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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationTue, 08 Dec 2009 11:47:56 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Dec/08/t1260298192u8umjecgwcdbc4h.htm/, Retrieved Sat, 27 Apr 2024 15:28:39 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=64784, Retrieved Sat, 27 Apr 2024 15:28:39 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsWSH 9
Estimated Impact129

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Standard Deviation-Mean Plot] [] [2009-11-27 14:40:44] [b98453cac15ba1066b407e146608df68]
- R  D      [Standard Deviation-Mean Plot] [Graan: lambda waa...] [2009-12-08 18:47:56] [e7a989b306049c061a54f626f1127c12] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
130.7
117.2
110.8
111.4
108.2
108.8
110.2
109.5
109.5
116
111.2
112.1
114
119.1
114.1
115.1
115.4
110.8
116
119.2
126.5
127.8
131.3
140.3
137.3
143
134.5
139.9
159.3
170.4
175
175.8
180.9
180.3
169.6
172.3
184.8
177.7
184.6
211.4
215.3
215.9
244.7
259.3
289
310.9
321
315.1
333.2
314.1
284.7
273.9
216
196.4
190.9
206.4
196.3
199.5
198.9
214.4

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' @ 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=64784&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=64784&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=64784&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' @ 72.249.127.135






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1112.9666666666676.2113288482100222.5
2120.88.8073316565853829.5
3161.52517.853653814988546.4
4244.14166666666753.7873837578586143.3
5235.39166666666751.3284868333956142.3

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 112.966666666667 & 6.21132884821002 & 22.5 \tabularnewline
2 & 120.8 & 8.80733165658538 & 29.5 \tabularnewline
3 & 161.525 & 17.8536538149885 & 46.4 \tabularnewline
4 & 244.141666666667 & 53.7873837578586 & 143.3 \tabularnewline
5 & 235.391666666667 & 51.3284868333956 & 142.3 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=64784&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]112.966666666667[/C][C]6.21132884821002[/C][C]22.5[/C][/ROW]
[ROW][C]2[/C][C]120.8[/C][C]8.80733165658538[/C][C]29.5[/C][/ROW]
[ROW][C]3[/C][C]161.525[/C][C]17.8536538149885[/C][C]46.4[/C][/ROW]
[ROW][C]4[/C][C]244.141666666667[/C][C]53.7873837578586[/C][C]143.3[/C][/ROW]
[ROW][C]5[/C][C]235.391666666667[/C][C]51.3284868333956[/C][C]142.3[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=64784&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=64784&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
1112.9666666666676.2113288482100222.5
2120.88.8073316565853829.5
3161.52517.853653814988546.4
4244.14166666666753.7873837578586143.3
5235.39166666666751.3284868333956142.3






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-37.4141287366196
beta0.37157011813121
S.D.0.0250325692022332
T-STAT14.8434671299366
p-value0.000663458544411415

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -37.4141287366196 \tabularnewline
beta & 0.37157011813121 \tabularnewline
S.D. & 0.0250325692022332 \tabularnewline
T-STAT & 14.8434671299366 \tabularnewline
p-value & 0.000663458544411415 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=64784&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-37.4141287366196[/C][/ROW]
[ROW][C]beta[/C][C]0.37157011813121[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0250325692022332[/C][/ROW]
[ROW][C]T-STAT[/C][C]14.8434671299366[/C][/ROW]
[ROW][C]p-value[/C][C]0.000663458544411415[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=64784&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=64784&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-37.4141287366196
beta0.37157011813121
S.D.0.0250325692022332
T-STAT14.8434671299366
p-value0.000663458544411415






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-11.0294867717448
beta2.73636579212454
S.D.0.0986154161944165
T-STAT27.7478501609718
p-value0.000102743848025750
Lambda-1.73636579212454

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -11.0294867717448 \tabularnewline
beta & 2.73636579212454 \tabularnewline
S.D. & 0.0986154161944165 \tabularnewline
T-STAT & 27.7478501609718 \tabularnewline
p-value & 0.000102743848025750 \tabularnewline
Lambda & -1.73636579212454 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=64784&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-11.0294867717448[/C][/ROW]
[ROW][C]beta[/C][C]2.73636579212454[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0986154161944165[/C][/ROW]
[ROW][C]T-STAT[/C][C]27.7478501609718[/C][/ROW]
[ROW][C]p-value[/C][C]0.000102743848025750[/C][/ROW]
[ROW][C]Lambda[/C][C]-1.73636579212454[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=64784&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=64784&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-11.0294867717448
beta2.73636579212454
S.D.0.0986154161944165
T-STAT27.7478501609718
p-value0.000102743848025750
Lambda-1.73636579212454


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')