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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

Thu, 05 May 2011 11:48:39 +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/2011/May/05/t13045958990zstm0dq4kurtc8.htm/, Retrieved Thu, 09 May 2024 23:42:23 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=121134, Retrieved Thu, 09 May 2024 23:42:23 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

KDGP2W83

Estimated Impact

129

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

-       [Standard Deviation-Mean Plot] [Opdracht 8 Axel v...] [2011-05-05 11:48:39] [99f56e8d3669c8e32d9c5b2d6e7ae714] [Current]

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Dataseries X:

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Histogram

Boxplots

8
8
8.2
8.5
8.7
8.7
8
8
8.3
8.5
8.7
8.6
8.3
7.9
7.9
8.1
8.3
8.1
7.4
7.3
7.7
8
8
7.7
6.9
6.6
6.9
7.5
7.9
7.7
6.5
6.1
6.4
6.8
7.1
7.3
7.2
7
7
7
7.3
7.5
7.2
7.7
8
7.9
8
8
7.9
7.9
8
8.1
8.1
8.2
8
8.3
8.5
8.6
8.7
8.7
8.5
8.4
8.5
8.7
8.7
8.6
7.9
8.1
8.2
8.5
8.6
8.5

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' @ www.wessa.org

\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' @ www.wessa.org \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121134&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' @ www.wessa.org[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121134&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121134&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' @ www.wessa.org

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	8.35	0.3	0.7
2	7.89166666666667	0.317542648054294	1
3	6.975	0.546268332332281	1.8
4	7.48333333333333	0.417423554968361	1
5	8.25	0.303015151136344	0.799999999999999
6	8.43333333333333	0.246182981958665	0.799999999999999

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 8.35 & 0.3 & 0.7 \tabularnewline
2 & 7.89166666666667 & 0.317542648054294 & 1 \tabularnewline
3 & 6.975 & 0.546268332332281 & 1.8 \tabularnewline
4 & 7.48333333333333 & 0.417423554968361 & 1 \tabularnewline
5 & 8.25 & 0.303015151136344 & 0.799999999999999 \tabularnewline
6 & 8.43333333333333 & 0.246182981958665 & 0.799999999999999 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121134&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]8.35[/C][C]0.3[/C][C]0.7[/C][/ROW]
[ROW][C]2[/C][C]7.89166666666667[/C][C]0.317542648054294[/C][C]1[/C][/ROW]
[ROW][C]3[/C][C]6.975[/C][C]0.546268332332281[/C][C]1.8[/C][/ROW]
[ROW][C]4[/C][C]7.48333333333333[/C][C]0.417423554968361[/C][C]1[/C][/ROW]
[ROW][C]5[/C][C]8.25[/C][C]0.303015151136344[/C][C]0.799999999999999[/C][/ROW]
[ROW][C]6[/C][C]8.43333333333333[/C][C]0.246182981958665[/C][C]0.799999999999999[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121134&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121134&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	8.35	0.3	0.7
2	7.89166666666667	0.317542648054294	1
3	6.975	0.546268332332281	1.8
4	7.48333333333333	0.417423554968361	1
5	8.25	0.303015151136344	0.799999999999999
6	8.43333333333333	0.246182981958665	0.799999999999999

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	1.81817833006112
beta	-0.185268462439326
S.D.	0.0221100121173974
T-STAT	-8.3793921710946
p-value	0.00110956144685453

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 1.81817833006112 \tabularnewline
beta & -0.185268462439326 \tabularnewline
S.D. & 0.0221100121173974 \tabularnewline
T-STAT & -8.3793921710946 \tabularnewline
p-value & 0.00110956144685453 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121134&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]1.81817833006112[/C][/ROW]
[ROW][C]beta[/C][C]-0.185268462439326[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0221100121173974[/C][/ROW]
[ROW][C]T-STAT[/C][C]-8.3793921710946[/C][/ROW]
[ROW][C]p-value[/C][C]0.00110956144685453[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121134&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121134&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	1.81817833006112
beta	-0.185268462439326
S.D.	0.0221100121173974
T-STAT	-8.3793921710946
p-value	0.00110956144685453

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	6.62606294765647
beta	-3.72867479009188
S.D.	0.429510498928919
T-STAT	-8.68121920043904
p-value	0.000969069780401029
Lambda	4.72867479009188

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 6.62606294765647 \tabularnewline
beta & -3.72867479009188 \tabularnewline
S.D. & 0.429510498928919 \tabularnewline
T-STAT & -8.68121920043904 \tabularnewline
p-value & 0.000969069780401029 \tabularnewline
Lambda & 4.72867479009188 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121134&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]6.62606294765647[/C][/ROW]
[ROW][C]beta[/C][C]-3.72867479009188[/C][/ROW]
[ROW][C]S.D.[/C][C]0.429510498928919[/C][/ROW]
[ROW][C]T-STAT[/C][C]-8.68121920043904[/C][/ROW]
[ROW][C]p-value[/C][C]0.000969069780401029[/C][/ROW]
[ROW][C]Lambda[/C][C]4.72867479009188[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121134&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121134&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	6.62606294765647
beta	-3.72867479009188
S.D.	0.429510498928919
T-STAT	-8.68121920043904
p-value	0.000969069780401029
Lambda	4.72867479009188

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