Repository of Reproducible Computations

Free Statistics

of Irreproducible Research!

Author's title

Author

*Unverified author*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Sun, 05 Dec 2010 13:49:58 +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/05/t12915569401dzotigh2pn3hp6.htm/, Retrieved Wed, 01 May 2024 21:03:42 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=105397, Retrieved Wed, 01 May 2024 21:03:42 +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

KDGP2W83

Estimated Impact

154

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

-       [Standard Deviation-Mean Plot] [Opgave 8 oef 3] [2010-12-05 13:49:58] [9a37dffdb284317d3f5f461f9b8f0111] [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	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=105397&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=105397&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=105397&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	9273	1599.14937615994	4967
2	9256.25	1648.57487353058	5377
3	9578.91666666667	1970.32855858810	6363
4	9364.33333333333	2239.12066073567	6571
5	8836.08333333333	1826.87763725849	5992
6	9001.91666666667	2300.88308969062	7902

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 9273 & 1599.14937615994 & 4967 \tabularnewline
2 & 9256.25 & 1648.57487353058 & 5377 \tabularnewline
3 & 9578.91666666667 & 1970.32855858810 & 6363 \tabularnewline
4 & 9364.33333333333 & 2239.12066073567 & 6571 \tabularnewline
5 & 8836.08333333333 & 1826.87763725849 & 5992 \tabularnewline
6 & 9001.91666666667 & 2300.88308969062 & 7902 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=105397&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]9273[/C][C]1599.14937615994[/C][C]4967[/C][/ROW]
[ROW][C]2[/C][C]9256.25[/C][C]1648.57487353058[/C][C]5377[/C][/ROW]
[ROW][C]3[/C][C]9578.91666666667[/C][C]1970.32855858810[/C][C]6363[/C][/ROW]
[ROW][C]4[/C][C]9364.33333333333[/C][C]2239.12066073567[/C][C]6571[/C][/ROW]
[ROW][C]5[/C][C]8836.08333333333[/C][C]1826.87763725849[/C][C]5992[/C][/ROW]
[ROW][C]6[/C][C]9001.91666666667[/C][C]2300.88308969062[/C][C]7902[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=105397&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=105397&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	9273	1599.14937615994	4967
2	9256.25	1648.57487353058	5377
3	9578.91666666667	1970.32855858810	6363
4	9364.33333333333	2239.12066073567	6571
5	8836.08333333333	1826.87763725849	5992
6	9001.91666666667	2300.88308969062	7902

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	2193.35193148865
beta	-0.0284788131180969
S.D.	0.557639052501058
T-STAT	-0.0510703348167009
p-value	0.96171804723874

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 2193.35193148865 \tabularnewline
beta & -0.0284788131180969 \tabularnewline
S.D. & 0.557639052501058 \tabularnewline
T-STAT & -0.0510703348167009 \tabularnewline
p-value & 0.96171804723874 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=105397&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]2193.35193148865[/C][/ROW]
[ROW][C]beta[/C][C]-0.0284788131180969[/C][/ROW]
[ROW][C]S.D.[/C][C]0.557639052501058[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.0510703348167009[/C][/ROW]
[ROW][C]p-value[/C][C]0.96171804723874[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=105397&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=105397&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	2193.35193148865
beta	-0.0284788131180969
S.D.	0.557639052501058
T-STAT	-0.0510703348167009
p-value	0.96171804723874

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	8.66080085240856
beta	-0.121024298686971
S.D.	2.65084857948783
T-STAT	-0.0456549271140768
p-value	0.965773665575391
Lambda	1.12102429868697

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 8.66080085240856 \tabularnewline
beta & -0.121024298686971 \tabularnewline
S.D. & 2.65084857948783 \tabularnewline
T-STAT & -0.0456549271140768 \tabularnewline
p-value & 0.965773665575391 \tabularnewline
Lambda & 1.12102429868697 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=105397&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]8.66080085240856[/C][/ROW]
[ROW][C]beta[/C][C]-0.121024298686971[/C][/ROW]
[ROW][C]S.D.[/C][C]2.65084857948783[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.0456549271140768[/C][/ROW]
[ROW][C]p-value[/C][C]0.965773665575391[/C][/ROW]
[ROW][C]Lambda[/C][C]1.12102429868697[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=105397&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=105397&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	8.66080085240856
beta	-0.121024298686971
S.D.	2.65084857948783
T-STAT	-0.0456549271140768
p-value	0.965773665575391
Lambda	1.12102429868697

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