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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

Fri, 03 Dec 2010 10:35:21 +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/2010/Dec/03/t12913723961wrp4hyss87969e.htm/, Retrieved Wed, 08 May 2024 01:11:26 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=104615, Retrieved Wed, 08 May 2024 01:11:26 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

199

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]
-   PD      [Standard Deviation-Mean Plot] [W9 SMP] [2010-12-03 10:35:21] [59f7d3e7fcb6374015f4e6b9053b0f01] [Current]
-    D        [Standard Deviation-Mean Plot] [W9 SD-Mean] [2010-12-03 11:49:04] [56d90b683fcd93137645f9226b43c62b] 

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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	2 seconds
R Server	'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=104615&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=104615&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=104615&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	'George Udny Yule' @ 72.249.76.132

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	21797.1666666667	2280.73153469086	8042
2	22767.3333333333	2023.89755998996	6563
3	15863.5	3232.18821177908	11172
4	14023.5833333333	1653.27336233487	5419
5	12722.6666666667	1575.03618044062	5669
6	11899.75	1152.49572075719	4447
7	12320.75	1921.60799734351	4716
8	14571.5	2289.88580501299	7418
9	14747.5833333333	2801.77805422762	8962
10	14120.5	2348.98568051675	7212

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 21797.1666666667 & 2280.73153469086 & 8042 \tabularnewline
2 & 22767.3333333333 & 2023.89755998996 & 6563 \tabularnewline
3 & 15863.5 & 3232.18821177908 & 11172 \tabularnewline
4 & 14023.5833333333 & 1653.27336233487 & 5419 \tabularnewline
5 & 12722.6666666667 & 1575.03618044062 & 5669 \tabularnewline
6 & 11899.75 & 1152.49572075719 & 4447 \tabularnewline
7 & 12320.75 & 1921.60799734351 & 4716 \tabularnewline
8 & 14571.5 & 2289.88580501299 & 7418 \tabularnewline
9 & 14747.5833333333 & 2801.77805422762 & 8962 \tabularnewline
10 & 14120.5 & 2348.98568051675 & 7212 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=104615&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]21797.1666666667[/C][C]2280.73153469086[/C][C]8042[/C][/ROW]
[ROW][C]2[/C][C]22767.3333333333[/C][C]2023.89755998996[/C][C]6563[/C][/ROW]
[ROW][C]3[/C][C]15863.5[/C][C]3232.18821177908[/C][C]11172[/C][/ROW]
[ROW][C]4[/C][C]14023.5833333333[/C][C]1653.27336233487[/C][C]5419[/C][/ROW]
[ROW][C]5[/C][C]12722.6666666667[/C][C]1575.03618044062[/C][C]5669[/C][/ROW]
[ROW][C]6[/C][C]11899.75[/C][C]1152.49572075719[/C][C]4447[/C][/ROW]
[ROW][C]7[/C][C]12320.75[/C][C]1921.60799734351[/C][C]4716[/C][/ROW]
[ROW][C]8[/C][C]14571.5[/C][C]2289.88580501299[/C][C]7418[/C][/ROW]
[ROW][C]9[/C][C]14747.5833333333[/C][C]2801.77805422762[/C][C]8962[/C][/ROW]
[ROW][C]10[/C][C]14120.5[/C][C]2348.98568051675[/C][C]7212[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=104615&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=104615&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	21797.1666666667	2280.73153469086	8042
2	22767.3333333333	2023.89755998996	6563
3	15863.5	3232.18821177908	11172
4	14023.5833333333	1653.27336233487	5419
5	12722.6666666667	1575.03618044062	5669
6	11899.75	1152.49572075719	4447
7	12320.75	1921.60799734351	4716
8	14571.5	2289.88580501299	7418
9	14747.5833333333	2801.77805422762	8962
10	14120.5	2348.98568051675	7212

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	1401.29407802308
beta	0.0469336430132596
S.D.	0.0541528486550618
T-STAT	0.866688349346376
p-value	0.411351962731310

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 1401.29407802308 \tabularnewline
beta & 0.0469336430132596 \tabularnewline
S.D. & 0.0541528486550618 \tabularnewline
T-STAT & 0.866688349346376 \tabularnewline
p-value & 0.411351962731310 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=104615&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]1401.29407802308[/C][/ROW]
[ROW][C]beta[/C][C]0.0469336430132596[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0541528486550618[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.866688349346376[/C][/ROW]
[ROW][C]p-value[/C][C]0.411351962731310[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=104615&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=104615&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	1401.29407802308
beta	0.0469336430132596
S.D.	0.0541528486550618
T-STAT	0.866688349346376
p-value	0.411351962731310

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	2.27671978413698
beta	0.555681647355309
S.D.	0.431012714389789
T-STAT	1.28924653218646
p-value	0.233337221490281
Lambda	0.444318352644691

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 2.27671978413698 \tabularnewline
beta & 0.555681647355309 \tabularnewline
S.D. & 0.431012714389789 \tabularnewline
T-STAT & 1.28924653218646 \tabularnewline
p-value & 0.233337221490281 \tabularnewline
Lambda & 0.444318352644691 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=104615&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]2.27671978413698[/C][/ROW]
[ROW][C]beta[/C][C]0.555681647355309[/C][/ROW]
[ROW][C]S.D.[/C][C]0.431012714389789[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.28924653218646[/C][/ROW]
[ROW][C]p-value[/C][C]0.233337221490281[/C][/ROW]
[ROW][C]Lambda[/C][C]0.444318352644691[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=104615&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=104615&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	2.27671978413698
beta	0.555681647355309
S.D.	0.431012714389789
T-STAT	1.28924653218646
p-value	0.233337221490281
Lambda	0.444318352644691

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = Default ; par2 = 1 ; par3 = 0 ; par4 = 0 ; par5 = 12 ; par6 = White Noise ; par7 = 0.95 ;

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