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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

Tue, 21 Dec 2010 20:33:23 +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/21/t12929635011z0ed88o2cea0eg.htm/, Retrieved Sat, 18 May 2024 06:27:20 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=113954, Retrieved Sat, 18 May 2024 06:27:20 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

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] [stationarity in t...] [2010-12-07 21:53:46] [608064602fec1c42028cf50c6f981c88]
-   PD        [Standard Deviation-Mean Plot] [stationarity in t...] [2010-12-21 20:33:23] [8bf9de033bd61652831a8b7489bc3566] [Current]

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Dataseries X:

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Histogram

Boxplots

8.1
9.9
11.5
23.4
25.4
27.9
26.1
18.8
14.1
11.5
15.8
12.4
4.5
-2.2
-4.2
-9.4
-14.5
-17.9
-15.1
-15.2
-15.7
-18
-18.1
-13.5
-9.9
-4.8
-1.7
-0.1
2.2
10.2
7.6
10.8
3.8
11
10.8
20.1
14.9
13
10.9
9.6
4
-1.1
-7.7
-8.9
-8
-7.1
-5.3
-2.5
-2.4
-2.9
-4.8
-7.2
1.7
2.2
13.4
12.3
13.7
4.4
-2.5

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=113954&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=113954&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=113954&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	17.075	6.98987904694417	19.8
2	-11.6083333333333	7.287031860321	22.6
3	5	8.33022972508725	30
4	0.983333333333333	9.01935628960226	23.8

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 17.075 & 6.98987904694417 & 19.8 \tabularnewline
2 & -11.6083333333333 & 7.287031860321 & 22.6 \tabularnewline
3 & 5 & 8.33022972508725 & 30 \tabularnewline
4 & 0.983333333333333 & 9.01935628960226 & 23.8 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=113954&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]17.075[/C][C]6.98987904694417[/C][C]19.8[/C][/ROW]
[ROW][C]2[/C][C]-11.6083333333333[/C][C]7.287031860321[/C][C]22.6[/C][/ROW]
[ROW][C]3[/C][C]5[/C][C]8.33022972508725[/C][C]30[/C][/ROW]
[ROW][C]4[/C][C]0.983333333333333[/C][C]9.01935628960226[/C][C]23.8[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=113954&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=113954&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	17.075	6.98987904694417	19.8
2	-11.6083333333333	7.287031860321	22.6
3	5	8.33022972508725	30
4	0.983333333333333	9.01935628960226	23.8

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	7.9424397411207
beta	-0.0125119687797485
S.D.	0.0554132383801807
T-STAT	-0.225793856224500
p-value	0.842336521293598

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 7.9424397411207 \tabularnewline
beta & -0.0125119687797485 \tabularnewline
S.D. & 0.0554132383801807 \tabularnewline
T-STAT & -0.225793856224500 \tabularnewline
p-value & 0.842336521293598 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=113954&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]7.9424397411207[/C][/ROW]
[ROW][C]beta[/C][C]-0.0125119687797485[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0554132383801807[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.225793856224500[/C][/ROW]
[ROW][C]p-value[/C][C]0.842336521293598[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=113954&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=113954&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	7.9424397411207
beta	-0.0125119687797485
S.D.	0.0554132383801807
T-STAT	-0.225793856224500
p-value	0.842336521293598

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	2.21664579904012
beta	-0.0871757746127129
S.D.	0.0264254786996143
T-STAT	-3.29892887102118
p-value	0.187372909791825
Lambda	1.08717577461271

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 2.21664579904012 \tabularnewline
beta & -0.0871757746127129 \tabularnewline
S.D. & 0.0264254786996143 \tabularnewline
T-STAT & -3.29892887102118 \tabularnewline
p-value & 0.187372909791825 \tabularnewline
Lambda & 1.08717577461271 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=113954&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]2.21664579904012[/C][/ROW]
[ROW][C]beta[/C][C]-0.0871757746127129[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0264254786996143[/C][/ROW]
[ROW][C]T-STAT[/C][C]-3.29892887102118[/C][/ROW]
[ROW][C]p-value[/C][C]0.187372909791825[/C][/ROW]
[ROW][C]Lambda[/C][C]1.08717577461271[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=113954&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=113954&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	2.21664579904012
beta	-0.0871757746127129
S.D.	0.0264254786996143
T-STAT	-3.29892887102118
p-value	0.187372909791825
Lambda	1.08717577461271

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 1 ; par2 = Include Monthly Dummies ; par3 = Linear Trend ;

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