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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 computationFri, 21 Nov 2014 10:50:11 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Nov/21/t1416567165vq5i1iayvenrbya.htm/, Retrieved Sun, 19 May 2024 14:42:55 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=257549, Retrieved Sun, 19 May 2024 14:42:55 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsTessa Bertels
Estimated Impact116

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] [] [2014-11-21 10:35:00] [e7e8e094e7ba7df261235586ec2da9e3]
-    D    [Standard Deviation-Mean Plot] [] [2014-11-21 10:50:11] [929039938a2aac5a4cd000b15aa01fe0] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
44.91
44.86
44.76
44.89
44.89
45
45.01
45.11
45.05
44.67
44.48
44.48
44.48
44.58
44.79
44.79
44.41
44.41
44.44
44.43
44.36
44.39
44.39
44.41
44.32
44.43
44.82
44.97
44.91
44.79
44.76
44.8
44.65
44.49
44.56
44.4
44.45
44.46
44.39
44.5
44.44
44.41
44.4
44.42
44.49
44.46
44.49
44.5
44.5
44.5
44.55
44.53
44.49
44.49
44.62
44.59
44.56
44.57
44.04
44.06
44.07
44.1
44.21
44.48
44.51
44.24
44.25
44.27
44.45
44.39
44.23
44.23

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=257549&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=257549&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=257549&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
144.84250.2080701367764770.630000000000003
244.490.1508762286234530.43
344.65833333333330.2144266491805240.649999999999999
444.45083333333330.03941811612428910.109999999999999
544.45833333333330.1951611610640770.579999999999998
644.28583333333330.142219953422560.439999999999998

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 44.8425 & 0.208070136776477 & 0.630000000000003 \tabularnewline
2 & 44.49 & 0.150876228623453 & 0.43 \tabularnewline
3 & 44.6583333333333 & 0.214426649180524 & 0.649999999999999 \tabularnewline
4 & 44.4508333333333 & 0.0394181161242891 & 0.109999999999999 \tabularnewline
5 & 44.4583333333333 & 0.195161161064077 & 0.579999999999998 \tabularnewline
6 & 44.2858333333333 & 0.14221995342256 & 0.439999999999998 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=257549&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]44.8425[/C][C]0.208070136776477[/C][C]0.630000000000003[/C][/ROW]
[ROW][C]2[/C][C]44.49[/C][C]0.150876228623453[/C][C]0.43[/C][/ROW]
[ROW][C]3[/C][C]44.6583333333333[/C][C]0.214426649180524[/C][C]0.649999999999999[/C][/ROW]
[ROW][C]4[/C][C]44.4508333333333[/C][C]0.0394181161242891[/C][C]0.109999999999999[/C][/ROW]
[ROW][C]5[/C][C]44.4583333333333[/C][C]0.195161161064077[/C][C]0.579999999999998[/C][/ROW]
[ROW][C]6[/C][C]44.2858333333333[/C][C]0.14221995342256[/C][C]0.439999999999998[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=257549&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=257549&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
144.84250.2080701367764770.630000000000003
244.490.1508762286234530.43
344.65833333333330.2144266491805240.649999999999999
444.45083333333330.03941811612428910.109999999999999
544.45833333333330.1951611610640770.579999999999998
644.28583333333330.142219953422560.439999999999998






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-7.88947709285518
beta0.180724532434626
S.D.0.143274542088554
T-STAT1.2613862155841
p-value0.275718839239547

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -7.88947709285518 \tabularnewline
beta & 0.180724532434626 \tabularnewline
S.D. & 0.143274542088554 \tabularnewline
T-STAT & 1.2613862155841 \tabularnewline
p-value & 0.275718839239547 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=257549&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-7.88947709285518[/C][/ROW]
[ROW][C]beta[/C][C]0.180724532434626[/C][/ROW]
[ROW][C]S.D.[/C][C]0.143274542088554[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.2613862155841[/C][/ROW]
[ROW][C]p-value[/C][C]0.275718839239547[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=257549&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=257549&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)
alpha-7.88947709285518
beta0.180724532434626
S.D.0.143274542088554
T-STAT1.2613862155841
p-value0.275718839239547






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-226.731006834356
beta59.2072497024614
S.D.67.8706338720362
T-STAT0.872354453239544
p-value0.432250866916237
Lambda-58.2072497024614

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -226.731006834356 \tabularnewline
beta & 59.2072497024614 \tabularnewline
S.D. & 67.8706338720362 \tabularnewline
T-STAT & 0.872354453239544 \tabularnewline
p-value & 0.432250866916237 \tabularnewline
Lambda & -58.2072497024614 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=257549&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-226.731006834356[/C][/ROW]
[ROW][C]beta[/C][C]59.2072497024614[/C][/ROW]
[ROW][C]S.D.[/C][C]67.8706338720362[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.872354453239544[/C][/ROW]
[ROW][C]p-value[/C][C]0.432250866916237[/C][/ROW]
[ROW][C]Lambda[/C][C]-58.2072497024614[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=257549&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=257549&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-226.731006834356
beta59.2072497024614
S.D.67.8706338720362
T-STAT0.872354453239544
p-value0.432250866916237
Lambda-58.2072497024614


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')