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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

Sat, 08 Aug 2015 15:55:04 +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/2015/Aug/08/t1439045906fbwlwr94ocr07nb.htm/, Retrieved Wed, 15 May 2024 01:01:22 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=279949, Retrieved Wed, 15 May 2024 01:01:22 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

128

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

-       [Standard Deviation-Mean Plot] [] [2015-08-08 14:55:04] [70e23d918d09c907c02097a361cd6415] [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	'Sir Maurice George Kendall' @ kendall.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 & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=279949&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]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=279949&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=279949&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	'Sir Maurice George Kendall' @ kendall.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	63891.6666666667	7966.23081095027	29700
2	62241.6666666667	10863.7393807719	39600
3	59583.3333333333	11658.6162700954	38500
4	60133.3333333333	12770.8000271453	47300
5	59675	15090.6427961171	50600
6	61416.6666666667	15190.2380933721	50600
7	62608.3333333333	14872.8219693955	55000
8	63341.6666666667	15978.1361032297	55000
9	62883.3333333333	17429.3813238833	61600

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 63891.6666666667 & 7966.23081095027 & 29700 \tabularnewline
2 & 62241.6666666667 & 10863.7393807719 & 39600 \tabularnewline
3 & 59583.3333333333 & 11658.6162700954 & 38500 \tabularnewline
4 & 60133.3333333333 & 12770.8000271453 & 47300 \tabularnewline
5 & 59675 & 15090.6427961171 & 50600 \tabularnewline
6 & 61416.6666666667 & 15190.2380933721 & 50600 \tabularnewline
7 & 62608.3333333333 & 14872.8219693955 & 55000 \tabularnewline
8 & 63341.6666666667 & 15978.1361032297 & 55000 \tabularnewline
9 & 62883.3333333333 & 17429.3813238833 & 61600 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=279949&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]63891.6666666667[/C][C]7966.23081095027[/C][C]29700[/C][/ROW]
[ROW][C]2[/C][C]62241.6666666667[/C][C]10863.7393807719[/C][C]39600[/C][/ROW]
[ROW][C]3[/C][C]59583.3333333333[/C][C]11658.6162700954[/C][C]38500[/C][/ROW]
[ROW][C]4[/C][C]60133.3333333333[/C][C]12770.8000271453[/C][C]47300[/C][/ROW]
[ROW][C]5[/C][C]59675[/C][C]15090.6427961171[/C][C]50600[/C][/ROW]
[ROW][C]6[/C][C]61416.6666666667[/C][C]15190.2380933721[/C][C]50600[/C][/ROW]
[ROW][C]7[/C][C]62608.3333333333[/C][C]14872.8219693955[/C][C]55000[/C][/ROW]
[ROW][C]8[/C][C]63341.6666666667[/C][C]15978.1361032297[/C][C]55000[/C][/ROW]
[ROW][C]9[/C][C]62883.3333333333[/C][C]17429.3813238833[/C][C]61600[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=279949&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=279949&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	63891.6666666667	7966.23081095027	29700
2	62241.6666666667	10863.7393807719	39600
3	59583.3333333333	11658.6162700954	38500
4	60133.3333333333	12770.8000271453	47300
5	59675	15090.6427961171	50600
6	61416.6666666667	15190.2380933721	50600
7	62608.3333333333	14872.8219693955	55000
8	63341.6666666667	15978.1361032297	55000
9	62883.3333333333	17429.3813238833	61600

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	20170.855020989
beta	-0.107448317059854
S.D.	0.688757001617613
T-STAT	-0.156003230177699
p-value	0.880434120508993

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 20170.855020989 \tabularnewline
beta & -0.107448317059854 \tabularnewline
S.D. & 0.688757001617613 \tabularnewline
T-STAT & -0.156003230177699 \tabularnewline
p-value & 0.880434120508993 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=279949&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]20170.855020989[/C][/ROW]
[ROW][C]beta[/C][C]-0.107448317059854[/C][/ROW]
[ROW][C]S.D.[/C][C]0.688757001617613[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.156003230177699[/C][/ROW]
[ROW][C]p-value[/C][C]0.880434120508993[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=279949&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=279949&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	20170.855020989
beta	-0.107448317059854
S.D.	0.688757001617613
T-STAT	-0.156003230177699
p-value	0.880434120508993

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	23.7879271260334
beta	-1.2963355072814
S.D.	3.45582772786271
T-STAT	-0.375115778147638
p-value	0.718681736243567
Lambda	2.2963355072814

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 23.7879271260334 \tabularnewline
beta & -1.2963355072814 \tabularnewline
S.D. & 3.45582772786271 \tabularnewline
T-STAT & -0.375115778147638 \tabularnewline
p-value & 0.718681736243567 \tabularnewline
Lambda & 2.2963355072814 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=279949&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]23.7879271260334[/C][/ROW]
[ROW][C]beta[/C][C]-1.2963355072814[/C][/ROW]
[ROW][C]S.D.[/C][C]3.45582772786271[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.375115778147638[/C][/ROW]
[ROW][C]p-value[/C][C]0.718681736243567[/C][/ROW]
[ROW][C]Lambda[/C][C]2.2963355072814[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=279949&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=279949&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	23.7879271260334
beta	-1.2963355072814
S.D.	3.45582772786271
T-STAT	-0.375115778147638
p-value	0.718681736243567
Lambda	2.2963355072814

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