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 09:53:18 -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/t1355842423o24fpmmzkntafxa.htm/, Retrieved Thu, 28 Mar 2024 18:55:28 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=201446, Retrieved Thu, 28 Mar 2024 18:55:28 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact106
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Testing Mean with unknown Variance - Critical Value] [Workshop 4 - Taak...] [2012-10-23 09:04:05] [4a105833c8ddfdeeca92280f04e021e6]
- R PD  [Testing Mean with unknown Variance - Critical Value] [Workshop 4 - Taak 4] [2012-10-23 13:49:31] [4a105833c8ddfdeeca92280f04e021e6]
- RMP     [One Sample Tests about the Mean] [Workshop 4 - Taak...] [2012-10-23 14:22:39] [4a105833c8ddfdeeca92280f04e021e6]
- RMP       [Variability] [Workshop 4 - Taak 8] [2012-10-23 14:34:13] [4a105833c8ddfdeeca92280f04e021e6]
- R  D          [Variability] [] [2012-12-18 14:53:18] [6805b1a9805384e56de7aaef2a6b549a] [Current]
-    D            [Variability] [] [2012-12-18 15:15:06] [1be67d47f42452f1fa409bb18d08d302]
- RMPD            [Testing Variance - Critical Value (Region)] [] [2012-12-18 15:21:48] [1be67d47f42452f1fa409bb18d08d302]
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Dataseries X:
4
0
4
0
0
0
0
0
4
1
4
0
2
0
0
0
1
0
0
2
2
1
2
0
3
0
0
0
1
0
0
4
0
1
0
0
4




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 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 & 1 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=201446&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]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=201446&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=201446&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'Sir Ronald Aylmer Fisher' @ fisher.wessa.net







Variability - Ungrouped Data
Absolute range4
Relative range (unbiased)2.63821090140409
Relative range (biased)2.67460173634752
Variance (unbiased)2.2987987987988
Variance (biased)2.23666910153397
Standard Deviation (unbiased)1.51617901278141
Standard Deviation (biased)1.4955497656494
Coefficient of Variation (unbiased)1.4024655868228
Coefficient of Variation (biased)1.38338353322569
Mean Squared Error (MSE versus 0)3.40540540540541
Mean Squared Error (MSE versus Mean)2.23666910153397
Mean Absolute Deviation from Mean (MAD Mean)1.2490869247626
Mean Absolute Deviation from Median (MAD Median)1.08108108108108
Median Absolute Deviation from Mean1.08108108108108
Median Absolute Deviation from Median0
Mean Squared Deviation from Mean2.23666910153397
Mean Squared Deviation from Median3.40540540540541
Interquartile Difference (Weighted Average at Xnp)2
Interquartile Difference (Weighted Average at X(n+1)p)2
Interquartile Difference (Empirical Distribution Function)2
Interquartile Difference (Empirical Distribution Function - Averaging)2
Interquartile Difference (Empirical Distribution Function - Interpolation)2
Interquartile Difference (Closest Observation)2
Interquartile Difference (True Basic - Statistics Graphics Toolkit)2
Interquartile Difference (MS Excel (old versions))2
Semi Interquartile Difference (Weighted Average at Xnp)1
Semi Interquartile Difference (Weighted Average at X(n+1)p)1
Semi Interquartile Difference (Empirical Distribution Function)1
Semi Interquartile Difference (Empirical Distribution Function - Averaging)1
Semi Interquartile Difference (Empirical Distribution Function - Interpolation)1
Semi Interquartile Difference (Closest Observation)1
Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit)1
Semi Interquartile Difference (MS Excel (old versions))1
Coefficient of Quartile Variation (Weighted Average at Xnp)1
Coefficient of Quartile Variation (Weighted Average at X(n+1)p)1
Coefficient of Quartile Variation (Empirical Distribution Function)1
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)1
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)1
Coefficient of Quartile Variation (Closest Observation)1
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)1
Coefficient of Quartile Variation (MS Excel (old versions))1
Number of all Pairs of Observations666
Squared Differences between all Pairs of Observations4.5975975975976
Mean Absolute Differences between all Pairs of Observations1.52852852852853
Gini Mean Difference1.52852852852853
Leik Measure of Dispersion0.576388888888889
Index of Diversity0.92125
Index of Qualitative Variation0.946840277777778
Coefficient of DispersionInf
Observations37

\begin{tabular}{lllllllll}
\hline
Variability - Ungrouped Data \tabularnewline
Absolute range & 4 \tabularnewline
Relative range (unbiased) & 2.63821090140409 \tabularnewline
Relative range (biased) & 2.67460173634752 \tabularnewline
Variance (unbiased) & 2.2987987987988 \tabularnewline
Variance (biased) & 2.23666910153397 \tabularnewline
Standard Deviation (unbiased) & 1.51617901278141 \tabularnewline
Standard Deviation (biased) & 1.4955497656494 \tabularnewline
Coefficient of Variation (unbiased) & 1.4024655868228 \tabularnewline
Coefficient of Variation (biased) & 1.38338353322569 \tabularnewline
Mean Squared Error (MSE versus 0) & 3.40540540540541 \tabularnewline
Mean Squared Error (MSE versus Mean) & 2.23666910153397 \tabularnewline
Mean Absolute Deviation from Mean (MAD Mean) & 1.2490869247626 \tabularnewline
Mean Absolute Deviation from Median (MAD Median) & 1.08108108108108 \tabularnewline
Median Absolute Deviation from Mean & 1.08108108108108 \tabularnewline
Median Absolute Deviation from Median & 0 \tabularnewline
Mean Squared Deviation from Mean & 2.23666910153397 \tabularnewline
Mean Squared Deviation from Median & 3.40540540540541 \tabularnewline
Interquartile Difference (Weighted Average at Xnp) & 2 \tabularnewline
Interquartile Difference (Weighted Average at X(n+1)p) & 2 \tabularnewline
Interquartile Difference (Empirical Distribution Function) & 2 \tabularnewline
Interquartile Difference (Empirical Distribution Function - Averaging) & 2 \tabularnewline
Interquartile Difference (Empirical Distribution Function - Interpolation) & 2 \tabularnewline
Interquartile Difference (Closest Observation) & 2 \tabularnewline
Interquartile Difference (True Basic - Statistics Graphics Toolkit) & 2 \tabularnewline
Interquartile Difference (MS Excel (old versions)) & 2 \tabularnewline
Semi Interquartile Difference (Weighted Average at Xnp) & 1 \tabularnewline
Semi Interquartile Difference (Weighted Average at X(n+1)p) & 1 \tabularnewline
Semi Interquartile Difference (Empirical Distribution Function) & 1 \tabularnewline
Semi Interquartile Difference (Empirical Distribution Function - Averaging) & 1 \tabularnewline
Semi Interquartile Difference (Empirical Distribution Function - Interpolation) & 1 \tabularnewline
Semi Interquartile Difference (Closest Observation) & 1 \tabularnewline
Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit) & 1 \tabularnewline
Semi Interquartile Difference (MS Excel (old versions)) & 1 \tabularnewline
Coefficient of Quartile Variation (Weighted Average at Xnp) & 1 \tabularnewline
Coefficient of Quartile Variation (Weighted Average at X(n+1)p) & 1 \tabularnewline
Coefficient of Quartile Variation (Empirical Distribution Function) & 1 \tabularnewline
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging) & 1 \tabularnewline
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation) & 1 \tabularnewline
Coefficient of Quartile Variation (Closest Observation) & 1 \tabularnewline
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit) & 1 \tabularnewline
Coefficient of Quartile Variation (MS Excel (old versions)) & 1 \tabularnewline
Number of all Pairs of Observations & 666 \tabularnewline
Squared Differences between all Pairs of Observations & 4.5975975975976 \tabularnewline
Mean Absolute Differences between all Pairs of Observations & 1.52852852852853 \tabularnewline
Gini Mean Difference & 1.52852852852853 \tabularnewline
Leik Measure of Dispersion & 0.576388888888889 \tabularnewline
Index of Diversity & 0.92125 \tabularnewline
Index of Qualitative Variation & 0.946840277777778 \tabularnewline
Coefficient of Dispersion & Inf \tabularnewline
Observations & 37 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=201446&T=1

[TABLE]
[ROW][C]Variability - Ungrouped Data[/C][/ROW]
[ROW][C]Absolute range[/C][C]4[/C][/ROW]
[ROW][C]Relative range (unbiased)[/C][C]2.63821090140409[/C][/ROW]
[ROW][C]Relative range (biased)[/C][C]2.67460173634752[/C][/ROW]
[ROW][C]Variance (unbiased)[/C][C]2.2987987987988[/C][/ROW]
[ROW][C]Variance (biased)[/C][C]2.23666910153397[/C][/ROW]
[ROW][C]Standard Deviation (unbiased)[/C][C]1.51617901278141[/C][/ROW]
[ROW][C]Standard Deviation (biased)[/C][C]1.4955497656494[/C][/ROW]
[ROW][C]Coefficient of Variation (unbiased)[/C][C]1.4024655868228[/C][/ROW]
[ROW][C]Coefficient of Variation (biased)[/C][C]1.38338353322569[/C][/ROW]
[ROW][C]Mean Squared Error (MSE versus 0)[/C][C]3.40540540540541[/C][/ROW]
[ROW][C]Mean Squared Error (MSE versus Mean)[/C][C]2.23666910153397[/C][/ROW]
[ROW][C]Mean Absolute Deviation from Mean (MAD Mean)[/C][C]1.2490869247626[/C][/ROW]
[ROW][C]Mean Absolute Deviation from Median (MAD Median)[/C][C]1.08108108108108[/C][/ROW]
[ROW][C]Median Absolute Deviation from Mean[/C][C]1.08108108108108[/C][/ROW]
[ROW][C]Median Absolute Deviation from Median[/C][C]0[/C][/ROW]
[ROW][C]Mean Squared Deviation from Mean[/C][C]2.23666910153397[/C][/ROW]
[ROW][C]Mean Squared Deviation from Median[/C][C]3.40540540540541[/C][/ROW]
[ROW][C]Interquartile Difference (Weighted Average at Xnp)[/C][C]2[/C][/ROW]
[ROW][C]Interquartile Difference (Weighted Average at X(n+1)p)[/C][C]2[/C][/ROW]
[ROW][C]Interquartile Difference (Empirical Distribution Function)[/C][C]2[/C][/ROW]
[ROW][C]Interquartile Difference (Empirical Distribution Function - Averaging)[/C][C]2[/C][/ROW]
[ROW][C]Interquartile Difference (Empirical Distribution Function - Interpolation)[/C][C]2[/C][/ROW]
[ROW][C]Interquartile Difference (Closest Observation)[/C][C]2[/C][/ROW]
[ROW][C]Interquartile Difference (True Basic - Statistics Graphics Toolkit)[/C][C]2[/C][/ROW]
[ROW][C]Interquartile Difference (MS Excel (old versions))[/C][C]2[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Weighted Average at Xnp)[/C][C]1[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Weighted Average at X(n+1)p)[/C][C]1[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Empirical Distribution Function)[/C][C]1[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Empirical Distribution Function - Averaging)[/C][C]1[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Empirical Distribution Function - Interpolation)[/C][C]1[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Closest Observation)[/C][C]1[/C][/ROW]
[ROW][C]Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit)[/C][C]1[/C][/ROW]
[ROW][C]Semi Interquartile Difference (MS Excel (old versions))[/C][C]1[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Weighted Average at Xnp)[/C][C]1[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Weighted Average at X(n+1)p)[/C][C]1[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Empirical Distribution Function)[/C][C]1[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)[/C][C]1[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)[/C][C]1[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Closest Observation)[/C][C]1[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)[/C][C]1[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (MS Excel (old versions))[/C][C]1[/C][/ROW]
[ROW][C]Number of all Pairs of Observations[/C][C]666[/C][/ROW]
[ROW][C]Squared Differences between all Pairs of Observations[/C][C]4.5975975975976[/C][/ROW]
[ROW][C]Mean Absolute Differences between all Pairs of Observations[/C][C]1.52852852852853[/C][/ROW]
[ROW][C]Gini Mean Difference[/C][C]1.52852852852853[/C][/ROW]
[ROW][C]Leik Measure of Dispersion[/C][C]0.576388888888889[/C][/ROW]
[ROW][C]Index of Diversity[/C][C]0.92125[/C][/ROW]
[ROW][C]Index of Qualitative Variation[/C][C]0.946840277777778[/C][/ROW]
[ROW][C]Coefficient of Dispersion[/C][C]Inf[/C][/ROW]
[ROW][C]Observations[/C][C]37[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=201446&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=201446&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 range4
Relative range (unbiased)2.63821090140409
Relative range (biased)2.67460173634752
Variance (unbiased)2.2987987987988
Variance (biased)2.23666910153397
Standard Deviation (unbiased)1.51617901278141
Standard Deviation (biased)1.4955497656494
Coefficient of Variation (unbiased)1.4024655868228
Coefficient of Variation (biased)1.38338353322569
Mean Squared Error (MSE versus 0)3.40540540540541
Mean Squared Error (MSE versus Mean)2.23666910153397
Mean Absolute Deviation from Mean (MAD Mean)1.2490869247626
Mean Absolute Deviation from Median (MAD Median)1.08108108108108
Median Absolute Deviation from Mean1.08108108108108
Median Absolute Deviation from Median0
Mean Squared Deviation from Mean2.23666910153397
Mean Squared Deviation from Median3.40540540540541
Interquartile Difference (Weighted Average at Xnp)2
Interquartile Difference (Weighted Average at X(n+1)p)2
Interquartile Difference (Empirical Distribution Function)2
Interquartile Difference (Empirical Distribution Function - Averaging)2
Interquartile Difference (Empirical Distribution Function - Interpolation)2
Interquartile Difference (Closest Observation)2
Interquartile Difference (True Basic - Statistics Graphics Toolkit)2
Interquartile Difference (MS Excel (old versions))2
Semi Interquartile Difference (Weighted Average at Xnp)1
Semi Interquartile Difference (Weighted Average at X(n+1)p)1
Semi Interquartile Difference (Empirical Distribution Function)1
Semi Interquartile Difference (Empirical Distribution Function - Averaging)1
Semi Interquartile Difference (Empirical Distribution Function - Interpolation)1
Semi Interquartile Difference (Closest Observation)1
Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit)1
Semi Interquartile Difference (MS Excel (old versions))1
Coefficient of Quartile Variation (Weighted Average at Xnp)1
Coefficient of Quartile Variation (Weighted Average at X(n+1)p)1
Coefficient of Quartile Variation (Empirical Distribution Function)1
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)1
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)1
Coefficient of Quartile Variation (Closest Observation)1
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)1
Coefficient of Quartile Variation (MS Excel (old versions))1
Number of all Pairs of Observations666
Squared Differences between all Pairs of Observations4.5975975975976
Mean Absolute Differences between all Pairs of Observations1.52852852852853
Gini Mean Difference1.52852852852853
Leik Measure of Dispersion0.576388888888889
Index of Diversity0.92125
Index of Qualitative Variation0.946840277777778
Coefficient of DispersionInf
Observations37



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')