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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

Fri, 10 Dec 2010 21:35:33 +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/10/t1292016829gpxrhqyympy0q2q.htm/, Retrieved Mon, 29 Apr 2024 15:22:53 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=107959, Retrieved Mon, 29 Apr 2024 15:22:53 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

242

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

-     [Multiple Regression] [Schiphol: MR - Mo...] [2010-12-10 19:50:21] [97ad38b1c3b35a5feca8b85f7bc7b3ff]
- RMPD    [Standard Deviation-Mean Plot] [Standard deviatio...] [2010-12-10 21:35:33] [9ea95e194e0eb2a674315798620d5bc6] [Current]
- R         [Standard Deviation-Mean Plot] [Paper - Standard ...] [2011-12-22 15:25:01] [69d59b79aaf660457acc70a0ef0bfdab] 

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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	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=107959&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=107959&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=107959&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	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	1559382.5	334108.044406025	974057
2	1730851	376289.738975893	1130975
3	1922475.58333333	370336.26253311	1092467
4	2071392.16666667	358391.980658008	1080621
5	2271837	374585.198555804	1107748
6	2585083.5	440009.143119983	1295541
7	2829345.66666667	445775.978883061	1329049
8	3035426.08333333	487060.727300827	1376610
9	3272550.83333333	519270.787054103	1461618
10	3275786.75	549102.975264886	1507343
11	3382296.83333333	564613.084819207	1559001
12	3317387.41666667	503061.176371488	1407057
13	3535449.33333333	551091.959387795	1596087
14	3673128.25	594731.132787845	1698669
15	3832261	630183.987399351	1885974
16	3978729	630339.486901088	1870129
17	3949309.25	627894.128927528	1694303
18	3626925.83333333	600551.839147937	1811468

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 1559382.5 & 334108.044406025 & 974057 \tabularnewline
2 & 1730851 & 376289.738975893 & 1130975 \tabularnewline
3 & 1922475.58333333 & 370336.26253311 & 1092467 \tabularnewline
4 & 2071392.16666667 & 358391.980658008 & 1080621 \tabularnewline
5 & 2271837 & 374585.198555804 & 1107748 \tabularnewline
6 & 2585083.5 & 440009.143119983 & 1295541 \tabularnewline
7 & 2829345.66666667 & 445775.978883061 & 1329049 \tabularnewline
8 & 3035426.08333333 & 487060.727300827 & 1376610 \tabularnewline
9 & 3272550.83333333 & 519270.787054103 & 1461618 \tabularnewline
10 & 3275786.75 & 549102.975264886 & 1507343 \tabularnewline
11 & 3382296.83333333 & 564613.084819207 & 1559001 \tabularnewline
12 & 3317387.41666667 & 503061.176371488 & 1407057 \tabularnewline
13 & 3535449.33333333 & 551091.959387795 & 1596087 \tabularnewline
14 & 3673128.25 & 594731.132787845 & 1698669 \tabularnewline
15 & 3832261 & 630183.987399351 & 1885974 \tabularnewline
16 & 3978729 & 630339.486901088 & 1870129 \tabularnewline
17 & 3949309.25 & 627894.128927528 & 1694303 \tabularnewline
18 & 3626925.83333333 & 600551.839147937 & 1811468 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=107959&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]1559382.5[/C][C]334108.044406025[/C][C]974057[/C][/ROW]
[ROW][C]2[/C][C]1730851[/C][C]376289.738975893[/C][C]1130975[/C][/ROW]
[ROW][C]3[/C][C]1922475.58333333[/C][C]370336.26253311[/C][C]1092467[/C][/ROW]
[ROW][C]4[/C][C]2071392.16666667[/C][C]358391.980658008[/C][C]1080621[/C][/ROW]
[ROW][C]5[/C][C]2271837[/C][C]374585.198555804[/C][C]1107748[/C][/ROW]
[ROW][C]6[/C][C]2585083.5[/C][C]440009.143119983[/C][C]1295541[/C][/ROW]
[ROW][C]7[/C][C]2829345.66666667[/C][C]445775.978883061[/C][C]1329049[/C][/ROW]
[ROW][C]8[/C][C]3035426.08333333[/C][C]487060.727300827[/C][C]1376610[/C][/ROW]
[ROW][C]9[/C][C]3272550.83333333[/C][C]519270.787054103[/C][C]1461618[/C][/ROW]
[ROW][C]10[/C][C]3275786.75[/C][C]549102.975264886[/C][C]1507343[/C][/ROW]
[ROW][C]11[/C][C]3382296.83333333[/C][C]564613.084819207[/C][C]1559001[/C][/ROW]
[ROW][C]12[/C][C]3317387.41666667[/C][C]503061.176371488[/C][C]1407057[/C][/ROW]
[ROW][C]13[/C][C]3535449.33333333[/C][C]551091.959387795[/C][C]1596087[/C][/ROW]
[ROW][C]14[/C][C]3673128.25[/C][C]594731.132787845[/C][C]1698669[/C][/ROW]
[ROW][C]15[/C][C]3832261[/C][C]630183.987399351[/C][C]1885974[/C][/ROW]
[ROW][C]16[/C][C]3978729[/C][C]630339.486901088[/C][C]1870129[/C][/ROW]
[ROW][C]17[/C][C]3949309.25[/C][C]627894.128927528[/C][C]1694303[/C][/ROW]
[ROW][C]18[/C][C]3626925.83333333[/C][C]600551.839147937[/C][C]1811468[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=107959&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=107959&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	1559382.5	334108.044406025	974057
2	1730851	376289.738975893	1130975
3	1922475.58333333	370336.26253311	1092467
4	2071392.16666667	358391.980658008	1080621
5	2271837	374585.198555804	1107748
6	2585083.5	440009.143119983	1295541
7	2829345.66666667	445775.978883061	1329049
8	3035426.08333333	487060.727300827	1376610
9	3272550.83333333	519270.787054103	1461618
10	3275786.75	549102.975264886	1507343
11	3382296.83333333	564613.084819207	1559001
12	3317387.41666667	503061.176371488	1407057
13	3535449.33333333	551091.959387795	1596087
14	3673128.25	594731.132787845	1698669
15	3832261	630183.987399351	1885974
16	3978729	630339.486901088	1870129
17	3949309.25	627894.128927528	1694303
18	3626925.83333333	600551.839147937	1811468

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	114448.309623034
beta	0.128084995129944
S.D.	0.00704003797922744
T-STAT	18.1937932022349
p-value	4.09611643002422e-12

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 114448.309623034 \tabularnewline
beta & 0.128084995129944 \tabularnewline
S.D. & 0.00704003797922744 \tabularnewline
T-STAT & 18.1937932022349 \tabularnewline
p-value & 4.09611643002422e-12 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=107959&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]114448.309623034[/C][/ROW]
[ROW][C]beta[/C][C]0.128084995129944[/C][/ROW]
[ROW][C]S.D.[/C][C]0.00704003797922744[/C][/ROW]
[ROW][C]T-STAT[/C][C]18.1937932022349[/C][/ROW]
[ROW][C]p-value[/C][C]4.09611643002422e-12[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=107959&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=107959&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	114448.309623034
beta	0.128084995129944
S.D.	0.00704003797922744
T-STAT	18.1937932022349
p-value	4.09611643002422e-12

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	2.56261354460837
beta	0.708221318022321
S.D.	0.0463847671643527
T-STAT	15.2684029977539
p-value	5.8546932428772e-11
Lambda	0.291778681977679

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 2.56261354460837 \tabularnewline
beta & 0.708221318022321 \tabularnewline
S.D. & 0.0463847671643527 \tabularnewline
T-STAT & 15.2684029977539 \tabularnewline
p-value & 5.8546932428772e-11 \tabularnewline
Lambda & 0.291778681977679 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=107959&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]2.56261354460837[/C][/ROW]
[ROW][C]beta[/C][C]0.708221318022321[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0463847671643527[/C][/ROW]
[ROW][C]T-STAT[/C][C]15.2684029977539[/C][/ROW]
[ROW][C]p-value[/C][C]5.8546932428772e-11[/C][/ROW]
[ROW][C]Lambda[/C][C]0.291778681977679[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=107959&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=107959&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	2.56261354460837
beta	0.708221318022321
S.D.	0.0463847671643527
T-STAT	15.2684029977539
p-value	5.8546932428772e-11
Lambda	0.291778681977679

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

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Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code