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Author's title

Author

*Unverified author*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Sun, 21 Dec 2008 10:55:54 -0700

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/2008/Dec/21/t12298822051gg7n4fz1xh68m7.htm/, Retrieved Sat, 25 May 2024 22:30:00 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=35715, Retrieved Sat, 25 May 2024 22:30:00 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

148

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

-       [Standard Deviation-Mean Plot] [] [2008-12-21 17:55:54] [a2d5a6282476ec2b5afae6fb53d308f8] [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	'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=35715&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=35715&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35715&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	10576.25	255.857219297534	568
2	9904.25	192.009331370466	450
3	10388.5	376.816931679032	922
4	10559.5	184.276061024395	412
5	10546.5	260.297906253585	576
6	10615.75	156.075569303249	374
7	10591.75	208.450433756645	465
8	10814.25	364.166971777141	797
9	11833.75	562.533776763671	1228
10	14079.5	838.991656692723	1900
11	15780.75	978.614454215755	2178
12	15495	531.415091994949	1096
13	15720	444.099838624905	1043
14	15937.25	187.094227596685	458
15	16186.75	678.89389205285	1438

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 10576.25 & 255.857219297534 & 568 \tabularnewline
2 & 9904.25 & 192.009331370466 & 450 \tabularnewline
3 & 10388.5 & 376.816931679032 & 922 \tabularnewline
4 & 10559.5 & 184.276061024395 & 412 \tabularnewline
5 & 10546.5 & 260.297906253585 & 576 \tabularnewline
6 & 10615.75 & 156.075569303249 & 374 \tabularnewline
7 & 10591.75 & 208.450433756645 & 465 \tabularnewline
8 & 10814.25 & 364.166971777141 & 797 \tabularnewline
9 & 11833.75 & 562.533776763671 & 1228 \tabularnewline
10 & 14079.5 & 838.991656692723 & 1900 \tabularnewline
11 & 15780.75 & 978.614454215755 & 2178 \tabularnewline
12 & 15495 & 531.415091994949 & 1096 \tabularnewline
13 & 15720 & 444.099838624905 & 1043 \tabularnewline
14 & 15937.25 & 187.094227596685 & 458 \tabularnewline
15 & 16186.75 & 678.89389205285 & 1438 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35715&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]10576.25[/C][C]255.857219297534[/C][C]568[/C][/ROW]
[ROW][C]2[/C][C]9904.25[/C][C]192.009331370466[/C][C]450[/C][/ROW]
[ROW][C]3[/C][C]10388.5[/C][C]376.816931679032[/C][C]922[/C][/ROW]
[ROW][C]4[/C][C]10559.5[/C][C]184.276061024395[/C][C]412[/C][/ROW]
[ROW][C]5[/C][C]10546.5[/C][C]260.297906253585[/C][C]576[/C][/ROW]
[ROW][C]6[/C][C]10615.75[/C][C]156.075569303249[/C][C]374[/C][/ROW]
[ROW][C]7[/C][C]10591.75[/C][C]208.450433756645[/C][C]465[/C][/ROW]
[ROW][C]8[/C][C]10814.25[/C][C]364.166971777141[/C][C]797[/C][/ROW]
[ROW][C]9[/C][C]11833.75[/C][C]562.533776763671[/C][C]1228[/C][/ROW]
[ROW][C]10[/C][C]14079.5[/C][C]838.991656692723[/C][C]1900[/C][/ROW]
[ROW][C]11[/C][C]15780.75[/C][C]978.614454215755[/C][C]2178[/C][/ROW]
[ROW][C]12[/C][C]15495[/C][C]531.415091994949[/C][C]1096[/C][/ROW]
[ROW][C]13[/C][C]15720[/C][C]444.099838624905[/C][C]1043[/C][/ROW]
[ROW][C]14[/C][C]15937.25[/C][C]187.094227596685[/C][C]458[/C][/ROW]
[ROW][C]15[/C][C]16186.75[/C][C]678.89389205285[/C][C]1438[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35715&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35715&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	10576.25	255.857219297534	568
2	9904.25	192.009331370466	450
3	10388.5	376.816931679032	922
4	10559.5	184.276061024395	412
5	10546.5	260.297906253585	576
6	10615.75	156.075569303249	374
7	10591.75	208.450433756645	465
8	10814.25	364.166971777141	797
9	11833.75	562.533776763671	1228
10	14079.5	838.991656692723	1900
11	15780.75	978.614454215755	2178
12	15495	531.415091994949	1096
13	15720	444.099838624905	1043
14	15937.25	187.094227596685	458
15	16186.75	678.89389205285	1438

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-381.444119295890
beta	0.0631713005589964
S.D.	0.0217568283260864
T-STAT	2.90351606457518
p-value	0.0123244544896282

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -381.444119295890 \tabularnewline
beta & 0.0631713005589964 \tabularnewline
S.D. & 0.0217568283260864 \tabularnewline
T-STAT & 2.90351606457518 \tabularnewline
p-value & 0.0123244544896282 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35715&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-381.444119295890[/C][/ROW]
[ROW][C]beta[/C][C]0.0631713005589964[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0217568283260864[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.90351606457518[/C][/ROW]
[ROW][C]p-value[/C][C]0.0123244544896282[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35715&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35715&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	-381.444119295890
beta	0.0631713005589964
S.D.	0.0217568283260864
T-STAT	2.90351606457518
p-value	0.0123244544896282

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-12.0128941722855
beta	1.89651578095061
S.D.	0.65624692615113
T-STAT	2.88994234544247
p-value	0.0126497566520273
Lambda	-0.896515780950607

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -12.0128941722855 \tabularnewline
beta & 1.89651578095061 \tabularnewline
S.D. & 0.65624692615113 \tabularnewline
T-STAT & 2.88994234544247 \tabularnewline
p-value & 0.0126497566520273 \tabularnewline
Lambda & -0.896515780950607 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35715&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-12.0128941722855[/C][/ROW]
[ROW][C]beta[/C][C]1.89651578095061[/C][/ROW]
[ROW][C]S.D.[/C][C]0.65624692615113[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.88994234544247[/C][/ROW]
[ROW][C]p-value[/C][C]0.0126497566520273[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.896515780950607[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35715&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35715&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	-12.0128941722855
beta	1.89651578095061
S.D.	0.65624692615113
T-STAT	2.88994234544247
p-value	0.0126497566520273
Lambda	-0.896515780950607

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