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Author's title

Author

*Unverified author*

R Software Module

rwasp_bootstrapplot.wasp

Title produced by software

Blocked Bootstrap Plot - Central Tendency

Date of computation

Fri, 22 May 2015 21:55:41 +0100

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/2015/May/22/t1432328285wvxbia87sfwup32.htm/, Retrieved Fri, 03 May 2024 08:08:08 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=279256, Retrieved Fri, 03 May 2024 08:08:08 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

111

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

-       [Blocked Bootstrap Plot - Central Tendency] [] [2015-05-22 20:55:41] [70e23d918d09c907c02097a361cd6415] [Current]

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Dataseries X:

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Histogram

Boxplots

3.5
4.8
6
5.9
3.6
6.8
8.7
8.4
8.1
8.9
8.7
7.8
6.3
7.5
6.8
7
8.8
8.4
7.6
7.9
7.4
8.7
8.7
8
9.4
8.5
5.8
2.8
3.3
4.8
1.8
4.8
-0.9
-6
-9
-21.1
-20.9
-23.5
-20.8
-17.3
-16.1
-13.9
-14.6
-9.2
-9.7
-7.2
-5
-8.1
-6.2
-4.8
-3.1
-1.4
0.6
-0.8
-2
0.2
-0.1
0.3
0.2
2.6
2.5
1.5
5.7
4.3
2.7
1.7
-2.2
-3.2
-0.5
-3.1
-4.8
-1.3
-1.8
-1.7
-2.8
-3.4
-4.9
-4.8
-5.4
-4.7
-6.6
-7.6
-6.8
-5.6
-5.6
-3.7
-5.1
-5.6
-4.1
-3.8
-3.1
-1.4
-2.4
-0.3
-0.3
0.1

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	'Sir Ronald Aylmer Fisher' @ fisher.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 & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=279256&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]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=279256&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=279256&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	'Sir Ronald Aylmer Fisher' @ fisher.wessa.net

Estimation Results of Blocked Bootstrap
statistic	Q1	Estimate	Q3	S.D.	IQR
mean	-2.87317708333333	-0.941666666666667	0.327604166666667	2.28720900921136	3.20078125
median	-2.5	-0.65	1.025	2.67284836220593	3.525
midrange	-7.05	-7.05	-5.85	3.00093947874695	1.2

\begin{tabular}{lllllllll}
\hline
Estimation Results of Blocked Bootstrap \tabularnewline
statistic & Q1 & Estimate & Q3 & S.D. & IQR \tabularnewline
mean & -2.87317708333333 & -0.941666666666667 & 0.327604166666667 & 2.28720900921136 & 3.20078125 \tabularnewline
median & -2.5 & -0.65 & 1.025 & 2.67284836220593 & 3.525 \tabularnewline
midrange & -7.05 & -7.05 & -5.85 & 3.00093947874695 & 1.2 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=279256&T=1

[TABLE]
[ROW][C]Estimation Results of Blocked 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]-2.87317708333333[/C][C]-0.941666666666667[/C][C]0.327604166666667[/C][C]2.28720900921136[/C][C]3.20078125[/C][/ROW]
[ROW][C]median[/C][C]-2.5[/C][C]-0.65[/C][C]1.025[/C][C]2.67284836220593[/C][C]3.525[/C][/ROW]
[ROW][C]midrange[/C][C]-7.05[/C][C]-7.05[/C][C]-5.85[/C][C]3.00093947874695[/C][C]1.2[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=279256&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=279256&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 Blocked Bootstrap
statistic	Q1	Estimate	Q3	S.D.	IQR
mean	-2.87317708333333	-0.941666666666667	0.327604166666667	2.28720900921136	3.20078125
median	-2.5	-0.65	1.025	2.67284836220593	3.525
midrange	-7.05	-7.05	-5.85	3.00093947874695	1.2

Figure 1

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Postscript link

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Figure 2

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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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Figure 6

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PDF link

Figure 7

PNG link

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Parameters (Session):

par1 = 0.01 ; par2 = 0.09 ; par3 = 0.01 ;

Parameters (R input):

par1 = 50 ; par2 = 12 ;

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

par1 <- as.numeric(par1)
par2 <- as.numeric(par2)
if (par1 < 10) par1 = 10
if (par1 > 5000) par1 = 5000
if (par2 < 3) par2 = 3
if (par2 > length(x)) par2 = length(x)
library(lattice)
library(boot)
boot.stat <- function(s)
{
s.mean <- mean(s)
s.median <- median(s)
s.midrange <- (max(s) + min(s)) / 2
c(s.mean, s.median, s.midrange)
}
(r <- tsboot(x, boot.stat, R=par1, l=12, sim='fixed'))
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$t[,3]))
colnames(z) <- list('mean','median','midrange')
bitmap(file='plot7.png')
boxplot(z,notch=TRUE,ylab='simulated values',main='Bootstrap Simulation - Central Tendency')
grid()
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Estimation Results of Blocked Bootstrap',6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'statistic',header=TRUE)
a<-table.element(a,'Q1',header=TRUE)
a<-table.element(a,'Estimate',header=TRUE)
a<-table.element(a,'Q3',header=TRUE)
a<-table.element(a,'S.D.',header=TRUE)
a<-table.element(a,'IQR',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'mean',header=TRUE)
q1 <- quantile(r$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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Input Parameters & R Code