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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, 28 May 2009 13:25:06 -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/2009/May/28/t12435387387b60ob7w3fq2tzu.htm/, Retrieved Mon, 06 May 2024 01:53:56 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=40704, Retrieved Mon, 06 May 2024 01:53:56 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

142

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

-       [Standard Deviation-Mean Plot] [Opgave 8 - Sofie ...] [2009-05-28 19:25:06] [906421aeac4a9ff967f975996dbb0335] [Current]
-   P     [Standard Deviation-Mean Plot] [Opgave 8 verbeter...] [2009-05-30 09:19:14] [74be16979710d4c4e7c6647856088456] 

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Boxplots

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	'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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=40704&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=40704&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=40704&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	'Gwilym Jenkins' @ 72.249.127.135

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	30.3675	0.205487225880346	0.43
2	30.4975	0.00500000000000078	0.0100000000000016
3	30.6275	0.174809420036029	0.369999999999997
4	31.1575	0.169189243156886	0.359999999999999
5	31.335	0.00999999999999979	0.0199999999999996
6	31.355	0.00999999999999979	0.0199999999999996
7	32.0275	0.210772389083580	0.469999999999999
8	32.2725	0.00957427107756457	0.0200000000000031
9	32.465	0.209841209807162	0.399999999999999
10	32.7875	0.0861684396980706	0.170000000000002
11	32.94	0.0270801280154548	0.0600000000000023
12	33.1175	0.204022057631032	0.43
13	33.5025	0.0170782512766015	0.0400000000000063
14	33.5575	0.00500000000000256	0.0100000000000051
15	33.6375	0.0556027577253737	0.119999999999997
16	33.99	0.123558353285672	0.280000000000001
17	34.17	0.0432049379893859	0.100000000000001
18	34.1425	0.0150000000000006	0.0300000000000011

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 30.3675 & 0.205487225880346 & 0.43 \tabularnewline
2 & 30.4975 & 0.00500000000000078 & 0.0100000000000016 \tabularnewline
3 & 30.6275 & 0.174809420036029 & 0.369999999999997 \tabularnewline
4 & 31.1575 & 0.169189243156886 & 0.359999999999999 \tabularnewline
5 & 31.335 & 0.00999999999999979 & 0.0199999999999996 \tabularnewline
6 & 31.355 & 0.00999999999999979 & 0.0199999999999996 \tabularnewline
7 & 32.0275 & 0.210772389083580 & 0.469999999999999 \tabularnewline
8 & 32.2725 & 0.00957427107756457 & 0.0200000000000031 \tabularnewline
9 & 32.465 & 0.209841209807162 & 0.399999999999999 \tabularnewline
10 & 32.7875 & 0.0861684396980706 & 0.170000000000002 \tabularnewline
11 & 32.94 & 0.0270801280154548 & 0.0600000000000023 \tabularnewline
12 & 33.1175 & 0.204022057631032 & 0.43 \tabularnewline
13 & 33.5025 & 0.0170782512766015 & 0.0400000000000063 \tabularnewline
14 & 33.5575 & 0.00500000000000256 & 0.0100000000000051 \tabularnewline
15 & 33.6375 & 0.0556027577253737 & 0.119999999999997 \tabularnewline
16 & 33.99 & 0.123558353285672 & 0.280000000000001 \tabularnewline
17 & 34.17 & 0.0432049379893859 & 0.100000000000001 \tabularnewline
18 & 34.1425 & 0.0150000000000006 & 0.0300000000000011 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=40704&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]30.3675[/C][C]0.205487225880346[/C][C]0.43[/C][/ROW]
[ROW][C]2[/C][C]30.4975[/C][C]0.00500000000000078[/C][C]0.0100000000000016[/C][/ROW]
[ROW][C]3[/C][C]30.6275[/C][C]0.174809420036029[/C][C]0.369999999999997[/C][/ROW]
[ROW][C]4[/C][C]31.1575[/C][C]0.169189243156886[/C][C]0.359999999999999[/C][/ROW]
[ROW][C]5[/C][C]31.335[/C][C]0.00999999999999979[/C][C]0.0199999999999996[/C][/ROW]
[ROW][C]6[/C][C]31.355[/C][C]0.00999999999999979[/C][C]0.0199999999999996[/C][/ROW]
[ROW][C]7[/C][C]32.0275[/C][C]0.210772389083580[/C][C]0.469999999999999[/C][/ROW]
[ROW][C]8[/C][C]32.2725[/C][C]0.00957427107756457[/C][C]0.0200000000000031[/C][/ROW]
[ROW][C]9[/C][C]32.465[/C][C]0.209841209807162[/C][C]0.399999999999999[/C][/ROW]
[ROW][C]10[/C][C]32.7875[/C][C]0.0861684396980706[/C][C]0.170000000000002[/C][/ROW]
[ROW][C]11[/C][C]32.94[/C][C]0.0270801280154548[/C][C]0.0600000000000023[/C][/ROW]
[ROW][C]12[/C][C]33.1175[/C][C]0.204022057631032[/C][C]0.43[/C][/ROW]
[ROW][C]13[/C][C]33.5025[/C][C]0.0170782512766015[/C][C]0.0400000000000063[/C][/ROW]
[ROW][C]14[/C][C]33.5575[/C][C]0.00500000000000256[/C][C]0.0100000000000051[/C][/ROW]
[ROW][C]15[/C][C]33.6375[/C][C]0.0556027577253737[/C][C]0.119999999999997[/C][/ROW]
[ROW][C]16[/C][C]33.99[/C][C]0.123558353285672[/C][C]0.280000000000001[/C][/ROW]
[ROW][C]17[/C][C]34.17[/C][C]0.0432049379893859[/C][C]0.100000000000001[/C][/ROW]
[ROW][C]18[/C][C]34.1425[/C][C]0.0150000000000006[/C][C]0.0300000000000011[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=40704&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=40704&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	30.3675	0.205487225880346	0.43
2	30.4975	0.00500000000000078	0.0100000000000016
3	30.6275	0.174809420036029	0.369999999999997
4	31.1575	0.169189243156886	0.359999999999999
5	31.335	0.00999999999999979	0.0199999999999996
6	31.355	0.00999999999999979	0.0199999999999996
7	32.0275	0.210772389083580	0.469999999999999
8	32.2725	0.00957427107756457	0.0200000000000031
9	32.465	0.209841209807162	0.399999999999999
10	32.7875	0.0861684396980706	0.170000000000002
11	32.94	0.0270801280154548	0.0600000000000023
12	33.1175	0.204022057631032	0.43
13	33.5025	0.0170782512766015	0.0400000000000063
14	33.5575	0.00500000000000256	0.0100000000000051
15	33.6375	0.0556027577253737	0.119999999999997
16	33.99	0.123558353285672	0.280000000000001
17	34.17	0.0432049379893859	0.100000000000001
18	34.1425	0.0150000000000006	0.0300000000000011

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	0.671655284909298
beta	-0.0179953873511503
S.D.	0.0157027731333368
T-STAT	-1.14600059482145
p-value	0.268646271989932

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.671655284909298 \tabularnewline
beta & -0.0179953873511503 \tabularnewline
S.D. & 0.0157027731333368 \tabularnewline
T-STAT & -1.14600059482145 \tabularnewline
p-value & 0.268646271989932 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=40704&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.671655284909298[/C][/ROW]
[ROW][C]beta[/C][C]-0.0179953873511503[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0157027731333368[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.14600059482145[/C][/ROW]
[ROW][C]p-value[/C][C]0.268646271989932[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=40704&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=40704&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	0.671655284909298
beta	-0.0179953873511503
S.D.	0.0157027731333368
T-STAT	-1.14600059482145
p-value	0.268646271989932

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	7.34093505277429
beta	-3.01608197620566
S.D.	8.68903090245346
T-STAT	-0.347113735704868
p-value	0.733029521645836
Lambda	4.01608197620566

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 7.34093505277429 \tabularnewline
beta & -3.01608197620566 \tabularnewline
S.D. & 8.68903090245346 \tabularnewline
T-STAT & -0.347113735704868 \tabularnewline
p-value & 0.733029521645836 \tabularnewline
Lambda & 4.01608197620566 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=40704&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]7.34093505277429[/C][/ROW]
[ROW][C]beta[/C][C]-3.01608197620566[/C][/ROW]
[ROW][C]S.D.[/C][C]8.68903090245346[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.347113735704868[/C][/ROW]
[ROW][C]p-value[/C][C]0.733029521645836[/C][/ROW]
[ROW][C]Lambda[/C][C]4.01608197620566[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=40704&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=40704&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	7.34093505277429
beta	-3.01608197620566
S.D.	8.68903090245346
T-STAT	-0.347113735704868
p-value	0.733029521645836
Lambda	4.01608197620566

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

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code