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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 computationWed, 02 Dec 2009 15:58:16 -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/02/t125979475948fc4j0a99f9g8n.htm/, Retrieved Sat, 27 Apr 2024 18:50:41 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=62627, Retrieved Sat, 27 Apr 2024 18:50:41 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact150

Tree of Dependent Computations

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] [smp] [2009-11-26 18:37:16] [ed603017d2bee8fbd82b6d5ec04e12c3]
-   PD          [Standard Deviation-Mean Plot] [Workshop8] [2009-11-27 12:14:35] [34b80aeb109c116fd63bf2eb7493a276]
-    D              [Standard Deviation-Mean Plot] [verbetering] [2009-12-02 22:58:16] [307139c5e328127f586f26d5bcc435d8] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
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
7.9
7.7
7.4
7.5

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' @ 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=62627&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=62627&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62627&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
17.5750.5136765873228371.7
27.6250.3768891807222051.5
37.80.3464101615137751.1
46.958333333333330.2020725942163690.7
56.416666666666670.2949062511539841
66.950.7242551032236192.1

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 7.575 & 0.513676587322837 & 1.7 \tabularnewline
2 & 7.625 & 0.376889180722205 & 1.5 \tabularnewline
3 & 7.8 & 0.346410161513775 & 1.1 \tabularnewline
4 & 6.95833333333333 & 0.202072594216369 & 0.7 \tabularnewline
5 & 6.41666666666667 & 0.294906251153984 & 1 \tabularnewline
6 & 6.95 & 0.724255103223619 & 2.1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62627&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]7.575[/C][C]0.513676587322837[/C][C]1.7[/C][/ROW]
[ROW][C]2[/C][C]7.625[/C][C]0.376889180722205[/C][C]1.5[/C][/ROW]
[ROW][C]3[/C][C]7.8[/C][C]0.346410161513775[/C][C]1.1[/C][/ROW]
[ROW][C]4[/C][C]6.95833333333333[/C][C]0.202072594216369[/C][C]0.7[/C][/ROW]
[ROW][C]5[/C][C]6.41666666666667[/C][C]0.294906251153984[/C][C]1[/C][/ROW]
[ROW][C]6[/C][C]6.95[/C][C]0.724255103223619[/C][C]2.1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62627&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62627&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
17.5750.5136765873228371.7
27.6250.3768891807222051.5
37.80.3464101615137751.1
46.958333333333330.2020725942163690.7
56.416666666666670.2949062511539841
66.950.7242551032236192.1






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha0.161716638656554
beta0.0343429901030229
S.D.0.173143294747073
T-STAT0.198350101591811
p-value0.852444281547591

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.161716638656554 \tabularnewline
beta & 0.0343429901030229 \tabularnewline
S.D. & 0.173143294747073 \tabularnewline
T-STAT & 0.198350101591811 \tabularnewline
p-value & 0.852444281547591 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62627&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.161716638656554[/C][/ROW]
[ROW][C]beta[/C][C]0.0343429901030229[/C][/ROW]
[ROW][C]S.D.[/C][C]0.173143294747073[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.198350101591811[/C][/ROW]
[ROW][C]p-value[/C][C]0.852444281547591[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62627&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62627&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)
alpha0.161716638656554
beta0.0343429901030229
S.D.0.173143294747073
T-STAT0.198350101591811
p-value0.852444281547591






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-3.47605369725834
beta1.26699866448736
S.D.2.88936636942219
T-STAT0.438503984090024
p-value0.683664291999188
Lambda-0.266998664487357

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -3.47605369725834 \tabularnewline
beta & 1.26699866448736 \tabularnewline
S.D. & 2.88936636942219 \tabularnewline
T-STAT & 0.438503984090024 \tabularnewline
p-value & 0.683664291999188 \tabularnewline
Lambda & -0.266998664487357 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62627&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-3.47605369725834[/C][/ROW]
[ROW][C]beta[/C][C]1.26699866448736[/C][/ROW]
[ROW][C]S.D.[/C][C]2.88936636942219[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.438503984090024[/C][/ROW]
[ROW][C]p-value[/C][C]0.683664291999188[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.266998664487357[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62627&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62627&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-3.47605369725834
beta1.26699866448736
S.D.2.88936636942219
T-STAT0.438503984090024
p-value0.683664291999188
Lambda-0.266998664487357


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')