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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 computationFri, 27 Nov 2009 13:19:56 -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/Nov/27/t125935328970wbr8esta2v2lg.htm/, Retrieved Mon, 29 Apr 2024 05:59:57 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=61245, Retrieved Mon, 29 Apr 2024 05:59:57 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact109

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...] [2009-11-27 20:19:56] [99bf2a1e962091d45abf4c2600a412f9] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
562000
561000
555000
544000
537000
543000
594000
611000
613000
611000
594000
595000
591000
589000
584000
573000
567000
569000
621000
629000
628000
612000
595000
597000
593000
590000
580000
574000
573000
573000
620000
626000
620000
588000
566000
557000
561000
549000
532000
526000
511000
499000
555000
565000
542000
527000
510000
514000
517000
508000
493000
490000
469000
478000
528000
534000
518000
506000
502000
516000

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=61245&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=61245&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=61245&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
1576666.66666666729105.86736641876000
259625021975.709731014862000
3588333.33333333322712.965193448269000
4532583.33333333321831.829696083466000
5504916.66666666719579.480601028765000

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 576666.666666667 & 29105.867366418 & 76000 \tabularnewline
2 & 596250 & 21975.7097310148 & 62000 \tabularnewline
3 & 588333.333333333 & 22712.9651934482 & 69000 \tabularnewline
4 & 532583.333333333 & 21831.8296960834 & 66000 \tabularnewline
5 & 504916.666666667 & 19579.4806010287 & 65000 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=61245&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]576666.666666667[/C][C]29105.867366418[/C][C]76000[/C][/ROW]
[ROW][C]2[/C][C]596250[/C][C]21975.7097310148[/C][C]62000[/C][/ROW]
[ROW][C]3[/C][C]588333.333333333[/C][C]22712.9651934482[/C][C]69000[/C][/ROW]
[ROW][C]4[/C][C]532583.333333333[/C][C]21831.8296960834[/C][C]66000[/C][/ROW]
[ROW][C]5[/C][C]504916.666666667[/C][C]19579.4806010287[/C][C]65000[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=61245&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=61245&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
1576666.66666666729105.86736641876000
259625021975.709731014862000
3588333.33333333322712.965193448269000
4532583.33333333321831.829696083466000
5504916.66666666719579.480601028765000






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-2046.7558929839
beta0.0448198774641938
S.D.0.0458960217858075
T-STAT0.976552557721975
p-value0.400811761161495

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -2046.7558929839 \tabularnewline
beta & 0.0448198774641938 \tabularnewline
S.D. & 0.0458960217858075 \tabularnewline
T-STAT & 0.976552557721975 \tabularnewline
p-value & 0.400811761161495 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=61245&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-2046.7558929839[/C][/ROW]
[ROW][C]beta[/C][C]0.0448198774641938[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0458960217858075[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.976552557721975[/C][/ROW]
[ROW][C]p-value[/C][C]0.400811761161495[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=61245&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=61245&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-2046.7558929839
beta0.0448198774641938
S.D.0.0458960217858075
T-STAT0.976552557721975
p-value0.400811761161495






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-4.61279335490519
beta1.10697740207405
S.D.0.99740224221136
T-STAT1.10986055096462
p-value0.348021431628801
Lambda-0.106977402074049

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -4.61279335490519 \tabularnewline
beta & 1.10697740207405 \tabularnewline
S.D. & 0.99740224221136 \tabularnewline
T-STAT & 1.10986055096462 \tabularnewline
p-value & 0.348021431628801 \tabularnewline
Lambda & -0.106977402074049 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=61245&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-4.61279335490519[/C][/ROW]
[ROW][C]beta[/C][C]1.10697740207405[/C][/ROW]
[ROW][C]S.D.[/C][C]0.99740224221136[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.10986055096462[/C][/ROW]
[ROW][C]p-value[/C][C]0.348021431628801[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.106977402074049[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=61245&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=61245&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-4.61279335490519
beta1.10697740207405
S.D.0.99740224221136
T-STAT1.10986055096462
p-value0.348021431628801
Lambda-0.106977402074049


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')