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, 04 Aug 2013 09:28:14 -0400

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/2013/Aug/04/t137562295163n3e14ysxbww22.htm/, Retrieved Sat, 04 May 2024 11:27:50 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=210921, Retrieved Sat, 04 May 2024 11:27:50 +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

Ongenae Olivier

Estimated Impact

163

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

-       [Standard Deviation-Mean Plot] [TIJDREEKS A - STA...] [2013-08-04 13:28:14] [084e0343a0486ff05530df6c705c8bb4] [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' @ jenkins.wessa.net

\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' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=210921&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' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=210921&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=210921&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' @ jenkins.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	544221.25	8555.47197704487	25455
2	538171	12002.342248684	37332
3	530960.75	13412.3918829837	40173
4	509788	17140.961100666	49014
5	476671.5	27135.3364670833	77520
6	409214.75	32928.7240625318	100119
7	334049	37706.5456941075	107907
8	251032	38137.193299026	106959
9	160872.75	39095.8855917671	120732
10	91850.25	35968.0527592954	100107

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 544221.25 & 8555.47197704487 & 25455 \tabularnewline
2 & 538171 & 12002.342248684 & 37332 \tabularnewline
3 & 530960.75 & 13412.3918829837 & 40173 \tabularnewline
4 & 509788 & 17140.961100666 & 49014 \tabularnewline
5 & 476671.5 & 27135.3364670833 & 77520 \tabularnewline
6 & 409214.75 & 32928.7240625318 & 100119 \tabularnewline
7 & 334049 & 37706.5456941075 & 107907 \tabularnewline
8 & 251032 & 38137.193299026 & 106959 \tabularnewline
9 & 160872.75 & 39095.8855917671 & 120732 \tabularnewline
10 & 91850.25 & 35968.0527592954 & 100107 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=210921&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]544221.25[/C][C]8555.47197704487[/C][C]25455[/C][/ROW]
[ROW][C]2[/C][C]538171[/C][C]12002.342248684[/C][C]37332[/C][/ROW]
[ROW][C]3[/C][C]530960.75[/C][C]13412.3918829837[/C][C]40173[/C][/ROW]
[ROW][C]4[/C][C]509788[/C][C]17140.961100666[/C][C]49014[/C][/ROW]
[ROW][C]5[/C][C]476671.5[/C][C]27135.3364670833[/C][C]77520[/C][/ROW]
[ROW][C]6[/C][C]409214.75[/C][C]32928.7240625318[/C][C]100119[/C][/ROW]
[ROW][C]7[/C][C]334049[/C][C]37706.5456941075[/C][C]107907[/C][/ROW]
[ROW][C]8[/C][C]251032[/C][C]38137.193299026[/C][C]106959[/C][/ROW]
[ROW][C]9[/C][C]160872.75[/C][C]39095.8855917671[/C][C]120732[/C][/ROW]
[ROW][C]10[/C][C]91850.25[/C][C]35968.0527592954[/C][C]100107[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=210921&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=210921&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	544221.25	8555.47197704487	25455
2	538171	12002.342248684	37332
3	530960.75	13412.3918829837	40173
4	509788	17140.961100666	49014
5	476671.5	27135.3364670833	77520
6	409214.75	32928.7240625318	100119
7	334049	37706.5456941075	107907
8	251032	38137.193299026	106959
9	160872.75	39095.8855917671	120732
10	91850.25	35968.0527592954	100107

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	50189.1899737326
beta	-0.0623393590904556
S.D.	0.0134589047107074
T-STAT	-4.63183003598061
p-value	0.00168403022727226

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 50189.1899737326 \tabularnewline
beta & -0.0623393590904556 \tabularnewline
S.D. & 0.0134589047107074 \tabularnewline
T-STAT & -4.63183003598061 \tabularnewline
p-value & 0.00168403022727226 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=210921&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]50189.1899737326[/C][/ROW]
[ROW][C]beta[/C][C]-0.0623393590904556[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0134589047107074[/C][/ROW]
[ROW][C]T-STAT[/C][C]-4.63183003598061[/C][/ROW]
[ROW][C]p-value[/C][C]0.00168403022727226[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=210921&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=210921&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	50189.1899737326
beta	-0.0623393590904556
S.D.	0.0134589047107074
T-STAT	-4.63183003598061
p-value	0.00168403022727226

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	18.3003929100299
beta	-0.648445226888153
S.D.	0.240031778968445
T-STAT	-2.70149740036464
p-value	0.027011330997544
Lambda	1.64844522688815

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 18.3003929100299 \tabularnewline
beta & -0.648445226888153 \tabularnewline
S.D. & 0.240031778968445 \tabularnewline
T-STAT & -2.70149740036464 \tabularnewline
p-value & 0.027011330997544 \tabularnewline
Lambda & 1.64844522688815 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=210921&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]18.3003929100299[/C][/ROW]
[ROW][C]beta[/C][C]-0.648445226888153[/C][/ROW]
[ROW][C]S.D.[/C][C]0.240031778968445[/C][/ROW]
[ROW][C]T-STAT[/C][C]-2.70149740036464[/C][/ROW]
[ROW][C]p-value[/C][C]0.027011330997544[/C][/ROW]
[ROW][C]Lambda[/C][C]1.64844522688815[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=210921&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=210921&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	18.3003929100299
beta	-0.648445226888153
S.D.	0.240031778968445
T-STAT	-2.70149740036464
p-value	0.027011330997544
Lambda	1.64844522688815

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