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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, 23 Jan 2010 08:12:15 -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/2010/Jan/23/t1264260327u9barrf22xwevrk.htm/, Retrieved Sun, 05 May 2024 08:42:04 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=72361, Retrieved Sun, 05 May 2024 08:42:04 +0000
QR Codes:

Original text written by user:Vebetering. 12 ipv 4 periodes genomen.
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W83
Estimated Impact147

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] [KDGP2W83] [2010-01-06 20:13:13] [8c77cc01643940e7a8195154a75bb218]
-   P     [Standard Deviation-Mean Plot] [Nicolas Van hoeij...] [2010-01-23 15:12:15] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1
4
-3
-3
0
6
-1
0
-1
1
-4
-1
-1
0
3
0
8
8
8
8
11
13
5
12
13
9
11
7
12
11
10
13
14
10
13
12
13
17
15
6
9
6
11
12
13
11
16
16
19
14
15
12
14
16
13
13
15
12
13
12
15
10
8
11
8
13
9
8
8
6
8
6
12
16

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=72361&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=72361&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=72361&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
1-0.08333333333333332.8749176536296710
26.254.8265364958171114
311.252.005673770264567
412.08333333333333.7040109300185611
5142.044949432582187
69.166666666666672.691175253012019

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & -0.0833333333333333 & 2.87491765362967 & 10 \tabularnewline
2 & 6.25 & 4.82653649581711 & 14 \tabularnewline
3 & 11.25 & 2.00567377026456 & 7 \tabularnewline
4 & 12.0833333333333 & 3.70401093001856 & 11 \tabularnewline
5 & 14 & 2.04494943258218 & 7 \tabularnewline
6 & 9.16666666666667 & 2.69117525301201 & 9 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=72361&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]-0.0833333333333333[/C][C]2.87491765362967[/C][C]10[/C][/ROW]
[ROW][C]2[/C][C]6.25[/C][C]4.82653649581711[/C][C]14[/C][/ROW]
[ROW][C]3[/C][C]11.25[/C][C]2.00567377026456[/C][C]7[/C][/ROW]
[ROW][C]4[/C][C]12.0833333333333[/C][C]3.70401093001856[/C][C]11[/C][/ROW]
[ROW][C]5[/C][C]14[/C][C]2.04494943258218[/C][C]7[/C][/ROW]
[ROW][C]6[/C][C]9.16666666666667[/C][C]2.69117525301201[/C][C]9[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=72361&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=72361&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
1-0.08333333333333332.8749176536296710
26.254.8265364958171114
311.252.005673770264567
412.08333333333333.7040109300185611
5142.044949432582187
69.166666666666672.691175253012019






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha3.61805100393521
beta-0.0676147307902625
S.D.0.100710669824098
T-STAT-0.671376040973208
p-value0.538760405193713

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 3.61805100393521 \tabularnewline
beta & -0.0676147307902625 \tabularnewline
S.D. & 0.100710669824098 \tabularnewline
T-STAT & -0.671376040973208 \tabularnewline
p-value & 0.538760405193713 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=72361&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]3.61805100393521[/C][/ROW]
[ROW][C]beta[/C][C]-0.0676147307902625[/C][/ROW]
[ROW][C]S.D.[/C][C]0.100710669824098[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.671376040973208[/C][/ROW]
[ROW][C]p-value[/C][C]0.538760405193713[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=72361&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=72361&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)
alpha3.61805100393521
beta-0.0676147307902625
S.D.0.100710669824098
T-STAT-0.671376040973208
p-value0.538760405193713






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha3.12125351725672
beta-0.889820525588425
S.D.0.483984071949859
T-STAT-1.83853266493574
p-value0.163276153836575
Lambda1.88982052558843

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 3.12125351725672 \tabularnewline
beta & -0.889820525588425 \tabularnewline
S.D. & 0.483984071949859 \tabularnewline
T-STAT & -1.83853266493574 \tabularnewline
p-value & 0.163276153836575 \tabularnewline
Lambda & 1.88982052558843 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=72361&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]3.12125351725672[/C][/ROW]
[ROW][C]beta[/C][C]-0.889820525588425[/C][/ROW]
[ROW][C]S.D.[/C][C]0.483984071949859[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.83853266493574[/C][/ROW]
[ROW][C]p-value[/C][C]0.163276153836575[/C][/ROW]
[ROW][C]Lambda[/C][C]1.88982052558843[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=72361&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=72361&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)
alpha3.12125351725672
beta-0.889820525588425
S.D.0.483984071949859
T-STAT-1.83853266493574
p-value0.163276153836575
Lambda1.88982052558843


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')