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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, 17 Dec 2008 06:27:23 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Dec/17/t1229520496iyc6zke4tksde23.htm/, Retrieved Fri, 17 May 2024 05:46:21 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=34335, Retrieved Fri, 17 May 2024 05:46:21 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact190

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] [opgave 7, oef 1 -...] [2008-12-17 13:00:45] [c856c407fba4e5cac6611e01b62a9c0b]
-   P   [Bootstrap Plot - Central Tendency] [opgave 7, oef 1, ...] [2008-12-17 13:08:39] [c856c407fba4e5cac6611e01b62a9c0b]
-   PD      [Bootstrap Plot - Central Tendency] [opgave 7, oef 2 -...] [2008-12-17 13:27:23] [aa953cee67007b6ac752bcbbd195d3a5] [Current]
-   PD        [Bootstrap Plot - Central Tendency] [opgave 7, oef 2, ...] [2008-12-17 13:30:59] [c856c407fba4e5cac6611e01b62a9c0b]
-   PD        [Bootstrap Plot - Central Tendency] [opgave 7, oef 2, ...] [2008-12-17 13:36:27] [c856c407fba4e5cac6611e01b62a9c0b]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
9,026
9,787
9,536
9,49
9,736
9,694
9,647
9,753
10,07
10,137
9,984
9,732
9,103
9,155
9,308
9,394
9,948
10,177
10,002
9,728
10,002
10,063
10,018
9,96
10,236
10,893
10,756
10,94
10,997
10,827
10,166
10,186
10,457
10,368
10,244
10,511
10,812
10,738
10,171
9,721
9,897
9,828
9,924
10,371
10,846
10,413
10,709
10,662
10,57
10,297
10,635
10,872
10,296
10,383
10,431
10,574
10,653
10,805
10,872
10,625
10,407
10,463
10,556
10,646
10,702
11,353
11,346
11,451
11,964
12,574
13,031
13,812
14,544
14,931
14,886
16,005
17,064
15,168
16,05
15,839
15,137
14,954
15,648
15,305

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time9 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 9 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=34335&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]9 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=34335&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=34335&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 time9 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Estimation Results of Bootstrap
statisticQ1EstimateQ3S.D.IQR
mean10.906473214285711.130619047619011.21856250.2099537128718140.312089285714283
median10.3957510.4610.5016250.1035646603699880.105874999999999
midrange12.602513.04513.0450.2372427018726540.442500000000001

\begin{tabular}{lllllllll}
\hline
Estimation Results of Bootstrap \tabularnewline
statistic & Q1 & Estimate & Q3 & S.D. & IQR \tabularnewline
mean & 10.9064732142857 & 11.1306190476190 & 11.2185625 & 0.209953712871814 & 0.312089285714283 \tabularnewline
median & 10.39575 & 10.46 & 10.501625 & 0.103564660369988 & 0.105874999999999 \tabularnewline
midrange & 12.6025 & 13.045 & 13.045 & 0.237242701872654 & 0.442500000000001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=34335&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]10.9064732142857[/C][C]11.1306190476190[/C][C]11.2185625[/C][C]0.209953712871814[/C][C]0.312089285714283[/C][/ROW]
[ROW][C]median[/C][C]10.39575[/C][C]10.46[/C][C]10.501625[/C][C]0.103564660369988[/C][C]0.105874999999999[/C][/ROW]
[ROW][C]midrange[/C][C]12.6025[/C][C]13.045[/C][C]13.045[/C][C]0.237242701872654[/C][C]0.442500000000001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=34335&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=34335&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
mean10.906473214285711.130619047619011.21856250.2099537128718140.312089285714283
median10.3957510.4610.5016250.1035646603699880.105874999999999
midrange12.602513.04513.0450.2372427018726540.442500000000001


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 50 ;
Parameters (R input):
par1 = 50 ;
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')