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 computationMon, 17 Dec 2012 16:36:01 -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/17/t1355780196z9vztvjrd1m0v1q.htm/, Retrieved Fri, 29 Mar 2024 13:37:49 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=201222, Retrieved Fri, 29 Mar 2024 13:37:49 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact85
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Variability] [] [2012-12-17 21:36:01] [311e8979fc66fc3b169c8163f1497ef3] [Current]
Feedback Forum

Post a new message
Dataseries X:
13
16
19
15
14
13
19
15
14
15
16
16
16
16
17
15
15
20
18
16
16
16
19
16
17
17
16
15
16
14
15
12
14
16
14
7
10
14
16
16
16
14
20
14
14
11
14
15
16
14
16
14
12
16
9
14
16
16
15
16
12
16
16
14
16
17
18
18
12
16
10
14
18
18
16
17
16
16
13
16
16
20
16
15
15
16
14
16
16
15
12
17
16
15
13
16
16
16
16
14
16
16
20
15
16
13
17
16
16
12
16
16
17
13
12
18
14
14
13
16
13
16
13
16
15
16
15
17
15
12
16
10
16
12
14
15
13
15
11
12
8
16
15
17
16
10
18
13
16
13
10
15
16
16
14
10
17
13
15
16
12
13




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=201222&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=201222&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=201222&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 range13
Relative range (unbiased)5.76174464826564
Relative range (biased)5.77961056602195
Variance (unbiased)5.09071390230811
Variance (biased)5.05928974241731
Standard Deviation (unbiased)2.25626104480579
Standard Deviation (biased)2.24928649629551
Coefficient of Variation (unbiased)0.150914239991139
Coefficient of Variation (biased)0.150447734269146
Mean Squared Error (MSE versus 0)228.58024691358
Mean Squared Error (MSE versus Mean)5.05928974241731
Mean Absolute Deviation from Mean (MAD Mean)1.70598994055784
Mean Absolute Deviation from Median (MAD Median)1.66666666666667
Median Absolute Deviation from Mean1.04938271604938
Median Absolute Deviation from Median1
Mean Squared Deviation from Mean5.05928974241731
Mean Squared Deviation from Median6.16049382716049
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)0.0666666666666667
Coefficient of Quartile Variation (Weighted Average at X(n+1)p)0.0666666666666667
Coefficient of Quartile Variation (Empirical Distribution Function)0.0666666666666667
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)0.0666666666666667
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)0.0666666666666667
Coefficient of Quartile Variation (Closest Observation)0.0666666666666667
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)0.0666666666666667
Coefficient of Quartile Variation (MS Excel (old versions))0.0666666666666667
Number of all Pairs of Observations13041
Squared Differences between all Pairs of Observations10.1814278046162
Mean Absolute Differences between all Pairs of Observations2.40533701403267
Gini Mean Difference2.40533701403267
Leik Measure of Dispersion0.497950977324833
Index of Diversity0.993687441229959
Index of Qualitative Variation0.999859412914617
Coefficient of Dispersion0.106624371284865
Observations162

\begin{tabular}{lllllllll}
\hline
Variability - Ungrouped Data \tabularnewline
Absolute range & 13 \tabularnewline
Relative range (unbiased) & 5.76174464826564 \tabularnewline
Relative range (biased) & 5.77961056602195 \tabularnewline
Variance (unbiased) & 5.09071390230811 \tabularnewline
Variance (biased) & 5.05928974241731 \tabularnewline
Standard Deviation (unbiased) & 2.25626104480579 \tabularnewline
Standard Deviation (biased) & 2.24928649629551 \tabularnewline
Coefficient of Variation (unbiased) & 0.150914239991139 \tabularnewline
Coefficient of Variation (biased) & 0.150447734269146 \tabularnewline
Mean Squared Error (MSE versus 0) & 228.58024691358 \tabularnewline
Mean Squared Error (MSE versus Mean) & 5.05928974241731 \tabularnewline
Mean Absolute Deviation from Mean (MAD Mean) & 1.70598994055784 \tabularnewline
Mean Absolute Deviation from Median (MAD Median) & 1.66666666666667 \tabularnewline
Median Absolute Deviation from Mean & 1.04938271604938 \tabularnewline
Median Absolute Deviation from Median & 1 \tabularnewline
Mean Squared Deviation from Mean & 5.05928974241731 \tabularnewline
Mean Squared Deviation from Median & 6.16049382716049 \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) & 0.0666666666666667 \tabularnewline
Coefficient of Quartile Variation (Weighted Average at X(n+1)p) & 0.0666666666666667 \tabularnewline
Coefficient of Quartile Variation (Empirical Distribution Function) & 0.0666666666666667 \tabularnewline
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging) & 0.0666666666666667 \tabularnewline
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation) & 0.0666666666666667 \tabularnewline
Coefficient of Quartile Variation (Closest Observation) & 0.0666666666666667 \tabularnewline
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit) & 0.0666666666666667 \tabularnewline
Coefficient of Quartile Variation (MS Excel (old versions)) & 0.0666666666666667 \tabularnewline
Number of all Pairs of Observations & 13041 \tabularnewline
Squared Differences between all Pairs of Observations & 10.1814278046162 \tabularnewline
Mean Absolute Differences between all Pairs of Observations & 2.40533701403267 \tabularnewline
Gini Mean Difference & 2.40533701403267 \tabularnewline
Leik Measure of Dispersion & 0.497950977324833 \tabularnewline
Index of Diversity & 0.993687441229959 \tabularnewline
Index of Qualitative Variation & 0.999859412914617 \tabularnewline
Coefficient of Dispersion & 0.106624371284865 \tabularnewline
Observations & 162 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=201222&T=1

[TABLE]
[ROW][C]Variability - Ungrouped Data[/C][/ROW]
[ROW][C]Absolute range[/C][C]13[/C][/ROW]
[ROW][C]Relative range (unbiased)[/C][C]5.76174464826564[/C][/ROW]
[ROW][C]Relative range (biased)[/C][C]5.77961056602195[/C][/ROW]
[ROW][C]Variance (unbiased)[/C][C]5.09071390230811[/C][/ROW]
[ROW][C]Variance (biased)[/C][C]5.05928974241731[/C][/ROW]
[ROW][C]Standard Deviation (unbiased)[/C][C]2.25626104480579[/C][/ROW]
[ROW][C]Standard Deviation (biased)[/C][C]2.24928649629551[/C][/ROW]
[ROW][C]Coefficient of Variation (unbiased)[/C][C]0.150914239991139[/C][/ROW]
[ROW][C]Coefficient of Variation (biased)[/C][C]0.150447734269146[/C][/ROW]
[ROW][C]Mean Squared Error (MSE versus 0)[/C][C]228.58024691358[/C][/ROW]
[ROW][C]Mean Squared Error (MSE versus Mean)[/C][C]5.05928974241731[/C][/ROW]
[ROW][C]Mean Absolute Deviation from Mean (MAD Mean)[/C][C]1.70598994055784[/C][/ROW]
[ROW][C]Mean Absolute Deviation from Median (MAD Median)[/C][C]1.66666666666667[/C][/ROW]
[ROW][C]Median Absolute Deviation from Mean[/C][C]1.04938271604938[/C][/ROW]
[ROW][C]Median Absolute Deviation from Median[/C][C]1[/C][/ROW]
[ROW][C]Mean Squared Deviation from Mean[/C][C]5.05928974241731[/C][/ROW]
[ROW][C]Mean Squared Deviation from Median[/C][C]6.16049382716049[/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]0.0666666666666667[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Weighted Average at X(n+1)p)[/C][C]0.0666666666666667[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Empirical Distribution Function)[/C][C]0.0666666666666667[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)[/C][C]0.0666666666666667[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)[/C][C]0.0666666666666667[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Closest Observation)[/C][C]0.0666666666666667[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)[/C][C]0.0666666666666667[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (MS Excel (old versions))[/C][C]0.0666666666666667[/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]10.1814278046162[/C][/ROW]
[ROW][C]Mean Absolute Differences between all Pairs of Observations[/C][C]2.40533701403267[/C][/ROW]
[ROW][C]Gini Mean Difference[/C][C]2.40533701403267[/C][/ROW]
[ROW][C]Leik Measure of Dispersion[/C][C]0.497950977324833[/C][/ROW]
[ROW][C]Index of Diversity[/C][C]0.993687441229959[/C][/ROW]
[ROW][C]Index of Qualitative Variation[/C][C]0.999859412914617[/C][/ROW]
[ROW][C]Coefficient of Dispersion[/C][C]0.106624371284865[/C][/ROW]
[ROW][C]Observations[/C][C]162[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=201222&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=201222&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 range13
Relative range (unbiased)5.76174464826564
Relative range (biased)5.77961056602195
Variance (unbiased)5.09071390230811
Variance (biased)5.05928974241731
Standard Deviation (unbiased)2.25626104480579
Standard Deviation (biased)2.24928649629551
Coefficient of Variation (unbiased)0.150914239991139
Coefficient of Variation (biased)0.150447734269146
Mean Squared Error (MSE versus 0)228.58024691358
Mean Squared Error (MSE versus Mean)5.05928974241731
Mean Absolute Deviation from Mean (MAD Mean)1.70598994055784
Mean Absolute Deviation from Median (MAD Median)1.66666666666667
Median Absolute Deviation from Mean1.04938271604938
Median Absolute Deviation from Median1
Mean Squared Deviation from Mean5.05928974241731
Mean Squared Deviation from Median6.16049382716049
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)0.0666666666666667
Coefficient of Quartile Variation (Weighted Average at X(n+1)p)0.0666666666666667
Coefficient of Quartile Variation (Empirical Distribution Function)0.0666666666666667
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)0.0666666666666667
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)0.0666666666666667
Coefficient of Quartile Variation (Closest Observation)0.0666666666666667
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)0.0666666666666667
Coefficient of Quartile Variation (MS Excel (old versions))0.0666666666666667
Number of all Pairs of Observations13041
Squared Differences between all Pairs of Observations10.1814278046162
Mean Absolute Differences between all Pairs of Observations2.40533701403267
Gini Mean Difference2.40533701403267
Leik Measure of Dispersion0.497950977324833
Index of Diversity0.993687441229959
Index of Qualitative Variation0.999859412914617
Coefficient of Dispersion0.106624371284865
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')