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Author*The author of this computation has been verified*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationWed, 17 Dec 2014 13:17:42 +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/2014/Dec/17/t1418822270fi18796bvckbsnm.htm/, Retrieved Thu, 31 Oct 2024 23:12:58 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=270191, Retrieved Thu, 31 Oct 2024 23:12:58 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact94
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Standard Deviation-Mean Plot] [smp] [2014-12-17 13:17:42] [ec1b40d1a9751af99658fe8fca4f9eca] [Current]
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Dataseries X:
12.9
12.2
12.8
7.4
6.7
12.6
14.8
13.3
11.1
8.2
11.4
6.4
10.6
12
6.3
11.3
11.9
9.3
9.6
10
6.4
13.8
10.8
13.8
11.7
10.9
16.1
13.4
9.9
11.5
8.3
11.7
9
9.7
10.8
10.3
10.4
12.7
9.3
11.8
5.9
11.4
13
10.8
12.3
11.3
11.8
7.9
12.7
12.3
11.6
6.7
10.9
12.1
13.3
10.1
5.7
14.3
8
13.3
9.3
12.5
7.6
15.9
9.2
9.1
11.1
13
14.5
12.2
12.3
11.4
8.8
14.6
12.6
13
12.6
13.2
9.9
7.7
10.5
13.4
10.9
4.3
10.3
11.8
11.2
11.4
8.6
13.2
12.6
5.6
9.9
8.8
7.7
9
7.3
11.4
13.6
7.9
10.7
10.3
8.3
9.6
14.2
8.5
13.5
4.9
6.4
9.6
11.6
11.1




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ jenkins.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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270191&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270191&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270191&T=0

As an alternative you can also use a 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 time1 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net







Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
110.81666666666672.873019739619358.4
210.48333333333332.405989999727327.5
311.10833333333332.079973047610937.8
410.71666666666672.090164557825027.1
510.91666666666672.762355165543728.6
611.50833333333332.412263491311678.3
710.95833333333332.9348868131600210.3
810.00833333333332.190665458602747.6
910.01666666666672.834794632078429.3

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 10.8166666666667 & 2.87301973961935 & 8.4 \tabularnewline
2 & 10.4833333333333 & 2.40598999972732 & 7.5 \tabularnewline
3 & 11.1083333333333 & 2.07997304761093 & 7.8 \tabularnewline
4 & 10.7166666666667 & 2.09016455782502 & 7.1 \tabularnewline
5 & 10.9166666666667 & 2.76235516554372 & 8.6 \tabularnewline
6 & 11.5083333333333 & 2.41226349131167 & 8.3 \tabularnewline
7 & 10.9583333333333 & 2.93488681316002 & 10.3 \tabularnewline
8 & 10.0083333333333 & 2.19066545860274 & 7.6 \tabularnewline
9 & 10.0166666666667 & 2.83479463207842 & 9.3 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270191&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]10.8166666666667[/C][C]2.87301973961935[/C][C]8.4[/C][/ROW]
[ROW][C]2[/C][C]10.4833333333333[/C][C]2.40598999972732[/C][C]7.5[/C][/ROW]
[ROW][C]3[/C][C]11.1083333333333[/C][C]2.07997304761093[/C][C]7.8[/C][/ROW]
[ROW][C]4[/C][C]10.7166666666667[/C][C]2.09016455782502[/C][C]7.1[/C][/ROW]
[ROW][C]5[/C][C]10.9166666666667[/C][C]2.76235516554372[/C][C]8.6[/C][/ROW]
[ROW][C]6[/C][C]11.5083333333333[/C][C]2.41226349131167[/C][C]8.3[/C][/ROW]
[ROW][C]7[/C][C]10.9583333333333[/C][C]2.93488681316002[/C][C]10.3[/C][/ROW]
[ROW][C]8[/C][C]10.0083333333333[/C][C]2.19066545860274[/C][C]7.6[/C][/ROW]
[ROW][C]9[/C][C]10.0166666666667[/C][C]2.83479463207842[/C][C]9.3[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270191&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270191&T=1

As an alternative you can also use a QR Code:  

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

Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
110.81666666666672.873019739619358.4
210.48333333333332.405989999727327.5
311.10833333333332.079973047610937.8
410.71666666666672.090164557825027.1
510.91666666666672.762355165543728.6
611.50833333333332.412263491311678.3
710.95833333333332.9348868131600210.3
810.00833333333332.190665458602747.6
910.01666666666672.834794632078429.3







Regression: S.E.(k) = alpha + beta * Mean(k)
alpha2.69339617656438
beta-0.0171593855345333
S.D.0.266911138828988
T-STAT-0.0642887577109603
p-value0.950537690992341

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 2.69339617656438 \tabularnewline
beta & -0.0171593855345333 \tabularnewline
S.D. & 0.266911138828988 \tabularnewline
T-STAT & -0.0642887577109603 \tabularnewline
p-value & 0.950537690992341 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270191&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]2.69339617656438[/C][/ROW]
[ROW][C]beta[/C][C]-0.0171593855345333[/C][/ROW]
[ROW][C]S.D.[/C][C]0.266911138828988[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.0642887577109603[/C][/ROW]
[ROW][C]p-value[/C][C]0.950537690992341[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270191&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270191&T=2

As an alternative you can also use a QR Code:  

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

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha2.69339617656438
beta-0.0171593855345333
S.D.0.266911138828988
T-STAT-0.0642887577109603
p-value0.950537690992341







Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha1.0580332048042
beta-0.0618342517662491
S.D.1.1466382068708
T-STAT-0.0539265579986178
p-value0.958500458179557
Lambda1.06183425176625

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 1.0580332048042 \tabularnewline
beta & -0.0618342517662491 \tabularnewline
S.D. & 1.1466382068708 \tabularnewline
T-STAT & -0.0539265579986178 \tabularnewline
p-value & 0.958500458179557 \tabularnewline
Lambda & 1.06183425176625 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270191&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]1.0580332048042[/C][/ROW]
[ROW][C]beta[/C][C]-0.0618342517662491[/C][/ROW]
[ROW][C]S.D.[/C][C]1.1466382068708[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.0539265579986178[/C][/ROW]
[ROW][C]p-value[/C][C]0.958500458179557[/C][/ROW]
[ROW][C]Lambda[/C][C]1.06183425176625[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270191&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270191&T=3

As an alternative you can also use a QR Code:  

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

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha1.0580332048042
beta-0.0618342517662491
S.D.1.1466382068708
T-STAT-0.0539265579986178
p-value0.958500458179557
Lambda1.06183425176625



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')