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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

Wed, 29 Dec 2010 13:38:25 +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/29/t1293629815mwvy0ztbzyjp6i6.htm/, Retrieved Fri, 03 May 2024 06:26:13 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=116819, Retrieved Fri, 03 May 2024 06:26:13 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

132

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

-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Standard Deviation-Mean Plot] [Unemployment] [2010-11-29 10:34:47] [b98453cac15ba1066b407e146608df68]
- R PD      [Standard Deviation-Mean Plot] [SDMP] [2010-12-29 13:38:25] [062de5fc17e30860c0960288bdb996a8] [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	'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116819&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116819&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116819&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	'RServer@AstonUniversity' @ vre.aston.ac.uk

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	567.083333333333	107.49753344598	312
2	592.25	110.998873868161	397
3	600	125.046173290291	447
4	634.333333333333	125.362988110043	466
5	666.916666666667	147.687913171558	487
6	660.25	146.176807636879	487
7	626.5	131.778395249546	400
8	643.416666666667	145.817107322422	508
9	713.833333333333	164.337697403483	560
10	788.166666666667	177.40699654817	619

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 567.083333333333 & 107.49753344598 & 312 \tabularnewline
2 & 592.25 & 110.998873868161 & 397 \tabularnewline
3 & 600 & 125.046173290291 & 447 \tabularnewline
4 & 634.333333333333 & 125.362988110043 & 466 \tabularnewline
5 & 666.916666666667 & 147.687913171558 & 487 \tabularnewline
6 & 660.25 & 146.176807636879 & 487 \tabularnewline
7 & 626.5 & 131.778395249546 & 400 \tabularnewline
8 & 643.416666666667 & 145.817107322422 & 508 \tabularnewline
9 & 713.833333333333 & 164.337697403483 & 560 \tabularnewline
10 & 788.166666666667 & 177.40699654817 & 619 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116819&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]567.083333333333[/C][C]107.49753344598[/C][C]312[/C][/ROW]
[ROW][C]2[/C][C]592.25[/C][C]110.998873868161[/C][C]397[/C][/ROW]
[ROW][C]3[/C][C]600[/C][C]125.046173290291[/C][C]447[/C][/ROW]
[ROW][C]4[/C][C]634.333333333333[/C][C]125.362988110043[/C][C]466[/C][/ROW]
[ROW][C]5[/C][C]666.916666666667[/C][C]147.687913171558[/C][C]487[/C][/ROW]
[ROW][C]6[/C][C]660.25[/C][C]146.176807636879[/C][C]487[/C][/ROW]
[ROW][C]7[/C][C]626.5[/C][C]131.778395249546[/C][C]400[/C][/ROW]
[ROW][C]8[/C][C]643.416666666667[/C][C]145.817107322422[/C][C]508[/C][/ROW]
[ROW][C]9[/C][C]713.833333333333[/C][C]164.337697403483[/C][C]560[/C][/ROW]
[ROW][C]10[/C][C]788.166666666667[/C][C]177.40699654817[/C][C]619[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116819&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116819&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	567.083333333333	107.49753344598	312
2	592.25	110.998873868161	397
3	600	125.046173290291	447
4	634.333333333333	125.362988110043	466
5	666.916666666667	147.687913171558	487
6	660.25	146.176807636879	487
7	626.5	131.778395249546	400
8	643.416666666667	145.817107322422	508
9	713.833333333333	164.337697403483	560
10	788.166666666667	177.40699654817	619

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-78.8571686272661
beta	0.334324003283539
S.D.	0.0341743421126631
T-STAT	9.782895079044
p-value	9.99723549575463e-06

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -78.8571686272661 \tabularnewline
beta & 0.334324003283539 \tabularnewline
S.D. & 0.0341743421126631 \tabularnewline
T-STAT & 9.782895079044 \tabularnewline
p-value & 9.99723549575463e-06 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116819&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-78.8571686272661[/C][/ROW]
[ROW][C]beta[/C][C]0.334324003283539[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0341743421126631[/C][/ROW]
[ROW][C]T-STAT[/C][C]9.782895079044[/C][/ROW]
[ROW][C]p-value[/C][C]9.99723549575463e-06[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116819&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116819&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	-78.8571686272661
beta	0.334324003283539
S.D.	0.0341743421126631
T-STAT	9.782895079044
p-value	9.99723549575463e-06

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-5.51124563016766
beta	1.6113829723666
S.D.	0.177451043096841
T-STAT	9.08071851393518
p-value	1.73530092998039e-05
Lambda	-0.611382972366597

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -5.51124563016766 \tabularnewline
beta & 1.6113829723666 \tabularnewline
S.D. & 0.177451043096841 \tabularnewline
T-STAT & 9.08071851393518 \tabularnewline
p-value & 1.73530092998039e-05 \tabularnewline
Lambda & -0.611382972366597 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116819&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-5.51124563016766[/C][/ROW]
[ROW][C]beta[/C][C]1.6113829723666[/C][/ROW]
[ROW][C]S.D.[/C][C]0.177451043096841[/C][/ROW]
[ROW][C]T-STAT[/C][C]9.08071851393518[/C][/ROW]
[ROW][C]p-value[/C][C]1.73530092998039e-05[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.611382972366597[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116819&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116819&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	-5.51124563016766
beta	1.6113829723666
S.D.	0.177451043096841
T-STAT	9.08071851393518
p-value	1.73530092998039e-05
Lambda	-0.611382972366597

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