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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, 27 Dec 2009 02:57:02 -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/2009/Dec/27/t1261907870sak5qone3qv63sv.htm/, Retrieved Thu, 02 May 2024 22:33:23 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=70804, Retrieved Thu, 02 May 2024 22:33:23 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

158

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

-       [Standard Deviation-Mean Plot] [] [2009-12-27 09:57:02] [f6a332ba2d530c028d935c5a5bbb53af] [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	'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=70804&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=70804&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=70804&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	'Gwilym Jenkins' @ 72.249.127.135

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	31471	3705.63381893031	8409
2	20634.75	3379.82034778971	6782
3	19031	3793.03950238679	8975
4	27728	2004.24000558815	4152
5	21537.25	4150.63090585837	9074
6	17161.5	4349.65121207053	9087
7	30783.25	3160.02693817632	7341
8	21478	4501.68390716185	9408
9	16487.25	4992.29448750772	11628
10	28546.25	2725.01392962801	5265
11	22496	3481.91939405074	7090
12	19438	4983.23241815323	12038
13	30907.5	985.083583594137	1915
14	22663.75	4366.83679375968	9046
15	17529.75	4963.41444135654	11009
16	25879.5	1540.95738638895	3696
17	19818.5	2440.36834651383	5788

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 31471 & 3705.63381893031 & 8409 \tabularnewline
2 & 20634.75 & 3379.82034778971 & 6782 \tabularnewline
3 & 19031 & 3793.03950238679 & 8975 \tabularnewline
4 & 27728 & 2004.24000558815 & 4152 \tabularnewline
5 & 21537.25 & 4150.63090585837 & 9074 \tabularnewline
6 & 17161.5 & 4349.65121207053 & 9087 \tabularnewline
7 & 30783.25 & 3160.02693817632 & 7341 \tabularnewline
8 & 21478 & 4501.68390716185 & 9408 \tabularnewline
9 & 16487.25 & 4992.29448750772 & 11628 \tabularnewline
10 & 28546.25 & 2725.01392962801 & 5265 \tabularnewline
11 & 22496 & 3481.91939405074 & 7090 \tabularnewline
12 & 19438 & 4983.23241815323 & 12038 \tabularnewline
13 & 30907.5 & 985.083583594137 & 1915 \tabularnewline
14 & 22663.75 & 4366.83679375968 & 9046 \tabularnewline
15 & 17529.75 & 4963.41444135654 & 11009 \tabularnewline
16 & 25879.5 & 1540.95738638895 & 3696 \tabularnewline
17 & 19818.5 & 2440.36834651383 & 5788 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=70804&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]31471[/C][C]3705.63381893031[/C][C]8409[/C][/ROW]
[ROW][C]2[/C][C]20634.75[/C][C]3379.82034778971[/C][C]6782[/C][/ROW]
[ROW][C]3[/C][C]19031[/C][C]3793.03950238679[/C][C]8975[/C][/ROW]
[ROW][C]4[/C][C]27728[/C][C]2004.24000558815[/C][C]4152[/C][/ROW]
[ROW][C]5[/C][C]21537.25[/C][C]4150.63090585837[/C][C]9074[/C][/ROW]
[ROW][C]6[/C][C]17161.5[/C][C]4349.65121207053[/C][C]9087[/C][/ROW]
[ROW][C]7[/C][C]30783.25[/C][C]3160.02693817632[/C][C]7341[/C][/ROW]
[ROW][C]8[/C][C]21478[/C][C]4501.68390716185[/C][C]9408[/C][/ROW]
[ROW][C]9[/C][C]16487.25[/C][C]4992.29448750772[/C][C]11628[/C][/ROW]
[ROW][C]10[/C][C]28546.25[/C][C]2725.01392962801[/C][C]5265[/C][/ROW]
[ROW][C]11[/C][C]22496[/C][C]3481.91939405074[/C][C]7090[/C][/ROW]
[ROW][C]12[/C][C]19438[/C][C]4983.23241815323[/C][C]12038[/C][/ROW]
[ROW][C]13[/C][C]30907.5[/C][C]985.083583594137[/C][C]1915[/C][/ROW]
[ROW][C]14[/C][C]22663.75[/C][C]4366.83679375968[/C][C]9046[/C][/ROW]
[ROW][C]15[/C][C]17529.75[/C][C]4963.41444135654[/C][C]11009[/C][/ROW]
[ROW][C]16[/C][C]25879.5[/C][C]1540.95738638895[/C][C]3696[/C][/ROW]
[ROW][C]17[/C][C]19818.5[/C][C]2440.36834651383[/C][C]5788[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=70804&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=70804&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	31471	3705.63381893031	8409
2	20634.75	3379.82034778971	6782
3	19031	3793.03950238679	8975
4	27728	2004.24000558815	4152
5	21537.25	4150.63090585837	9074
6	17161.5	4349.65121207053	9087
7	30783.25	3160.02693817632	7341
8	21478	4501.68390716185	9408
9	16487.25	4992.29448750772	11628
10	28546.25	2725.01392962801	5265
11	22496	3481.91939405074	7090
12	19438	4983.23241815323	12038
13	30907.5	985.083583594137	1915
14	22663.75	4366.83679375968	9046
15	17529.75	4963.41444135654	11009
16	25879.5	1540.95738638895	3696
17	19818.5	2440.36834651383	5788

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	7218.99774543792
beta	-0.160570424910436
S.D.	0.0463371855993432
T-STAT	-3.46526062887842
p-value	0.00346171698049887

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 7218.99774543792 \tabularnewline
beta & -0.160570424910436 \tabularnewline
S.D. & 0.0463371855993432 \tabularnewline
T-STAT & -3.46526062887842 \tabularnewline
p-value & 0.00346171698049887 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=70804&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]7218.99774543792[/C][/ROW]
[ROW][C]beta[/C][C]-0.160570424910436[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0463371855993432[/C][/ROW]
[ROW][C]T-STAT[/C][C]-3.46526062887842[/C][/ROW]
[ROW][C]p-value[/C][C]0.00346171698049887[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=70804&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=70804&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	7218.99774543792
beta	-0.160570424910436
S.D.	0.0463371855993432
T-STAT	-3.46526062887842
p-value	0.00346171698049887

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	21.4620523093130
beta	-1.33433750302984
S.D.	0.418265660170856
T-STAT	-3.19016747032204
p-value	0.0060851106068528
Lambda	2.33433750302984

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 21.4620523093130 \tabularnewline
beta & -1.33433750302984 \tabularnewline
S.D. & 0.418265660170856 \tabularnewline
T-STAT & -3.19016747032204 \tabularnewline
p-value & 0.0060851106068528 \tabularnewline
Lambda & 2.33433750302984 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=70804&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]21.4620523093130[/C][/ROW]
[ROW][C]beta[/C][C]-1.33433750302984[/C][/ROW]
[ROW][C]S.D.[/C][C]0.418265660170856[/C][/ROW]
[ROW][C]T-STAT[/C][C]-3.19016747032204[/C][/ROW]
[ROW][C]p-value[/C][C]0.0060851106068528[/C][/ROW]
[ROW][C]Lambda[/C][C]2.33433750302984[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=70804&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=70804&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	21.4620523093130
beta	-1.33433750302984
S.D.	0.418265660170856
T-STAT	-3.19016747032204
p-value	0.0060851106068528
Lambda	2.33433750302984

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 12 ;

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

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Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code