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of Irreproducible Research!

Author's title

Author

*Unverified author*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Tue, 28 Dec 2010 08:29:41 +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/28/t1293525131gab0tujk8f9cdp0.htm/, Retrieved Fri, 03 May 2024 06:11:22 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=116219, Retrieved Fri, 03 May 2024 06:11:22 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

135

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

-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Standard Deviation-Mean Plot] [] [2009-11-27 14:40:44] [b98453cac15ba1066b407e146608df68]
-    D    [Standard Deviation-Mean Plot] [] [2009-12-03 09:35:58] [4b0ddbda2a8eb8bbc60159112cb39d44]
-    D      [Standard Deviation-Mean Plot] [] [2009-12-03 10:18:02] [4b0ddbda2a8eb8bbc60159112cb39d44]
-    D          [Standard Deviation-Mean Plot] [Standard Deviatio...] [2010-12-28 08:29:41] [d41d8cd98f00b204e9800998ecf8427e] [Current]

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Dataseries X:

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Histogram

Boxplots

-697.3
-143.8
-137.4
-26.9
559.2
630.2
1070.9
-820.8
993.3
741.7
603.6
-145.8
-35.1
395.1
523.1
462.3
183.4
791.5
344.8
-217
406.7
228.6
-580.1
-1550.4
-1447.5
-40.1
-1033.5
-925.6
-347.8
-447.7
-102.6
-2062.2
-929.7
-720.7
-1541.8
-1432.3
-1216.2
-212.8
-378.2
76.9
-101.3
220.4
495.6
-1035.2
61.8
-734.8
-6.9
-1061.1
-854.6
-186.5
244
-992.6
-335.2
316.8
477.6
-572.1

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=116219&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=116219&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116219&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	218.908333333333	632.757910705671	1891.7
2	79.4083333333333	629.070424527454	2341.9
3	-919.291666666667	623.59169983737	2022.1
4	-324.316666666667	560.602506778252	1711.8

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 218.908333333333 & 632.757910705671 & 1891.7 \tabularnewline
2 & 79.4083333333333 & 629.070424527454 & 2341.9 \tabularnewline
3 & -919.291666666667 & 623.59169983737 & 2022.1 \tabularnewline
4 & -324.316666666667 & 560.602506778252 & 1711.8 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116219&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]218.908333333333[/C][C]632.757910705671[/C][C]1891.7[/C][/ROW]
[ROW][C]2[/C][C]79.4083333333333[/C][C]629.070424527454[/C][C]2341.9[/C][/ROW]
[ROW][C]3[/C][C]-919.291666666667[/C][C]623.59169983737[/C][C]2022.1[/C][/ROW]
[ROW][C]4[/C][C]-324.316666666667[/C][C]560.602506778252[/C][C]1711.8[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116219&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116219&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	218.908333333333	632.757910705671	1891.7
2	79.4083333333333	629.070424527454	2341.9
3	-919.291666666667	623.59169983737	2022.1
4	-324.316666666667	560.602506778252	1711.8

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	614.968350245533
beta	0.0146524714242196
S.D.	0.0461668263075751
T-STAT	0.317380955030374
p-value	0.781024425433527

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 614.968350245533 \tabularnewline
beta & 0.0146524714242196 \tabularnewline
S.D. & 0.0461668263075751 \tabularnewline
T-STAT & 0.317380955030374 \tabularnewline
p-value & 0.781024425433527 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116219&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]614.968350245533[/C][/ROW]
[ROW][C]beta[/C][C]0.0146524714242196[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0461668263075751[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.317380955030374[/C][/ROW]
[ROW][C]p-value[/C][C]0.781024425433527[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116219&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116219&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	614.968350245533
beta	0.0146524714242196
S.D.	0.0461668263075751
T-STAT	0.317380955030374
p-value	0.781024425433527

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	6.4190292699039
beta	0.00576370961830004
S.D.	NaN
T-STAT	NaN
p-value	NaN
Lambda	0.9942362903817

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 6.4190292699039 \tabularnewline
beta & 0.00576370961830004 \tabularnewline
S.D. & NaN \tabularnewline
T-STAT & NaN \tabularnewline
p-value & NaN \tabularnewline
Lambda & 0.9942362903817 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116219&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]6.4190292699039[/C][/ROW]
[ROW][C]beta[/C][C]0.00576370961830004[/C][/ROW]
[ROW][C]S.D.[/C][C]NaN[/C][/ROW]
[ROW][C]T-STAT[/C][C]NaN[/C][/ROW]
[ROW][C]p-value[/C][C]NaN[/C][/ROW]
[ROW][C]Lambda[/C][C]0.9942362903817[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116219&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116219&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	6.4190292699039
beta	0.00576370961830004
S.D.	NaN
T-STAT	NaN
p-value	NaN
Lambda	0.9942362903817

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