Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_variability.wasp
Title produced by softwareVariability
Date of computationWed, 28 Nov 2012 13:27:38 -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/Nov/28/t13541273079417efutu4z6614.htm/, Retrieved Thu, 28 Mar 2024 20:38:42 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=194207, Retrieved Thu, 28 Mar 2024 20:38:42 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact88
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Standard Deviation-Mean Plot] [inschrijving nieu...] [2012-11-28 18:22:24] [6e17e56f9bbdc65ea77b7e28bc808fc4]
- RMPD    [Variability] [verkoop printers ...] [2012-11-28 18:27:38] [32426a9b6b43a24d932e8bdfe421cad9] [Current]
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Dataseries X:
124275
58605
21828
42811
65963
128457
26867
143540
107458
258558
22475
294584
159848
289458
117950
78351
84589
44324
52285
185486
23846
13257
166999
148488
74747
55700
218584
187888
44788
18840
48787
69100
41892
90588
148574
50201
86828
102785
118844
145288
56790
287525
187880
87740
55258
58769
43366
77051
91574
15533
18425
65192
81059
73322
91261
86166
61842
25192
21059
15855
12618
101667
224275
55700
60748
41848
61781
120077
42032
46485
36861
55027
48999
68352
126987
86526
125340
69029
153287
135724
92108
119906
79798
97206




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 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 & 1 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=194207&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]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=194207&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=194207&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'Sir Ronald Aylmer Fisher' @ fisher.wessa.net







Variability - Ungrouped Data
Absolute range281966
Relative range (unbiased)4.33776866115603
Relative range (biased)4.36382156003202
Variance (unbiased)4225330778.66208
Variance (biased)4175029221.77324
Standard Deviation (unbiased)65002.5444014469
Standard Deviation (biased)64614.4660410751
Coefficient of Variation (unbiased)0.706643029526886
Coefficient of Variation (biased)0.702424227466257
Mean Squared Error (MSE versus 0)12636786322.7619
Mean Squared Error (MSE versus Mean)4175029221.77324
Mean Absolute Deviation from Mean (MAD Mean)49033.612244898
Mean Absolute Deviation from Median (MAD Median)47073.5476190476
Median Absolute Deviation from Mean38331.8095238095
Median Absolute Deviation from Median32810.5
Mean Squared Deviation from Mean4175029221.77324
Mean Squared Deviation from Median4433879013.66667
Interquartile Difference (Weighted Average at Xnp)73592
Interquartile Difference (Weighted Average at X(n+1)p)76165
Interquartile Difference (Empirical Distribution Function)73592
Interquartile Difference (Empirical Distribution Function - Averaging)74540
Interquartile Difference (Empirical Distribution Function - Interpolation)72915
Interquartile Difference (Closest Observation)73592
Interquartile Difference (True Basic - Statistics Graphics Toolkit)72915
Interquartile Difference (MS Excel (old versions))77790
Semi Interquartile Difference (Weighted Average at Xnp)36796
Semi Interquartile Difference (Weighted Average at X(n+1)p)38082.5
Semi Interquartile Difference (Empirical Distribution Function)36796
Semi Interquartile Difference (Empirical Distribution Function - Averaging)37270
Semi Interquartile Difference (Empirical Distribution Function - Interpolation)36457.5
Semi Interquartile Difference (Closest Observation)36796
Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit)36457.5
Semi Interquartile Difference (MS Excel (old versions))38895
Coefficient of Quartile Variation (Weighted Average at Xnp)0.441829468906473
Coefficient of Quartile Variation (Weighted Average at X(n+1)p)0.447276934099104
Coefficient of Quartile Variation (Empirical Distribution Function)0.441829468906473
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)0.43895602195369
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)0.430588527087836
Coefficient of Quartile Variation (Closest Observation)0.441829468906473
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)0.430588527087836
Coefficient of Quartile Variation (MS Excel (old versions))0.455551651440618
Number of all Pairs of Observations3486
Squared Differences between all Pairs of Observations8450661557.32415
Mean Absolute Differences between all Pairs of Observations68813.9288582903
Gini Mean Difference68813.9288582903
Leik Measure of Dispersion0.50979442996862
Index of Diversity0.982221431007958
Index of Qualitative Variation0.994055424152632
Coefficient of Dispersion0.646037658531706
Observations84

\begin{tabular}{lllllllll}
\hline
Variability - Ungrouped Data \tabularnewline
Absolute range & 281966 \tabularnewline
Relative range (unbiased) & 4.33776866115603 \tabularnewline
Relative range (biased) & 4.36382156003202 \tabularnewline
Variance (unbiased) & 4225330778.66208 \tabularnewline
Variance (biased) & 4175029221.77324 \tabularnewline
Standard Deviation (unbiased) & 65002.5444014469 \tabularnewline
Standard Deviation (biased) & 64614.4660410751 \tabularnewline
Coefficient of Variation (unbiased) & 0.706643029526886 \tabularnewline
Coefficient of Variation (biased) & 0.702424227466257 \tabularnewline
Mean Squared Error (MSE versus 0) & 12636786322.7619 \tabularnewline
Mean Squared Error (MSE versus Mean) & 4175029221.77324 \tabularnewline
Mean Absolute Deviation from Mean (MAD Mean) & 49033.612244898 \tabularnewline
Mean Absolute Deviation from Median (MAD Median) & 47073.5476190476 \tabularnewline
Median Absolute Deviation from Mean & 38331.8095238095 \tabularnewline
Median Absolute Deviation from Median & 32810.5 \tabularnewline
Mean Squared Deviation from Mean & 4175029221.77324 \tabularnewline
Mean Squared Deviation from Median & 4433879013.66667 \tabularnewline
Interquartile Difference (Weighted Average at Xnp) & 73592 \tabularnewline
Interquartile Difference (Weighted Average at X(n+1)p) & 76165 \tabularnewline
Interquartile Difference (Empirical Distribution Function) & 73592 \tabularnewline
Interquartile Difference (Empirical Distribution Function - Averaging) & 74540 \tabularnewline
Interquartile Difference (Empirical Distribution Function - Interpolation) & 72915 \tabularnewline
Interquartile Difference (Closest Observation) & 73592 \tabularnewline
Interquartile Difference (True Basic - Statistics Graphics Toolkit) & 72915 \tabularnewline
Interquartile Difference (MS Excel (old versions)) & 77790 \tabularnewline
Semi Interquartile Difference (Weighted Average at Xnp) & 36796 \tabularnewline
Semi Interquartile Difference (Weighted Average at X(n+1)p) & 38082.5 \tabularnewline
Semi Interquartile Difference (Empirical Distribution Function) & 36796 \tabularnewline
Semi Interquartile Difference (Empirical Distribution Function - Averaging) & 37270 \tabularnewline
Semi Interquartile Difference (Empirical Distribution Function - Interpolation) & 36457.5 \tabularnewline
Semi Interquartile Difference (Closest Observation) & 36796 \tabularnewline
Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit) & 36457.5 \tabularnewline
Semi Interquartile Difference (MS Excel (old versions)) & 38895 \tabularnewline
Coefficient of Quartile Variation (Weighted Average at Xnp) & 0.441829468906473 \tabularnewline
Coefficient of Quartile Variation (Weighted Average at X(n+1)p) & 0.447276934099104 \tabularnewline
Coefficient of Quartile Variation (Empirical Distribution Function) & 0.441829468906473 \tabularnewline
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging) & 0.43895602195369 \tabularnewline
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation) & 0.430588527087836 \tabularnewline
Coefficient of Quartile Variation (Closest Observation) & 0.441829468906473 \tabularnewline
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit) & 0.430588527087836 \tabularnewline
Coefficient of Quartile Variation (MS Excel (old versions)) & 0.455551651440618 \tabularnewline
Number of all Pairs of Observations & 3486 \tabularnewline
Squared Differences between all Pairs of Observations & 8450661557.32415 \tabularnewline
Mean Absolute Differences between all Pairs of Observations & 68813.9288582903 \tabularnewline
Gini Mean Difference & 68813.9288582903 \tabularnewline
Leik Measure of Dispersion & 0.50979442996862 \tabularnewline
Index of Diversity & 0.982221431007958 \tabularnewline
Index of Qualitative Variation & 0.994055424152632 \tabularnewline
Coefficient of Dispersion & 0.646037658531706 \tabularnewline
Observations & 84 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=194207&T=1

[TABLE]
[ROW][C]Variability - Ungrouped Data[/C][/ROW]
[ROW][C]Absolute range[/C][C]281966[/C][/ROW]
[ROW][C]Relative range (unbiased)[/C][C]4.33776866115603[/C][/ROW]
[ROW][C]Relative range (biased)[/C][C]4.36382156003202[/C][/ROW]
[ROW][C]Variance (unbiased)[/C][C]4225330778.66208[/C][/ROW]
[ROW][C]Variance (biased)[/C][C]4175029221.77324[/C][/ROW]
[ROW][C]Standard Deviation (unbiased)[/C][C]65002.5444014469[/C][/ROW]
[ROW][C]Standard Deviation (biased)[/C][C]64614.4660410751[/C][/ROW]
[ROW][C]Coefficient of Variation (unbiased)[/C][C]0.706643029526886[/C][/ROW]
[ROW][C]Coefficient of Variation (biased)[/C][C]0.702424227466257[/C][/ROW]
[ROW][C]Mean Squared Error (MSE versus 0)[/C][C]12636786322.7619[/C][/ROW]
[ROW][C]Mean Squared Error (MSE versus Mean)[/C][C]4175029221.77324[/C][/ROW]
[ROW][C]Mean Absolute Deviation from Mean (MAD Mean)[/C][C]49033.612244898[/C][/ROW]
[ROW][C]Mean Absolute Deviation from Median (MAD Median)[/C][C]47073.5476190476[/C][/ROW]
[ROW][C]Median Absolute Deviation from Mean[/C][C]38331.8095238095[/C][/ROW]
[ROW][C]Median Absolute Deviation from Median[/C][C]32810.5[/C][/ROW]
[ROW][C]Mean Squared Deviation from Mean[/C][C]4175029221.77324[/C][/ROW]
[ROW][C]Mean Squared Deviation from Median[/C][C]4433879013.66667[/C][/ROW]
[ROW][C]Interquartile Difference (Weighted Average at Xnp)[/C][C]73592[/C][/ROW]
[ROW][C]Interquartile Difference (Weighted Average at X(n+1)p)[/C][C]76165[/C][/ROW]
[ROW][C]Interquartile Difference (Empirical Distribution Function)[/C][C]73592[/C][/ROW]
[ROW][C]Interquartile Difference (Empirical Distribution Function - Averaging)[/C][C]74540[/C][/ROW]
[ROW][C]Interquartile Difference (Empirical Distribution Function - Interpolation)[/C][C]72915[/C][/ROW]
[ROW][C]Interquartile Difference (Closest Observation)[/C][C]73592[/C][/ROW]
[ROW][C]Interquartile Difference (True Basic - Statistics Graphics Toolkit)[/C][C]72915[/C][/ROW]
[ROW][C]Interquartile Difference (MS Excel (old versions))[/C][C]77790[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Weighted Average at Xnp)[/C][C]36796[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Weighted Average at X(n+1)p)[/C][C]38082.5[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Empirical Distribution Function)[/C][C]36796[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Empirical Distribution Function - Averaging)[/C][C]37270[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Empirical Distribution Function - Interpolation)[/C][C]36457.5[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Closest Observation)[/C][C]36796[/C][/ROW]
[ROW][C]Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit)[/C][C]36457.5[/C][/ROW]
[ROW][C]Semi Interquartile Difference (MS Excel (old versions))[/C][C]38895[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Weighted Average at Xnp)[/C][C]0.441829468906473[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Weighted Average at X(n+1)p)[/C][C]0.447276934099104[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Empirical Distribution Function)[/C][C]0.441829468906473[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)[/C][C]0.43895602195369[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)[/C][C]0.430588527087836[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Closest Observation)[/C][C]0.441829468906473[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)[/C][C]0.430588527087836[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (MS Excel (old versions))[/C][C]0.455551651440618[/C][/ROW]
[ROW][C]Number of all Pairs of Observations[/C][C]3486[/C][/ROW]
[ROW][C]Squared Differences between all Pairs of Observations[/C][C]8450661557.32415[/C][/ROW]
[ROW][C]Mean Absolute Differences between all Pairs of Observations[/C][C]68813.9288582903[/C][/ROW]
[ROW][C]Gini Mean Difference[/C][C]68813.9288582903[/C][/ROW]
[ROW][C]Leik Measure of Dispersion[/C][C]0.50979442996862[/C][/ROW]
[ROW][C]Index of Diversity[/C][C]0.982221431007958[/C][/ROW]
[ROW][C]Index of Qualitative Variation[/C][C]0.994055424152632[/C][/ROW]
[ROW][C]Coefficient of Dispersion[/C][C]0.646037658531706[/C][/ROW]
[ROW][C]Observations[/C][C]84[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=194207&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=194207&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 range281966
Relative range (unbiased)4.33776866115603
Relative range (biased)4.36382156003202
Variance (unbiased)4225330778.66208
Variance (biased)4175029221.77324
Standard Deviation (unbiased)65002.5444014469
Standard Deviation (biased)64614.4660410751
Coefficient of Variation (unbiased)0.706643029526886
Coefficient of Variation (biased)0.702424227466257
Mean Squared Error (MSE versus 0)12636786322.7619
Mean Squared Error (MSE versus Mean)4175029221.77324
Mean Absolute Deviation from Mean (MAD Mean)49033.612244898
Mean Absolute Deviation from Median (MAD Median)47073.5476190476
Median Absolute Deviation from Mean38331.8095238095
Median Absolute Deviation from Median32810.5
Mean Squared Deviation from Mean4175029221.77324
Mean Squared Deviation from Median4433879013.66667
Interquartile Difference (Weighted Average at Xnp)73592
Interquartile Difference (Weighted Average at X(n+1)p)76165
Interquartile Difference (Empirical Distribution Function)73592
Interquartile Difference (Empirical Distribution Function - Averaging)74540
Interquartile Difference (Empirical Distribution Function - Interpolation)72915
Interquartile Difference (Closest Observation)73592
Interquartile Difference (True Basic - Statistics Graphics Toolkit)72915
Interquartile Difference (MS Excel (old versions))77790
Semi Interquartile Difference (Weighted Average at Xnp)36796
Semi Interquartile Difference (Weighted Average at X(n+1)p)38082.5
Semi Interquartile Difference (Empirical Distribution Function)36796
Semi Interquartile Difference (Empirical Distribution Function - Averaging)37270
Semi Interquartile Difference (Empirical Distribution Function - Interpolation)36457.5
Semi Interquartile Difference (Closest Observation)36796
Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit)36457.5
Semi Interquartile Difference (MS Excel (old versions))38895
Coefficient of Quartile Variation (Weighted Average at Xnp)0.441829468906473
Coefficient of Quartile Variation (Weighted Average at X(n+1)p)0.447276934099104
Coefficient of Quartile Variation (Empirical Distribution Function)0.441829468906473
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)0.43895602195369
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)0.430588527087836
Coefficient of Quartile Variation (Closest Observation)0.441829468906473
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)0.430588527087836
Coefficient of Quartile Variation (MS Excel (old versions))0.455551651440618
Number of all Pairs of Observations3486
Squared Differences between all Pairs of Observations8450661557.32415
Mean Absolute Differences between all Pairs of Observations68813.9288582903
Gini Mean Difference68813.9288582903
Leik Measure of Dispersion0.50979442996862
Index of Diversity0.982221431007958
Index of Qualitative Variation0.994055424152632
Coefficient of Dispersion0.646037658531706
Observations84



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')