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 computationTue, 09 Dec 2008 07:18:25 -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/2008/Dec/09/t12288324117dr1a9te8ihdnss.htm/, Retrieved Sat, 25 May 2024 05:53:05 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=31445, Retrieved Sat, 25 May 2024 05:53:05 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact249

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Univariate Data Series] [Airline data] [2007-10-18 09:58:47] [42daae401fd3def69a25014f2252b4c2]
F RMPD  [Spectral Analysis] [airline data] [2008-12-02 12:35:12] [0e5eff269cdcaf8789c45b6ee36b0c3d]
F RMPD    [Cross Correlation Function] [airline data] [2008-12-02 13:18:05] [0e5eff269cdcaf8789c45b6ee36b0c3d]
- RMPD      [(Partial) Autocorrelation Function] [paper] [2008-12-02 14:51:55] [0e5eff269cdcaf8789c45b6ee36b0c3d]
-   P         [(Partial) Autocorrelation Function] [acf] [2008-12-09 12:58:07] [a4602103a5e123497aa555277d0e627b]
- RMPD            [Standard Deviation-Mean Plot] [SDMP] [2008-12-09 14:18:25] [09074fbe368d26382bb94e5bb318a104] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1202454.6
1201423.4
1505916
1513377.6
1977605.3
1873829.6
1424049.1
1322740
1584825.5
1680460.3
1648573.7
3095468.7
1307982.9
1367588.9
1572718.3
1611602.9
1641196.4
1845262.4
1464237.6
1402385.7
2077099.8
1691129.6
1729012.7
3347792.1
1365087.7
1545460
1844355.1
1775549.8
1721779.2
2128726.1
1664319.9
1769471.4
1904578.4
1872042.3
1802181
3222199.4
1491414.2
1658519.2
2079206.9
1748767.4
2084447.4
2067181.6
1718122.8
1782337.1
1958118.4
2028681.3
2076128.1
3383873
1870369
1654852.9
2074338.3
1888653.7
1991137.8
2168237.9
1867424.1
1842359.6
1927476.3
2065555.4
2455608.5
3336170.9

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=31445&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=31445&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=31445&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
11669226.98333333508709.8466872361894045.3
21754834.10833333545991.055960982039809.2
31884645.85833333461502.3395642981857111.7
42006399.78333333477314.6471390771892458.8
52095182.03333333438845.3689051541681318

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 1669226.98333333 & 508709.846687236 & 1894045.3 \tabularnewline
2 & 1754834.10833333 & 545991.05596098 & 2039809.2 \tabularnewline
3 & 1884645.85833333 & 461502.339564298 & 1857111.7 \tabularnewline
4 & 2006399.78333333 & 477314.647139077 & 1892458.8 \tabularnewline
5 & 2095182.03333333 & 438845.368905154 & 1681318 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=31445&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]1669226.98333333[/C][C]508709.846687236[/C][C]1894045.3[/C][/ROW]
[ROW][C]2[/C][C]1754834.10833333[/C][C]545991.05596098[/C][C]2039809.2[/C][/ROW]
[ROW][C]3[/C][C]1884645.85833333[/C][C]461502.339564298[/C][C]1857111.7[/C][/ROW]
[ROW][C]4[/C][C]2006399.78333333[/C][C]477314.647139077[/C][C]1892458.8[/C][/ROW]
[ROW][C]5[/C][C]2095182.03333333[/C][C]438845.368905154[/C][C]1681318[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=31445&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=31445&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
11669226.98333333508709.8466872361894045.3
21754834.10833333545991.055960982039809.2
31884645.85833333461502.3395642981857111.7
42006399.78333333477314.6471390771892458.8
52095182.03333333438845.3689051541681318






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha850339.098202736
beta-0.193334368144091
S.D.0.0815022711115717
T-STAT-2.37213473326931
p-value0.0983139948612015

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 850339.098202736 \tabularnewline
beta & -0.193334368144091 \tabularnewline
S.D. & 0.0815022711115717 \tabularnewline
T-STAT & -2.37213473326931 \tabularnewline
p-value & 0.0983139948612015 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=31445&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]850339.098202736[/C][/ROW]
[ROW][C]beta[/C][C]-0.193334368144091[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0815022711115717[/C][/ROW]
[ROW][C]T-STAT[/C][C]-2.37213473326931[/C][/ROW]
[ROW][C]p-value[/C][C]0.0983139948612015[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=31445&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=31445&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)
alpha850339.098202736
beta-0.193334368144091
S.D.0.0815022711115717
T-STAT-2.37213473326931
p-value0.0983139948612015






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha23.8020118961658
beta-0.741463612962031
S.D.0.307377470387073
T-STAT-2.41222498196866
p-value0.0948275281674557
Lambda1.74146361296203

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 23.8020118961658 \tabularnewline
beta & -0.741463612962031 \tabularnewline
S.D. & 0.307377470387073 \tabularnewline
T-STAT & -2.41222498196866 \tabularnewline
p-value & 0.0948275281674557 \tabularnewline
Lambda & 1.74146361296203 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=31445&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]23.8020118961658[/C][/ROW]
[ROW][C]beta[/C][C]-0.741463612962031[/C][/ROW]
[ROW][C]S.D.[/C][C]0.307377470387073[/C][/ROW]
[ROW][C]T-STAT[/C][C]-2.41222498196866[/C][/ROW]
[ROW][C]p-value[/C][C]0.0948275281674557[/C][/ROW]
[ROW][C]Lambda[/C][C]1.74146361296203[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=31445&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=31445&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)
alpha23.8020118961658
beta-0.741463612962031
S.D.0.307377470387073
T-STAT-2.41222498196866
p-value0.0948275281674557
Lambda1.74146361296203


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')