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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, 29 Nov 2012 10:14:25 -0500
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/Nov/29/t1354202414ft2cdau9bhkgy64.htm/, Retrieved Sun, 28 Apr 2024 10:30:46 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=194705, Retrieved Sun, 28 Apr 2024 10:30:46 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact103

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...] [2012-11-29 15:14:25] [4b6fdd269237d5d28b13f97475f55381] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
104,42
104,42
104,42
104,42
104,42
104,42
104,42
104,44
104,44
104,44
105,19
105,19
105,19
106,38
106,38
106,38
106,38
106,38
106,38
106,72
106,73
106,72
108,6
108,6
109,65
109,65
109,65
109,65
109,65
109,65
109,65
109,65
112,27
112,27
112,27
112,27
112,27
114,98
114,98
114,98
114,98
114,98
114,98
116,04
116,59
116,59
116,59
116,59
118,75
118,75
118,75
118,75
118,75
118,75
118,75
119,31
119,31
119,31
119,31
119,31
121,19
121,19
121,19
121,19
121,19
122,91
122,91
122,91
122,91
122,91
122,91
122,91

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' @ fisher.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 & 3 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=194705&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' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=194705&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=194705&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' @ fisher.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1104.5533333333330.297514960153520.769999999999996
2106.7366666666670.9582212055615753.41
3110.5233333333331.28999882546342.61999999999999
4115.3791666666671.24038453226364.32000000000001
5118.9833333333330.2883600443048860.560000000000002
6122.1933333333330.8856772789364311.72

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 104.553333333333 & 0.29751496015352 & 0.769999999999996 \tabularnewline
2 & 106.736666666667 & 0.958221205561575 & 3.41 \tabularnewline
3 & 110.523333333333 & 1.2899988254634 & 2.61999999999999 \tabularnewline
4 & 115.379166666667 & 1.2403845322636 & 4.32000000000001 \tabularnewline
5 & 118.983333333333 & 0.288360044304886 & 0.560000000000002 \tabularnewline
6 & 122.193333333333 & 0.885677278936431 & 1.72 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=194705&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]104.553333333333[/C][C]0.29751496015352[/C][C]0.769999999999996[/C][/ROW]
[ROW][C]2[/C][C]106.736666666667[/C][C]0.958221205561575[/C][C]3.41[/C][/ROW]
[ROW][C]3[/C][C]110.523333333333[/C][C]1.2899988254634[/C][C]2.61999999999999[/C][/ROW]
[ROW][C]4[/C][C]115.379166666667[/C][C]1.2403845322636[/C][C]4.32000000000001[/C][/ROW]
[ROW][C]5[/C][C]118.983333333333[/C][C]0.288360044304886[/C][C]0.560000000000002[/C][/ROW]
[ROW][C]6[/C][C]122.193333333333[/C][C]0.885677278936431[/C][C]1.72[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=194705&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=194705&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
1104.5533333333330.297514960153520.769999999999996
2106.7366666666670.9582212055615753.41
3110.5233333333331.28999882546342.61999999999999
4115.3791666666671.24038453226364.32000000000001
5118.9833333333330.2883600443048860.560000000000002
6122.1933333333330.8856772789364311.72






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha0.452091631960194
beta0.00331325060949692
S.D.0.0316729172533061
T-STAT0.104608318299164
p-value0.921722111242312

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.452091631960194 \tabularnewline
beta & 0.00331325060949692 \tabularnewline
S.D. & 0.0316729172533061 \tabularnewline
T-STAT & 0.104608318299164 \tabularnewline
p-value & 0.921722111242312 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=194705&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.452091631960194[/C][/ROW]
[ROW][C]beta[/C][C]0.00331325060949692[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0316729172533061[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.104608318299164[/C][/ROW]
[ROW][C]p-value[/C][C]0.921722111242312[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=194705&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=194705&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)
alpha0.452091631960194
beta0.00331325060949692
S.D.0.0316729172533061
T-STAT0.104608318299164
p-value0.921722111242312






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-5.23103899535168
beta1.030971073966
S.D.5.56667977622907
T-STAT0.185203948387416
p-value0.862080774846306
Lambda-0.0309710739659981

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -5.23103899535168 \tabularnewline
beta & 1.030971073966 \tabularnewline
S.D. & 5.56667977622907 \tabularnewline
T-STAT & 0.185203948387416 \tabularnewline
p-value & 0.862080774846306 \tabularnewline
Lambda & -0.0309710739659981 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=194705&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-5.23103899535168[/C][/ROW]
[ROW][C]beta[/C][C]1.030971073966[/C][/ROW]
[ROW][C]S.D.[/C][C]5.56667977622907[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.185203948387416[/C][/ROW]
[ROW][C]p-value[/C][C]0.862080774846306[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.0309710739659981[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=194705&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=194705&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-5.23103899535168
beta1.030971073966
S.D.5.56667977622907
T-STAT0.185203948387416
p-value0.862080774846306
Lambda-0.0309710739659981


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')