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 computationMon, 21 Dec 2009 03:23:22 -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/21/t1261394713o73ke4dnumgdow3.htm/, Retrieved Sun, 05 May 2024 08:56:41 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=70104, Retrieved Sun, 05 May 2024 08:56:41 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact140

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...] [2008-12-11 16:40:34] [12d343c4448a5f9e527bb31caeac580b]
- RM      [Standard Deviation-Mean Plot] [] [2009-12-21 10:23:22] [4f2ce09ae9ed345cd87786097de0b173] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
14929387,5
14717825,3
15826281,2
16301309,6
15033016,9
16998460,6
14066462,7
13328937,3
17319718,2
17586426,8
15887037,4
17935679,1
15869489
15892510,9
17556558,1
16791643
15953688,5
18144913,6
14390881
13885708,7
17332571,5
17152595,8
16003877,1
16841467,1
14783398,1
14667847,5
17714362,2
16282088
15014866,2
17722582,4
13876509,4
15495489,6
17799521,1
17920079,1
17248022,4
18813782,4
16249688,3
17823358,5
20424438,3
17814218,7
19699959,6
19776328,1
15679833,1
17119266,5
20092613
20863688,3
20925203,1
21032593
20664684,3
19711511,4
22553293,4
19498332,9
20722827,8
21321275
17960847,7
17789654,9
20003708,5
21169851,7
20422839,4
19810562,3

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=70104&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]2 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=70104&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=70104&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 time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
115827545.21666671457812.917448384606741.8
216317992.0251255508.886587134259204.9
316444879.03333331623682.309192174937273
418958432.3751919311.928052775352759.9
520135782.44166671347388.965579824763638.5

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 15827545.2166667 & 1457812.91744838 & 4606741.8 \tabularnewline
2 & 16317992.025 & 1255508.88658713 & 4259204.9 \tabularnewline
3 & 16444879.0333333 & 1623682.30919217 & 4937273 \tabularnewline
4 & 18958432.375 & 1919311.92805277 & 5352759.9 \tabularnewline
5 & 20135782.4416667 & 1347388.96557982 & 4763638.5 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=70104&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]15827545.2166667[/C][C]1457812.91744838[/C][C]4606741.8[/C][/ROW]
[ROW][C]2[/C][C]16317992.025[/C][C]1255508.88658713[/C][C]4259204.9[/C][/ROW]
[ROW][C]3[/C][C]16444879.0333333[/C][C]1623682.30919217[/C][C]4937273[/C][/ROW]
[ROW][C]4[/C][C]18958432.375[/C][C]1919311.92805277[/C][C]5352759.9[/C][/ROW]
[ROW][C]5[/C][C]20135782.4416667[/C][C]1347388.96557982[/C][C]4763638.5[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=70104&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=70104&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
115827545.21666671457812.917448384606741.8
216317992.0251255508.886587134259204.9
316444879.03333331623682.309192174937273
418958432.3751919311.928052775352759.9
520135782.44166671347388.965579824763638.5






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha990664.372407292
beta0.0302263134579772
S.D.0.0777479544177382
T-STAT0.388773102576716
p-value0.72339452368701

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 990664.372407292 \tabularnewline
beta & 0.0302263134579772 \tabularnewline
S.D. & 0.0777479544177382 \tabularnewline
T-STAT & 0.388773102576716 \tabularnewline
p-value & 0.72339452368701 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=70104&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]990664.372407292[/C][/ROW]
[ROW][C]beta[/C][C]0.0302263134579772[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0777479544177382[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.388773102576716[/C][/ROW]
[ROW][C]p-value[/C][C]0.72339452368701[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=70104&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=70104&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)
alpha990664.372407292
beta0.0302263134579772
S.D.0.0777479544177382
T-STAT0.388773102576716
p-value0.72339452368701






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha8.62065911816227
beta0.335989435164044
S.D.0.886692965569668
T-STAT0.378924214142359
p-value0.729972470370724
Lambda0.664010564835956

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 8.62065911816227 \tabularnewline
beta & 0.335989435164044 \tabularnewline
S.D. & 0.886692965569668 \tabularnewline
T-STAT & 0.378924214142359 \tabularnewline
p-value & 0.729972470370724 \tabularnewline
Lambda & 0.664010564835956 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=70104&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]8.62065911816227[/C][/ROW]
[ROW][C]beta[/C][C]0.335989435164044[/C][/ROW]
[ROW][C]S.D.[/C][C]0.886692965569668[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.378924214142359[/C][/ROW]
[ROW][C]p-value[/C][C]0.729972470370724[/C][/ROW]
[ROW][C]Lambda[/C][C]0.664010564835956[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=70104&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=70104&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)
alpha8.62065911816227
beta0.335989435164044
S.D.0.886692965569668
T-STAT0.378924214142359
p-value0.729972470370724
Lambda0.664010564835956


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 12 ;
Parameters (R input):
par1 = 12 ; par2 = ; par3 = ; par4 = ; par5 = ; par6 = ; par7 = ; par8 = ; par9 = ; par10 = ; par11 = ; par12 = ; par13 = ; par14 = ; par15 = ; par16 = ; par17 = ; par18 = ; par19 = ; par20 = ;
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')