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 08:43:55 -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/t1386251042xs9yqv0ql31gqt5.htm/, Retrieved Fri, 29 Mar 2024 08:53:09 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=231117, Retrieved Fri, 29 Mar 2024 08:53:09 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact70
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Variability] [] [2013-12-05 13:43:55] [d46004c4f56a1463f2fd3be871dd57bc] [Current]
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Dataseries X:
83,7
86,4
85,9
80,4
81,8
87,5
83,7
87
99,7
101,4
101,9
115,7
123,2
136,9
146,8
149,6
146,5
157
147,9
133,6
128,7
100,8
91,8
89,3
96,7
91,6
93,3
93,3
101
100,4
86,9
83,9
80,3
87,7
92,7
95,5
92
87,4
86,8
83,7
85
81,7
90,9
101,5
113,8
120,1
122,1
132,5
140
149,4
144,3
154,4
151,4
145,5
136,8
146,6
145,1
133,6
131,4
127,5
130,1
131,1
132,3
128,6
125,1
128,7
156,1
163,2
159,8
157,4
156,2
152,5




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=231117&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]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=231117&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=231117&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'Sir Ronald Aylmer Fisher' @ fisher.wessa.net







Variability - Ungrouped Data
Absolute range82.9
Relative range (unbiased)3.08396567626285
Relative range (biased)3.10560780617595
Variance (unbiased)722.586742957746
Variance (biased)712.550815972222
Standard Deviation (unbiased)26.8809736236943
Standard Deviation (biased)26.6936474834786
Coefficient of Variation (unbiased)0.231093372127615
Coefficient of Variation (biased)0.22948294573324
Mean Squared Error (MSE versus 0)14243.0870833333
Mean Squared Error (MSE versus Mean)712.550815972222
Mean Absolute Deviation from Mean (MAD Mean)24.5680555555556
Mean Absolute Deviation from Median (MAD Median)24.5680555555556
Median Absolute Deviation from Mean26.2208333333333
Median Absolute Deviation from Median26.7
Mean Squared Deviation from Mean712.550815972222
Mean Squared Deviation from Median715.044583333333
Interquartile Difference (Weighted Average at Xnp)50.7
Interquartile Difference (Weighted Average at X(n+1)p)53.525
Interquartile Difference (Empirical Distribution Function)50.7
Interquartile Difference (Empirical Distribution Function - Averaging)52.05
Interquartile Difference (Empirical Distribution Function - Interpolation)50.575
Interquartile Difference (Closest Observation)50.7
Interquartile Difference (True Basic - Statistics Graphics Toolkit)50.575
Interquartile Difference (MS Excel (old versions))55
Semi Interquartile Difference (Weighted Average at Xnp)25.35
Semi Interquartile Difference (Weighted Average at X(n+1)p)26.7625
Semi Interquartile Difference (Empirical Distribution Function)25.35
Semi Interquartile Difference (Empirical Distribution Function - Averaging)26.025
Semi Interquartile Difference (Empirical Distribution Function - Interpolation)25.2875
Semi Interquartile Difference (Closest Observation)25.35
Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit)25.2875
Semi Interquartile Difference (MS Excel (old versions))27.5
Coefficient of Quartile Variation (Weighted Average at Xnp)0.221107719145225
Coefficient of Quartile Variation (Weighted Average at X(n+1)p)0.22979499839004
Coefficient of Quartile Variation (Empirical Distribution Function)0.221107719145225
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)0.224111948331539
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)0.218395768109684
Coefficient of Quartile Variation (Closest Observation)0.221107719145225
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)0.218395768109684
Coefficient of Quartile Variation (MS Excel (old versions))0.235445205479452
Number of all Pairs of Observations2556
Squared Differences between all Pairs of Observations1445.17348591549
Mean Absolute Differences between all Pairs of Observations30.7754694835681
Gini Mean Difference30.7754694835681
Leik Measure of Dispersion0.524638007265333
Index of Diversity0.985379688578022
Index of Qualitative Variation0.999258275741093
Coefficient of Dispersion0.208380454245594
Observations72

\begin{tabular}{lllllllll}
\hline
Variability - Ungrouped Data \tabularnewline
Absolute range & 82.9 \tabularnewline
Relative range (unbiased) & 3.08396567626285 \tabularnewline
Relative range (biased) & 3.10560780617595 \tabularnewline
Variance (unbiased) & 722.586742957746 \tabularnewline
Variance (biased) & 712.550815972222 \tabularnewline
Standard Deviation (unbiased) & 26.8809736236943 \tabularnewline
Standard Deviation (biased) & 26.6936474834786 \tabularnewline
Coefficient of Variation (unbiased) & 0.231093372127615 \tabularnewline
Coefficient of Variation (biased) & 0.22948294573324 \tabularnewline
Mean Squared Error (MSE versus 0) & 14243.0870833333 \tabularnewline
Mean Squared Error (MSE versus Mean) & 712.550815972222 \tabularnewline
Mean Absolute Deviation from Mean (MAD Mean) & 24.5680555555556 \tabularnewline
Mean Absolute Deviation from Median (MAD Median) & 24.5680555555556 \tabularnewline
Median Absolute Deviation from Mean & 26.2208333333333 \tabularnewline
Median Absolute Deviation from Median & 26.7 \tabularnewline
Mean Squared Deviation from Mean & 712.550815972222 \tabularnewline
Mean Squared Deviation from Median & 715.044583333333 \tabularnewline
Interquartile Difference (Weighted Average at Xnp) & 50.7 \tabularnewline
Interquartile Difference (Weighted Average at X(n+1)p) & 53.525 \tabularnewline
Interquartile Difference (Empirical Distribution Function) & 50.7 \tabularnewline
Interquartile Difference (Empirical Distribution Function - Averaging) & 52.05 \tabularnewline
Interquartile Difference (Empirical Distribution Function - Interpolation) & 50.575 \tabularnewline
Interquartile Difference (Closest Observation) & 50.7 \tabularnewline
Interquartile Difference (True Basic - Statistics Graphics Toolkit) & 50.575 \tabularnewline
Interquartile Difference (MS Excel (old versions)) & 55 \tabularnewline
Semi Interquartile Difference (Weighted Average at Xnp) & 25.35 \tabularnewline
Semi Interquartile Difference (Weighted Average at X(n+1)p) & 26.7625 \tabularnewline
Semi Interquartile Difference (Empirical Distribution Function) & 25.35 \tabularnewline
Semi Interquartile Difference (Empirical Distribution Function - Averaging) & 26.025 \tabularnewline
Semi Interquartile Difference (Empirical Distribution Function - Interpolation) & 25.2875 \tabularnewline
Semi Interquartile Difference (Closest Observation) & 25.35 \tabularnewline
Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit) & 25.2875 \tabularnewline
Semi Interquartile Difference (MS Excel (old versions)) & 27.5 \tabularnewline
Coefficient of Quartile Variation (Weighted Average at Xnp) & 0.221107719145225 \tabularnewline
Coefficient of Quartile Variation (Weighted Average at X(n+1)p) & 0.22979499839004 \tabularnewline
Coefficient of Quartile Variation (Empirical Distribution Function) & 0.221107719145225 \tabularnewline
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging) & 0.224111948331539 \tabularnewline
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation) & 0.218395768109684 \tabularnewline
Coefficient of Quartile Variation (Closest Observation) & 0.221107719145225 \tabularnewline
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit) & 0.218395768109684 \tabularnewline
Coefficient of Quartile Variation (MS Excel (old versions)) & 0.235445205479452 \tabularnewline
Number of all Pairs of Observations & 2556 \tabularnewline
Squared Differences between all Pairs of Observations & 1445.17348591549 \tabularnewline
Mean Absolute Differences between all Pairs of Observations & 30.7754694835681 \tabularnewline
Gini Mean Difference & 30.7754694835681 \tabularnewline
Leik Measure of Dispersion & 0.524638007265333 \tabularnewline
Index of Diversity & 0.985379688578022 \tabularnewline
Index of Qualitative Variation & 0.999258275741093 \tabularnewline
Coefficient of Dispersion & 0.208380454245594 \tabularnewline
Observations & 72 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=231117&T=1

[TABLE]
[ROW][C]Variability - Ungrouped Data[/C][/ROW]
[ROW][C]Absolute range[/C][C]82.9[/C][/ROW]
[ROW][C]Relative range (unbiased)[/C][C]3.08396567626285[/C][/ROW]
[ROW][C]Relative range (biased)[/C][C]3.10560780617595[/C][/ROW]
[ROW][C]Variance (unbiased)[/C][C]722.586742957746[/C][/ROW]
[ROW][C]Variance (biased)[/C][C]712.550815972222[/C][/ROW]
[ROW][C]Standard Deviation (unbiased)[/C][C]26.8809736236943[/C][/ROW]
[ROW][C]Standard Deviation (biased)[/C][C]26.6936474834786[/C][/ROW]
[ROW][C]Coefficient of Variation (unbiased)[/C][C]0.231093372127615[/C][/ROW]
[ROW][C]Coefficient of Variation (biased)[/C][C]0.22948294573324[/C][/ROW]
[ROW][C]Mean Squared Error (MSE versus 0)[/C][C]14243.0870833333[/C][/ROW]
[ROW][C]Mean Squared Error (MSE versus Mean)[/C][C]712.550815972222[/C][/ROW]
[ROW][C]Mean Absolute Deviation from Mean (MAD Mean)[/C][C]24.5680555555556[/C][/ROW]
[ROW][C]Mean Absolute Deviation from Median (MAD Median)[/C][C]24.5680555555556[/C][/ROW]
[ROW][C]Median Absolute Deviation from Mean[/C][C]26.2208333333333[/C][/ROW]
[ROW][C]Median Absolute Deviation from Median[/C][C]26.7[/C][/ROW]
[ROW][C]Mean Squared Deviation from Mean[/C][C]712.550815972222[/C][/ROW]
[ROW][C]Mean Squared Deviation from Median[/C][C]715.044583333333[/C][/ROW]
[ROW][C]Interquartile Difference (Weighted Average at Xnp)[/C][C]50.7[/C][/ROW]
[ROW][C]Interquartile Difference (Weighted Average at X(n+1)p)[/C][C]53.525[/C][/ROW]
[ROW][C]Interquartile Difference (Empirical Distribution Function)[/C][C]50.7[/C][/ROW]
[ROW][C]Interquartile Difference (Empirical Distribution Function - Averaging)[/C][C]52.05[/C][/ROW]
[ROW][C]Interquartile Difference (Empirical Distribution Function - Interpolation)[/C][C]50.575[/C][/ROW]
[ROW][C]Interquartile Difference (Closest Observation)[/C][C]50.7[/C][/ROW]
[ROW][C]Interquartile Difference (True Basic - Statistics Graphics Toolkit)[/C][C]50.575[/C][/ROW]
[ROW][C]Interquartile Difference (MS Excel (old versions))[/C][C]55[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Weighted Average at Xnp)[/C][C]25.35[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Weighted Average at X(n+1)p)[/C][C]26.7625[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Empirical Distribution Function)[/C][C]25.35[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Empirical Distribution Function - Averaging)[/C][C]26.025[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Empirical Distribution Function - Interpolation)[/C][C]25.2875[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Closest Observation)[/C][C]25.35[/C][/ROW]
[ROW][C]Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit)[/C][C]25.2875[/C][/ROW]
[ROW][C]Semi Interquartile Difference (MS Excel (old versions))[/C][C]27.5[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Weighted Average at Xnp)[/C][C]0.221107719145225[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Weighted Average at X(n+1)p)[/C][C]0.22979499839004[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Empirical Distribution Function)[/C][C]0.221107719145225[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)[/C][C]0.224111948331539[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)[/C][C]0.218395768109684[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Closest Observation)[/C][C]0.221107719145225[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)[/C][C]0.218395768109684[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (MS Excel (old versions))[/C][C]0.235445205479452[/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]1445.17348591549[/C][/ROW]
[ROW][C]Mean Absolute Differences between all Pairs of Observations[/C][C]30.7754694835681[/C][/ROW]
[ROW][C]Gini Mean Difference[/C][C]30.7754694835681[/C][/ROW]
[ROW][C]Leik Measure of Dispersion[/C][C]0.524638007265333[/C][/ROW]
[ROW][C]Index of Diversity[/C][C]0.985379688578022[/C][/ROW]
[ROW][C]Index of Qualitative Variation[/C][C]0.999258275741093[/C][/ROW]
[ROW][C]Coefficient of Dispersion[/C][C]0.208380454245594[/C][/ROW]
[ROW][C]Observations[/C][C]72[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=231117&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=231117&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 range82.9
Relative range (unbiased)3.08396567626285
Relative range (biased)3.10560780617595
Variance (unbiased)722.586742957746
Variance (biased)712.550815972222
Standard Deviation (unbiased)26.8809736236943
Standard Deviation (biased)26.6936474834786
Coefficient of Variation (unbiased)0.231093372127615
Coefficient of Variation (biased)0.22948294573324
Mean Squared Error (MSE versus 0)14243.0870833333
Mean Squared Error (MSE versus Mean)712.550815972222
Mean Absolute Deviation from Mean (MAD Mean)24.5680555555556
Mean Absolute Deviation from Median (MAD Median)24.5680555555556
Median Absolute Deviation from Mean26.2208333333333
Median Absolute Deviation from Median26.7
Mean Squared Deviation from Mean712.550815972222
Mean Squared Deviation from Median715.044583333333
Interquartile Difference (Weighted Average at Xnp)50.7
Interquartile Difference (Weighted Average at X(n+1)p)53.525
Interquartile Difference (Empirical Distribution Function)50.7
Interquartile Difference (Empirical Distribution Function - Averaging)52.05
Interquartile Difference (Empirical Distribution Function - Interpolation)50.575
Interquartile Difference (Closest Observation)50.7
Interquartile Difference (True Basic - Statistics Graphics Toolkit)50.575
Interquartile Difference (MS Excel (old versions))55
Semi Interquartile Difference (Weighted Average at Xnp)25.35
Semi Interquartile Difference (Weighted Average at X(n+1)p)26.7625
Semi Interquartile Difference (Empirical Distribution Function)25.35
Semi Interquartile Difference (Empirical Distribution Function - Averaging)26.025
Semi Interquartile Difference (Empirical Distribution Function - Interpolation)25.2875
Semi Interquartile Difference (Closest Observation)25.35
Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit)25.2875
Semi Interquartile Difference (MS Excel (old versions))27.5
Coefficient of Quartile Variation (Weighted Average at Xnp)0.221107719145225
Coefficient of Quartile Variation (Weighted Average at X(n+1)p)0.22979499839004
Coefficient of Quartile Variation (Empirical Distribution Function)0.221107719145225
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)0.224111948331539
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)0.218395768109684
Coefficient of Quartile Variation (Closest Observation)0.221107719145225
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)0.218395768109684
Coefficient of Quartile Variation (MS Excel (old versions))0.235445205479452
Number of all Pairs of Observations2556
Squared Differences between all Pairs of Observations1445.17348591549
Mean Absolute Differences between all Pairs of Observations30.7754694835681
Gini Mean Difference30.7754694835681
Leik Measure of Dispersion0.524638007265333
Index of Diversity0.985379688578022
Index of Qualitative Variation0.999258275741093
Coefficient of Dispersion0.208380454245594
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')