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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

Fri, 14 Aug 2015 20:05:01 +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/14/t1439579154t8oxyous6wxl7da.htm/, Retrieved Sun, 19 May 2024 15:36:14 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=280075, Retrieved Sun, 19 May 2024 15:36:14 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

130

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

-       [Standard Deviation-Mean Plot] [Omzet product ban...] [2015-08-14 19:05:01] [318ebe2e7bf55ee158992108d321fa26] [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=280075&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=280075&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280075&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	6160429.16666667	208766.576868579	622700
2	6268112.5	221515.380006774	717600
3	6431695.83333333	217278.386270129	694525
4	6637122.91666667	222304.684820164	766350
5	6435947.91666667	366082.548977303	1315275
6	5857718.75	436468.699820841	1507350
7	5269414.58333333	358941.82382803	1291875
8	4465879.16666667	500284.2301034	1817400
9	3893608.33333333	558634.450156375	1866150
10	3103993.75	618254.27213583	2130050

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 6160429.16666667 & 208766.576868579 & 622700 \tabularnewline
2 & 6268112.5 & 221515.380006774 & 717600 \tabularnewline
3 & 6431695.83333333 & 217278.386270129 & 694525 \tabularnewline
4 & 6637122.91666667 & 222304.684820164 & 766350 \tabularnewline
5 & 6435947.91666667 & 366082.548977303 & 1315275 \tabularnewline
6 & 5857718.75 & 436468.699820841 & 1507350 \tabularnewline
7 & 5269414.58333333 & 358941.82382803 & 1291875 \tabularnewline
8 & 4465879.16666667 & 500284.2301034 & 1817400 \tabularnewline
9 & 3893608.33333333 & 558634.450156375 & 1866150 \tabularnewline
10 & 3103993.75 & 618254.27213583 & 2130050 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=280075&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]6160429.16666667[/C][C]208766.576868579[/C][C]622700[/C][/ROW]
[ROW][C]2[/C][C]6268112.5[/C][C]221515.380006774[/C][C]717600[/C][/ROW]
[ROW][C]3[/C][C]6431695.83333333[/C][C]217278.386270129[/C][C]694525[/C][/ROW]
[ROW][C]4[/C][C]6637122.91666667[/C][C]222304.684820164[/C][C]766350[/C][/ROW]
[ROW][C]5[/C][C]6435947.91666667[/C][C]366082.548977303[/C][C]1315275[/C][/ROW]
[ROW][C]6[/C][C]5857718.75[/C][C]436468.699820841[/C][C]1507350[/C][/ROW]
[ROW][C]7[/C][C]5269414.58333333[/C][C]358941.82382803[/C][C]1291875[/C][/ROW]
[ROW][C]8[/C][C]4465879.16666667[/C][C]500284.2301034[/C][C]1817400[/C][/ROW]
[ROW][C]9[/C][C]3893608.33333333[/C][C]558634.450156375[/C][C]1866150[/C][/ROW]
[ROW][C]10[/C][C]3103993.75[/C][C]618254.27213583[/C][C]2130050[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=280075&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280075&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	6160429.16666667	208766.576868579	622700
2	6268112.5	221515.380006774	717600
3	6431695.83333333	217278.386270129	694525
4	6637122.91666667	222304.684820164	766350
5	6435947.91666667	366082.548977303	1315275
6	5857718.75	436468.699820841	1507350
7	5269414.58333333	358941.82382803	1291875
8	4465879.16666667	500284.2301034	1817400
9	3893608.33333333	558634.450156375	1866150
10	3103993.75	618254.27213583	2130050

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	987801.064982911
beta	-0.113151792219188
S.D.	0.0185894327362386
T-STAT	-6.08688784777213
p-value	0.000293686871073617

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 987801.064982911 \tabularnewline
beta & -0.113151792219188 \tabularnewline
S.D. & 0.0185894327362386 \tabularnewline
T-STAT & -6.08688784777213 \tabularnewline
p-value & 0.000293686871073617 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=280075&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]987801.064982911[/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]-6.08688784777213[/C][/ROW]
[ROW][C]p-value[/C][C]0.000293686871073617[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=280075&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280075&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	987801.064982911
beta	-0.113151792219188
S.D.	0.0185894327362386
T-STAT	-6.08688784777213
p-value	0.000293686871073617

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	34.2031869415862
beta	-1.38589065989076
S.D.	0.316605261909549
T-STAT	-4.37734563074538
p-value	0.00235715681397521
Lambda	2.38589065989076

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 34.2031869415862 \tabularnewline
beta & -1.38589065989076 \tabularnewline
S.D. & 0.316605261909549 \tabularnewline
T-STAT & -4.37734563074538 \tabularnewline
p-value & 0.00235715681397521 \tabularnewline
Lambda & 2.38589065989076 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=280075&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]34.2031869415862[/C][/ROW]
[ROW][C]beta[/C][C]-1.38589065989076[/C][/ROW]
[ROW][C]S.D.[/C][C]0.316605261909549[/C][/ROW]
[ROW][C]T-STAT[/C][C]-4.37734563074538[/C][/ROW]
[ROW][C]p-value[/C][C]0.00235715681397521[/C][/ROW]
[ROW][C]Lambda[/C][C]2.38589065989076[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=280075&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280075&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	34.2031869415862
beta	-1.38589065989076
S.D.	0.316605261909549
T-STAT	-4.37734563074538
p-value	0.00235715681397521
Lambda	2.38589065989076

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