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Author's title

Author

*Unverified author*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Sat, 11 Aug 2012 09:57:33 -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/Aug/11/t134469347986epig4nofhhphu.htm/, Retrieved Mon, 06 May 2024 12:51:45 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=169220, Retrieved Mon, 06 May 2024 12:51:45 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Van Puyenbroeck Willem

Estimated Impact

144

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

-       [Standard Deviation-Mean Plot] [Tijdreeks 1 stap 26] [2012-08-11 13:57:33] [d94b10b2615af2e11b32dea0ad6a3c7b] [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	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=169220&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=169220&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=169220&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	181407.083333333	2851.82399234829	8485
2	179390.333333333	4000.78074956134	12444
3	176986.916666667	4470.7972943279	13391
4	169929.333333333	5713.653700222	16338
5	158890.5	9045.11215569442	25840
6	136404.916666667	10976.2413541773	33373
7	111349.666666667	12568.8485647025	35969
8	83677.3333333333	12712.397766342	35653
9	53624.25	13031.9618639224	40244
10	30616.75	11989.3509197651	33369

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 181407.083333333 & 2851.82399234829 & 8485 \tabularnewline
2 & 179390.333333333 & 4000.78074956134 & 12444 \tabularnewline
3 & 176986.916666667 & 4470.7972943279 & 13391 \tabularnewline
4 & 169929.333333333 & 5713.653700222 & 16338 \tabularnewline
5 & 158890.5 & 9045.11215569442 & 25840 \tabularnewline
6 & 136404.916666667 & 10976.2413541773 & 33373 \tabularnewline
7 & 111349.666666667 & 12568.8485647025 & 35969 \tabularnewline
8 & 83677.3333333333 & 12712.397766342 & 35653 \tabularnewline
9 & 53624.25 & 13031.9618639224 & 40244 \tabularnewline
10 & 30616.75 & 11989.3509197651 & 33369 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=169220&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]181407.083333333[/C][C]2851.82399234829[/C][C]8485[/C][/ROW]
[ROW][C]2[/C][C]179390.333333333[/C][C]4000.78074956134[/C][C]12444[/C][/ROW]
[ROW][C]3[/C][C]176986.916666667[/C][C]4470.7972943279[/C][C]13391[/C][/ROW]
[ROW][C]4[/C][C]169929.333333333[/C][C]5713.653700222[/C][C]16338[/C][/ROW]
[ROW][C]5[/C][C]158890.5[/C][C]9045.11215569442[/C][C]25840[/C][/ROW]
[ROW][C]6[/C][C]136404.916666667[/C][C]10976.2413541773[/C][C]33373[/C][/ROW]
[ROW][C]7[/C][C]111349.666666667[/C][C]12568.8485647025[/C][C]35969[/C][/ROW]
[ROW][C]8[/C][C]83677.3333333333[/C][C]12712.397766342[/C][C]35653[/C][/ROW]
[ROW][C]9[/C][C]53624.25[/C][C]13031.9618639224[/C][C]40244[/C][/ROW]
[ROW][C]10[/C][C]30616.75[/C][C]11989.3509197651[/C][C]33369[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=169220&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=169220&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	181407.083333333	2851.82399234829	8485
2	179390.333333333	4000.78074956134	12444
3	176986.916666667	4470.7972943279	13391
4	169929.333333333	5713.653700222	16338
5	158890.5	9045.11215569442	25840
6	136404.916666667	10976.2413541773	33373
7	111349.666666667	12568.8485647025	35969
8	83677.3333333333	12712.397766342	35653
9	53624.25	13031.9618639224	40244
10	30616.75	11989.3509197651	33369

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	16729.7299912442
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 & 16729.7299912442 \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=169220&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]16729.7299912442[/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=169220&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=169220&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	16729.7299912442
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	16.4893907265743
beta	-0.648445226888153
S.D.	0.240031778968445
T-STAT	-2.70149740036464
p-value	0.0270113309975439
Lambda	1.64844522688815

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 16.4893907265743 \tabularnewline
beta & -0.648445226888153 \tabularnewline
S.D. & 0.240031778968445 \tabularnewline
T-STAT & -2.70149740036464 \tabularnewline
p-value & 0.0270113309975439 \tabularnewline
Lambda & 1.64844522688815 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=169220&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]16.4893907265743[/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]0.0270113309975439[/C][/ROW]
[ROW][C]Lambda[/C][C]1.64844522688815[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=169220&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=169220&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	16.4893907265743
beta	-0.648445226888153
S.D.	0.240031778968445
T-STAT	-2.70149740036464
p-value	0.0270113309975439
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