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of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_variability.wasp
Title produced by softwareVariability
Date of computationThu, 20 Nov 2014 15:28:05 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Nov/20/t1416497305bd2uiprbvttd901.htm/, Retrieved Fri, 17 May 2024 05:02:49 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=257193, Retrieved Fri, 17 May 2024 05:02:49 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact73
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Variability] [] [2014-11-20 15:28:05] [deb17a426e61079f456ada9a85a82a78] [Current]
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Dataseries X:
1,5
1,6
1,8
1,5
1,3
1,6
1,6
1,8
1,8
1,6
1,8
2
1,3
1,1
1
1,2
1,2
1,3
1,3
1,4
1,1
0,9
1
1,1
1,4
1,5
1,8
1,8
1,8
1,7
1,5
1,1
1,3
1,6
1,9
1,9
2
2,2
2,2
2
2,3
2,6
3,2
3,2
3,1
2,8
2,3
1,9
1,9
2
2
1,8
1,6
1,4
0,2
0,3
0,4
0,7
1
1,1
0,8
0,8
1
1,1
1
0,8
1,6
1,5
1,6
1,6
1,6
1,9
2
1,9
2
2,1
2,3
2,3
2,6
2,6
2,7
2,6
2,6
2,4
2,5
2,5
2,5
2,4
2,1
2,1
2,3
2,3
2,3
2,9
2,8
2,9
3
3
2,9
2,6
2,8
2,9
3,1
2,8
2,4
1,6
1,5
1,7





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net
R Framework error message
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.

\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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
R Framework error message & 
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.
\tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=257193&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[ROW][C]R Framework error message[/C][C]
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.
[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=257193&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=257193&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'Gwilym Jenkins' @ jenkins.wessa.net
R Framework error message
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.







Variability - Ungrouped Data
Absolute range3
Relative range (unbiased)4.39195755282471
Relative range (biased)4.41243299040794
Variance (unbiased)0.466580131533403
Variance (biased)0.462259945130315
Standard Deviation (unbiased)0.683066710895358
Standard Deviation (biased)0.679897010679055
Coefficient of Variation (unbiased)0.367752765586733
Coefficient of Variation (biased)0.366046247025613
Mean Squared Error (MSE versus 0)3.91222222222222
Mean Squared Error (MSE versus Mean)0.462259945130315
Mean Absolute Deviation from Mean (MAD Mean)0.555829903978052
Mean Absolute Deviation from Median (MAD Median)0.553703703703704
Median Absolute Deviation from Mean0.457407407407407
Median Absolute Deviation from Median0.5
Mean Squared Deviation from Mean0.462259945130315
Mean Squared Deviation from Median0.465555555555556
Interquartile Difference (Weighted Average at Xnp)0.9
Interquartile Difference (Weighted Average at X(n+1)p)0.975
Interquartile Difference (Empirical Distribution Function)0.9
Interquartile Difference (Empirical Distribution Function - Averaging)0.95
Interquartile Difference (Empirical Distribution Function - Interpolation)0.925
Interquartile Difference (Closest Observation)0.9
Interquartile Difference (True Basic - Statistics Graphics Toolkit)0.925
Interquartile Difference (MS Excel (old versions))1
Semi Interquartile Difference (Weighted Average at Xnp)0.45
Semi Interquartile Difference (Weighted Average at X(n+1)p)0.4875
Semi Interquartile Difference (Empirical Distribution Function)0.45
Semi Interquartile Difference (Empirical Distribution Function - Averaging)0.475
Semi Interquartile Difference (Empirical Distribution Function - Interpolation)0.4625
Semi Interquartile Difference (Closest Observation)0.45
Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit)0.4625
Semi Interquartile Difference (MS Excel (old versions))0.5
Coefficient of Quartile Variation (Weighted Average at Xnp)0.243243243243243
Coefficient of Quartile Variation (Weighted Average at X(n+1)p)0.258278145695364
Coefficient of Quartile Variation (Empirical Distribution Function)0.243243243243243
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)0.253333333333333
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)0.248322147651007
Coefficient of Quartile Variation (Closest Observation)0.243243243243243
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)0.248322147651007
Coefficient of Quartile Variation (MS Excel (old versions))0.263157894736842
Number of all Pairs of Observations5778
Squared Differences between all Pairs of Observations0.933160263066806
Mean Absolute Differences between all Pairs of Observations0.781827622014539
Gini Mean Difference0.781827622014543
Leik Measure of Dispersion0.52425899870482
Index of Diversity0.989500093935541
Index of Qualitative Variation0.998747758364845
Coefficient of Dispersion0.308794391098918
Observations108

\begin{tabular}{lllllllll}
\hline
Variability - Ungrouped Data \tabularnewline
Absolute range & 3 \tabularnewline
Relative range (unbiased) & 4.39195755282471 \tabularnewline
Relative range (biased) & 4.41243299040794 \tabularnewline
Variance (unbiased) & 0.466580131533403 \tabularnewline
Variance (biased) & 0.462259945130315 \tabularnewline
Standard Deviation (unbiased) & 0.683066710895358 \tabularnewline
Standard Deviation (biased) & 0.679897010679055 \tabularnewline
Coefficient of Variation (unbiased) & 0.367752765586733 \tabularnewline
Coefficient of Variation (biased) & 0.366046247025613 \tabularnewline
Mean Squared Error (MSE versus 0) & 3.91222222222222 \tabularnewline
Mean Squared Error (MSE versus Mean) & 0.462259945130315 \tabularnewline
Mean Absolute Deviation from Mean (MAD Mean) & 0.555829903978052 \tabularnewline
Mean Absolute Deviation from Median (MAD Median) & 0.553703703703704 \tabularnewline
Median Absolute Deviation from Mean & 0.457407407407407 \tabularnewline
Median Absolute Deviation from Median & 0.5 \tabularnewline
Mean Squared Deviation from Mean & 0.462259945130315 \tabularnewline
Mean Squared Deviation from Median & 0.465555555555556 \tabularnewline
Interquartile Difference (Weighted Average at Xnp) & 0.9 \tabularnewline
Interquartile Difference (Weighted Average at X(n+1)p) & 0.975 \tabularnewline
Interquartile Difference (Empirical Distribution Function) & 0.9 \tabularnewline
Interquartile Difference (Empirical Distribution Function - Averaging) & 0.95 \tabularnewline
Interquartile Difference (Empirical Distribution Function - Interpolation) & 0.925 \tabularnewline
Interquartile Difference (Closest Observation) & 0.9 \tabularnewline
Interquartile Difference (True Basic - Statistics Graphics Toolkit) & 0.925 \tabularnewline
Interquartile Difference (MS Excel (old versions)) & 1 \tabularnewline
Semi Interquartile Difference (Weighted Average at Xnp) & 0.45 \tabularnewline
Semi Interquartile Difference (Weighted Average at X(n+1)p) & 0.4875 \tabularnewline
Semi Interquartile Difference (Empirical Distribution Function) & 0.45 \tabularnewline
Semi Interquartile Difference (Empirical Distribution Function - Averaging) & 0.475 \tabularnewline
Semi Interquartile Difference (Empirical Distribution Function - Interpolation) & 0.4625 \tabularnewline
Semi Interquartile Difference (Closest Observation) & 0.45 \tabularnewline
Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit) & 0.4625 \tabularnewline
Semi Interquartile Difference (MS Excel (old versions)) & 0.5 \tabularnewline
Coefficient of Quartile Variation (Weighted Average at Xnp) & 0.243243243243243 \tabularnewline
Coefficient of Quartile Variation (Weighted Average at X(n+1)p) & 0.258278145695364 \tabularnewline
Coefficient of Quartile Variation (Empirical Distribution Function) & 0.243243243243243 \tabularnewline
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging) & 0.253333333333333 \tabularnewline
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation) & 0.248322147651007 \tabularnewline
Coefficient of Quartile Variation (Closest Observation) & 0.243243243243243 \tabularnewline
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit) & 0.248322147651007 \tabularnewline
Coefficient of Quartile Variation (MS Excel (old versions)) & 0.263157894736842 \tabularnewline
Number of all Pairs of Observations & 5778 \tabularnewline
Squared Differences between all Pairs of Observations & 0.933160263066806 \tabularnewline
Mean Absolute Differences between all Pairs of Observations & 0.781827622014539 \tabularnewline
Gini Mean Difference & 0.781827622014543 \tabularnewline
Leik Measure of Dispersion & 0.52425899870482 \tabularnewline
Index of Diversity & 0.989500093935541 \tabularnewline
Index of Qualitative Variation & 0.998747758364845 \tabularnewline
Coefficient of Dispersion & 0.308794391098918 \tabularnewline
Observations & 108 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=257193&T=1

[TABLE]
[ROW][C]Variability - Ungrouped Data[/C][/ROW]
[ROW][C]Absolute range[/C][C]3[/C][/ROW]
[ROW][C]Relative range (unbiased)[/C][C]4.39195755282471[/C][/ROW]
[ROW][C]Relative range (biased)[/C][C]4.41243299040794[/C][/ROW]
[ROW][C]Variance (unbiased)[/C][C]0.466580131533403[/C][/ROW]
[ROW][C]Variance (biased)[/C][C]0.462259945130315[/C][/ROW]
[ROW][C]Standard Deviation (unbiased)[/C][C]0.683066710895358[/C][/ROW]
[ROW][C]Standard Deviation (biased)[/C][C]0.679897010679055[/C][/ROW]
[ROW][C]Coefficient of Variation (unbiased)[/C][C]0.367752765586733[/C][/ROW]
[ROW][C]Coefficient of Variation (biased)[/C][C]0.366046247025613[/C][/ROW]
[ROW][C]Mean Squared Error (MSE versus 0)[/C][C]3.91222222222222[/C][/ROW]
[ROW][C]Mean Squared Error (MSE versus Mean)[/C][C]0.462259945130315[/C][/ROW]
[ROW][C]Mean Absolute Deviation from Mean (MAD Mean)[/C][C]0.555829903978052[/C][/ROW]
[ROW][C]Mean Absolute Deviation from Median (MAD Median)[/C][C]0.553703703703704[/C][/ROW]
[ROW][C]Median Absolute Deviation from Mean[/C][C]0.457407407407407[/C][/ROW]
[ROW][C]Median Absolute Deviation from Median[/C][C]0.5[/C][/ROW]
[ROW][C]Mean Squared Deviation from Mean[/C][C]0.462259945130315[/C][/ROW]
[ROW][C]Mean Squared Deviation from Median[/C][C]0.465555555555556[/C][/ROW]
[ROW][C]Interquartile Difference (Weighted Average at Xnp)[/C][C]0.9[/C][/ROW]
[ROW][C]Interquartile Difference (Weighted Average at X(n+1)p)[/C][C]0.975[/C][/ROW]
[ROW][C]Interquartile Difference (Empirical Distribution Function)[/C][C]0.9[/C][/ROW]
[ROW][C]Interquartile Difference (Empirical Distribution Function - Averaging)[/C][C]0.95[/C][/ROW]
[ROW][C]Interquartile Difference (Empirical Distribution Function - Interpolation)[/C][C]0.925[/C][/ROW]
[ROW][C]Interquartile Difference (Closest Observation)[/C][C]0.9[/C][/ROW]
[ROW][C]Interquartile Difference (True Basic - Statistics Graphics Toolkit)[/C][C]0.925[/C][/ROW]
[ROW][C]Interquartile Difference (MS Excel (old versions))[/C][C]1[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Weighted Average at Xnp)[/C][C]0.45[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Weighted Average at X(n+1)p)[/C][C]0.4875[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Empirical Distribution Function)[/C][C]0.45[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Empirical Distribution Function - Averaging)[/C][C]0.475[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Empirical Distribution Function - Interpolation)[/C][C]0.4625[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Closest Observation)[/C][C]0.45[/C][/ROW]
[ROW][C]Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit)[/C][C]0.4625[/C][/ROW]
[ROW][C]Semi Interquartile Difference (MS Excel (old versions))[/C][C]0.5[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Weighted Average at Xnp)[/C][C]0.243243243243243[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Weighted Average at X(n+1)p)[/C][C]0.258278145695364[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Empirical Distribution Function)[/C][C]0.243243243243243[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)[/C][C]0.253333333333333[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)[/C][C]0.248322147651007[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Closest Observation)[/C][C]0.243243243243243[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)[/C][C]0.248322147651007[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (MS Excel (old versions))[/C][C]0.263157894736842[/C][/ROW]
[ROW][C]Number of all Pairs of Observations[/C][C]5778[/C][/ROW]
[ROW][C]Squared Differences between all Pairs of Observations[/C][C]0.933160263066806[/C][/ROW]
[ROW][C]Mean Absolute Differences between all Pairs of Observations[/C][C]0.781827622014539[/C][/ROW]
[ROW][C]Gini Mean Difference[/C][C]0.781827622014543[/C][/ROW]
[ROW][C]Leik Measure of Dispersion[/C][C]0.52425899870482[/C][/ROW]
[ROW][C]Index of Diversity[/C][C]0.989500093935541[/C][/ROW]
[ROW][C]Index of Qualitative Variation[/C][C]0.998747758364845[/C][/ROW]
[ROW][C]Coefficient of Dispersion[/C][C]0.308794391098918[/C][/ROW]
[ROW][C]Observations[/C][C]108[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=257193&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=257193&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 range3
Relative range (unbiased)4.39195755282471
Relative range (biased)4.41243299040794
Variance (unbiased)0.466580131533403
Variance (biased)0.462259945130315
Standard Deviation (unbiased)0.683066710895358
Standard Deviation (biased)0.679897010679055
Coefficient of Variation (unbiased)0.367752765586733
Coefficient of Variation (biased)0.366046247025613
Mean Squared Error (MSE versus 0)3.91222222222222
Mean Squared Error (MSE versus Mean)0.462259945130315
Mean Absolute Deviation from Mean (MAD Mean)0.555829903978052
Mean Absolute Deviation from Median (MAD Median)0.553703703703704
Median Absolute Deviation from Mean0.457407407407407
Median Absolute Deviation from Median0.5
Mean Squared Deviation from Mean0.462259945130315
Mean Squared Deviation from Median0.465555555555556
Interquartile Difference (Weighted Average at Xnp)0.9
Interquartile Difference (Weighted Average at X(n+1)p)0.975
Interquartile Difference (Empirical Distribution Function)0.9
Interquartile Difference (Empirical Distribution Function - Averaging)0.95
Interquartile Difference (Empirical Distribution Function - Interpolation)0.925
Interquartile Difference (Closest Observation)0.9
Interquartile Difference (True Basic - Statistics Graphics Toolkit)0.925
Interquartile Difference (MS Excel (old versions))1
Semi Interquartile Difference (Weighted Average at Xnp)0.45
Semi Interquartile Difference (Weighted Average at X(n+1)p)0.4875
Semi Interquartile Difference (Empirical Distribution Function)0.45
Semi Interquartile Difference (Empirical Distribution Function - Averaging)0.475
Semi Interquartile Difference (Empirical Distribution Function - Interpolation)0.4625
Semi Interquartile Difference (Closest Observation)0.45
Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit)0.4625
Semi Interquartile Difference (MS Excel (old versions))0.5
Coefficient of Quartile Variation (Weighted Average at Xnp)0.243243243243243
Coefficient of Quartile Variation (Weighted Average at X(n+1)p)0.258278145695364
Coefficient of Quartile Variation (Empirical Distribution Function)0.243243243243243
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)0.253333333333333
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)0.248322147651007
Coefficient of Quartile Variation (Closest Observation)0.243243243243243
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)0.248322147651007
Coefficient of Quartile Variation (MS Excel (old versions))0.263157894736842
Number of all Pairs of Observations5778
Squared Differences between all Pairs of Observations0.933160263066806
Mean Absolute Differences between all Pairs of Observations0.781827622014539
Gini Mean Difference0.781827622014543
Leik Measure of Dispersion0.52425899870482
Index of Diversity0.989500093935541
Index of Qualitative Variation0.998747758364845
Coefficient of Dispersion0.308794391098918
Observations108



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')