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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, 22 Nov 2007 08:02:53 -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/2007/Nov/22/t1195743381yqt5yk34y6ddgjy.htm/, Retrieved Thu, 02 May 2024 20:18:21 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=6037, Retrieved Thu, 02 May 2024 20:18:21 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsWorkshop 7, question 1, standard deviation mean plot, niet duurzame consumptiegoederen
Estimated Impact170

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] [Workshop 7, quest...] [2007-11-22 15:02:53] [181c187d2008ac66a37ecc12859b08c5] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
112,7
118,4
108,1
105,4
114,6
106,9
115,9
109,8
101,8
114,2
110,8
108,4
127,5
128,6
116,6
127,4
105
108,3
125
111,6
106,5
130,3
115
116,1
134
126,5
125,8
136,4
114,9
110,9
125,5
116,8
116,8
125,5
104,2
115,1
132,8
123,3
124,8
122
117,4
117,9
137,4
114,6
124,7
129,6
109,4
120,9
134,9
136,3
133,2
127,2
122,7
120,5
137,8
119,1
124,3
134,3
121,7
125

Tables (Output of Computation)





Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time6 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\begin{tabular}{lllllllll}
\hline
Summary of compuational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 6 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=6037&T=0

[TABLE]
[ROW][C]Summary of compuational 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]6 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=6037&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6037&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 compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time6 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1110.5833333333334.788591239666015.7
2118.1583333333339.2531526159106111.9
3121.0333333333339.4939534186318628.3
4122.97.8123445439078832
5128.0833333333336.7806989896233332.8

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 110.583333333333 & 4.78859123966601 & 5.7 \tabularnewline
2 & 118.158333333333 & 9.25315261591061 & 11.9 \tabularnewline
3 & 121.033333333333 & 9.49395341863186 & 28.3 \tabularnewline
4 & 122.9 & 7.81234454390788 & 32 \tabularnewline
5 & 128.083333333333 & 6.78069898962333 & 32.8 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6037&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]110.583333333333[/C][C]4.78859123966601[/C][C]5.7[/C][/ROW]
[ROW][C]2[/C][C]118.158333333333[/C][C]9.25315261591061[/C][C]11.9[/C][/ROW]
[ROW][C]3[/C][C]121.033333333333[/C][C]9.49395341863186[/C][C]28.3[/C][/ROW]
[ROW][C]4[/C][C]122.9[/C][C]7.81234454390788[/C][C]32[/C][/ROW]
[ROW][C]5[/C][C]128.083333333333[/C][C]6.78069898962333[/C][C]32.8[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6037&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6037&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
1110.5833333333334.788591239666015.7
2118.1583333333339.2531526159106111.9
3121.0333333333339.4939534186318628.3
4122.97.8123445439078832
5128.0833333333336.7806989896233332.8






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-6.32271382700029
beta0.116090457798185
S.D.0.159259192007139
T-STAT0.728940391666568
p-value0.518790102650781

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -6.32271382700029 \tabularnewline
beta & 0.116090457798185 \tabularnewline
S.D. & 0.159259192007139 \tabularnewline
T-STAT & 0.728940391666568 \tabularnewline
p-value & 0.518790102650781 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6037&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-6.32271382700029[/C][/ROW]
[ROW][C]beta[/C][C]0.116090457798185[/C][/ROW]
[ROW][C]S.D.[/C][C]0.159259192007139[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.728940391666568[/C][/ROW]
[ROW][C]p-value[/C][C]0.518790102650781[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6037&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6037&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-6.32271382700029
beta0.116090457798185
S.D.0.159259192007139
T-STAT0.728940391666568
p-value0.518790102650781






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-10.0956802931247
beta2.52695556310102
S.D.2.58419794578873
T-STAT0.977849071979568
p-value0.400263366029660
Lambda-1.52695556310102

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -10.0956802931247 \tabularnewline
beta & 2.52695556310102 \tabularnewline
S.D. & 2.58419794578873 \tabularnewline
T-STAT & 0.977849071979568 \tabularnewline
p-value & 0.400263366029660 \tabularnewline
Lambda & -1.52695556310102 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6037&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-10.0956802931247[/C][/ROW]
[ROW][C]beta[/C][C]2.52695556310102[/C][/ROW]
[ROW][C]S.D.[/C][C]2.58419794578873[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.977849071979568[/C][/ROW]
[ROW][C]p-value[/C][C]0.400263366029660[/C][/ROW]
[ROW][C]Lambda[/C][C]-1.52695556310102[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6037&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6037&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-10.0956802931247
beta2.52695556310102
S.D.2.58419794578873
T-STAT0.977849071979568
p-value0.400263366029660
Lambda-1.52695556310102


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')