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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_bootstrapplot1.wasp
Title produced by softwareBootstrap Plot - Central Tendency
Date of computationWed, 09 Jan 2013 06:45:46 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/Jan/09/t1357732017ji8e74xkgjy9lf3.htm/, Retrieved Mon, 29 Apr 2024 10:09:03 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=205105, Retrieved Mon, 29 Apr 2024 10:09:03 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact158

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Bootstrap Plot - Central Tendency] [maximumprijzen st...] [2013-01-09 11:37:25] [251e6916fe5b161c77205c1c19032f50]
- R P   [Bootstrap Plot - Central Tendency] [maximumprijzen st...] [2013-01-09 11:42:15] [251e6916fe5b161c77205c1c19032f50]
-   P       [Bootstrap Plot - Central Tendency] [maximumprijzen st...] [2013-01-09 11:45:46] [3e2b14d12dd0cca2f2b67dfbdf2cdaf9] [Current]
- RMPD        [Blocked Bootstrap Plot - Central Tendency] [niet werkende wer...] [2013-01-09 16:05:30] [251e6916fe5b161c77205c1c19032f50]
- R P           [Blocked Bootstrap Plot - Central Tendency] [niet werkende wer...] [2013-01-09 16:11:50] [251e6916fe5b161c77205c1c19032f50]
- R P           [Blocked Bootstrap Plot - Central Tendency] [niet werkende wer...] [2013-01-09 16:14:18] [251e6916fe5b161c77205c1c19032f50]
- RMPD          [Variability] [maximumprijzen st...] [2013-01-09 16:49:45] [251e6916fe5b161c77205c1c19032f50]
- RMPD          [Standard Deviation Plot] [aantal nieuwe ins...] [2013-01-09 16:55:24] [251e6916fe5b161c77205c1c19032f50]
- RMPD          [Standard Deviation-Mean Plot] [aantal inschrijvi...] [2013-01-09 17:03:14] [251e6916fe5b161c77205c1c19032f50]
- RMP           [Variability] [aantal niet werke...] [2013-01-09 17:09:53] [251e6916fe5b161c77205c1c19032f50]
- RMP           [Variability] [niet werkende wer...] [2013-01-09 17:09:53] [251e6916fe5b161c77205c1c19032f50]
- RMP           [Standard Deviation Plot] [niet werkende wer...] [2013-01-09 17:15:26] [251e6916fe5b161c77205c1c19032f50]
- RMP           [Standard Deviation-Mean Plot] [niet werkende wer...] [2013-01-09 17:29:23] [251e6916fe5b161c77205c1c19032f50]
- RMPD          [Classical Decomposition] [aantal nieuwe ins...] [2013-01-09 17:44:28] [251e6916fe5b161c77205c1c19032f50]
- RMP           [Classical Decomposition] [niet werkende wer...] [2013-01-09 18:03:13] [251e6916fe5b161c77205c1c19032f50]
- RMPD          [Exponential Smoothing] [aantal nieuwe ins...] [2013-01-09 18:12:47] [2f0f353a58a70fd7baf0f5141860d820]
- RMP           [Exponential Smoothing] [niet werkende wer...] [2013-01-09 18:14:43] [2f0f353a58a70fd7baf0f5141860d820]
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Dataset

Dataseries X:
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Histogram
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Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time33 seconds
R Server'George Udny Yule' @ yule.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 & 33 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=205105&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]33 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=205105&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=205105&T=0

As an alternative you can also use a QR Code:  
QR Code


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

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time33 seconds
R Server'George Udny Yule' @ yule.wessa.net






Estimation Results of Bootstrap
statisticQ1EstimateQ3S.D.IQR
mean23.02123.16623.3220.225610.30083
median222224.51.30212.5
midrange27.535353.57587.5
mode25252500
mode k.dens22.9292523.0041.94710.075

\begin{tabular}{lllllllll}
\hline
Estimation Results of Bootstrap \tabularnewline
statistic & Q1 & Estimate & Q3 & S.D. & IQR \tabularnewline
mean & 23.021 & 23.166 & 23.322 & 0.22561 & 0.30083 \tabularnewline
median & 22 & 22 & 24.5 & 1.3021 & 2.5 \tabularnewline
midrange & 27.5 & 35 & 35 & 3.5758 & 7.5 \tabularnewline
mode & 25 & 25 & 25 & 0 & 0 \tabularnewline
mode k.dens & 22.929 & 25 & 23.004 & 1.9471 & 0.075 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=205105&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]23.021[/C][C]23.166[/C][C]23.322[/C][C]0.22561[/C][C]0.30083[/C][/ROW]
[ROW][C]median[/C][C]22[/C][C]22[/C][C]24.5[/C][C]1.3021[/C][C]2.5[/C][/ROW]
[ROW][C]midrange[/C][C]27.5[/C][C]35[/C][C]35[/C][C]3.5758[/C][C]7.5[/C][/ROW]
[ROW][C]mode[/C][C]25[/C][C]25[/C][C]25[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]mode k.dens[/C][C]22.929[/C][C]25[/C][C]23.004[/C][C]1.9471[/C][C]0.075[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=205105&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=205105&T=1

As an alternative you can also use a QR Code:  
QR Code


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

Estimation Results of Bootstrap
statisticQ1EstimateQ3S.D.IQR
mean23.02123.16623.3220.225610.30083
median222224.51.30212.5
midrange27.535353.57587.5
mode25252500
mode k.dens22.9292523.0041.94710.075


Figures (Output of Computation)

Figure 1
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Figure 2
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Figure 5
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Figure 6
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Figure 7
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Figure 9
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Figure 10
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Figure 11
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Input Parameters & R Code

Parameters (Session):
par1 = 750 ; par2 = 5 ; par3 = 0 ;
Parameters (R input):
par1 = 750 ; par2 = 5 ; par3 = 0 ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
par2 <- as.numeric(par2)
if (par3 == '0') bw <- NULL
if (par3 != '0') bw <- as.numeric(par3)
if (par1 < 10) par1 = 10
if (par1 > 5000) par1 = 5000
library(modeest)
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
s.mode <- mlv(s[i], method='mfv')$M
s.kernelmode <- mlv(s[i], method='kernel', bw=bw)$M
c(s.mean, s.median, s.midrange, s.mode, s.kernelmode)
}
(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$t[,3],type='p',ylab='simulated values',main='Simulation of Midrange')
grid()
dev.off()
bitmap(file='plot7.png')
plot(r$t[,4],type='p',ylab='simulated values',main='Simulation of Mode')
grid()
dev.off()
bitmap(file='plot8.png')
plot(r$t[,5],type='p',ylab='simulated values',main='Simulation of Mode of Kernel Density')
grid()
dev.off()
bitmap(file='plot4.png')
densityplot(~r$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()
bitmap(file='plot9.png')
densityplot(~r$t[,4],col='black',main='Density Plot',xlab='mode')
dev.off()
bitmap(file='plot10.png')
densityplot(~r$t[,5],col='black',main='Density Plot',xlab='mode of kernel dens.')
dev.off()
z <- data.frame(cbind(r$t[,1],r$t[,2],r$t[,3],r$t[,4],r$t[,5]))
colnames(z) <- list('mean','median','midrange','mode','mode k.dens')
bitmap(file='plot11.png')
boxplot(z,notch=TRUE,ylab='simulated values',main='Bootstrap Simulation - Central Tendency')
grid()
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Estimation Results of Bootstrap',6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'statistic',header=TRUE)
a<-table.element(a,'Q1',header=TRUE)
a<-table.element(a,'Estimate',header=TRUE)
a<-table.element(a,'Q3',header=TRUE)
a<-table.element(a,'S.D.',header=TRUE)
a<-table.element(a,'IQR',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'mean',header=TRUE)
q1 <- quantile(r$t[,1],0.25)[[1]]
q3 <- quantile(r$t[,1],0.75)[[1]]
a<-table.element(a,signif(q1,par2))
a<-table.element(a,signif(r$t0[1],par2))
a<-table.element(a,signif(q3,par2))
a<-table.element( a,signif( sqrt(var(r$t[,1])),par2 ) )
a<-table.element(a,signif(q3-q1,par2))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'median',header=TRUE)
q1 <- quantile(r$t[,2],0.25)[[1]]
q3 <- quantile(r$t[,2],0.75)[[1]]
a<-table.element(a,signif(q1,par2))
a<-table.element(a,signif(r$t0[2],par2))
a<-table.element(a,signif(q3,par2))
a<-table.element(a,signif(sqrt(var(r$t[,2])),par2))
a<-table.element(a,signif(q3-q1,par2))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'midrange',header=TRUE)
q1 <- quantile(r$t[,3],0.25)[[1]]
q3 <- quantile(r$t[,3],0.75)[[1]]
a<-table.element(a,signif(q1,par2))
a<-table.element(a,signif(r$t0[3],par2))
a<-table.element(a,signif(q3,par2))
a<-table.element(a,signif(sqrt(var(r$t[,3])),par2))
a<-table.element(a,signif(q3-q1,par2))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'mode',header=TRUE)
q1 <- quantile(r$t[,4],0.25)[[1]]
q3 <- quantile(r$t[,4],0.75)[[1]]
a<-table.element(a,signif(q1,par2))
a<-table.element(a,signif(r$t0[4],par2))
a<-table.element(a,signif(q3,par2))
a<-table.element(a,signif(sqrt(var(r$t[,4])),par2))
a<-table.element(a,signif(q3-q1,par2))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'mode k.dens',header=TRUE)
q1 <- quantile(r$t[,5],0.25)[[1]]
q3 <- quantile(r$t[,5],0.75)[[1]]
a<-table.element(a,signif(q1,par2))
a<-table.element(a,signif(r$t0[5],par2))
a<-table.element(a,signif(q3,par2))
a<-table.element(a,signif(sqrt(var(r$t[,5])),par2))
a<-table.element(a,signif(q3-q1,par2))
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')