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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, 15 May 2008 11:40:14 -0600

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/2008/May/15/t1210873252ci7f58n0rp76hzo.htm/, Retrieved Tue, 14 May 2024 21:46:27 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=12588, Retrieved Tue, 14 May 2024 21:46:27 +0000

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No (this computation is public)

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Estimated Impact

233

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

-       [Standard Deviation-Mean Plot] [Standard deviatio...] [2008-05-15 17:40:14] [0de5017ea2334b95113159299296029a] [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	3 seconds
R Server	'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 3 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=12588&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=12588&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12588&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	3 seconds
R Server	'Herman Ole Andreas Wold' @ 193.190.124.10:1001

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	66.1975	0.0939414711402814	0.230000000000004
2	66.315	0.077244201508377	0.159999999999997
3	66.275	0.00577350269189921	0.0100000000000051
4	66.1325	0.193455421221533	0.420000000000002
5	65.9225	0.0206155281280856	0.0399999999999920
6	66.1025	0.2555223408367	0.560000000000002
7	66.7225	0.271584854756912	0.61
8	67.27	0.00816496580927564	0.0199999999999960
9	67.535	0.127148207485068	0.269999999999996
10	67.7875	0.135246688191127	0.290000000000006
11	68.4225	0.108742815854657	0.25
12	68.4975	0.0434932945023356	0.100000000000009
13	68.6125	0.0991211380079921	0.209999999999994
14	68.7175	0.00500000000000256	0.0100000000000051
15	69.0075	0.113541475535007	0.219999999999999
16	69.045	0.146628782986151	0.329999999999998
17	68.5225	0.0095742710775621	0.0199999999999960
18	68.4125	0.0250000000000014	0.0600000000000023
19	68.585	0.193649167310371	0.420000000000002
20	68.4825	0.165201896679989	0.349999999999994
21	68.3725	0.251975527912266	0.519999999999996

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 66.1975 & 0.0939414711402814 & 0.230000000000004 \tabularnewline
2 & 66.315 & 0.077244201508377 & 0.159999999999997 \tabularnewline
3 & 66.275 & 0.00577350269189921 & 0.0100000000000051 \tabularnewline
4 & 66.1325 & 0.193455421221533 & 0.420000000000002 \tabularnewline
5 & 65.9225 & 0.0206155281280856 & 0.0399999999999920 \tabularnewline
6 & 66.1025 & 0.2555223408367 & 0.560000000000002 \tabularnewline
7 & 66.7225 & 0.271584854756912 & 0.61 \tabularnewline
8 & 67.27 & 0.00816496580927564 & 0.0199999999999960 \tabularnewline
9 & 67.535 & 0.127148207485068 & 0.269999999999996 \tabularnewline
10 & 67.7875 & 0.135246688191127 & 0.290000000000006 \tabularnewline
11 & 68.4225 & 0.108742815854657 & 0.25 \tabularnewline
12 & 68.4975 & 0.0434932945023356 & 0.100000000000009 \tabularnewline
13 & 68.6125 & 0.0991211380079921 & 0.209999999999994 \tabularnewline
14 & 68.7175 & 0.00500000000000256 & 0.0100000000000051 \tabularnewline
15 & 69.0075 & 0.113541475535007 & 0.219999999999999 \tabularnewline
16 & 69.045 & 0.146628782986151 & 0.329999999999998 \tabularnewline
17 & 68.5225 & 0.0095742710775621 & 0.0199999999999960 \tabularnewline
18 & 68.4125 & 0.0250000000000014 & 0.0600000000000023 \tabularnewline
19 & 68.585 & 0.193649167310371 & 0.420000000000002 \tabularnewline
20 & 68.4825 & 0.165201896679989 & 0.349999999999994 \tabularnewline
21 & 68.3725 & 0.251975527912266 & 0.519999999999996 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=12588&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]66.1975[/C][C]0.0939414711402814[/C][C]0.230000000000004[/C][/ROW]
[ROW][C]2[/C][C]66.315[/C][C]0.077244201508377[/C][C]0.159999999999997[/C][/ROW]
[ROW][C]3[/C][C]66.275[/C][C]0.00577350269189921[/C][C]0.0100000000000051[/C][/ROW]
[ROW][C]4[/C][C]66.1325[/C][C]0.193455421221533[/C][C]0.420000000000002[/C][/ROW]
[ROW][C]5[/C][C]65.9225[/C][C]0.0206155281280856[/C][C]0.0399999999999920[/C][/ROW]
[ROW][C]6[/C][C]66.1025[/C][C]0.2555223408367[/C][C]0.560000000000002[/C][/ROW]
[ROW][C]7[/C][C]66.7225[/C][C]0.271584854756912[/C][C]0.61[/C][/ROW]
[ROW][C]8[/C][C]67.27[/C][C]0.00816496580927564[/C][C]0.0199999999999960[/C][/ROW]
[ROW][C]9[/C][C]67.535[/C][C]0.127148207485068[/C][C]0.269999999999996[/C][/ROW]
[ROW][C]10[/C][C]67.7875[/C][C]0.135246688191127[/C][C]0.290000000000006[/C][/ROW]
[ROW][C]11[/C][C]68.4225[/C][C]0.108742815854657[/C][C]0.25[/C][/ROW]
[ROW][C]12[/C][C]68.4975[/C][C]0.0434932945023356[/C][C]0.100000000000009[/C][/ROW]
[ROW][C]13[/C][C]68.6125[/C][C]0.0991211380079921[/C][C]0.209999999999994[/C][/ROW]
[ROW][C]14[/C][C]68.7175[/C][C]0.00500000000000256[/C][C]0.0100000000000051[/C][/ROW]
[ROW][C]15[/C][C]69.0075[/C][C]0.113541475535007[/C][C]0.219999999999999[/C][/ROW]
[ROW][C]16[/C][C]69.045[/C][C]0.146628782986151[/C][C]0.329999999999998[/C][/ROW]
[ROW][C]17[/C][C]68.5225[/C][C]0.0095742710775621[/C][C]0.0199999999999960[/C][/ROW]
[ROW][C]18[/C][C]68.4125[/C][C]0.0250000000000014[/C][C]0.0600000000000023[/C][/ROW]
[ROW][C]19[/C][C]68.585[/C][C]0.193649167310371[/C][C]0.420000000000002[/C][/ROW]
[ROW][C]20[/C][C]68.4825[/C][C]0.165201896679989[/C][C]0.349999999999994[/C][/ROW]
[ROW][C]21[/C][C]68.3725[/C][C]0.251975527912266[/C][C]0.519999999999996[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=12588&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12588&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	66.1975	0.0939414711402814	0.230000000000004
2	66.315	0.077244201508377	0.159999999999997
3	66.275	0.00577350269189921	0.0100000000000051
4	66.1325	0.193455421221533	0.420000000000002
5	65.9225	0.0206155281280856	0.0399999999999920
6	66.1025	0.2555223408367	0.560000000000002
7	66.7225	0.271584854756912	0.61
8	67.27	0.00816496580927564	0.0199999999999960
9	67.535	0.127148207485068	0.269999999999996
10	67.7875	0.135246688191127	0.290000000000006
11	68.4225	0.108742815854657	0.25
12	68.4975	0.0434932945023356	0.100000000000009
13	68.6125	0.0991211380079921	0.209999999999994
14	68.7175	0.00500000000000256	0.0100000000000051
15	69.0075	0.113541475535007	0.219999999999999
16	69.045	0.146628782986151	0.329999999999998
17	68.5225	0.0095742710775621	0.0199999999999960
18	68.4125	0.0250000000000014	0.0600000000000023
19	68.585	0.193649167310371	0.420000000000002
20	68.4825	0.165201896679989	0.349999999999994
21	68.3725	0.251975527912266	0.519999999999996

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	0.50814672536758
beta	-0.00585560989211953
S.D.	0.0176898841288662
T-STAT	-0.331014598482553
p-value	0.744256223427568

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.50814672536758 \tabularnewline
beta & -0.00585560989211953 \tabularnewline
S.D. & 0.0176898841288662 \tabularnewline
T-STAT & -0.331014598482553 \tabularnewline
p-value & 0.744256223427568 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=12588&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.50814672536758[/C][/ROW]
[ROW][C]beta[/C][C]-0.00585560989211953[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0176898841288662[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.331014598482553[/C][/ROW]
[ROW][C]p-value[/C][C]0.744256223427568[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=12588&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12588&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	0.50814672536758
beta	-0.00585560989211953
S.D.	0.0176898841288662
T-STAT	-0.331014598482553
p-value	0.744256223427568

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-5.57167471632082
beta	0.673924089257613
S.D.	18.1058723067326
T-STAT	0.03722129913658
p-value	0.970696852481007
Lambda	0.326075910742387

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -5.57167471632082 \tabularnewline
beta & 0.673924089257613 \tabularnewline
S.D. & 18.1058723067326 \tabularnewline
T-STAT & 0.03722129913658 \tabularnewline
p-value & 0.970696852481007 \tabularnewline
Lambda & 0.326075910742387 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=12588&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-5.57167471632082[/C][/ROW]
[ROW][C]beta[/C][C]0.673924089257613[/C][/ROW]
[ROW][C]S.D.[/C][C]18.1058723067326[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.03722129913658[/C][/ROW]
[ROW][C]p-value[/C][C]0.970696852481007[/C][/ROW]
[ROW][C]Lambda[/C][C]0.326075910742387[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=12588&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12588&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	-5.57167471632082
beta	0.673924089257613
S.D.	18.1058723067326
T-STAT	0.03722129913658
p-value	0.970696852481007
Lambda	0.326075910742387

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 4 ;

Parameters (R input):

par1 = 4 ;

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

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Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code