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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, 08 Dec 2011 12:07:26 -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/08/t1323364154f08x0b5htrzxmev.htm/, Retrieved Fri, 03 May 2024 14:12:43 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=153057, Retrieved Fri, 03 May 2024 14:12:43 +0000

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Estimated Impact

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

-       [Standard Deviation-Mean Plot] [Workshop 9] [2011-12-08 17:07:26] [02ed7fa8d7b1f39a2d911dce6cf09d8a] [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	'George Udny Yule' @ yule.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 & 1 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=153057&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]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=153057&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=153057&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	'George Udny Yule' @ yule.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	13419.5	464.51444182788	1127
2	13874.5	328.962510528682	708
3	14375.5	1341.91567047511	3218
4	14608.75	465.406184602941	1046
5	14957	405.411724875671	974
6	15470	1202.09622465647	2751
7	15463.5	482.926150323905	1073
8	15901.25	287.619395498055	664
9	16691.25	1518.20757803404	3211
10	16412.25	629.888019148377	1527
11	16383.75	96.4308906246679	228
12	16937.25	1424.03098632017	3108
13	16984.5	672.078616433127	1590
14	17220.25	303.935711404018	601
15	17973	1474.74540175584	3171
16	17990.75	770.63496546679	1836
17	18637.75	452.527991767729	1040
18	19287.75	1363.92066607018	3136
19	19372.75	747.452283872801	1804
20	19767.25	411.87164262668	801
21	20027.5	1407.18217252304	3319

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 13419.5 & 464.51444182788 & 1127 \tabularnewline
2 & 13874.5 & 328.962510528682 & 708 \tabularnewline
3 & 14375.5 & 1341.91567047511 & 3218 \tabularnewline
4 & 14608.75 & 465.406184602941 & 1046 \tabularnewline
5 & 14957 & 405.411724875671 & 974 \tabularnewline
6 & 15470 & 1202.09622465647 & 2751 \tabularnewline
7 & 15463.5 & 482.926150323905 & 1073 \tabularnewline
8 & 15901.25 & 287.619395498055 & 664 \tabularnewline
9 & 16691.25 & 1518.20757803404 & 3211 \tabularnewline
10 & 16412.25 & 629.888019148377 & 1527 \tabularnewline
11 & 16383.75 & 96.4308906246679 & 228 \tabularnewline
12 & 16937.25 & 1424.03098632017 & 3108 \tabularnewline
13 & 16984.5 & 672.078616433127 & 1590 \tabularnewline
14 & 17220.25 & 303.935711404018 & 601 \tabularnewline
15 & 17973 & 1474.74540175584 & 3171 \tabularnewline
16 & 17990.75 & 770.63496546679 & 1836 \tabularnewline
17 & 18637.75 & 452.527991767729 & 1040 \tabularnewline
18 & 19287.75 & 1363.92066607018 & 3136 \tabularnewline
19 & 19372.75 & 747.452283872801 & 1804 \tabularnewline
20 & 19767.25 & 411.87164262668 & 801 \tabularnewline
21 & 20027.5 & 1407.18217252304 & 3319 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=153057&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]13419.5[/C][C]464.51444182788[/C][C]1127[/C][/ROW]
[ROW][C]2[/C][C]13874.5[/C][C]328.962510528682[/C][C]708[/C][/ROW]
[ROW][C]3[/C][C]14375.5[/C][C]1341.91567047511[/C][C]3218[/C][/ROW]
[ROW][C]4[/C][C]14608.75[/C][C]465.406184602941[/C][C]1046[/C][/ROW]
[ROW][C]5[/C][C]14957[/C][C]405.411724875671[/C][C]974[/C][/ROW]
[ROW][C]6[/C][C]15470[/C][C]1202.09622465647[/C][C]2751[/C][/ROW]
[ROW][C]7[/C][C]15463.5[/C][C]482.926150323905[/C][C]1073[/C][/ROW]
[ROW][C]8[/C][C]15901.25[/C][C]287.619395498055[/C][C]664[/C][/ROW]
[ROW][C]9[/C][C]16691.25[/C][C]1518.20757803404[/C][C]3211[/C][/ROW]
[ROW][C]10[/C][C]16412.25[/C][C]629.888019148377[/C][C]1527[/C][/ROW]
[ROW][C]11[/C][C]16383.75[/C][C]96.4308906246679[/C][C]228[/C][/ROW]
[ROW][C]12[/C][C]16937.25[/C][C]1424.03098632017[/C][C]3108[/C][/ROW]
[ROW][C]13[/C][C]16984.5[/C][C]672.078616433127[/C][C]1590[/C][/ROW]
[ROW][C]14[/C][C]17220.25[/C][C]303.935711404018[/C][C]601[/C][/ROW]
[ROW][C]15[/C][C]17973[/C][C]1474.74540175584[/C][C]3171[/C][/ROW]
[ROW][C]16[/C][C]17990.75[/C][C]770.63496546679[/C][C]1836[/C][/ROW]
[ROW][C]17[/C][C]18637.75[/C][C]452.527991767729[/C][C]1040[/C][/ROW]
[ROW][C]18[/C][C]19287.75[/C][C]1363.92066607018[/C][C]3136[/C][/ROW]
[ROW][C]19[/C][C]19372.75[/C][C]747.452283872801[/C][C]1804[/C][/ROW]
[ROW][C]20[/C][C]19767.25[/C][C]411.87164262668[/C][C]801[/C][/ROW]
[ROW][C]21[/C][C]20027.5[/C][C]1407.18217252304[/C][C]3319[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=153057&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=153057&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	13419.5	464.51444182788	1127
2	13874.5	328.962510528682	708
3	14375.5	1341.91567047511	3218
4	14608.75	465.406184602941	1046
5	14957	405.411724875671	974
6	15470	1202.09622465647	2751
7	15463.5	482.926150323905	1073
8	15901.25	287.619395498055	664
9	16691.25	1518.20757803404	3211
10	16412.25	629.888019148377	1527
11	16383.75	96.4308906246679	228
12	16937.25	1424.03098632017	3108
13	16984.5	672.078616433127	1590
14	17220.25	303.935711404018	601
15	17973	1474.74540175584	3171
16	17990.75	770.63496546679	1836
17	18637.75	452.527991767729	1040
18	19287.75	1363.92066607018	3136
19	19372.75	747.452283872801	1804
20	19767.25	411.87164262668	801
21	20027.5	1407.18217252304	3319

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-378.887330636969
beta	0.0688215500864592
S.D.	0.0532083283096434
T-STAT	1.29343567582043
p-value	0.21136530532548

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -378.887330636969 \tabularnewline
beta & 0.0688215500864592 \tabularnewline
S.D. & 0.0532083283096434 \tabularnewline
T-STAT & 1.29343567582043 \tabularnewline
p-value & 0.21136530532548 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=153057&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-378.887330636969[/C][/ROW]
[ROW][C]beta[/C][C]0.0688215500864592[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0532083283096434[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.29343567582043[/C][/ROW]
[ROW][C]p-value[/C][C]0.21136530532548[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=153057&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=153057&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	-378.887330636969
beta	0.0688215500864592
S.D.	0.0532083283096434
T-STAT	1.29343567582043
p-value	0.21136530532548

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-9.28441604214621
beta	1.61766659238312
S.D.	1.3462112446895
T-STAT	1.20164394612246
p-value	0.244266017597795
Lambda	-0.61766659238312

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -9.28441604214621 \tabularnewline
beta & 1.61766659238312 \tabularnewline
S.D. & 1.3462112446895 \tabularnewline
T-STAT & 1.20164394612246 \tabularnewline
p-value & 0.244266017597795 \tabularnewline
Lambda & -0.61766659238312 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=153057&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-9.28441604214621[/C][/ROW]
[ROW][C]beta[/C][C]1.61766659238312[/C][/ROW]
[ROW][C]S.D.[/C][C]1.3462112446895[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.20164394612246[/C][/ROW]
[ROW][C]p-value[/C][C]0.244266017597795[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.61766659238312[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=153057&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=153057&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	-9.28441604214621
beta	1.61766659238312
S.D.	1.3462112446895
T-STAT	1.20164394612246
p-value	0.244266017597795
Lambda	-0.61766659238312

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

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Figures (Output of Computation)

Input Parameters & R Code