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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

Sat, 10 Dec 2016 11:36:43 +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/2016/Dec/10/t1481366277wu5jtfg605aap17.htm/, Retrieved Mon, 06 May 2024 07:16:21 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=298629, Retrieved Mon, 06 May 2024 07:16:21 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

106

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

F     [Univariate Data Series] [HPC Retail Sales] [2008-03-02 15:42:48] [74be16979710d4c4e7c6647856088456]
- RMPD    [Standard Deviation-Mean Plot] [N1993 Standard de...] [2016-12-10 10:36:43] [1eb03b74c4069f30e782d39ada1a3213] [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=298629&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=298629&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298629&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	7764.16666666667	660.519194316566	2395
2	8189.16666666667	415.877130747518	1325
3	7934.58333333333	384.290718155677	1205
4	6583.75	703.239662367868	1955
5	5813.33333333333	468.238154892326	1450
6	6959.16666666667	501.755252422267	1685
7	7215.83333333333	554.853925630772	1520
8	6036.25	422.77290809391	1360
9	6706.66666666667	431.631857728389	1210
10	7009.16666666667	369.734753409506	1150

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 7764.16666666667 & 660.519194316566 & 2395 \tabularnewline
2 & 8189.16666666667 & 415.877130747518 & 1325 \tabularnewline
3 & 7934.58333333333 & 384.290718155677 & 1205 \tabularnewline
4 & 6583.75 & 703.239662367868 & 1955 \tabularnewline
5 & 5813.33333333333 & 468.238154892326 & 1450 \tabularnewline
6 & 6959.16666666667 & 501.755252422267 & 1685 \tabularnewline
7 & 7215.83333333333 & 554.853925630772 & 1520 \tabularnewline
8 & 6036.25 & 422.77290809391 & 1360 \tabularnewline
9 & 6706.66666666667 & 431.631857728389 & 1210 \tabularnewline
10 & 7009.16666666667 & 369.734753409506 & 1150 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298629&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]7764.16666666667[/C][C]660.519194316566[/C][C]2395[/C][/ROW]
[ROW][C]2[/C][C]8189.16666666667[/C][C]415.877130747518[/C][C]1325[/C][/ROW]
[ROW][C]3[/C][C]7934.58333333333[/C][C]384.290718155677[/C][C]1205[/C][/ROW]
[ROW][C]4[/C][C]6583.75[/C][C]703.239662367868[/C][C]1955[/C][/ROW]
[ROW][C]5[/C][C]5813.33333333333[/C][C]468.238154892326[/C][C]1450[/C][/ROW]
[ROW][C]6[/C][C]6959.16666666667[/C][C]501.755252422267[/C][C]1685[/C][/ROW]
[ROW][C]7[/C][C]7215.83333333333[/C][C]554.853925630772[/C][C]1520[/C][/ROW]
[ROW][C]8[/C][C]6036.25[/C][C]422.77290809391[/C][C]1360[/C][/ROW]
[ROW][C]9[/C][C]6706.66666666667[/C][C]431.631857728389[/C][C]1210[/C][/ROW]
[ROW][C]10[/C][C]7009.16666666667[/C][C]369.734753409506[/C][C]1150[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298629&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298629&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	7764.16666666667	660.519194316566	2395
2	8189.16666666667	415.877130747518	1325
3	7934.58333333333	384.290718155677	1205
4	6583.75	703.239662367868	1955
5	5813.33333333333	468.238154892326	1450
6	6959.16666666667	501.755252422267	1685
7	7215.83333333333	554.853925630772	1520
8	6036.25	422.77290809391	1360
9	6706.66666666667	431.631857728389	1210
10	7009.16666666667	369.734753409506	1150

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	523.797946696036
beta	-0.00462977159718086
S.D.	0.0517949544098676
T-STAT	-0.0893865367762315
p-value	0.930972023903439

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 523.797946696036 \tabularnewline
beta & -0.00462977159718086 \tabularnewline
S.D. & 0.0517949544098676 \tabularnewline
T-STAT & -0.0893865367762315 \tabularnewline
p-value & 0.930972023903439 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298629&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]523.797946696036[/C][/ROW]
[ROW][C]beta[/C][C]-0.00462977159718086[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0517949544098676[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.0893865367762315[/C][/ROW]
[ROW][C]p-value[/C][C]0.930972023903439[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298629&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298629&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	523.797946696036
beta	-0.00462977159718086
S.D.	0.0517949544098676
T-STAT	-0.0893865367762315
p-value	0.930972023903439

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	6.86786061190629
beta	-0.0783536307142671
S.D.	0.691619875271362
T-STAT	-0.113290021752953
p-value	0.912592015007077
Lambda	1.07835363071427

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 6.86786061190629 \tabularnewline
beta & -0.0783536307142671 \tabularnewline
S.D. & 0.691619875271362 \tabularnewline
T-STAT & -0.113290021752953 \tabularnewline
p-value & 0.912592015007077 \tabularnewline
Lambda & 1.07835363071427 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298629&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]6.86786061190629[/C][/ROW]
[ROW][C]beta[/C][C]-0.0783536307142671[/C][/ROW]
[ROW][C]S.D.[/C][C]0.691619875271362[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.113290021752953[/C][/ROW]
[ROW][C]p-value[/C][C]0.912592015007077[/C][/ROW]
[ROW][C]Lambda[/C][C]1.07835363071427[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298629&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298629&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	6.86786061190629
beta	-0.0783536307142671
S.D.	0.691619875271362
T-STAT	-0.113290021752953
p-value	0.912592015007077
Lambda	1.07835363071427

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