Free Statistics

of Irreproducible Research!

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_variability.wasp
Title produced by softwareVariability
Date of computationTue, 18 Dec 2012 03:26:54 -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/18/t1355819737z420zvyzkerz417.htm/, Retrieved Fri, 29 Mar 2024 07:38:47 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=201274, Retrieved Fri, 29 Mar 2024 07:38:47 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact152
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Variability] [] [2012-12-18 08:26:54] [908f17a9de5f9a248c0a6ccff2e5399c] [Current]
- R       [Variability] [Intrinsieke motiv...] [2012-12-18 08:35:51] [c2ad4d8e77d85a93bcbf48e9e7fc0d94]
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Dataseries X:
12
11
14
12
21
12
22
11
10
13
10
8
15
14
10
14
14
11
10
13
7
14
12
14
11
9
11
15
14
13
9
15
10
11
13
8
20
12
10
10
9
14
8
14
11
13
9
11
15
11
10
14
18
14
11
12
13
9
10
15
20
12
12
14
13
11
17
12
13
14
13
15
13
10
11
19
13
17
13
9
11
10
9
12
12
13
13
12
15
22
13
15
13
15
10
11
16
11
11
10
10
16
12
11
16
19
11
16
15
24
14
15
11
15
12
10
14
13
9
15
15
14
11
8
11
11
8
10
11
13
11
20
10
15
12
14
23
14
16
11
12
10
14
12
12
11
12
13
11
19
12
17
9
12
19
18
15
14
11
9
18
16




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=201274&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=201274&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=201274&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 range17
Relative range (unbiased)5.36927821177646
Relative range (biased)5.38592717642143
Variance (unbiased)10.0245763361705
Variance (biased)9.96269623532998
Standard Deviation (unbiased)3.16616113553473
Standard Deviation (biased)3.15637390613501
Coefficient of Variation (unbiased)0.245063594819219
Coefficient of Variation (biased)0.24430605484657
Mean Squared Error (MSE versus 0)176.882716049383
Mean Squared Error (MSE versus Mean)9.96269623532998
Mean Absolute Deviation from Mean (MAD Mean)2.41159884163999
Mean Absolute Deviation from Median (MAD Median)2.38888888888889
Median Absolute Deviation from Mean1.91975308641975
Median Absolute Deviation from Median2
Mean Squared Deviation from Mean9.96269623532998
Mean Squared Deviation from Median10.8086419753086
Interquartile Difference (Weighted Average at Xnp)3
Interquartile Difference (Weighted Average at X(n+1)p)3.25
Interquartile Difference (Empirical Distribution Function)3
Interquartile Difference (Empirical Distribution Function - Averaging)3
Interquartile Difference (Empirical Distribution Function - Interpolation)3
Interquartile Difference (Closest Observation)3
Interquartile Difference (True Basic - Statistics Graphics Toolkit)3.75
Interquartile Difference (MS Excel (old versions))3
Semi Interquartile Difference (Weighted Average at Xnp)1.5
Semi Interquartile Difference (Weighted Average at X(n+1)p)1.625
Semi Interquartile Difference (Empirical Distribution Function)1.5
Semi Interquartile Difference (Empirical Distribution Function - Averaging)1.5
Semi Interquartile Difference (Empirical Distribution Function - Interpolation)1.5
Semi Interquartile Difference (Closest Observation)1.5
Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit)1.875
Semi Interquartile Difference (MS Excel (old versions))1.5
Coefficient of Quartile Variation (Weighted Average at Xnp)0.12
Coefficient of Quartile Variation (Weighted Average at X(n+1)p)0.128712871287129
Coefficient of Quartile Variation (Empirical Distribution Function)0.12
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)0.12
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)0.12
Coefficient of Quartile Variation (Closest Observation)0.12
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)0.145631067961165
Coefficient of Quartile Variation (MS Excel (old versions))0.12
Number of all Pairs of Observations13041
Squared Differences between all Pairs of Observations20.0491526723411
Mean Absolute Differences between all Pairs of Observations3.41852618664213
Gini Mean Difference3.41852618664213
Leik Measure of Dispersion0.503298483854789
Index of Diversity0.993458731799786
Index of Qualitative Variation0.999629282928977
Coefficient of Dispersion0.200966570136666
Observations162

\begin{tabular}{lllllllll}
\hline
Variability - Ungrouped Data \tabularnewline
Absolute range & 17 \tabularnewline
Relative range (unbiased) & 5.36927821177646 \tabularnewline
Relative range (biased) & 5.38592717642143 \tabularnewline
Variance (unbiased) & 10.0245763361705 \tabularnewline
Variance (biased) & 9.96269623532998 \tabularnewline
Standard Deviation (unbiased) & 3.16616113553473 \tabularnewline
Standard Deviation (biased) & 3.15637390613501 \tabularnewline
Coefficient of Variation (unbiased) & 0.245063594819219 \tabularnewline
Coefficient of Variation (biased) & 0.24430605484657 \tabularnewline
Mean Squared Error (MSE versus 0) & 176.882716049383 \tabularnewline
Mean Squared Error (MSE versus Mean) & 9.96269623532998 \tabularnewline
Mean Absolute Deviation from Mean (MAD Mean) & 2.41159884163999 \tabularnewline
Mean Absolute Deviation from Median (MAD Median) & 2.38888888888889 \tabularnewline
Median Absolute Deviation from Mean & 1.91975308641975 \tabularnewline
Median Absolute Deviation from Median & 2 \tabularnewline
Mean Squared Deviation from Mean & 9.96269623532998 \tabularnewline
Mean Squared Deviation from Median & 10.8086419753086 \tabularnewline
Interquartile Difference (Weighted Average at Xnp) & 3 \tabularnewline
Interquartile Difference (Weighted Average at X(n+1)p) & 3.25 \tabularnewline
Interquartile Difference (Empirical Distribution Function) & 3 \tabularnewline
Interquartile Difference (Empirical Distribution Function - Averaging) & 3 \tabularnewline
Interquartile Difference (Empirical Distribution Function - Interpolation) & 3 \tabularnewline
Interquartile Difference (Closest Observation) & 3 \tabularnewline
Interquartile Difference (True Basic - Statistics Graphics Toolkit) & 3.75 \tabularnewline
Interquartile Difference (MS Excel (old versions)) & 3 \tabularnewline
Semi Interquartile Difference (Weighted Average at Xnp) & 1.5 \tabularnewline
Semi Interquartile Difference (Weighted Average at X(n+1)p) & 1.625 \tabularnewline
Semi Interquartile Difference (Empirical Distribution Function) & 1.5 \tabularnewline
Semi Interquartile Difference (Empirical Distribution Function - Averaging) & 1.5 \tabularnewline
Semi Interquartile Difference (Empirical Distribution Function - Interpolation) & 1.5 \tabularnewline
Semi Interquartile Difference (Closest Observation) & 1.5 \tabularnewline
Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit) & 1.875 \tabularnewline
Semi Interquartile Difference (MS Excel (old versions)) & 1.5 \tabularnewline
Coefficient of Quartile Variation (Weighted Average at Xnp) & 0.12 \tabularnewline
Coefficient of Quartile Variation (Weighted Average at X(n+1)p) & 0.128712871287129 \tabularnewline
Coefficient of Quartile Variation (Empirical Distribution Function) & 0.12 \tabularnewline
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging) & 0.12 \tabularnewline
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation) & 0.12 \tabularnewline
Coefficient of Quartile Variation (Closest Observation) & 0.12 \tabularnewline
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit) & 0.145631067961165 \tabularnewline
Coefficient of Quartile Variation (MS Excel (old versions)) & 0.12 \tabularnewline
Number of all Pairs of Observations & 13041 \tabularnewline
Squared Differences between all Pairs of Observations & 20.0491526723411 \tabularnewline
Mean Absolute Differences between all Pairs of Observations & 3.41852618664213 \tabularnewline
Gini Mean Difference & 3.41852618664213 \tabularnewline
Leik Measure of Dispersion & 0.503298483854789 \tabularnewline
Index of Diversity & 0.993458731799786 \tabularnewline
Index of Qualitative Variation & 0.999629282928977 \tabularnewline
Coefficient of Dispersion & 0.200966570136666 \tabularnewline
Observations & 162 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=201274&T=1

[TABLE]
[ROW][C]Variability - Ungrouped Data[/C][/ROW]
[ROW][C]Absolute range[/C][C]17[/C][/ROW]
[ROW][C]Relative range (unbiased)[/C][C]5.36927821177646[/C][/ROW]
[ROW][C]Relative range (biased)[/C][C]5.38592717642143[/C][/ROW]
[ROW][C]Variance (unbiased)[/C][C]10.0245763361705[/C][/ROW]
[ROW][C]Variance (biased)[/C][C]9.96269623532998[/C][/ROW]
[ROW][C]Standard Deviation (unbiased)[/C][C]3.16616113553473[/C][/ROW]
[ROW][C]Standard Deviation (biased)[/C][C]3.15637390613501[/C][/ROW]
[ROW][C]Coefficient of Variation (unbiased)[/C][C]0.245063594819219[/C][/ROW]
[ROW][C]Coefficient of Variation (biased)[/C][C]0.24430605484657[/C][/ROW]
[ROW][C]Mean Squared Error (MSE versus 0)[/C][C]176.882716049383[/C][/ROW]
[ROW][C]Mean Squared Error (MSE versus Mean)[/C][C]9.96269623532998[/C][/ROW]
[ROW][C]Mean Absolute Deviation from Mean (MAD Mean)[/C][C]2.41159884163999[/C][/ROW]
[ROW][C]Mean Absolute Deviation from Median (MAD Median)[/C][C]2.38888888888889[/C][/ROW]
[ROW][C]Median Absolute Deviation from Mean[/C][C]1.91975308641975[/C][/ROW]
[ROW][C]Median Absolute Deviation from Median[/C][C]2[/C][/ROW]
[ROW][C]Mean Squared Deviation from Mean[/C][C]9.96269623532998[/C][/ROW]
[ROW][C]Mean Squared Deviation from Median[/C][C]10.8086419753086[/C][/ROW]
[ROW][C]Interquartile Difference (Weighted Average at Xnp)[/C][C]3[/C][/ROW]
[ROW][C]Interquartile Difference (Weighted Average at X(n+1)p)[/C][C]3.25[/C][/ROW]
[ROW][C]Interquartile Difference (Empirical Distribution Function)[/C][C]3[/C][/ROW]
[ROW][C]Interquartile Difference (Empirical Distribution Function - Averaging)[/C][C]3[/C][/ROW]
[ROW][C]Interquartile Difference (Empirical Distribution Function - Interpolation)[/C][C]3[/C][/ROW]
[ROW][C]Interquartile Difference (Closest Observation)[/C][C]3[/C][/ROW]
[ROW][C]Interquartile Difference (True Basic - Statistics Graphics Toolkit)[/C][C]3.75[/C][/ROW]
[ROW][C]Interquartile Difference (MS Excel (old versions))[/C][C]3[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Weighted Average at Xnp)[/C][C]1.5[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Weighted Average at X(n+1)p)[/C][C]1.625[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Empirical Distribution Function)[/C][C]1.5[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Empirical Distribution Function - Averaging)[/C][C]1.5[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Empirical Distribution Function - Interpolation)[/C][C]1.5[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Closest Observation)[/C][C]1.5[/C][/ROW]
[ROW][C]Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit)[/C][C]1.875[/C][/ROW]
[ROW][C]Semi Interquartile Difference (MS Excel (old versions))[/C][C]1.5[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Weighted Average at Xnp)[/C][C]0.12[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Weighted Average at X(n+1)p)[/C][C]0.128712871287129[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Empirical Distribution Function)[/C][C]0.12[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)[/C][C]0.12[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)[/C][C]0.12[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Closest Observation)[/C][C]0.12[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)[/C][C]0.145631067961165[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (MS Excel (old versions))[/C][C]0.12[/C][/ROW]
[ROW][C]Number of all Pairs of Observations[/C][C]13041[/C][/ROW]
[ROW][C]Squared Differences between all Pairs of Observations[/C][C]20.0491526723411[/C][/ROW]
[ROW][C]Mean Absolute Differences between all Pairs of Observations[/C][C]3.41852618664213[/C][/ROW]
[ROW][C]Gini Mean Difference[/C][C]3.41852618664213[/C][/ROW]
[ROW][C]Leik Measure of Dispersion[/C][C]0.503298483854789[/C][/ROW]
[ROW][C]Index of Diversity[/C][C]0.993458731799786[/C][/ROW]
[ROW][C]Index of Qualitative Variation[/C][C]0.999629282928977[/C][/ROW]
[ROW][C]Coefficient of Dispersion[/C][C]0.200966570136666[/C][/ROW]
[ROW][C]Observations[/C][C]162[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=201274&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=201274&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 range17
Relative range (unbiased)5.36927821177646
Relative range (biased)5.38592717642143
Variance (unbiased)10.0245763361705
Variance (biased)9.96269623532998
Standard Deviation (unbiased)3.16616113553473
Standard Deviation (biased)3.15637390613501
Coefficient of Variation (unbiased)0.245063594819219
Coefficient of Variation (biased)0.24430605484657
Mean Squared Error (MSE versus 0)176.882716049383
Mean Squared Error (MSE versus Mean)9.96269623532998
Mean Absolute Deviation from Mean (MAD Mean)2.41159884163999
Mean Absolute Deviation from Median (MAD Median)2.38888888888889
Median Absolute Deviation from Mean1.91975308641975
Median Absolute Deviation from Median2
Mean Squared Deviation from Mean9.96269623532998
Mean Squared Deviation from Median10.8086419753086
Interquartile Difference (Weighted Average at Xnp)3
Interquartile Difference (Weighted Average at X(n+1)p)3.25
Interquartile Difference (Empirical Distribution Function)3
Interquartile Difference (Empirical Distribution Function - Averaging)3
Interquartile Difference (Empirical Distribution Function - Interpolation)3
Interquartile Difference (Closest Observation)3
Interquartile Difference (True Basic - Statistics Graphics Toolkit)3.75
Interquartile Difference (MS Excel (old versions))3
Semi Interquartile Difference (Weighted Average at Xnp)1.5
Semi Interquartile Difference (Weighted Average at X(n+1)p)1.625
Semi Interquartile Difference (Empirical Distribution Function)1.5
Semi Interquartile Difference (Empirical Distribution Function - Averaging)1.5
Semi Interquartile Difference (Empirical Distribution Function - Interpolation)1.5
Semi Interquartile Difference (Closest Observation)1.5
Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit)1.875
Semi Interquartile Difference (MS Excel (old versions))1.5
Coefficient of Quartile Variation (Weighted Average at Xnp)0.12
Coefficient of Quartile Variation (Weighted Average at X(n+1)p)0.128712871287129
Coefficient of Quartile Variation (Empirical Distribution Function)0.12
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)0.12
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)0.12
Coefficient of Quartile Variation (Closest Observation)0.12
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)0.145631067961165
Coefficient of Quartile Variation (MS Excel (old versions))0.12
Number of all Pairs of Observations13041
Squared Differences between all Pairs of Observations20.0491526723411
Mean Absolute Differences between all Pairs of Observations3.41852618664213
Gini Mean Difference3.41852618664213
Leik Measure of Dispersion0.503298483854789
Index of Diversity0.993458731799786
Index of Qualitative Variation0.999629282928977
Coefficient of Dispersion0.200966570136666
Observations162



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')