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

Tue, 31 Jul 2012 12:03:31 -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/2012/Jul/31/t1343750781ugkl3j6824ztv5c.htm/, Retrieved Mon, 29 Apr 2024 14:31:07 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=168956, Retrieved Mon, 29 Apr 2024 14:31:07 +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

yasmien naciri

Estimated Impact

173

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

-       [Standard Deviation-Mean Plot] [] [2012-07-31 16:03:31] [d06e8713ea83045a022ab0926c74dd0b] [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	'Herman Ole Andreas Wold' @ wold.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 & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=168956&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=168956&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=168956&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	'Herman Ole Andreas Wold' @ wold.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	572729.583333333	91553.5622150507	272817
2	400530.5	95521.8544784386	336150
3	376054.666666667	88117.825471801	336149
4	433814	120490.467181584	356852
5	636903.083333333	123031.384979945	409838
6	965100.25	181972.135429938	546758
7	1325707.66666667	188917.196500253	557205
8	1570815.83333333	147550.57566311	462824
9	1804419.25	140262.783335829	483516
10	2066243.08333333	121618.869388578	409828

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 572729.583333333 & 91553.5622150507 & 272817 \tabularnewline
2 & 400530.5 & 95521.8544784386 & 336150 \tabularnewline
3 & 376054.666666667 & 88117.825471801 & 336149 \tabularnewline
4 & 433814 & 120490.467181584 & 356852 \tabularnewline
5 & 636903.083333333 & 123031.384979945 & 409838 \tabularnewline
6 & 965100.25 & 181972.135429938 & 546758 \tabularnewline
7 & 1325707.66666667 & 188917.196500253 & 557205 \tabularnewline
8 & 1570815.83333333 & 147550.57566311 & 462824 \tabularnewline
9 & 1804419.25 & 140262.783335829 & 483516 \tabularnewline
10 & 2066243.08333333 & 121618.869388578 & 409828 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=168956&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]572729.583333333[/C][C]91553.5622150507[/C][C]272817[/C][/ROW]
[ROW][C]2[/C][C]400530.5[/C][C]95521.8544784386[/C][C]336150[/C][/ROW]
[ROW][C]3[/C][C]376054.666666667[/C][C]88117.825471801[/C][C]336149[/C][/ROW]
[ROW][C]4[/C][C]433814[/C][C]120490.467181584[/C][C]356852[/C][/ROW]
[ROW][C]5[/C][C]636903.083333333[/C][C]123031.384979945[/C][C]409838[/C][/ROW]
[ROW][C]6[/C][C]965100.25[/C][C]181972.135429938[/C][C]546758[/C][/ROW]
[ROW][C]7[/C][C]1325707.66666667[/C][C]188917.196500253[/C][C]557205[/C][/ROW]
[ROW][C]8[/C][C]1570815.83333333[/C][C]147550.57566311[/C][C]462824[/C][/ROW]
[ROW][C]9[/C][C]1804419.25[/C][C]140262.783335829[/C][C]483516[/C][/ROW]
[ROW][C]10[/C][C]2066243.08333333[/C][C]121618.869388578[/C][C]409828[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=168956&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=168956&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	572729.583333333	91553.5622150507	272817
2	400530.5	95521.8544784386	336150
3	376054.666666667	88117.825471801	336149
4	433814	120490.467181584	356852
5	636903.083333333	123031.384979945	409838
6	965100.25	181972.135429938	546758
7	1325707.66666667	188917.196500253	557205
8	1570815.83333333	147550.57566311	462824
9	1804419.25	140262.783335829	483516
10	2066243.08333333	121618.869388578	409828

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	102291.227850293
beta	0.0271981608937098
S.D.	0.0172378077251961
T-STAT	1.57782018034433
p-value	0.153258933819275

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 102291.227850293 \tabularnewline
beta & 0.0271981608937098 \tabularnewline
S.D. & 0.0172378077251961 \tabularnewline
T-STAT & 1.57782018034433 \tabularnewline
p-value & 0.153258933819275 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=168956&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]102291.227850293[/C][/ROW]
[ROW][C]beta[/C][C]0.0271981608937098[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0172378077251961[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.57782018034433[/C][/ROW]
[ROW][C]p-value[/C][C]0.153258933819275[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=168956&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=168956&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	102291.227850293
beta	0.0271981608937098
S.D.	0.0172378077251961
T-STAT	1.57782018034433
p-value	0.153258933819275

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	8.08884311229268
beta	0.267764878863797
S.D.	0.109132909529842
T-STAT	2.4535667565115
p-value	0.0397151972375915
Lambda	0.732235121136203

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 8.08884311229268 \tabularnewline
beta & 0.267764878863797 \tabularnewline
S.D. & 0.109132909529842 \tabularnewline
T-STAT & 2.4535667565115 \tabularnewline
p-value & 0.0397151972375915 \tabularnewline
Lambda & 0.732235121136203 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=168956&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]8.08884311229268[/C][/ROW]
[ROW][C]beta[/C][C]0.267764878863797[/C][/ROW]
[ROW][C]S.D.[/C][C]0.109132909529842[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.4535667565115[/C][/ROW]
[ROW][C]p-value[/C][C]0.0397151972375915[/C][/ROW]
[ROW][C]Lambda[/C][C]0.732235121136203[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=168956&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=168956&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	8.08884311229268
beta	0.267764878863797
S.D.	0.109132909529842
T-STAT	2.4535667565115
p-value	0.0397151972375915
Lambda	0.732235121136203

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