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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

Tue, 07 Dec 2010 14:36:19 +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/2010/Dec/07/t1291732597xvbrbcslrfzeog4.htm/, Retrieved Fri, 03 May 2024 23:05:29 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=106364, Retrieved Fri, 03 May 2024 23:05:29 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

122

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

-     [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-12 13:32:37] [76963dc1903f0f612b6153510a3818cf]
- R  D  [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-17 12:14:40] [76963dc1903f0f612b6153510a3818cf]
-         [Univariate Explorative Data Analysis] [Run Sequence Plot...] [2008-12-22 18:19:51] [1ce0d16c8f4225c977b42c8fa93bc163]
- RMP       [Univariate Data Series] [Identifying Integ...] [2009-11-22 12:08:06] [b98453cac15ba1066b407e146608df68]
- RMP         [Standard Deviation-Mean Plot] [Births] [2010-11-29 10:52:49] [b98453cac15ba1066b407e146608df68]
-   PD            [Standard Deviation-Mean Plot] [stationarity vrm ] [2010-12-07 14:36:19] [8f110cf3e3846d42560df9b5835185a6] [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	2 seconds
R Server	'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=106364&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=106364&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=106364&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	'George Udny Yule' @ 72.249.76.132

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	35984	3678.00389704343	8632
2	49053.25	4275.742381934	10033
3	58330.25	1889.08344177805	4586
4	63761	1547.11990485547	3336
5	57779.5	1253.78693033014	2936
6	60468.25	2330.27128249052	5682
7	65136	758.568827903353	1732
8	67782.75	1644.36641800624	3869
9	73217	1229.27322701939	2635
10	76658.25	2693.97987804908	5838
11	81564.75	311.737469676008	734

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 35984 & 3678.00389704343 & 8632 \tabularnewline
2 & 49053.25 & 4275.742381934 & 10033 \tabularnewline
3 & 58330.25 & 1889.08344177805 & 4586 \tabularnewline
4 & 63761 & 1547.11990485547 & 3336 \tabularnewline
5 & 57779.5 & 1253.78693033014 & 2936 \tabularnewline
6 & 60468.25 & 2330.27128249052 & 5682 \tabularnewline
7 & 65136 & 758.568827903353 & 1732 \tabularnewline
8 & 67782.75 & 1644.36641800624 & 3869 \tabularnewline
9 & 73217 & 1229.27322701939 & 2635 \tabularnewline
10 & 76658.25 & 2693.97987804908 & 5838 \tabularnewline
11 & 81564.75 & 311.737469676008 & 734 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=106364&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]35984[/C][C]3678.00389704343[/C][C]8632[/C][/ROW]
[ROW][C]2[/C][C]49053.25[/C][C]4275.742381934[/C][C]10033[/C][/ROW]
[ROW][C]3[/C][C]58330.25[/C][C]1889.08344177805[/C][C]4586[/C][/ROW]
[ROW][C]4[/C][C]63761[/C][C]1547.11990485547[/C][C]3336[/C][/ROW]
[ROW][C]5[/C][C]57779.5[/C][C]1253.78693033014[/C][C]2936[/C][/ROW]
[ROW][C]6[/C][C]60468.25[/C][C]2330.27128249052[/C][C]5682[/C][/ROW]
[ROW][C]7[/C][C]65136[/C][C]758.568827903353[/C][C]1732[/C][/ROW]
[ROW][C]8[/C][C]67782.75[/C][C]1644.36641800624[/C][C]3869[/C][/ROW]
[ROW][C]9[/C][C]73217[/C][C]1229.27322701939[/C][C]2635[/C][/ROW]
[ROW][C]10[/C][C]76658.25[/C][C]2693.97987804908[/C][C]5838[/C][/ROW]
[ROW][C]11[/C][C]81564.75[/C][C]311.737469676008[/C][C]734[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=106364&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=106364&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	35984	3678.00389704343	8632
2	49053.25	4275.742381934	10033
3	58330.25	1889.08344177805	4586
4	63761	1547.11990485547	3336
5	57779.5	1253.78693033014	2936
6	60468.25	2330.27128249052	5682
7	65136	758.568827903353	1732
8	67782.75	1644.36641800624	3869
9	73217	1229.27322701939	2635
10	76658.25	2693.97987804908	5838
11	81564.75	311.737469676008	734

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	6089.4560228343
beta	-0.0657819055029709
S.D.	0.0222989250704676
T-STAT	-2.95000343268078
p-value	0.0162208398484677

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 6089.4560228343 \tabularnewline
beta & -0.0657819055029709 \tabularnewline
S.D. & 0.0222989250704676 \tabularnewline
T-STAT & -2.95000343268078 \tabularnewline
p-value & 0.0162208398484677 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=106364&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]6089.4560228343[/C][/ROW]
[ROW][C]beta[/C][C]-0.0657819055029709[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0222989250704676[/C][/ROW]
[ROW][C]T-STAT[/C][C]-2.95000343268078[/C][/ROW]
[ROW][C]p-value[/C][C]0.0162208398484677[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=106364&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=106364&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	6089.4560228343
beta	-0.0657819055029709
S.D.	0.0222989250704676
T-STAT	-2.95000343268078
p-value	0.0162208398484677

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	30.8441272554254
beta	-2.12872863742028
S.D.	0.81735431206621
T-STAT	-2.60441354011948
p-value	0.0285309557831975
Lambda	3.12872863742028

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 30.8441272554254 \tabularnewline
beta & -2.12872863742028 \tabularnewline
S.D. & 0.81735431206621 \tabularnewline
T-STAT & -2.60441354011948 \tabularnewline
p-value & 0.0285309557831975 \tabularnewline
Lambda & 3.12872863742028 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=106364&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]30.8441272554254[/C][/ROW]
[ROW][C]beta[/C][C]-2.12872863742028[/C][/ROW]
[ROW][C]S.D.[/C][C]0.81735431206621[/C][/ROW]
[ROW][C]T-STAT[/C][C]-2.60441354011948[/C][/ROW]
[ROW][C]p-value[/C][C]0.0285309557831975[/C][/ROW]
[ROW][C]Lambda[/C][C]3.12872863742028[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=106364&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=106364&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	30.8441272554254
beta	-2.12872863742028
S.D.	0.81735431206621
T-STAT	-2.60441354011948
p-value	0.0285309557831975
Lambda	3.12872863742028

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 4 ;

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

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code