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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationSat, 11 Dec 2010 19:26:53 +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/2010/Dec/11/t1292095561rzu4xiccfyh6u2h.htm/, Retrieved Mon, 06 May 2024 22:48:25 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=108290, Retrieved Mon, 06 May 2024 22:48:25 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact128

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] [SDM aanvoer] [2010-12-11 19:26:53] [de8ccb310fbbdc3d90ae577a3e011cf9] [Current]
-    D    [Standard Deviation-Mean Plot] [SDM interventie] [2010-12-12 16:09:19] [04d4386fa51dbd2ef12d0f1f80644886]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1606
1634
2013
1654
1003
1029
1052
1653
1918
1926
1862
1816
1712
1646
1555
1402
1047
891
940
1372
2012
1879
1667
1856
1771
1721
1773
1507
1033
1011
1111
1736
1865
2078
1947
1428
1500
1950
1591
1613
1077
880
1128
1320
1692
1575
1478
1500
1368
1563
1424
1274
1047
1049
1069
981
1540
1559
1459
1559

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=108290&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]2 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=108290&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=108290&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 time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
11597.16666666667367.1566010532421010
21498.25374.8134384415311121
31581.75363.4671737084881067
41442295.4608111223741070
51324.33333333333230.002898532461582

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 1597.16666666667 & 367.156601053242 & 1010 \tabularnewline
2 & 1498.25 & 374.813438441531 & 1121 \tabularnewline
3 & 1581.75 & 363.467173708488 & 1067 \tabularnewline
4 & 1442 & 295.460811122374 & 1070 \tabularnewline
5 & 1324.33333333333 & 230.002898532461 & 582 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=108290&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]1597.16666666667[/C][C]367.156601053242[/C][C]1010[/C][/ROW]
[ROW][C]2[/C][C]1498.25[/C][C]374.813438441531[/C][C]1121[/C][/ROW]
[ROW][C]3[/C][C]1581.75[/C][C]363.467173708488[/C][C]1067[/C][/ROW]
[ROW][C]4[/C][C]1442[/C][C]295.460811122374[/C][C]1070[/C][/ROW]
[ROW][C]5[/C][C]1324.33333333333[/C][C]230.002898532461[/C][C]582[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=108290&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=108290&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
11597.16666666667367.1566010532421010
21498.25374.8134384415311121
31581.75363.4671737084881067
41442295.4608111223741070
51324.33333333333230.002898532461582






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-441.097083084419
beta0.515400864953341
S.D.0.12746311536398
T-STAT4.04352948287492
p-value0.0272251123897316

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -441.097083084419 \tabularnewline
beta & 0.515400864953341 \tabularnewline
S.D. & 0.12746311536398 \tabularnewline
T-STAT & 4.04352948287492 \tabularnewline
p-value & 0.0272251123897316 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=108290&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-441.097083084419[/C][/ROW]
[ROW][C]beta[/C][C]0.515400864953341[/C][/ROW]
[ROW][C]S.D.[/C][C]0.12746311536398[/C][/ROW]
[ROW][C]T-STAT[/C][C]4.04352948287492[/C][/ROW]
[ROW][C]p-value[/C][C]0.0272251123897316[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=108290&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=108290&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-441.097083084419
beta0.515400864953341
S.D.0.12746311536398
T-STAT4.04352948287492
p-value0.0272251123897316






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-12.8815485434472
beta2.55395692710261
S.D.0.57641039815671
T-STAT4.43079607042111
p-value0.0213605900935921
Lambda-1.55395692710261

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -12.8815485434472 \tabularnewline
beta & 2.55395692710261 \tabularnewline
S.D. & 0.57641039815671 \tabularnewline
T-STAT & 4.43079607042111 \tabularnewline
p-value & 0.0213605900935921 \tabularnewline
Lambda & -1.55395692710261 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=108290&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-12.8815485434472[/C][/ROW]
[ROW][C]beta[/C][C]2.55395692710261[/C][/ROW]
[ROW][C]S.D.[/C][C]0.57641039815671[/C][/ROW]
[ROW][C]T-STAT[/C][C]4.43079607042111[/C][/ROW]
[ROW][C]p-value[/C][C]0.0213605900935921[/C][/ROW]
[ROW][C]Lambda[/C][C]-1.55395692710261[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=108290&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=108290&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-12.8815485434472
beta2.55395692710261
S.D.0.57641039815671
T-STAT4.43079607042111
p-value0.0213605900935921
Lambda-1.55395692710261


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')