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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

Mon, 05 Dec 2011 15:31:10 -0500

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/2011/Dec/05/t1323117092trrakk14yq9m5g0.htm/, Retrieved Fri, 03 May 2024 14:23:38 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=151255, Retrieved Fri, 03 May 2024 14:23:38 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

131

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

-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Standard Deviation-Mean Plot] [Unemployment] [2010-11-29 10:34:47] [b98453cac15ba1066b407e146608df68]
- R PD    [Standard Deviation-Mean Plot] [WS9 3.2 SMP] [2010-12-07 14:36:57] [afe9379cca749d06b3d6872e02cc47ed]
- R PD        [Standard Deviation-Mean Plot] [ws9-8] [2011-12-05 20:31:10] [47995d3a8fac585eeb070a274b466f8c] [Current]
-  MP           [Standard Deviation-Mean Plot] [paper2-8] [2011-12-21 20:54:26] [f7a862281046b7153543b12c78921b36] 

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Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	0 seconds
R Server	'Gertrude Mary Cox' @ cox.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 & 0 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=151255&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=151255&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=151255&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	0 seconds
R Server	'Gertrude Mary Cox' @ cox.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	2250.16666666667	359.456871438344	1067
2	2442.83333333333	327.808378985854	1117
3	2552.33333333333	299.227287687754	1142
4	2612.91666666667	260.063089664913	884
5	2617.08333333333	347.365790520947	1204

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 2250.16666666667 & 359.456871438344 & 1067 \tabularnewline
2 & 2442.83333333333 & 327.808378985854 & 1117 \tabularnewline
3 & 2552.33333333333 & 299.227287687754 & 1142 \tabularnewline
4 & 2612.91666666667 & 260.063089664913 & 884 \tabularnewline
5 & 2617.08333333333 & 347.365790520947 & 1204 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=151255&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]2250.16666666667[/C][C]359.456871438344[/C][C]1067[/C][/ROW]
[ROW][C]2[/C][C]2442.83333333333[/C][C]327.808378985854[/C][C]1117[/C][/ROW]
[ROW][C]3[/C][C]2552.33333333333[/C][C]299.227287687754[/C][C]1142[/C][/ROW]
[ROW][C]4[/C][C]2612.91666666667[/C][C]260.063089664913[/C][C]884[/C][/ROW]
[ROW][C]5[/C][C]2617.08333333333[/C][C]347.365790520947[/C][C]1204[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=151255&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=151255&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	2250.16666666667	359.456871438344	1067
2	2442.83333333333	327.808378985854	1117
3	2552.33333333333	299.227287687754	1142
4	2612.91666666667	260.063089664913	884
5	2617.08333333333	347.365790520947	1204

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	713.340636293227
beta	-0.158134593317613
S.D.	0.118821146410184
T-STAT	-1.33086237673313
p-value	0.275342137538715

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 713.340636293227 \tabularnewline
beta & -0.158134593317613 \tabularnewline
S.D. & 0.118821146410184 \tabularnewline
T-STAT & -1.33086237673313 \tabularnewline
p-value & 0.275342137538715 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=151255&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]713.340636293227[/C][/ROW]
[ROW][C]beta[/C][C]-0.158134593317613[/C][/ROW]
[ROW][C]S.D.[/C][C]0.118821146410184[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.33086237673313[/C][/ROW]
[ROW][C]p-value[/C][C]0.275342137538715[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=151255&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=151255&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	713.340636293227
beta	-0.158134593317613
S.D.	0.118821146410184
T-STAT	-1.33086237673313
p-value	0.275342137538715

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	15.4068183915236
beta	-1.23379818593786
S.D.	0.949940578444475
T-STAT	-1.29881617222648
p-value	0.284823812045035
Lambda	2.23379818593786

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 15.4068183915236 \tabularnewline
beta & -1.23379818593786 \tabularnewline
S.D. & 0.949940578444475 \tabularnewline
T-STAT & -1.29881617222648 \tabularnewline
p-value & 0.284823812045035 \tabularnewline
Lambda & 2.23379818593786 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=151255&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]15.4068183915236[/C][/ROW]
[ROW][C]beta[/C][C]-1.23379818593786[/C][/ROW]
[ROW][C]S.D.[/C][C]0.949940578444475[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.29881617222648[/C][/ROW]
[ROW][C]p-value[/C][C]0.284823812045035[/C][/ROW]
[ROW][C]Lambda[/C][C]2.23379818593786[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=151255&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=151255&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	15.4068183915236
beta	-1.23379818593786
S.D.	0.949940578444475
T-STAT	-1.29881617222648
p-value	0.284823812045035
Lambda	2.23379818593786

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 1 ; par2 = 0 ; par3 = 1 ; par4 = 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