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of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_variability.wasp
Title produced by softwareVariability
Date of computationSun, 02 Dec 2012 06:21:47 -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/Dec/02/t1354447896hvj1zbye9pc5egt.htm/, Retrieved Thu, 28 Mar 2024 17:09:00 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=195435, Retrieved Thu, 28 Mar 2024 17:09:00 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact126
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Variability] [] [2012-12-02 11:21:47] [1f67b74fe1ed310301b27ef9f29963ed] [Current]
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Dataseries X:
1,44
1,45
1,45
1,47
1,49
1,5
1,5
1,5
1,5
1,5
1,5
1,51
1,52
1,51
1,51
1,51
1,52
1,52
1,52
1,52
1,52
1,53
1,53
1,53
1,53
1,54
1,54
1,55
1,56
1,55
1,56
1,56
1,56
1,56
1,57
1,56
1,57
1,58
1,58
1,58
1,6
1,61
1,61
1,61
1,6
1,59
1,56
1,57
1,55
1,59
1,62
1,63
1,62
1,56
1,56
1,54
1,54
1,52
1,56
1,59
1,61
1,56
1,51
1,48
1,49
1,48
1,47
1,47
1,46
1,45
1,45
1,45




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

\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
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=195435&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]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=195435&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=195435&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







Variability - Ungrouped Data
Absolute range0.19
Relative range (unbiased)3.92235670996601
Relative range (biased)3.94988235791209
Variance (unbiased)0.0023464593114241
Variance (biased)0.00231386959876544
Standard Deviation (unbiased)0.048440265393824
Standard Deviation (biased)0.0481026984561722
Coefficient of Variation (unbiased)0.0315600317469489
Coefficient of Variation (biased)0.0313400985326613
Mean Squared Error (MSE versus 0)2.3581125
Mean Squared Error (MSE versus Mean)0.00231386959876544
Mean Absolute Deviation from Mean (MAD Mean)0.0401388888888889
Mean Absolute Deviation from Median (MAD Median)0.0401388888888889
Median Absolute Deviation from Mean0.0348611111111112
Median Absolute Deviation from Median0.0349999999999999
Mean Squared Deviation from Mean0.00231386959876544
Mean Squared Deviation from Median0.00231388888888889
Interquartile Difference (Weighted Average at Xnp)0.0600000000000001
Interquartile Difference (Weighted Average at X(n+1)p)0.0674999999999999
Interquartile Difference (Empirical Distribution Function)0.0600000000000001
Interquartile Difference (Empirical Distribution Function - Averaging)0.0649999999999999
Interquartile Difference (Empirical Distribution Function - Interpolation)0.0625
Interquartile Difference (Closest Observation)0.0600000000000001
Interquartile Difference (True Basic - Statistics Graphics Toolkit)0.0625
Interquartile Difference (MS Excel (old versions))0.0700000000000001
Semi Interquartile Difference (Weighted Average at Xnp)0.03
Semi Interquartile Difference (Weighted Average at X(n+1)p)0.0337499999999999
Semi Interquartile Difference (Empirical Distribution Function)0.03
Semi Interquartile Difference (Empirical Distribution Function - Averaging)0.0325
Semi Interquartile Difference (Empirical Distribution Function - Interpolation)0.03125
Semi Interquartile Difference (Closest Observation)0.03
Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit)0.03125
Semi Interquartile Difference (MS Excel (old versions))0.035
Coefficient of Quartile Variation (Weighted Average at Xnp)0.0196078431372549
Coefficient of Quartile Variation (Weighted Average at X(n+1)p)0.0220048899755501
Coefficient of Quartile Variation (Empirical Distribution Function)0.0196078431372549
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)0.0212071778140293
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)0.0204081632653061
Coefficient of Quartile Variation (Closest Observation)0.0196078431372549
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)0.0204081632653061
Coefficient of Quartile Variation (MS Excel (old versions))0.0228013029315961
Number of all Pairs of Observations2556
Squared Differences between all Pairs of Observations0.00469291862284819
Mean Absolute Differences between all Pairs of Observations0.0557081377151803
Gini Mean Difference0.0557081377151807
Leik Measure of Dispersion0.499785246635
Index of Diversity0.986097469419777
Index of Qualitative Variation0.999986166172168
Coefficient of Dispersion0.0261491132826638
Observations72

\begin{tabular}{lllllllll}
\hline
Variability - Ungrouped Data \tabularnewline
Absolute range & 0.19 \tabularnewline
Relative range (unbiased) & 3.92235670996601 \tabularnewline
Relative range (biased) & 3.94988235791209 \tabularnewline
Variance (unbiased) & 0.0023464593114241 \tabularnewline
Variance (biased) & 0.00231386959876544 \tabularnewline
Standard Deviation (unbiased) & 0.048440265393824 \tabularnewline
Standard Deviation (biased) & 0.0481026984561722 \tabularnewline
Coefficient of Variation (unbiased) & 0.0315600317469489 \tabularnewline
Coefficient of Variation (biased) & 0.0313400985326613 \tabularnewline
Mean Squared Error (MSE versus 0) & 2.3581125 \tabularnewline
Mean Squared Error (MSE versus Mean) & 0.00231386959876544 \tabularnewline
Mean Absolute Deviation from Mean (MAD Mean) & 0.0401388888888889 \tabularnewline
Mean Absolute Deviation from Median (MAD Median) & 0.0401388888888889 \tabularnewline
Median Absolute Deviation from Mean & 0.0348611111111112 \tabularnewline
Median Absolute Deviation from Median & 0.0349999999999999 \tabularnewline
Mean Squared Deviation from Mean & 0.00231386959876544 \tabularnewline
Mean Squared Deviation from Median & 0.00231388888888889 \tabularnewline
Interquartile Difference (Weighted Average at Xnp) & 0.0600000000000001 \tabularnewline
Interquartile Difference (Weighted Average at X(n+1)p) & 0.0674999999999999 \tabularnewline
Interquartile Difference (Empirical Distribution Function) & 0.0600000000000001 \tabularnewline
Interquartile Difference (Empirical Distribution Function - Averaging) & 0.0649999999999999 \tabularnewline
Interquartile Difference (Empirical Distribution Function - Interpolation) & 0.0625 \tabularnewline
Interquartile Difference (Closest Observation) & 0.0600000000000001 \tabularnewline
Interquartile Difference (True Basic - Statistics Graphics Toolkit) & 0.0625 \tabularnewline
Interquartile Difference (MS Excel (old versions)) & 0.0700000000000001 \tabularnewline
Semi Interquartile Difference (Weighted Average at Xnp) & 0.03 \tabularnewline
Semi Interquartile Difference (Weighted Average at X(n+1)p) & 0.0337499999999999 \tabularnewline
Semi Interquartile Difference (Empirical Distribution Function) & 0.03 \tabularnewline
Semi Interquartile Difference (Empirical Distribution Function - Averaging) & 0.0325 \tabularnewline
Semi Interquartile Difference (Empirical Distribution Function - Interpolation) & 0.03125 \tabularnewline
Semi Interquartile Difference (Closest Observation) & 0.03 \tabularnewline
Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit) & 0.03125 \tabularnewline
Semi Interquartile Difference (MS Excel (old versions)) & 0.035 \tabularnewline
Coefficient of Quartile Variation (Weighted Average at Xnp) & 0.0196078431372549 \tabularnewline
Coefficient of Quartile Variation (Weighted Average at X(n+1)p) & 0.0220048899755501 \tabularnewline
Coefficient of Quartile Variation (Empirical Distribution Function) & 0.0196078431372549 \tabularnewline
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging) & 0.0212071778140293 \tabularnewline
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation) & 0.0204081632653061 \tabularnewline
Coefficient of Quartile Variation (Closest Observation) & 0.0196078431372549 \tabularnewline
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit) & 0.0204081632653061 \tabularnewline
Coefficient of Quartile Variation (MS Excel (old versions)) & 0.0228013029315961 \tabularnewline
Number of all Pairs of Observations & 2556 \tabularnewline
Squared Differences between all Pairs of Observations & 0.00469291862284819 \tabularnewline
Mean Absolute Differences between all Pairs of Observations & 0.0557081377151803 \tabularnewline
Gini Mean Difference & 0.0557081377151807 \tabularnewline
Leik Measure of Dispersion & 0.499785246635 \tabularnewline
Index of Diversity & 0.986097469419777 \tabularnewline
Index of Qualitative Variation & 0.999986166172168 \tabularnewline
Coefficient of Dispersion & 0.0261491132826638 \tabularnewline
Observations & 72 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=195435&T=1

[TABLE]
[ROW][C]Variability - Ungrouped Data[/C][/ROW]
[ROW][C]Absolute range[/C][C]0.19[/C][/ROW]
[ROW][C]Relative range (unbiased)[/C][C]3.92235670996601[/C][/ROW]
[ROW][C]Relative range (biased)[/C][C]3.94988235791209[/C][/ROW]
[ROW][C]Variance (unbiased)[/C][C]0.0023464593114241[/C][/ROW]
[ROW][C]Variance (biased)[/C][C]0.00231386959876544[/C][/ROW]
[ROW][C]Standard Deviation (unbiased)[/C][C]0.048440265393824[/C][/ROW]
[ROW][C]Standard Deviation (biased)[/C][C]0.0481026984561722[/C][/ROW]
[ROW][C]Coefficient of Variation (unbiased)[/C][C]0.0315600317469489[/C][/ROW]
[ROW][C]Coefficient of Variation (biased)[/C][C]0.0313400985326613[/C][/ROW]
[ROW][C]Mean Squared Error (MSE versus 0)[/C][C]2.3581125[/C][/ROW]
[ROW][C]Mean Squared Error (MSE versus Mean)[/C][C]0.00231386959876544[/C][/ROW]
[ROW][C]Mean Absolute Deviation from Mean (MAD Mean)[/C][C]0.0401388888888889[/C][/ROW]
[ROW][C]Mean Absolute Deviation from Median (MAD Median)[/C][C]0.0401388888888889[/C][/ROW]
[ROW][C]Median Absolute Deviation from Mean[/C][C]0.0348611111111112[/C][/ROW]
[ROW][C]Median Absolute Deviation from Median[/C][C]0.0349999999999999[/C][/ROW]
[ROW][C]Mean Squared Deviation from Mean[/C][C]0.00231386959876544[/C][/ROW]
[ROW][C]Mean Squared Deviation from Median[/C][C]0.00231388888888889[/C][/ROW]
[ROW][C]Interquartile Difference (Weighted Average at Xnp)[/C][C]0.0600000000000001[/C][/ROW]
[ROW][C]Interquartile Difference (Weighted Average at X(n+1)p)[/C][C]0.0674999999999999[/C][/ROW]
[ROW][C]Interquartile Difference (Empirical Distribution Function)[/C][C]0.0600000000000001[/C][/ROW]
[ROW][C]Interquartile Difference (Empirical Distribution Function - Averaging)[/C][C]0.0649999999999999[/C][/ROW]
[ROW][C]Interquartile Difference (Empirical Distribution Function - Interpolation)[/C][C]0.0625[/C][/ROW]
[ROW][C]Interquartile Difference (Closest Observation)[/C][C]0.0600000000000001[/C][/ROW]
[ROW][C]Interquartile Difference (True Basic - Statistics Graphics Toolkit)[/C][C]0.0625[/C][/ROW]
[ROW][C]Interquartile Difference (MS Excel (old versions))[/C][C]0.0700000000000001[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Weighted Average at Xnp)[/C][C]0.03[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Weighted Average at X(n+1)p)[/C][C]0.0337499999999999[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Empirical Distribution Function)[/C][C]0.03[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Empirical Distribution Function - Averaging)[/C][C]0.0325[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Empirical Distribution Function - Interpolation)[/C][C]0.03125[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Closest Observation)[/C][C]0.03[/C][/ROW]
[ROW][C]Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit)[/C][C]0.03125[/C][/ROW]
[ROW][C]Semi Interquartile Difference (MS Excel (old versions))[/C][C]0.035[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Weighted Average at Xnp)[/C][C]0.0196078431372549[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Weighted Average at X(n+1)p)[/C][C]0.0220048899755501[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Empirical Distribution Function)[/C][C]0.0196078431372549[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)[/C][C]0.0212071778140293[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)[/C][C]0.0204081632653061[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Closest Observation)[/C][C]0.0196078431372549[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)[/C][C]0.0204081632653061[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (MS Excel (old versions))[/C][C]0.0228013029315961[/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]0.00469291862284819[/C][/ROW]
[ROW][C]Mean Absolute Differences between all Pairs of Observations[/C][C]0.0557081377151803[/C][/ROW]
[ROW][C]Gini Mean Difference[/C][C]0.0557081377151807[/C][/ROW]
[ROW][C]Leik Measure of Dispersion[/C][C]0.499785246635[/C][/ROW]
[ROW][C]Index of Diversity[/C][C]0.986097469419777[/C][/ROW]
[ROW][C]Index of Qualitative Variation[/C][C]0.999986166172168[/C][/ROW]
[ROW][C]Coefficient of Dispersion[/C][C]0.0261491132826638[/C][/ROW]
[ROW][C]Observations[/C][C]72[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=195435&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=195435&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 range0.19
Relative range (unbiased)3.92235670996601
Relative range (biased)3.94988235791209
Variance (unbiased)0.0023464593114241
Variance (biased)0.00231386959876544
Standard Deviation (unbiased)0.048440265393824
Standard Deviation (biased)0.0481026984561722
Coefficient of Variation (unbiased)0.0315600317469489
Coefficient of Variation (biased)0.0313400985326613
Mean Squared Error (MSE versus 0)2.3581125
Mean Squared Error (MSE versus Mean)0.00231386959876544
Mean Absolute Deviation from Mean (MAD Mean)0.0401388888888889
Mean Absolute Deviation from Median (MAD Median)0.0401388888888889
Median Absolute Deviation from Mean0.0348611111111112
Median Absolute Deviation from Median0.0349999999999999
Mean Squared Deviation from Mean0.00231386959876544
Mean Squared Deviation from Median0.00231388888888889
Interquartile Difference (Weighted Average at Xnp)0.0600000000000001
Interquartile Difference (Weighted Average at X(n+1)p)0.0674999999999999
Interquartile Difference (Empirical Distribution Function)0.0600000000000001
Interquartile Difference (Empirical Distribution Function - Averaging)0.0649999999999999
Interquartile Difference (Empirical Distribution Function - Interpolation)0.0625
Interquartile Difference (Closest Observation)0.0600000000000001
Interquartile Difference (True Basic - Statistics Graphics Toolkit)0.0625
Interquartile Difference (MS Excel (old versions))0.0700000000000001
Semi Interquartile Difference (Weighted Average at Xnp)0.03
Semi Interquartile Difference (Weighted Average at X(n+1)p)0.0337499999999999
Semi Interquartile Difference (Empirical Distribution Function)0.03
Semi Interquartile Difference (Empirical Distribution Function - Averaging)0.0325
Semi Interquartile Difference (Empirical Distribution Function - Interpolation)0.03125
Semi Interquartile Difference (Closest Observation)0.03
Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit)0.03125
Semi Interquartile Difference (MS Excel (old versions))0.035
Coefficient of Quartile Variation (Weighted Average at Xnp)0.0196078431372549
Coefficient of Quartile Variation (Weighted Average at X(n+1)p)0.0220048899755501
Coefficient of Quartile Variation (Empirical Distribution Function)0.0196078431372549
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)0.0212071778140293
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)0.0204081632653061
Coefficient of Quartile Variation (Closest Observation)0.0196078431372549
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)0.0204081632653061
Coefficient of Quartile Variation (MS Excel (old versions))0.0228013029315961
Number of all Pairs of Observations2556
Squared Differences between all Pairs of Observations0.00469291862284819
Mean Absolute Differences between all Pairs of Observations0.0557081377151803
Gini Mean Difference0.0557081377151807
Leik Measure of Dispersion0.499785246635
Index of Diversity0.986097469419777
Index of Qualitative Variation0.999986166172168
Coefficient of Dispersion0.0261491132826638
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')