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Author

*Unverified author*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Wed, 06 Jan 2010 10:38:06 -0700

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/Jan/06/t1262799522tm2wrhkt28apxfw.htm/, Retrieved Sat, 04 May 2024 16:10:24 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=71688, Retrieved Sat, 04 May 2024 16:10:24 +0000

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No (this computation is public)

User-defined keywords

KDGP2W83

Estimated Impact

103

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

-       [Standard Deviation-Mean Plot] [] [2010-01-06 17:38:06] [d7e29fbdd9c070952bc7bcf8a141229f] [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	'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=71688&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=71688&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=71688&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	'Gwilym Jenkins' @ 72.249.127.135

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	104.3825	0.0917877987534255	0.179999999999993
2	104.6075	0.0754431353183736	0.159999999999997
3	105.385	0.276706824394822	0.64
4	105.885	0.150222057856584	0.310000000000002
5	106.2925	0.106887791632162	0.230000000000004
6	107.28	0.335757849250515	0.789999999999992
7	107.87	0.1576916823002	0.370000000000005
8	108.465	0.192267175218931	0.450000000000003
9	109.75	0.388758708369768	0.899999999999991
10	110.6025	0.225591814272299	0.5
11	111.215	0.203059925473574	0.450000000000003
12	112.3	0.334564393403321	0.769999999999996
13	113.0575	0.177270979012356	0.429999999999993
14	113.5575	0.100788557551606	0.219999999999999
15	114.55	0.384013888637723	0.86
16	115.1775	0.0906917857360818	0.179999999999993
17	115.57	0.114017542509917	0.27000000000001
18	116.63	0.350903595497873	0.840000000000003
19	117.385	0.235159520326094	0.539999999999992
20	118.15	0.193045763140936	0.469999999999999

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 104.3825 & 0.0917877987534255 & 0.179999999999993 \tabularnewline
2 & 104.6075 & 0.0754431353183736 & 0.159999999999997 \tabularnewline
3 & 105.385 & 0.276706824394822 & 0.64 \tabularnewline
4 & 105.885 & 0.150222057856584 & 0.310000000000002 \tabularnewline
5 & 106.2925 & 0.106887791632162 & 0.230000000000004 \tabularnewline
6 & 107.28 & 0.335757849250515 & 0.789999999999992 \tabularnewline
7 & 107.87 & 0.1576916823002 & 0.370000000000005 \tabularnewline
8 & 108.465 & 0.192267175218931 & 0.450000000000003 \tabularnewline
9 & 109.75 & 0.388758708369768 & 0.899999999999991 \tabularnewline
10 & 110.6025 & 0.225591814272299 & 0.5 \tabularnewline
11 & 111.215 & 0.203059925473574 & 0.450000000000003 \tabularnewline
12 & 112.3 & 0.334564393403321 & 0.769999999999996 \tabularnewline
13 & 113.0575 & 0.177270979012356 & 0.429999999999993 \tabularnewline
14 & 113.5575 & 0.100788557551606 & 0.219999999999999 \tabularnewline
15 & 114.55 & 0.384013888637723 & 0.86 \tabularnewline
16 & 115.1775 & 0.0906917857360818 & 0.179999999999993 \tabularnewline
17 & 115.57 & 0.114017542509917 & 0.27000000000001 \tabularnewline
18 & 116.63 & 0.350903595497873 & 0.840000000000003 \tabularnewline
19 & 117.385 & 0.235159520326094 & 0.539999999999992 \tabularnewline
20 & 118.15 & 0.193045763140936 & 0.469999999999999 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=71688&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]104.3825[/C][C]0.0917877987534255[/C][C]0.179999999999993[/C][/ROW]
[ROW][C]2[/C][C]104.6075[/C][C]0.0754431353183736[/C][C]0.159999999999997[/C][/ROW]
[ROW][C]3[/C][C]105.385[/C][C]0.276706824394822[/C][C]0.64[/C][/ROW]
[ROW][C]4[/C][C]105.885[/C][C]0.150222057856584[/C][C]0.310000000000002[/C][/ROW]
[ROW][C]5[/C][C]106.2925[/C][C]0.106887791632162[/C][C]0.230000000000004[/C][/ROW]
[ROW][C]6[/C][C]107.28[/C][C]0.335757849250515[/C][C]0.789999999999992[/C][/ROW]
[ROW][C]7[/C][C]107.87[/C][C]0.1576916823002[/C][C]0.370000000000005[/C][/ROW]
[ROW][C]8[/C][C]108.465[/C][C]0.192267175218931[/C][C]0.450000000000003[/C][/ROW]
[ROW][C]9[/C][C]109.75[/C][C]0.388758708369768[/C][C]0.899999999999991[/C][/ROW]
[ROW][C]10[/C][C]110.6025[/C][C]0.225591814272299[/C][C]0.5[/C][/ROW]
[ROW][C]11[/C][C]111.215[/C][C]0.203059925473574[/C][C]0.450000000000003[/C][/ROW]
[ROW][C]12[/C][C]112.3[/C][C]0.334564393403321[/C][C]0.769999999999996[/C][/ROW]
[ROW][C]13[/C][C]113.0575[/C][C]0.177270979012356[/C][C]0.429999999999993[/C][/ROW]
[ROW][C]14[/C][C]113.5575[/C][C]0.100788557551606[/C][C]0.219999999999999[/C][/ROW]
[ROW][C]15[/C][C]114.55[/C][C]0.384013888637723[/C][C]0.86[/C][/ROW]
[ROW][C]16[/C][C]115.1775[/C][C]0.0906917857360818[/C][C]0.179999999999993[/C][/ROW]
[ROW][C]17[/C][C]115.57[/C][C]0.114017542509917[/C][C]0.27000000000001[/C][/ROW]
[ROW][C]18[/C][C]116.63[/C][C]0.350903595497873[/C][C]0.840000000000003[/C][/ROW]
[ROW][C]19[/C][C]117.385[/C][C]0.235159520326094[/C][C]0.539999999999992[/C][/ROW]
[ROW][C]20[/C][C]118.15[/C][C]0.193045763140936[/C][C]0.469999999999999[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=71688&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=71688&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	104.3825	0.0917877987534255	0.179999999999993
2	104.6075	0.0754431353183736	0.159999999999997
3	105.385	0.276706824394822	0.64
4	105.885	0.150222057856584	0.310000000000002
5	106.2925	0.106887791632162	0.230000000000004
6	107.28	0.335757849250515	0.789999999999992
7	107.87	0.1576916823002	0.370000000000005
8	108.465	0.192267175218931	0.450000000000003
9	109.75	0.388758708369768	0.899999999999991
10	110.6025	0.225591814272299	0.5
11	111.215	0.203059925473574	0.450000000000003
12	112.3	0.334564393403321	0.769999999999996
13	113.0575	0.177270979012356	0.429999999999993
14	113.5575	0.100788557551606	0.219999999999999
15	114.55	0.384013888637723	0.86
16	115.1775	0.0906917857360818	0.179999999999993
17	115.57	0.114017542509917	0.27000000000001
18	116.63	0.350903595497873	0.840000000000003
19	117.385	0.235159520326094	0.539999999999992
20	118.15	0.193045763140936	0.469999999999999

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-0.339580382695926
beta	0.00494845885525422
S.D.	0.00532377536686994
T-STAT	0.92950181295189
p-value	0.364927680044264

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -0.339580382695926 \tabularnewline
beta & 0.00494845885525422 \tabularnewline
S.D. & 0.00532377536686994 \tabularnewline
T-STAT & 0.92950181295189 \tabularnewline
p-value & 0.364927680044264 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=71688&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-0.339580382695926[/C][/ROW]
[ROW][C]beta[/C][C]0.00494845885525422[/C][/ROW]
[ROW][C]S.D.[/C][C]0.00532377536686994[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.92950181295189[/C][/ROW]
[ROW][C]p-value[/C][C]0.364927680044264[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=71688&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=71688&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	-0.339580382695926
beta	0.00494845885525422
S.D.	0.00532377536686994
T-STAT	0.92950181295189
p-value	0.364927680044264

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-16.8771203967395
beta	3.22595843977907
S.D.	2.96419130863883
T-STAT	1.08830979646197
p-value	0.290816085300154
Lambda	-2.22595843977907

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -16.8771203967395 \tabularnewline
beta & 3.22595843977907 \tabularnewline
S.D. & 2.96419130863883 \tabularnewline
T-STAT & 1.08830979646197 \tabularnewline
p-value & 0.290816085300154 \tabularnewline
Lambda & -2.22595843977907 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=71688&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-16.8771203967395[/C][/ROW]
[ROW][C]beta[/C][C]3.22595843977907[/C][/ROW]
[ROW][C]S.D.[/C][C]2.96419130863883[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.08830979646197[/C][/ROW]
[ROW][C]p-value[/C][C]0.290816085300154[/C][/ROW]
[ROW][C]Lambda[/C][C]-2.22595843977907[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=71688&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=71688&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	-16.8771203967395
beta	3.22595843977907
S.D.	2.96419130863883
T-STAT	1.08830979646197
p-value	0.290816085300154
Lambda	-2.22595843977907

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