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Author's title

Author*Unverified author*
R Software Modulerwasp_variability.wasp
Title produced by softwareVariability
Date of computationTue, 03 Dec 2013 04:41:12 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/Dec/03/t13860636879svgnhpfuok1ueo.htm/, Retrieved Thu, 28 Mar 2024 10:07:09 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=230188, Retrieved Thu, 28 Mar 2024 10:07:09 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact101
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Variability] [] [2013-12-03 09:41:12] [1b8ce37c5679a09a5286ac5230bb7f24] [Current]
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Dataseries X:
96,86
96,77
96,5
96,01
96,07
95,93
95,93
95,83
96,24
96,25
96,59
96,62
96,62
96,81
96,71
96,45
96,63
96,56
96,56
96,65
97,04
97,14
97,2
97,26
97,26
97,24
97,35
97,36
97,28
97,31
97,31
97,31
97,23
97,78
97,64
97,68
97,68
97,81
97,75
97,63
97,6
97,65
97,65
97,65
97,86
98,41
98,79
98,75
98,74
98,55
98,65
98,86
98,94
99,05
99,05
99,05
99,17
98,99
98,91
98,89
98,89
98,72
98,89
98,97
99,16
99,54
99,54
99,55
100,01
99,52
99,44
99,39
99,39
99,4
100,43
100,62
101,05
100,95
100,95
100,91
101,13
100,81
100,47
100,56




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=230188&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]2 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=230188&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=230188&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 time2 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net







Variability - Ungrouped Data
Absolute range5.3
Relative range (unbiased)3.67133018431789
Relative range (biased)3.69338041371092
Variance (unbiased)2.08403423694779
Variance (biased)2.05922430555555
Standard Deviation (unbiased)1.44361845269025
Standard Deviation (biased)1.43499975803327
Coefficient of Variation (unbiased)0.0147051665313722
Coefficient of Variation (biased)0.0146173737077368
Mean Squared Error (MSE versus 0)9639.57174166667
Mean Squared Error (MSE versus Mean)2.05922430555555
Mean Absolute Deviation from Mean (MAD Mean)1.24827380952381
Mean Absolute Deviation from Median (MAD Median)1.22297619047619
Median Absolute Deviation from Mean0.994166666666665
Median Absolute Deviation from Median1.14
Mean Squared Deviation from Mean2.05922430555555
Mean Squared Deviation from Median2.223925
Interquartile Difference (Weighted Average at Xnp)2.00999999999999
Interquartile Difference (Weighted Average at X(n+1)p)2.06750000000001
Interquartile Difference (Empirical Distribution Function)2.00999999999999
Interquartile Difference (Empirical Distribution Function - Averaging)2.01499999999999
Interquartile Difference (Empirical Distribution Function - Interpolation)1.96249999999999
Interquartile Difference (Closest Observation)2.00999999999999
Interquartile Difference (True Basic - Statistics Graphics Toolkit)1.96249999999998
Interquartile Difference (MS Excel (old versions))2.11999999999999
Semi Interquartile Difference (Weighted Average at Xnp)1.005
Semi Interquartile Difference (Weighted Average at X(n+1)p)1.03375
Semi Interquartile Difference (Empirical Distribution Function)1.005
Semi Interquartile Difference (Empirical Distribution Function - Averaging)1.00749999999999
Semi Interquartile Difference (Empirical Distribution Function - Interpolation)0.981249999999996
Semi Interquartile Difference (Closest Observation)1.005
Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit)0.981249999999989
Semi Interquartile Difference (MS Excel (old versions))1.06
Coefficient of Quartile Variation (Weighted Average at Xnp)0.0102503952266816
Coefficient of Quartile Variation (Weighted Average at X(n+1)p)0.0105378508900471
Coefficient of Quartile Variation (Empirical Distribution Function)0.0102503952266816
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)0.0102703942506179
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)0.01000293079501
Coefficient of Quartile Variation (Closest Observation)0.0102503952266816
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)0.0100029307950099
Coefficient of Quartile Variation (MS Excel (old versions))0.0108053007135575
Number of all Pairs of Observations3486
Squared Differences between all Pairs of Observations4.16806847389556
Mean Absolute Differences between all Pairs of Observations1.65036431440046
Gini Mean Difference1.65036431440045
Leik Measure of Dispersion0.506351776956304
Index of Diversity0.988092694433165
Index of Qualitative Variation0.999997425691396
Coefficient of Dispersion0.0127681052475202
Observations84

\begin{tabular}{lllllllll}
\hline
Variability - Ungrouped Data \tabularnewline
Absolute range & 5.3 \tabularnewline
Relative range (unbiased) & 3.67133018431789 \tabularnewline
Relative range (biased) & 3.69338041371092 \tabularnewline
Variance (unbiased) & 2.08403423694779 \tabularnewline
Variance (biased) & 2.05922430555555 \tabularnewline
Standard Deviation (unbiased) & 1.44361845269025 \tabularnewline
Standard Deviation (biased) & 1.43499975803327 \tabularnewline
Coefficient of Variation (unbiased) & 0.0147051665313722 \tabularnewline
Coefficient of Variation (biased) & 0.0146173737077368 \tabularnewline
Mean Squared Error (MSE versus 0) & 9639.57174166667 \tabularnewline
Mean Squared Error (MSE versus Mean) & 2.05922430555555 \tabularnewline
Mean Absolute Deviation from Mean (MAD Mean) & 1.24827380952381 \tabularnewline
Mean Absolute Deviation from Median (MAD Median) & 1.22297619047619 \tabularnewline
Median Absolute Deviation from Mean & 0.994166666666665 \tabularnewline
Median Absolute Deviation from Median & 1.14 \tabularnewline
Mean Squared Deviation from Mean & 2.05922430555555 \tabularnewline
Mean Squared Deviation from Median & 2.223925 \tabularnewline
Interquartile Difference (Weighted Average at Xnp) & 2.00999999999999 \tabularnewline
Interquartile Difference (Weighted Average at X(n+1)p) & 2.06750000000001 \tabularnewline
Interquartile Difference (Empirical Distribution Function) & 2.00999999999999 \tabularnewline
Interquartile Difference (Empirical Distribution Function - Averaging) & 2.01499999999999 \tabularnewline
Interquartile Difference (Empirical Distribution Function - Interpolation) & 1.96249999999999 \tabularnewline
Interquartile Difference (Closest Observation) & 2.00999999999999 \tabularnewline
Interquartile Difference (True Basic - Statistics Graphics Toolkit) & 1.96249999999998 \tabularnewline
Interquartile Difference (MS Excel (old versions)) & 2.11999999999999 \tabularnewline
Semi Interquartile Difference (Weighted Average at Xnp) & 1.005 \tabularnewline
Semi Interquartile Difference (Weighted Average at X(n+1)p) & 1.03375 \tabularnewline
Semi Interquartile Difference (Empirical Distribution Function) & 1.005 \tabularnewline
Semi Interquartile Difference (Empirical Distribution Function - Averaging) & 1.00749999999999 \tabularnewline
Semi Interquartile Difference (Empirical Distribution Function - Interpolation) & 0.981249999999996 \tabularnewline
Semi Interquartile Difference (Closest Observation) & 1.005 \tabularnewline
Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit) & 0.981249999999989 \tabularnewline
Semi Interquartile Difference (MS Excel (old versions)) & 1.06 \tabularnewline
Coefficient of Quartile Variation (Weighted Average at Xnp) & 0.0102503952266816 \tabularnewline
Coefficient of Quartile Variation (Weighted Average at X(n+1)p) & 0.0105378508900471 \tabularnewline
Coefficient of Quartile Variation (Empirical Distribution Function) & 0.0102503952266816 \tabularnewline
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging) & 0.0102703942506179 \tabularnewline
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation) & 0.01000293079501 \tabularnewline
Coefficient of Quartile Variation (Closest Observation) & 0.0102503952266816 \tabularnewline
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit) & 0.0100029307950099 \tabularnewline
Coefficient of Quartile Variation (MS Excel (old versions)) & 0.0108053007135575 \tabularnewline
Number of all Pairs of Observations & 3486 \tabularnewline
Squared Differences between all Pairs of Observations & 4.16806847389556 \tabularnewline
Mean Absolute Differences between all Pairs of Observations & 1.65036431440046 \tabularnewline
Gini Mean Difference & 1.65036431440045 \tabularnewline
Leik Measure of Dispersion & 0.506351776956304 \tabularnewline
Index of Diversity & 0.988092694433165 \tabularnewline
Index of Qualitative Variation & 0.999997425691396 \tabularnewline
Coefficient of Dispersion & 0.0127681052475202 \tabularnewline
Observations & 84 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=230188&T=1

[TABLE]
[ROW][C]Variability - Ungrouped Data[/C][/ROW]
[ROW][C]Absolute range[/C][C]5.3[/C][/ROW]
[ROW][C]Relative range (unbiased)[/C][C]3.67133018431789[/C][/ROW]
[ROW][C]Relative range (biased)[/C][C]3.69338041371092[/C][/ROW]
[ROW][C]Variance (unbiased)[/C][C]2.08403423694779[/C][/ROW]
[ROW][C]Variance (biased)[/C][C]2.05922430555555[/C][/ROW]
[ROW][C]Standard Deviation (unbiased)[/C][C]1.44361845269025[/C][/ROW]
[ROW][C]Standard Deviation (biased)[/C][C]1.43499975803327[/C][/ROW]
[ROW][C]Coefficient of Variation (unbiased)[/C][C]0.0147051665313722[/C][/ROW]
[ROW][C]Coefficient of Variation (biased)[/C][C]0.0146173737077368[/C][/ROW]
[ROW][C]Mean Squared Error (MSE versus 0)[/C][C]9639.57174166667[/C][/ROW]
[ROW][C]Mean Squared Error (MSE versus Mean)[/C][C]2.05922430555555[/C][/ROW]
[ROW][C]Mean Absolute Deviation from Mean (MAD Mean)[/C][C]1.24827380952381[/C][/ROW]
[ROW][C]Mean Absolute Deviation from Median (MAD Median)[/C][C]1.22297619047619[/C][/ROW]
[ROW][C]Median Absolute Deviation from Mean[/C][C]0.994166666666665[/C][/ROW]
[ROW][C]Median Absolute Deviation from Median[/C][C]1.14[/C][/ROW]
[ROW][C]Mean Squared Deviation from Mean[/C][C]2.05922430555555[/C][/ROW]
[ROW][C]Mean Squared Deviation from Median[/C][C]2.223925[/C][/ROW]
[ROW][C]Interquartile Difference (Weighted Average at Xnp)[/C][C]2.00999999999999[/C][/ROW]
[ROW][C]Interquartile Difference (Weighted Average at X(n+1)p)[/C][C]2.06750000000001[/C][/ROW]
[ROW][C]Interquartile Difference (Empirical Distribution Function)[/C][C]2.00999999999999[/C][/ROW]
[ROW][C]Interquartile Difference (Empirical Distribution Function - Averaging)[/C][C]2.01499999999999[/C][/ROW]
[ROW][C]Interquartile Difference (Empirical Distribution Function - Interpolation)[/C][C]1.96249999999999[/C][/ROW]
[ROW][C]Interquartile Difference (Closest Observation)[/C][C]2.00999999999999[/C][/ROW]
[ROW][C]Interquartile Difference (True Basic - Statistics Graphics Toolkit)[/C][C]1.96249999999998[/C][/ROW]
[ROW][C]Interquartile Difference (MS Excel (old versions))[/C][C]2.11999999999999[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Weighted Average at Xnp)[/C][C]1.005[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Weighted Average at X(n+1)p)[/C][C]1.03375[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Empirical Distribution Function)[/C][C]1.005[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Empirical Distribution Function - Averaging)[/C][C]1.00749999999999[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Empirical Distribution Function - Interpolation)[/C][C]0.981249999999996[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Closest Observation)[/C][C]1.005[/C][/ROW]
[ROW][C]Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit)[/C][C]0.981249999999989[/C][/ROW]
[ROW][C]Semi Interquartile Difference (MS Excel (old versions))[/C][C]1.06[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Weighted Average at Xnp)[/C][C]0.0102503952266816[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Weighted Average at X(n+1)p)[/C][C]0.0105378508900471[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Empirical Distribution Function)[/C][C]0.0102503952266816[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)[/C][C]0.0102703942506179[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)[/C][C]0.01000293079501[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Closest Observation)[/C][C]0.0102503952266816[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)[/C][C]0.0100029307950099[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (MS Excel (old versions))[/C][C]0.0108053007135575[/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]4.16806847389556[/C][/ROW]
[ROW][C]Mean Absolute Differences between all Pairs of Observations[/C][C]1.65036431440046[/C][/ROW]
[ROW][C]Gini Mean Difference[/C][C]1.65036431440045[/C][/ROW]
[ROW][C]Leik Measure of Dispersion[/C][C]0.506351776956304[/C][/ROW]
[ROW][C]Index of Diversity[/C][C]0.988092694433165[/C][/ROW]
[ROW][C]Index of Qualitative Variation[/C][C]0.999997425691396[/C][/ROW]
[ROW][C]Coefficient of Dispersion[/C][C]0.0127681052475202[/C][/ROW]
[ROW][C]Observations[/C][C]84[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=230188&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=230188&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 range5.3
Relative range (unbiased)3.67133018431789
Relative range (biased)3.69338041371092
Variance (unbiased)2.08403423694779
Variance (biased)2.05922430555555
Standard Deviation (unbiased)1.44361845269025
Standard Deviation (biased)1.43499975803327
Coefficient of Variation (unbiased)0.0147051665313722
Coefficient of Variation (biased)0.0146173737077368
Mean Squared Error (MSE versus 0)9639.57174166667
Mean Squared Error (MSE versus Mean)2.05922430555555
Mean Absolute Deviation from Mean (MAD Mean)1.24827380952381
Mean Absolute Deviation from Median (MAD Median)1.22297619047619
Median Absolute Deviation from Mean0.994166666666665
Median Absolute Deviation from Median1.14
Mean Squared Deviation from Mean2.05922430555555
Mean Squared Deviation from Median2.223925
Interquartile Difference (Weighted Average at Xnp)2.00999999999999
Interquartile Difference (Weighted Average at X(n+1)p)2.06750000000001
Interquartile Difference (Empirical Distribution Function)2.00999999999999
Interquartile Difference (Empirical Distribution Function - Averaging)2.01499999999999
Interquartile Difference (Empirical Distribution Function - Interpolation)1.96249999999999
Interquartile Difference (Closest Observation)2.00999999999999
Interquartile Difference (True Basic - Statistics Graphics Toolkit)1.96249999999998
Interquartile Difference (MS Excel (old versions))2.11999999999999
Semi Interquartile Difference (Weighted Average at Xnp)1.005
Semi Interquartile Difference (Weighted Average at X(n+1)p)1.03375
Semi Interquartile Difference (Empirical Distribution Function)1.005
Semi Interquartile Difference (Empirical Distribution Function - Averaging)1.00749999999999
Semi Interquartile Difference (Empirical Distribution Function - Interpolation)0.981249999999996
Semi Interquartile Difference (Closest Observation)1.005
Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit)0.981249999999989
Semi Interquartile Difference (MS Excel (old versions))1.06
Coefficient of Quartile Variation (Weighted Average at Xnp)0.0102503952266816
Coefficient of Quartile Variation (Weighted Average at X(n+1)p)0.0105378508900471
Coefficient of Quartile Variation (Empirical Distribution Function)0.0102503952266816
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)0.0102703942506179
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)0.01000293079501
Coefficient of Quartile Variation (Closest Observation)0.0102503952266816
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)0.0100029307950099
Coefficient of Quartile Variation (MS Excel (old versions))0.0108053007135575
Number of all Pairs of Observations3486
Squared Differences between all Pairs of Observations4.16806847389556
Mean Absolute Differences between all Pairs of Observations1.65036431440046
Gini Mean Difference1.65036431440045
Leik Measure of Dispersion0.506351776956304
Index of Diversity0.988092694433165
Index of Qualitative Variation0.999997425691396
Coefficient of Dispersion0.0127681052475202
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')