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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 11:03:32 +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/t1293188505tbmzwyrxxzneu5x.htm/, Retrieved Tue, 30 Apr 2024 06:39:03 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=114757, Retrieved Tue, 30 Apr 2024 06:39:03 +0000

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No (this computation is public)

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Estimated Impact

102

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

-       [Standard Deviation-Mean Plot] [] [2010-12-24 11:03:32] [3bdb54d050744f47368418ea7c7e8e96] [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	2 seconds
R Server	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=114757&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=114757&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114757&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	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	11306.25	978.905058540594	3641
2	11463.4166666667	1067.15590224530	3725
3	11315.25	1018.37465199119	4022
4	11456.8333333333	919.71436606781	2809
5	11707.25	896.315196690417	2459
6	11710.5833333333	1092.08778021594	4248
7	11698.0833333333	731.927400564407	2396
8	11862.9166666667	940.568731076463	3031
9	11828	865.679134342721	2339
10	11379.4166666667	870.981103889937	3173
11	11366.8333333333	1088.77519453853	3759
12	11281	787.595997034936	2340
13	11085.1666666667	790.946939184962	2579
14	11261.3333333333	821.451413196437	2712
15	11186.25	1147.99818854783	4132

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 11306.25 & 978.905058540594 & 3641 \tabularnewline
2 & 11463.4166666667 & 1067.15590224530 & 3725 \tabularnewline
3 & 11315.25 & 1018.37465199119 & 4022 \tabularnewline
4 & 11456.8333333333 & 919.71436606781 & 2809 \tabularnewline
5 & 11707.25 & 896.315196690417 & 2459 \tabularnewline
6 & 11710.5833333333 & 1092.08778021594 & 4248 \tabularnewline
7 & 11698.0833333333 & 731.927400564407 & 2396 \tabularnewline
8 & 11862.9166666667 & 940.568731076463 & 3031 \tabularnewline
9 & 11828 & 865.679134342721 & 2339 \tabularnewline
10 & 11379.4166666667 & 870.981103889937 & 3173 \tabularnewline
11 & 11366.8333333333 & 1088.77519453853 & 3759 \tabularnewline
12 & 11281 & 787.595997034936 & 2340 \tabularnewline
13 & 11085.1666666667 & 790.946939184962 & 2579 \tabularnewline
14 & 11261.3333333333 & 821.451413196437 & 2712 \tabularnewline
15 & 11186.25 & 1147.99818854783 & 4132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=114757&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]11306.25[/C][C]978.905058540594[/C][C]3641[/C][/ROW]
[ROW][C]2[/C][C]11463.4166666667[/C][C]1067.15590224530[/C][C]3725[/C][/ROW]
[ROW][C]3[/C][C]11315.25[/C][C]1018.37465199119[/C][C]4022[/C][/ROW]
[ROW][C]4[/C][C]11456.8333333333[/C][C]919.71436606781[/C][C]2809[/C][/ROW]
[ROW][C]5[/C][C]11707.25[/C][C]896.315196690417[/C][C]2459[/C][/ROW]
[ROW][C]6[/C][C]11710.5833333333[/C][C]1092.08778021594[/C][C]4248[/C][/ROW]
[ROW][C]7[/C][C]11698.0833333333[/C][C]731.927400564407[/C][C]2396[/C][/ROW]
[ROW][C]8[/C][C]11862.9166666667[/C][C]940.568731076463[/C][C]3031[/C][/ROW]
[ROW][C]9[/C][C]11828[/C][C]865.679134342721[/C][C]2339[/C][/ROW]
[ROW][C]10[/C][C]11379.4166666667[/C][C]870.981103889937[/C][C]3173[/C][/ROW]
[ROW][C]11[/C][C]11366.8333333333[/C][C]1088.77519453853[/C][C]3759[/C][/ROW]
[ROW][C]12[/C][C]11281[/C][C]787.595997034936[/C][C]2340[/C][/ROW]
[ROW][C]13[/C][C]11085.1666666667[/C][C]790.946939184962[/C][C]2579[/C][/ROW]
[ROW][C]14[/C][C]11261.3333333333[/C][C]821.451413196437[/C][C]2712[/C][/ROW]
[ROW][C]15[/C][C]11186.25[/C][C]1147.99818854783[/C][C]4132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=114757&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114757&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	11306.25	978.905058540594	3641
2	11463.4166666667	1067.15590224530	3725
3	11315.25	1018.37465199119	4022
4	11456.8333333333	919.71436606781	2809
5	11707.25	896.315196690417	2459
6	11710.5833333333	1092.08778021594	4248
7	11698.0833333333	731.927400564407	2396
8	11862.9166666667	940.568731076463	3031
9	11828	865.679134342721	2339
10	11379.4166666667	870.981103889937	3173
11	11366.8333333333	1088.77519453853	3759
12	11281	787.595997034936	2340
13	11085.1666666667	790.946939184962	2579
14	11261.3333333333	821.451413196437	2712
15	11186.25	1147.99818854783	4132

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	1277.19404038628
beta	-0.0298963172635848
S.D.	0.145337057236038
T-STAT	-0.205703334250334
p-value	0.840208905821725

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 1277.19404038628 \tabularnewline
beta & -0.0298963172635848 \tabularnewline
S.D. & 0.145337057236038 \tabularnewline
T-STAT & -0.205703334250334 \tabularnewline
p-value & 0.840208905821725 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=114757&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]1277.19404038628[/C][/ROW]
[ROW][C]beta[/C][C]-0.0298963172635848[/C][/ROW]
[ROW][C]S.D.[/C][C]0.145337057236038[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.205703334250334[/C][/ROW]
[ROW][C]p-value[/C][C]0.840208905821725[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=114757&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114757&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	1277.19404038628
beta	-0.0298963172635848
S.D.	0.145337057236038
T-STAT	-0.205703334250334
p-value	0.840208905821725

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	9.32521585709698
beta	-0.266822697846112
S.D.	1.79594808555766
T-STAT	-0.148569271011673
p-value	0.88417336779935
Lambda	1.26682269784611

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 9.32521585709698 \tabularnewline
beta & -0.266822697846112 \tabularnewline
S.D. & 1.79594808555766 \tabularnewline
T-STAT & -0.148569271011673 \tabularnewline
p-value & 0.88417336779935 \tabularnewline
Lambda & 1.26682269784611 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=114757&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]9.32521585709698[/C][/ROW]
[ROW][C]beta[/C][C]-0.266822697846112[/C][/ROW]
[ROW][C]S.D.[/C][C]1.79594808555766[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.148569271011673[/C][/ROW]
[ROW][C]p-value[/C][C]0.88417336779935[/C][/ROW]
[ROW][C]Lambda[/C][C]1.26682269784611[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=114757&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114757&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	9.32521585709698
beta	-0.266822697846112
S.D.	1.79594808555766
T-STAT	-0.148569271011673
p-value	0.88417336779935
Lambda	1.26682269784611

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