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 computationSat, 11 Aug 2012 10:27:59 -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/2012/Aug/11/t13446953448x1qoq4ntgv57ha.htm/, Retrieved Mon, 06 May 2024 15:40:28 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=169223, Retrieved Mon, 06 May 2024 15:40:28 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact151

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [] [2008-12-08 19:22:39] [d2d412c7f4d35ffbf5ee5ee89db327d4]
- RMP   [Standard Deviation-Mean Plot] [] [2011-12-06 19:52:37] [b98453cac15ba1066b407e146608df68]
- R  D      [Standard Deviation-Mean Plot] [Berekening 13] [2012-08-11 14:27:59] [0b94335bf72158573fe52322b9537409] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
6
3
3
7
9
11
13
11
9
17
22
25
20
24
24
22
19
18
17
11
11
12
10
15
15
15
13
8
13
9
7
4
4
2
0
2
3
1
2
1
1
3
4
9
9
7
14
12
16
20
12
12
10
10

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=169223&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=169223&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=169223&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
111.33333333333336.9587529359966822
216.91666666666675.1071844820148514
37.666666666666675.365433699886615
45.54.5626945786653113

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 11.3333333333333 & 6.95875293599668 & 22 \tabularnewline
2 & 16.9166666666667 & 5.10718448201485 & 14 \tabularnewline
3 & 7.66666666666667 & 5.3654336998866 & 15 \tabularnewline
4 & 5.5 & 4.56269457866531 & 13 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=169223&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]11.3333333333333[/C][C]6.95875293599668[/C][C]22[/C][/ROW]
[ROW][C]2[/C][C]16.9166666666667[/C][C]5.10718448201485[/C][C]14[/C][/ROW]
[ROW][C]3[/C][C]7.66666666666667[/C][C]5.3654336998866[/C][C]15[/C][/ROW]
[ROW][C]4[/C][C]5.5[/C][C]4.56269457866531[/C][C]13[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=169223&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=169223&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
111.33333333333336.9587529359966822
216.91666666666675.1071844820148514
37.666666666666675.365433699886615
45.54.5626945786653113






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha4.97783849424291
beta0.0502868020826997
S.D.0.141357439366931
T-STAT0.355742168986004
p-value0.756051981351295

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 4.97783849424291 \tabularnewline
beta & 0.0502868020826997 \tabularnewline
S.D. & 0.141357439366931 \tabularnewline
T-STAT & 0.355742168986004 \tabularnewline
p-value & 0.756051981351295 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=169223&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]4.97783849424291[/C][/ROW]
[ROW][C]beta[/C][C]0.0502868020826997[/C][/ROW]
[ROW][C]S.D.[/C][C]0.141357439366931[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.355742168986004[/C][/ROW]
[ROW][C]p-value[/C][C]0.756051981351295[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=169223&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=169223&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)
alpha4.97783849424291
beta0.0502868020826997
S.D.0.141357439366931
T-STAT0.355742168986004
p-value0.756051981351295






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha1.35543826353841
beta0.149681522027886
S.D.0.237328807195053
T-STAT0.630692598159258
p-value0.592700677706993
Lambda0.850318477972114

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 1.35543826353841 \tabularnewline
beta & 0.149681522027886 \tabularnewline
S.D. & 0.237328807195053 \tabularnewline
T-STAT & 0.630692598159258 \tabularnewline
p-value & 0.592700677706993 \tabularnewline
Lambda & 0.850318477972114 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=169223&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]1.35543826353841[/C][/ROW]
[ROW][C]beta[/C][C]0.149681522027886[/C][/ROW]
[ROW][C]S.D.[/C][C]0.237328807195053[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.630692598159258[/C][/ROW]
[ROW][C]p-value[/C][C]0.592700677706993[/C][/ROW]
[ROW][C]Lambda[/C][C]0.850318477972114[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=169223&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=169223&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)
alpha1.35543826353841
beta0.149681522027886
S.D.0.237328807195053
T-STAT0.630692598159258
p-value0.592700677706993
Lambda0.850318477972114


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')