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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationThu, 02 Dec 2010 17:33:11 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/02/t129131108188oy859aal3sy7m.htm/, Retrieved Sun, 05 May 2024 17:28:35 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=104375, Retrieved Sun, 05 May 2024 17:28:35 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W83
Estimated Impact91

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] [aantal personenwa...] [2010-12-02 17:10:27] [70c028a0c5291c562d971858b5833fd7]
-    D    [Standard Deviation-Mean Plot] [Aantal bezoekers ...] [2010-12-02 17:33:11] [232a7cda7dce092ded4732144e74d27d] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
 6.715 
 7.703 
 9.856 
 8.326 
 9.269 
 7.035 
 10.342 
 11.682 
 10.304 
 11.385 
 9.777 
 8.882 
 7.897 
 6.930 
 9.545 
 9.110 
 7.459 
 7.320 
 10.017 
 12.307 
 11.072 
 10.749 
 9.589 
 9.080 
 7.384 
 8.062 
 8.511 
 8.684 
 8.306 
 7.643 
 10.577 
 13.747 
 11.783 
 11.611 
 9.946 
 8.693 
 7.303 
 7.609 
 9.423 
 8.584 
 7.586 
 6.843 
 11.811 
 13.414 
 12.103 
 11.501 
 8.213 
 7.982 
 7.687 
 7.180 
 7.862 
 8.043 
 8.340 
 6.692 
 10.065 
 12.684 
 11.587 
 9.843 
 8.110 
 7.940 
 6.475 
 6.121 
 9.669 
 7.778 
 7.826 
 7.403 
 10.741 
 14.023 
 11.519 
 10.236 
 8.075 
 8.157

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=104375&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=104375&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=104375&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
19.2731.599149376159944.967
29.256251.648574873530585.377
39.578916666666671.970328558588106.363
49.364333333333332.239120660735676.571
58.836083333333331.826877637258495.992
69.001916666666672.300883089690627.902

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 9.273 & 1.59914937615994 & 4.967 \tabularnewline
2 & 9.25625 & 1.64857487353058 & 5.377 \tabularnewline
3 & 9.57891666666667 & 1.97032855858810 & 6.363 \tabularnewline
4 & 9.36433333333333 & 2.23912066073567 & 6.571 \tabularnewline
5 & 8.83608333333333 & 1.82687763725849 & 5.992 \tabularnewline
6 & 9.00191666666667 & 2.30088308969062 & 7.902 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=104375&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]9.273[/C][C]1.59914937615994[/C][C]4.967[/C][/ROW]
[ROW][C]2[/C][C]9.25625[/C][C]1.64857487353058[/C][C]5.377[/C][/ROW]
[ROW][C]3[/C][C]9.57891666666667[/C][C]1.97032855858810[/C][C]6.363[/C][/ROW]
[ROW][C]4[/C][C]9.36433333333333[/C][C]2.23912066073567[/C][C]6.571[/C][/ROW]
[ROW][C]5[/C][C]8.83608333333333[/C][C]1.82687763725849[/C][C]5.992[/C][/ROW]
[ROW][C]6[/C][C]9.00191666666667[/C][C]2.30088308969062[/C][C]7.902[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=104375&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=104375&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
19.2731.599149376159944.967
29.256251.648574873530585.377
39.578916666666671.970328558588106.363
49.364333333333332.239120660735676.571
58.836083333333331.826877637258495.992
69.001916666666672.300883089690627.902






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha2.19335193148863
beta-0.0284788131180947
S.D.0.557639052501058
T-STAT-0.051070334816697
p-value0.961718047238743

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 2.19335193148863 \tabularnewline
beta & -0.0284788131180947 \tabularnewline
S.D. & 0.557639052501058 \tabularnewline
T-STAT & -0.051070334816697 \tabularnewline
p-value & 0.961718047238743 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=104375&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]2.19335193148863[/C][/ROW]
[ROW][C]beta[/C][C]-0.0284788131180947[/C][/ROW]
[ROW][C]S.D.[/C][C]0.557639052501058[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.051070334816697[/C][/ROW]
[ROW][C]p-value[/C][C]0.961718047238743[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=104375&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=104375&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)
alpha2.19335193148863
beta-0.0284788131180947
S.D.0.557639052501058
T-STAT-0.051070334816697
p-value0.961718047238743






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha0.917039335286341
beta-0.12102429868695
S.D.2.65084857948787
T-STAT-0.0456549271140682
p-value0.965773665575398
Lambda1.12102429868695

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 0.917039335286341 \tabularnewline
beta & -0.12102429868695 \tabularnewline
S.D. & 2.65084857948787 \tabularnewline
T-STAT & -0.0456549271140682 \tabularnewline
p-value & 0.965773665575398 \tabularnewline
Lambda & 1.12102429868695 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=104375&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.917039335286341[/C][/ROW]
[ROW][C]beta[/C][C]-0.12102429868695[/C][/ROW]
[ROW][C]S.D.[/C][C]2.65084857948787[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.0456549271140682[/C][/ROW]
[ROW][C]p-value[/C][C]0.965773665575398[/C][/ROW]
[ROW][C]Lambda[/C][C]1.12102429868695[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=104375&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=104375&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)
alpha0.917039335286341
beta-0.12102429868695
S.D.2.65084857948787
T-STAT-0.0456549271140682
p-value0.965773665575398
Lambda1.12102429868695


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')