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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

Fri, 24 Dec 2010 12:06:15 +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/2010/Dec/24/t1293192245sybtsd8r15bitdn.htm/, Retrieved Tue, 30 Apr 2024 00:28:38 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=114806, Retrieved Tue, 30 Apr 2024 00:28:38 +0000

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No (this computation is public)

User-defined keywords

Estimated Impact

120

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

-       [Standard Deviation-Mean Plot] [Standard deviatio...] [2010-12-24 12:06:15] [b5e30b7400ffb7c52b5936a3d8d7c96c] [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	1 seconds
R Server	'Sir Ronald Aylmer Fisher' @ 193.190.124.24
R Framework error message	Warning: there are blank lines in the 'Data' field. Please, use NA for missing data - blank lines are simply deleted and are NOT treated as missing values.

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
R Framework error message & Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values. \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=114806&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[ROW][C]R Framework error message[/C][C]Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=114806&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114806&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	'Sir Ronald Aylmer Fisher' @ 193.190.124.24
R Framework error message	Warning: there are blank lines in the 'Data' field. Please, use NA for missing data - blank lines are simply deleted and are NOT treated as missing values.

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	4.43383333333333	0.495818667977671	1.951
2	4.53583333333333	0.340360192452144	1.116
3	4.26408333333333	0.423480483253915	1.434
4	4.33983333333333	0.57966696290093	1.774
5	4.26458333333333	0.411406337144221	1.241
6	4.23783333333333	0.346454990736258	0.987

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 4.43383333333333 & 0.495818667977671 & 1.951 \tabularnewline
2 & 4.53583333333333 & 0.340360192452144 & 1.116 \tabularnewline
3 & 4.26408333333333 & 0.423480483253915 & 1.434 \tabularnewline
4 & 4.33983333333333 & 0.57966696290093 & 1.774 \tabularnewline
5 & 4.26458333333333 & 0.411406337144221 & 1.241 \tabularnewline
6 & 4.23783333333333 & 0.346454990736258 & 0.987 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=114806&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]4.43383333333333[/C][C]0.495818667977671[/C][C]1.951[/C][/ROW]
[ROW][C]2[/C][C]4.53583333333333[/C][C]0.340360192452144[/C][C]1.116[/C][/ROW]
[ROW][C]3[/C][C]4.26408333333333[/C][C]0.423480483253915[/C][C]1.434[/C][/ROW]
[ROW][C]4[/C][C]4.33983333333333[/C][C]0.57966696290093[/C][C]1.774[/C][/ROW]
[ROW][C]5[/C][C]4.26458333333333[/C][C]0.411406337144221[/C][C]1.241[/C][/ROW]
[ROW][C]6[/C][C]4.23783333333333[/C][C]0.346454990736258[/C][C]0.987[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=114806&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114806&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	4.43383333333333	0.495818667977671	1.951
2	4.53583333333333	0.340360192452144	1.116
3	4.26408333333333	0.423480483253915	1.434
4	4.33983333333333	0.57966696290093	1.774
5	4.26458333333333	0.411406337144221	1.241
6	4.23783333333333	0.346454990736258	0.987

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	0.500668297964829
beta	-0.0156014017995028
S.D.	0.390904054236208
T-STAT	-0.0399110769776654
p-value	0.970076621570885

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.500668297964829 \tabularnewline
beta & -0.0156014017995028 \tabularnewline
S.D. & 0.390904054236208 \tabularnewline
T-STAT & -0.0399110769776654 \tabularnewline
p-value & 0.970076621570885 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=114806&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.500668297964829[/C][/ROW]
[ROW][C]beta[/C][C]-0.0156014017995028[/C][/ROW]
[ROW][C]S.D.[/C][C]0.390904054236208[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.0399110769776654[/C][/ROW]
[ROW][C]p-value[/C][C]0.970076621570885[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=114806&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114806&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	0.500668297964829
beta	-0.0156014017995028
S.D.	0.390904054236208
T-STAT	-0.0399110769776654
p-value	0.970076621570885

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-0.438096943260814
beta	-0.2840385338538
S.D.	3.84459390473412
T-STAT	-0.0738799833979977
p-value	0.944652930986771
Lambda	1.2840385338538

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -0.438096943260814 \tabularnewline
beta & -0.2840385338538 \tabularnewline
S.D. & 3.84459390473412 \tabularnewline
T-STAT & -0.0738799833979977 \tabularnewline
p-value & 0.944652930986771 \tabularnewline
Lambda & 1.2840385338538 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=114806&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-0.438096943260814[/C][/ROW]
[ROW][C]beta[/C][C]-0.2840385338538[/C][/ROW]
[ROW][C]S.D.[/C][C]3.84459390473412[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.0738799833979977[/C][/ROW]
[ROW][C]p-value[/C][C]0.944652930986771[/C][/ROW]
[ROW][C]Lambda[/C][C]1.2840385338538[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=114806&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114806&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	-0.438096943260814
beta	-0.2840385338538
S.D.	3.84459390473412
T-STAT	-0.0738799833979977
p-value	0.944652930986771
Lambda	1.2840385338538

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