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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, 15 Aug 2017 13:00:22 +0200

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/2017/Aug/15/t15027948820kxnkhk8uft4lvl.htm/, Retrieved Sun, 19 May 2024 22:26:22 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=307270, Retrieved Sun, 19 May 2024 22:26:22 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

107

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

-       [Standard Deviation-Mean Plot] [] [2017-08-15 11:00:22] [eec775fda337aa2da775a098928b5865] [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	Big Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=307270&T=0

[TABLE]
[ROW]

Summary of computational transaction[/C][/ROW] [ROW]

Raw Input[/C]

view raw input (R code) [/C][/ROW] [ROW]

Raw Output[/C]

view raw output of R engine [/C][/ROW] [ROW]

Computing time[/C]

1 seconds[/C][/ROW] [ROW]

R Server[/C]

Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=307270&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=307270&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	Big Analytics Cloud Computing Center

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	3449840.33333333	116909.283046404	348712
2	3510143	124048.612803793	401856
3	3601749.66666667	121675.896311272	388934
4	3716788.83333333	124490.623499292	429156
5	3604130.83333333	205006.22742729	736554
6	3280322.5	244422.471899671	844116
7	2950872.16666667	201007.421343697	723450
8	2500892.33333333	280159.168857904	1017744
9	2180420.66666667	312835.29208757	1045044
10	1738236.5	346222.392396065	1192828

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 3449840.33333333 & 116909.283046404 & 348712 \tabularnewline
2 & 3510143 & 124048.612803793 & 401856 \tabularnewline
3 & 3601749.66666667 & 121675.896311272 & 388934 \tabularnewline
4 & 3716788.83333333 & 124490.623499292 & 429156 \tabularnewline
5 & 3604130.83333333 & 205006.22742729 & 736554 \tabularnewline
6 & 3280322.5 & 244422.471899671 & 844116 \tabularnewline
7 & 2950872.16666667 & 201007.421343697 & 723450 \tabularnewline
8 & 2500892.33333333 & 280159.168857904 & 1017744 \tabularnewline
9 & 2180420.66666667 & 312835.29208757 & 1045044 \tabularnewline
10 & 1738236.5 & 346222.392396065 & 1192828 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=307270&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]3449840.33333333[/C][C]116909.283046404[/C][C]348712[/C][/ROW]
[ROW][C]2[/C][C]3510143[/C][C]124048.612803793[/C][C]401856[/C][/ROW]
[ROW][C]3[/C][C]3601749.66666667[/C][C]121675.896311272[/C][C]388934[/C][/ROW]
[ROW][C]4[/C][C]3716788.83333333[/C][C]124490.623499292[/C][C]429156[/C][/ROW]
[ROW][C]5[/C][C]3604130.83333333[/C][C]205006.22742729[/C][C]736554[/C][/ROW]
[ROW][C]6[/C][C]3280322.5[/C][C]244422.471899671[/C][C]844116[/C][/ROW]
[ROW][C]7[/C][C]2950872.16666667[/C][C]201007.421343697[/C][C]723450[/C][/ROW]
[ROW][C]8[/C][C]2500892.33333333[/C][C]280159.168857904[/C][C]1017744[/C][/ROW]
[ROW][C]9[/C][C]2180420.66666667[/C][C]312835.29208757[/C][C]1045044[/C][/ROW]
[ROW][C]10[/C][C]1738236.5[/C][C]346222.392396065[/C][C]1192828[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=307270&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=307270&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	3449840.33333333	116909.283046404	348712
2	3510143	124048.612803793	401856
3	3601749.66666667	121675.896311272	388934
4	3716788.83333333	124490.623499292	429156
5	3604130.83333333	205006.22742729	736554
6	3280322.5	244422.471899671	844116
7	2950872.16666667	201007.421343697	723450
8	2500892.33333333	280159.168857904	1017744
9	2180420.66666667	312835.29208757	1045044
10	1738236.5	346222.392396065	1192828

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	553168.59639043
beta	-0.113151792219188
S.D.	0.0185894327362386
T-STAT	-6.08688784777212
p-value	0.000293686871073618

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 553168.59639043 \tabularnewline
beta & -0.113151792219188 \tabularnewline
S.D. & 0.0185894327362386 \tabularnewline
T-STAT & -6.08688784777212 \tabularnewline
p-value & 0.000293686871073618 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=307270&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]553168.59639043[/C][/ROW]
[ROW][C]beta[/C][C]-0.113151792219188[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0185894327362386[/C][/ROW]
[ROW][C]T-STAT[/C][C]-6.08688784777212[/C][/ROW]
[ROW][C]p-value[/C][C]0.000293686871073618[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=307270&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=307270&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	553168.59639043
beta	-0.113151792219188
S.D.	0.0185894327362386
T-STAT	-6.08688784777212
p-value	0.000293686871073618

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	32.8198034093303
beta	-1.38589065989076
S.D.	0.316605261909546
T-STAT	-4.37734563074543
p-value	0.00235715681397506
Lambda	2.38589065989076

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 32.8198034093303 \tabularnewline
beta & -1.38589065989076 \tabularnewline
S.D. & 0.316605261909546 \tabularnewline
T-STAT & -4.37734563074543 \tabularnewline
p-value & 0.00235715681397506 \tabularnewline
Lambda & 2.38589065989076 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=307270&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]32.8198034093303[/C][/ROW]
[ROW][C]beta[/C][C]-1.38589065989076[/C][/ROW]
[ROW][C]S.D.[/C][C]0.316605261909546[/C][/ROW]
[ROW][C]T-STAT[/C][C]-4.37734563074543[/C][/ROW]
[ROW][C]p-value[/C][C]0.00235715681397506[/C][/ROW]
[ROW][C]Lambda[/C][C]2.38589065989076[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=307270&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=307270&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	32.8198034093303
beta	-1.38589065989076
S.D.	0.316605261909546
T-STAT	-4.37734563074543
p-value	0.00235715681397506
Lambda	2.38589065989076

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

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