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 computationSun, 14 Dec 2008 07:20:37 -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/2008/Dec/14/t1229264852xx2y4w7z9g76ak6.htm/, Retrieved Wed, 15 May 2024 01:48:31 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=33393, Retrieved Wed, 15 May 2024 01:48:31 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact168

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] [standard deviatio...] [2008-12-14 14:20:37] [d300b7a0882cee7d84584ad37a3d4ede] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
101,73
101,63
101,43
101,34
101,01
100,89
100,93
100,77
100,3
99,86
99,71
99,93
99,88
99,92
99,87
99,63
100,05
99,88
100,11
100,05
100,07
100,2
100,21
99,76
99,41
99,24
99,65
99,7
99,79
99,84
101
101,62
101,98
101,46
102,28
102,14
102,02
102,21
101,61
102,38
102,19
102,04
101,76
101,9
102,01
102,37
103,04
103,42
103,76
104,41
104,75
104,28
103,89
104,09
103,8
105,03
105,86
106,04
106,03
106,13
107,21
107,66
108,08
108,76
108,26
108,71
108,65
108,61
108,86
109,54
108,22
108,77
109,9
110,13
109,6
110,42
110,6
109,73
110,72
111,08
111,14
111,01
110,56
111,57

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 3 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=33393&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=33393&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=33393&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 time3 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1100.7941666666670.7000319256788932.02000000000001
299.96916666666670.1761434504928150.579999999999998
3100.6758333333331.174783990460553.04000000000001
4102.2458333333330.5183971508993911.81000000000000
5104.8391666666670.9446640416122292.36999999999999
6108.4441666666670.6086566181254272.33000000000001
7110.5383333333330.610630573235321.97

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 100.794166666667 & 0.700031925678893 & 2.02000000000001 \tabularnewline
2 & 99.9691666666667 & 0.176143450492815 & 0.579999999999998 \tabularnewline
3 & 100.675833333333 & 1.17478399046055 & 3.04000000000001 \tabularnewline
4 & 102.245833333333 & 0.518397150899391 & 1.81000000000000 \tabularnewline
5 & 104.839166666667 & 0.944664041612229 & 2.36999999999999 \tabularnewline
6 & 108.444166666667 & 0.608656618125427 & 2.33000000000001 \tabularnewline
7 & 110.538333333333 & 0.61063057323532 & 1.97 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=33393&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]100.794166666667[/C][C]0.700031925678893[/C][C]2.02000000000001[/C][/ROW]
[ROW][C]2[/C][C]99.9691666666667[/C][C]0.176143450492815[/C][C]0.579999999999998[/C][/ROW]
[ROW][C]3[/C][C]100.675833333333[/C][C]1.17478399046055[/C][C]3.04000000000001[/C][/ROW]
[ROW][C]4[/C][C]102.245833333333[/C][C]0.518397150899391[/C][C]1.81000000000000[/C][/ROW]
[ROW][C]5[/C][C]104.839166666667[/C][C]0.944664041612229[/C][C]2.36999999999999[/C][/ROW]
[ROW][C]6[/C][C]108.444166666667[/C][C]0.608656618125427[/C][C]2.33000000000001[/C][/ROW]
[ROW][C]7[/C][C]110.538333333333[/C][C]0.61063057323532[/C][C]1.97[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=33393&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=33393&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
1100.7941666666670.7000319256788932.02000000000001
299.96916666666670.1761434504928150.579999999999998
3100.6758333333331.174783990460553.04000000000001
4102.2458333333330.5183971508993911.81000000000000
5104.8391666666670.9446640416122292.36999999999999
6108.4441666666670.6086566181254272.33000000000001
7110.5383333333330.610630573235321.97






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha0.621059397915637
beta0.000530430830088844
S.D.0.0341392677432434
T-STAT0.0155372644216665
p-value0.988204470466192

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.621059397915637 \tabularnewline
beta & 0.000530430830088844 \tabularnewline
S.D. & 0.0341392677432434 \tabularnewline
T-STAT & 0.0155372644216665 \tabularnewline
p-value & 0.988204470466192 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=33393&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.621059397915637[/C][/ROW]
[ROW][C]beta[/C][C]0.000530430830088844[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0341392677432434[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.0155372644216665[/C][/ROW]
[ROW][C]p-value[/C][C]0.988204470466192[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=33393&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=33393&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)
alpha0.621059397915637
beta0.000530430830088844
S.D.0.0341392677432434
T-STAT0.0155372644216665
p-value0.988204470466192






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-15.0868052072537
beta3.13747688464124
S.D.6.70099235156213
T-STAT0.468210784319106
p-value0.659334231706791
Lambda-2.13747688464124

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -15.0868052072537 \tabularnewline
beta & 3.13747688464124 \tabularnewline
S.D. & 6.70099235156213 \tabularnewline
T-STAT & 0.468210784319106 \tabularnewline
p-value & 0.659334231706791 \tabularnewline
Lambda & -2.13747688464124 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=33393&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-15.0868052072537[/C][/ROW]
[ROW][C]beta[/C][C]3.13747688464124[/C][/ROW]
[ROW][C]S.D.[/C][C]6.70099235156213[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.468210784319106[/C][/ROW]
[ROW][C]p-value[/C][C]0.659334231706791[/C][/ROW]
[ROW][C]Lambda[/C][C]-2.13747688464124[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=33393&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=33393&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-15.0868052072537
beta3.13747688464124
S.D.6.70099235156213
T-STAT0.468210784319106
p-value0.659334231706791
Lambda-2.13747688464124


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')