Repository of Reproducible Computations

Free Statistics

of Irreproducible Research!

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, 07 Dec 2008 07:50:53 -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/2008/Dec/07/t122866158403m8tmmmlwaulxb.htm/, Retrieved Wed, 15 May 2024 04:13:47 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=30033, Retrieved Wed, 15 May 2024 04:13:47 +0000

QR Codes:

Paste this QR Code to cite your computation.

Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

203

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

-     [Spectral Analysis] [spectrum] [2007-12-20 15:13:34] [74be16979710d4c4e7c6647856088456]
- RMPD  [Histogram] [Histogram] [2007-12-21 10:46:00] [74be16979710d4c4e7c6647856088456]
- RMPD    [Standard Deviation-Mean Plot] [SD-Mean plot] [2007-12-21 10:58:39] [74be16979710d4c4e7c6647856088456]
- R PD        [Standard Deviation-Mean Plot] [werkloosheid] [2008-12-07 14:50:53] [5925747fb2a6bb4cfcd8015825ee5e92] [Current]

Feedback Forum

Post a new message

Dataseries X:

Download CSV

Histogram

Boxplots

7,5
7,2
6,9
6,7
6,4
6,3
6,8
7,3
7,1
7,1
6,8
6,5
6,3
6,1
6,1
6,3
6,3
6
6,2
6,4
6,8
7,5
7,5
7,6
7,6
7,4
7,3
7,1
6,9
6,8
7,5
7,6
7,8
8
8,1
8,2
8,3
8,2
8
7,9
7,6
7,6
8,2
8,3
8,4
8,4
8,4
8,6
8,9
8,8
8,3
7,5
7,2
7,5
8,8
9,3
9,3
8,7
8,2
8,3
8,5
8,6
8,6
8,2
8,1
8
8,6
8,7
8,8
8,5
8,4
8,5
8,7
8,7
8,6
8,5
8,3
8,1
8,2
8,1
8,1
7,9
7,9
7,9

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	3 seconds
R Server	'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 3 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=30033&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=30033&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=30033&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	3 seconds
R Server	'Herman Ole Andreas Wold' @ 193.190.124.10:1001

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	6.88333333333333	0.371320330548689	1.2
2	6.59166666666667	0.602205542278976	1.6
3	7.525	0.453521574108463	1.4
4	8.15833333333333	0.320392751402892	1
5	8.4	0.700649049745371	2.1
6	8.45833333333333	0.242930342928074	0.8
7	8.25	0.306000594176488	0.799999999999999

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 6.88333333333333 & 0.371320330548689 & 1.2 \tabularnewline
2 & 6.59166666666667 & 0.602205542278976 & 1.6 \tabularnewline
3 & 7.525 & 0.453521574108463 & 1.4 \tabularnewline
4 & 8.15833333333333 & 0.320392751402892 & 1 \tabularnewline
5 & 8.4 & 0.700649049745371 & 2.1 \tabularnewline
6 & 8.45833333333333 & 0.242930342928074 & 0.8 \tabularnewline
7 & 8.25 & 0.306000594176488 & 0.799999999999999 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=30033&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]6.88333333333333[/C][C]0.371320330548689[/C][C]1.2[/C][/ROW]
[ROW][C]2[/C][C]6.59166666666667[/C][C]0.602205542278976[/C][C]1.6[/C][/ROW]
[ROW][C]3[/C][C]7.525[/C][C]0.453521574108463[/C][C]1.4[/C][/ROW]
[ROW][C]4[/C][C]8.15833333333333[/C][C]0.320392751402892[/C][C]1[/C][/ROW]
[ROW][C]5[/C][C]8.4[/C][C]0.700649049745371[/C][C]2.1[/C][/ROW]
[ROW][C]6[/C][C]8.45833333333333[/C][C]0.242930342928074[/C][C]0.8[/C][/ROW]
[ROW][C]7[/C][C]8.25[/C][C]0.306000594176488[/C][C]0.799999999999999[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=30033&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=30033&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	6.88333333333333	0.371320330548689	1.2
2	6.59166666666667	0.602205542278976	1.6
3	7.525	0.453521574108463	1.4
4	8.15833333333333	0.320392751402892	1
5	8.4	0.700649049745371	2.1
6	8.45833333333333	0.242930342928074	0.8
7	8.25	0.306000594176488	0.799999999999999

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	0.911431729686293
beta	-0.06234033026932
S.D.	0.0945419877511927
T-STAT	-0.659393056483874
p-value	0.538797878164035

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.911431729686293 \tabularnewline
beta & -0.06234033026932 \tabularnewline
S.D. & 0.0945419877511927 \tabularnewline
T-STAT & -0.659393056483874 \tabularnewline
p-value & 0.538797878164035 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=30033&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.911431729686293[/C][/ROW]
[ROW][C]beta[/C][C]-0.06234033026932[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0945419877511927[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.659393056483874[/C][/ROW]
[ROW][C]p-value[/C][C]0.538797878164035[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=30033&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=30033&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	0.911431729686293
beta	-0.06234033026932
S.D.	0.0945419877511927
T-STAT	-0.659393056483874
p-value	0.538797878164035

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	1.98931204248515
beta	-1.41948584431386
S.D.	1.55715287782764
T-STAT	-0.911590547418933
p-value	0.403792859194185
Lambda	2.41948584431386

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 1.98931204248515 \tabularnewline
beta & -1.41948584431386 \tabularnewline
S.D. & 1.55715287782764 \tabularnewline
T-STAT & -0.911590547418933 \tabularnewline
p-value & 0.403792859194185 \tabularnewline
Lambda & 2.41948584431386 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=30033&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]1.98931204248515[/C][/ROW]
[ROW][C]beta[/C][C]-1.41948584431386[/C][/ROW]
[ROW][C]S.D.[/C][C]1.55715287782764[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.911590547418933[/C][/ROW]
[ROW][C]p-value[/C][C]0.403792859194185[/C][/ROW]
[ROW][C]Lambda[/C][C]2.41948584431386[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=30033&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=30033&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	1.98931204248515
beta	-1.41948584431386
S.D.	1.55715287782764
T-STAT	-0.911590547418933
p-value	0.403792859194185
Lambda	2.41948584431386

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