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, 16 Aug 2010 15:07:09 +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/Aug/16/t1281971226bhtj3hrs48yslhp.htm/, Retrieved Thu, 16 May 2024 04:59:55 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=79016, Retrieved Thu, 16 May 2024 04:59:55 +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

Jeroen_Kinne

Estimated Impact

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

-       [Standard Deviation-Mean Plot] [standard_Deviatio...] [2010-08-16 15:07:09] [6fe3b5976049c9b6736c06f51fce3033] [Current]

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	'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=79016&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=79016&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=79016&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	'Gwilym Jenkins' @ 72.249.127.135

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	428.25	1.70782512765993	4
2	424.25	1.25830573921179	3
3	428	1.41421356237310	3
4	426	10.6770782520313	24
5	402.25	2.5	6
6	384.5	6.13731754650732	13
7	373	14.8996644257513	30
8	339.25	2.5	5
9	317	2.16024689946929	5
10	311	9.38083151964686	18
11	291.5	6.2449979983984	15
12	274.25	4.11298755975102	9
13	265.5	12.7671453348037	24
14	248.25	8.9953691790091	21
15	216.5	9.67815409397198	23
16	206.25	13.6473440639562	26
17	182.25	8.65544144839919	19
18	142.25	8.9953691790091	17
19	139.25	11.6726175299288	27
20	124.5	10.8781125813871	24
21	93.5	11.6189500386223	22

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 428.25 & 1.70782512765993 & 4 \tabularnewline
2 & 424.25 & 1.25830573921179 & 3 \tabularnewline
3 & 428 & 1.41421356237310 & 3 \tabularnewline
4 & 426 & 10.6770782520313 & 24 \tabularnewline
5 & 402.25 & 2.5 & 6 \tabularnewline
6 & 384.5 & 6.13731754650732 & 13 \tabularnewline
7 & 373 & 14.8996644257513 & 30 \tabularnewline
8 & 339.25 & 2.5 & 5 \tabularnewline
9 & 317 & 2.16024689946929 & 5 \tabularnewline
10 & 311 & 9.38083151964686 & 18 \tabularnewline
11 & 291.5 & 6.2449979983984 & 15 \tabularnewline
12 & 274.25 & 4.11298755975102 & 9 \tabularnewline
13 & 265.5 & 12.7671453348037 & 24 \tabularnewline
14 & 248.25 & 8.9953691790091 & 21 \tabularnewline
15 & 216.5 & 9.67815409397198 & 23 \tabularnewline
16 & 206.25 & 13.6473440639562 & 26 \tabularnewline
17 & 182.25 & 8.65544144839919 & 19 \tabularnewline
18 & 142.25 & 8.9953691790091 & 17 \tabularnewline
19 & 139.25 & 11.6726175299288 & 27 \tabularnewline
20 & 124.5 & 10.8781125813871 & 24 \tabularnewline
21 & 93.5 & 11.6189500386223 & 22 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=79016&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]428.25[/C][C]1.70782512765993[/C][C]4[/C][/ROW]
[ROW][C]2[/C][C]424.25[/C][C]1.25830573921179[/C][C]3[/C][/ROW]
[ROW][C]3[/C][C]428[/C][C]1.41421356237310[/C][C]3[/C][/ROW]
[ROW][C]4[/C][C]426[/C][C]10.6770782520313[/C][C]24[/C][/ROW]
[ROW][C]5[/C][C]402.25[/C][C]2.5[/C][C]6[/C][/ROW]
[ROW][C]6[/C][C]384.5[/C][C]6.13731754650732[/C][C]13[/C][/ROW]
[ROW][C]7[/C][C]373[/C][C]14.8996644257513[/C][C]30[/C][/ROW]
[ROW][C]8[/C][C]339.25[/C][C]2.5[/C][C]5[/C][/ROW]
[ROW][C]9[/C][C]317[/C][C]2.16024689946929[/C][C]5[/C][/ROW]
[ROW][C]10[/C][C]311[/C][C]9.38083151964686[/C][C]18[/C][/ROW]
[ROW][C]11[/C][C]291.5[/C][C]6.2449979983984[/C][C]15[/C][/ROW]
[ROW][C]12[/C][C]274.25[/C][C]4.11298755975102[/C][C]9[/C][/ROW]
[ROW][C]13[/C][C]265.5[/C][C]12.7671453348037[/C][C]24[/C][/ROW]
[ROW][C]14[/C][C]248.25[/C][C]8.9953691790091[/C][C]21[/C][/ROW]
[ROW][C]15[/C][C]216.5[/C][C]9.67815409397198[/C][C]23[/C][/ROW]
[ROW][C]16[/C][C]206.25[/C][C]13.6473440639562[/C][C]26[/C][/ROW]
[ROW][C]17[/C][C]182.25[/C][C]8.65544144839919[/C][C]19[/C][/ROW]
[ROW][C]18[/C][C]142.25[/C][C]8.9953691790091[/C][C]17[/C][/ROW]
[ROW][C]19[/C][C]139.25[/C][C]11.6726175299288[/C][C]27[/C][/ROW]
[ROW][C]20[/C][C]124.5[/C][C]10.8781125813871[/C][C]24[/C][/ROW]
[ROW][C]21[/C][C]93.5[/C][C]11.6189500386223[/C][C]22[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=79016&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=79016&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	428.25	1.70782512765993	4
2	424.25	1.25830573921179	3
3	428	1.41421356237310	3
4	426	10.6770782520313	24
5	402.25	2.5	6
6	384.5	6.13731754650732	13
7	373	14.8996644257513	30
8	339.25	2.5	5
9	317	2.16024689946929	5
10	311	9.38083151964686	18
11	291.5	6.2449979983984	15
12	274.25	4.11298755975102	9
13	265.5	12.7671453348037	24
14	248.25	8.9953691790091	21
15	216.5	9.67815409397198	23
16	206.25	13.6473440639562	26
17	182.25	8.65544144839919	19
18	142.25	8.9953691790091	17
19	139.25	11.6726175299288	27
20	124.5	10.8781125813871	24
21	93.5	11.6189500386223	22

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	14.2280102535655
beta	-0.0230803894050665
S.D.	0.00754023759134628
T-STAT	-3.06096314943115
p-value	0.00643034250983087

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 14.2280102535655 \tabularnewline
beta & -0.0230803894050665 \tabularnewline
S.D. & 0.00754023759134628 \tabularnewline
T-STAT & -3.06096314943115 \tabularnewline
p-value & 0.00643034250983087 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=79016&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]14.2280102535655[/C][/ROW]
[ROW][C]beta[/C][C]-0.0230803894050665[/C][/ROW]
[ROW][C]S.D.[/C][C]0.00754023759134628[/C][/ROW]
[ROW][C]T-STAT[/C][C]-3.06096314943115[/C][/ROW]
[ROW][C]p-value[/C][C]0.00643034250983087[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=79016&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=79016&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	14.2280102535655
beta	-0.0230803894050665
S.D.	0.00754023759134628
T-STAT	-3.06096314943115
p-value	0.00643034250983087

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	7.69259514650197
beta	-1.06164023429875
S.D.	0.330575352333940
T-STAT	-3.21149240801931
p-value	0.00459425319459718
Lambda	2.06164023429875

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 7.69259514650197 \tabularnewline
beta & -1.06164023429875 \tabularnewline
S.D. & 0.330575352333940 \tabularnewline
T-STAT & -3.21149240801931 \tabularnewline
p-value & 0.00459425319459718 \tabularnewline
Lambda & 2.06164023429875 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=79016&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]7.69259514650197[/C][/ROW]
[ROW][C]beta[/C][C]-1.06164023429875[/C][/ROW]
[ROW][C]S.D.[/C][C]0.330575352333940[/C][/ROW]
[ROW][C]T-STAT[/C][C]-3.21149240801931[/C][/ROW]
[ROW][C]p-value[/C][C]0.00459425319459718[/C][/ROW]
[ROW][C]Lambda[/C][C]2.06164023429875[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=79016&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=79016&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	7.69259514650197
beta	-1.06164023429875
S.D.	0.330575352333940
T-STAT	-3.21149240801931
p-value	0.00459425319459718
Lambda	2.06164023429875

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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code