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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 computationThu, 06 Aug 2015 11:58:01 +0100
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/Aug/06/t14388587383e4c7xr1t5x8hkx.htm/, Retrieved Thu, 16 May 2024 08:22:35 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=279868, Retrieved Thu, 16 May 2024 08:22:35 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact119

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] [] [2015-08-06 10:58:01] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
5947968.00
5925816.00
5903352.00
5856864.00
6316752.00
6292416.00
5947968.00
5718960.00
5741112.00
5741112.00
5765760.00
5810064.00
5879016.00
5879016.00
5834712.00
5718960.00
6316752.00
6407856.00
6270264.00
5947968.00
6085872.00
5879016.00
5972304.00
6016920.00
6063408.00
5947968.00
5972304.00
5810064.00
6316752.00
6476808.00
6339216.00
6085872.00
6361368.00
6063408.00
6339216.00
6316752.00
6385704.00
6132360.00
6407856.00
6385704.00
6799104.00
6705816.00
6339216.00
6154512.00
6407856.00
6063408.00
6316752.00
6361368.00
6454656.00
6248112.00
6361368.00
6430320.00
6683664.00
6476808.00
6201312.00
5903352.00
6179160.00
5421000.00
5787912.00
5994456.00
6201312.00
5903352.00
5903352.00
5903352.00
6063408.00
5834712.00
5534568.00
5283408.00
5465616.00
4754256.00
5190120.00
5443464.00
5489952.00
5236608.00
5258760.00
5190120.00
5421000.00
5258760.00
4938960.00
4707768.00
5098704.00
4249752.00
4801056.00
5052216.00
5052216.00
4754256.00
4478760.00
4456608.00
4707768.00
4478760.00
4043208.00
3743064.00
4065360.00
3307512.00
3996408.00
4363008.00
4478760.00
4225416.00
3905304.00
4134312.00
4225416.00
4156464.00
3467256.00
3147456.00
3376152.00
2687256.00
3398616.00
3651960.00
3858504.00
3514056.00
3191760.00
3376152.00
3467256.00
3285048.00
2596152.00
2296008.00
2571504.00
1813656.00
2640456.00
3147456.00

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' @ jenkins.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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=279868&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' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=279868&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=279868&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' @ jenkins.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
15914012200415.913793836597792
26017388212654.764806503688896
36174428208587.250819324666744
46371638213412.497427357735696
56178510351439.2470182111262664
65623410419009.9518280071447056
75058638344584.1508749091240200
84287244480272.8608992641744704
93737864536289.072150121791504
102979834593524.1012503962044848

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 5914012 & 200415.913793836 & 597792 \tabularnewline
2 & 6017388 & 212654.764806503 & 688896 \tabularnewline
3 & 6174428 & 208587.250819324 & 666744 \tabularnewline
4 & 6371638 & 213412.497427357 & 735696 \tabularnewline
5 & 6178510 & 351439.247018211 & 1262664 \tabularnewline
6 & 5623410 & 419009.951828007 & 1447056 \tabularnewline
7 & 5058638 & 344584.150874909 & 1240200 \tabularnewline
8 & 4287244 & 480272.860899264 & 1744704 \tabularnewline
9 & 3737864 & 536289.07215012 & 1791504 \tabularnewline
10 & 2979834 & 593524.101250396 & 2044848 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=279868&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]5914012[/C][C]200415.913793836[/C][C]597792[/C][/ROW]
[ROW][C]2[/C][C]6017388[/C][C]212654.764806503[/C][C]688896[/C][/ROW]
[ROW][C]3[/C][C]6174428[/C][C]208587.250819324[/C][C]666744[/C][/ROW]
[ROW][C]4[/C][C]6371638[/C][C]213412.497427357[/C][C]735696[/C][/ROW]
[ROW][C]5[/C][C]6178510[/C][C]351439.247018211[/C][C]1262664[/C][/ROW]
[ROW][C]6[/C][C]5623410[/C][C]419009.951828007[/C][C]1447056[/C][/ROW]
[ROW][C]7[/C][C]5058638[/C][C]344584.150874909[/C][C]1240200[/C][/ROW]
[ROW][C]8[/C][C]4287244[/C][C]480272.860899264[/C][C]1744704[/C][/ROW]
[ROW][C]9[/C][C]3737864[/C][C]536289.07215012[/C][C]1791504[/C][/ROW]
[ROW][C]10[/C][C]2979834[/C][C]593524.101250396[/C][C]2044848[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=279868&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=279868&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
15914012200415.913793836597792
26017388212654.764806503688896
36174428208587.250819324666744
46371638213412.497427357735696
56178510351439.2470182111262664
65623410419009.9518280071447056
75058638344584.1508749091240200
84287244480272.8608992641744704
93737864536289.072150121791504
102979834593524.1012503962044848






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha948289.022383594
beta-0.113151792219188
S.D.0.0185894327362386
T-STAT-6.08688784777212
p-value0.000293686871073619

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 948289.022383594 \tabularnewline
beta & -0.113151792219188 \tabularnewline
S.D. & 0.0185894327362386 \tabularnewline
T-STAT & -6.08688784777212 \tabularnewline
p-value & 0.000293686871073619 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=279868&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]948289.022383594[/C][/ROW]
[ROW][C]beta[/C][C]-0.113151792219188[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0185894327362386[/C][/ROW]
[ROW][C]T-STAT[/C][C]-6.08688784777212[/C][/ROW]
[ROW][C]p-value[/C][C]0.000293686871073619[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=279868&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=279868&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)
alpha948289.022383594
beta-0.113151792219188
S.D.0.0185894327362386
T-STAT-6.08688784777212
p-value0.000293686871073619






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha34.1057901261422
beta-1.38589065989076
S.D.0.316605261909546
T-STAT-4.37734563074543
p-value0.00235715681397508
Lambda2.38589065989076

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 34.1057901261422 \tabularnewline
beta & -1.38589065989076 \tabularnewline
S.D. & 0.316605261909546 \tabularnewline
T-STAT & -4.37734563074543 \tabularnewline
p-value & 0.00235715681397508 \tabularnewline
Lambda & 2.38589065989076 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=279868&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]34.1057901261422[/C][/ROW]
[ROW][C]beta[/C][C]-1.38589065989076[/C][/ROW]
[ROW][C]S.D.[/C][C]0.316605261909546[/C][/ROW]
[ROW][C]T-STAT[/C][C]-4.37734563074543[/C][/ROW]
[ROW][C]p-value[/C][C]0.00235715681397508[/C][/ROW]
[ROW][C]Lambda[/C][C]2.38589065989076[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=279868&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=279868&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)
alpha34.1057901261422
beta-1.38589065989076
S.D.0.316605261909546
T-STAT-4.37734563074543
p-value0.00235715681397508
Lambda2.38589065989076


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')