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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 computationSat, 22 Nov 2014 13:51:33 +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/2014/Nov/22/t1416664540k2u6phal9yer10h.htm/, Retrieved Sun, 19 May 2024 16:34:12 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=257854, Retrieved Sun, 19 May 2024 16:34:12 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact76

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] [] [2014-11-22 13:51:33] [e05db0df8788e4fa845cdc810f8bbe4c] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
564410
658506
574787
611567
565210
638288
524970
505151
605350
517957
510879
622942
459903
486911
545974
481494
492324
609265
573243
524622
540071
564556
465319
458048
492603
606596
776475
749810
832426
895273
643875
348031
301771
411429
350941
425245
447041
449723
514318
445044
532552
469484
442289
532681
524463
590857
487590
612157
598030
577042
755394
697253
476835
510995
527816
482667
531528
628748
472131
445430
551715
561949
769474
583410
480271
576444
550457
534892
541769
741041
482062
586176

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'George Udny Yule' @ yule.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 & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=257854&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]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=257854&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=257854&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'George Udny Yule' @ yule.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1575001.41666666752648.6243184833153355
2516810.83333333350043.951600447151217
3569539.583333333208396.623015502593502
4504016.58333333357477.350463162169868
5558655.7596035.280522908309964
6579971.66666666788897.1529969869289203

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 575001.416666667 & 52648.6243184833 & 153355 \tabularnewline
2 & 516810.833333333 & 50043.951600447 & 151217 \tabularnewline
3 & 569539.583333333 & 208396.623015502 & 593502 \tabularnewline
4 & 504016.583333333 & 57477.350463162 & 169868 \tabularnewline
5 & 558655.75 & 96035.280522908 & 309964 \tabularnewline
6 & 579971.666666667 & 88897.1529969869 & 289203 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=257854&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]575001.416666667[/C][C]52648.6243184833[/C][C]153355[/C][/ROW]
[ROW][C]2[/C][C]516810.833333333[/C][C]50043.951600447[/C][C]151217[/C][/ROW]
[ROW][C]3[/C][C]569539.583333333[/C][C]208396.623015502[/C][C]593502[/C][/ROW]
[ROW][C]4[/C][C]504016.583333333[/C][C]57477.350463162[/C][C]169868[/C][/ROW]
[ROW][C]5[/C][C]558655.75[/C][C]96035.280522908[/C][C]309964[/C][/ROW]
[ROW][C]6[/C][C]579971.666666667[/C][C]88897.1529969869[/C][C]289203[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=257854&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=257854&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
1575001.41666666752648.6243184833153355
2516810.83333333350043.951600447151217
3569539.583333333208396.623015502593502
4504016.58333333357477.350463162169868
5558655.7596035.280522908309964
6579971.66666666788897.1529969869289203






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-354289.737352314
beta0.810908228152438
S.D.0.840040008902255
T-STAT0.965320960381534
p-value0.389048856881075

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -354289.737352314 \tabularnewline
beta & 0.810908228152438 \tabularnewline
S.D. & 0.840040008902255 \tabularnewline
T-STAT & 0.965320960381534 \tabularnewline
p-value & 0.389048856881075 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=257854&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-354289.737352314[/C][/ROW]
[ROW][C]beta[/C][C]0.810908228152438[/C][/ROW]
[ROW][C]S.D.[/C][C]0.840040008902255[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.965320960381534[/C][/ROW]
[ROW][C]p-value[/C][C]0.389048856881075[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=257854&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=257854&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-354289.737352314
beta0.810908228152438
S.D.0.840040008902255
T-STAT0.965320960381534
p-value0.389048856881075






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-49.2770666547788
beta4.58269530677744
S.D.3.92291403461164
T-STAT1.16818652316737
p-value0.307608695526284
Lambda-3.58269530677744

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -49.2770666547788 \tabularnewline
beta & 4.58269530677744 \tabularnewline
S.D. & 3.92291403461164 \tabularnewline
T-STAT & 1.16818652316737 \tabularnewline
p-value & 0.307608695526284 \tabularnewline
Lambda & -3.58269530677744 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=257854&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-49.2770666547788[/C][/ROW]
[ROW][C]beta[/C][C]4.58269530677744[/C][/ROW]
[ROW][C]S.D.[/C][C]3.92291403461164[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.16818652316737[/C][/ROW]
[ROW][C]p-value[/C][C]0.307608695526284[/C][/ROW]
[ROW][C]Lambda[/C][C]-3.58269530677744[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=257854&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=257854&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-49.2770666547788
beta4.58269530677744
S.D.3.92291403461164
T-STAT1.16818652316737
p-value0.307608695526284
Lambda-3.58269530677744


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')