Repository of Reproducible Computations

Free Statistics

of Irreproducible Research!

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

Sun, 19 Dec 2010 15:02:29 +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/19/t1292770837zwzpcci497nxdr4.htm/, Retrieved Sun, 05 May 2024 00:29:40 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=112463, Retrieved Sun, 05 May 2024 00:29:40 +0000

QR Codes:

Paste this QR Code to cite your computation.

Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

152

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

F     [Univariate Data Series] [HPC Retail Sales] [2008-03-02 15:42:48] [74be16979710d4c4e7c6647856088456]
-  MPD  [Univariate Data Series] [WS8 1] [2010-11-30 15:47:30] [07a238a5afc23eb944f8545182f29d5a]
- RMP     [Classical Decomposition] [WS8 2] [2010-11-30 15:54:02] [07a238a5afc23eb944f8545182f29d5a]
- RMPD      [Univariate Data Series] [Statistiek: Werkl...] [2010-12-12 15:20:09] [07a238a5afc23eb944f8545182f29d5a]
-    D        [Univariate Data Series] [Statistiek: Werkl...] [2010-12-14 09:08:05] [07a238a5afc23eb944f8545182f29d5a]
-               [Univariate Data Series] [Statistiek: Werkl...] [2010-12-14 09:12:36] [07a238a5afc23eb944f8545182f29d5a]
- RMPD            [Classical Decomposition] [statistiek classi...] [2010-12-19 09:09:14] [07a238a5afc23eb944f8545182f29d5a]
- RMP               [(Partial) Autocorrelation Function] [Statistiek: ACF D...] [2010-12-19 10:44:26] [07a238a5afc23eb944f8545182f29d5a]
-   P                 [(Partial) Autocorrelation Function] [Statistiek: ACF D...] [2010-12-19 12:30:15] [07a238a5afc23eb944f8545182f29d5a]
-   P                   [(Partial) Autocorrelation Function] [Statistiek: ACF D...] [2010-12-19 12:34:49] [07a238a5afc23eb944f8545182f29d5a]
- RMP                       [Standard Deviation-Mean Plot] [statistiek: stada...] [2010-12-19 15:02:29] [67e3c2d70de1dbb070b545ca6c893d5e] [Current]
- RMP                         [ARIMA Backward Selection] [Statistiek: Arima...] [2010-12-20 19:29:57] [07a238a5afc23eb944f8545182f29d5a] 
- RMP                           [ARIMA Forecasting] [statistiek: Arima...] [2010-12-20 19:46:41] [07a238a5afc23eb944f8545182f29d5a] 

Feedback Forum

Post a new message

Dataseries X:

Download CSV

Histogram

Boxplots

6.5
6.3
5.9
5.5
5.2
4.9
5.4
5.8
5.7
5.6
5.5
5.4
5.4
5.4
5.5
5.8
5.7
5.4
5.6
5.8
6.2
6.8
6.7
6.7
6.4
6.3
6.3
6.4
6.3
6
6.3
6.3
6.6
7.5
7.8
7.9
7.8
7.6
7.5
7.6
7.5
7.3
7.6
7.5
7.6
7.9
7.9
8.1
8.2
8
7.5
6.8
6.5
6.6
7.6
8
8.1
7.7
7.5
7.6
7.8
7.8
7.8
7.5
7.5
7.1
7.5
7.5
7.6
7.7
7.7
7.9
8.1
8.2
8.2
8.2
7.9
7.3
6.9
6.6
6.7
6.9
7
7.1
7.2
7.1
6.9
7
6.8
6.4
6.7
6.6
6.4
6.3
6.2
6.5
6.8
6.8
6.4
6.1
5.8
6.1
7.2
7.3
6.9
6.1
5.8
6.2
7.1
7.7
8
7.8
7.4
7.4
7.7
7.8
7.8
8
8.1
8.4

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=112463&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=112463&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=112463&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	5.64166666666667	0.444068654260768	1.6
2	5.91666666666667	0.542441171227281	1.4
3	6.675	0.657992815655722	1.9
4	7.65833333333333	0.223437334445796	0.8
5	7.50833333333333	0.580686636402948	1.7
6	7.61666666666667	0.216724933890166	0.8
7	7.425	0.642615394660403	1.6
8	6.675	0.3278719262151	1
9	6.45833333333333	0.523030215246315	1.5
10	7.76666666666667	0.349891758154208	1.3

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 5.64166666666667 & 0.444068654260768 & 1.6 \tabularnewline
2 & 5.91666666666667 & 0.542441171227281 & 1.4 \tabularnewline
3 & 6.675 & 0.657992815655722 & 1.9 \tabularnewline
4 & 7.65833333333333 & 0.223437334445796 & 0.8 \tabularnewline
5 & 7.50833333333333 & 0.580686636402948 & 1.7 \tabularnewline
6 & 7.61666666666667 & 0.216724933890166 & 0.8 \tabularnewline
7 & 7.425 & 0.642615394660403 & 1.6 \tabularnewline
8 & 6.675 & 0.3278719262151 & 1 \tabularnewline
9 & 6.45833333333333 & 0.523030215246315 & 1.5 \tabularnewline
10 & 7.76666666666667 & 0.349891758154208 & 1.3 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=112463&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]5.64166666666667[/C][C]0.444068654260768[/C][C]1.6[/C][/ROW]
[ROW][C]2[/C][C]5.91666666666667[/C][C]0.542441171227281[/C][C]1.4[/C][/ROW]
[ROW][C]3[/C][C]6.675[/C][C]0.657992815655722[/C][C]1.9[/C][/ROW]
[ROW][C]4[/C][C]7.65833333333333[/C][C]0.223437334445796[/C][C]0.8[/C][/ROW]
[ROW][C]5[/C][C]7.50833333333333[/C][C]0.580686636402948[/C][C]1.7[/C][/ROW]
[ROW][C]6[/C][C]7.61666666666667[/C][C]0.216724933890166[/C][C]0.8[/C][/ROW]
[ROW][C]7[/C][C]7.425[/C][C]0.642615394660403[/C][C]1.6[/C][/ROW]
[ROW][C]8[/C][C]6.675[/C][C]0.3278719262151[/C][C]1[/C][/ROW]
[ROW][C]9[/C][C]6.45833333333333[/C][C]0.523030215246315[/C][C]1.5[/C][/ROW]
[ROW][C]10[/C][C]7.76666666666667[/C][C]0.349891758154208[/C][C]1.3[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=112463&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=112463&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	5.64166666666667	0.444068654260768	1.6
2	5.91666666666667	0.542441171227281	1.4
3	6.675	0.657992815655722	1.9
4	7.65833333333333	0.223437334445796	0.8
5	7.50833333333333	0.580686636402948	1.7
6	7.61666666666667	0.216724933890166	0.8
7	7.425	0.642615394660403	1.6
8	6.675	0.3278719262151	1
9	6.45833333333333	0.523030215246315	1.5
10	7.76666666666667	0.349891758154208	1.3

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	0.946699451283936
beta	-0.0715043913858525
S.D.	0.0710437594443817
T-STAT	-1.00648377767552
p-value	0.343651557014323

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.946699451283936 \tabularnewline
beta & -0.0715043913858525 \tabularnewline
S.D. & 0.0710437594443817 \tabularnewline
T-STAT & -1.00648377767552 \tabularnewline
p-value & 0.343651557014323 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=112463&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.946699451283936[/C][/ROW]
[ROW][C]beta[/C][C]-0.0715043913858525[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0710437594443817[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.00648377767552[/C][/ROW]
[ROW][C]p-value[/C][C]0.343651557014323[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=112463&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=112463&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	0.946699451283936
beta	-0.0715043913858525
S.D.	0.0710437594443817
T-STAT	-1.00648377767552
p-value	0.343651557014323

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	1.85107008275693
beta	-1.40776576763825
S.D.	1.17452823612324
T-STAT	-1.19857975682633
p-value	0.264989079993339
Lambda	2.40776576763825

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 1.85107008275693 \tabularnewline
beta & -1.40776576763825 \tabularnewline
S.D. & 1.17452823612324 \tabularnewline
T-STAT & -1.19857975682633 \tabularnewline
p-value & 0.264989079993339 \tabularnewline
Lambda & 2.40776576763825 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=112463&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]1.85107008275693[/C][/ROW]
[ROW][C]beta[/C][C]-1.40776576763825[/C][/ROW]
[ROW][C]S.D.[/C][C]1.17452823612324[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.19857975682633[/C][/ROW]
[ROW][C]p-value[/C][C]0.264989079993339[/C][/ROW]
[ROW][C]Lambda[/C][C]2.40776576763825[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=112463&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=112463&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	1.85107008275693
beta	-1.40776576763825
S.D.	1.17452823612324
T-STAT	-1.19857975682633
p-value	0.264989079993339
Lambda	2.40776576763825

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