FreeStatistics.org

Free Statistics

of Irreproducible Research!

Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationSat, 26 May 2012 14:14:42 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/May/26/t1338056104nvwecrb3jm0zfyf.htm/, Retrieved Thu, 02 May 2024 19:41:23 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=167634, Retrieved Thu, 02 May 2024 19:41:23 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact67

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Standard Deviation-Mean Plot] [Standard Deviatio...] [2012-05-26 18:14:42] [bc909d11ab9ae813672fa3903785080c] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
804.7
984.8
904.7
244.7
804.6
254.6
184.7
354.7
204.5
624.4
964.5
324.4
24.6
414.5
884.4
84.5
504.4
194.6
804.7
824.6
144.7
764.7
864.7
5
715
214.9
435.1
295
205.4
845.6
155.8
646.1
876.1
216.5
906.8
257.3
227.8
168.3
808.7
558.9
29.4
749.5
239.5
249.6
259.8
2710
829.9
259.9
179.7
319.8
469.8
789.9
309.6
689.4
269.5
279.6
379.5
469.5
619.8
419.4
419.1
959
148.9
149
659
729.1
739.1
659.1
619
598.9
498.7
398.5

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ jenkins.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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=167634&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' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=167634&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=167634&T=0

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1554.608333333333322.485826209557800.1
2459.616666666667356.750523560381879.4
3480.8295.662691715961751
4590.941666666667720.2392954091822680.6
5432.958333333333184.935612669203610.2
6548.116666666667239.39526779455810.1

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 554.608333333333 & 322.485826209557 & 800.1 \tabularnewline
2 & 459.616666666667 & 356.750523560381 & 879.4 \tabularnewline
3 & 480.8 & 295.662691715961 & 751 \tabularnewline
4 & 590.941666666667 & 720.239295409182 & 2680.6 \tabularnewline
5 & 432.958333333333 & 184.935612669203 & 610.2 \tabularnewline
6 & 548.116666666667 & 239.39526779455 & 810.1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=167634&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]554.608333333333[/C][C]322.485826209557[/C][C]800.1[/C][/ROW]
[ROW][C]2[/C][C]459.616666666667[/C][C]356.750523560381[/C][C]879.4[/C][/ROW]
[ROW][C]3[/C][C]480.8[/C][C]295.662691715961[/C][C]751[/C][/ROW]
[ROW][C]4[/C][C]590.941666666667[/C][C]720.239295409182[/C][C]2680.6[/C][/ROW]
[ROW][C]5[/C][C]432.958333333333[/C][C]184.935612669203[/C][C]610.2[/C][/ROW]
[ROW][C]6[/C][C]548.116666666667[/C][C]239.39526779455[/C][C]810.1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=167634&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=167634&T=1

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1554.608333333333322.485826209557800.1
2459.616666666667356.750523560381879.4
3480.8295.662691715961751
4590.941666666667720.2392954091822680.6
5432.958333333333184.935612669203610.2
6548.116666666667239.39526779455810.1






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-664.863151475106
beta1.99170692481935
S.D.1.15826581860288
T-STAT1.71955944208194
p-value0.16063284773788

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -664.863151475106 \tabularnewline
beta & 1.99170692481935 \tabularnewline
S.D. & 1.15826581860288 \tabularnewline
T-STAT & 1.71955944208194 \tabularnewline
p-value & 0.16063284773788 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=167634&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-664.863151475106[/C][/ROW]
[ROW][C]beta[/C][C]1.99170692481935[/C][/ROW]
[ROW][C]S.D.[/C][C]1.15826581860288[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.71955944208194[/C][/ROW]
[ROW][C]p-value[/C][C]0.16063284773788[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=167634&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=167634&T=2

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-664.863151475106
beta1.99170692481935
S.D.1.15826581860288
T-STAT1.71955944208194
p-value0.16063284773788






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-9.39504673608723
beta2.43400520202945
S.D.1.4347091493231
T-STAT1.69651472786511
p-value0.165027660398016
Lambda-1.43400520202945

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -9.39504673608723 \tabularnewline
beta & 2.43400520202945 \tabularnewline
S.D. & 1.4347091493231 \tabularnewline
T-STAT & 1.69651472786511 \tabularnewline
p-value & 0.165027660398016 \tabularnewline
Lambda & -1.43400520202945 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=167634&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-9.39504673608723[/C][/ROW]
[ROW][C]beta[/C][C]2.43400520202945[/C][/ROW]
[ROW][C]S.D.[/C][C]1.4347091493231[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.69651472786511[/C][/ROW]
[ROW][C]p-value[/C][C]0.165027660398016[/C][/ROW]
[ROW][C]Lambda[/C][C]-1.43400520202945[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=167634&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=167634&T=3

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-9.39504673608723
beta2.43400520202945
S.D.1.4347091493231
T-STAT1.69651472786511
p-value0.165027660398016
Lambda-1.43400520202945


Figures (Output of Computation)

Input Parameters & R Code

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')