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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 12:32:48 -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/t1259868820tvo7qm2ubove4su.htm/, Retrieved Thu, 18 Apr 2024 14:48:38 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=63089, Retrieved Thu, 18 Apr 2024 14:48:38 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

148

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

-     [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-12 13:32:37] [76963dc1903f0f612b6153510a3818cf]
- R  D  [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-17 12:14:40] [76963dc1903f0f612b6153510a3818cf]
-         [Univariate Explorative Data Analysis] [Run Sequence Plot...] [2008-12-22 18:19:51] [1ce0d16c8f4225c977b42c8fa93bc163]
- RMP       [Standard Deviation-Mean Plot] [Identifying Integ...] [2009-11-22 12:50:05] [b98453cac15ba1066b407e146608df68]
F    D        [Standard Deviation-Mean Plot] [SHW WS8] [2009-11-24 12:14:58] [253127ae8da904b75450fbd69fe4eb21]
-   PD          [Standard Deviation-Mean Plot] [ws8 deel 4] [2009-11-27 17:50:36] [95cead3ebb75668735f848316249436a]
-   PD              [Standard Deviation-Mean Plot] [verb ws8] [2009-12-03 19:32:48] [95523ebdb89b97dbf680ec91e0b4bca2] [Current]

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Dataseries X:

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Histogram

Boxplots

8.6
8.5
8.3
7.8
7.8
8
8.6
8.9
8.9
8.6
8.3
8.3
8.3
8.4
8.5
8.4
8.6
8.5
8.5
8.5
8.5
8.5
8.5
8.5
8.5
8.5
8.5
8.5
8.6
8.4
8.1
8
8
8
8
7.9
7.8
7.8
7.9
8.1
8
7.6
7.3
7
6.8
7
7.1
7.2
7.1
6.9
6.7
6.7
6.6
6.9
7.3
7.5
7.3
7.1
6.9
7.1

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=63089&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=63089&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63089&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	8.38333333333333	0.373760578040234	1.1
2	8.475	0.0753778361444406	0.299999999999999
3	8.25	0.267989144963339	0.700
4	7.46666666666667	0.449915817041635	1.3
5	7.00833333333333	0.274551976643381	0.9

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 8.38333333333333 & 0.373760578040234 & 1.1 \tabularnewline
2 & 8.475 & 0.0753778361444406 & 0.299999999999999 \tabularnewline
3 & 8.25 & 0.267989144963339 & 0.700 \tabularnewline
4 & 7.46666666666667 & 0.449915817041635 & 1.3 \tabularnewline
5 & 7.00833333333333 & 0.274551976643381 & 0.9 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63089&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]8.38333333333333[/C][C]0.373760578040234[/C][C]1.1[/C][/ROW]
[ROW][C]2[/C][C]8.475[/C][C]0.0753778361444406[/C][C]0.299999999999999[/C][/ROW]
[ROW][C]3[/C][C]8.25[/C][C]0.267989144963339[/C][C]0.700[/C][/ROW]
[ROW][C]4[/C][C]7.46666666666667[/C][C]0.449915817041635[/C][C]1.3[/C][/ROW]
[ROW][C]5[/C][C]7.00833333333333[/C][C]0.274551976643381[/C][C]0.9[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63089&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63089&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	8.38333333333333	0.373760578040234	1.1
2	8.475	0.0753778361444406	0.299999999999999
3	8.25	0.267989144963339	0.700
4	7.46666666666667	0.449915817041635	1.3
5	7.00833333333333	0.274551976643381	0.9

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	0.981229280570645
beta	-0.0875255002110365
S.D.	0.115342994466774
T-STAT	-0.758828055536995
p-value	0.503129681258511

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.981229280570645 \tabularnewline
beta & -0.0875255002110365 \tabularnewline
S.D. & 0.115342994466774 \tabularnewline
T-STAT & -0.758828055536995 \tabularnewline
p-value & 0.503129681258511 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63089&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.981229280570645[/C][/ROW]
[ROW][C]beta[/C][C]-0.0875255002110365[/C][/ROW]
[ROW][C]S.D.[/C][C]0.115342994466774[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.758828055536995[/C][/ROW]
[ROW][C]p-value[/C][C]0.503129681258511[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63089&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63089&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	0.981229280570645
beta	-0.0875255002110365
S.D.	0.115342994466774
T-STAT	-0.758828055536995
p-value	0.503129681258511

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	6.14852462731016
beta	-3.65111371030143
S.D.	4.35596872891907
T-STAT	-0.838186391482074
p-value	0.463450946996001
Lambda	4.65111371030143

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 6.14852462731016 \tabularnewline
beta & -3.65111371030143 \tabularnewline
S.D. & 4.35596872891907 \tabularnewline
T-STAT & -0.838186391482074 \tabularnewline
p-value & 0.463450946996001 \tabularnewline
Lambda & 4.65111371030143 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63089&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]6.14852462731016[/C][/ROW]
[ROW][C]beta[/C][C]-3.65111371030143[/C][/ROW]
[ROW][C]S.D.[/C][C]4.35596872891907[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.838186391482074[/C][/ROW]
[ROW][C]p-value[/C][C]0.463450946996001[/C][/ROW]
[ROW][C]Lambda[/C][C]4.65111371030143[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63089&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63089&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	6.14852462731016
beta	-3.65111371030143
S.D.	4.35596872891907
T-STAT	-0.838186391482074
p-value	0.463450946996001
Lambda	4.65111371030143

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