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Author

*Unverified author*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Tue, 07 Dec 2010 10:57:25 +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/07/t12917193451grfqmrx4f8r9ml.htm/, Retrieved Fri, 03 May 2024 16:26:14 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=106184, Retrieved Fri, 03 May 2024 16:26:14 +0000

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

-       [Standard Deviation-Mean Plot] [deviation mean pl...] [2010-12-07 10:57:25] [2a9374b6a827503db60f94b3ae42bf2a] [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	'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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=106184&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=106184&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=106184&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	'Gwilym Jenkins' @ 72.249.127.135

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	3871.5	773.993324691284	1849
2	11923	3198.06785418946	7448
3	6073	4506.84767881055	10412
4	3932	787.027741993042	1915
5	12180	2912.08974220690	6700
6	5945.75	4169.70889271661	9650
7	3643	472.270402770842	1015
8	11621.25	2163.80981527182	5265
9	5436	3076.70343062181	7174
10	4422.75	1024.84319938873	2435
11	14110	3238.91957294404	7830
12	7200	3591.90757119389	7560
13	5424.75	375.772426698217	756
14	16192.75	3237.53150563821	7811
15	8752.5	4201.12893557593	8903
16	5536.75	442.284504966355	1055
17	16454.75	2283.50832054538	5160
18	8875.25	4073.75088217235	9734

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 3871.5 & 773.993324691284 & 1849 \tabularnewline
2 & 11923 & 3198.06785418946 & 7448 \tabularnewline
3 & 6073 & 4506.84767881055 & 10412 \tabularnewline
4 & 3932 & 787.027741993042 & 1915 \tabularnewline
5 & 12180 & 2912.08974220690 & 6700 \tabularnewline
6 & 5945.75 & 4169.70889271661 & 9650 \tabularnewline
7 & 3643 & 472.270402770842 & 1015 \tabularnewline
8 & 11621.25 & 2163.80981527182 & 5265 \tabularnewline
9 & 5436 & 3076.70343062181 & 7174 \tabularnewline
10 & 4422.75 & 1024.84319938873 & 2435 \tabularnewline
11 & 14110 & 3238.91957294404 & 7830 \tabularnewline
12 & 7200 & 3591.90757119389 & 7560 \tabularnewline
13 & 5424.75 & 375.772426698217 & 756 \tabularnewline
14 & 16192.75 & 3237.53150563821 & 7811 \tabularnewline
15 & 8752.5 & 4201.12893557593 & 8903 \tabularnewline
16 & 5536.75 & 442.284504966355 & 1055 \tabularnewline
17 & 16454.75 & 2283.50832054538 & 5160 \tabularnewline
18 & 8875.25 & 4073.75088217235 & 9734 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=106184&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]3871.5[/C][C]773.993324691284[/C][C]1849[/C][/ROW]
[ROW][C]2[/C][C]11923[/C][C]3198.06785418946[/C][C]7448[/C][/ROW]
[ROW][C]3[/C][C]6073[/C][C]4506.84767881055[/C][C]10412[/C][/ROW]
[ROW][C]4[/C][C]3932[/C][C]787.027741993042[/C][C]1915[/C][/ROW]
[ROW][C]5[/C][C]12180[/C][C]2912.08974220690[/C][C]6700[/C][/ROW]
[ROW][C]6[/C][C]5945.75[/C][C]4169.70889271661[/C][C]9650[/C][/ROW]
[ROW][C]7[/C][C]3643[/C][C]472.270402770842[/C][C]1015[/C][/ROW]
[ROW][C]8[/C][C]11621.25[/C][C]2163.80981527182[/C][C]5265[/C][/ROW]
[ROW][C]9[/C][C]5436[/C][C]3076.70343062181[/C][C]7174[/C][/ROW]
[ROW][C]10[/C][C]4422.75[/C][C]1024.84319938873[/C][C]2435[/C][/ROW]
[ROW][C]11[/C][C]14110[/C][C]3238.91957294404[/C][C]7830[/C][/ROW]
[ROW][C]12[/C][C]7200[/C][C]3591.90757119389[/C][C]7560[/C][/ROW]
[ROW][C]13[/C][C]5424.75[/C][C]375.772426698217[/C][C]756[/C][/ROW]
[ROW][C]14[/C][C]16192.75[/C][C]3237.53150563821[/C][C]7811[/C][/ROW]
[ROW][C]15[/C][C]8752.5[/C][C]4201.12893557593[/C][C]8903[/C][/ROW]
[ROW][C]16[/C][C]5536.75[/C][C]442.284504966355[/C][C]1055[/C][/ROW]
[ROW][C]17[/C][C]16454.75[/C][C]2283.50832054538[/C][C]5160[/C][/ROW]
[ROW][C]18[/C][C]8875.25[/C][C]4073.75088217235[/C][C]9734[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=106184&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=106184&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	3871.5	773.993324691284	1849
2	11923	3198.06785418946	7448
3	6073	4506.84767881055	10412
4	3932	787.027741993042	1915
5	12180	2912.08974220690	6700
6	5945.75	4169.70889271661	9650
7	3643	472.270402770842	1015
8	11621.25	2163.80981527182	5265
9	5436	3076.70343062181	7174
10	4422.75	1024.84319938873	2435
11	14110	3238.91957294404	7830
12	7200	3591.90757119389	7560
13	5424.75	375.772426698217	756
14	16192.75	3237.53150563821	7811
15	8752.5	4201.12893557593	8903
16	5536.75	442.284504966355	1055
17	16454.75	2283.50832054538	5160
18	8875.25	4073.75088217235	9734

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	1293.06283504743
beta	0.140209339170432
S.D.	0.077873174613507
T-STAT	1.80048315567339
p-value	0.0906641020896346

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 1293.06283504743 \tabularnewline
beta & 0.140209339170432 \tabularnewline
S.D. & 0.077873174613507 \tabularnewline
T-STAT & 1.80048315567339 \tabularnewline
p-value & 0.0906641020896346 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=106184&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]1293.06283504743[/C][/ROW]
[ROW][C]beta[/C][C]0.140209339170432[/C][/ROW]
[ROW][C]S.D.[/C][C]0.077873174613507[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.80048315567339[/C][/ROW]
[ROW][C]p-value[/C][C]0.0906641020896346[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=106184&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=106184&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	1293.06283504743
beta	0.140209339170432
S.D.	0.077873174613507
T-STAT	1.80048315567339
p-value	0.0906641020896346

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-1.79828090792361
beta	1.0469363567685
S.D.	0.342087754341529
T-STAT	3.06043213614502
p-value	0.00747392721757634
Lambda	-0.0469363567684991

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -1.79828090792361 \tabularnewline
beta & 1.0469363567685 \tabularnewline
S.D. & 0.342087754341529 \tabularnewline
T-STAT & 3.06043213614502 \tabularnewline
p-value & 0.00747392721757634 \tabularnewline
Lambda & -0.0469363567684991 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=106184&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-1.79828090792361[/C][/ROW]
[ROW][C]beta[/C][C]1.0469363567685[/C][/ROW]
[ROW][C]S.D.[/C][C]0.342087754341529[/C][/ROW]
[ROW][C]T-STAT[/C][C]3.06043213614502[/C][/ROW]
[ROW][C]p-value[/C][C]0.00747392721757634[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.0469363567684991[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=106184&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=106184&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	-1.79828090792361
beta	1.0469363567685
S.D.	0.342087754341529
T-STAT	3.06043213614502
p-value	0.00747392721757634
Lambda	-0.0469363567684991

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

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Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code