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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

Thu, 14 Apr 2011 14:21:19 +0000

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/Apr/14/t1302790653pt4yp57x1etjdqr.htm/, Retrieved Wed, 08 May 2024 19:31:41 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=120596, Retrieved Wed, 08 May 2024 19:31:41 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

KDGP2W83

Estimated Impact

202

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

-       [Standard Deviation-Mean Plot] [] [2011-04-14 14:21:19] [f0cd0ad4d4cb2a25864ed1f6cd7bfd87] [Current]

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Boxplots

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Gwilym Jenkins' @ www.wessa.org

\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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ www.wessa.org \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=120596&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ www.wessa.org[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=120596&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=120596&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	2 seconds
R Server	'Gwilym Jenkins' @ www.wessa.org

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	22375.25	24085.6517760527	78605
2	35748.5833333333	29094.2787423555	76819
3	22996	33407.4389320702	92504
4	5489.66666666667	2526.93131659487	8285
5	5848.75	2770.76451953739	8401
6	4556.16666666667	3772.75221057841	9712

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 22375.25 & 24085.6517760527 & 78605 \tabularnewline
2 & 35748.5833333333 & 29094.2787423555 & 76819 \tabularnewline
3 & 22996 & 33407.4389320702 & 92504 \tabularnewline
4 & 5489.66666666667 & 2526.93131659487 & 8285 \tabularnewline
5 & 5848.75 & 2770.76451953739 & 8401 \tabularnewline
6 & 4556.16666666667 & 3772.75221057841 & 9712 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=120596&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]22375.25[/C][C]24085.6517760527[/C][C]78605[/C][/ROW]
[ROW][C]2[/C][C]35748.5833333333[/C][C]29094.2787423555[/C][C]76819[/C][/ROW]
[ROW][C]3[/C][C]22996[/C][C]33407.4389320702[/C][C]92504[/C][/ROW]
[ROW][C]4[/C][C]5489.66666666667[/C][C]2526.93131659487[/C][C]8285[/C][/ROW]
[ROW][C]5[/C][C]5848.75[/C][C]2770.76451953739[/C][C]8401[/C][/ROW]
[ROW][C]6[/C][C]4556.16666666667[/C][C]3772.75221057841[/C][C]9712[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=120596&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=120596&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	22375.25	24085.6517760527	78605
2	35748.5833333333	29094.2787423555	76819
3	22996	33407.4389320702	92504
4	5489.66666666667	2526.93131659487	8285
5	5848.75	2770.76451953739	8401
6	4556.16666666667	3772.75221057841	9712

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-695.314151850786
beta	1.02901925134798
S.D.	0.229426205558348
T-STAT	4.48518620113024
p-value	0.0109461704194534

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -695.314151850786 \tabularnewline
beta & 1.02901925134798 \tabularnewline
S.D. & 0.229426205558348 \tabularnewline
T-STAT & 4.48518620113024 \tabularnewline
p-value & 0.0109461704194534 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=120596&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-695.314151850786[/C][/ROW]
[ROW][C]beta[/C][C]1.02901925134798[/C][/ROW]
[ROW][C]S.D.[/C][C]0.229426205558348[/C][/ROW]
[ROW][C]T-STAT[/C][C]4.48518620113024[/C][/ROW]
[ROW][C]p-value[/C][C]0.0109461704194534[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=120596&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=120596&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	-695.314151850786
beta	1.02901925134798
S.D.	0.229426205558348
T-STAT	4.48518620113024
p-value	0.0109461704194534

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-3.39140430236211
beta	1.33559638135012
S.D.	0.18629935610322
T-STAT	7.16908747988437
p-value	0.00200429704625871
Lambda	-0.335596381350117

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -3.39140430236211 \tabularnewline
beta & 1.33559638135012 \tabularnewline
S.D. & 0.18629935610322 \tabularnewline
T-STAT & 7.16908747988437 \tabularnewline
p-value & 0.00200429704625871 \tabularnewline
Lambda & -0.335596381350117 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=120596&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-3.39140430236211[/C][/ROW]
[ROW][C]beta[/C][C]1.33559638135012[/C][/ROW]
[ROW][C]S.D.[/C][C]0.18629935610322[/C][/ROW]
[ROW][C]T-STAT[/C][C]7.16908747988437[/C][/ROW]
[ROW][C]p-value[/C][C]0.00200429704625871[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.335596381350117[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=120596&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=120596&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	-3.39140430236211
beta	1.33559638135012
S.D.	0.18629935610322
T-STAT	7.16908747988437
p-value	0.00200429704625871
Lambda	-0.335596381350117

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