FreeStatistics.org

Free Statistics

of Irreproducible Research!

Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationTue, 02 Jun 2009 06:07:25 -0600
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Jun/02/t1243944481mtvffjbv7s3wfvx.htm/, Retrieved Fri, 10 May 2024 01:48:41 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=41204, Retrieved Fri, 10 May 2024 01:48:41 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact122

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] [Datareeks - Aardo...] [2009-06-02 12:07:25] [900fe54243512ff0c75e5ed1f9ef5c37] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
493395,00
487190,00
519493,00
519453,00
538588,00
438224,00
542034,00
512027,00
619880,00
533737,00
573789,00
589213,00
532168,00
551102,00
593789,00
527106,00
547327,00
601305,00
610872,00
601325,00
642143,00
614216,00
657979,00
673098,00
602297,00
615381,00
703671,00
733852,00
716596,00
745798,00
742027,10
679181,20
739022,70
645410,60
729382,10
671052,70
744954,80
677639,30
778207,20
763316,20
658531,60
831700,10
664156,30
621402,10
683588,70
600023,80
643273,80
653615,90
620177,50
574128,80
599828,00
599369,40
596617,70
616114,60
510226,90
493960,10
634503,30
588556,20
603239,00
617458,20
646543,50
680125,60
731595,80
759600,30
785031,70
849573,30
762342,00
815346,60
929603,20
784057,50
944667,70
1007258,30
664292,70
873207,40
1146510,00
1417266,80
1089387,90
1373379,70
1009397,60
818175,10
1003458,10
961142,70
1121906,60
1141713,30
1042352,60
992223,60
920525,30
1076093,40
967880,40
1236416,10

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' @ 72.249.127.135

\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' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41204&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' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41204&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41204&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' @ 72.249.127.135






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1530585.2548496.1267771599181656
2596035.83333333348368.7014595057145992
3693639.28333333350593.5606664764143501
4693367.48333333370245.8164524968231676.3
5587848.30833333343187.1431955782140543.2
6807978.791666667108182.173955799360714.8
71051653.15833333215185.51508032752974.1

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 530585.25 & 48496.1267771599 & 181656 \tabularnewline
2 & 596035.833333333 & 48368.7014595057 & 145992 \tabularnewline
3 & 693639.283333333 & 50593.5606664764 & 143501 \tabularnewline
4 & 693367.483333333 & 70245.8164524968 & 231676.3 \tabularnewline
5 & 587848.308333333 & 43187.1431955782 & 140543.2 \tabularnewline
6 & 807978.791666667 & 108182.173955799 & 360714.8 \tabularnewline
7 & 1051653.15833333 & 215185.51508032 & 752974.1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41204&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]530585.25[/C][C]48496.1267771599[/C][C]181656[/C][/ROW]
[ROW][C]2[/C][C]596035.833333333[/C][C]48368.7014595057[/C][C]145992[/C][/ROW]
[ROW][C]3[/C][C]693639.283333333[/C][C]50593.5606664764[/C][C]143501[/C][/ROW]
[ROW][C]4[/C][C]693367.483333333[/C][C]70245.8164524968[/C][C]231676.3[/C][/ROW]
[ROW][C]5[/C][C]587848.308333333[/C][C]43187.1431955782[/C][C]140543.2[/C][/ROW]
[ROW][C]6[/C][C]807978.791666667[/C][C]108182.173955799[/C][C]360714.8[/C][/ROW]
[ROW][C]7[/C][C]1051653.15833333[/C][C]215185.51508032[/C][C]752974.1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41204&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41204&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
1530585.2548496.1267771599181656
2596035.83333333348368.7014595057145992
3693639.28333333350593.5606664764143501
4693367.48333333370245.8164524968231676.3
5587848.30833333343187.1431955782140543.2
6807978.791666667108182.173955799360714.8
71051653.15833333215185.51508032752974.1






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-156782.323024111
beta0.338983804027824
S.D.0.0440031070401551
T-STAT7.7036333756724
p-value0.000588098193875225

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -156782.323024111 \tabularnewline
beta & 0.338983804027824 \tabularnewline
S.D. & 0.0440031070401551 \tabularnewline
T-STAT & 7.7036333756724 \tabularnewline
p-value & 0.000588098193875225 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41204&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-156782.323024111[/C][/ROW]
[ROW][C]beta[/C][C]0.338983804027824[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0440031070401551[/C][/ROW]
[ROW][C]T-STAT[/C][C]7.7036333756724[/C][/ROW]
[ROW][C]p-value[/C][C]0.000588098193875225[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41204&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41204&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)
alpha-156782.323024111
beta0.338983804027824
S.D.0.0440031070401551
T-STAT7.7036333756724
p-value0.000588098193875225






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-21.2599565912455
beta2.41079467188735
S.D.0.361987540640918
T-STAT6.65988301039013
p-value0.0011518476848907
Lambda-1.41079467188735

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -21.2599565912455 \tabularnewline
beta & 2.41079467188735 \tabularnewline
S.D. & 0.361987540640918 \tabularnewline
T-STAT & 6.65988301039013 \tabularnewline
p-value & 0.0011518476848907 \tabularnewline
Lambda & -1.41079467188735 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41204&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-21.2599565912455[/C][/ROW]
[ROW][C]beta[/C][C]2.41079467188735[/C][/ROW]
[ROW][C]S.D.[/C][C]0.361987540640918[/C][/ROW]
[ROW][C]T-STAT[/C][C]6.65988301039013[/C][/ROW]
[ROW][C]p-value[/C][C]0.0011518476848907[/C][/ROW]
[ROW][C]Lambda[/C][C]-1.41079467188735[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41204&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41204&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)
alpha-21.2599565912455
beta2.41079467188735
S.D.0.361987540640918
T-STAT6.65988301039013
p-value0.0011518476848907
Lambda-1.41079467188735


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')