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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 computationTue, 22 Nov 2011 02:54:34 -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/2011/Nov/22/t1321948569mlk46eamzhzencm.htm/, Retrieved Sat, 20 Apr 2024 15:28:08 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=146070, Retrieved Sat, 20 Apr 2024 15:28:08 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W22
Estimated Impact109

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] [Gemiddelde consum...] [2011-11-22 07:54:34] [53570eb7f05113140c3a155d32e971f0] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
9.26
9.27
9.29
9.27
9.29
9.31
9.33
9.35
9.34
9.35
9.38
9.43
9.47
9.5
9.55
9.58
9.61
9.57
9.61
9.65
9.62
9.63
9.62
9.63
9.65
9.72
9.75
9.77
9.78
9.82
9.84
9.9
9.94
9.96
10.03
10.03
10.12
10.12
10.05
10.14
10.17
10.2
10.2
10.35
10.43
10.52
10.57
10.57
10.57
10.65
10.57
10.61
10.63
10.71
10.72
10.77
10.79
10.82
10.9
10.83
10.92
10.91
10.88
10.87
11
10.99
11.03
11.04
10.99
10.9
11
10.99
10.92
10.98
11.15
11.19
11.33
11.38
11.4
11.45
11.56
11.61
11.82
11.77
11.85
11.82
11.92
11.86
11.87
11.94
11.86
11.92
11.83
11.91
11.93
11.99
11.96
12.12
11.85
12.01
12.1
12.21
12.31
12.31
12.39
12.35
12.41
12.51
12.27
12.51
12.44
12.47
12.51
12.58
12.5
12.52
12.59
12.51
12.67
12.64
12.54
12.6
12.67
12.62
12.72
12.85
12.85
12.82
12.79
12.94
12.71
12.56

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=146070&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=146070&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=146070&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 time3 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net






Estimation Results of Bootstrap
statisticQ1EstimateQ3S.D.IQR
mean10.957272727272711.040151515151511.09026515151520.1057304699180850.132992424242424
median10.8987510.9510.9950.1430723869744710.0962500000000013
midrange11.0611.111.10.02397862060734870.0400000000000009

\begin{tabular}{lllllllll}
\hline
Estimation Results of Bootstrap \tabularnewline
statistic & Q1 & Estimate & Q3 & S.D. & IQR \tabularnewline
mean & 10.9572727272727 & 11.0401515151515 & 11.0902651515152 & 0.105730469918085 & 0.132992424242424 \tabularnewline
median & 10.89875 & 10.95 & 10.995 & 0.143072386974471 & 0.0962500000000013 \tabularnewline
midrange & 11.06 & 11.1 & 11.1 & 0.0239786206073487 & 0.0400000000000009 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=146070&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]10.9572727272727[/C][C]11.0401515151515[/C][C]11.0902651515152[/C][C]0.105730469918085[/C][C]0.132992424242424[/C][/ROW]
[ROW][C]median[/C][C]10.89875[/C][C]10.95[/C][C]10.995[/C][C]0.143072386974471[/C][C]0.0962500000000013[/C][/ROW]
[ROW][C]midrange[/C][C]11.06[/C][C]11.1[/C][C]11.1[/C][C]0.0239786206073487[/C][C]0.0400000000000009[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=146070&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=146070&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
mean10.957272727272711.040151515151511.09026515151520.1057304699180850.132992424242424
median10.8987510.9510.9950.1430723869744710.0962500000000013
midrange11.0611.111.10.02397862060734870.0400000000000009


Figures (Output of Computation)

Input Parameters & R Code

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')