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Author's title

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

Wed, 17 Dec 2008 12:46:13 -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/17/t1229543244ekgdhoe48v5lbbv.htm/, Retrieved Sun, 19 May 2024 05:37:45 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=34523, Retrieved Sun, 19 May 2024 05:37:45 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

155

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

-     [Standard Deviation-Mean Plot] [SDM Plot: Bel 20] [2008-12-17 19:32:55] [6816386b1f3c2f6c0c9f2aa1e5bc9362]
-    D  [Standard Deviation-Mean Plot] [SDM Plot: Dow Jones] [2008-12-17 19:41:10] [6816386b1f3c2f6c0c9f2aa1e5bc9362]
-    D      [Standard Deviation-Mean Plot] [SDM Plot: Goudprijs] [2008-12-17 19:46:13] [14a75ec03b2c0d8ddd8b141a7b1594fd] [Current]
-    D        [Standard Deviation-Mean Plot] [SDM Plot: Prijs r...] [2008-12-17 19:49:33] [6816386b1f3c2f6c0c9f2aa1e5bc9362] 

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Boxplots

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	'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 & 2 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=34523&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=34523&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=34523&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	'George Udny Yule' @ 72.249.76.132

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	9728.16666666667	391.010772540124	1074
2	10420.3333333333	419.318350168316	1037
3	10253.5	355.280043192563	1091
4	10557.3333333333	196.798158404786	576
5	10823.25	361.757861006503	1044
6	14655.6666666667	1546.21974995520	5100
7	15666.4166666667	403.947894554671	1394
8	18436.1666666667	1141.55235879866	3710

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 9728.16666666667 & 391.010772540124 & 1074 \tabularnewline
2 & 10420.3333333333 & 419.318350168316 & 1037 \tabularnewline
3 & 10253.5 & 355.280043192563 & 1091 \tabularnewline
4 & 10557.3333333333 & 196.798158404786 & 576 \tabularnewline
5 & 10823.25 & 361.757861006503 & 1044 \tabularnewline
6 & 14655.6666666667 & 1546.21974995520 & 5100 \tabularnewline
7 & 15666.4166666667 & 403.947894554671 & 1394 \tabularnewline
8 & 18436.1666666667 & 1141.55235879866 & 3710 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=34523&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]9728.16666666667[/C][C]391.010772540124[/C][C]1074[/C][/ROW]
[ROW][C]2[/C][C]10420.3333333333[/C][C]419.318350168316[/C][C]1037[/C][/ROW]
[ROW][C]3[/C][C]10253.5[/C][C]355.280043192563[/C][C]1091[/C][/ROW]
[ROW][C]4[/C][C]10557.3333333333[/C][C]196.798158404786[/C][C]576[/C][/ROW]
[ROW][C]5[/C][C]10823.25[/C][C]361.757861006503[/C][C]1044[/C][/ROW]
[ROW][C]6[/C][C]14655.6666666667[/C][C]1546.21974995520[/C][C]5100[/C][/ROW]
[ROW][C]7[/C][C]15666.4166666667[/C][C]403.947894554671[/C][C]1394[/C][/ROW]
[ROW][C]8[/C][C]18436.1666666667[/C][C]1141.55235879866[/C][C]3710[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=34523&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=34523&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	9728.16666666667	391.010772540124	1074
2	10420.3333333333	419.318350168316	1037
3	10253.5	355.280043192563	1091
4	10557.3333333333	196.798158404786	576
5	10823.25	361.757861006503	1044
6	14655.6666666667	1546.21974995520	5100
7	15666.4166666667	403.947894554671	1394
8	18436.1666666667	1141.55235879866	3710

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-649.423575747112
beta	0.0995742074407352
S.D.	0.0439924312859215
T-STAT	2.26343951743810
p-value	0.0642439019833128

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -649.423575747112 \tabularnewline
beta & 0.0995742074407352 \tabularnewline
S.D. & 0.0439924312859215 \tabularnewline
T-STAT & 2.26343951743810 \tabularnewline
p-value & 0.0642439019833128 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=34523&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-649.423575747112[/C][/ROW]
[ROW][C]beta[/C][C]0.0995742074407352[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0439924312859215[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.26343951743810[/C][/ROW]
[ROW][C]p-value[/C][C]0.0642439019833128[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=34523&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=34523&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	-649.423575747112
beta	0.0995742074407352
S.D.	0.0439924312859215
T-STAT	2.26343951743810
p-value	0.0642439019833128

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-12.5400913446994
beta	1.98889615918762
S.D.	0.798044716085657
T-STAT	2.49221142512288
p-value	0.0470212415689317
Lambda	-0.988896159187615

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -12.5400913446994 \tabularnewline
beta & 1.98889615918762 \tabularnewline
S.D. & 0.798044716085657 \tabularnewline
T-STAT & 2.49221142512288 \tabularnewline
p-value & 0.0470212415689317 \tabularnewline
Lambda & -0.988896159187615 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=34523&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-12.5400913446994[/C][/ROW]
[ROW][C]beta[/C][C]1.98889615918762[/C][/ROW]
[ROW][C]S.D.[/C][C]0.798044716085657[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.49221142512288[/C][/ROW]
[ROW][C]p-value[/C][C]0.0470212415689317[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.988896159187615[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=34523&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=34523&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	-12.5400913446994
beta	1.98889615918762
S.D.	0.798044716085657
T-STAT	2.49221142512288
p-value	0.0470212415689317
Lambda	-0.988896159187615

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 12 ;

Parameters (R input):

par1 = 12 ;

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