Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_variability.wasp
Title produced by softwareVariability
Date of computationTue, 03 Dec 2013 14:33:29 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/Dec/03/t1386099225osno3crni8s4f7d.htm/, Retrieved Fri, 29 Mar 2024 12:00:54 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=230391, Retrieved Fri, 29 Mar 2024 12:00:54 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact49
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Variability] [] [2013-12-03 19:33:29] [0f9b748f6fe1dd88ddc67537cf760c5a] [Current]
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Dataseries X:
9244
7074
7044
6492
6362
8287
18177
10379
11130
9606
7294
7415
9230
7423
6927
7572
5877
8878
16706
9611
12714
10549
8421
9993
12384
9798
11738
9011
7673
10736
18316
10973
14027
10242
8547
8187
11101
8685
9790
8003
7412
9397
17774
11230
13321
9432
7653
7651
10762
8614
8748
7235
7735
8360
16202
11053
13593
9738
8226
7866
11606
9456
8471
7553
8259
9009
13968
12844
14388
12048
9167
7733




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=230391&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=230391&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=230391&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 range12439
Relative range (unbiased)4.35667726986382
Relative range (biased)4.38725081878156
Variance (unbiased)8151924.63536776
Variance (biased)8038703.45987654
Standard Deviation (unbiased)2855.15755000801
Standard Deviation (biased)2835.26073931068
Coefficient of Variation (unbiased)0.286263220075443
Coefficient of Variation (biased)0.284268330126398
Mean Squared Error (MSE versus 0)107517163.027778
Mean Squared Error (MSE versus Mean)8038703.45987654
Mean Absolute Deviation from Mean (MAD Mean)2184.97222222222
Mean Absolute Deviation from Median (MAD Median)2082.38888888889
Median Absolute Deviation from Mean1756
Median Absolute Deviation from Median1574
Mean Squared Deviation from Mean8038703.45987654
Mean Squared Deviation from Median8581708.69444444
Interquartile Difference (Weighted Average at Xnp)3366
Interquartile Difference (Weighted Average at X(n+1)p)3355
Interquartile Difference (Empirical Distribution Function)3366
Interquartile Difference (Empirical Distribution Function - Averaging)3315
Interquartile Difference (Empirical Distribution Function - Interpolation)3275
Interquartile Difference (Closest Observation)3366
Interquartile Difference (True Basic - Statistics Graphics Toolkit)3275
Interquartile Difference (MS Excel (old versions))3395
Semi Interquartile Difference (Weighted Average at Xnp)1683
Semi Interquartile Difference (Weighted Average at X(n+1)p)1677.5
Semi Interquartile Difference (Empirical Distribution Function)1683
Semi Interquartile Difference (Empirical Distribution Function - Averaging)1657.5
Semi Interquartile Difference (Empirical Distribution Function - Interpolation)1637.5
Semi Interquartile Difference (Closest Observation)1683
Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit)1637.5
Semi Interquartile Difference (MS Excel (old versions))1697.5
Coefficient of Quartile Variation (Weighted Average at Xnp)0.17870036101083
Coefficient of Quartile Variation (Weighted Average at X(n+1)p)0.177602498610413
Coefficient of Quartile Variation (Empirical Distribution Function)0.17870036101083
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)0.175248466906323
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)0.172900773433994
Coefficient of Quartile Variation (Closest Observation)0.17870036101083
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)0.172900773433994
Coefficient of Quartile Variation (MS Excel (old versions))0.179962894248609
Number of all Pairs of Observations2556
Squared Differences between all Pairs of Observations16303849.2707355
Mean Absolute Differences between all Pairs of Observations3045.71361502347
Gini Mean Difference3045.71361502347
Leik Measure of Dispersion0.496287763903086
Index of Diversity0.984988771062322
Index of Qualitative Variation0.998861852344889
Coefficient of Dispersion0.236545655756438
Observations72

\begin{tabular}{lllllllll}
\hline
Variability - Ungrouped Data \tabularnewline
Absolute range & 12439 \tabularnewline
Relative range (unbiased) & 4.35667726986382 \tabularnewline
Relative range (biased) & 4.38725081878156 \tabularnewline
Variance (unbiased) & 8151924.63536776 \tabularnewline
Variance (biased) & 8038703.45987654 \tabularnewline
Standard Deviation (unbiased) & 2855.15755000801 \tabularnewline
Standard Deviation (biased) & 2835.26073931068 \tabularnewline
Coefficient of Variation (unbiased) & 0.286263220075443 \tabularnewline
Coefficient of Variation (biased) & 0.284268330126398 \tabularnewline
Mean Squared Error (MSE versus 0) & 107517163.027778 \tabularnewline
Mean Squared Error (MSE versus Mean) & 8038703.45987654 \tabularnewline
Mean Absolute Deviation from Mean (MAD Mean) & 2184.97222222222 \tabularnewline
Mean Absolute Deviation from Median (MAD Median) & 2082.38888888889 \tabularnewline
Median Absolute Deviation from Mean & 1756 \tabularnewline
Median Absolute Deviation from Median & 1574 \tabularnewline
Mean Squared Deviation from Mean & 8038703.45987654 \tabularnewline
Mean Squared Deviation from Median & 8581708.69444444 \tabularnewline
Interquartile Difference (Weighted Average at Xnp) & 3366 \tabularnewline
Interquartile Difference (Weighted Average at X(n+1)p) & 3355 \tabularnewline
Interquartile Difference (Empirical Distribution Function) & 3366 \tabularnewline
Interquartile Difference (Empirical Distribution Function - Averaging) & 3315 \tabularnewline
Interquartile Difference (Empirical Distribution Function - Interpolation) & 3275 \tabularnewline
Interquartile Difference (Closest Observation) & 3366 \tabularnewline
Interquartile Difference (True Basic - Statistics Graphics Toolkit) & 3275 \tabularnewline
Interquartile Difference (MS Excel (old versions)) & 3395 \tabularnewline
Semi Interquartile Difference (Weighted Average at Xnp) & 1683 \tabularnewline
Semi Interquartile Difference (Weighted Average at X(n+1)p) & 1677.5 \tabularnewline
Semi Interquartile Difference (Empirical Distribution Function) & 1683 \tabularnewline
Semi Interquartile Difference (Empirical Distribution Function - Averaging) & 1657.5 \tabularnewline
Semi Interquartile Difference (Empirical Distribution Function - Interpolation) & 1637.5 \tabularnewline
Semi Interquartile Difference (Closest Observation) & 1683 \tabularnewline
Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit) & 1637.5 \tabularnewline
Semi Interquartile Difference (MS Excel (old versions)) & 1697.5 \tabularnewline
Coefficient of Quartile Variation (Weighted Average at Xnp) & 0.17870036101083 \tabularnewline
Coefficient of Quartile Variation (Weighted Average at X(n+1)p) & 0.177602498610413 \tabularnewline
Coefficient of Quartile Variation (Empirical Distribution Function) & 0.17870036101083 \tabularnewline
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging) & 0.175248466906323 \tabularnewline
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation) & 0.172900773433994 \tabularnewline
Coefficient of Quartile Variation (Closest Observation) & 0.17870036101083 \tabularnewline
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit) & 0.172900773433994 \tabularnewline
Coefficient of Quartile Variation (MS Excel (old versions)) & 0.179962894248609 \tabularnewline
Number of all Pairs of Observations & 2556 \tabularnewline
Squared Differences between all Pairs of Observations & 16303849.2707355 \tabularnewline
Mean Absolute Differences between all Pairs of Observations & 3045.71361502347 \tabularnewline
Gini Mean Difference & 3045.71361502347 \tabularnewline
Leik Measure of Dispersion & 0.496287763903086 \tabularnewline
Index of Diversity & 0.984988771062322 \tabularnewline
Index of Qualitative Variation & 0.998861852344889 \tabularnewline
Coefficient of Dispersion & 0.236545655756438 \tabularnewline
Observations & 72 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=230391&T=1

[TABLE]
[ROW][C]Variability - Ungrouped Data[/C][/ROW]
[ROW][C]Absolute range[/C][C]12439[/C][/ROW]
[ROW][C]Relative range (unbiased)[/C][C]4.35667726986382[/C][/ROW]
[ROW][C]Relative range (biased)[/C][C]4.38725081878156[/C][/ROW]
[ROW][C]Variance (unbiased)[/C][C]8151924.63536776[/C][/ROW]
[ROW][C]Variance (biased)[/C][C]8038703.45987654[/C][/ROW]
[ROW][C]Standard Deviation (unbiased)[/C][C]2855.15755000801[/C][/ROW]
[ROW][C]Standard Deviation (biased)[/C][C]2835.26073931068[/C][/ROW]
[ROW][C]Coefficient of Variation (unbiased)[/C][C]0.286263220075443[/C][/ROW]
[ROW][C]Coefficient of Variation (biased)[/C][C]0.284268330126398[/C][/ROW]
[ROW][C]Mean Squared Error (MSE versus 0)[/C][C]107517163.027778[/C][/ROW]
[ROW][C]Mean Squared Error (MSE versus Mean)[/C][C]8038703.45987654[/C][/ROW]
[ROW][C]Mean Absolute Deviation from Mean (MAD Mean)[/C][C]2184.97222222222[/C][/ROW]
[ROW][C]Mean Absolute Deviation from Median (MAD Median)[/C][C]2082.38888888889[/C][/ROW]
[ROW][C]Median Absolute Deviation from Mean[/C][C]1756[/C][/ROW]
[ROW][C]Median Absolute Deviation from Median[/C][C]1574[/C][/ROW]
[ROW][C]Mean Squared Deviation from Mean[/C][C]8038703.45987654[/C][/ROW]
[ROW][C]Mean Squared Deviation from Median[/C][C]8581708.69444444[/C][/ROW]
[ROW][C]Interquartile Difference (Weighted Average at Xnp)[/C][C]3366[/C][/ROW]
[ROW][C]Interquartile Difference (Weighted Average at X(n+1)p)[/C][C]3355[/C][/ROW]
[ROW][C]Interquartile Difference (Empirical Distribution Function)[/C][C]3366[/C][/ROW]
[ROW][C]Interquartile Difference (Empirical Distribution Function - Averaging)[/C][C]3315[/C][/ROW]
[ROW][C]Interquartile Difference (Empirical Distribution Function - Interpolation)[/C][C]3275[/C][/ROW]
[ROW][C]Interquartile Difference (Closest Observation)[/C][C]3366[/C][/ROW]
[ROW][C]Interquartile Difference (True Basic - Statistics Graphics Toolkit)[/C][C]3275[/C][/ROW]
[ROW][C]Interquartile Difference (MS Excel (old versions))[/C][C]3395[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Weighted Average at Xnp)[/C][C]1683[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Weighted Average at X(n+1)p)[/C][C]1677.5[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Empirical Distribution Function)[/C][C]1683[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Empirical Distribution Function - Averaging)[/C][C]1657.5[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Empirical Distribution Function - Interpolation)[/C][C]1637.5[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Closest Observation)[/C][C]1683[/C][/ROW]
[ROW][C]Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit)[/C][C]1637.5[/C][/ROW]
[ROW][C]Semi Interquartile Difference (MS Excel (old versions))[/C][C]1697.5[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Weighted Average at Xnp)[/C][C]0.17870036101083[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Weighted Average at X(n+1)p)[/C][C]0.177602498610413[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Empirical Distribution Function)[/C][C]0.17870036101083[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)[/C][C]0.175248466906323[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)[/C][C]0.172900773433994[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Closest Observation)[/C][C]0.17870036101083[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)[/C][C]0.172900773433994[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (MS Excel (old versions))[/C][C]0.179962894248609[/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]16303849.2707355[/C][/ROW]
[ROW][C]Mean Absolute Differences between all Pairs of Observations[/C][C]3045.71361502347[/C][/ROW]
[ROW][C]Gini Mean Difference[/C][C]3045.71361502347[/C][/ROW]
[ROW][C]Leik Measure of Dispersion[/C][C]0.496287763903086[/C][/ROW]
[ROW][C]Index of Diversity[/C][C]0.984988771062322[/C][/ROW]
[ROW][C]Index of Qualitative Variation[/C][C]0.998861852344889[/C][/ROW]
[ROW][C]Coefficient of Dispersion[/C][C]0.236545655756438[/C][/ROW]
[ROW][C]Observations[/C][C]72[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=230391&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=230391&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 range12439
Relative range (unbiased)4.35667726986382
Relative range (biased)4.38725081878156
Variance (unbiased)8151924.63536776
Variance (biased)8038703.45987654
Standard Deviation (unbiased)2855.15755000801
Standard Deviation (biased)2835.26073931068
Coefficient of Variation (unbiased)0.286263220075443
Coefficient of Variation (biased)0.284268330126398
Mean Squared Error (MSE versus 0)107517163.027778
Mean Squared Error (MSE versus Mean)8038703.45987654
Mean Absolute Deviation from Mean (MAD Mean)2184.97222222222
Mean Absolute Deviation from Median (MAD Median)2082.38888888889
Median Absolute Deviation from Mean1756
Median Absolute Deviation from Median1574
Mean Squared Deviation from Mean8038703.45987654
Mean Squared Deviation from Median8581708.69444444
Interquartile Difference (Weighted Average at Xnp)3366
Interquartile Difference (Weighted Average at X(n+1)p)3355
Interquartile Difference (Empirical Distribution Function)3366
Interquartile Difference (Empirical Distribution Function - Averaging)3315
Interquartile Difference (Empirical Distribution Function - Interpolation)3275
Interquartile Difference (Closest Observation)3366
Interquartile Difference (True Basic - Statistics Graphics Toolkit)3275
Interquartile Difference (MS Excel (old versions))3395
Semi Interquartile Difference (Weighted Average at Xnp)1683
Semi Interquartile Difference (Weighted Average at X(n+1)p)1677.5
Semi Interquartile Difference (Empirical Distribution Function)1683
Semi Interquartile Difference (Empirical Distribution Function - Averaging)1657.5
Semi Interquartile Difference (Empirical Distribution Function - Interpolation)1637.5
Semi Interquartile Difference (Closest Observation)1683
Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit)1637.5
Semi Interquartile Difference (MS Excel (old versions))1697.5
Coefficient of Quartile Variation (Weighted Average at Xnp)0.17870036101083
Coefficient of Quartile Variation (Weighted Average at X(n+1)p)0.177602498610413
Coefficient of Quartile Variation (Empirical Distribution Function)0.17870036101083
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)0.175248466906323
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)0.172900773433994
Coefficient of Quartile Variation (Closest Observation)0.17870036101083
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)0.172900773433994
Coefficient of Quartile Variation (MS Excel (old versions))0.179962894248609
Number of all Pairs of Observations2556
Squared Differences between all Pairs of Observations16303849.2707355
Mean Absolute Differences between all Pairs of Observations3045.71361502347
Gini Mean Difference3045.71361502347
Leik Measure of Dispersion0.496287763903086
Index of Diversity0.984988771062322
Index of Qualitative Variation0.998861852344889
Coefficient of Dispersion0.236545655756438
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')