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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 computationMon, 06 Dec 2010 17:06:55 +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/2010/Dec/06/t1291655394gkw2gdu2p37f3ku.htm/, Retrieved Sun, 28 Apr 2024 20:46:51 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=105712, Retrieved Sun, 28 Apr 2024 20:46:51 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W83
Estimated Impact107

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] [2010-11-30 18:10:32] [2d4109bb9a734792293d3455e890fa94]
-         [Standard Deviation-Mean Plot] [opdracht 8 verbet...] [2010-12-06 17:06:55] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
108
106,6
122,2
115,8
115,6
124,5
121,7
118,7
113,7
113,4
115,1
143,9
101
103,4
121,5
111,9
117,4
124,3
122
119,7
115
112,2
115,3
142,6
104,1
105,3
124,4
113,9
124,8
131,8
125,6
125
119,7
116,1
120
148,1
109,2
109,4
135,1
114,9
129
138,5
125,6
130,4
120,3
126,2
127,6
150,9
114,6
118,6
131,4
124,5
136,8
136,8
136,6
131
125,8
129,4
124,8
157,1
116,6
114,2
128,4
127,3
133,5
137,2
137,7
131,2
127,7
133,9
124,3
160,6

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'RServer@AstonUniversity' @ vre.aston.ac.uk
R Framework error message
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.

\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 & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
R Framework error message & 
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.
 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=105712&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[ROW][C]R Framework error message[/C][C]
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.
[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=105712&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=105712&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'RServer@AstonUniversity' @ vre.aston.ac.uk
R Framework error message
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1118.2666666666679.6890128339769337.3
2117.19166666666710.693282371600841.6
3121.56666666666711.753400539521544
4126.42512.066190556486941.7
5130.61666666666710.91811116975642.5
6131.0511.832121150034446.4

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 118.266666666667 & 9.68901283397693 & 37.3 \tabularnewline
2 & 117.191666666667 & 10.6932823716008 & 41.6 \tabularnewline
3 & 121.566666666667 & 11.7534005395215 & 44 \tabularnewline
4 & 126.425 & 12.0661905564869 & 41.7 \tabularnewline
5 & 130.616666666667 & 10.918111169756 & 42.5 \tabularnewline
6 & 131.05 & 11.8321211500344 & 46.4 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=105712&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]118.266666666667[/C][C]9.68901283397693[/C][C]37.3[/C][/ROW]
[ROW][C]2[/C][C]117.191666666667[/C][C]10.6932823716008[/C][C]41.6[/C][/ROW]
[ROW][C]3[/C][C]121.566666666667[/C][C]11.7534005395215[/C][C]44[/C][/ROW]
[ROW][C]4[/C][C]126.425[/C][C]12.0661905564869[/C][C]41.7[/C][/ROW]
[ROW][C]5[/C][C]130.616666666667[/C][C]10.918111169756[/C][C]42.5[/C][/ROW]
[ROW][C]6[/C][C]131.05[/C][C]11.8321211500344[/C][C]46.4[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=105712&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=105712&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
1118.2666666666679.6890128339769337.3
2117.19166666666710.693282371600841.6
3121.56666666666711.753400539521544
4126.42512.066190556486941.7
5130.61666666666710.91811116975642.5
6131.0511.832121150034446.4






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha0.711607919828767
beta0.0841243712649974
S.D.0.061197134072378
T-STAT1.37464560293793
p-value0.241222883979759

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.711607919828767 \tabularnewline
beta & 0.0841243712649974 \tabularnewline
S.D. & 0.061197134072378 \tabularnewline
T-STAT & 1.37464560293793 \tabularnewline
p-value & 0.241222883979759 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=105712&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.711607919828767[/C][/ROW]
[ROW][C]beta[/C][C]0.0841243712649974[/C][/ROW]
[ROW][C]S.D.[/C][C]0.061197134072378[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.37464560293793[/C][/ROW]
[ROW][C]p-value[/C][C]0.241222883979759[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=105712&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=105712&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)
alpha0.711607919828767
beta0.0841243712649974
S.D.0.061197134072378
T-STAT1.37464560293793
p-value0.241222883979759






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-2.30490353753547
beta0.977911961689139
S.D.0.693418756660886
T-STAT1.41027618923695
p-value0.231273747671409
Lambda0.0220880383108614

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -2.30490353753547 \tabularnewline
beta & 0.977911961689139 \tabularnewline
S.D. & 0.693418756660886 \tabularnewline
T-STAT & 1.41027618923695 \tabularnewline
p-value & 0.231273747671409 \tabularnewline
Lambda & 0.0220880383108614 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=105712&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-2.30490353753547[/C][/ROW]
[ROW][C]beta[/C][C]0.977911961689139[/C][/ROW]
[ROW][C]S.D.[/C][C]0.693418756660886[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.41027618923695[/C][/ROW]
[ROW][C]p-value[/C][C]0.231273747671409[/C][/ROW]
[ROW][C]Lambda[/C][C]0.0220880383108614[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=105712&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=105712&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-2.30490353753547
beta0.977911961689139
S.D.0.693418756660886
T-STAT1.41027618923695
p-value0.231273747671409
Lambda0.0220880383108614


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 12 ;
Parameters (R input):
par1 = 12 ; par2 = ; par3 = ; par4 = ; par5 = ; par6 = ; par7 = ; par8 = ; par9 = ; par10 = ; par11 = ; par12 = ; par13 = ; par14 = ; par15 = ; par16 = ; par17 = ; par18 = ; par19 = ; par20 = ;
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')