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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 computationMon, 08 Dec 2008 11:10:50 -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/08/t1228759894wdmypljdfi9m04q.htm/, Retrieved Thu, 16 May 2024 19:52:03 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=30639, Retrieved Thu, 16 May 2024 19:52:03 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact193

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] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Standard Deviation-Mean Plot] [SDMP] [2008-12-05 07:29:02] [c5a66f1c8528a963efc2b82a8519f117]
-    D    [Standard Deviation-Mean Plot] [SDMP] [2008-12-05 13:12:40] [c5a66f1c8528a963efc2b82a8519f117]
-    D        [Standard Deviation-Mean Plot] [SDMP woninghuur] [2008-12-08 18:10:50] [b4fc5040f26b33db57f84cfb8d1d2b82] [Current]
- RM D          [Variance Reduction Matrix] [VRM - woninghuur] [2008-12-08 18:17:24] [c5a66f1c8528a963efc2b82a8519f117]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
106,6
106,8
107
107,1
107,3
107,4
107,6
107,7
107,9
108,2
108,3
108,5
108,92
109,23
109,41
109,65
109,91
110,01
110,2
110,49
110,57
110,72
110,94
111,09
111,28
111,41
111,62
111,76
111,89
112,04
112,12
112,3
112,47
112,59
112,78
112,73
112,99
113,1
113,33
113,38
113,68
113,65
113,81
113,88
114,02
114,25
114,28
114,38
114,73
114,97
115,05
115,29
115,37
115,54
115,76
115,92
116,02
116,21
116,26
116,51

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'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=30639&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]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=30639&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=30639&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'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1107.5333333333330.6095204274797961.90000000000001
2110.0950.6957598854359292.17
3112.08250.5058947968249381.5
4113.7291666666670.46164642773711.39
5115.6358333333330.5667845242856381.78

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 107.533333333333 & 0.609520427479796 & 1.90000000000001 \tabularnewline
2 & 110.095 & 0.695759885435929 & 2.17 \tabularnewline
3 & 112.0825 & 0.505894796824938 & 1.5 \tabularnewline
4 & 113.729166666667 & 0.4616464277371 & 1.39 \tabularnewline
5 & 115.635833333333 & 0.566784524285638 & 1.78 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=30639&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]107.533333333333[/C][C]0.609520427479796[/C][C]1.90000000000001[/C][/ROW]
[ROW][C]2[/C][C]110.095[/C][C]0.695759885435929[/C][C]2.17[/C][/ROW]
[ROW][C]3[/C][C]112.0825[/C][C]0.505894796824938[/C][C]1.5[/C][/ROW]
[ROW][C]4[/C][C]113.729166666667[/C][C]0.4616464277371[/C][C]1.39[/C][/ROW]
[ROW][C]5[/C][C]115.635833333333[/C][C]0.566784524285638[/C][C]1.78[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=30639&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=30639&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
1107.5333333333330.6095204274797961.90000000000001
2110.0950.6957598854359292.17
3112.08250.5058947968249381.5
4113.7291666666670.46164642773711.39
5115.6358333333330.5667845242856381.78






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha2.32409684254138
beta-0.0157060592274038
S.D.0.0140424636256665
T-STAT-1.11846892725409
p-value0.344855487115309

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 2.32409684254138 \tabularnewline
beta & -0.0157060592274038 \tabularnewline
S.D. & 0.0140424636256665 \tabularnewline
T-STAT & -1.11846892725409 \tabularnewline
p-value & 0.344855487115309 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=30639&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]2.32409684254138[/C][/ROW]
[ROW][C]beta[/C][C]-0.0157060592274038[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0140424636256665[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.11846892725409[/C][/ROW]
[ROW][C]p-value[/C][C]0.344855487115309[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=30639&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=30639&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)
alpha2.32409684254138
beta-0.0157060592274038
S.D.0.0140424636256665
T-STAT-1.11846892725409
p-value0.344855487115309






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha13.9030261454075
beta-3.06984739481843
S.D.2.74341149278841
T-STAT-1.11898904079396
p-value0.34466511880523
Lambda4.06984739481843

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 13.9030261454075 \tabularnewline
beta & -3.06984739481843 \tabularnewline
S.D. & 2.74341149278841 \tabularnewline
T-STAT & -1.11898904079396 \tabularnewline
p-value & 0.34466511880523 \tabularnewline
Lambda & 4.06984739481843 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=30639&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]13.9030261454075[/C][/ROW]
[ROW][C]beta[/C][C]-3.06984739481843[/C][/ROW]
[ROW][C]S.D.[/C][C]2.74341149278841[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.11898904079396[/C][/ROW]
[ROW][C]p-value[/C][C]0.34466511880523[/C][/ROW]
[ROW][C]Lambda[/C][C]4.06984739481843[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=30639&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=30639&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)
alpha13.9030261454075
beta-3.06984739481843
S.D.2.74341149278841
T-STAT-1.11898904079396
p-value0.34466511880523
Lambda4.06984739481843


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')