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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

Tue, 20 Nov 2012 12:35:11 -0500

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/2012/Nov/20/t1353432999i0pijwt14r2lc3a.htm/, Retrieved Mon, 29 Apr 2024 18:03:45 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=191205, Retrieved Mon, 29 Apr 2024 18:03:45 +0000

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

-       [Standard Deviation-Mean Plot] [WS 9 SMP] [2012-11-20 17:35:11] [851af2766980873020febd248b5479af] [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	4 seconds
R Server	'Gertrude Mary Cox' @ cox.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 & 4 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=191205&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]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=191205&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=191205&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	4 seconds
R Server	'Gertrude Mary Cox' @ cox.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	556416.666666667	23453.8554044603	71000
2	548250	18796.155312868	62000
3	570000	20867.5476626878	67000
4	545083.333333333	30022.5925030811	95000
5	505416.666666667	19519.0272360695	65000
6	540833.333333333	21916.5082377037	67000
7	594083.333333333	18870.1704638123	53000
8	596000	21983.4648604975	62000
9	569416.666666667	29234.0347519597	76000
10	531333.333333333	31326.2403319219	79000
11	484916.666666667	27533.3131557634	70000
12	468250	28336.0515630145	82000

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 556416.666666667 & 23453.8554044603 & 71000 \tabularnewline
2 & 548250 & 18796.155312868 & 62000 \tabularnewline
3 & 570000 & 20867.5476626878 & 67000 \tabularnewline
4 & 545083.333333333 & 30022.5925030811 & 95000 \tabularnewline
5 & 505416.666666667 & 19519.0272360695 & 65000 \tabularnewline
6 & 540833.333333333 & 21916.5082377037 & 67000 \tabularnewline
7 & 594083.333333333 & 18870.1704638123 & 53000 \tabularnewline
8 & 596000 & 21983.4648604975 & 62000 \tabularnewline
9 & 569416.666666667 & 29234.0347519597 & 76000 \tabularnewline
10 & 531333.333333333 & 31326.2403319219 & 79000 \tabularnewline
11 & 484916.666666667 & 27533.3131557634 & 70000 \tabularnewline
12 & 468250 & 28336.0515630145 & 82000 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=191205&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]556416.666666667[/C][C]23453.8554044603[/C][C]71000[/C][/ROW]
[ROW][C]2[/C][C]548250[/C][C]18796.155312868[/C][C]62000[/C][/ROW]
[ROW][C]3[/C][C]570000[/C][C]20867.5476626878[/C][C]67000[/C][/ROW]
[ROW][C]4[/C][C]545083.333333333[/C][C]30022.5925030811[/C][C]95000[/C][/ROW]
[ROW][C]5[/C][C]505416.666666667[/C][C]19519.0272360695[/C][C]65000[/C][/ROW]
[ROW][C]6[/C][C]540833.333333333[/C][C]21916.5082377037[/C][C]67000[/C][/ROW]
[ROW][C]7[/C][C]594083.333333333[/C][C]18870.1704638123[/C][C]53000[/C][/ROW]
[ROW][C]8[/C][C]596000[/C][C]21983.4648604975[/C][C]62000[/C][/ROW]
[ROW][C]9[/C][C]569416.666666667[/C][C]29234.0347519597[/C][C]76000[/C][/ROW]
[ROW][C]10[/C][C]531333.333333333[/C][C]31326.2403319219[/C][C]79000[/C][/ROW]
[ROW][C]11[/C][C]484916.666666667[/C][C]27533.3131557634[/C][C]70000[/C][/ROW]
[ROW][C]12[/C][C]468250[/C][C]28336.0515630145[/C][C]82000[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=191205&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=191205&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	556416.666666667	23453.8554044603	71000
2	548250	18796.155312868	62000
3	570000	20867.5476626878	67000
4	545083.333333333	30022.5925030811	95000
5	505416.666666667	19519.0272360695	65000
6	540833.333333333	21916.5082377037	67000
7	594083.333333333	18870.1704638123	53000
8	596000	21983.4648604975	62000
9	569416.666666667	29234.0347519597	76000
10	531333.333333333	31326.2403319219	79000
11	484916.666666667	27533.3131557634	70000
12	468250	28336.0515630145	82000

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	48323.5671743487
beta	-0.0442432941026643
S.D.	0.0341579670246344
T-STAT	-1.29525548375746
p-value	0.224334635012188

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 48323.5671743487 \tabularnewline
beta & -0.0442432941026643 \tabularnewline
S.D. & 0.0341579670246344 \tabularnewline
T-STAT & -1.29525548375746 \tabularnewline
p-value & 0.224334635012188 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=191205&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]48323.5671743487[/C][/ROW]
[ROW][C]beta[/C][C]-0.0442432941026643[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0341579670246344[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.29525548375746[/C][/ROW]
[ROW][C]p-value[/C][C]0.224334635012188[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=191205&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=191205&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	48323.5671743487
beta	-0.0442432941026643
S.D.	0.0341579670246344
T-STAT	-1.29525548375746
p-value	0.224334635012188

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	22.8289573789877
beta	-0.965553774280778
S.D.	0.74371325922527
T-STAT	-1.29828769664077
p-value	0.223330957479166
Lambda	1.96555377428078

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 22.8289573789877 \tabularnewline
beta & -0.965553774280778 \tabularnewline
S.D. & 0.74371325922527 \tabularnewline
T-STAT & -1.29828769664077 \tabularnewline
p-value & 0.223330957479166 \tabularnewline
Lambda & 1.96555377428078 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=191205&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]22.8289573789877[/C][/ROW]
[ROW][C]beta[/C][C]-0.965553774280778[/C][/ROW]
[ROW][C]S.D.[/C][C]0.74371325922527[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.29828769664077[/C][/ROW]
[ROW][C]p-value[/C][C]0.223330957479166[/C][/ROW]
[ROW][C]Lambda[/C][C]1.96555377428078[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=191205&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=191205&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	22.8289573789877
beta	-0.965553774280778
S.D.	0.74371325922527
T-STAT	-1.29828769664077
p-value	0.223330957479166
Lambda	1.96555377428078

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