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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

Fri, 24 Dec 2010 12:51:51 +0000

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/2010/Dec/24/t1293195044tqnbimk8527gkwz.htm/, Retrieved Tue, 30 Apr 2024 03:36:21 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=114881, Retrieved Tue, 30 Apr 2024 03:36:21 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

125

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

-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Standard Deviation-Mean Plot] [Unemployment] [2010-11-29 10:34:47] [b98453cac15ba1066b407e146608df68]
-   PD    [Standard Deviation-Mean Plot] [WS 9.6] [2010-12-07 19:03:04] [b1e5ec7263cdefe98ec76e1a1363de05]
-    D        [Standard Deviation-Mean Plot] [SMP] [2010-12-24 12:51:51] [cda497ce08bc921f0aec22acd67c882b] [Current]

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Boxplots

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

\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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=114881&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=114881&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114881&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	2 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	8741.91666666667	1094.68081344899	4275
2	8620.58333333333	668.032995692079	2366
3	8803.5	881.878212577101	3290
4	8919.91666666667	695.551770288535	2222
5	8495.5	756.642043385234	2622
6	8606.5	981.102024163737	2895

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 8741.91666666667 & 1094.68081344899 & 4275 \tabularnewline
2 & 8620.58333333333 & 668.032995692079 & 2366 \tabularnewline
3 & 8803.5 & 881.878212577101 & 3290 \tabularnewline
4 & 8919.91666666667 & 695.551770288535 & 2222 \tabularnewline
5 & 8495.5 & 756.642043385234 & 2622 \tabularnewline
6 & 8606.5 & 981.102024163737 & 2895 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=114881&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]8741.91666666667[/C][C]1094.68081344899[/C][C]4275[/C][/ROW]
[ROW][C]2[/C][C]8620.58333333333[/C][C]668.032995692079[/C][C]2366[/C][/ROW]
[ROW][C]3[/C][C]8803.5[/C][C]881.878212577101[/C][C]3290[/C][/ROW]
[ROW][C]4[/C][C]8919.91666666667[/C][C]695.551770288535[/C][C]2222[/C][/ROW]
[ROW][C]5[/C][C]8495.5[/C][C]756.642043385234[/C][C]2622[/C][/ROW]
[ROW][C]6[/C][C]8606.5[/C][C]981.102024163737[/C][C]2895[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=114881&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114881&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	8741.91666666667	1094.68081344899	4275
2	8620.58333333333	668.032995692079	2366
3	8803.5	881.878212577101	3290
4	8919.91666666667	695.551770288535	2222
5	8495.5	756.642043385234	2622
6	8606.5	981.102024163737	2895

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	784.951313383118
beta	0.00705488938385101
S.D.	0.552461103377964
T-STAT	0.0127699295764257
p-value	0.990422878179766

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 784.951313383118 \tabularnewline
beta & 0.00705488938385101 \tabularnewline
S.D. & 0.552461103377964 \tabularnewline
T-STAT & 0.0127699295764257 \tabularnewline
p-value & 0.990422878179766 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=114881&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]784.951313383118[/C][/ROW]
[ROW][C]beta[/C][C]0.00705488938385101[/C][/ROW]
[ROW][C]S.D.[/C][C]0.552461103377964[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.0127699295764257[/C][/ROW]
[ROW][C]p-value[/C][C]0.990422878179766[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=114881&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114881&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	784.951313383118
beta	0.00705488938385101
S.D.	0.552461103377964
T-STAT	0.0127699295764257
p-value	0.990422878179766

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	6.5661478715981
beta	0.0174553372881515
S.D.	5.60636533302758
T-STAT	0.00311348552070279
p-value	0.997664890575317
Lambda	0.982544662711848

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 6.5661478715981 \tabularnewline
beta & 0.0174553372881515 \tabularnewline
S.D. & 5.60636533302758 \tabularnewline
T-STAT & 0.00311348552070279 \tabularnewline
p-value & 0.997664890575317 \tabularnewline
Lambda & 0.982544662711848 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=114881&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]6.5661478715981[/C][/ROW]
[ROW][C]beta[/C][C]0.0174553372881515[/C][/ROW]
[ROW][C]S.D.[/C][C]5.60636533302758[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.00311348552070279[/C][/ROW]
[ROW][C]p-value[/C][C]0.997664890575317[/C][/ROW]
[ROW][C]Lambda[/C][C]0.982544662711848[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=114881&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114881&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	6.5661478715981
beta	0.0174553372881515
S.D.	5.60636533302758
T-STAT	0.00311348552070279
p-value	0.997664890575317
Lambda	0.982544662711848

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