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

Thu, 03 Dec 2009 02:52:29 -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/03/t1259834114rvv5660xf57lfk8.htm/, Retrieved Thu, 25 Apr 2024 06:23:50 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=62655, Retrieved Thu, 25 Apr 2024 06:23:50 +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

155

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] [] [2009-11-27 14:40:44] [b98453cac15ba1066b407e146608df68]
-    D      [Standard Deviation-Mean Plot] [] [2009-12-03 09:52:29] [5858ea01c9bd81debbf921a11363ad90] [Current]

Feedback Forum

Post a new message

Dataseries X:

Download CSV

Histogram

Boxplots

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	'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 & 0 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62655&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62655&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62655&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	'Gwilym Jenkins' @ 72.249.127.135

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	26815.5833333333	6479.57569399744	24449
2	26259.3333333333	7596.89037260203	22874
3	22932.4166666667	5566.33655367584	20000
4	23735.25	6529.31853780943	20890
5	22458.8333333333	5033.65207800701	15936
6	23118.5	7012.69518282898	23808
7	23009.8333333333	6104.52451924477	21757
8	24156.25	6153.22854095902	19196
9	21032.8333333333	4752.75558029872	16277

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 26815.5833333333 & 6479.57569399744 & 24449 \tabularnewline
2 & 26259.3333333333 & 7596.89037260203 & 22874 \tabularnewline
3 & 22932.4166666667 & 5566.33655367584 & 20000 \tabularnewline
4 & 23735.25 & 6529.31853780943 & 20890 \tabularnewline
5 & 22458.8333333333 & 5033.65207800701 & 15936 \tabularnewline
6 & 23118.5 & 7012.69518282898 & 23808 \tabularnewline
7 & 23009.8333333333 & 6104.52451924477 & 21757 \tabularnewline
8 & 24156.25 & 6153.22854095902 & 19196 \tabularnewline
9 & 21032.8333333333 & 4752.75558029872 & 16277 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62655&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]26815.5833333333[/C][C]6479.57569399744[/C][C]24449[/C][/ROW]
[ROW][C]2[/C][C]26259.3333333333[/C][C]7596.89037260203[/C][C]22874[/C][/ROW]
[ROW][C]3[/C][C]22932.4166666667[/C][C]5566.33655367584[/C][C]20000[/C][/ROW]
[ROW][C]4[/C][C]23735.25[/C][C]6529.31853780943[/C][C]20890[/C][/ROW]
[ROW][C]5[/C][C]22458.8333333333[/C][C]5033.65207800701[/C][C]15936[/C][/ROW]
[ROW][C]6[/C][C]23118.5[/C][C]7012.69518282898[/C][C]23808[/C][/ROW]
[ROW][C]7[/C][C]23009.8333333333[/C][C]6104.52451924477[/C][C]21757[/C][/ROW]
[ROW][C]8[/C][C]24156.25[/C][C]6153.22854095902[/C][C]19196[/C][/ROW]
[ROW][C]9[/C][C]21032.8333333333[/C][C]4752.75558029872[/C][C]16277[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62655&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62655&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	26815.5833333333	6479.57569399744	24449
2	26259.3333333333	7596.89037260203	22874
3	22932.4166666667	5566.33655367584	20000
4	23735.25	6529.31853780943	20890
5	22458.8333333333	5033.65207800701	15936
6	23118.5	7012.69518282898	23808
7	23009.8333333333	6104.52451924477	21757
8	24156.25	6153.22854095902	19196
9	21032.8333333333	4752.75558029872	16277

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-2664.368399592
beta	0.370966305028914
S.D.	0.126710117441200
T-STAT	2.92767706731123
p-value	0.0220972025024977

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -2664.368399592 \tabularnewline
beta & 0.370966305028914 \tabularnewline
S.D. & 0.126710117441200 \tabularnewline
T-STAT & 2.92767706731123 \tabularnewline
p-value & 0.0220972025024977 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62655&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-2664.368399592[/C][/ROW]
[ROW][C]beta[/C][C]0.370966305028914[/C][/ROW]
[ROW][C]S.D.[/C][C]0.126710117441200[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.92767706731123[/C][/ROW]
[ROW][C]p-value[/C][C]0.0220972025024977[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62655&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62655&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	-2664.368399592
beta	0.370966305028914
S.D.	0.126710117441200
T-STAT	2.92767706731123
p-value	0.0220972025024977

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-6.63173874308666
beta	1.5234508557403
S.D.	0.489877057366526
T-STAT	3.10986365421978
p-value	0.0170844745371807
Lambda	-0.523450855740299

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -6.63173874308666 \tabularnewline
beta & 1.5234508557403 \tabularnewline
S.D. & 0.489877057366526 \tabularnewline
T-STAT & 3.10986365421978 \tabularnewline
p-value & 0.0170844745371807 \tabularnewline
Lambda & -0.523450855740299 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62655&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-6.63173874308666[/C][/ROW]
[ROW][C]beta[/C][C]1.5234508557403[/C][/ROW]
[ROW][C]S.D.[/C][C]0.489877057366526[/C][/ROW]
[ROW][C]T-STAT[/C][C]3.10986365421978[/C][/ROW]
[ROW][C]p-value[/C][C]0.0170844745371807[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.523450855740299[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62655&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62655&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	-6.63173874308666
beta	1.5234508557403
S.D.	0.489877057366526
T-STAT	3.10986365421978
p-value	0.0170844745371807
Lambda	-0.523450855740299

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