Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_variability.wasp
Title produced by softwareVariability
Date of computationThu, 05 Dec 2013 15:11:53 -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/05/t13862743196p6c12szzlfeo5z.htm/, Retrieved Fri, 29 Mar 2024 06:11:21 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=231239, Retrieved Fri, 29 Mar 2024 06:11:21 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact50
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Variability] [] [2013-12-05 20:11:53] [354a1e9bb909abf3036d55f04d250334] [Current]
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Dataseries X:
15579
16348
15928
16171
15937
15713
15594
15683
16438
17032
17696
17745
19394
20148
20108
18584
18441
18391
19178
18079
18483
19644
19195
19650
20830
23595
22937
21814
21928
21777
21383
21467
22052
22680
24320
24977
25204
25739
26434
27525
30695
32436
30160
30236
31293
31077
32226
33865
32810
32242
32700
32819
33947
34148
35261
39506
41591
39148
41216
40225
41126
42362
40740
40256
39804
41002
41702
42254
43605
43271
43221
41373




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Herman Ole Andreas Wold' @ wold.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 & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=231239&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=231239&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=231239&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'Herman Ole Andreas Wold' @ wold.wessa.net







Variability - Ungrouped Data
Absolute range28026
Relative range (unbiased)2.96349510715061
Relative range (biased)2.98429181918909
Variance (unbiased)89436296.3372457
Variance (biased)88194125.554784
Standard Deviation (unbiased)9457.07652169769
Standard Deviation (biased)9391.17274650956
Coefficient of Variation (unbiased)0.34248603948128
Coefficient of Variation (biased)0.340099348107973
Mean Squared Error (MSE versus 0)850673428.611111
Mean Squared Error (MSE versus Mean)88194125.554784
Mean Absolute Deviation from Mean (MAD Mean)8463.89197530864
Mean Absolute Deviation from Median (MAD Median)8309.72222222222
Median Absolute Deviation from Mean8318.52777777778
Median Absolute Deviation from Median7345.5
Mean Squared Deviation from Mean88194125.554784
Mean Squared Deviation from Median94557271.9444444
Interquartile Difference (Weighted Average at Xnp)14970
Interquartile Difference (Weighted Average at X(n+1)p)15800.5
Interquartile Difference (Empirical Distribution Function)14970
Interquartile Difference (Empirical Distribution Function - Averaging)15518
Interquartile Difference (Empirical Distribution Function - Interpolation)15235.5
Interquartile Difference (Closest Observation)14970
Interquartile Difference (True Basic - Statistics Graphics Toolkit)15235.5
Interquartile Difference (MS Excel (old versions))16083
Semi Interquartile Difference (Weighted Average at Xnp)7485
Semi Interquartile Difference (Weighted Average at X(n+1)p)7900.25
Semi Interquartile Difference (Empirical Distribution Function)7485
Semi Interquartile Difference (Empirical Distribution Function - Averaging)7759
Semi Interquartile Difference (Empirical Distribution Function - Interpolation)7617.75
Semi Interquartile Difference (Closest Observation)7485
Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit)7617.75
Semi Interquartile Difference (MS Excel (old versions))8041.5
Coefficient of Quartile Variation (Weighted Average at Xnp)0.280726099838728
Coefficient of Quartile Variation (Weighted Average at X(n+1)p)0.291710514169667
Coefficient of Quartile Variation (Empirical Distribution Function)0.280726099838728
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)0.287951606019558
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)0.284154279426301
Coefficient of Quartile Variation (Closest Observation)0.280726099838728
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)0.284154279426301
Coefficient of Quartile Variation (MS Excel (old versions))0.295431583974724
Number of all Pairs of Observations2556
Squared Differences between all Pairs of Observations178872592.674491
Mean Absolute Differences between all Pairs of Observations10796.6095461659
Gini Mean Difference10796.6095461659
Leik Measure of Dispersion0.476651810621189
Index of Diversity0.984504617130785
Index of Qualitative Variation0.998370879343895
Coefficient of Dispersion0.33733452802091
Observations72

\begin{tabular}{lllllllll}
\hline
Variability - Ungrouped Data \tabularnewline
Absolute range & 28026 \tabularnewline
Relative range (unbiased) & 2.96349510715061 \tabularnewline
Relative range (biased) & 2.98429181918909 \tabularnewline
Variance (unbiased) & 89436296.3372457 \tabularnewline
Variance (biased) & 88194125.554784 \tabularnewline
Standard Deviation (unbiased) & 9457.07652169769 \tabularnewline
Standard Deviation (biased) & 9391.17274650956 \tabularnewline
Coefficient of Variation (unbiased) & 0.34248603948128 \tabularnewline
Coefficient of Variation (biased) & 0.340099348107973 \tabularnewline
Mean Squared Error (MSE versus 0) & 850673428.611111 \tabularnewline
Mean Squared Error (MSE versus Mean) & 88194125.554784 \tabularnewline
Mean Absolute Deviation from Mean (MAD Mean) & 8463.89197530864 \tabularnewline
Mean Absolute Deviation from Median (MAD Median) & 8309.72222222222 \tabularnewline
Median Absolute Deviation from Mean & 8318.52777777778 \tabularnewline
Median Absolute Deviation from Median & 7345.5 \tabularnewline
Mean Squared Deviation from Mean & 88194125.554784 \tabularnewline
Mean Squared Deviation from Median & 94557271.9444444 \tabularnewline
Interquartile Difference (Weighted Average at Xnp) & 14970 \tabularnewline
Interquartile Difference (Weighted Average at X(n+1)p) & 15800.5 \tabularnewline
Interquartile Difference (Empirical Distribution Function) & 14970 \tabularnewline
Interquartile Difference (Empirical Distribution Function - Averaging) & 15518 \tabularnewline
Interquartile Difference (Empirical Distribution Function - Interpolation) & 15235.5 \tabularnewline
Interquartile Difference (Closest Observation) & 14970 \tabularnewline
Interquartile Difference (True Basic - Statistics Graphics Toolkit) & 15235.5 \tabularnewline
Interquartile Difference (MS Excel (old versions)) & 16083 \tabularnewline
Semi Interquartile Difference (Weighted Average at Xnp) & 7485 \tabularnewline
Semi Interquartile Difference (Weighted Average at X(n+1)p) & 7900.25 \tabularnewline
Semi Interquartile Difference (Empirical Distribution Function) & 7485 \tabularnewline
Semi Interquartile Difference (Empirical Distribution Function - Averaging) & 7759 \tabularnewline
Semi Interquartile Difference (Empirical Distribution Function - Interpolation) & 7617.75 \tabularnewline
Semi Interquartile Difference (Closest Observation) & 7485 \tabularnewline
Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit) & 7617.75 \tabularnewline
Semi Interquartile Difference (MS Excel (old versions)) & 8041.5 \tabularnewline
Coefficient of Quartile Variation (Weighted Average at Xnp) & 0.280726099838728 \tabularnewline
Coefficient of Quartile Variation (Weighted Average at X(n+1)p) & 0.291710514169667 \tabularnewline
Coefficient of Quartile Variation (Empirical Distribution Function) & 0.280726099838728 \tabularnewline
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging) & 0.287951606019558 \tabularnewline
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation) & 0.284154279426301 \tabularnewline
Coefficient of Quartile Variation (Closest Observation) & 0.280726099838728 \tabularnewline
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit) & 0.284154279426301 \tabularnewline
Coefficient of Quartile Variation (MS Excel (old versions)) & 0.295431583974724 \tabularnewline
Number of all Pairs of Observations & 2556 \tabularnewline
Squared Differences between all Pairs of Observations & 178872592.674491 \tabularnewline
Mean Absolute Differences between all Pairs of Observations & 10796.6095461659 \tabularnewline
Gini Mean Difference & 10796.6095461659 \tabularnewline
Leik Measure of Dispersion & 0.476651810621189 \tabularnewline
Index of Diversity & 0.984504617130785 \tabularnewline
Index of Qualitative Variation & 0.998370879343895 \tabularnewline
Coefficient of Dispersion & 0.33733452802091 \tabularnewline
Observations & 72 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=231239&T=1

[TABLE]
[ROW][C]Variability - Ungrouped Data[/C][/ROW]
[ROW][C]Absolute range[/C][C]28026[/C][/ROW]
[ROW][C]Relative range (unbiased)[/C][C]2.96349510715061[/C][/ROW]
[ROW][C]Relative range (biased)[/C][C]2.98429181918909[/C][/ROW]
[ROW][C]Variance (unbiased)[/C][C]89436296.3372457[/C][/ROW]
[ROW][C]Variance (biased)[/C][C]88194125.554784[/C][/ROW]
[ROW][C]Standard Deviation (unbiased)[/C][C]9457.07652169769[/C][/ROW]
[ROW][C]Standard Deviation (biased)[/C][C]9391.17274650956[/C][/ROW]
[ROW][C]Coefficient of Variation (unbiased)[/C][C]0.34248603948128[/C][/ROW]
[ROW][C]Coefficient of Variation (biased)[/C][C]0.340099348107973[/C][/ROW]
[ROW][C]Mean Squared Error (MSE versus 0)[/C][C]850673428.611111[/C][/ROW]
[ROW][C]Mean Squared Error (MSE versus Mean)[/C][C]88194125.554784[/C][/ROW]
[ROW][C]Mean Absolute Deviation from Mean (MAD Mean)[/C][C]8463.89197530864[/C][/ROW]
[ROW][C]Mean Absolute Deviation from Median (MAD Median)[/C][C]8309.72222222222[/C][/ROW]
[ROW][C]Median Absolute Deviation from Mean[/C][C]8318.52777777778[/C][/ROW]
[ROW][C]Median Absolute Deviation from Median[/C][C]7345.5[/C][/ROW]
[ROW][C]Mean Squared Deviation from Mean[/C][C]88194125.554784[/C][/ROW]
[ROW][C]Mean Squared Deviation from Median[/C][C]94557271.9444444[/C][/ROW]
[ROW][C]Interquartile Difference (Weighted Average at Xnp)[/C][C]14970[/C][/ROW]
[ROW][C]Interquartile Difference (Weighted Average at X(n+1)p)[/C][C]15800.5[/C][/ROW]
[ROW][C]Interquartile Difference (Empirical Distribution Function)[/C][C]14970[/C][/ROW]
[ROW][C]Interquartile Difference (Empirical Distribution Function - Averaging)[/C][C]15518[/C][/ROW]
[ROW][C]Interquartile Difference (Empirical Distribution Function - Interpolation)[/C][C]15235.5[/C][/ROW]
[ROW][C]Interquartile Difference (Closest Observation)[/C][C]14970[/C][/ROW]
[ROW][C]Interquartile Difference (True Basic - Statistics Graphics Toolkit)[/C][C]15235.5[/C][/ROW]
[ROW][C]Interquartile Difference (MS Excel (old versions))[/C][C]16083[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Weighted Average at Xnp)[/C][C]7485[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Weighted Average at X(n+1)p)[/C][C]7900.25[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Empirical Distribution Function)[/C][C]7485[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Empirical Distribution Function - Averaging)[/C][C]7759[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Empirical Distribution Function - Interpolation)[/C][C]7617.75[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Closest Observation)[/C][C]7485[/C][/ROW]
[ROW][C]Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit)[/C][C]7617.75[/C][/ROW]
[ROW][C]Semi Interquartile Difference (MS Excel (old versions))[/C][C]8041.5[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Weighted Average at Xnp)[/C][C]0.280726099838728[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Weighted Average at X(n+1)p)[/C][C]0.291710514169667[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Empirical Distribution Function)[/C][C]0.280726099838728[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)[/C][C]0.287951606019558[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)[/C][C]0.284154279426301[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Closest Observation)[/C][C]0.280726099838728[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)[/C][C]0.284154279426301[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (MS Excel (old versions))[/C][C]0.295431583974724[/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]178872592.674491[/C][/ROW]
[ROW][C]Mean Absolute Differences between all Pairs of Observations[/C][C]10796.6095461659[/C][/ROW]
[ROW][C]Gini Mean Difference[/C][C]10796.6095461659[/C][/ROW]
[ROW][C]Leik Measure of Dispersion[/C][C]0.476651810621189[/C][/ROW]
[ROW][C]Index of Diversity[/C][C]0.984504617130785[/C][/ROW]
[ROW][C]Index of Qualitative Variation[/C][C]0.998370879343895[/C][/ROW]
[ROW][C]Coefficient of Dispersion[/C][C]0.33733452802091[/C][/ROW]
[ROW][C]Observations[/C][C]72[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=231239&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=231239&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 range28026
Relative range (unbiased)2.96349510715061
Relative range (biased)2.98429181918909
Variance (unbiased)89436296.3372457
Variance (biased)88194125.554784
Standard Deviation (unbiased)9457.07652169769
Standard Deviation (biased)9391.17274650956
Coefficient of Variation (unbiased)0.34248603948128
Coefficient of Variation (biased)0.340099348107973
Mean Squared Error (MSE versus 0)850673428.611111
Mean Squared Error (MSE versus Mean)88194125.554784
Mean Absolute Deviation from Mean (MAD Mean)8463.89197530864
Mean Absolute Deviation from Median (MAD Median)8309.72222222222
Median Absolute Deviation from Mean8318.52777777778
Median Absolute Deviation from Median7345.5
Mean Squared Deviation from Mean88194125.554784
Mean Squared Deviation from Median94557271.9444444
Interquartile Difference (Weighted Average at Xnp)14970
Interquartile Difference (Weighted Average at X(n+1)p)15800.5
Interquartile Difference (Empirical Distribution Function)14970
Interquartile Difference (Empirical Distribution Function - Averaging)15518
Interquartile Difference (Empirical Distribution Function - Interpolation)15235.5
Interquartile Difference (Closest Observation)14970
Interquartile Difference (True Basic - Statistics Graphics Toolkit)15235.5
Interquartile Difference (MS Excel (old versions))16083
Semi Interquartile Difference (Weighted Average at Xnp)7485
Semi Interquartile Difference (Weighted Average at X(n+1)p)7900.25
Semi Interquartile Difference (Empirical Distribution Function)7485
Semi Interquartile Difference (Empirical Distribution Function - Averaging)7759
Semi Interquartile Difference (Empirical Distribution Function - Interpolation)7617.75
Semi Interquartile Difference (Closest Observation)7485
Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit)7617.75
Semi Interquartile Difference (MS Excel (old versions))8041.5
Coefficient of Quartile Variation (Weighted Average at Xnp)0.280726099838728
Coefficient of Quartile Variation (Weighted Average at X(n+1)p)0.291710514169667
Coefficient of Quartile Variation (Empirical Distribution Function)0.280726099838728
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)0.287951606019558
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)0.284154279426301
Coefficient of Quartile Variation (Closest Observation)0.280726099838728
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)0.284154279426301
Coefficient of Quartile Variation (MS Excel (old versions))0.295431583974724
Number of all Pairs of Observations2556
Squared Differences between all Pairs of Observations178872592.674491
Mean Absolute Differences between all Pairs of Observations10796.6095461659
Gini Mean Difference10796.6095461659
Leik Measure of Dispersion0.476651810621189
Index of Diversity0.984504617130785
Index of Qualitative Variation0.998370879343895
Coefficient of Dispersion0.33733452802091
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')