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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 computationFri, 10 Dec 2010 14:31:08 +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/10/t1291991514ay8jfac7yfp343f.htm/, Retrieved Mon, 29 Apr 2024 14:53:59 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=107724, Retrieved Mon, 29 Apr 2024 14:53:59 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W83
Estimated Impact135

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] [Opgave 8; Opdrach...] [2010-12-10 14:31:08] [516d1a4ad1f0b8513272cbee80fe4619] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
13,81
13,9
13,91
13,94
13,96
14,01
14,01
14,06
14,09
14,13
14,12
14,13
14,14
14,16
14,21
14,26
14,29
14,32
14,33
14,39
14,48
14,44
14,46
14,48
14,53
14,58
14,62
14,62
14,61
14,65
14,68
14,7
14,78
14,84
14,89
14,89
15,13
15,25
15,33
15,36
15,4
15,4
15,41
15,47
15,54
15,55
15,59
15,65
15,75
15,86
15,89
15,94
15,93
15,95
15,99
15,99
16,06
16,08
16,07
16,11
16,15
16,18
16,3
16,42
16,49
16,5
16,58
16,64
16,66
16,81
16,91
16,92
16,95
17,11
17,16
17,16
17,27
17,34
17,39
17,43
17,45
17,5
17,56
17,65

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'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=107724&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=107724&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=107724&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'Gwilym Jenkins' @ 72.249.127.135






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
114.00583333333330.1040505413321580.32
214.330.1219537915471560.34
314.69916666666670.1225826869974520.360000000000001
415.42333333333330.1480376692438500.52
515.96833333333330.1046060430492630.359999999999999
616.54666666666670.2589255187161440.770000000000003
717.33083333333330.2059328369477130.700

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 14.0058333333333 & 0.104050541332158 & 0.32 \tabularnewline
2 & 14.33 & 0.121953791547156 & 0.34 \tabularnewline
3 & 14.6991666666667 & 0.122582686997452 & 0.360000000000001 \tabularnewline
4 & 15.4233333333333 & 0.148037669243850 & 0.52 \tabularnewline
5 & 15.9683333333333 & 0.104606043049263 & 0.359999999999999 \tabularnewline
6 & 16.5466666666667 & 0.258925518716144 & 0.770000000000003 \tabularnewline
7 & 17.3308333333333 & 0.205932836947713 & 0.700 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=107724&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]14.0058333333333[/C][C]0.104050541332158[/C][C]0.32[/C][/ROW]
[ROW][C]2[/C][C]14.33[/C][C]0.121953791547156[/C][C]0.34[/C][/ROW]
[ROW][C]3[/C][C]14.6991666666667[/C][C]0.122582686997452[/C][C]0.360000000000001[/C][/ROW]
[ROW][C]4[/C][C]15.4233333333333[/C][C]0.148037669243850[/C][C]0.52[/C][/ROW]
[ROW][C]5[/C][C]15.9683333333333[/C][C]0.104606043049263[/C][C]0.359999999999999[/C][/ROW]
[ROW][C]6[/C][C]16.5466666666667[/C][C]0.258925518716144[/C][C]0.770000000000003[/C][/ROW]
[ROW][C]7[/C][C]17.3308333333333[/C][C]0.205932836947713[/C][C]0.700[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=107724&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=107724&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
114.00583333333330.1040505413321580.32
214.330.1219537915471560.34
314.69916666666670.1225826869974520.360000000000001
415.42333333333330.1480376692438500.52
515.96833333333330.1046060430492630.359999999999999
616.54666666666670.2589255187161440.770000000000003
717.33083333333330.2059328369477130.700






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-0.401953606871987
beta0.0358228538693123
S.D.0.0143988939391447
T-STAT2.48788927960116
p-value0.0553038625176709

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -0.401953606871987 \tabularnewline
beta & 0.0358228538693123 \tabularnewline
S.D. & 0.0143988939391447 \tabularnewline
T-STAT & 2.48788927960116 \tabularnewline
p-value & 0.0553038625176709 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=107724&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-0.401953606871987[/C][/ROW]
[ROW][C]beta[/C][C]0.0358228538693123[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0143988939391447[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.48788927960116[/C][/ROW]
[ROW][C]p-value[/C][C]0.0553038625176709[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=107724&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=107724&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-0.401953606871987
beta0.0358228538693123
S.D.0.0143988939391447
T-STAT2.48788927960116
p-value0.0553038625176709






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-11.1060919438674
beta3.35046484193553
S.D.1.32293612285712
T-STAT2.53259759412994
p-value0.0523639063551824
Lambda-2.35046484193553

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -11.1060919438674 \tabularnewline
beta & 3.35046484193553 \tabularnewline
S.D. & 1.32293612285712 \tabularnewline
T-STAT & 2.53259759412994 \tabularnewline
p-value & 0.0523639063551824 \tabularnewline
Lambda & -2.35046484193553 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=107724&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-11.1060919438674[/C][/ROW]
[ROW][C]beta[/C][C]3.35046484193553[/C][/ROW]
[ROW][C]S.D.[/C][C]1.32293612285712[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.53259759412994[/C][/ROW]
[ROW][C]p-value[/C][C]0.0523639063551824[/C][/ROW]
[ROW][C]Lambda[/C][C]-2.35046484193553[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=107724&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=107724&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-11.1060919438674
beta3.35046484193553
S.D.1.32293612285712
T-STAT2.53259759412994
p-value0.0523639063551824
Lambda-2.35046484193553


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')