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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

Tue, 26 Jan 2010 16:54:07 -0700

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/2010/Jan/27/t12645500866f0t91wew3k4cbe.htm/, Retrieved Thu, 12 Feb 2026 13:29:30 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=72676, Retrieved Thu, 12 Feb 2026 13:29:30 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

KDGP2W32

Estimated Impact

448

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

-       [Bootstrap Plot - Central Tendency] [] [2010-01-26 23:54:07] [93f7fd88d04bfc03ecae616214d88989] [Current]

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Dataseries X:

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Histogram

Boxplots

2,46
2,46
2,45
2,45
2,46
2,43
2,44
2,44
2,43
2,43
2,42
2,43
2,43
2,42
2,41
2,42
2,39
2,4
2,39
2,4
2,41
2,41
2,41
2,41
2,42
2,43
2,43
2,43
2,44
2,42
2,44
2,42
2,42
2,42
2,43
2,44
2,43
2,44
2,44
2,45
2,45
2,43
2,44
2,45
2,46
2,44
2,43
2,42
2,41
2,43
2,41
2,43
2,43
2,44
2,43
2,44
2,43
2,44
2,44
2,43
2,43
2,43
2,43
2,44
2,47
2,48
2,49
2,5
2,51
2,49
2,49
2,48
2,48
2,48
2,5
2,5
2,5
2,5
2,5
2,48
2,49
2,48
2,5
2,5
2,49
2,48
2,47
2,46
2,43
2,42
2,43
2,45
2,45
2,46
2,44
2,45
2,45
2,42
2,41
2,39
2,39
2,38
2,37
2,37
2,38
2,39
2,41
2,42
2,48
2,53
2,56
2,56
2,53
2,57
2,56
2,57
2,58
2,57
2,6
2,63
2,72
2,83
2,9
2,92
2,94
2,95
2,98
3,02
3,16
3,2
3,18
3,17

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' @ 72.249.127.135

\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' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=72676&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' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=72676&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=72676&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' @ 72.249.127.135

Estimation Results of Bootstrap
statistic	Q1	Estimate	Q3	S.D.	IQR
mean	2.490625	2.50189393939394	2.50956439393939	0.0136506139058015	0.0189393939393940
median	2.44	2.44	2.445	0.00470211916300687	0.00500000000000034
midrange	2.775	2.785	2.785	0.0138240014133165	0.00999999999999979

\begin{tabular}{lllllllll}
\hline
Estimation Results of Bootstrap \tabularnewline
statistic & Q1 & Estimate & Q3 & S.D. & IQR \tabularnewline
mean & 2.490625 & 2.50189393939394 & 2.50956439393939 & 0.0136506139058015 & 0.0189393939393940 \tabularnewline
median & 2.44 & 2.44 & 2.445 & 0.00470211916300687 & 0.00500000000000034 \tabularnewline
midrange & 2.775 & 2.785 & 2.785 & 0.0138240014133165 & 0.00999999999999979 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=72676&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]2.490625[/C][C]2.50189393939394[/C][C]2.50956439393939[/C][C]0.0136506139058015[/C][C]0.0189393939393940[/C][/ROW]
[ROW][C]median[/C][C]2.44[/C][C]2.44[/C][C]2.445[/C][C]0.00470211916300687[/C][C]0.00500000000000034[/C][/ROW]
[ROW][C]midrange[/C][C]2.775[/C][C]2.785[/C][C]2.785[/C][C]0.0138240014133165[/C][C]0.00999999999999979[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=72676&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=72676&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	2.490625	2.50189393939394	2.50956439393939	0.0136506139058015	0.0189393939393940
median	2.44	2.44	2.445	0.00470211916300687	0.00500000000000034
midrange	2.775	2.785	2.785	0.0138240014133165	0.00999999999999979

Figure 1

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Postscript link

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Figure 2

PNG link

Postscript link

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Figure 3

PNG link

Postscript link

PDF link

Figure 4

PNG link

Postscript link

PDF link

Figure 5

PNG link

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PDF link

Figure 6

PNG link

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PDF link

Figure 7

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 200 ;

Parameters (R input):

par1 = 200 ;

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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