Repository of Reproducible Computations

Free Statistics

of Irreproducible Research!

Author's title

Author

*Unverified author*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Wed, 14 May 2008 06:06:40 -0600

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/2008/May/14/t1210766832gyszax3m352gkcg.htm/, Retrieved Tue, 14 May 2024 12:27:46 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=12526, Retrieved Tue, 14 May 2024 12:27:46 +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

240

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

-       [Standard Deviation-Mean Plot] [inschrijvingsgeld...] [2008-05-14 12:06:40] [359689940591b99e4b3f32f3fb2e21b2] [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	'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 & 1 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=12526&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=12526&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12526&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	'George Udny Yule' @ 72.249.76.132

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	516.8375	6.70711986013237	14.8300000000000
2	530.1225	3.91210969589647	8.64999999999998
3	538.7225	3.82165629252312	8.44999999999993
4	549.855	8.67448138350229	19.1800000000001
5	566.6	4.26940063922111	9.43999999999994
6	574.333333333333	1.18192703461404	2.62000000000000
7	579.681666666667	6.13173686402942	13.5600000000001
8	592.1675	4.19251524635379	9.26999999999998

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 516.8375 & 6.70711986013237 & 14.8300000000000 \tabularnewline
2 & 530.1225 & 3.91210969589647 & 8.64999999999998 \tabularnewline
3 & 538.7225 & 3.82165629252312 & 8.44999999999993 \tabularnewline
4 & 549.855 & 8.67448138350229 & 19.1800000000001 \tabularnewline
5 & 566.6 & 4.26940063922111 & 9.43999999999994 \tabularnewline
6 & 574.333333333333 & 1.18192703461404 & 2.62000000000000 \tabularnewline
7 & 579.681666666667 & 6.13173686402942 & 13.5600000000001 \tabularnewline
8 & 592.1675 & 4.19251524635379 & 9.26999999999998 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=12526&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]516.8375[/C][C]6.70711986013237[/C][C]14.8300000000000[/C][/ROW]
[ROW][C]2[/C][C]530.1225[/C][C]3.91210969589647[/C][C]8.64999999999998[/C][/ROW]
[ROW][C]3[/C][C]538.7225[/C][C]3.82165629252312[/C][C]8.44999999999993[/C][/ROW]
[ROW][C]4[/C][C]549.855[/C][C]8.67448138350229[/C][C]19.1800000000001[/C][/ROW]
[ROW][C]5[/C][C]566.6[/C][C]4.26940063922111[/C][C]9.43999999999994[/C][/ROW]
[ROW][C]6[/C][C]574.333333333333[/C][C]1.18192703461404[/C][C]2.62000000000000[/C][/ROW]
[ROW][C]7[/C][C]579.681666666667[/C][C]6.13173686402942[/C][C]13.5600000000001[/C][/ROW]
[ROW][C]8[/C][C]592.1675[/C][C]4.19251524635379[/C][C]9.26999999999998[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=12526&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12526&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	516.8375	6.70711986013237	14.8300000000000
2	530.1225	3.91210969589647	8.64999999999998
3	538.7225	3.82165629252312	8.44999999999993
4	549.855	8.67448138350229	19.1800000000001
5	566.6	4.26940063922111	9.43999999999994
6	574.333333333333	1.18192703461404	2.62000000000000
7	579.681666666667	6.13173686402942	13.5600000000001
8	592.1675	4.19251524635379	9.26999999999998

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	18.7166510894566
beta	-0.0249177805776968
S.D.	0.0335810446344514
T-STAT	-0.742019220930764
p-value	0.486096398662140

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 18.7166510894566 \tabularnewline
beta & -0.0249177805776968 \tabularnewline
S.D. & 0.0335810446344514 \tabularnewline
T-STAT & -0.742019220930764 \tabularnewline
p-value & 0.486096398662140 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=12526&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]18.7166510894566[/C][/ROW]
[ROW][C]beta[/C][C]-0.0249177805776968[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0335810446344514[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.742019220930764[/C][/ROW]
[ROW][C]p-value[/C][C]0.486096398662140[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=12526&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12526&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	18.7166510894566
beta	-0.0249177805776968
S.D.	0.0335810446344514
T-STAT	-0.742019220930764
p-value	0.486096398662140

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	25.7514380424138
beta	-3.84458685061054
S.D.	4.89058438117923
T-STAT	-0.786120134314813
p-value	0.461705585783435
Lambda	4.84458685061054

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 25.7514380424138 \tabularnewline
beta & -3.84458685061054 \tabularnewline
S.D. & 4.89058438117923 \tabularnewline
T-STAT & -0.786120134314813 \tabularnewline
p-value & 0.461705585783435 \tabularnewline
Lambda & 4.84458685061054 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=12526&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]25.7514380424138[/C][/ROW]
[ROW][C]beta[/C][C]-3.84458685061054[/C][/ROW]
[ROW][C]S.D.[/C][C]4.89058438117923[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.786120134314813[/C][/ROW]
[ROW][C]p-value[/C][C]0.461705585783435[/C][/ROW]
[ROW][C]Lambda[/C][C]4.84458685061054[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=12526&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12526&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	25.7514380424138
beta	-3.84458685061054
S.D.	4.89058438117923
T-STAT	-0.786120134314813
p-value	0.461705585783435
Lambda	4.84458685061054

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