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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, 03 Dec 2010 12:57:01 +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/03/t1291380931rk400020mx89d5z.htm/, Retrieved Tue, 07 May 2024 16:00:01 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=104719, Retrieved Tue, 07 May 2024 16:00:01 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

121

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

-     [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-12 13:32:37] [76963dc1903f0f612b6153510a3818cf]
- R  D  [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-17 12:14:40] [76963dc1903f0f612b6153510a3818cf]
-         [Univariate Explorative Data Analysis] [Run Sequence Plot...] [2008-12-22 18:19:51] [1ce0d16c8f4225c977b42c8fa93bc163]
- RMP       [Univariate Data Series] [Identifying Integ...] [2009-11-22 12:08:06] [b98453cac15ba1066b407e146608df68]
- RMP         [Standard Deviation-Mean Plot] [Births] [2010-11-29 10:52:49] [b98453cac15ba1066b407e146608df68]
- R PD            [Standard Deviation-Mean Plot] [Variantie (Huweli...] [2010-12-03 12:57:01] [3de277db83c2673156e9464be2ef6f69] [Current]
-    D              [Standard Deviation-Mean Plot] [Variantie (Geboor...] [2010-12-03 12:59:17] [8b017ffbf7b0eded54d8efebfb3e4cfa] 

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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	2 seconds
R Server	'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=104719&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=104719&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=104719&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	'George Udny Yule' @ 72.249.76.132

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	3760.25	1789.63516469902	4671
2	3509.16666666667	1598.46095486953	4238
3	3369.5	1621.98629632144	5229
4	3481.41666666667	1541.65881488582	4898
5	3608	1504.04412411097	4176
6	3595.08333333333	1578.13505922387	4233
7	3734.41666666667	1729.94022273673	4697
8	3796.75	1832.93133953636	4911

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 3760.25 & 1789.63516469902 & 4671 \tabularnewline
2 & 3509.16666666667 & 1598.46095486953 & 4238 \tabularnewline
3 & 3369.5 & 1621.98629632144 & 5229 \tabularnewline
4 & 3481.41666666667 & 1541.65881488582 & 4898 \tabularnewline
5 & 3608 & 1504.04412411097 & 4176 \tabularnewline
6 & 3595.08333333333 & 1578.13505922387 & 4233 \tabularnewline
7 & 3734.41666666667 & 1729.94022273673 & 4697 \tabularnewline
8 & 3796.75 & 1832.93133953636 & 4911 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=104719&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]3760.25[/C][C]1789.63516469902[/C][C]4671[/C][/ROW]
[ROW][C]2[/C][C]3509.16666666667[/C][C]1598.46095486953[/C][C]4238[/C][/ROW]
[ROW][C]3[/C][C]3369.5[/C][C]1621.98629632144[/C][C]5229[/C][/ROW]
[ROW][C]4[/C][C]3481.41666666667[/C][C]1541.65881488582[/C][C]4898[/C][/ROW]
[ROW][C]5[/C][C]3608[/C][C]1504.04412411097[/C][C]4176[/C][/ROW]
[ROW][C]6[/C][C]3595.08333333333[/C][C]1578.13505922387[/C][C]4233[/C][/ROW]
[ROW][C]7[/C][C]3734.41666666667[/C][C]1729.94022273673[/C][C]4697[/C][/ROW]
[ROW][C]8[/C][C]3796.75[/C][C]1832.93133953636[/C][C]4911[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=104719&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=104719&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	3760.25	1789.63516469902	4671
2	3509.16666666667	1598.46095486953	4238
3	3369.5	1621.98629632144	5229
4	3481.41666666667	1541.65881488582	4898
5	3608	1504.04412411097	4176
6	3595.08333333333	1578.13505922387	4233
7	3734.41666666667	1729.94022273673	4697
8	3796.75	1832.93133953636	4911

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-462.707899162025
beta	0.585641974949558
S.D.	0.222785785926274
T-STAT	2.62872235100027
p-value	0.0391264780603588

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -462.707899162025 \tabularnewline
beta & 0.585641974949558 \tabularnewline
S.D. & 0.222785785926274 \tabularnewline
T-STAT & 2.62872235100027 \tabularnewline
p-value & 0.0391264780603588 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=104719&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-462.707899162025[/C][/ROW]
[ROW][C]beta[/C][C]0.585641974949558[/C][/ROW]
[ROW][C]S.D.[/C][C]0.222785785926274[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.62872235100027[/C][/ROW]
[ROW][C]p-value[/C][C]0.0391264780603588[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=104719&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=104719&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	-462.707899162025
beta	0.585641974949558
S.D.	0.222785785926274
T-STAT	2.62872235100027
p-value	0.0391264780603588

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-2.62133558443306
beta	1.22436582349513
S.D.	0.495353629979295
T-STAT	2.47170051735828
p-value	0.0483461162772597
Lambda	-0.224365823495125

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -2.62133558443306 \tabularnewline
beta & 1.22436582349513 \tabularnewline
S.D. & 0.495353629979295 \tabularnewline
T-STAT & 2.47170051735828 \tabularnewline
p-value & 0.0483461162772597 \tabularnewline
Lambda & -0.224365823495125 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=104719&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-2.62133558443306[/C][/ROW]
[ROW][C]beta[/C][C]1.22436582349513[/C][/ROW]
[ROW][C]S.D.[/C][C]0.495353629979295[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.47170051735828[/C][/ROW]
[ROW][C]p-value[/C][C]0.0483461162772597[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.224365823495125[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=104719&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=104719&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	-2.62133558443306
beta	1.22436582349513
S.D.	0.495353629979295
T-STAT	2.47170051735828
p-value	0.0483461162772597
Lambda	-0.224365823495125

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