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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 computationSat, 07 May 2011 13:05:44 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/May/07/t1304773325fwv25lqoomtfgnd.htm/, Retrieved Sun, 12 May 2024 11:44:48 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=121188, Retrieved Sun, 12 May 2024 11:44:48 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W83
Estimated Impact174

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] [Opdracht 8: oef3 ...] [2011-05-07 13:05:44] [d324b46bbfd5b5abf133f66a31553d9d] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
101397
97994
94044
91159
87239
89235
118647
125620
125154
117529
109459
108483
107137
104699
100804
96066
91971
93228
120144
127233
127166
118194
109940
106683
102834
99882
96666
92540
88744
89321
115870
122401
122030
113802
105791
103076
98658
96945
92497
90687
88796
90015
113228
118711
117460
106556
97347
92657
93118
89037
83570
81693
75956
73993
97088
102394
96549
89727
82336
82653
82303
79596
74472
73562
66618
69029
89899
93774
90305
83799
80320
82497
84420
84646
84186
83269
77793
81145
101691
107357
104253
95963
91432
94324
93855
92183
87600
83641
78195
79604
100846
105293
102518
93132
87479
85476

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'Herman Ole Andreas Wold' @ www.yougetit.org

\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 & 'Herman Ole Andreas Wold' @ www.yougetit.org \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121188&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]'Herman Ole Andreas Wold' @ www.yougetit.org[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121188&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121188&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'Herman Ole Andreas Wold' @ www.yougetit.org






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1105496.66666666713952.189827037838381
2108605.41666666712324.1187068935262
3104413.08333333311887.054918220433657
4100296.41666666710922.074199098229915
587342.83333333338786.6749614850328401
680514.58466.0498838811327156
790873.259791.3675720921729564
890818.58790.8126576453827098

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 105496.666666667 & 13952.1898270378 & 38381 \tabularnewline
2 & 108605.416666667 & 12324.11870689 & 35262 \tabularnewline
3 & 104413.083333333 & 11887.0549182204 & 33657 \tabularnewline
4 & 100296.416666667 & 10922.0741990982 & 29915 \tabularnewline
5 & 87342.8333333333 & 8786.67496148503 & 28401 \tabularnewline
6 & 80514.5 & 8466.04988388113 & 27156 \tabularnewline
7 & 90873.25 & 9791.36757209217 & 29564 \tabularnewline
8 & 90818.5 & 8790.81265764538 & 27098 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121188&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]105496.666666667[/C][C]13952.1898270378[/C][C]38381[/C][/ROW]
[ROW][C]2[/C][C]108605.416666667[/C][C]12324.11870689[/C][C]35262[/C][/ROW]
[ROW][C]3[/C][C]104413.083333333[/C][C]11887.0549182204[/C][C]33657[/C][/ROW]
[ROW][C]4[/C][C]100296.416666667[/C][C]10922.0741990982[/C][C]29915[/C][/ROW]
[ROW][C]5[/C][C]87342.8333333333[/C][C]8786.67496148503[/C][C]28401[/C][/ROW]
[ROW][C]6[/C][C]80514.5[/C][C]8466.04988388113[/C][C]27156[/C][/ROW]
[ROW][C]7[/C][C]90873.25[/C][C]9791.36757209217[/C][C]29564[/C][/ROW]
[ROW][C]8[/C][C]90818.5[/C][C]8790.81265764538[/C][C]27098[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121188&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121188&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
1105496.66666666713952.189827037838381
2108605.41666666712324.1187068935262
3104413.08333333311887.054918220433657
4100296.41666666710922.074199098229915
587342.83333333338786.6749614850328401
680514.58466.0498838811327156
790873.259791.3675720921729564
890818.58790.8126576453827098






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-6798.81338397817
beta0.181309189605631
S.D.0.0326711193441406
T-STAT5.54952487840449
p-value0.00144673608787725

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -6798.81338397817 \tabularnewline
beta & 0.181309189605631 \tabularnewline
S.D. & 0.0326711193441406 \tabularnewline
T-STAT & 5.54952487840449 \tabularnewline
p-value & 0.00144673608787725 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121188&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-6798.81338397817[/C][/ROW]
[ROW][C]beta[/C][C]0.181309189605631[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0326711193441406[/C][/ROW]
[ROW][C]T-STAT[/C][C]5.54952487840449[/C][/ROW]
[ROW][C]p-value[/C][C]0.00144673608787725[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121188&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121188&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-6798.81338397817
beta0.181309189605631
S.D.0.0326711193441406
T-STAT5.54952487840449
p-value0.00144673608787725






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-9.20031409270935
beta1.60933098153111
S.D.0.265835385876581
T-STAT6.05386290551354
p-value0.000920301500585818
Lambda-0.609330981531115

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -9.20031409270935 \tabularnewline
beta & 1.60933098153111 \tabularnewline
S.D. & 0.265835385876581 \tabularnewline
T-STAT & 6.05386290551354 \tabularnewline
p-value & 0.000920301500585818 \tabularnewline
Lambda & -0.609330981531115 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121188&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-9.20031409270935[/C][/ROW]
[ROW][C]beta[/C][C]1.60933098153111[/C][/ROW]
[ROW][C]S.D.[/C][C]0.265835385876581[/C][/ROW]
[ROW][C]T-STAT[/C][C]6.05386290551354[/C][/ROW]
[ROW][C]p-value[/C][C]0.000920301500585818[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.609330981531115[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121188&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121188&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-9.20031409270935
beta1.60933098153111
S.D.0.265835385876581
T-STAT6.05386290551354
p-value0.000920301500585818
Lambda-0.609330981531115


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')