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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, 25 Apr 2013 05:13:27 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/Apr/25/t1366881311vzdqmgc2v7h2xv9.htm/, Retrieved Tue, 30 Apr 2024 16:59:53 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=208326, Retrieved Tue, 30 Apr 2024 16:59:53 +0000
QR Codes:

Original text written by user:Standard Deviation - Mean Plot(spreidings- en gemiddeldegrafieken) gem farma consumptieprijzen
IsPrivate?No (this computation is public)
User-defined keywordsStandard Deviation - Mean Plot(spreidings- en gemiddeldegrafieken) gem farma consumptieprijzen
Estimated Impact182

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] [] [2013-04-25 09:13:27] [0941a6a4eb2aa1312aa94e558e86fae5] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
105.71
105.82
105.82
105.72
105.76
105.80
105.09
105.06
105.16
105.20
105.21
105.23
105.19
105.16
104.88
104.52
104.09
104.35
104.48
104.47
104.55
104.59
104.59
104.72
104.65
104.72
104.92
105.05
103.74
103.81
103.79
104.28
103.80
103.80
104.02
104.02
104.91
104.97
103.86
104.17
103.21
103.21
101.91
101.84
101.91
101.79
101.79
101.79
102.09
102.18
102.20
101.97
102.05
102.04
101.78
101.79
101.80
101.83
101.83
101.88
101.90
101.91
101.17
101.17
101.23
101.26
101.49
101.51
101.61
101.39
101.43
101.44

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' @ 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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=208326&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' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=208326&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=208326&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' @ jenkins.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1105.4650.3253669257371360.759999999999991
2104.63250.3169205521319741.09999999999999
3104.2166666666670.4892913861964681.31
4102.9466666666671.272280224516983.17999999999999
5101.9533333333330.1549388931355230.420000000000002
6101.4591666666670.2503255456158610.739999999999995

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 105.465 & 0.325366925737136 & 0.759999999999991 \tabularnewline
2 & 104.6325 & 0.316920552131974 & 1.09999999999999 \tabularnewline
3 & 104.216666666667 & 0.489291386196468 & 1.31 \tabularnewline
4 & 102.946666666667 & 1.27228022451698 & 3.17999999999999 \tabularnewline
5 & 101.953333333333 & 0.154938893135523 & 0.420000000000002 \tabularnewline
6 & 101.459166666667 & 0.250325545615861 & 0.739999999999995 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=208326&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]105.465[/C][C]0.325366925737136[/C][C]0.759999999999991[/C][/ROW]
[ROW][C]2[/C][C]104.6325[/C][C]0.316920552131974[/C][C]1.09999999999999[/C][/ROW]
[ROW][C]3[/C][C]104.216666666667[/C][C]0.489291386196468[/C][C]1.31[/C][/ROW]
[ROW][C]4[/C][C]102.946666666667[/C][C]1.27228022451698[/C][C]3.17999999999999[/C][/ROW]
[ROW][C]5[/C][C]101.953333333333[/C][C]0.154938893135523[/C][C]0.420000000000002[/C][/ROW]
[ROW][C]6[/C][C]101.459166666667[/C][C]0.250325545615861[/C][C]0.739999999999995[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=208326&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=208326&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
1105.4650.3253669257371360.759999999999991
2104.63250.3169205521319741.09999999999999
3104.2166666666670.4892913861964681.31
4102.9466666666671.272280224516983.17999999999999
5101.9533333333330.1549388931355230.420000000000002
6101.4591666666670.2503255456158610.739999999999995






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha0.0764123619382285
beta0.00378725688613103
S.D.0.129267242632348
T-STAT0.0292978855973779
p-value0.978030514340509

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.0764123619382285 \tabularnewline
beta & 0.00378725688613103 \tabularnewline
S.D. & 0.129267242632348 \tabularnewline
T-STAT & 0.0292978855973779 \tabularnewline
p-value & 0.978030514340509 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=208326&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.0764123619382285[/C][/ROW]
[ROW][C]beta[/C][C]0.00378725688613103[/C][/ROW]
[ROW][C]S.D.[/C][C]0.129267242632348[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.0292978855973779[/C][/ROW]
[ROW][C]p-value[/C][C]0.978030514340509[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=208326&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=208326&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)
alpha0.0764123619382285
beta0.00378725688613103
S.D.0.129267242632348
T-STAT0.0292978855973779
p-value0.978030514340509






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-48.8925977879347
beta10.32417896256
S.D.22.7896758782866
T-STAT0.453019999832321
p-value0.674020062148169
Lambda-9.32417896256003

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -48.8925977879347 \tabularnewline
beta & 10.32417896256 \tabularnewline
S.D. & 22.7896758782866 \tabularnewline
T-STAT & 0.453019999832321 \tabularnewline
p-value & 0.674020062148169 \tabularnewline
Lambda & -9.32417896256003 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=208326&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-48.8925977879347[/C][/ROW]
[ROW][C]beta[/C][C]10.32417896256[/C][/ROW]
[ROW][C]S.D.[/C][C]22.7896758782866[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.453019999832321[/C][/ROW]
[ROW][C]p-value[/C][C]0.674020062148169[/C][/ROW]
[ROW][C]Lambda[/C][C]-9.32417896256003[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=208326&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=208326&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)
alpha-48.8925977879347
beta10.32417896256
S.D.22.7896758782866
T-STAT0.453019999832321
p-value0.674020062148169
Lambda-9.32417896256003


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')