FreeStatistics.org

Free Statistics

of Irreproducible Research!

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 computationSat, 12 Dec 2015 10:45:18 +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/2015/Dec/12/t1449917143xie3o0d7h1e44tl.htm/, Retrieved Thu, 16 May 2024 15:53:57 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=286049, Retrieved Thu, 16 May 2024 15:53:57 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact99

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...] [2015-12-12 10:45:18] [20fcaaf1d4bc4a12bf87c6c50d624c14] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
287224
279998
283495
285775
282329
277799
271980
266730
262433
285378
286692
282917
277686
274371
277466
290604
290770
283654
278601
274405
272817
294292
300562
298982
296917
295008
297295
305671
303853
300708
298194
292254
290646
314707
317009
317706
313312
311048
315917
326174
322116
317092
310468
302438
298493
320124
321873
321676
316696
312612
313307
320883
318749
315126
304600
295245
293619
309700
310597
307416
301126

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'Herman Ole Andreas Wold' @ wold.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 & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=286049&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=286049&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=286049&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'Herman Ole Andreas Wold' @ wold.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1279395.8333333338173.503141619324791
2284517.510057.052238467927745
3302497.3333333339459.3524699904927060
4315060.9166666678355.850432300127681
5309879.1666666678560.0085899843627264

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 279395.833333333 & 8173.5031416193 & 24791 \tabularnewline
2 & 284517.5 & 10057.0522384679 & 27745 \tabularnewline
3 & 302497.333333333 & 9459.35246999049 & 27060 \tabularnewline
4 & 315060.916666667 & 8355.8504323001 & 27681 \tabularnewline
5 & 309879.166666667 & 8560.00858998436 & 27264 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=286049&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]279395.833333333[/C][C]8173.5031416193[/C][C]24791[/C][/ROW]
[ROW][C]2[/C][C]284517.5[/C][C]10057.0522384679[/C][C]27745[/C][/ROW]
[ROW][C]3[/C][C]302497.333333333[/C][C]9459.35246999049[/C][C]27060[/C][/ROW]
[ROW][C]4[/C][C]315060.916666667[/C][C]8355.8504323001[/C][C]27681[/C][/ROW]
[ROW][C]5[/C][C]309879.166666667[/C][C]8560.00858998436[/C][C]27264[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=286049&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=286049&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
1279395.8333333338173.503141619324791
2284517.510057.052238467927745
3302497.3333333339459.3524699904927060
4315060.9166666678355.850432300127681
5309879.1666666678560.0085899843627264






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha12853.546362117
beta-0.0131839977538637
S.D.0.0286825601681818
T-STAT-0.459652056042368
p-value0.67702939536004

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 12853.546362117 \tabularnewline
beta & -0.0131839977538637 \tabularnewline
S.D. & 0.0286825601681818 \tabularnewline
T-STAT & -0.459652056042368 \tabularnewline
p-value & 0.67702939536004 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=286049&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]12853.546362117[/C][/ROW]
[ROW][C]beta[/C][C]-0.0131839977538637[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0286825601681818[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.459652056042368[/C][/ROW]
[ROW][C]p-value[/C][C]0.67702939536004[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=286049&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=286049&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)
alpha12853.546362117
beta-0.0131839977538637
S.D.0.0286825601681818
T-STAT-0.459652056042368
p-value0.67702939536004






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha13.9447377411984
beta-0.384916431205749
S.D.0.942993212220211
T-STAT-0.40818579202653
p-value0.710522960185382
Lambda1.38491643120575

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 13.9447377411984 \tabularnewline
beta & -0.384916431205749 \tabularnewline
S.D. & 0.942993212220211 \tabularnewline
T-STAT & -0.40818579202653 \tabularnewline
p-value & 0.710522960185382 \tabularnewline
Lambda & 1.38491643120575 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=286049&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]13.9447377411984[/C][/ROW]
[ROW][C]beta[/C][C]-0.384916431205749[/C][/ROW]
[ROW][C]S.D.[/C][C]0.942993212220211[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.40818579202653[/C][/ROW]
[ROW][C]p-value[/C][C]0.710522960185382[/C][/ROW]
[ROW][C]Lambda[/C][C]1.38491643120575[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=286049&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=286049&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)
alpha13.9447377411984
beta-0.384916431205749
S.D.0.942993212220211
T-STAT-0.40818579202653
p-value0.710522960185382
Lambda1.38491643120575


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')