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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

Sun, 21 Dec 2008 14:56:51 -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/2008/Dec/21/t1229896655va1fvvqhr80qfrp.htm/, Retrieved Sun, 26 May 2024 04:21:59 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=35859, Retrieved Sun, 26 May 2024 04:21:59 +0000

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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)

-     [Box-Cox Linearity Plot] [Box cox linearity...] [2008-12-21 21:47:51] [c5e27150943bc3d623392efb0d98f8d3]
-    D  [Box-Cox Linearity Plot] [Box cox linearity...] [2008-12-21 21:49:45] [c5e27150943bc3d623392efb0d98f8d3]
- RMPD      [Standard Deviation-Mean Plot] [standard deviatio...] [2008-12-21 21:56:51] [25d75405d700c34901b109463a9659f5] [Current]
-    D        [Standard Deviation-Mean Plot] [standard deviatio...] [2008-12-21 21:58:39] [c5e27150943bc3d623392efb0d98f8d3] 
-    D          [Standard Deviation-Mean Plot] [standard deviatio...] [2008-12-21 22:00:36] [c5e27150943bc3d623392efb0d98f8d3] 
- RMPD          [Box-Cox Normality Plot] [box cox normality...] [2008-12-21 22:02:22] [c5e27150943bc3d623392efb0d98f8d3] 
-    D            [Box-Cox Normality Plot] [box cox normality...] [2008-12-21 22:04:17] [c5e27150943bc3d623392efb0d98f8d3] 
-    D              [Box-Cox Normality Plot] [box cox normality...] [2008-12-21 22:05:43] [c5e27150943bc3d623392efb0d98f8d3] 
- RM D              [Variance Reduction Matrix] [variance reductio...] [2008-12-21 22:07:14] [c5e27150943bc3d623392efb0d98f8d3] 
-    D                [Variance Reduction Matrix] [variance reductio...] [2008-12-21 22:08:53] [4ddbf81f78ea7c738951638c7e93f6ee] 
-    D                  [Variance Reduction Matrix] [variance reductio...] [2008-12-21 22:10:18] [4ddbf81f78ea7c738951638c7e93f6ee] 

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Dataseries X:

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Histogram

Boxplots

7,5
7,6
7,9
7,9
8,1
8,2
8
7,5
6,8
6,5
6,6
7,6
8
8
7,7
7,5
7,6
7,7
7,9
7,8
7,5
7,5
7,1
7,5
7,5
7,6
7,7
7,7
7,9
8,1
8,2
8,2
8,1
7,9
7,3
6,9
6,6
6,7
6,9
7
7,1
7,2
7,1
6,9
7
6,8
6,4
6,7
6,7
6,4
6,3
6,2
6,5
6,8
6,8
6,5
6,3
5,9
5,9
6,4

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	3 seconds
R Server	'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 3 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35859&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35859&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35859&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	3 seconds
R Server	'Herman Ole Andreas Wold' @ 193.190.124.10:1001

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	7.725	0.206155281280883	0.4
2	7.95	0.31091263510296	0.699999999999999
3	6.875	0.499165971062398	1.1
4	7.8	0.244948974278318	0.5
5	7.75	0.129099444873581	0.300000000000001
6	7.4	0.2	0.4
7	7.625	0.095742710775634	0.2
8	8.1	0.141421356237309	0.299999999999999
9	7.55	0.55075705472861	1.2
10	6.8	0.182574185835056	0.4
11	7.075	0.125830573921179	0.3
12	6.725	0.25	0.6
13	6.4	0.216024689946929	0.5
14	6.65	0.173205080756888	0.3
15	6.125	0.262995563967658	0.5

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 7.725 & 0.206155281280883 & 0.4 \tabularnewline
2 & 7.95 & 0.31091263510296 & 0.699999999999999 \tabularnewline
3 & 6.875 & 0.499165971062398 & 1.1 \tabularnewline
4 & 7.8 & 0.244948974278318 & 0.5 \tabularnewline
5 & 7.75 & 0.129099444873581 & 0.300000000000001 \tabularnewline
6 & 7.4 & 0.2 & 0.4 \tabularnewline
7 & 7.625 & 0.095742710775634 & 0.2 \tabularnewline
8 & 8.1 & 0.141421356237309 & 0.299999999999999 \tabularnewline
9 & 7.55 & 0.55075705472861 & 1.2 \tabularnewline
10 & 6.8 & 0.182574185835056 & 0.4 \tabularnewline
11 & 7.075 & 0.125830573921179 & 0.3 \tabularnewline
12 & 6.725 & 0.25 & 0.6 \tabularnewline
13 & 6.4 & 0.216024689946929 & 0.5 \tabularnewline
14 & 6.65 & 0.173205080756888 & 0.3 \tabularnewline
15 & 6.125 & 0.262995563967658 & 0.5 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35859&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]7.725[/C][C]0.206155281280883[/C][C]0.4[/C][/ROW]
[ROW][C]2[/C][C]7.95[/C][C]0.31091263510296[/C][C]0.699999999999999[/C][/ROW]
[ROW][C]3[/C][C]6.875[/C][C]0.499165971062398[/C][C]1.1[/C][/ROW]
[ROW][C]4[/C][C]7.8[/C][C]0.244948974278318[/C][C]0.5[/C][/ROW]
[ROW][C]5[/C][C]7.75[/C][C]0.129099444873581[/C][C]0.300000000000001[/C][/ROW]
[ROW][C]6[/C][C]7.4[/C][C]0.2[/C][C]0.4[/C][/ROW]
[ROW][C]7[/C][C]7.625[/C][C]0.095742710775634[/C][C]0.2[/C][/ROW]
[ROW][C]8[/C][C]8.1[/C][C]0.141421356237309[/C][C]0.299999999999999[/C][/ROW]
[ROW][C]9[/C][C]7.55[/C][C]0.55075705472861[/C][C]1.2[/C][/ROW]
[ROW][C]10[/C][C]6.8[/C][C]0.182574185835056[/C][C]0.4[/C][/ROW]
[ROW][C]11[/C][C]7.075[/C][C]0.125830573921179[/C][C]0.3[/C][/ROW]
[ROW][C]12[/C][C]6.725[/C][C]0.25[/C][C]0.6[/C][/ROW]
[ROW][C]13[/C][C]6.4[/C][C]0.216024689946929[/C][C]0.5[/C][/ROW]
[ROW][C]14[/C][C]6.65[/C][C]0.173205080756888[/C][C]0.3[/C][/ROW]
[ROW][C]15[/C][C]6.125[/C][C]0.262995563967658[/C][C]0.5[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35859&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35859&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	7.725	0.206155281280883	0.4
2	7.95	0.31091263510296	0.699999999999999
3	6.875	0.499165971062398	1.1
4	7.8	0.244948974278318	0.5
5	7.75	0.129099444873581	0.300000000000001
6	7.4	0.2	0.4
7	7.625	0.095742710775634	0.2
8	8.1	0.141421356237309	0.299999999999999
9	7.55	0.55075705472861	1.2
10	6.8	0.182574185835056	0.4
11	7.075	0.125830573921179	0.3
12	6.725	0.25	0.6
13	6.4	0.216024689946929	0.5
14	6.65	0.173205080756888	0.3
15	6.125	0.262995563967658	0.5

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	0.366353998057331
beta	-0.0175631179004382
S.D.	0.0587098479251523
T-STAT	-0.299151139393667
p-value	0.769553570117735

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.366353998057331 \tabularnewline
beta & -0.0175631179004382 \tabularnewline
S.D. & 0.0587098479251523 \tabularnewline
T-STAT & -0.299151139393667 \tabularnewline
p-value & 0.769553570117735 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35859&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.366353998057331[/C][/ROW]
[ROW][C]beta[/C][C]-0.0175631179004382[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0587098479251523[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.299151139393667[/C][/ROW]
[ROW][C]p-value[/C][C]0.769553570117735[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35859&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35859&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	0.366353998057331
beta	-0.0175631179004382
S.D.	0.0587098479251523
T-STAT	-0.299151139393667
p-value	0.769553570117735

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	0.227201126087793
beta	-0.897314103993364
S.D.	1.53886077110219
T-STAT	-0.583102851696373
p-value	0.569801724540714
Lambda	1.89731410399336

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 0.227201126087793 \tabularnewline
beta & -0.897314103993364 \tabularnewline
S.D. & 1.53886077110219 \tabularnewline
T-STAT & -0.583102851696373 \tabularnewline
p-value & 0.569801724540714 \tabularnewline
Lambda & 1.89731410399336 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35859&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.227201126087793[/C][/ROW]
[ROW][C]beta[/C][C]-0.897314103993364[/C][/ROW]
[ROW][C]S.D.[/C][C]1.53886077110219[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.583102851696373[/C][/ROW]
[ROW][C]p-value[/C][C]0.569801724540714[/C][/ROW]
[ROW][C]Lambda[/C][C]1.89731410399336[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35859&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35859&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	0.227201126087793
beta	-0.897314103993364
S.D.	1.53886077110219
T-STAT	-0.583102851696373
p-value	0.569801724540714
Lambda	1.89731410399336

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 4 ;

Parameters (R input):

par1 = 4 ;

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