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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

Mon, 05 Dec 2011 13:23:16 -0500

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/2011/Dec/05/t13231094102l0jlcgh68oy9bz.htm/, Retrieved Fri, 03 May 2024 10:10:54 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=151146, Retrieved Fri, 03 May 2024 10:10:54 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

107

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

-       [Standard Deviation-Mean Plot] [Aantal niet-werke...] [2011-12-05 18:23:16] [4352eab26b4a512b718de67a19830b91] [Current]

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Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	0 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 & 0 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=151146&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]0 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=151146&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=151146&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	0 seconds
R Server	'Gwilym Jenkins' @ jenkins.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	548166.916666667	19012.1992246047	62648
2	569931.25	21023.2012921006	67344
3	544975	29910.8136845644	94728
4	505373.083333333	19499.1785722482	64233
5	540701.5	21914.6724551881	67080
6	594055.25	18811.9743786432	53034
7	596153.75	21879.8107442579	61428
8	569321.333333333	29214.2952658247	75951
9	531419.25	31341.5856306108	78857
10	484862	27524.7187088261	70468
11	468265.75	28218.1761833333	81599

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 548166.916666667 & 19012.1992246047 & 62648 \tabularnewline
2 & 569931.25 & 21023.2012921006 & 67344 \tabularnewline
3 & 544975 & 29910.8136845644 & 94728 \tabularnewline
4 & 505373.083333333 & 19499.1785722482 & 64233 \tabularnewline
5 & 540701.5 & 21914.6724551881 & 67080 \tabularnewline
6 & 594055.25 & 18811.9743786432 & 53034 \tabularnewline
7 & 596153.75 & 21879.8107442579 & 61428 \tabularnewline
8 & 569321.333333333 & 29214.2952658247 & 75951 \tabularnewline
9 & 531419.25 & 31341.5856306108 & 78857 \tabularnewline
10 & 484862 & 27524.7187088261 & 70468 \tabularnewline
11 & 468265.75 & 28218.1761833333 & 81599 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=151146&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]548166.916666667[/C][C]19012.1992246047[/C][C]62648[/C][/ROW]
[ROW][C]2[/C][C]569931.25[/C][C]21023.2012921006[/C][C]67344[/C][/ROW]
[ROW][C]3[/C][C]544975[/C][C]29910.8136845644[/C][C]94728[/C][/ROW]
[ROW][C]4[/C][C]505373.083333333[/C][C]19499.1785722482[/C][C]64233[/C][/ROW]
[ROW][C]5[/C][C]540701.5[/C][C]21914.6724551881[/C][C]67080[/C][/ROW]
[ROW][C]6[/C][C]594055.25[/C][C]18811.9743786432[/C][C]53034[/C][/ROW]
[ROW][C]7[/C][C]596153.75[/C][C]21879.8107442579[/C][C]61428[/C][/ROW]
[ROW][C]8[/C][C]569321.333333333[/C][C]29214.2952658247[/C][C]75951[/C][/ROW]
[ROW][C]9[/C][C]531419.25[/C][C]31341.5856306108[/C][C]78857[/C][/ROW]
[ROW][C]10[/C][C]484862[/C][C]27524.7187088261[/C][C]70468[/C][/ROW]
[ROW][C]11[/C][C]468265.75[/C][C]28218.1761833333[/C][C]81599[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=151146&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=151146&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	548166.916666667	19012.1992246047	62648
2	569931.25	21023.2012921006	67344
3	544975	29910.8136845644	94728
4	505373.083333333	19499.1785722482	64233
5	540701.5	21914.6724551881	67080
6	594055.25	18811.9743786432	53034
7	596153.75	21879.8107442579	61428
8	569321.333333333	29214.2952658247	75951
9	531419.25	31341.5856306108	78857
10	484862	27524.7187088261	70468
11	468265.75	28218.1761833333	81599

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	48012.8525005174
beta	-0.0436386576568052
S.D.	0.0358804016989413
T-STAT	-1.21622544872715
p-value	0.254833682707193

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 48012.8525005174 \tabularnewline
beta & -0.0436386576568052 \tabularnewline
S.D. & 0.0358804016989413 \tabularnewline
T-STAT & -1.21622544872715 \tabularnewline
p-value & 0.254833682707193 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=151146&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]48012.8525005174[/C][/ROW]
[ROW][C]beta[/C][C]-0.0436386576568052[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0358804016989413[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.21622544872715[/C][/ROW]
[ROW][C]p-value[/C][C]0.254833682707193[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=151146&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=151146&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	48012.8525005174
beta	-0.0436386576568052
S.D.	0.0358804016989413
T-STAT	-1.21622544872715
p-value	0.254833682707193

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	22.7721526291215
beta	-0.961294840048899
S.D.	0.781197074824264
T-STAT	-1.23054075729245
p-value	0.249685432688569
Lambda	1.9612948400489

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 22.7721526291215 \tabularnewline
beta & -0.961294840048899 \tabularnewline
S.D. & 0.781197074824264 \tabularnewline
T-STAT & -1.23054075729245 \tabularnewline
p-value & 0.249685432688569 \tabularnewline
Lambda & 1.9612948400489 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=151146&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]22.7721526291215[/C][/ROW]
[ROW][C]beta[/C][C]-0.961294840048899[/C][/ROW]
[ROW][C]S.D.[/C][C]0.781197074824264[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.23054075729245[/C][/ROW]
[ROW][C]p-value[/C][C]0.249685432688569[/C][/ROW]
[ROW][C]Lambda[/C][C]1.9612948400489[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=151146&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=151146&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	22.7721526291215
beta	-0.961294840048899
S.D.	0.781197074824264
T-STAT	-1.23054075729245
p-value	0.249685432688569
Lambda	1.9612948400489

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