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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

Wed, 14 Aug 2013 10:38:00 -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/2013/Aug/14/t1376491110bv53euownw08v9r.htm/, Retrieved Sat, 04 May 2024 23:48:28 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=211100, Retrieved Sat, 04 May 2024 23:48:28 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

179

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

-     [Histogram] [Stap 2/2] [2013-08-14 13:02:24] [1cfd0014ba435dd2b8f9632cac0a7144]
- RMP   [Harrell-Davis Quantiles] [Stap 6 / 2] [2013-08-14 13:20:36] [9b490dd2ab715f1b5bf65aa31d98df3d]
- RMP       [Standard Deviation-Mean Plot] [Stap 21/2] [2013-08-14 14:38:00] [38a0db91cd47487c7649642dcb33e029] [Current]

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Histogram

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	'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 & 2 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=211100&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=211100&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211100&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	'Herman Ole Andreas Wold' @ wold.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	10360	667.805088602682	2040
2	10340	1037.12890405984	3720
3	10200	1016.94730354223	3360
4	10190	918.833252257745	2640
5	10110	854.8684109265	2760
6	9950	1042.95036053757	4080
7	9910	949.660226320206	3240
8	9940	965.213118247138	3000
9	9920	1232.64681957898	4080

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 10360 & 667.805088602682 & 2040 \tabularnewline
2 & 10340 & 1037.12890405984 & 3720 \tabularnewline
3 & 10200 & 1016.94730354223 & 3360 \tabularnewline
4 & 10190 & 918.833252257745 & 2640 \tabularnewline
5 & 10110 & 854.8684109265 & 2760 \tabularnewline
6 & 9950 & 1042.95036053757 & 4080 \tabularnewline
7 & 9910 & 949.660226320206 & 3240 \tabularnewline
8 & 9940 & 965.213118247138 & 3000 \tabularnewline
9 & 9920 & 1232.64681957898 & 4080 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=211100&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]10360[/C][C]667.805088602682[/C][C]2040[/C][/ROW]
[ROW][C]2[/C][C]10340[/C][C]1037.12890405984[/C][C]3720[/C][/ROW]
[ROW][C]3[/C][C]10200[/C][C]1016.94730354223[/C][C]3360[/C][/ROW]
[ROW][C]4[/C][C]10190[/C][C]918.833252257745[/C][C]2640[/C][/ROW]
[ROW][C]5[/C][C]10110[/C][C]854.8684109265[/C][C]2760[/C][/ROW]
[ROW][C]6[/C][C]9950[/C][C]1042.95036053757[/C][C]4080[/C][/ROW]
[ROW][C]7[/C][C]9910[/C][C]949.660226320206[/C][C]3240[/C][/ROW]
[ROW][C]8[/C][C]9940[/C][C]965.213118247138[/C][C]3000[/C][/ROW]
[ROW][C]9[/C][C]9920[/C][C]1232.64681957898[/C][C]4080[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=211100&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211100&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	10360	667.805088602682	2040
2	10340	1037.12890405984	3720
3	10200	1016.94730354223	3360
4	10190	918.833252257745	2640
5	10110	854.8684109265	2760
6	9950	1042.95036053757	4080
7	9910	949.660226320206	3240
8	9940	965.213118247138	3000
9	9920	1232.64681957898	4080

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	5512.36828891924
beta	-0.450123857415313
S.D.	0.273143876965763
T-STAT	-1.64793683979134
p-value	0.14335661277268

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 5512.36828891924 \tabularnewline
beta & -0.450123857415313 \tabularnewline
S.D. & 0.273143876965763 \tabularnewline
T-STAT & -1.64793683979134 \tabularnewline
p-value & 0.14335661277268 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=211100&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]5512.36828891924[/C][/ROW]
[ROW][C]beta[/C][C]-0.450123857415313[/C][/ROW]
[ROW][C]S.D.[/C][C]0.273143876965763[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.64793683979134[/C][/ROW]
[ROW][C]p-value[/C][C]0.14335661277268[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=211100&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211100&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	5512.36828891924
beta	-0.450123857415313
S.D.	0.273143876965763
T-STAT	-1.64793683979134
p-value	0.14335661277268

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	53.9488005671041
beta	-5.10701635515197
S.D.	2.99511661696258
T-STAT	-1.70511436056574
p-value	0.131944086656246
Lambda	6.10701635515197

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 53.9488005671041 \tabularnewline
beta & -5.10701635515197 \tabularnewline
S.D. & 2.99511661696258 \tabularnewline
T-STAT & -1.70511436056574 \tabularnewline
p-value & 0.131944086656246 \tabularnewline
Lambda & 6.10701635515197 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=211100&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]53.9488005671041[/C][/ROW]
[ROW][C]beta[/C][C]-5.10701635515197[/C][/ROW]
[ROW][C]S.D.[/C][C]2.99511661696258[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.70511436056574[/C][/ROW]
[ROW][C]p-value[/C][C]0.131944086656246[/C][/ROW]
[ROW][C]Lambda[/C][C]6.10701635515197[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=211100&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211100&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	53.9488005671041
beta	-5.10701635515197
S.D.	2.99511661696258
T-STAT	-1.70511436056574
p-value	0.131944086656246
Lambda	6.10701635515197

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 48 ; par2 = 1 ; par3 = 0 ; par4 = 0 ; par5 = 12 ; par6 = White Noise ; par7 = 0.95 ;

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