Repository of Reproducible Computations

Free Statistics

of Irreproducible Research!

Author's title

Author

*Unverified author*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Mon, 01 Jun 2009 15:30:08 -0600

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/2009/Jun/01/t1243891869jtjqhuewdbmc6aw.htm/, Retrieved Mon, 13 May 2024 15:06:20 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=41117, Retrieved Mon, 13 May 2024 15:06:20 +0000

QR Codes:

Paste this QR Code to cite your computation.

Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Maandelijkse verkoop auto's

Estimated Impact

129

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

-       [Standard Deviation-Mean Plot] [Nick Vermeulen St...] [2009-06-01 21:30:08] [2c8a5cc66f27790b8fc8930915f8068b] [Current]
- RMP     [Classical Decomposition] [Nick Vermeulen op...] [2009-06-01 21:44:12] [74be16979710d4c4e7c6647856088456] 

Feedback Forum

Post a new message

Dataseries X:

Download CSV

Histogram

Boxplots

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' @ 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 & 1 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41117&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' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41117&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41117&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' @ 72.249.76.132

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	15698.75	870.072171335995	2063
2	14353.75	1847.34988113604	3962
3	14771.25	1414.43377952687	2929
4	16438.5	322.637567558398	701
5	14815.5	2148.81773695832	4715
6	15879.5	1887.55794613040	4281
7	16935.25	405.680806381898	926
8	15298.25	2341.90397967124	4458
9	16286.5	982.54821764634	1918
10	17931.75	1430.22990576107	3256
11	14779.5	3004.9961175793	6178
12	16551	1809.93922549902	4314
13	18021	1729.10246467158	3923
14	17150	3358.77388342830	7128
15	19643.25	1407.49881586688	3328
16	21145.5	836.91437236235	1666
17	17809.75	4106.98919526214	9239
18	19345.5	1798.18158148725	3732
19	18844	3917.74943898492	8711
20	19949.75	4082.0055017928	8900
21	17718.75	4449.23689149799	10413
22	16797	1461.26087107448	3300
23	18489.5	2887.27524377800	6372
24	19685	3820.50040352482	9044

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 15698.75 & 870.072171335995 & 2063 \tabularnewline
2 & 14353.75 & 1847.34988113604 & 3962 \tabularnewline
3 & 14771.25 & 1414.43377952687 & 2929 \tabularnewline
4 & 16438.5 & 322.637567558398 & 701 \tabularnewline
5 & 14815.5 & 2148.81773695832 & 4715 \tabularnewline
6 & 15879.5 & 1887.55794613040 & 4281 \tabularnewline
7 & 16935.25 & 405.680806381898 & 926 \tabularnewline
8 & 15298.25 & 2341.90397967124 & 4458 \tabularnewline
9 & 16286.5 & 982.54821764634 & 1918 \tabularnewline
10 & 17931.75 & 1430.22990576107 & 3256 \tabularnewline
11 & 14779.5 & 3004.9961175793 & 6178 \tabularnewline
12 & 16551 & 1809.93922549902 & 4314 \tabularnewline
13 & 18021 & 1729.10246467158 & 3923 \tabularnewline
14 & 17150 & 3358.77388342830 & 7128 \tabularnewline
15 & 19643.25 & 1407.49881586688 & 3328 \tabularnewline
16 & 21145.5 & 836.91437236235 & 1666 \tabularnewline
17 & 17809.75 & 4106.98919526214 & 9239 \tabularnewline
18 & 19345.5 & 1798.18158148725 & 3732 \tabularnewline
19 & 18844 & 3917.74943898492 & 8711 \tabularnewline
20 & 19949.75 & 4082.0055017928 & 8900 \tabularnewline
21 & 17718.75 & 4449.23689149799 & 10413 \tabularnewline
22 & 16797 & 1461.26087107448 & 3300 \tabularnewline
23 & 18489.5 & 2887.27524377800 & 6372 \tabularnewline
24 & 19685 & 3820.50040352482 & 9044 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41117&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]15698.75[/C][C]870.072171335995[/C][C]2063[/C][/ROW]
[ROW][C]2[/C][C]14353.75[/C][C]1847.34988113604[/C][C]3962[/C][/ROW]
[ROW][C]3[/C][C]14771.25[/C][C]1414.43377952687[/C][C]2929[/C][/ROW]
[ROW][C]4[/C][C]16438.5[/C][C]322.637567558398[/C][C]701[/C][/ROW]
[ROW][C]5[/C][C]14815.5[/C][C]2148.81773695832[/C][C]4715[/C][/ROW]
[ROW][C]6[/C][C]15879.5[/C][C]1887.55794613040[/C][C]4281[/C][/ROW]
[ROW][C]7[/C][C]16935.25[/C][C]405.680806381898[/C][C]926[/C][/ROW]
[ROW][C]8[/C][C]15298.25[/C][C]2341.90397967124[/C][C]4458[/C][/ROW]
[ROW][C]9[/C][C]16286.5[/C][C]982.54821764634[/C][C]1918[/C][/ROW]
[ROW][C]10[/C][C]17931.75[/C][C]1430.22990576107[/C][C]3256[/C][/ROW]
[ROW][C]11[/C][C]14779.5[/C][C]3004.9961175793[/C][C]6178[/C][/ROW]
[ROW][C]12[/C][C]16551[/C][C]1809.93922549902[/C][C]4314[/C][/ROW]
[ROW][C]13[/C][C]18021[/C][C]1729.10246467158[/C][C]3923[/C][/ROW]
[ROW][C]14[/C][C]17150[/C][C]3358.77388342830[/C][C]7128[/C][/ROW]
[ROW][C]15[/C][C]19643.25[/C][C]1407.49881586688[/C][C]3328[/C][/ROW]
[ROW][C]16[/C][C]21145.5[/C][C]836.91437236235[/C][C]1666[/C][/ROW]
[ROW][C]17[/C][C]17809.75[/C][C]4106.98919526214[/C][C]9239[/C][/ROW]
[ROW][C]18[/C][C]19345.5[/C][C]1798.18158148725[/C][C]3732[/C][/ROW]
[ROW][C]19[/C][C]18844[/C][C]3917.74943898492[/C][C]8711[/C][/ROW]
[ROW][C]20[/C][C]19949.75[/C][C]4082.0055017928[/C][C]8900[/C][/ROW]
[ROW][C]21[/C][C]17718.75[/C][C]4449.23689149799[/C][C]10413[/C][/ROW]
[ROW][C]22[/C][C]16797[/C][C]1461.26087107448[/C][C]3300[/C][/ROW]
[ROW][C]23[/C][C]18489.5[/C][C]2887.27524377800[/C][C]6372[/C][/ROW]
[ROW][C]24[/C][C]19685[/C][C]3820.50040352482[/C][C]9044[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41117&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41117&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	15698.75	870.072171335995	2063
2	14353.75	1847.34988113604	3962
3	14771.25	1414.43377952687	2929
4	16438.5	322.637567558398	701
5	14815.5	2148.81773695832	4715
6	15879.5	1887.55794613040	4281
7	16935.25	405.680806381898	926
8	15298.25	2341.90397967124	4458
9	16286.5	982.54821764634	1918
10	17931.75	1430.22990576107	3256
11	14779.5	3004.9961175793	6178
12	16551	1809.93922549902	4314
13	18021	1729.10246467158	3923
14	17150	3358.77388342830	7128
15	19643.25	1407.49881586688	3328
16	21145.5	836.91437236235	1666
17	17809.75	4106.98919526214	9239
18	19345.5	1798.18158148725	3732
19	18844	3917.74943898492	8711
20	19949.75	4082.0055017928	8900
21	17718.75	4449.23689149799	10413
22	16797	1461.26087107448	3300
23	18489.5	2887.27524377800	6372
24	19685	3820.50040352482	9044

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-557.687011515768
beta	0.158580832520499
S.D.	0.136393188603451
T-STAT	1.16267413456808
p-value	0.257419086231458

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -557.687011515768 \tabularnewline
beta & 0.158580832520499 \tabularnewline
S.D. & 0.136393188603451 \tabularnewline
T-STAT & 1.16267413456808 \tabularnewline
p-value & 0.257419086231458 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41117&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-557.687011515768[/C][/ROW]
[ROW][C]beta[/C][C]0.158580832520499[/C][/ROW]
[ROW][C]S.D.[/C][C]0.136393188603451[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.16267413456808[/C][/ROW]
[ROW][C]p-value[/C][C]0.257419086231458[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41117&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41117&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	-557.687011515768
beta	0.158580832520499
S.D.	0.136393188603451
T-STAT	1.16267413456808
p-value	0.257419086231458

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-2.51082064394452
beta	1.02593082922174
S.D.	1.35326440780751
T-STAT	0.758115578376807
p-value	0.456426759425554
Lambda	-0.0259308292217371

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -2.51082064394452 \tabularnewline
beta & 1.02593082922174 \tabularnewline
S.D. & 1.35326440780751 \tabularnewline
T-STAT & 0.758115578376807 \tabularnewline
p-value & 0.456426759425554 \tabularnewline
Lambda & -0.0259308292217371 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41117&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-2.51082064394452[/C][/ROW]
[ROW][C]beta[/C][C]1.02593082922174[/C][/ROW]
[ROW][C]S.D.[/C][C]1.35326440780751[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.758115578376807[/C][/ROW]
[ROW][C]p-value[/C][C]0.456426759425554[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.0259308292217371[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41117&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41117&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	-2.51082064394452
beta	1.02593082922174
S.D.	1.35326440780751
T-STAT	0.758115578376807
p-value	0.456426759425554
Lambda	-0.0259308292217371

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = Default ; par2 = 1 ; par3 = 0 ; par4 = 0 ; par5 = 12 ;

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