Free Statistics

of Irreproducible Research!

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_variability.wasp
Title produced by softwareVariability
Date of computationMon, 19 Oct 2009 16:02:33 -0600
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Oct/20/t1255989978l73w6h9luh4s5ro.htm/, Retrieved Thu, 02 May 2024 20:11:51 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=48285, Retrieved Thu, 02 May 2024 20:11:51 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsWSP2ST3BMLDG
Estimated Impact132
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [Workshop 3: part ...] [2009-10-19 21:13:54] [7c2a5b25a196bd646844b8f5223c9b3e]
- RMP     [Variability] [Workshop 3: part ...] [2009-10-19 22:02:33] [3d2053c5f7c50d3c075d87ce0bd87294] [Current]
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Dataseries X:
0.88
0.86
0.87
0.88
0.88
0.89
0.89
0.89
0.89
0.87
0.86
0.86
0.87
0.89
0.90
0.90
0.89
0.91
0.91
0.92
0.92
0.90
0.88
0.87
0.89
0.90
0.91
0.91
0.92
0.93
0.92
0.93
0.93
0.89
0.87
0.86
0.89
0.91
0.91
0.92
0.93
0.93
0.93
0.94
0.93
0.90
0.88
0.87
0.91
0.94
0.96
0.98
1.00
1.02
1.04
1.04
1.04
1.03
1.00
0.98
1.02




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=48285&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=48285&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=48285&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'George Udny Yule' @ 72.249.76.132







Variability - Ungrouped Data
Absolute range0.18
Relative range (unbiased)3.64281073515321
Relative range (biased)3.67304204799644
Variance (unbiased)0.00244158469945355
Variance (biased)0.00240155872077399
Standard Deviation (unbiased)0.0494123941886401
Standard Deviation (biased)0.0490057009007522
Coefficient of Variation (unbiased)0.0537857966721457
Coefficient of Variation (biased)0.0533431076899694
Mean Squared Error (MSE versus 0)0.846390163934426
Mean Squared Error (MSE versus Mean)0.00240155872077399
Mean Absolute Deviation from Mean (MAD Mean)0.0371405536146197
Mean Absolute Deviation from Median (MAD Median)0.0355737704918033
Median Absolute Deviation from Mean0.0286885245901639
Median Absolute Deviation from Median0.02
Mean Squared Deviation from Mean0.00240155872077399
Mean Squared Deviation from Median0.00247704918032787
Interquartile Difference (Weighted Average at Xnp)0.0475
Interquartile Difference (Weighted Average at X(n+1)p)0.045
Interquartile Difference (Empirical Distribution Function)0.04
Interquartile Difference (Empirical Distribution Function - Averaging)0.04
Interquartile Difference (Empirical Distribution Function - Interpolation)0.04
Interquartile Difference (Closest Observation)0.05
Interquartile Difference (True Basic - Statistics Graphics Toolkit)0.045
Interquartile Difference (MS Excel (old versions))0.045
Semi Interquartile Difference (Weighted Average at Xnp)0.02375
Semi Interquartile Difference (Weighted Average at X(n+1)p)0.0225
Semi Interquartile Difference (Empirical Distribution Function)0.02
Semi Interquartile Difference (Empirical Distribution Function - Averaging)0.02
Semi Interquartile Difference (Empirical Distribution Function - Interpolation)0.02
Semi Interquartile Difference (Closest Observation)0.025
Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit)0.0225
Semi Interquartile Difference (MS Excel (old versions))0.0225
Coefficient of Quartile Variation (Weighted Average at Xnp)0.0262068965517241
Coefficient of Quartile Variation (Weighted Average at X(n+1)p)0.0247933884297521
Coefficient of Quartile Variation (Empirical Distribution Function)0.021978021978022
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)0.021978021978022
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)0.021978021978022
Coefficient of Quartile Variation (Closest Observation)0.0276243093922652
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)0.0247933884297521
Coefficient of Quartile Variation (MS Excel (old versions))0.0247933884297521
Number of all Pairs of Observations1830
Squared Differences between all Pairs of Observations0.00488316939890708
Mean Absolute Differences between all Pairs of Observations0.0525573770491805
Gini Mean Difference0.0525573770491808
Leik Measure of Dispersion0.512514870330716
Index of Diversity0.983559910046918
Index of Qualitative Variation0.999952575214366
Coefficient of Dispersion0.0408137951809008
Observations61

\begin{tabular}{lllllllll}
\hline
Variability - Ungrouped Data \tabularnewline
Absolute range & 0.18 \tabularnewline
Relative range (unbiased) & 3.64281073515321 \tabularnewline
Relative range (biased) & 3.67304204799644 \tabularnewline
Variance (unbiased) & 0.00244158469945355 \tabularnewline
Variance (biased) & 0.00240155872077399 \tabularnewline
Standard Deviation (unbiased) & 0.0494123941886401 \tabularnewline
Standard Deviation (biased) & 0.0490057009007522 \tabularnewline
Coefficient of Variation (unbiased) & 0.0537857966721457 \tabularnewline
Coefficient of Variation (biased) & 0.0533431076899694 \tabularnewline
Mean Squared Error (MSE versus 0) & 0.846390163934426 \tabularnewline
Mean Squared Error (MSE versus Mean) & 0.00240155872077399 \tabularnewline
Mean Absolute Deviation from Mean (MAD Mean) & 0.0371405536146197 \tabularnewline
Mean Absolute Deviation from Median (MAD Median) & 0.0355737704918033 \tabularnewline
Median Absolute Deviation from Mean & 0.0286885245901639 \tabularnewline
Median Absolute Deviation from Median & 0.02 \tabularnewline
Mean Squared Deviation from Mean & 0.00240155872077399 \tabularnewline
Mean Squared Deviation from Median & 0.00247704918032787 \tabularnewline
Interquartile Difference (Weighted Average at Xnp) & 0.0475 \tabularnewline
Interquartile Difference (Weighted Average at X(n+1)p) & 0.045 \tabularnewline
Interquartile Difference (Empirical Distribution Function) & 0.04 \tabularnewline
Interquartile Difference (Empirical Distribution Function - Averaging) & 0.04 \tabularnewline
Interquartile Difference (Empirical Distribution Function - Interpolation) & 0.04 \tabularnewline
Interquartile Difference (Closest Observation) & 0.05 \tabularnewline
Interquartile Difference (True Basic - Statistics Graphics Toolkit) & 0.045 \tabularnewline
Interquartile Difference (MS Excel (old versions)) & 0.045 \tabularnewline
Semi Interquartile Difference (Weighted Average at Xnp) & 0.02375 \tabularnewline
Semi Interquartile Difference (Weighted Average at X(n+1)p) & 0.0225 \tabularnewline
Semi Interquartile Difference (Empirical Distribution Function) & 0.02 \tabularnewline
Semi Interquartile Difference (Empirical Distribution Function - Averaging) & 0.02 \tabularnewline
Semi Interquartile Difference (Empirical Distribution Function - Interpolation) & 0.02 \tabularnewline
Semi Interquartile Difference (Closest Observation) & 0.025 \tabularnewline
Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit) & 0.0225 \tabularnewline
Semi Interquartile Difference (MS Excel (old versions)) & 0.0225 \tabularnewline
Coefficient of Quartile Variation (Weighted Average at Xnp) & 0.0262068965517241 \tabularnewline
Coefficient of Quartile Variation (Weighted Average at X(n+1)p) & 0.0247933884297521 \tabularnewline
Coefficient of Quartile Variation (Empirical Distribution Function) & 0.021978021978022 \tabularnewline
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging) & 0.021978021978022 \tabularnewline
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation) & 0.021978021978022 \tabularnewline
Coefficient of Quartile Variation (Closest Observation) & 0.0276243093922652 \tabularnewline
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit) & 0.0247933884297521 \tabularnewline
Coefficient of Quartile Variation (MS Excel (old versions)) & 0.0247933884297521 \tabularnewline
Number of all Pairs of Observations & 1830 \tabularnewline
Squared Differences between all Pairs of Observations & 0.00488316939890708 \tabularnewline
Mean Absolute Differences between all Pairs of Observations & 0.0525573770491805 \tabularnewline
Gini Mean Difference & 0.0525573770491808 \tabularnewline
Leik Measure of Dispersion & 0.512514870330716 \tabularnewline
Index of Diversity & 0.983559910046918 \tabularnewline
Index of Qualitative Variation & 0.999952575214366 \tabularnewline
Coefficient of Dispersion & 0.0408137951809008 \tabularnewline
Observations & 61 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=48285&T=1

[TABLE]
[ROW][C]Variability - Ungrouped Data[/C][/ROW]
[ROW][C]Absolute range[/C][C]0.18[/C][/ROW]
[ROW][C]Relative range (unbiased)[/C][C]3.64281073515321[/C][/ROW]
[ROW][C]Relative range (biased)[/C][C]3.67304204799644[/C][/ROW]
[ROW][C]Variance (unbiased)[/C][C]0.00244158469945355[/C][/ROW]
[ROW][C]Variance (biased)[/C][C]0.00240155872077399[/C][/ROW]
[ROW][C]Standard Deviation (unbiased)[/C][C]0.0494123941886401[/C][/ROW]
[ROW][C]Standard Deviation (biased)[/C][C]0.0490057009007522[/C][/ROW]
[ROW][C]Coefficient of Variation (unbiased)[/C][C]0.0537857966721457[/C][/ROW]
[ROW][C]Coefficient of Variation (biased)[/C][C]0.0533431076899694[/C][/ROW]
[ROW][C]Mean Squared Error (MSE versus 0)[/C][C]0.846390163934426[/C][/ROW]
[ROW][C]Mean Squared Error (MSE versus Mean)[/C][C]0.00240155872077399[/C][/ROW]
[ROW][C]Mean Absolute Deviation from Mean (MAD Mean)[/C][C]0.0371405536146197[/C][/ROW]
[ROW][C]Mean Absolute Deviation from Median (MAD Median)[/C][C]0.0355737704918033[/C][/ROW]
[ROW][C]Median Absolute Deviation from Mean[/C][C]0.0286885245901639[/C][/ROW]
[ROW][C]Median Absolute Deviation from Median[/C][C]0.02[/C][/ROW]
[ROW][C]Mean Squared Deviation from Mean[/C][C]0.00240155872077399[/C][/ROW]
[ROW][C]Mean Squared Deviation from Median[/C][C]0.00247704918032787[/C][/ROW]
[ROW][C]Interquartile Difference (Weighted Average at Xnp)[/C][C]0.0475[/C][/ROW]
[ROW][C]Interquartile Difference (Weighted Average at X(n+1)p)[/C][C]0.045[/C][/ROW]
[ROW][C]Interquartile Difference (Empirical Distribution Function)[/C][C]0.04[/C][/ROW]
[ROW][C]Interquartile Difference (Empirical Distribution Function - Averaging)[/C][C]0.04[/C][/ROW]
[ROW][C]Interquartile Difference (Empirical Distribution Function - Interpolation)[/C][C]0.04[/C][/ROW]
[ROW][C]Interquartile Difference (Closest Observation)[/C][C]0.05[/C][/ROW]
[ROW][C]Interquartile Difference (True Basic - Statistics Graphics Toolkit)[/C][C]0.045[/C][/ROW]
[ROW][C]Interquartile Difference (MS Excel (old versions))[/C][C]0.045[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Weighted Average at Xnp)[/C][C]0.02375[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Weighted Average at X(n+1)p)[/C][C]0.0225[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Empirical Distribution Function)[/C][C]0.02[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Empirical Distribution Function - Averaging)[/C][C]0.02[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Empirical Distribution Function - Interpolation)[/C][C]0.02[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Closest Observation)[/C][C]0.025[/C][/ROW]
[ROW][C]Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit)[/C][C]0.0225[/C][/ROW]
[ROW][C]Semi Interquartile Difference (MS Excel (old versions))[/C][C]0.0225[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Weighted Average at Xnp)[/C][C]0.0262068965517241[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Weighted Average at X(n+1)p)[/C][C]0.0247933884297521[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Empirical Distribution Function)[/C][C]0.021978021978022[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)[/C][C]0.021978021978022[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)[/C][C]0.021978021978022[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Closest Observation)[/C][C]0.0276243093922652[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)[/C][C]0.0247933884297521[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (MS Excel (old versions))[/C][C]0.0247933884297521[/C][/ROW]
[ROW][C]Number of all Pairs of Observations[/C][C]1830[/C][/ROW]
[ROW][C]Squared Differences between all Pairs of Observations[/C][C]0.00488316939890708[/C][/ROW]
[ROW][C]Mean Absolute Differences between all Pairs of Observations[/C][C]0.0525573770491805[/C][/ROW]
[ROW][C]Gini Mean Difference[/C][C]0.0525573770491808[/C][/ROW]
[ROW][C]Leik Measure of Dispersion[/C][C]0.512514870330716[/C][/ROW]
[ROW][C]Index of Diversity[/C][C]0.983559910046918[/C][/ROW]
[ROW][C]Index of Qualitative Variation[/C][C]0.999952575214366[/C][/ROW]
[ROW][C]Coefficient of Dispersion[/C][C]0.0408137951809008[/C][/ROW]
[ROW][C]Observations[/C][C]61[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=48285&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=48285&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 range0.18
Relative range (unbiased)3.64281073515321
Relative range (biased)3.67304204799644
Variance (unbiased)0.00244158469945355
Variance (biased)0.00240155872077399
Standard Deviation (unbiased)0.0494123941886401
Standard Deviation (biased)0.0490057009007522
Coefficient of Variation (unbiased)0.0537857966721457
Coefficient of Variation (biased)0.0533431076899694
Mean Squared Error (MSE versus 0)0.846390163934426
Mean Squared Error (MSE versus Mean)0.00240155872077399
Mean Absolute Deviation from Mean (MAD Mean)0.0371405536146197
Mean Absolute Deviation from Median (MAD Median)0.0355737704918033
Median Absolute Deviation from Mean0.0286885245901639
Median Absolute Deviation from Median0.02
Mean Squared Deviation from Mean0.00240155872077399
Mean Squared Deviation from Median0.00247704918032787
Interquartile Difference (Weighted Average at Xnp)0.0475
Interquartile Difference (Weighted Average at X(n+1)p)0.045
Interquartile Difference (Empirical Distribution Function)0.04
Interquartile Difference (Empirical Distribution Function - Averaging)0.04
Interquartile Difference (Empirical Distribution Function - Interpolation)0.04
Interquartile Difference (Closest Observation)0.05
Interquartile Difference (True Basic - Statistics Graphics Toolkit)0.045
Interquartile Difference (MS Excel (old versions))0.045
Semi Interquartile Difference (Weighted Average at Xnp)0.02375
Semi Interquartile Difference (Weighted Average at X(n+1)p)0.0225
Semi Interquartile Difference (Empirical Distribution Function)0.02
Semi Interquartile Difference (Empirical Distribution Function - Averaging)0.02
Semi Interquartile Difference (Empirical Distribution Function - Interpolation)0.02
Semi Interquartile Difference (Closest Observation)0.025
Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit)0.0225
Semi Interquartile Difference (MS Excel (old versions))0.0225
Coefficient of Quartile Variation (Weighted Average at Xnp)0.0262068965517241
Coefficient of Quartile Variation (Weighted Average at X(n+1)p)0.0247933884297521
Coefficient of Quartile Variation (Empirical Distribution Function)0.021978021978022
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)0.021978021978022
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)0.021978021978022
Coefficient of Quartile Variation (Closest Observation)0.0276243093922652
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)0.0247933884297521
Coefficient of Quartile Variation (MS Excel (old versions))0.0247933884297521
Number of all Pairs of Observations1830
Squared Differences between all Pairs of Observations0.00488316939890708
Mean Absolute Differences between all Pairs of Observations0.0525573770491805
Gini Mean Difference0.0525573770491808
Leik Measure of Dispersion0.512514870330716
Index of Diversity0.983559910046918
Index of Qualitative Variation0.999952575214366
Coefficient of Dispersion0.0408137951809008
Observations61



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')