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Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Sun, 06 Dec 2009 06:02:19 -0700

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/2009/Dec/06/t1260104598xde2ee3blaaeuzg.htm/, Retrieved Mon, 06 May 2024 00:19:09 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=64375, Retrieved Mon, 06 May 2024 00:19:09 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

114

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

-     [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-12 13:32:37] [76963dc1903f0f612b6153510a3818cf]
- R  D  [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-17 12:14:40] [76963dc1903f0f612b6153510a3818cf]
-         [Univariate Explorative Data Analysis] [Run Sequence Plot...] [2008-12-22 18:19:51] [1ce0d16c8f4225c977b42c8fa93bc163]
- RMP       [Standard Deviation-Mean Plot] [Identifying Integ...] [2009-11-22 12:50:05] [b98453cac15ba1066b407e146608df68]
-    D          [Standard Deviation-Mean Plot] [] [2009-12-06 13:02:19] [0545e25c765ce26b196961216dc11e13] [Current]

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Boxplots

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=64375&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' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=64375&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=64375&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	1 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	8377.83333333333	430.14708548532	1282
2	8774.25	549.321751220208	1704
3	8149.25	583.960634569894	1613
4	7590.58333333333	537.449102593713	1593
5	7000.58333333333	492.353985430906	1420
6	7077.66666666667	381.608160131289	1163
7	8924.25	1047.78008839468	3712

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 8377.83333333333 & 430.14708548532 & 1282 \tabularnewline
2 & 8774.25 & 549.321751220208 & 1704 \tabularnewline
3 & 8149.25 & 583.960634569894 & 1613 \tabularnewline
4 & 7590.58333333333 & 537.449102593713 & 1593 \tabularnewline
5 & 7000.58333333333 & 492.353985430906 & 1420 \tabularnewline
6 & 7077.66666666667 & 381.608160131289 & 1163 \tabularnewline
7 & 8924.25 & 1047.78008839468 & 3712 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=64375&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]8377.83333333333[/C][C]430.14708548532[/C][C]1282[/C][/ROW]
[ROW][C]2[/C][C]8774.25[/C][C]549.321751220208[/C][C]1704[/C][/ROW]
[ROW][C]3[/C][C]8149.25[/C][C]583.960634569894[/C][C]1613[/C][/ROW]
[ROW][C]4[/C][C]7590.58333333333[/C][C]537.449102593713[/C][C]1593[/C][/ROW]
[ROW][C]5[/C][C]7000.58333333333[/C][C]492.353985430906[/C][C]1420[/C][/ROW]
[ROW][C]6[/C][C]7077.66666666667[/C][C]381.608160131289[/C][C]1163[/C][/ROW]
[ROW][C]7[/C][C]8924.25[/C][C]1047.78008839468[/C][C]3712[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=64375&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=64375&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	8377.83333333333	430.14708548532	1282
2	8774.25	549.321751220208	1704
3	8149.25	583.960634569894	1613
4	7590.58333333333	537.449102593713	1593
5	7000.58333333333	492.353985430906	1420
6	7077.66666666667	381.608160131289	1163
7	8924.25	1047.78008839468	3712

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-831.485278087467
beta	0.176100196431753
S.D.	0.0990222822637308
T-STAT	1.77838959480592
p-value	0.135475629857700

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -831.485278087467 \tabularnewline
beta & 0.176100196431753 \tabularnewline
S.D. & 0.0990222822637308 \tabularnewline
T-STAT & 1.77838959480592 \tabularnewline
p-value & 0.135475629857700 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=64375&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-831.485278087467[/C][/ROW]
[ROW][C]beta[/C][C]0.176100196431753[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0990222822637308[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.77838959480592[/C][/ROW]
[ROW][C]p-value[/C][C]0.135475629857700[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=64375&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=64375&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	-831.485278087467
beta	0.176100196431753
S.D.	0.0990222822637308
T-STAT	1.77838959480592
p-value	0.135475629857700

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-12.2856254608659
beta	2.0698348575908
S.D.	1.13573985438656
T-STAT	1.82245507155225
p-value	0.128004174560153
Lambda	-1.06983485759080

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -12.2856254608659 \tabularnewline
beta & 2.0698348575908 \tabularnewline
S.D. & 1.13573985438656 \tabularnewline
T-STAT & 1.82245507155225 \tabularnewline
p-value & 0.128004174560153 \tabularnewline
Lambda & -1.06983485759080 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=64375&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-12.2856254608659[/C][/ROW]
[ROW][C]beta[/C][C]2.0698348575908[/C][/ROW]
[ROW][C]S.D.[/C][C]1.13573985438656[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.82245507155225[/C][/ROW]
[ROW][C]p-value[/C][C]0.128004174560153[/C][/ROW]
[ROW][C]Lambda[/C][C]-1.06983485759080[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=64375&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=64375&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	-12.2856254608659
beta	2.0698348575908
S.D.	1.13573985438656
T-STAT	1.82245507155225
p-value	0.128004174560153
Lambda	-1.06983485759080

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