Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_variability.wasp
Title produced by softwareVariability
Date of computationMon, 10 Dec 2012 09:18:59 -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/2012/Dec/10/t1355149215sc3kw9m6f12xgqf.htm/, Retrieved Fri, 29 Mar 2024 06:34:21 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=198163, Retrieved Fri, 29 Mar 2024 06:34:21 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact65
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Variability] [Spreidingsmaten: ...] [2012-12-10 14:18:59] [546261a30dc8ed318e881c0522cbd66e] [Current]
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Dataseries X:
73,97
73,97
73,97
73,97
73,97
73,97
73,96
74,44
75,43
75,77
75,82
75,85
75,85
75,85
77,95
82,07
84,82
85,08
85,34
85,65
85,65
85,72
85,73
85,73
85,73
85,73
85,74
86,32
87,59
87,81
87,87
87,94
87,96
88,01
88,01
88,01
88,01
88,01
88,59
89,43
89,63
89,73
89,88
89,89
89,9
89,91
89,86
90,07
90,17
90,17
90,28
90,87
92,05
92,1
92,16
92,22
92,25
92,29
92,29
92,29
92,29
92,29
91,95
91,82
92,16
92,31
92,33
92,4
92,54
92,49
92,54
92,58




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gertrude Mary Cox' @ cox.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 & 1 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=198163&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=198163&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=198163&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 time1 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net







Variability - Ungrouped Data
Absolute range18.62
Relative range (unbiased)2.91900104150871
Relative range (biased)2.93948551065927
Variance (unbiased)40.690296400626
Variance (biased)40.1251533950618
Standard Deviation (unbiased)6.37889460648363
Standard Deviation (biased)6.33444183768876
Coefficient of Variation (unbiased)0.0738749254731899
Coefficient of Variation (biased)0.0733601113581455
Mean Squared Error (MSE versus 0)7495.96793888889
Mean Squared Error (MSE versus Mean)40.1251533950617
Mean Absolute Deviation from Mean (MAD Mean)5.10200617283951
Mean Absolute Deviation from Median (MAD Median)4.75694444444445
Median Absolute Deviation from Mean4.40000000000001
Median Absolute Deviation from Median3.5
Mean Squared Deviation from Mean40.1251533950617
Mean Squared Deviation from Median42.8899833333334
Interquartile Difference (Weighted Average at Xnp)6.87
Interquartile Difference (Weighted Average at X(n+1)p)6.87999999999998
Interquartile Difference (Empirical Distribution Function)6.87
Interquartile Difference (Empirical Distribution Function - Averaging)6.78999999999999
Interquartile Difference (Empirical Distribution Function - Interpolation)6.69999999999999
Interquartile Difference (Closest Observation)6.87
Interquartile Difference (True Basic - Statistics Graphics Toolkit)6.70000000000002
Interquartile Difference (MS Excel (old versions))6.97
Semi Interquartile Difference (Weighted Average at Xnp)3.435
Semi Interquartile Difference (Weighted Average at X(n+1)p)3.43999999999999
Semi Interquartile Difference (Empirical Distribution Function)3.435
Semi Interquartile Difference (Empirical Distribution Function - Averaging)3.395
Semi Interquartile Difference (Empirical Distribution Function - Interpolation)3.34999999999999
Semi Interquartile Difference (Closest Observation)3.435
Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit)3.35000000000001
Semi Interquartile Difference (MS Excel (old versions))3.485
Coefficient of Quartile Variation (Weighted Average at Xnp)0.0388069818674801
Coefficient of Quartile Variation (Weighted Average at X(n+1)p)0.0388327594965286
Coefficient of Quartile Variation (Empirical Distribution Function)0.0388069818674801
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)0.0383161221150047
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)0.0377997179125528
Coefficient of Quartile Variation (Closest Observation)0.0388069818674801
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)0.037799717912553
Coefficient of Quartile Variation (MS Excel (old versions))0.0393496302150962
Number of all Pairs of Observations2556
Squared Differences between all Pairs of Observations81.3805928012514
Mean Absolute Differences between all Pairs of Observations6.78848200312989
Gini Mean Difference6.78848200312988
Leik Measure of Dispersion0.498541346195235
Index of Diversity0.986036365195299
Index of Qualitative Variation0.99992420132481
Coefficient of Dispersion0.0579707552873481
Observations72

\begin{tabular}{lllllllll}
\hline
Variability - Ungrouped Data \tabularnewline
Absolute range & 18.62 \tabularnewline
Relative range (unbiased) & 2.91900104150871 \tabularnewline
Relative range (biased) & 2.93948551065927 \tabularnewline
Variance (unbiased) & 40.690296400626 \tabularnewline
Variance (biased) & 40.1251533950618 \tabularnewline
Standard Deviation (unbiased) & 6.37889460648363 \tabularnewline
Standard Deviation (biased) & 6.33444183768876 \tabularnewline
Coefficient of Variation (unbiased) & 0.0738749254731899 \tabularnewline
Coefficient of Variation (biased) & 0.0733601113581455 \tabularnewline
Mean Squared Error (MSE versus 0) & 7495.96793888889 \tabularnewline
Mean Squared Error (MSE versus Mean) & 40.1251533950617 \tabularnewline
Mean Absolute Deviation from Mean (MAD Mean) & 5.10200617283951 \tabularnewline
Mean Absolute Deviation from Median (MAD Median) & 4.75694444444445 \tabularnewline
Median Absolute Deviation from Mean & 4.40000000000001 \tabularnewline
Median Absolute Deviation from Median & 3.5 \tabularnewline
Mean Squared Deviation from Mean & 40.1251533950617 \tabularnewline
Mean Squared Deviation from Median & 42.8899833333334 \tabularnewline
Interquartile Difference (Weighted Average at Xnp) & 6.87 \tabularnewline
Interquartile Difference (Weighted Average at X(n+1)p) & 6.87999999999998 \tabularnewline
Interquartile Difference (Empirical Distribution Function) & 6.87 \tabularnewline
Interquartile Difference (Empirical Distribution Function - Averaging) & 6.78999999999999 \tabularnewline
Interquartile Difference (Empirical Distribution Function - Interpolation) & 6.69999999999999 \tabularnewline
Interquartile Difference (Closest Observation) & 6.87 \tabularnewline
Interquartile Difference (True Basic - Statistics Graphics Toolkit) & 6.70000000000002 \tabularnewline
Interquartile Difference (MS Excel (old versions)) & 6.97 \tabularnewline
Semi Interquartile Difference (Weighted Average at Xnp) & 3.435 \tabularnewline
Semi Interquartile Difference (Weighted Average at X(n+1)p) & 3.43999999999999 \tabularnewline
Semi Interquartile Difference (Empirical Distribution Function) & 3.435 \tabularnewline
Semi Interquartile Difference (Empirical Distribution Function - Averaging) & 3.395 \tabularnewline
Semi Interquartile Difference (Empirical Distribution Function - Interpolation) & 3.34999999999999 \tabularnewline
Semi Interquartile Difference (Closest Observation) & 3.435 \tabularnewline
Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit) & 3.35000000000001 \tabularnewline
Semi Interquartile Difference (MS Excel (old versions)) & 3.485 \tabularnewline
Coefficient of Quartile Variation (Weighted Average at Xnp) & 0.0388069818674801 \tabularnewline
Coefficient of Quartile Variation (Weighted Average at X(n+1)p) & 0.0388327594965286 \tabularnewline
Coefficient of Quartile Variation (Empirical Distribution Function) & 0.0388069818674801 \tabularnewline
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging) & 0.0383161221150047 \tabularnewline
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation) & 0.0377997179125528 \tabularnewline
Coefficient of Quartile Variation (Closest Observation) & 0.0388069818674801 \tabularnewline
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit) & 0.037799717912553 \tabularnewline
Coefficient of Quartile Variation (MS Excel (old versions)) & 0.0393496302150962 \tabularnewline
Number of all Pairs of Observations & 2556 \tabularnewline
Squared Differences between all Pairs of Observations & 81.3805928012514 \tabularnewline
Mean Absolute Differences between all Pairs of Observations & 6.78848200312989 \tabularnewline
Gini Mean Difference & 6.78848200312988 \tabularnewline
Leik Measure of Dispersion & 0.498541346195235 \tabularnewline
Index of Diversity & 0.986036365195299 \tabularnewline
Index of Qualitative Variation & 0.99992420132481 \tabularnewline
Coefficient of Dispersion & 0.0579707552873481 \tabularnewline
Observations & 72 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=198163&T=1

[TABLE]
[ROW][C]Variability - Ungrouped Data[/C][/ROW]
[ROW][C]Absolute range[/C][C]18.62[/C][/ROW]
[ROW][C]Relative range (unbiased)[/C][C]2.91900104150871[/C][/ROW]
[ROW][C]Relative range (biased)[/C][C]2.93948551065927[/C][/ROW]
[ROW][C]Variance (unbiased)[/C][C]40.690296400626[/C][/ROW]
[ROW][C]Variance (biased)[/C][C]40.1251533950618[/C][/ROW]
[ROW][C]Standard Deviation (unbiased)[/C][C]6.37889460648363[/C][/ROW]
[ROW][C]Standard Deviation (biased)[/C][C]6.33444183768876[/C][/ROW]
[ROW][C]Coefficient of Variation (unbiased)[/C][C]0.0738749254731899[/C][/ROW]
[ROW][C]Coefficient of Variation (biased)[/C][C]0.0733601113581455[/C][/ROW]
[ROW][C]Mean Squared Error (MSE versus 0)[/C][C]7495.96793888889[/C][/ROW]
[ROW][C]Mean Squared Error (MSE versus Mean)[/C][C]40.1251533950617[/C][/ROW]
[ROW][C]Mean Absolute Deviation from Mean (MAD Mean)[/C][C]5.10200617283951[/C][/ROW]
[ROW][C]Mean Absolute Deviation from Median (MAD Median)[/C][C]4.75694444444445[/C][/ROW]
[ROW][C]Median Absolute Deviation from Mean[/C][C]4.40000000000001[/C][/ROW]
[ROW][C]Median Absolute Deviation from Median[/C][C]3.5[/C][/ROW]
[ROW][C]Mean Squared Deviation from Mean[/C][C]40.1251533950617[/C][/ROW]
[ROW][C]Mean Squared Deviation from Median[/C][C]42.8899833333334[/C][/ROW]
[ROW][C]Interquartile Difference (Weighted Average at Xnp)[/C][C]6.87[/C][/ROW]
[ROW][C]Interquartile Difference (Weighted Average at X(n+1)p)[/C][C]6.87999999999998[/C][/ROW]
[ROW][C]Interquartile Difference (Empirical Distribution Function)[/C][C]6.87[/C][/ROW]
[ROW][C]Interquartile Difference (Empirical Distribution Function - Averaging)[/C][C]6.78999999999999[/C][/ROW]
[ROW][C]Interquartile Difference (Empirical Distribution Function - Interpolation)[/C][C]6.69999999999999[/C][/ROW]
[ROW][C]Interquartile Difference (Closest Observation)[/C][C]6.87[/C][/ROW]
[ROW][C]Interquartile Difference (True Basic - Statistics Graphics Toolkit)[/C][C]6.70000000000002[/C][/ROW]
[ROW][C]Interquartile Difference (MS Excel (old versions))[/C][C]6.97[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Weighted Average at Xnp)[/C][C]3.435[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Weighted Average at X(n+1)p)[/C][C]3.43999999999999[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Empirical Distribution Function)[/C][C]3.435[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Empirical Distribution Function - Averaging)[/C][C]3.395[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Empirical Distribution Function - Interpolation)[/C][C]3.34999999999999[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Closest Observation)[/C][C]3.435[/C][/ROW]
[ROW][C]Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit)[/C][C]3.35000000000001[/C][/ROW]
[ROW][C]Semi Interquartile Difference (MS Excel (old versions))[/C][C]3.485[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Weighted Average at Xnp)[/C][C]0.0388069818674801[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Weighted Average at X(n+1)p)[/C][C]0.0388327594965286[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Empirical Distribution Function)[/C][C]0.0388069818674801[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)[/C][C]0.0383161221150047[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)[/C][C]0.0377997179125528[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Closest Observation)[/C][C]0.0388069818674801[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)[/C][C]0.037799717912553[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (MS Excel (old versions))[/C][C]0.0393496302150962[/C][/ROW]
[ROW][C]Number of all Pairs of Observations[/C][C]2556[/C][/ROW]
[ROW][C]Squared Differences between all Pairs of Observations[/C][C]81.3805928012514[/C][/ROW]
[ROW][C]Mean Absolute Differences between all Pairs of Observations[/C][C]6.78848200312989[/C][/ROW]
[ROW][C]Gini Mean Difference[/C][C]6.78848200312988[/C][/ROW]
[ROW][C]Leik Measure of Dispersion[/C][C]0.498541346195235[/C][/ROW]
[ROW][C]Index of Diversity[/C][C]0.986036365195299[/C][/ROW]
[ROW][C]Index of Qualitative Variation[/C][C]0.99992420132481[/C][/ROW]
[ROW][C]Coefficient of Dispersion[/C][C]0.0579707552873481[/C][/ROW]
[ROW][C]Observations[/C][C]72[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=198163&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=198163&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 range18.62
Relative range (unbiased)2.91900104150871
Relative range (biased)2.93948551065927
Variance (unbiased)40.690296400626
Variance (biased)40.1251533950618
Standard Deviation (unbiased)6.37889460648363
Standard Deviation (biased)6.33444183768876
Coefficient of Variation (unbiased)0.0738749254731899
Coefficient of Variation (biased)0.0733601113581455
Mean Squared Error (MSE versus 0)7495.96793888889
Mean Squared Error (MSE versus Mean)40.1251533950617
Mean Absolute Deviation from Mean (MAD Mean)5.10200617283951
Mean Absolute Deviation from Median (MAD Median)4.75694444444445
Median Absolute Deviation from Mean4.40000000000001
Median Absolute Deviation from Median3.5
Mean Squared Deviation from Mean40.1251533950617
Mean Squared Deviation from Median42.8899833333334
Interquartile Difference (Weighted Average at Xnp)6.87
Interquartile Difference (Weighted Average at X(n+1)p)6.87999999999998
Interquartile Difference (Empirical Distribution Function)6.87
Interquartile Difference (Empirical Distribution Function - Averaging)6.78999999999999
Interquartile Difference (Empirical Distribution Function - Interpolation)6.69999999999999
Interquartile Difference (Closest Observation)6.87
Interquartile Difference (True Basic - Statistics Graphics Toolkit)6.70000000000002
Interquartile Difference (MS Excel (old versions))6.97
Semi Interquartile Difference (Weighted Average at Xnp)3.435
Semi Interquartile Difference (Weighted Average at X(n+1)p)3.43999999999999
Semi Interquartile Difference (Empirical Distribution Function)3.435
Semi Interquartile Difference (Empirical Distribution Function - Averaging)3.395
Semi Interquartile Difference (Empirical Distribution Function - Interpolation)3.34999999999999
Semi Interquartile Difference (Closest Observation)3.435
Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit)3.35000000000001
Semi Interquartile Difference (MS Excel (old versions))3.485
Coefficient of Quartile Variation (Weighted Average at Xnp)0.0388069818674801
Coefficient of Quartile Variation (Weighted Average at X(n+1)p)0.0388327594965286
Coefficient of Quartile Variation (Empirical Distribution Function)0.0388069818674801
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)0.0383161221150047
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)0.0377997179125528
Coefficient of Quartile Variation (Closest Observation)0.0388069818674801
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)0.037799717912553
Coefficient of Quartile Variation (MS Excel (old versions))0.0393496302150962
Number of all Pairs of Observations2556
Squared Differences between all Pairs of Observations81.3805928012514
Mean Absolute Differences between all Pairs of Observations6.78848200312989
Gini Mean Difference6.78848200312988
Leik Measure of Dispersion0.498541346195235
Index of Diversity0.986036365195299
Index of Qualitative Variation0.99992420132481
Coefficient of Dispersion0.0579707552873481
Observations72



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')