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 computationThu, 03 Dec 2009 07:53:10 -0700
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/Dec/03/t1259852076uf4olvef6y8wows.htm/, Retrieved Fri, 19 Apr 2024 07:06:23 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=62818, Retrieved Fri, 19 Apr 2024 07:06:23 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact141
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [(Partial) Autocorrelation Function] [] [2009-11-27 14:46:03] [b98453cac15ba1066b407e146608df68]
-   PD    [(Partial) Autocorrelation Function] [] [2009-12-03 10:03:52] [2f674a53c3d7aaa1bcf80e66074d3c9b]
- RMPD        [Variability] [] [2009-12-03 14:53:10] [5858ea01c9bd81debbf921a11363ad90] [Current]
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Post a new message
Dataseries X:
32
35
41
28
33
36
39
37
44
48
34
34
35
38
31
30
31
38
39
36
45
37
34
33
32
34
38
29
46
42
39
40
30
33
32
31
31
35
34
36
37
36
39
37
36




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 0 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62818&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]0 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62818&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62818&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 time0 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135







Variability - Ungrouped Data
Absolute range20
Relative range (unbiased)4.42107489844388
Relative range (biased)4.47103213270583
Variance (unbiased)20.4646464646465
Variance (biased)20.0098765432099
Standard Deviation (unbiased)4.52378673951884
Standard Deviation (biased)4.4732400498084
Coefficient of Variation (unbiased)0.126049785311670
Coefficient of Variation (biased)0.124641363616952
Mean Squared Error (MSE versus 0)1308.02222222222
Mean Squared Error (MSE versus Mean)20.0098765432099
Mean Absolute Deviation from Mean (MAD Mean)3.49135802469136
Mean Absolute Deviation from Median (MAD Median)3.48888888888889
Median Absolute Deviation from Mean2.88888888888889
Median Absolute Deviation from Median3
Mean Squared Deviation from Mean20.0098765432099
Mean Squared Deviation from Median20.0222222222222
Interquartile Difference (Weighted Average at Xnp)5.75
Interquartile Difference (Weighted Average at X(n+1)p)6
Interquartile Difference (Empirical Distribution Function)5
Interquartile Difference (Empirical Distribution Function - Averaging)5
Interquartile Difference (Empirical Distribution Function - Interpolation)5
Interquartile Difference (Closest Observation)6
Interquartile Difference (True Basic - Statistics Graphics Toolkit)6
Interquartile Difference (MS Excel (old versions))6
Semi Interquartile Difference (Weighted Average at Xnp)2.875
Semi Interquartile Difference (Weighted Average at X(n+1)p)3
Semi Interquartile Difference (Empirical Distribution Function)2.5
Semi Interquartile Difference (Empirical Distribution Function - Averaging)2.5
Semi Interquartile Difference (Empirical Distribution Function - Interpolation)2.5
Semi Interquartile Difference (Closest Observation)3
Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit)3
Semi Interquartile Difference (MS Excel (old versions))3
Coefficient of Quartile Variation (Weighted Average at Xnp)0.0818505338078292
Coefficient of Quartile Variation (Weighted Average at X(n+1)p)0.0845070422535211
Coefficient of Quartile Variation (Empirical Distribution Function)0.0704225352112676
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)0.0704225352112676
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)0.0704225352112676
Coefficient of Quartile Variation (Closest Observation)0.0857142857142857
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)0.0845070422535211
Coefficient of Quartile Variation (MS Excel (old versions))0.0845070422535211
Number of all Pairs of Observations990
Squared Differences between all Pairs of Observations40.9292929292929
Mean Absolute Differences between all Pairs of Observations5.07070707070707
Gini Mean Difference5.07070707070707
Leik Measure of Dispersion0.509907120743034
Index of Diversity0.977432545121682
Index of Qualitative Variation0.999646921147175
Coefficient of Dispersion0.0969821673525377
Observations45

\begin{tabular}{lllllllll}
\hline
Variability - Ungrouped Data \tabularnewline
Absolute range & 20 \tabularnewline
Relative range (unbiased) & 4.42107489844388 \tabularnewline
Relative range (biased) & 4.47103213270583 \tabularnewline
Variance (unbiased) & 20.4646464646465 \tabularnewline
Variance (biased) & 20.0098765432099 \tabularnewline
Standard Deviation (unbiased) & 4.52378673951884 \tabularnewline
Standard Deviation (biased) & 4.4732400498084 \tabularnewline
Coefficient of Variation (unbiased) & 0.126049785311670 \tabularnewline
Coefficient of Variation (biased) & 0.124641363616952 \tabularnewline
Mean Squared Error (MSE versus 0) & 1308.02222222222 \tabularnewline
Mean Squared Error (MSE versus Mean) & 20.0098765432099 \tabularnewline
Mean Absolute Deviation from Mean (MAD Mean) & 3.49135802469136 \tabularnewline
Mean Absolute Deviation from Median (MAD Median) & 3.48888888888889 \tabularnewline
Median Absolute Deviation from Mean & 2.88888888888889 \tabularnewline
Median Absolute Deviation from Median & 3 \tabularnewline
Mean Squared Deviation from Mean & 20.0098765432099 \tabularnewline
Mean Squared Deviation from Median & 20.0222222222222 \tabularnewline
Interquartile Difference (Weighted Average at Xnp) & 5.75 \tabularnewline
Interquartile Difference (Weighted Average at X(n+1)p) & 6 \tabularnewline
Interquartile Difference (Empirical Distribution Function) & 5 \tabularnewline
Interquartile Difference (Empirical Distribution Function - Averaging) & 5 \tabularnewline
Interquartile Difference (Empirical Distribution Function - Interpolation) & 5 \tabularnewline
Interquartile Difference (Closest Observation) & 6 \tabularnewline
Interquartile Difference (True Basic - Statistics Graphics Toolkit) & 6 \tabularnewline
Interquartile Difference (MS Excel (old versions)) & 6 \tabularnewline
Semi Interquartile Difference (Weighted Average at Xnp) & 2.875 \tabularnewline
Semi Interquartile Difference (Weighted Average at X(n+1)p) & 3 \tabularnewline
Semi Interquartile Difference (Empirical Distribution Function) & 2.5 \tabularnewline
Semi Interquartile Difference (Empirical Distribution Function - Averaging) & 2.5 \tabularnewline
Semi Interquartile Difference (Empirical Distribution Function - Interpolation) & 2.5 \tabularnewline
Semi Interquartile Difference (Closest Observation) & 3 \tabularnewline
Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit) & 3 \tabularnewline
Semi Interquartile Difference (MS Excel (old versions)) & 3 \tabularnewline
Coefficient of Quartile Variation (Weighted Average at Xnp) & 0.0818505338078292 \tabularnewline
Coefficient of Quartile Variation (Weighted Average at X(n+1)p) & 0.0845070422535211 \tabularnewline
Coefficient of Quartile Variation (Empirical Distribution Function) & 0.0704225352112676 \tabularnewline
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging) & 0.0704225352112676 \tabularnewline
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation) & 0.0704225352112676 \tabularnewline
Coefficient of Quartile Variation (Closest Observation) & 0.0857142857142857 \tabularnewline
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit) & 0.0845070422535211 \tabularnewline
Coefficient of Quartile Variation (MS Excel (old versions)) & 0.0845070422535211 \tabularnewline
Number of all Pairs of Observations & 990 \tabularnewline
Squared Differences between all Pairs of Observations & 40.9292929292929 \tabularnewline
Mean Absolute Differences between all Pairs of Observations & 5.07070707070707 \tabularnewline
Gini Mean Difference & 5.07070707070707 \tabularnewline
Leik Measure of Dispersion & 0.509907120743034 \tabularnewline
Index of Diversity & 0.977432545121682 \tabularnewline
Index of Qualitative Variation & 0.999646921147175 \tabularnewline
Coefficient of Dispersion & 0.0969821673525377 \tabularnewline
Observations & 45 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62818&T=1

[TABLE]
[ROW][C]Variability - Ungrouped Data[/C][/ROW]
[ROW][C]Absolute range[/C][C]20[/C][/ROW]
[ROW][C]Relative range (unbiased)[/C][C]4.42107489844388[/C][/ROW]
[ROW][C]Relative range (biased)[/C][C]4.47103213270583[/C][/ROW]
[ROW][C]Variance (unbiased)[/C][C]20.4646464646465[/C][/ROW]
[ROW][C]Variance (biased)[/C][C]20.0098765432099[/C][/ROW]
[ROW][C]Standard Deviation (unbiased)[/C][C]4.52378673951884[/C][/ROW]
[ROW][C]Standard Deviation (biased)[/C][C]4.4732400498084[/C][/ROW]
[ROW][C]Coefficient of Variation (unbiased)[/C][C]0.126049785311670[/C][/ROW]
[ROW][C]Coefficient of Variation (biased)[/C][C]0.124641363616952[/C][/ROW]
[ROW][C]Mean Squared Error (MSE versus 0)[/C][C]1308.02222222222[/C][/ROW]
[ROW][C]Mean Squared Error (MSE versus Mean)[/C][C]20.0098765432099[/C][/ROW]
[ROW][C]Mean Absolute Deviation from Mean (MAD Mean)[/C][C]3.49135802469136[/C][/ROW]
[ROW][C]Mean Absolute Deviation from Median (MAD Median)[/C][C]3.48888888888889[/C][/ROW]
[ROW][C]Median Absolute Deviation from Mean[/C][C]2.88888888888889[/C][/ROW]
[ROW][C]Median Absolute Deviation from Median[/C][C]3[/C][/ROW]
[ROW][C]Mean Squared Deviation from Mean[/C][C]20.0098765432099[/C][/ROW]
[ROW][C]Mean Squared Deviation from Median[/C][C]20.0222222222222[/C][/ROW]
[ROW][C]Interquartile Difference (Weighted Average at Xnp)[/C][C]5.75[/C][/ROW]
[ROW][C]Interquartile Difference (Weighted Average at X(n+1)p)[/C][C]6[/C][/ROW]
[ROW][C]Interquartile Difference (Empirical Distribution Function)[/C][C]5[/C][/ROW]
[ROW][C]Interquartile Difference (Empirical Distribution Function - Averaging)[/C][C]5[/C][/ROW]
[ROW][C]Interquartile Difference (Empirical Distribution Function - Interpolation)[/C][C]5[/C][/ROW]
[ROW][C]Interquartile Difference (Closest Observation)[/C][C]6[/C][/ROW]
[ROW][C]Interquartile Difference (True Basic - Statistics Graphics Toolkit)[/C][C]6[/C][/ROW]
[ROW][C]Interquartile Difference (MS Excel (old versions))[/C][C]6[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Weighted Average at Xnp)[/C][C]2.875[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Weighted Average at X(n+1)p)[/C][C]3[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Empirical Distribution Function)[/C][C]2.5[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Empirical Distribution Function - Averaging)[/C][C]2.5[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Empirical Distribution Function - Interpolation)[/C][C]2.5[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Closest Observation)[/C][C]3[/C][/ROW]
[ROW][C]Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit)[/C][C]3[/C][/ROW]
[ROW][C]Semi Interquartile Difference (MS Excel (old versions))[/C][C]3[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Weighted Average at Xnp)[/C][C]0.0818505338078292[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Weighted Average at X(n+1)p)[/C][C]0.0845070422535211[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Empirical Distribution Function)[/C][C]0.0704225352112676[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)[/C][C]0.0704225352112676[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)[/C][C]0.0704225352112676[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Closest Observation)[/C][C]0.0857142857142857[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)[/C][C]0.0845070422535211[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (MS Excel (old versions))[/C][C]0.0845070422535211[/C][/ROW]
[ROW][C]Number of all Pairs of Observations[/C][C]990[/C][/ROW]
[ROW][C]Squared Differences between all Pairs of Observations[/C][C]40.9292929292929[/C][/ROW]
[ROW][C]Mean Absolute Differences between all Pairs of Observations[/C][C]5.07070707070707[/C][/ROW]
[ROW][C]Gini Mean Difference[/C][C]5.07070707070707[/C][/ROW]
[ROW][C]Leik Measure of Dispersion[/C][C]0.509907120743034[/C][/ROW]
[ROW][C]Index of Diversity[/C][C]0.977432545121682[/C][/ROW]
[ROW][C]Index of Qualitative Variation[/C][C]0.999646921147175[/C][/ROW]
[ROW][C]Coefficient of Dispersion[/C][C]0.0969821673525377[/C][/ROW]
[ROW][C]Observations[/C][C]45[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62818&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62818&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 range20
Relative range (unbiased)4.42107489844388
Relative range (biased)4.47103213270583
Variance (unbiased)20.4646464646465
Variance (biased)20.0098765432099
Standard Deviation (unbiased)4.52378673951884
Standard Deviation (biased)4.4732400498084
Coefficient of Variation (unbiased)0.126049785311670
Coefficient of Variation (biased)0.124641363616952
Mean Squared Error (MSE versus 0)1308.02222222222
Mean Squared Error (MSE versus Mean)20.0098765432099
Mean Absolute Deviation from Mean (MAD Mean)3.49135802469136
Mean Absolute Deviation from Median (MAD Median)3.48888888888889
Median Absolute Deviation from Mean2.88888888888889
Median Absolute Deviation from Median3
Mean Squared Deviation from Mean20.0098765432099
Mean Squared Deviation from Median20.0222222222222
Interquartile Difference (Weighted Average at Xnp)5.75
Interquartile Difference (Weighted Average at X(n+1)p)6
Interquartile Difference (Empirical Distribution Function)5
Interquartile Difference (Empirical Distribution Function - Averaging)5
Interquartile Difference (Empirical Distribution Function - Interpolation)5
Interquartile Difference (Closest Observation)6
Interquartile Difference (True Basic - Statistics Graphics Toolkit)6
Interquartile Difference (MS Excel (old versions))6
Semi Interquartile Difference (Weighted Average at Xnp)2.875
Semi Interquartile Difference (Weighted Average at X(n+1)p)3
Semi Interquartile Difference (Empirical Distribution Function)2.5
Semi Interquartile Difference (Empirical Distribution Function - Averaging)2.5
Semi Interquartile Difference (Empirical Distribution Function - Interpolation)2.5
Semi Interquartile Difference (Closest Observation)3
Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit)3
Semi Interquartile Difference (MS Excel (old versions))3
Coefficient of Quartile Variation (Weighted Average at Xnp)0.0818505338078292
Coefficient of Quartile Variation (Weighted Average at X(n+1)p)0.0845070422535211
Coefficient of Quartile Variation (Empirical Distribution Function)0.0704225352112676
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)0.0704225352112676
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)0.0704225352112676
Coefficient of Quartile Variation (Closest Observation)0.0857142857142857
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)0.0845070422535211
Coefficient of Quartile Variation (MS Excel (old versions))0.0845070422535211
Number of all Pairs of Observations990
Squared Differences between all Pairs of Observations40.9292929292929
Mean Absolute Differences between all Pairs of Observations5.07070707070707
Gini Mean Difference5.07070707070707
Leik Measure of Dispersion0.509907120743034
Index of Diversity0.977432545121682
Index of Qualitative Variation0.999646921147175
Coefficient of Dispersion0.0969821673525377
Observations45



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')