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 computationTue, 18 Dec 2012 13:02:30 -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/18/t1355853774tf8ajm9enswsqgq.htm/, Retrieved Fri, 29 Mar 2024 13:47:14 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=201531, Retrieved Fri, 29 Mar 2024 13:47:14 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact78
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Variability] [Variantie expecte...] [2012-12-18 18:02:30] [64435dfec13c3cda39d1733fd4b6eb52] [Current]
Feedback Forum

Post a new message
Dataseries X:
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
4
4
4
4
4
4
4
5
5
5




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.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 & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=201531&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]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=201531&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=201531&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'Sir Ronald Aylmer Fisher' @ fisher.wessa.net







Variability - Ungrouped Data
Absolute range4
Relative range (unbiased)3.89040106363604
Relative range (biased)3.90447127615837
Variance (unbiased)1.05713689917631
Variance (biased)1.04953159774339
Standard Deviation (unbiased)1.02817162924111
Standard Deviation (biased)1.02446649420242
Coefficient of Variation (unbiased)0.521590717023773
Coefficient of Variation (biased)0.519711104723123
Mean Squared Error (MSE versus 0)4.93525179856115
Mean Squared Error (MSE versus Mean)1.04953159774339
Mean Absolute Deviation from Mean (MAD Mean)0.824491485947932
Mean Absolute Deviation from Median (MAD Median)0.820143884892086
Median Absolute Deviation from Mean0.971223021582734
Median Absolute Deviation from Median1
Mean Squared Deviation from Mean1.04953159774339
Mean Squared Deviation from Median1.05035971223022
Interquartile Difference (Weighted Average at Xnp)2
Interquartile Difference (Weighted Average at X(n+1)p)2
Interquartile Difference (Empirical Distribution Function)2
Interquartile Difference (Empirical Distribution Function - Averaging)2
Interquartile Difference (Empirical Distribution Function - Interpolation)2
Interquartile Difference (Closest Observation)2
Interquartile Difference (True Basic - Statistics Graphics Toolkit)2
Interquartile Difference (MS Excel (old versions))2
Semi Interquartile Difference (Weighted Average at Xnp)1
Semi Interquartile Difference (Weighted Average at X(n+1)p)1
Semi Interquartile Difference (Empirical Distribution Function)1
Semi Interquartile Difference (Empirical Distribution Function - Averaging)1
Semi Interquartile Difference (Empirical Distribution Function - Interpolation)1
Semi Interquartile Difference (Closest Observation)1
Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit)1
Semi Interquartile Difference (MS Excel (old versions))1
Coefficient of Quartile Variation (Weighted Average at Xnp)0.5
Coefficient of Quartile Variation (Weighted Average at X(n+1)p)0.5
Coefficient of Quartile Variation (Empirical Distribution Function)0.5
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)0.5
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)0.5
Coefficient of Quartile Variation (Closest Observation)0.5
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)0.5
Coefficient of Quartile Variation (MS Excel (old versions))0.5
Number of all Pairs of Observations9591
Squared Differences between all Pairs of Observations2.11427379835262
Mean Absolute Differences between all Pairs of Observations1.09394223751434
Gini Mean Difference1.09394223751434
Leik Measure of Dispersion0.452872104093938
Index of Diversity0.990862592572859
Index of Qualitative Variation0.998042756287156
Coefficient of Dispersion0.412245742973966
Observations139

\begin{tabular}{lllllllll}
\hline
Variability - Ungrouped Data \tabularnewline
Absolute range & 4 \tabularnewline
Relative range (unbiased) & 3.89040106363604 \tabularnewline
Relative range (biased) & 3.90447127615837 \tabularnewline
Variance (unbiased) & 1.05713689917631 \tabularnewline
Variance (biased) & 1.04953159774339 \tabularnewline
Standard Deviation (unbiased) & 1.02817162924111 \tabularnewline
Standard Deviation (biased) & 1.02446649420242 \tabularnewline
Coefficient of Variation (unbiased) & 0.521590717023773 \tabularnewline
Coefficient of Variation (biased) & 0.519711104723123 \tabularnewline
Mean Squared Error (MSE versus 0) & 4.93525179856115 \tabularnewline
Mean Squared Error (MSE versus Mean) & 1.04953159774339 \tabularnewline
Mean Absolute Deviation from Mean (MAD Mean) & 0.824491485947932 \tabularnewline
Mean Absolute Deviation from Median (MAD Median) & 0.820143884892086 \tabularnewline
Median Absolute Deviation from Mean & 0.971223021582734 \tabularnewline
Median Absolute Deviation from Median & 1 \tabularnewline
Mean Squared Deviation from Mean & 1.04953159774339 \tabularnewline
Mean Squared Deviation from Median & 1.05035971223022 \tabularnewline
Interquartile Difference (Weighted Average at Xnp) & 2 \tabularnewline
Interquartile Difference (Weighted Average at X(n+1)p) & 2 \tabularnewline
Interquartile Difference (Empirical Distribution Function) & 2 \tabularnewline
Interquartile Difference (Empirical Distribution Function - Averaging) & 2 \tabularnewline
Interquartile Difference (Empirical Distribution Function - Interpolation) & 2 \tabularnewline
Interquartile Difference (Closest Observation) & 2 \tabularnewline
Interquartile Difference (True Basic - Statistics Graphics Toolkit) & 2 \tabularnewline
Interquartile Difference (MS Excel (old versions)) & 2 \tabularnewline
Semi Interquartile Difference (Weighted Average at Xnp) & 1 \tabularnewline
Semi Interquartile Difference (Weighted Average at X(n+1)p) & 1 \tabularnewline
Semi Interquartile Difference (Empirical Distribution Function) & 1 \tabularnewline
Semi Interquartile Difference (Empirical Distribution Function - Averaging) & 1 \tabularnewline
Semi Interquartile Difference (Empirical Distribution Function - Interpolation) & 1 \tabularnewline
Semi Interquartile Difference (Closest Observation) & 1 \tabularnewline
Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit) & 1 \tabularnewline
Semi Interquartile Difference (MS Excel (old versions)) & 1 \tabularnewline
Coefficient of Quartile Variation (Weighted Average at Xnp) & 0.5 \tabularnewline
Coefficient of Quartile Variation (Weighted Average at X(n+1)p) & 0.5 \tabularnewline
Coefficient of Quartile Variation (Empirical Distribution Function) & 0.5 \tabularnewline
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging) & 0.5 \tabularnewline
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation) & 0.5 \tabularnewline
Coefficient of Quartile Variation (Closest Observation) & 0.5 \tabularnewline
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit) & 0.5 \tabularnewline
Coefficient of Quartile Variation (MS Excel (old versions)) & 0.5 \tabularnewline
Number of all Pairs of Observations & 9591 \tabularnewline
Squared Differences between all Pairs of Observations & 2.11427379835262 \tabularnewline
Mean Absolute Differences between all Pairs of Observations & 1.09394223751434 \tabularnewline
Gini Mean Difference & 1.09394223751434 \tabularnewline
Leik Measure of Dispersion & 0.452872104093938 \tabularnewline
Index of Diversity & 0.990862592572859 \tabularnewline
Index of Qualitative Variation & 0.998042756287156 \tabularnewline
Coefficient of Dispersion & 0.412245742973966 \tabularnewline
Observations & 139 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=201531&T=1

[TABLE]
[ROW][C]Variability - Ungrouped Data[/C][/ROW]
[ROW][C]Absolute range[/C][C]4[/C][/ROW]
[ROW][C]Relative range (unbiased)[/C][C]3.89040106363604[/C][/ROW]
[ROW][C]Relative range (biased)[/C][C]3.90447127615837[/C][/ROW]
[ROW][C]Variance (unbiased)[/C][C]1.05713689917631[/C][/ROW]
[ROW][C]Variance (biased)[/C][C]1.04953159774339[/C][/ROW]
[ROW][C]Standard Deviation (unbiased)[/C][C]1.02817162924111[/C][/ROW]
[ROW][C]Standard Deviation (biased)[/C][C]1.02446649420242[/C][/ROW]
[ROW][C]Coefficient of Variation (unbiased)[/C][C]0.521590717023773[/C][/ROW]
[ROW][C]Coefficient of Variation (biased)[/C][C]0.519711104723123[/C][/ROW]
[ROW][C]Mean Squared Error (MSE versus 0)[/C][C]4.93525179856115[/C][/ROW]
[ROW][C]Mean Squared Error (MSE versus Mean)[/C][C]1.04953159774339[/C][/ROW]
[ROW][C]Mean Absolute Deviation from Mean (MAD Mean)[/C][C]0.824491485947932[/C][/ROW]
[ROW][C]Mean Absolute Deviation from Median (MAD Median)[/C][C]0.820143884892086[/C][/ROW]
[ROW][C]Median Absolute Deviation from Mean[/C][C]0.971223021582734[/C][/ROW]
[ROW][C]Median Absolute Deviation from Median[/C][C]1[/C][/ROW]
[ROW][C]Mean Squared Deviation from Mean[/C][C]1.04953159774339[/C][/ROW]
[ROW][C]Mean Squared Deviation from Median[/C][C]1.05035971223022[/C][/ROW]
[ROW][C]Interquartile Difference (Weighted Average at Xnp)[/C][C]2[/C][/ROW]
[ROW][C]Interquartile Difference (Weighted Average at X(n+1)p)[/C][C]2[/C][/ROW]
[ROW][C]Interquartile Difference (Empirical Distribution Function)[/C][C]2[/C][/ROW]
[ROW][C]Interquartile Difference (Empirical Distribution Function - Averaging)[/C][C]2[/C][/ROW]
[ROW][C]Interquartile Difference (Empirical Distribution Function - Interpolation)[/C][C]2[/C][/ROW]
[ROW][C]Interquartile Difference (Closest Observation)[/C][C]2[/C][/ROW]
[ROW][C]Interquartile Difference (True Basic - Statistics Graphics Toolkit)[/C][C]2[/C][/ROW]
[ROW][C]Interquartile Difference (MS Excel (old versions))[/C][C]2[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Weighted Average at Xnp)[/C][C]1[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Weighted Average at X(n+1)p)[/C][C]1[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Empirical Distribution Function)[/C][C]1[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Empirical Distribution Function - Averaging)[/C][C]1[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Empirical Distribution Function - Interpolation)[/C][C]1[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Closest Observation)[/C][C]1[/C][/ROW]
[ROW][C]Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit)[/C][C]1[/C][/ROW]
[ROW][C]Semi Interquartile Difference (MS Excel (old versions))[/C][C]1[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Weighted Average at Xnp)[/C][C]0.5[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Weighted Average at X(n+1)p)[/C][C]0.5[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Empirical Distribution Function)[/C][C]0.5[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)[/C][C]0.5[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)[/C][C]0.5[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Closest Observation)[/C][C]0.5[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)[/C][C]0.5[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (MS Excel (old versions))[/C][C]0.5[/C][/ROW]
[ROW][C]Number of all Pairs of Observations[/C][C]9591[/C][/ROW]
[ROW][C]Squared Differences between all Pairs of Observations[/C][C]2.11427379835262[/C][/ROW]
[ROW][C]Mean Absolute Differences between all Pairs of Observations[/C][C]1.09394223751434[/C][/ROW]
[ROW][C]Gini Mean Difference[/C][C]1.09394223751434[/C][/ROW]
[ROW][C]Leik Measure of Dispersion[/C][C]0.452872104093938[/C][/ROW]
[ROW][C]Index of Diversity[/C][C]0.990862592572859[/C][/ROW]
[ROW][C]Index of Qualitative Variation[/C][C]0.998042756287156[/C][/ROW]
[ROW][C]Coefficient of Dispersion[/C][C]0.412245742973966[/C][/ROW]
[ROW][C]Observations[/C][C]139[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=201531&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=201531&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 range4
Relative range (unbiased)3.89040106363604
Relative range (biased)3.90447127615837
Variance (unbiased)1.05713689917631
Variance (biased)1.04953159774339
Standard Deviation (unbiased)1.02817162924111
Standard Deviation (biased)1.02446649420242
Coefficient of Variation (unbiased)0.521590717023773
Coefficient of Variation (biased)0.519711104723123
Mean Squared Error (MSE versus 0)4.93525179856115
Mean Squared Error (MSE versus Mean)1.04953159774339
Mean Absolute Deviation from Mean (MAD Mean)0.824491485947932
Mean Absolute Deviation from Median (MAD Median)0.820143884892086
Median Absolute Deviation from Mean0.971223021582734
Median Absolute Deviation from Median1
Mean Squared Deviation from Mean1.04953159774339
Mean Squared Deviation from Median1.05035971223022
Interquartile Difference (Weighted Average at Xnp)2
Interquartile Difference (Weighted Average at X(n+1)p)2
Interquartile Difference (Empirical Distribution Function)2
Interquartile Difference (Empirical Distribution Function - Averaging)2
Interquartile Difference (Empirical Distribution Function - Interpolation)2
Interquartile Difference (Closest Observation)2
Interquartile Difference (True Basic - Statistics Graphics Toolkit)2
Interquartile Difference (MS Excel (old versions))2
Semi Interquartile Difference (Weighted Average at Xnp)1
Semi Interquartile Difference (Weighted Average at X(n+1)p)1
Semi Interquartile Difference (Empirical Distribution Function)1
Semi Interquartile Difference (Empirical Distribution Function - Averaging)1
Semi Interquartile Difference (Empirical Distribution Function - Interpolation)1
Semi Interquartile Difference (Closest Observation)1
Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit)1
Semi Interquartile Difference (MS Excel (old versions))1
Coefficient of Quartile Variation (Weighted Average at Xnp)0.5
Coefficient of Quartile Variation (Weighted Average at X(n+1)p)0.5
Coefficient of Quartile Variation (Empirical Distribution Function)0.5
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)0.5
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)0.5
Coefficient of Quartile Variation (Closest Observation)0.5
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)0.5
Coefficient of Quartile Variation (MS Excel (old versions))0.5
Number of all Pairs of Observations9591
Squared Differences between all Pairs of Observations2.11427379835262
Mean Absolute Differences between all Pairs of Observations1.09394223751434
Gini Mean Difference1.09394223751434
Leik Measure of Dispersion0.452872104093938
Index of Diversity0.990862592572859
Index of Qualitative Variation0.998042756287156
Coefficient of Dispersion0.412245742973966
Observations139



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')