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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationSun, 16 Jan 2011 15:35:13 +0000
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/Jan/16/t12951920430dolnezrp87dax9.htm/, Retrieved Wed, 15 May 2024 14:51:25 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=117430, Retrieved Wed, 15 May 2024 14:51:25 +0000
QR Codes:

Original text written by user:Verbetering opgave 8
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W83
Estimated Impact140

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Standard Deviation-Mean Plot] [Het aantal werklo...] [2010-12-06 17:23:48] [3e532679ec753acf7892d78d91c458c8]
-   P     [Standard Deviation-Mean Plot] [Het aantal werklo...] [2011-01-16 15:35:13] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
591000
589000
584000
573000
567000
569000
621000
629000
628000
612000
595000
597000
593000
590000
580000
574000
573000
573000
620000
626000
620000
588000
566000
557000
561000
549000
532000
526000
511000
499000
555000
565000
542000
527000
510000
514000
517000
508000
493000
490000
469000
478000
528000
534000
518000
506000
502000
516000
528000
533000
536000
537000
524000
536000
587000
597000
581000
564000
558000
575000

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R Server'Gwilym Jenkins' @ www.wessa.org

\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 & 0 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ www.wessa.org \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=117430&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]0 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ www.wessa.org[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=117430&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=117430&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 time0 seconds
R Server'Gwilym Jenkins' @ www.wessa.org






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
159625021975.709731014862000
2588333.33333333322712.965193448269000
3532583.33333333321831.829696083466000
4504916.66666666719579.480601028765000
5554666.66666666725535.477400287773000

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 596250 & 21975.7097310148 & 62000 \tabularnewline
2 & 588333.333333333 & 22712.9651934482 & 69000 \tabularnewline
3 & 532583.333333333 & 21831.8296960834 & 66000 \tabularnewline
4 & 504916.666666667 & 19579.4806010287 & 65000 \tabularnewline
5 & 554666.666666667 & 25535.4774002877 & 73000 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=117430&T=1

[TABLE]
[ROW][C]Standard Deviation-Mean Plot[/C][/ROW]
[ROW][C]Section[/C][C]Mean[/C][C]Standard Deviation[/C][C]Range[/C][/ROW]
[ROW][C]1[/C][C]596250[/C][C]21975.7097310148[/C][C]62000[/C][/ROW]
[ROW][C]2[/C][C]588333.333333333[/C][C]22712.9651934482[/C][C]69000[/C][/ROW]
[ROW][C]3[/C][C]532583.333333333[/C][C]21831.8296960834[/C][C]66000[/C][/ROW]
[ROW][C]4[/C][C]504916.666666667[/C][C]19579.4806010287[/C][C]65000[/C][/ROW]
[ROW][C]5[/C][C]554666.666666667[/C][C]25535.4774002877[/C][C]73000[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=117430&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=117430&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:

Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
159625021975.709731014862000
2588333.33333333322712.965193448269000
3532583.33333333321831.829696083466000
4504916.66666666719579.480601028765000
5554666.66666666725535.477400287773000






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha8401.89027237159
beta0.02507464167102
S.D.0.0290080209544865
T-STAT0.864403735448277
p-value0.450948369241973

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 8401.89027237159 \tabularnewline
beta & 0.02507464167102 \tabularnewline
S.D. & 0.0290080209544865 \tabularnewline
T-STAT & 0.864403735448277 \tabularnewline
p-value & 0.450948369241973 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=117430&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]8401.89027237159[/C][/ROW]
[ROW][C]beta[/C][C]0.02507464167102[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0290080209544865[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.864403735448277[/C][/ROW]
[ROW][C]p-value[/C][C]0.450948369241973[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=117430&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=117430&T=2

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


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

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha8401.89027237159
beta0.02507464167102
S.D.0.0290080209544865
T-STAT0.864403735448277
p-value0.450948369241973






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha0.974224483522903
beta0.683204896445191
S.D.0.688877831082552
T-STAT0.991764962695279
p-value0.394421419407448
Lambda0.316795103554809

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 0.974224483522903 \tabularnewline
beta & 0.683204896445191 \tabularnewline
S.D. & 0.688877831082552 \tabularnewline
T-STAT & 0.991764962695279 \tabularnewline
p-value & 0.394421419407448 \tabularnewline
Lambda & 0.316795103554809 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=117430&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.974224483522903[/C][/ROW]
[ROW][C]beta[/C][C]0.683204896445191[/C][/ROW]
[ROW][C]S.D.[/C][C]0.688877831082552[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.991764962695279[/C][/ROW]
[ROW][C]p-value[/C][C]0.394421419407448[/C][/ROW]
[ROW][C]Lambda[/C][C]0.316795103554809[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=117430&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=117430&T=3

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


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

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha0.974224483522903
beta0.683204896445191
S.D.0.688877831082552
T-STAT0.991764962695279
p-value0.394421419407448
Lambda0.316795103554809


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 12 ;
Parameters (R input):
par1 = 12 ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
(n <- length(x))
(np <- floor(n / par1))
arr <- array(NA,dim=c(par1,np))
j <- 0
k <- 1
for (i in 1:(np*par1))
{
j = j + 1
arr[j,k] <- x[i]
if (j == par1) {
j = 0
k=k+1
}
}
arr
arr.mean <- array(NA,dim=np)
arr.sd <- array(NA,dim=np)
arr.range <- array(NA,dim=np)
for (j in 1:np)
{
arr.mean[j] <- mean(arr[,j],na.rm=TRUE)
arr.sd[j] <- sd(arr[,j],na.rm=TRUE)
arr.range[j] <- max(arr[,j],na.rm=TRUE) - min(arr[,j],na.rm=TRUE)
}
arr.mean
arr.sd
arr.range
(lm1 <- lm(arr.sd~arr.mean))
(lnlm1 <- lm(log(arr.sd)~log(arr.mean)))
(lm2 <- lm(arr.range~arr.mean))
bitmap(file='test1.png')
plot(arr.mean,arr.sd,main='Standard Deviation-Mean Plot',xlab='mean',ylab='standard deviation')
dev.off()
bitmap(file='test2.png')
plot(arr.mean,arr.range,main='Range-Mean Plot',xlab='mean',ylab='range')
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Standard Deviation-Mean Plot',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Section',header=TRUE)
a<-table.element(a,'Mean',header=TRUE)
a<-table.element(a,'Standard Deviation',header=TRUE)
a<-table.element(a,'Range',header=TRUE)
a<-table.row.end(a)
for (j in 1:np) {
a<-table.row.start(a)
a<-table.element(a,j,header=TRUE)
a<-table.element(a,arr.mean[j])
a<-table.element(a,arr.sd[j] )
a<-table.element(a,arr.range[j] )
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Regression: S.E.(k) = alpha + beta * Mean(k)',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,lm1$coefficients[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'beta',header=TRUE)
a<-table.element(a,lm1$coefficients[[2]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'S.D.',header=TRUE)
a<-table.element(a,summary(lm1)$coefficients[2,2])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'T-STAT',header=TRUE)
a<-table.element(a,summary(lm1)$coefficients[2,3])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value',header=TRUE)
a<-table.element(a,summary(lm1)$coefficients[2,4])
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Regression: ln S.E.(k) = alpha + beta * ln Mean(k)',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,lnlm1$coefficients[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'beta',header=TRUE)
a<-table.element(a,lnlm1$coefficients[[2]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'S.D.',header=TRUE)
a<-table.element(a,summary(lnlm1)$coefficients[2,2])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'T-STAT',header=TRUE)
a<-table.element(a,summary(lnlm1)$coefficients[2,3])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value',header=TRUE)
a<-table.element(a,summary(lnlm1)$coefficients[2,4])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Lambda',header=TRUE)
a<-table.element(a,1-lnlm1$coefficients[[2]])
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable2.tab')