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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

Tue, 12 Aug 2014 17:52:12 +0100

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/2014/Aug/12/t14078623679afry88shonb82n.htm/, Retrieved Wed, 15 May 2024 19:14:09 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=235489, Retrieved Wed, 15 May 2024 19:14:09 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Boeykens Brice

Estimated Impact

154

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

-       [Standard Deviation-Mean Plot] [Tijdreeks A Stap 26] [2014-08-12 16:52:12] [7314f5de623f4497f735e8af2050bf2f] [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' @ jenkins.wessa.net

\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' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235489&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' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235489&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235489&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' @ jenkins.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	5099.5	90.0651279504297	268
2	4867	172.378547494645	476
3	4479.58333333333	221.046872171876	558
4	3919.75	301.052434273198	785
5	3501.25	228.496717700714	723
6	3116.41666666667	274.886243689452	785
7	2641.83333333333	326.116218362086	940
8	2103.75	289.929184143614	857
9	1500	436.668794813227	1199
10	862	327.661410605521	951

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 5099.5 & 90.0651279504297 & 268 \tabularnewline
2 & 4867 & 172.378547494645 & 476 \tabularnewline
3 & 4479.58333333333 & 221.046872171876 & 558 \tabularnewline
4 & 3919.75 & 301.052434273198 & 785 \tabularnewline
5 & 3501.25 & 228.496717700714 & 723 \tabularnewline
6 & 3116.41666666667 & 274.886243689452 & 785 \tabularnewline
7 & 2641.83333333333 & 326.116218362086 & 940 \tabularnewline
8 & 2103.75 & 289.929184143614 & 857 \tabularnewline
9 & 1500 & 436.668794813227 & 1199 \tabularnewline
10 & 862 & 327.661410605521 & 951 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235489&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]5099.5[/C][C]90.0651279504297[/C][C]268[/C][/ROW]
[ROW][C]2[/C][C]4867[/C][C]172.378547494645[/C][C]476[/C][/ROW]
[ROW][C]3[/C][C]4479.58333333333[/C][C]221.046872171876[/C][C]558[/C][/ROW]
[ROW][C]4[/C][C]3919.75[/C][C]301.052434273198[/C][C]785[/C][/ROW]
[ROW][C]5[/C][C]3501.25[/C][C]228.496717700714[/C][C]723[/C][/ROW]
[ROW][C]6[/C][C]3116.41666666667[/C][C]274.886243689452[/C][C]785[/C][/ROW]
[ROW][C]7[/C][C]2641.83333333333[/C][C]326.116218362086[/C][C]940[/C][/ROW]
[ROW][C]8[/C][C]2103.75[/C][C]289.929184143614[/C][C]857[/C][/ROW]
[ROW][C]9[/C][C]1500[/C][C]436.668794813227[/C][C]1199[/C][/ROW]
[ROW][C]10[/C][C]862[/C][C]327.661410605521[/C][C]951[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235489&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235489&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	5099.5	90.0651279504297	268
2	4867	172.378547494645	476
3	4479.58333333333	221.046872171876	558
4	3919.75	301.052434273198	785
5	3501.25	228.496717700714	723
6	3116.41666666667	274.886243689452	785
7	2641.83333333333	326.116218362086	940
8	2103.75	289.929184143614	857
9	1500	436.668794813227	1199
10	862	327.661410605521	951

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	445.197875598008
beta	-0.0555817074247097
S.D.	0.0128323844798867
T-STAT	-4.33136238333787
p-value	0.00250737595623113

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 445.197875598008 \tabularnewline
beta & -0.0555817074247097 \tabularnewline
S.D. & 0.0128323844798867 \tabularnewline
T-STAT & -4.33136238333787 \tabularnewline
p-value & 0.00250737595623113 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235489&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]445.197875598008[/C][/ROW]
[ROW][C]beta[/C][C]-0.0555817074247097[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0128323844798867[/C][/ROW]
[ROW][C]T-STAT[/C][C]-4.33136238333787[/C][/ROW]
[ROW][C]p-value[/C][C]0.00250737595623113[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235489&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235489&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	445.197875598008
beta	-0.0555817074247097
S.D.	0.0128323844798867
T-STAT	-4.33136238333787
p-value	0.00250737595623113

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	9.72248495234559
beta	-0.529361024028661
S.D.	0.196777018760839
T-STAT	-2.69015674372037
p-value	0.027489959373801
Lambda	1.52936102402866

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 9.72248495234559 \tabularnewline
beta & -0.529361024028661 \tabularnewline
S.D. & 0.196777018760839 \tabularnewline
T-STAT & -2.69015674372037 \tabularnewline
p-value & 0.027489959373801 \tabularnewline
Lambda & 1.52936102402866 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235489&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]9.72248495234559[/C][/ROW]
[ROW][C]beta[/C][C]-0.529361024028661[/C][/ROW]
[ROW][C]S.D.[/C][C]0.196777018760839[/C][/ROW]
[ROW][C]T-STAT[/C][C]-2.69015674372037[/C][/ROW]
[ROW][C]p-value[/C][C]0.027489959373801[/C][/ROW]
[ROW][C]Lambda[/C][C]1.52936102402866[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235489&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235489&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	9.72248495234559
beta	-0.529361024028661
S.D.	0.196777018760839
T-STAT	-2.69015674372037
p-value	0.027489959373801
Lambda	1.52936102402866

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

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Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code