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

Mon, 14 Dec 2009 01:50:09 -0700

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/2009/Dec/14/t1260781077fjt8cikbh20drzv.htm/, Retrieved Sun, 05 May 2024 09:27:19 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=67447, Retrieved Sun, 05 May 2024 09:27:19 +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

141

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       [Standard Deviation-Mean Plot] [Identifying Integ...] [2009-11-22 12:50:05] [b98453cac15ba1066b407e146608df68]
-   PD        [Standard Deviation-Mean Plot] [WS 8: SMP] [2009-11-27 14:23:53] [b97b96148b0223bc16666763988dc147]
-   PD            [Standard Deviation-Mean Plot] [Paper: Standard D...] [2009-12-14 08:50:09] [17b3de9cda9f51722106e41c76160a49] [Current]

Feedback Forum

Post a new message

Dataseries X:

Download CSV

Histogram

Boxplots

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	'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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=67447&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=67447&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=67447&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	'Gwilym Jenkins' @ 72.249.127.135

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	451	13.7906424136738	40
2	464.416666666667	5.94609624931018	17
3	451.416666666667	17.9416140620490	52
4	411.916666666667	11.5322341392474	37
5	408.833333333333	14.9169417614721	45

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 451 & 13.7906424136738 & 40 \tabularnewline
2 & 464.416666666667 & 5.94609624931018 & 17 \tabularnewline
3 & 451.416666666667 & 17.9416140620490 & 52 \tabularnewline
4 & 411.916666666667 & 11.5322341392474 & 37 \tabularnewline
5 & 408.833333333333 & 14.9169417614721 & 45 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=67447&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]451[/C][C]13.7906424136738[/C][C]40[/C][/ROW]
[ROW][C]2[/C][C]464.416666666667[/C][C]5.94609624931018[/C][C]17[/C][/ROW]
[ROW][C]3[/C][C]451.416666666667[/C][C]17.9416140620490[/C][C]52[/C][/ROW]
[ROW][C]4[/C][C]411.916666666667[/C][C]11.5322341392474[/C][C]37[/C][/ROW]
[ROW][C]5[/C][C]408.833333333333[/C][C]14.9169417614721[/C][C]45[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=67447&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=67447&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	451	13.7906424136738	40
2	464.416666666667	5.94609624931018	17
3	451.416666666667	17.9416140620490	52
4	411.916666666667	11.5322341392474	37
5	408.833333333333	14.9169417614721	45

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	34.5272738822616
beta	-0.0496021518961816
S.D.	0.097933331966281
T-STAT	-0.506488964485145
p-value	0.647391659086193

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 34.5272738822616 \tabularnewline
beta & -0.0496021518961816 \tabularnewline
S.D. & 0.097933331966281 \tabularnewline
T-STAT & -0.506488964485145 \tabularnewline
p-value & 0.647391659086193 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=67447&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]34.5272738822616[/C][/ROW]
[ROW][C]beta[/C][C]-0.0496021518961816[/C][/ROW]
[ROW][C]S.D.[/C][C]0.097933331966281[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.506488964485145[/C][/ROW]
[ROW][C]p-value[/C][C]0.647391659086193[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=67447&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=67447&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	34.5272738822616
beta	-0.0496021518961816
S.D.	0.097933331966281
T-STAT	-0.506488964485145
p-value	0.647391659086193

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	19.1185626040758
beta	-2.73535160577658
S.D.	3.88834544264035
T-STAT	-0.703474433053242
p-value	0.532442398177235
Lambda	3.73535160577658

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 19.1185626040758 \tabularnewline
beta & -2.73535160577658 \tabularnewline
S.D. & 3.88834544264035 \tabularnewline
T-STAT & -0.703474433053242 \tabularnewline
p-value & 0.532442398177235 \tabularnewline
Lambda & 3.73535160577658 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=67447&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]19.1185626040758[/C][/ROW]
[ROW][C]beta[/C][C]-2.73535160577658[/C][/ROW]
[ROW][C]S.D.[/C][C]3.88834544264035[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.703474433053242[/C][/ROW]
[ROW][C]p-value[/C][C]0.532442398177235[/C][/ROW]
[ROW][C]Lambda[/C][C]3.73535160577658[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=67447&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=67447&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	19.1185626040758
beta	-2.73535160577658
S.D.	3.88834544264035
T-STAT	-0.703474433053242
p-value	0.532442398177235
Lambda	3.73535160577658

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