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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

Thu, 01 Dec 2011 09:39:02 -0500

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/Dec/01/t132275039473r35spv4zykrob.htm/, Retrieved Thu, 25 Apr 2024 17:21:39 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=149737, Retrieved Thu, 25 Apr 2024 17:21:39 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

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

-     [Univariate Data Series] [] [2008-12-08 19:22:39] [d2d412c7f4d35ffbf5ee5ee89db327d4]
- RMP     [Standard Deviation-Mean Plot] [] [2011-12-01 14:39:02] [86c924663d3d275e16f9cde57b3a6185] [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	'AstonUniversity' @ aston.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 & 'AstonUniversity' @ aston.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=149737&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]'AstonUniversity' @ aston.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=149737&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=149737&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	'AstonUniversity' @ aston.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	1048087.5	385728.838457363	900602
2	2190238.5	717730.17439541	1464488
3	1093988.25	231177.831671313	437781
4	1057697	381021.111657434	903241
5	2225683	799638.8878275	1759517
6	1096918.25	287930.677450175	590479
7	1073425.25	436712.684967569	1001459
8	2185944.75	733071.881642073	1456428
9	1206293	266586.903670579	522382
10	1067523.75	374882.614795063	867303
11	2134015.25	750367.544778502	1394660
12	1139584.5	273485.620580559	531693
13	1035716.25	327378.203850302	772467
14	2212830.25	737993.928248453	1423439
15	1148150.5	281914.295814053	556175
16	1029481	360636.412687349	831208
17	2166318	763448.204047924	1361964
18	1140973.75	277293.442791056	531970

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 1048087.5 & 385728.838457363 & 900602 \tabularnewline
2 & 2190238.5 & 717730.17439541 & 1464488 \tabularnewline
3 & 1093988.25 & 231177.831671313 & 437781 \tabularnewline
4 & 1057697 & 381021.111657434 & 903241 \tabularnewline
5 & 2225683 & 799638.8878275 & 1759517 \tabularnewline
6 & 1096918.25 & 287930.677450175 & 590479 \tabularnewline
7 & 1073425.25 & 436712.684967569 & 1001459 \tabularnewline
8 & 2185944.75 & 733071.881642073 & 1456428 \tabularnewline
9 & 1206293 & 266586.903670579 & 522382 \tabularnewline
10 & 1067523.75 & 374882.614795063 & 867303 \tabularnewline
11 & 2134015.25 & 750367.544778502 & 1394660 \tabularnewline
12 & 1139584.5 & 273485.620580559 & 531693 \tabularnewline
13 & 1035716.25 & 327378.203850302 & 772467 \tabularnewline
14 & 2212830.25 & 737993.928248453 & 1423439 \tabularnewline
15 & 1148150.5 & 281914.295814053 & 556175 \tabularnewline
16 & 1029481 & 360636.412687349 & 831208 \tabularnewline
17 & 2166318 & 763448.204047924 & 1361964 \tabularnewline
18 & 1140973.75 & 277293.442791056 & 531970 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=149737&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]1048087.5[/C][C]385728.838457363[/C][C]900602[/C][/ROW]
[ROW][C]2[/C][C]2190238.5[/C][C]717730.17439541[/C][C]1464488[/C][/ROW]
[ROW][C]3[/C][C]1093988.25[/C][C]231177.831671313[/C][C]437781[/C][/ROW]
[ROW][C]4[/C][C]1057697[/C][C]381021.111657434[/C][C]903241[/C][/ROW]
[ROW][C]5[/C][C]2225683[/C][C]799638.8878275[/C][C]1759517[/C][/ROW]
[ROW][C]6[/C][C]1096918.25[/C][C]287930.677450175[/C][C]590479[/C][/ROW]
[ROW][C]7[/C][C]1073425.25[/C][C]436712.684967569[/C][C]1001459[/C][/ROW]
[ROW][C]8[/C][C]2185944.75[/C][C]733071.881642073[/C][C]1456428[/C][/ROW]
[ROW][C]9[/C][C]1206293[/C][C]266586.903670579[/C][C]522382[/C][/ROW]
[ROW][C]10[/C][C]1067523.75[/C][C]374882.614795063[/C][C]867303[/C][/ROW]
[ROW][C]11[/C][C]2134015.25[/C][C]750367.544778502[/C][C]1394660[/C][/ROW]
[ROW][C]12[/C][C]1139584.5[/C][C]273485.620580559[/C][C]531693[/C][/ROW]
[ROW][C]13[/C][C]1035716.25[/C][C]327378.203850302[/C][C]772467[/C][/ROW]
[ROW][C]14[/C][C]2212830.25[/C][C]737993.928248453[/C][C]1423439[/C][/ROW]
[ROW][C]15[/C][C]1148150.5[/C][C]281914.295814053[/C][C]556175[/C][/ROW]
[ROW][C]16[/C][C]1029481[/C][C]360636.412687349[/C][C]831208[/C][/ROW]
[ROW][C]17[/C][C]2166318[/C][C]763448.204047924[/C][C]1361964[/C][/ROW]
[ROW][C]18[/C][C]1140973.75[/C][C]277293.442791056[/C][C]531970[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=149737&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=149737&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	1048087.5	385728.838457363	900602
2	2190238.5	717730.17439541	1464488
3	1093988.25	231177.831671313	437781
4	1057697	381021.111657434	903241
5	2225683	799638.8878275	1759517
6	1096918.25	287930.677450175	590479
7	1073425.25	436712.684967569	1001459
8	2185944.75	733071.881642073	1456428
9	1206293	266586.903670579	522382
10	1067523.75	374882.614795063	867303
11	2134015.25	750367.544778502	1394660
12	1139584.5	273485.620580559	531693
13	1035716.25	327378.203850302	772467
14	2212830.25	737993.928248453	1423439
15	1148150.5	281914.295814053	556175
16	1029481	360636.412687349	831208
17	2166318	763448.204047924	1361964
18	1140973.75	277293.442791056	531970

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-92906.0642728818
beta	0.383169874196874
S.D.	0.0304351334430173
T-STAT	12.5897221681078
p-value	1.02364607244802e-09

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -92906.0642728818 \tabularnewline
beta & 0.383169874196874 \tabularnewline
S.D. & 0.0304351334430173 \tabularnewline
T-STAT & 12.5897221681078 \tabularnewline
p-value & 1.02364607244802e-09 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=149737&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-92906.0642728818[/C][/ROW]
[ROW][C]beta[/C][C]0.383169874196874[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0304351334430173[/C][/ROW]
[ROW][C]T-STAT[/C][C]12.5897221681078[/C][/ROW]
[ROW][C]p-value[/C][C]1.02364607244802e-09[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=149737&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=149737&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	-92906.0642728818
beta	0.383169874196874
S.D.	0.0304351334430173
T-STAT	12.5897221681078
p-value	1.02364607244802e-09

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-3.80598382929598
beta	1.1857965729163
S.D.	0.141748990269583
T-STAT	8.36546751169878
p-value	3.09156486439321e-07
Lambda	-0.1857965729163

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -3.80598382929598 \tabularnewline
beta & 1.1857965729163 \tabularnewline
S.D. & 0.141748990269583 \tabularnewline
T-STAT & 8.36546751169878 \tabularnewline
p-value & 3.09156486439321e-07 \tabularnewline
Lambda & -0.1857965729163 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=149737&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-3.80598382929598[/C][/ROW]
[ROW][C]beta[/C][C]1.1857965729163[/C][/ROW]
[ROW][C]S.D.[/C][C]0.141748990269583[/C][/ROW]
[ROW][C]T-STAT[/C][C]8.36546751169878[/C][/ROW]
[ROW][C]p-value[/C][C]3.09156486439321e-07[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.1857965729163[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=149737&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=149737&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	-3.80598382929598
beta	1.1857965729163
S.D.	0.141748990269583
T-STAT	8.36546751169878
p-value	3.09156486439321e-07
Lambda	-0.1857965729163

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')

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Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code