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Author's title

Author*Unverified author*
R Software Modulerwasp_variability.wasp
Title produced by softwareVariability
Date of computationWed, 04 Dec 2013 04:55:57 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/Dec/04/t1386150993guxry6ghn3u3aqs.htm/, Retrieved Fri, 29 Mar 2024 08:38:06 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=230473, Retrieved Fri, 29 Mar 2024 08:38:06 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact70
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Variability] [] [2013-12-04 09:55:57] [f0ec65ab0c213345bf099e498b60e56c] [Current]
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Dataseries X:
1,93
2,02
1,85
1,77
1,81
1,67
1,55
1,62
1,79
1,73
1,77
1,95
2,08
2,26
2,02
1,9
1,97
1,76
1,93
1,91
1,96
1,99
1,98
1,96
1,95
2,26
2,07
2,02
2,07
1,88
1,75
1,78
1,87
1,94
2,03
2,13
2,04
2,18
2,02
1,99
2,09
1,88
1,8
1,77
1,85
1,9
2,03
2,02
2,09
2,3
2,16
2,02
2,31
1,98
1,74
1,82
2,07
2,04
2,07
2,13
2,14
2,43
2,26
2,11
2,19
2,04
2,04
2,05
2,08
1,98
2,07
2,12
2,15
2,35
2,19
2,17
2,3
2,09
1,95
1,89
1,95
1,98
1,95
2,06




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net

\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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=230473&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=230473&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=230473&T=0

As an alternative you can also use a 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'Gwilym Jenkins' @ jenkins.wessa.net







Variability - Ungrouped Data
Absolute range0.88
Relative range (unbiased)5.21402561860515
Relative range (biased)5.24534136934924
Variance (unbiased)0.0284851835915089
Variance (biased)0.0281460742630385
Standard Deviation (unbiased)0.168775542041816
Standard Deviation (biased)0.167767917859877
Coefficient of Variation (unbiased)0.0845034602820085
Coefficient of Variation (biased)0.0839989575027102
Mean Squared Error (MSE versus 0)4.01720119047619
Mean Squared Error (MSE versus Mean)0.0281460742630385
Mean Absolute Deviation from Mean (MAD Mean)0.130660430839002
Mean Absolute Deviation from Median (MAD Median)0.130119047619048
Median Absolute Deviation from Mean0.095
Median Absolute Deviation from Median0.0950000000000001
Mean Squared Deviation from Mean0.0281460742630385
Mean Squared Deviation from Median0.0286630952380952
Interquartile Difference (Weighted Average at Xnp)0.2
Interquartile Difference (Weighted Average at X(n+1)p)0.1975
Interquartile Difference (Empirical Distribution Function)0.2
Interquartile Difference (Empirical Distribution Function - Averaging)0.195
Interquartile Difference (Empirical Distribution Function - Interpolation)0.1925
Interquartile Difference (Closest Observation)0.2
Interquartile Difference (True Basic - Statistics Graphics Toolkit)0.1925
Interquartile Difference (MS Excel (old versions))0.2
Semi Interquartile Difference (Weighted Average at Xnp)0.1
Semi Interquartile Difference (Weighted Average at X(n+1)p)0.0987499999999999
Semi Interquartile Difference (Empirical Distribution Function)0.1
Semi Interquartile Difference (Empirical Distribution Function - Averaging)0.0974999999999999
Semi Interquartile Difference (Empirical Distribution Function - Interpolation)0.0962499999999999
Semi Interquartile Difference (Closest Observation)0.1
Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit)0.0962500000000001
Semi Interquartile Difference (MS Excel (old versions))0.1
Coefficient of Quartile Variation (Weighted Average at Xnp)0.050251256281407
Coefficient of Quartile Variation (Weighted Average at X(n+1)p)0.0495919648462021
Coefficient of Quartile Variation (Empirical Distribution Function)0.050251256281407
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)0.0489335006273525
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)0.0482758620689655
Coefficient of Quartile Variation (Closest Observation)0.050251256281407
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)0.0482758620689656
Coefficient of Quartile Variation (MS Excel (old versions))0.050251256281407
Number of all Pairs of Observations3486
Squared Differences between all Pairs of Observations0.0569703671830179
Mean Absolute Differences between all Pairs of Observations0.189830751577738
Gini Mean Difference0.189830751577735
Leik Measure of Dispersion0.502730717828697
Index of Diversity0.98801124018022
Index of Qualitative Variation0.999914990061909
Coefficient of Dispersion0.0646833816034665
Observations84

\begin{tabular}{lllllllll}
\hline
Variability - Ungrouped Data \tabularnewline
Absolute range & 0.88 \tabularnewline
Relative range (unbiased) & 5.21402561860515 \tabularnewline
Relative range (biased) & 5.24534136934924 \tabularnewline
Variance (unbiased) & 0.0284851835915089 \tabularnewline
Variance (biased) & 0.0281460742630385 \tabularnewline
Standard Deviation (unbiased) & 0.168775542041816 \tabularnewline
Standard Deviation (biased) & 0.167767917859877 \tabularnewline
Coefficient of Variation (unbiased) & 0.0845034602820085 \tabularnewline
Coefficient of Variation (biased) & 0.0839989575027102 \tabularnewline
Mean Squared Error (MSE versus 0) & 4.01720119047619 \tabularnewline
Mean Squared Error (MSE versus Mean) & 0.0281460742630385 \tabularnewline
Mean Absolute Deviation from Mean (MAD Mean) & 0.130660430839002 \tabularnewline
Mean Absolute Deviation from Median (MAD Median) & 0.130119047619048 \tabularnewline
Median Absolute Deviation from Mean & 0.095 \tabularnewline
Median Absolute Deviation from Median & 0.0950000000000001 \tabularnewline
Mean Squared Deviation from Mean & 0.0281460742630385 \tabularnewline
Mean Squared Deviation from Median & 0.0286630952380952 \tabularnewline
Interquartile Difference (Weighted Average at Xnp) & 0.2 \tabularnewline
Interquartile Difference (Weighted Average at X(n+1)p) & 0.1975 \tabularnewline
Interquartile Difference (Empirical Distribution Function) & 0.2 \tabularnewline
Interquartile Difference (Empirical Distribution Function - Averaging) & 0.195 \tabularnewline
Interquartile Difference (Empirical Distribution Function - Interpolation) & 0.1925 \tabularnewline
Interquartile Difference (Closest Observation) & 0.2 \tabularnewline
Interquartile Difference (True Basic - Statistics Graphics Toolkit) & 0.1925 \tabularnewline
Interquartile Difference (MS Excel (old versions)) & 0.2 \tabularnewline
Semi Interquartile Difference (Weighted Average at Xnp) & 0.1 \tabularnewline
Semi Interquartile Difference (Weighted Average at X(n+1)p) & 0.0987499999999999 \tabularnewline
Semi Interquartile Difference (Empirical Distribution Function) & 0.1 \tabularnewline
Semi Interquartile Difference (Empirical Distribution Function - Averaging) & 0.0974999999999999 \tabularnewline
Semi Interquartile Difference (Empirical Distribution Function - Interpolation) & 0.0962499999999999 \tabularnewline
Semi Interquartile Difference (Closest Observation) & 0.1 \tabularnewline
Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit) & 0.0962500000000001 \tabularnewline
Semi Interquartile Difference (MS Excel (old versions)) & 0.1 \tabularnewline
Coefficient of Quartile Variation (Weighted Average at Xnp) & 0.050251256281407 \tabularnewline
Coefficient of Quartile Variation (Weighted Average at X(n+1)p) & 0.0495919648462021 \tabularnewline
Coefficient of Quartile Variation (Empirical Distribution Function) & 0.050251256281407 \tabularnewline
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging) & 0.0489335006273525 \tabularnewline
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation) & 0.0482758620689655 \tabularnewline
Coefficient of Quartile Variation (Closest Observation) & 0.050251256281407 \tabularnewline
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit) & 0.0482758620689656 \tabularnewline
Coefficient of Quartile Variation (MS Excel (old versions)) & 0.050251256281407 \tabularnewline
Number of all Pairs of Observations & 3486 \tabularnewline
Squared Differences between all Pairs of Observations & 0.0569703671830179 \tabularnewline
Mean Absolute Differences between all Pairs of Observations & 0.189830751577738 \tabularnewline
Gini Mean Difference & 0.189830751577735 \tabularnewline
Leik Measure of Dispersion & 0.502730717828697 \tabularnewline
Index of Diversity & 0.98801124018022 \tabularnewline
Index of Qualitative Variation & 0.999914990061909 \tabularnewline
Coefficient of Dispersion & 0.0646833816034665 \tabularnewline
Observations & 84 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=230473&T=1

[TABLE]
[ROW][C]Variability - Ungrouped Data[/C][/ROW]
[ROW][C]Absolute range[/C][C]0.88[/C][/ROW]
[ROW][C]Relative range (unbiased)[/C][C]5.21402561860515[/C][/ROW]
[ROW][C]Relative range (biased)[/C][C]5.24534136934924[/C][/ROW]
[ROW][C]Variance (unbiased)[/C][C]0.0284851835915089[/C][/ROW]
[ROW][C]Variance (biased)[/C][C]0.0281460742630385[/C][/ROW]
[ROW][C]Standard Deviation (unbiased)[/C][C]0.168775542041816[/C][/ROW]
[ROW][C]Standard Deviation (biased)[/C][C]0.167767917859877[/C][/ROW]
[ROW][C]Coefficient of Variation (unbiased)[/C][C]0.0845034602820085[/C][/ROW]
[ROW][C]Coefficient of Variation (biased)[/C][C]0.0839989575027102[/C][/ROW]
[ROW][C]Mean Squared Error (MSE versus 0)[/C][C]4.01720119047619[/C][/ROW]
[ROW][C]Mean Squared Error (MSE versus Mean)[/C][C]0.0281460742630385[/C][/ROW]
[ROW][C]Mean Absolute Deviation from Mean (MAD Mean)[/C][C]0.130660430839002[/C][/ROW]
[ROW][C]Mean Absolute Deviation from Median (MAD Median)[/C][C]0.130119047619048[/C][/ROW]
[ROW][C]Median Absolute Deviation from Mean[/C][C]0.095[/C][/ROW]
[ROW][C]Median Absolute Deviation from Median[/C][C]0.0950000000000001[/C][/ROW]
[ROW][C]Mean Squared Deviation from Mean[/C][C]0.0281460742630385[/C][/ROW]
[ROW][C]Mean Squared Deviation from Median[/C][C]0.0286630952380952[/C][/ROW]
[ROW][C]Interquartile Difference (Weighted Average at Xnp)[/C][C]0.2[/C][/ROW]
[ROW][C]Interquartile Difference (Weighted Average at X(n+1)p)[/C][C]0.1975[/C][/ROW]
[ROW][C]Interquartile Difference (Empirical Distribution Function)[/C][C]0.2[/C][/ROW]
[ROW][C]Interquartile Difference (Empirical Distribution Function - Averaging)[/C][C]0.195[/C][/ROW]
[ROW][C]Interquartile Difference (Empirical Distribution Function - Interpolation)[/C][C]0.1925[/C][/ROW]
[ROW][C]Interquartile Difference (Closest Observation)[/C][C]0.2[/C][/ROW]
[ROW][C]Interquartile Difference (True Basic - Statistics Graphics Toolkit)[/C][C]0.1925[/C][/ROW]
[ROW][C]Interquartile Difference (MS Excel (old versions))[/C][C]0.2[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Weighted Average at Xnp)[/C][C]0.1[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Weighted Average at X(n+1)p)[/C][C]0.0987499999999999[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Empirical Distribution Function)[/C][C]0.1[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Empirical Distribution Function - Averaging)[/C][C]0.0974999999999999[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Empirical Distribution Function - Interpolation)[/C][C]0.0962499999999999[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Closest Observation)[/C][C]0.1[/C][/ROW]
[ROW][C]Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit)[/C][C]0.0962500000000001[/C][/ROW]
[ROW][C]Semi Interquartile Difference (MS Excel (old versions))[/C][C]0.1[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Weighted Average at Xnp)[/C][C]0.050251256281407[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Weighted Average at X(n+1)p)[/C][C]0.0495919648462021[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Empirical Distribution Function)[/C][C]0.050251256281407[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)[/C][C]0.0489335006273525[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)[/C][C]0.0482758620689655[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Closest Observation)[/C][C]0.050251256281407[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)[/C][C]0.0482758620689656[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (MS Excel (old versions))[/C][C]0.050251256281407[/C][/ROW]
[ROW][C]Number of all Pairs of Observations[/C][C]3486[/C][/ROW]
[ROW][C]Squared Differences between all Pairs of Observations[/C][C]0.0569703671830179[/C][/ROW]
[ROW][C]Mean Absolute Differences between all Pairs of Observations[/C][C]0.189830751577738[/C][/ROW]
[ROW][C]Gini Mean Difference[/C][C]0.189830751577735[/C][/ROW]
[ROW][C]Leik Measure of Dispersion[/C][C]0.502730717828697[/C][/ROW]
[ROW][C]Index of Diversity[/C][C]0.98801124018022[/C][/ROW]
[ROW][C]Index of Qualitative Variation[/C][C]0.999914990061909[/C][/ROW]
[ROW][C]Coefficient of Dispersion[/C][C]0.0646833816034665[/C][/ROW]
[ROW][C]Observations[/C][C]84[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=230473&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=230473&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Variability - Ungrouped Data
Absolute range0.88
Relative range (unbiased)5.21402561860515
Relative range (biased)5.24534136934924
Variance (unbiased)0.0284851835915089
Variance (biased)0.0281460742630385
Standard Deviation (unbiased)0.168775542041816
Standard Deviation (biased)0.167767917859877
Coefficient of Variation (unbiased)0.0845034602820085
Coefficient of Variation (biased)0.0839989575027102
Mean Squared Error (MSE versus 0)4.01720119047619
Mean Squared Error (MSE versus Mean)0.0281460742630385
Mean Absolute Deviation from Mean (MAD Mean)0.130660430839002
Mean Absolute Deviation from Median (MAD Median)0.130119047619048
Median Absolute Deviation from Mean0.095
Median Absolute Deviation from Median0.0950000000000001
Mean Squared Deviation from Mean0.0281460742630385
Mean Squared Deviation from Median0.0286630952380952
Interquartile Difference (Weighted Average at Xnp)0.2
Interquartile Difference (Weighted Average at X(n+1)p)0.1975
Interquartile Difference (Empirical Distribution Function)0.2
Interquartile Difference (Empirical Distribution Function - Averaging)0.195
Interquartile Difference (Empirical Distribution Function - Interpolation)0.1925
Interquartile Difference (Closest Observation)0.2
Interquartile Difference (True Basic - Statistics Graphics Toolkit)0.1925
Interquartile Difference (MS Excel (old versions))0.2
Semi Interquartile Difference (Weighted Average at Xnp)0.1
Semi Interquartile Difference (Weighted Average at X(n+1)p)0.0987499999999999
Semi Interquartile Difference (Empirical Distribution Function)0.1
Semi Interquartile Difference (Empirical Distribution Function - Averaging)0.0974999999999999
Semi Interquartile Difference (Empirical Distribution Function - Interpolation)0.0962499999999999
Semi Interquartile Difference (Closest Observation)0.1
Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit)0.0962500000000001
Semi Interquartile Difference (MS Excel (old versions))0.1
Coefficient of Quartile Variation (Weighted Average at Xnp)0.050251256281407
Coefficient of Quartile Variation (Weighted Average at X(n+1)p)0.0495919648462021
Coefficient of Quartile Variation (Empirical Distribution Function)0.050251256281407
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)0.0489335006273525
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)0.0482758620689655
Coefficient of Quartile Variation (Closest Observation)0.050251256281407
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)0.0482758620689656
Coefficient of Quartile Variation (MS Excel (old versions))0.050251256281407
Number of all Pairs of Observations3486
Squared Differences between all Pairs of Observations0.0569703671830179
Mean Absolute Differences between all Pairs of Observations0.189830751577738
Gini Mean Difference0.189830751577735
Leik Measure of Dispersion0.502730717828697
Index of Diversity0.98801124018022
Index of Qualitative Variation0.999914990061909
Coefficient of Dispersion0.0646833816034665
Observations84



Parameters (Session):
Parameters (R input):
R code (references can be found in the software module):
num <- 50
res <- array(NA,dim=c(num,3))
q1 <- function(data,n,p,i,f) {
np <- n*p;
i <<- floor(np)
f <<- np - i
qvalue <- (1-f)*data[i] + f*data[i+1]
}
q2 <- function(data,n,p,i,f) {
np <- (n+1)*p
i <<- floor(np)
f <<- np - i
qvalue <- (1-f)*data[i] + f*data[i+1]
}
q3 <- function(data,n,p,i,f) {
np <- n*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- data[i]
} else {
qvalue <- data[i+1]
}
}
q4 <- function(data,n,p,i,f) {
np <- n*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- (data[i]+data[i+1])/2
} else {
qvalue <- data[i+1]
}
}
q5 <- function(data,n,p,i,f) {
np <- (n-1)*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- data[i+1]
} else {
qvalue <- data[i+1] + f*(data[i+2]-data[i+1])
}
}
q6 <- function(data,n,p,i,f) {
np <- n*p+0.5
i <<- floor(np)
f <<- np - i
qvalue <- data[i]
}
q7 <- function(data,n,p,i,f) {
np <- (n+1)*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- data[i]
} else {
qvalue <- f*data[i] + (1-f)*data[i+1]
}
}
q8 <- function(data,n,p,i,f) {
np <- (n+1)*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- data[i]
} else {
if (f == 0.5) {
qvalue <- (data[i]+data[i+1])/2
} else {
if (f < 0.5) {
qvalue <- data[i]
} else {
qvalue <- data[i+1]
}
}
}
}
iqd <- function(x,def) {
x <-sort(x[!is.na(x)])
n<-length(x)
if (def==1) {
qvalue1 <- q1(x,n,0.25,i,f)
qvalue3 <- q1(x,n,0.75,i,f)
}
if (def==2) {
qvalue1 <- q2(x,n,0.25,i,f)
qvalue3 <- q2(x,n,0.75,i,f)
}
if (def==3) {
qvalue1 <- q3(x,n,0.25,i,f)
qvalue3 <- q3(x,n,0.75,i,f)
}
if (def==4) {
qvalue1 <- q4(x,n,0.25,i,f)
qvalue3 <- q4(x,n,0.75,i,f)
}
if (def==5) {
qvalue1 <- q5(x,n,0.25,i,f)
qvalue3 <- q5(x,n,0.75,i,f)
}
if (def==6) {
qvalue1 <- q6(x,n,0.25,i,f)
qvalue3 <- q6(x,n,0.75,i,f)
}
if (def==7) {
qvalue1 <- q7(x,n,0.25,i,f)
qvalue3 <- q7(x,n,0.75,i,f)
}
if (def==8) {
qvalue1 <- q8(x,n,0.25,i,f)
qvalue3 <- q8(x,n,0.75,i,f)
}
iqdiff <- qvalue3 - qvalue1
return(c(iqdiff,iqdiff/2,iqdiff/(qvalue3 + qvalue1)))
}
range <- max(x) - min(x)
lx <- length(x)
biasf <- (lx-1)/lx
varx <- var(x)
bvarx <- varx*biasf
sdx <- sqrt(varx)
mx <- mean(x)
bsdx <- sqrt(bvarx)
x2 <- x*x
mse0 <- sum(x2)/lx
xmm <- x-mx
xmm2 <- xmm*xmm
msem <- sum(xmm2)/lx
axmm <- abs(x - mx)
medx <- median(x)
axmmed <- abs(x - medx)
xmmed <- x - medx
xmmed2 <- xmmed*xmmed
msemed <- sum(xmmed2)/lx
qarr <- array(NA,dim=c(8,3))
for (j in 1:8) {
qarr[j,] <- iqd(x,j)
}
sdpo <- 0
adpo <- 0
for (i in 1:(lx-1)) {
for (j in (i+1):lx) {
ldi <- x[i]-x[j]
aldi <- abs(ldi)
sdpo = sdpo + ldi * ldi
adpo = adpo + aldi
}
}
denom <- (lx*(lx-1)/2)
sdpo = sdpo / denom
adpo = adpo / denom
gmd <- 0
for (i in 1:lx) {
for (j in 1:lx) {
ldi <- abs(x[i]-x[j])
gmd = gmd + ldi
}
}
gmd <- gmd / (lx*(lx-1))
sumx <- sum(x)
pk <- x / sumx
ck <- cumsum(pk)
dk <- array(NA,dim=lx)
for (i in 1:lx) {
if (ck[i] <= 0.5) dk[i] <- ck[i] else dk[i] <- 1 - ck[i]
}
bigd <- sum(dk) * 2 / (lx-1)
iod <- 1 - sum(pk*pk)
res[1,] <- c('Absolute range','absolute.htm', range)
res[2,] <- c('Relative range (unbiased)','relative.htm', range/sd(x))
res[3,] <- c('Relative range (biased)','relative.htm', range/sqrt(varx*biasf))
res[4,] <- c('Variance (unbiased)','unbiased.htm', varx)
res[5,] <- c('Variance (biased)','biased.htm', bvarx)
res[6,] <- c('Standard Deviation (unbiased)','unbiased1.htm', sdx)
res[7,] <- c('Standard Deviation (biased)','biased1.htm', bsdx)
res[8,] <- c('Coefficient of Variation (unbiased)','variation.htm', sdx/mx)
res[9,] <- c('Coefficient of Variation (biased)','variation.htm', bsdx/mx)
res[10,] <- c('Mean Squared Error (MSE versus 0)','mse.htm', mse0)
res[11,] <- c('Mean Squared Error (MSE versus Mean)','mse.htm', msem)
res[12,] <- c('Mean Absolute Deviation from Mean (MAD Mean)', 'mean2.htm', sum(axmm)/lx)
res[13,] <- c('Mean Absolute Deviation from Median (MAD Median)', 'median1.htm', sum(axmmed)/lx)
res[14,] <- c('Median Absolute Deviation from Mean', 'mean3.htm', median(axmm))
res[15,] <- c('Median Absolute Deviation from Median', 'median2.htm', median(axmmed))
res[16,] <- c('Mean Squared Deviation from Mean', 'mean1.htm', msem)
res[17,] <- c('Mean Squared Deviation from Median', 'median.htm', msemed)
load(file='createtable')
mylink1 <- hyperlink('difference.htm','Interquartile Difference','')
mylink2 <- paste(mylink1,hyperlink('method_1.htm','(Weighted Average at Xnp)',''),sep=' ')
res[18,] <- c('', mylink2, qarr[1,1])
mylink2 <- paste(mylink1,hyperlink('method_2.htm','(Weighted Average at X(n+1)p)',''),sep=' ')
res[19,] <- c('', mylink2, qarr[2,1])
mylink2 <- paste(mylink1,hyperlink('method_3.htm','(Empirical Distribution Function)',''),sep=' ')
res[20,] <- c('', mylink2, qarr[3,1])
mylink2 <- paste(mylink1,hyperlink('method_4.htm','(Empirical Distribution Function - Averaging)',''),sep=' ')
res[21,] <- c('', mylink2, qarr[4,1])
mylink2 <- paste(mylink1,hyperlink('method_5.htm','(Empirical Distribution Function - Interpolation)',''),sep=' ')
res[22,] <- c('', mylink2, qarr[5,1])
mylink2 <- paste(mylink1,hyperlink('method_6.htm','(Closest Observation)',''),sep=' ')
res[23,] <- c('', mylink2, qarr[6,1])
mylink2 <- paste(mylink1,hyperlink('method_7.htm','(True Basic - Statistics Graphics Toolkit)',''),sep=' ')
res[24,] <- c('', mylink2, qarr[7,1])
mylink2 <- paste(mylink1,hyperlink('method_8.htm','(MS Excel (old versions))',''),sep=' ')
res[25,] <- c('', mylink2, qarr[8,1])
mylink1 <- hyperlink('deviation.htm','Semi Interquartile Difference','')
mylink2 <- paste(mylink1,hyperlink('method_1.htm','(Weighted Average at Xnp)',''),sep=' ')
res[26,] <- c('', mylink2, qarr[1,2])
mylink2 <- paste(mylink1,hyperlink('method_2.htm','(Weighted Average at X(n+1)p)',''),sep=' ')
res[27,] <- c('', mylink2, qarr[2,2])
mylink2 <- paste(mylink1,hyperlink('method_3.htm','(Empirical Distribution Function)',''),sep=' ')
res[28,] <- c('', mylink2, qarr[3,2])
mylink2 <- paste(mylink1,hyperlink('method_4.htm','(Empirical Distribution Function - Averaging)',''),sep=' ')
res[29,] <- c('', mylink2, qarr[4,2])
mylink2 <- paste(mylink1,hyperlink('method_5.htm','(Empirical Distribution Function - Interpolation)',''),sep=' ')
res[30,] <- c('', mylink2, qarr[5,2])
mylink2 <- paste(mylink1,hyperlink('method_6.htm','(Closest Observation)',''),sep=' ')
res[31,] <- c('', mylink2, qarr[6,2])
mylink2 <- paste(mylink1,hyperlink('method_7.htm','(True Basic - Statistics Graphics Toolkit)',''),sep=' ')
res[32,] <- c('', mylink2, qarr[7,2])
mylink2 <- paste(mylink1,hyperlink('method_8.htm','(MS Excel (old versions))',''),sep=' ')
res[33,] <- c('', mylink2, qarr[8,2])
mylink1 <- hyperlink('variation1.htm','Coefficient of Quartile Variation','')
mylink2 <- paste(mylink1,hyperlink('method_1.htm','(Weighted Average at Xnp)',''),sep=' ')
res[34,] <- c('', mylink2, qarr[1,3])
mylink2 <- paste(mylink1,hyperlink('method_2.htm','(Weighted Average at X(n+1)p)',''),sep=' ')
res[35,] <- c('', mylink2, qarr[2,3])
mylink2 <- paste(mylink1,hyperlink('method_3.htm','(Empirical Distribution Function)',''),sep=' ')
res[36,] <- c('', mylink2, qarr[3,3])
mylink2 <- paste(mylink1,hyperlink('method_4.htm','(Empirical Distribution Function - Averaging)',''),sep=' ')
res[37,] <- c('', mylink2, qarr[4,3])
mylink2 <- paste(mylink1,hyperlink('method_5.htm','(Empirical Distribution Function - Interpolation)',''),sep=' ')
res[38,] <- c('', mylink2, qarr[5,3])
mylink2 <- paste(mylink1,hyperlink('method_6.htm','(Closest Observation)',''),sep=' ')
res[39,] <- c('', mylink2, qarr[6,3])
mylink2 <- paste(mylink1,hyperlink('method_7.htm','(True Basic - Statistics Graphics Toolkit)',''),sep=' ')
res[40,] <- c('', mylink2, qarr[7,3])
mylink2 <- paste(mylink1,hyperlink('method_8.htm','(MS Excel (old versions))',''),sep=' ')
res[41,] <- c('', mylink2, qarr[8,3])
res[42,] <- c('Number of all Pairs of Observations', 'pair_numbers.htm', lx*(lx-1)/2)
res[43,] <- c('Squared Differences between all Pairs of Observations', 'squared_differences.htm', sdpo)
res[44,] <- c('Mean Absolute Differences between all Pairs of Observations', 'mean_abs_differences.htm', adpo)
res[45,] <- c('Gini Mean Difference', 'gini_mean_difference.htm', gmd)
res[46,] <- c('Leik Measure of Dispersion', 'leiks_d.htm', bigd)
res[47,] <- c('Index of Diversity', 'diversity.htm', iod)
res[48,] <- c('Index of Qualitative Variation', 'qualitative_variation.htm', iod*lx/(lx-1))
res[49,] <- c('Coefficient of Dispersion', 'dispersion.htm', sum(axmm)/lx/medx)
res[50,] <- c('Observations', '', lx)
res
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Variability - Ungrouped Data',2,TRUE)
a<-table.row.end(a)
for (i in 1:num) {
a<-table.row.start(a)
if (res[i,1] != '') {
a<-table.element(a,hyperlink(res[i,2],res[i,1],''),header=TRUE)
} else {
a<-table.element(a,res[i,2],header=TRUE)
}
a<-table.element(a,res[i,3])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')