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Author's title

Author

*Unverified author*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Mon, 09 Mar 2015 10:16:40 +0000

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2015/Mar/09/t1425896288r370w59pgt2p7ia.htm/, Retrieved Sun, 19 May 2024 21:17:16 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=278076, Retrieved Sun, 19 May 2024 21:17:16 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

143

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-     [(Partial) Autocorrelation Function] [Auto Correlatie L...] [2015-03-02 07:35:30] [110a48b2e0105bb86f6db58fdf2bbafc]
- RMPD  [Standard Deviation Plot] [Verkoop Mini Nede...] [2015-03-09 10:00:43] [110a48b2e0105bb86f6db58fdf2bbafc]
- RM D      [Standard Deviation-Mean Plot] [spreidings- en ge...] [2015-03-09 10:16:40] [70d22f55a70f3427b60459805adf1606] [Current]

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Dataseries X:

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Histogram

Boxplots

7.8
8
8.1
8.2
8.1
7.7
6.9
6.6
6.7
7
7.1
7
6.9
6.8
6.8
7
7
6.8
6.7
6.6
6.4
6.4
6.4
6.5
6.6
6.5
6.3
6.2
6.1
6.5
7.1
7.2
6.9
6.2
6
6.2
6.9
7.4
7.8
7.8
7.7
7.7
7.6
7.6
7.7
8
8.2
8.4
8.2
8.1
8.1
8.2
8.3
8.4
8.5
8.3
8.1
7.9
7.7
7.6
7.4
7.3
7
6.8
6.8
6.9
7.3
7.5
7.5
7.2
7
6.9
7
7.1
7.1
7.2
7.3
7.3
7.2
7.5
8
8.7
9
9
8.8
8.5
8.5
8.5
8.5
8.6
8.7
8.8
8.8
8.7
8.7
8.8

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=278076&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' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=278076&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=278076&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 Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Gwilym Jenkins' @ jenkins.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	7.43333333333333	0.603524998854583	1.6
2	6.69166666666667	0.227469611690055	0.6
3	6.48333333333333	0.397339637940626	1.2
4	7.73333333333333	0.379792606882262	1.5
5	8.11666666666667	0.269117525301201	0.9
6	7.13333333333333	0.264001836540903	0.7
7	7.7	0.771067736677819	2
8	8.65833333333333	0.131137217055151	0.300000000000001

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 7.43333333333333 & 0.603524998854583 & 1.6 \tabularnewline
2 & 6.69166666666667 & 0.227469611690055 & 0.6 \tabularnewline
3 & 6.48333333333333 & 0.397339637940626 & 1.2 \tabularnewline
4 & 7.73333333333333 & 0.379792606882262 & 1.5 \tabularnewline
5 & 8.11666666666667 & 0.269117525301201 & 0.9 \tabularnewline
6 & 7.13333333333333 & 0.264001836540903 & 0.7 \tabularnewline
7 & 7.7 & 0.771067736677819 & 2 \tabularnewline
8 & 8.65833333333333 & 0.131137217055151 & 0.300000000000001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=278076&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]7.43333333333333[/C][C]0.603524998854583[/C][C]1.6[/C][/ROW]
[ROW][C]2[/C][C]6.69166666666667[/C][C]0.227469611690055[/C][C]0.6[/C][/ROW]
[ROW][C]3[/C][C]6.48333333333333[/C][C]0.397339637940626[/C][C]1.2[/C][/ROW]
[ROW][C]4[/C][C]7.73333333333333[/C][C]0.379792606882262[/C][C]1.5[/C][/ROW]
[ROW][C]5[/C][C]8.11666666666667[/C][C]0.269117525301201[/C][C]0.9[/C][/ROW]
[ROW][C]6[/C][C]7.13333333333333[/C][C]0.264001836540903[/C][C]0.7[/C][/ROW]
[ROW][C]7[/C][C]7.7[/C][C]0.771067736677819[/C][C]2[/C][/ROW]
[ROW][C]8[/C][C]8.65833333333333[/C][C]0.131137217055151[/C][C]0.300000000000001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=278076&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=278076&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
Section	Mean	Standard Deviation	Range
1	7.43333333333333	0.603524998854583	1.6
2	6.69166666666667	0.227469611690055	0.6
3	6.48333333333333	0.397339637940626	1.2
4	7.73333333333333	0.379792606882262	1.5
5	8.11666666666667	0.269117525301201	0.9
6	7.13333333333333	0.264001836540903	0.7
7	7.7	0.771067736677819	2
8	8.65833333333333	0.131137217055151	0.300000000000001

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	0.679105607912674
beta	-0.0398564419075696
S.D.	0.118790135717029
T-STAT	-0.335519794358277
p-value	0.748653983524917

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.679105607912674 \tabularnewline
beta & -0.0398564419075696 \tabularnewline
S.D. & 0.118790135717029 \tabularnewline
T-STAT & -0.335519794358277 \tabularnewline
p-value & 0.748653983524917 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=278076&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.679105607912674[/C][/ROW]
[ROW][C]beta[/C][C]-0.0398564419075696[/C][/ROW]
[ROW][C]S.D.[/C][C]0.118790135717029[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.335519794358277[/C][/ROW]
[ROW][C]p-value[/C][C]0.748653983524917[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=278076&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=278076&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)
alpha	0.679105607912674
beta	-0.0398564419075696
S.D.	0.118790135717029
T-STAT	-0.335519794358277
p-value	0.748653983524917

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	2.00204302612864
beta	-1.54408950107404
S.D.	2.29868752776415
T-STAT	-0.671726575458438
p-value	0.526760934584024
Lambda	2.54408950107404

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 2.00204302612864 \tabularnewline
beta & -1.54408950107404 \tabularnewline
S.D. & 2.29868752776415 \tabularnewline
T-STAT & -0.671726575458438 \tabularnewline
p-value & 0.526760934584024 \tabularnewline
Lambda & 2.54408950107404 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=278076&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]2.00204302612864[/C][/ROW]
[ROW][C]beta[/C][C]-1.54408950107404[/C][/ROW]
[ROW][C]S.D.[/C][C]2.29868752776415[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.671726575458438[/C][/ROW]
[ROW][C]p-value[/C][C]0.526760934584024[/C][/ROW]
[ROW][C]Lambda[/C][C]2.54408950107404[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=278076&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=278076&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)
alpha	2.00204302612864
beta	-1.54408950107404
S.D.	2.29868752776415
T-STAT	-0.671726575458438
p-value	0.526760934584024
Lambda	2.54408950107404

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code