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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

Sun, 16 Aug 2015 17:26:30 +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/16/t14397424151sx0u2oj53cm2ep.htm/, Retrieved Sat, 18 May 2024 23:05:40 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=280179, Retrieved Sat, 18 May 2024 23:05:40 +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)

-       [Standard Deviation-Mean Plot] [] [2015-08-16 16:26:30] [f898ec974b62c60a8bec4044c4c271e3] [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=280179&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=280179&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280179&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	1661183.33333333	207122.001084707	772200
2	1618283.33333333	282457.223900068	1029600
3	1549166.66666667	303124.023022481	1001000
4	1563466.66666667	332040.800705777	1229800
5	1551550	392356.712699044	1315600
6	1596833.33333333	394946.190427675	1315600
7	1627816.66666667	386693.371204283	1430000
8	1646883.33333333	415431.538683973	1430000
9	1634966.66666667	453163.914420967	1601600

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 1661183.33333333 & 207122.001084707 & 772200 \tabularnewline
2 & 1618283.33333333 & 282457.223900068 & 1029600 \tabularnewline
3 & 1549166.66666667 & 303124.023022481 & 1001000 \tabularnewline
4 & 1563466.66666667 & 332040.800705777 & 1229800 \tabularnewline
5 & 1551550 & 392356.712699044 & 1315600 \tabularnewline
6 & 1596833.33333333 & 394946.190427675 & 1315600 \tabularnewline
7 & 1627816.66666667 & 386693.371204283 & 1430000 \tabularnewline
8 & 1646883.33333333 & 415431.538683973 & 1430000 \tabularnewline
9 & 1634966.66666667 & 453163.914420967 & 1601600 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=280179&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]1661183.33333333[/C][C]207122.001084707[/C][C]772200[/C][/ROW]
[ROW][C]2[/C][C]1618283.33333333[/C][C]282457.223900068[/C][C]1029600[/C][/ROW]
[ROW][C]3[/C][C]1549166.66666667[/C][C]303124.023022481[/C][C]1001000[/C][/ROW]
[ROW][C]4[/C][C]1563466.66666667[/C][C]332040.800705777[/C][C]1229800[/C][/ROW]
[ROW][C]5[/C][C]1551550[/C][C]392356.712699044[/C][C]1315600[/C][/ROW]
[ROW][C]6[/C][C]1596833.33333333[/C][C]394946.190427675[/C][C]1315600[/C][/ROW]
[ROW][C]7[/C][C]1627816.66666667[/C][C]386693.371204283[/C][C]1430000[/C][/ROW]
[ROW][C]8[/C][C]1646883.33333333[/C][C]415431.538683973[/C][C]1430000[/C][/ROW]
[ROW][C]9[/C][C]1634966.66666667[/C][C]453163.914420967[/C][C]1601600[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=280179&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280179&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	1661183.33333333	207122.001084707	772200
2	1618283.33333333	282457.223900068	1029600
3	1549166.66666667	303124.023022481	1001000
4	1563466.66666667	332040.800705777	1229800
5	1551550	392356.712699044	1315600
6	1596833.33333333	394946.190427675	1315600
7	1627816.66666667	386693.371204283	1430000
8	1646883.33333333	415431.538683973	1430000
9	1634966.66666667	453163.914420967	1601600

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	524442.230545732
beta	-0.107448317059865
S.D.	0.68875700161761
T-STAT	-0.156003230177715
p-value	0.88043412050898

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 524442.230545732 \tabularnewline
beta & -0.107448317059865 \tabularnewline
S.D. & 0.68875700161761 \tabularnewline
T-STAT & -0.156003230177715 \tabularnewline
p-value & 0.88043412050898 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=280179&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]524442.230545732[/C][/ROW]
[ROW][C]beta[/C][C]-0.107448317059865[/C][/ROW]
[ROW][C]S.D.[/C][C]0.68875700161761[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.156003230177715[/C][/ROW]
[ROW][C]p-value[/C][C]0.88043412050898[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=280179&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280179&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	524442.230545732
beta	-0.107448317059865
S.D.	0.68875700161761
T-STAT	-0.156003230177715
p-value	0.88043412050898

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	31.2696098924493
beta	-1.29633550728187
S.D.	3.4558277278626
T-STAT	-0.375115778147784
p-value	0.718681736243463
Lambda	2.29633550728187

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 31.2696098924493 \tabularnewline
beta & -1.29633550728187 \tabularnewline
S.D. & 3.4558277278626 \tabularnewline
T-STAT & -0.375115778147784 \tabularnewline
p-value & 0.718681736243463 \tabularnewline
Lambda & 2.29633550728187 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=280179&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]31.2696098924493[/C][/ROW]
[ROW][C]beta[/C][C]-1.29633550728187[/C][/ROW]
[ROW][C]S.D.[/C][C]3.4558277278626[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.375115778147784[/C][/ROW]
[ROW][C]p-value[/C][C]0.718681736243463[/C][/ROW]
[ROW][C]Lambda[/C][C]2.29633550728187[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=280179&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280179&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	31.2696098924493
beta	-1.29633550728187
S.D.	3.4558277278626
T-STAT	-0.375115778147784
p-value	0.718681736243463
Lambda	2.29633550728187

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