab='simulated values',main='Simulation of Median')
grid()
dev.off()
bitmap(file='plot3.png')
plot(r$t[,3],type='p',ylab='simulated values',main='Simulation of Midrange')
grid()
dev.off()
bitmap(file='plot4.png')
densityplot(~r$t[,1],col='black',main='Density Plot',xlab='mean')
dev.off()
bitmap(file='plot5.png')
densityplot(~r$t[,2],col='black',main='Density Plot',xlab='median')
dev.off()
bitmap(file='plot6.png')
densityplot(~r$t[,3],col='black',main='Density Plot',xlab='midrange')
dev.off()
z <- data.frame(cbind(r$t[,1],r$t[,2],r$t[,3]))
colnames(z) <- list('mean','median','midrange')
bitmap(file='plot7.png')
boxplot(z,notch=TRUE,ylab='simulated values',main='Bootstrap Simulation - Central Tendency')
grid()
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Estimation Results of Bootstrap',6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'statistic',header=TRUE)
a<-table.element(a,'Q1',header=TRUE)
a<-table.element(a,'Estimate',header=TRUE)
a<-table.element(a,'Q3',header=TRUE)
a<-table.element(a,'S.D.',header=TRUE)
a<-table.element(a,'IQR',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'mean',header=TRUE)
q1 <- quantile(r$t[,1],0.25)[[1]]
q3 <- quantile(r$t[,1],0.75)[[1]]
a<-table.element(a,q1)
a<-table.element(a,r$t0[1])
a<-table.element(a,q3)
a<-table.element(a,sqrt(var(r$t[,1])))
a<-table.element(a,q3-q1)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'median',header=TRUE)
q1 <- quantile(r$t[,2],0.25)[[1]]
q3 <- quantile(r$t[,2],0.75)[[1]]
a<-table.element(a,q1)
a<-table.element(a,r$t0[2])
a<-table.element(a,q3)
a<-table.element(a,sqrt(var(r$t[,2])))
a<-table.element(a,q3-q1)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'midrange',header=TRUE)
q1 <- quantile(r$t[,3],0.25)[[1]]
q3 <- quantile(r$t[,3],0.75)[[1]]
a<-table.element(a,q1)
a<-table.element(a,r$t0[3])
a<-table.element(a,q3)
a<-table.element(a,sqrt(var(r$t[,3])))
a<-table.element(a,q3-q1)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')

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