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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

Tue, 04 Dec 2012 15:05:02 -0500

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/2012/Dec/04/t13546515224qhz1ufbnjbknm7.htm/, Retrieved Fri, 19 Apr 2024 18:43:20 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=196576, Retrieved Fri, 19 Apr 2024 18:43:20 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

107

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]
- R PD    [Standard Deviation-Mean Plot] [WS9 3.2 SMP] [2010-12-07 14:36:57] [afe9379cca749d06b3d6872e02cc47ed]
- R         [Standard Deviation-Mean Plot] [WS 9 - Stat vd va...] [2012-12-04 18:46:09] [74be16979710d4c4e7c6647856088456]
- R             [Standard Deviation-Mean Plot] [] [2012-12-04 20:05:02] [d41d8cd98f00b204e9800998ecf8427e] [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	3 seconds
R Server	'Sir Ronald Aylmer Fisher' @ fisher.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 & 3 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=196576&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=196576&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=196576&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	3 seconds
R Server	'Sir Ronald Aylmer Fisher' @ fisher.wessa.net

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
7	8465.58333333333	667.755188990877	2026
8	8388.16666666667	635.57430483752	1886

\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
7 & 8465.58333333333 & 667.755188990877 & 2026 \tabularnewline
8 & 8388.16666666667 & 635.57430483752 & 1886 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=196576&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]
[ROW][C]7[/C][C]8465.58333333333[/C][C]667.755188990877[/C][C]2026[/C][/ROW]
[ROW][C]8[/C][C]8388.16666666667[/C][C]635.57430483752[/C][C]1886[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=196576&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=196576&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
7	8465.58333333333	667.755188990877	2026
8	8388.16666666667	635.57430483752	1886

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-2238.21695526868
beta	0.351772403073509
S.D.	0.352790507867047
T-STAT	0.997114137793294
p-value	0.357207458439898

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -2238.21695526868 \tabularnewline
beta & 0.351772403073509 \tabularnewline
S.D. & 0.352790507867047 \tabularnewline
T-STAT & 0.997114137793294 \tabularnewline
p-value & 0.357207458439898 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=196576&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-2238.21695526868[/C][/ROW]
[ROW][C]beta[/C][C]0.351772403073509[/C][/ROW]
[ROW][C]S.D.[/C][C]0.352790507867047[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.997114137793294[/C][/ROW]
[ROW][C]p-value[/C][C]0.357207458439898[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=196576&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=196576&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	-2238.21695526868
beta	0.351772403073509
S.D.	0.352790507867047
T-STAT	0.997114137793294
p-value	0.357207458439898

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-28.1539207058289
beta	3.84174529773891
S.D.	3.60723901824989
T-STAT	1.06500990877028
p-value	0.32784139799817
Lambda	-2.84174529773891

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -28.1539207058289 \tabularnewline
beta & 3.84174529773891 \tabularnewline
S.D. & 3.60723901824989 \tabularnewline
T-STAT & 1.06500990877028 \tabularnewline
p-value & 0.32784139799817 \tabularnewline
Lambda & -2.84174529773891 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=196576&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-28.1539207058289[/C][/ROW]
[ROW][C]beta[/C][C]3.84174529773891[/C][/ROW]
[ROW][C]S.D.[/C][C]3.60723901824989[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.06500990877028[/C][/ROW]
[ROW][C]p-value[/C][C]0.32784139799817[/C][/ROW]
[ROW][C]Lambda[/C][C]-2.84174529773891[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=196576&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=196576&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	-28.1539207058289
beta	3.84174529773891
S.D.	3.60723901824989
T-STAT	1.06500990877028
p-value	0.32784139799817
Lambda	-2.84174529773891

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