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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

Wed, 21 Dec 2016 14:08:00 +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/21/t1482325699fl4gvh8crtr8256.htm/, Retrieved Tue, 07 May 2024 03:05:49 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=302256, Retrieved Tue, 07 May 2024 03:05:49 +0000

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Estimated Impact

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

-     [ARIMA Forecasting] [ ARIMA FORECAST] [2016-12-15 19:00:32] [d1d385d9b7e195437bdc484ddbefdda4]
- RMPD  [ARIMA Backward Selection] [Arima Backward Se...] [2016-12-19 20:48:05] [d1d385d9b7e195437bdc484ddbefdda4]
- RMP       [Standard Deviation-Mean Plot] [Standard Deviation ] [2016-12-21 13:08:00] [b95f76f605693b3a3343a287ab24f42a] [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=302256&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=302256&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302256&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	3650	358.659118992343	1150
2	4008.33333333333	292.196488477853	850
3	4183.33333333333	209.255534664866	650
4	4466.66666666667	357.601437187811	1100
5	5008.33333333333	463.108731260486	1450
6	5904.16666666667	425.044560943766	1450
7	6320.83333333333	485.451211542292	1600
8	6812.5	674.578993285307	2100
9	7429.16666666667	683.725866562075	2550

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 3650 & 358.659118992343 & 1150 \tabularnewline
2 & 4008.33333333333 & 292.196488477853 & 850 \tabularnewline
3 & 4183.33333333333 & 209.255534664866 & 650 \tabularnewline
4 & 4466.66666666667 & 357.601437187811 & 1100 \tabularnewline
5 & 5008.33333333333 & 463.108731260486 & 1450 \tabularnewline
6 & 5904.16666666667 & 425.044560943766 & 1450 \tabularnewline
7 & 6320.83333333333 & 485.451211542292 & 1600 \tabularnewline
8 & 6812.5 & 674.578993285307 & 2100 \tabularnewline
9 & 7429.16666666667 & 683.725866562075 & 2550 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302256&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]3650[/C][C]358.659118992343[/C][C]1150[/C][/ROW]
[ROW][C]2[/C][C]4008.33333333333[/C][C]292.196488477853[/C][C]850[/C][/ROW]
[ROW][C]3[/C][C]4183.33333333333[/C][C]209.255534664866[/C][C]650[/C][/ROW]
[ROW][C]4[/C][C]4466.66666666667[/C][C]357.601437187811[/C][C]1100[/C][/ROW]
[ROW][C]5[/C][C]5008.33333333333[/C][C]463.108731260486[/C][C]1450[/C][/ROW]
[ROW][C]6[/C][C]5904.16666666667[/C][C]425.044560943766[/C][C]1450[/C][/ROW]
[ROW][C]7[/C][C]6320.83333333333[/C][C]485.451211542292[/C][C]1600[/C][/ROW]
[ROW][C]8[/C][C]6812.5[/C][C]674.578993285307[/C][C]2100[/C][/ROW]
[ROW][C]9[/C][C]7429.16666666667[/C][C]683.725866562075[/C][C]2550[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=302256&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302256&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	3650	358.659118992343	1150
2	4008.33333333333	292.196488477853	850
3	4183.33333333333	209.255534664866	650
4	4466.66666666667	357.601437187811	1100
5	5008.33333333333	463.108731260486	1450
6	5904.16666666667	425.044560943766	1450
7	6320.83333333333	485.451211542292	1600
8	6812.5	674.578993285307	2100
9	7429.16666666667	683.725866562075	2550

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-125.228135092674
beta	0.106243637783415
S.D.	0.0198593709951255
T-STAT	5.34979873277423
p-value	0.00106443205940107

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -125.228135092674 \tabularnewline
beta & 0.106243637783415 \tabularnewline
S.D. & 0.0198593709951255 \tabularnewline
T-STAT & 5.34979873277423 \tabularnewline
p-value & 0.00106443205940107 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302256&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-125.228135092674[/C][/ROW]
[ROW][C]beta[/C][C]0.106243637783415[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0198593709951255[/C][/ROW]
[ROW][C]T-STAT[/C][C]5.34979873277423[/C][/ROW]
[ROW][C]p-value[/C][C]0.00106443205940107[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=302256&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302256&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	-125.228135092674
beta	0.106243637783415
S.D.	0.0198593709951255
T-STAT	5.34979873277423
p-value	0.00106443205940107

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-4.73827051445336
beta	1.25877090921538
S.D.	0.304005391019659
T-STAT	4.14062035213706
p-value	0.00434579152373506
Lambda	-0.258770909215385

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -4.73827051445336 \tabularnewline
beta & 1.25877090921538 \tabularnewline
S.D. & 0.304005391019659 \tabularnewline
T-STAT & 4.14062035213706 \tabularnewline
p-value & 0.00434579152373506 \tabularnewline
Lambda & -0.258770909215385 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302256&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-4.73827051445336[/C][/ROW]
[ROW][C]beta[/C][C]1.25877090921538[/C][/ROW]
[ROW][C]S.D.[/C][C]0.304005391019659[/C][/ROW]
[ROW][C]T-STAT[/C][C]4.14062035213706[/C][/ROW]
[ROW][C]p-value[/C][C]0.00434579152373506[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.258770909215385[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=302256&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302256&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	-4.73827051445336
beta	1.25877090921538
S.D.	0.304005391019659
T-STAT	4.14062035213706
p-value	0.00434579152373506
Lambda	-0.258770909215385

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 1 ; par2 = 2 ; par3 = 3 ; par4 = TRUE ;

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