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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

Mon, 01 Dec 2008 09:25:51 -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/01/t1228148801pkzaerh11i6ob2f.htm/, Retrieved Sun, 05 May 2024 14:07:30 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=26970, Retrieved Sun, 05 May 2024 14:07:30 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

237

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

F     [Univariate Data Series] [Airline data] [2007-10-18 09:58:47] [42daae401fd3def69a25014f2252b4c2]
F    D  [Univariate Data Series] [q5] [2008-11-28 13:33:02] [e43247bc0ab243a5af99ac7f55ba0b41]
- RMP     [Box-Cox Normality Plot] [q5 box cox normality] [2008-11-28 13:40:30] [e43247bc0ab243a5af99ac7f55ba0b41]
F RMPD      [Cross Correlation Function] [q7] [2008-11-28 14:01:57] [e43247bc0ab243a5af99ac7f55ba0b41]
- RMPD        [Standard Deviation-Mean Plot] [q7 sd mean] [2008-12-01 11:18:30] [e43247bc0ab243a5af99ac7f55ba0b41]
F    D            [Standard Deviation-Mean Plot] [werkloosheid mann...] [2008-12-01 16:25:51] [f24298b2e4c2a19d76cf4460ec5d2246] [Current]
-    D              [Standard Deviation-Mean Plot] [sd mean vrouwen] [2008-12-11 14:51:13] [e43247bc0ab243a5af99ac7f55ba0b41] 
-    D                [Standard Deviation-Mean Plot] [sd mean onder de 25j] [2008-12-11 15:16:09] [e43247bc0ab243a5af99ac7f55ba0b41] 
-    D                [Standard Deviation-Mean Plot] [sd mean boven 25j] [2008-12-11 15:33:47] [e43247bc0ab243a5af99ac7f55ba0b41] 

Feedback Forum

2008-12-07 15:15:42 [Chi-Kwong Man] [reply] 
Correct, maar moest men het niet doen voor beide tijdreeksen die men had gekozen voor Q7?
2008-12-08 17:28:05 [Lindsay Heyndrickx] [reply] 
Dit werd correct berekend.

Post a new message

Dataseries X:

Download CSV

Histogram

Boxplots

7.8
7.6
7.5
7.6
7.5
7.3
7.6
7.5
7.6
7.9
7.9
8.1
8.2
8.0
7.5
6.8
6.5
6.6
7.6
8.0
8.0
7.7
7.5
7.6
7.7
7.9
7.8
7.5
7.5
7.1
7.5
7.5
7.6
7.7
7.7
7.9
8.1
8.2
8.2
8.1
7.9
7.3
6.9
6.6
6.7
6.9
7.0
7.1
7.2
7.1
6.9
7.0
6.8
6.4
6.7
6.7
6.4
6.3
6.2
6.5
6.8
6.8
6.5
6.3
5.9
5.9
6.4
6.4

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=26970&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=26970&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=26970&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	7.65833333333333	0.223437334445796	0.8
2	7.5	0.572077553547355	1.7
3	7.61666666666667	0.220879783565357	0.8
4	7.41666666666667	0.632215920154633	1.6
5	6.68333333333333	0.327062221862594	1

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 7.65833333333333 & 0.223437334445796 & 0.8 \tabularnewline
2 & 7.5 & 0.572077553547355 & 1.7 \tabularnewline
3 & 7.61666666666667 & 0.220879783565357 & 0.8 \tabularnewline
4 & 7.41666666666667 & 0.632215920154633 & 1.6 \tabularnewline
5 & 6.68333333333333 & 0.327062221862594 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=26970&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]7.65833333333333[/C][C]0.223437334445796[/C][C]0.8[/C][/ROW]
[ROW][C]2[/C][C]7.5[/C][C]0.572077553547355[/C][C]1.7[/C][/ROW]
[ROW][C]3[/C][C]7.61666666666667[/C][C]0.220879783565357[/C][C]0.8[/C][/ROW]
[ROW][C]4[/C][C]7.41666666666667[/C][C]0.632215920154633[/C][C]1.6[/C][/ROW]
[ROW][C]5[/C][C]6.68333333333333[/C][C]0.327062221862594[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=26970&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=26970&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	7.65833333333333	0.223437334445796	0.8
2	7.5	0.572077553547355	1.7
3	7.61666666666667	0.220879783565357	0.8
4	7.41666666666667	0.632215920154633	1.6
5	6.68333333333333	0.327062221862594	1

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	0.530900926354879
beta	-0.0184089984596246
S.D.	0.282390248882080
T-STAT	-0.0651899225716956
p-value	0.952123747937673

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.530900926354879 \tabularnewline
beta & -0.0184089984596246 \tabularnewline
S.D. & 0.282390248882080 \tabularnewline
T-STAT & -0.0651899225716956 \tabularnewline
p-value & 0.952123747937673 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=26970&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.530900926354879[/C][/ROW]
[ROW][C]beta[/C][C]-0.0184089984596246[/C][/ROW]
[ROW][C]S.D.[/C][C]0.282390248882080[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.0651899225716956[/C][/ROW]
[ROW][C]p-value[/C][C]0.952123747937673[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=26970&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=26970&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	0.530900926354879
beta	-0.0184089984596246
S.D.	0.282390248882080
T-STAT	-0.0651899225716956
p-value	0.952123747937673

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	1.11268599061125
beta	-1.07235479521162
S.D.	5.15135567932006
T-STAT	-0.208169433828176
p-value	0.848428298185356
Lambda	2.07235479521162

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 1.11268599061125 \tabularnewline
beta & -1.07235479521162 \tabularnewline
S.D. & 5.15135567932006 \tabularnewline
T-STAT & -0.208169433828176 \tabularnewline
p-value & 0.848428298185356 \tabularnewline
Lambda & 2.07235479521162 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=26970&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]1.11268599061125[/C][/ROW]
[ROW][C]beta[/C][C]-1.07235479521162[/C][/ROW]
[ROW][C]S.D.[/C][C]5.15135567932006[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.208169433828176[/C][/ROW]
[ROW][C]p-value[/C][C]0.848428298185356[/C][/ROW]
[ROW][C]Lambda[/C][C]2.07235479521162[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=26970&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=26970&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	1.11268599061125
beta	-1.07235479521162
S.D.	5.15135567932006
T-STAT	-0.208169433828176
p-value	0.848428298185356
Lambda	2.07235479521162

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