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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

Mon, 05 Dec 2011 13:18:50 -0500

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/2011/Dec/05/t1323109143r87z1x5qy6rt02g.htm/, Retrieved Fri, 03 May 2024 13:50:19 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=151139, Retrieved Fri, 03 May 2024 13:50:19 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

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Estimated Impact

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

-       [Standard Deviation-Mean Plot] [] [2011-12-05 18:18:50] [dd95ab0482db7b5d3a105e6c470f05bf] [Current]

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Dataseries X:

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Histogram

Boxplots

-6
-3
-2
-5
-11
-11
-11
-10
-14
-8
-9
-5
-1
-2
-5
-4
-6
-2
-2
-2
-2
2
1
-8
-1
1
-1
2
2
1
-1
-2
-2
-1
-8
-4
-6
-3
-3
-7
-9
-11
-13
-11
-9
-17
-22
-25
-20
-24
-24
-22
-19
-18
-17
-11
-11
-12
-10
-15
-15
-15
-13
-8
-13
-9
-7
-4
-4
-2
0
-2

", sep = "") : subscript out of bounds Calls: table.element -> paste Execution halted

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' @ jenkins.wessa.net
R Engine error message	Error in paste(mytable, x, "

\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' @ jenkins.wessa.net \tabularnewline
R Engine error message & Error in paste(mytable, x, "", sep = "") : subscript out of bounds
Calls: table.element -> paste
Execution halted
 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=151139&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' @ jenkins.wessa.net[/C][/ROW]
[ROW][C]R Engine error message[/C][C]Error in paste(mytable, x, "[/C]", sep = "") : subscript out of bounds
Calls: table.element -> paste
Execution halted
[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=151139&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=151139&T=0

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

", sep = "") : subscript out of bounds Calls: table.element -> paste Execution halted

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' @ jenkins.wessa.net
R Engine error message	Error in paste(mytable, x, "

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	-6.33333333333333	3.8815804341359	9
2	-9.5	3.01662062579967	9
3	-3.33333333333333	1.96638416050035	5
4	-1.83333333333333	3.48807492274273	10
5	0.666666666666667	1.36626010212795	3
6	-3	2.68328157299975	7
7	-6.5	3.20936130717624	8
8	-16.1666666666667	6.33771778061051	16
9	-21.1666666666667	2.56255081250434	6
10	-12.6666666666667	2.73252020425589	7
11	-12.1666666666667	2.99443929086343	7
12	-3.16666666666667	2.40138848724372	7

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & -6.33333333333333 & 3.8815804341359 & 9 \tabularnewline
2 & -9.5 & 3.01662062579967 & 9 \tabularnewline
3 & -3.33333333333333 & 1.96638416050035 & 5 \tabularnewline
4 & -1.83333333333333 & 3.48807492274273 & 10 \tabularnewline
5 & 0.666666666666667 & 1.36626010212795 & 3 \tabularnewline
6 & -3 & 2.68328157299975 & 7 \tabularnewline
7 & -6.5 & 3.20936130717624 & 8 \tabularnewline
8 & -16.1666666666667 & 6.33771778061051 & 16 \tabularnewline
9 & -21.1666666666667 & 2.56255081250434 & 6 \tabularnewline
10 & -12.6666666666667 & 2.73252020425589 & 7 \tabularnewline
11 & -12.1666666666667 & 2.99443929086343 & 7 \tabularnewline
12 & -3.16666666666667 & 2.40138848724372 & 7 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=151139&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]-6.33333333333333[/C][C]3.8815804341359[/C][C]9[/C][/ROW]
[ROW][C]2[/C][C]-9.5[/C][C]3.01662062579967[/C][C]9[/C][/ROW]
[ROW][C]3[/C][C]-3.33333333333333[/C][C]1.96638416050035[/C][C]5[/C][/ROW]
[ROW][C]4[/C][C]-1.83333333333333[/C][C]3.48807492274273[/C][C]10[/C][/ROW]
[ROW][C]5[/C][C]0.666666666666667[/C][C]1.36626010212795[/C][C]3[/C][/ROW]
[ROW][C]6[/C][C]-3[/C][C]2.68328157299975[/C][C]7[/C][/ROW]
[ROW][C]7[/C][C]-6.5[/C][C]3.20936130717624[/C][C]8[/C][/ROW]
[ROW][C]8[/C][C]-16.1666666666667[/C][C]6.33771778061051[/C][C]16[/C][/ROW]
[ROW][C]9[/C][C]-21.1666666666667[/C][C]2.56255081250434[/C][C]6[/C][/ROW]
[ROW][C]10[/C][C]-12.6666666666667[/C][C]2.73252020425589[/C][C]7[/C][/ROW]
[ROW][C]11[/C][C]-12.1666666666667[/C][C]2.99443929086343[/C][C]7[/C][/ROW]
[ROW][C]12[/C][C]-3.16666666666667[/C][C]2.40138848724372[/C][C]7[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=151139&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=151139&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	-6.33333333333333	3.8815804341359	9
2	-9.5	3.01662062579967	9
3	-3.33333333333333	1.96638416050035	5
4	-1.83333333333333	3.48807492274273	10
5	0.666666666666667	1.36626010212795	3
6	-3	2.68328157299975	7
7	-6.5	3.20936130717624	8
8	-16.1666666666667	6.33771778061051	16
9	-21.1666666666667	2.56255081250434	6
10	-12.6666666666667	2.73252020425589	7
11	-12.1666666666667	2.99443929086343	7
12	-3.16666666666667	2.40138848724372	7

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	2.39548068453304
beta	-0.0829535357607421
S.D.	0.0533982637733647
T-STAT	-1.5534875087478
p-value	0.151356895802719

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 2.39548068453304 \tabularnewline
beta & -0.0829535357607421 \tabularnewline
S.D. & 0.0533982637733647 \tabularnewline
T-STAT & -1.5534875087478 \tabularnewline
p-value & 0.151356895802719 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=151139&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]2.39548068453304[/C][/ROW]
[ROW][C]beta[/C][C]-0.0829535357607421[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0533982637733647[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.5534875087478[/C][/ROW]
[ROW][C]p-value[/C][C]0.151356895802719[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=151139&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=151139&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	2.39548068453304
beta	-0.0829535357607421
S.D.	0.0533982637733647
T-STAT	-1.5534875087478
p-value	0.151356895802719

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 6 ;

Parameters (R input):

par1 = 6 ;

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