Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_variability.wasp
Title produced by softwareVariability
Date of computationTue, 29 Nov 2011 14:02:46 -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/2011/Nov/29/t1322593415cq2o8vu4gghkly5.htm/, Retrieved Fri, 29 Mar 2024 15:17:33 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=148677, Retrieved Fri, 29 Mar 2024 15:17:33 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W83
Estimated Impact70
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Variability] [] [2011-11-29 19:02:46] [c7947c1eb3210bb9ed87c20003884d6d] [Current]
Feedback Forum

Post a new message
Dataseries X:
47460
50104
61465
53726
39477
43895
31481
29896
33842
39120
33702
25094
51442
45594
52518
48564
41745
49585
32747
33379
35645
37034
35681
20972
58552
54955
65540
51570
51145
46641
35704
33253
35193
41668
34865
21210
56126
49231
59723
48103
47472
50497
40059
34149
36860
46356
36577
23872
57276
56389
57657
62300
48929
51168
39636
33213
38127
43291
30600
21956
48033
46148
50736
48114
38390
44112
36287
30333
35908
40005
35263
26591
49709
47840
64781
57802
48154
54353
39737
37732
37163
43782
40649
29412




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'AstonUniversity' @ aston.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 & 'AstonUniversity' @ aston.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148677&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]'AstonUniversity' @ aston.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148677&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148677&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'AstonUniversity' @ aston.wessa.net







Variability - Ungrouped Data
Absolute range44568
Relative range (unbiased)4.26293832160581
Relative range (biased)4.2885417849721
Variance (unbiased)109302021.140993
Variance (biased)108000806.6036
Standard Deviation (unbiased)10454.7606926698
Standard Deviation (biased)10392.3436530746
Coefficient of Variation (unbiased)0.243601682128966
Coefficient of Variation (biased)0.242147330730033
Mean Squared Error (MSE versus 0)1949907503.63095
Mean Squared Error (MSE versus Mean)108000806.6036
Mean Absolute Deviation from Mean (MAD Mean)8769.17857142857
Mean Absolute Deviation from Median (MAD Median)8769.17857142857
Median Absolute Deviation from Mean7426
Median Absolute Deviation from Median7290
Mean Squared Deviation from Mean108000806.6036
Mean Squared Deviation from Median108160359.297619
Interquartile Difference (Weighted Average at Xnp)14841
Interquartile Difference (Weighted Average at X(n+1)p)15040.25
Interquartile Difference (Empirical Distribution Function)14841
Interquartile Difference (Empirical Distribution Function - Averaging)14846.5
Interquartile Difference (Empirical Distribution Function - Interpolation)14652.75
Interquartile Difference (Closest Observation)14841
Interquartile Difference (True Basic - Statistics Graphics Toolkit)14652.75
Interquartile Difference (MS Excel (old versions))15234
Semi Interquartile Difference (Weighted Average at Xnp)7420.5
Semi Interquartile Difference (Weighted Average at X(n+1)p)7520.125
Semi Interquartile Difference (Empirical Distribution Function)7420.5
Semi Interquartile Difference (Empirical Distribution Function - Averaging)7423.25
Semi Interquartile Difference (Empirical Distribution Function - Interpolation)7326.375
Semi Interquartile Difference (Closest Observation)7420.5
Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit)7326.375
Semi Interquartile Difference (MS Excel (old versions))7617
Coefficient of Quartile Variation (Weighted Average at Xnp)0.173849379736901
Coefficient of Quartile Variation (Weighted Average at X(n+1)p)0.175381673269607
Coefficient of Quartile Variation (Empirical Distribution Function)0.173849379736901
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)0.173127940807771
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)0.170874063794616
Coefficient of Quartile Variation (Closest Observation)0.173849379736901
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)0.170874063794616
Coefficient of Quartile Variation (MS Excel (old versions))0.17763526119403
Number of all Pairs of Observations3486
Squared Differences between all Pairs of Observations218604042.281985
Mean Absolute Differences between all Pairs of Observations11978.7013769363
Gini Mean Difference11978.7013769363
Leik Measure of Dispersion0.502292178312244
Index of Diversity0.987397198455004
Index of Qualitative Variation0.999293550243618
Coefficient of Dispersion0.206246262087318
Observations84

\begin{tabular}{lllllllll}
\hline
Variability - Ungrouped Data \tabularnewline
Absolute range & 44568 \tabularnewline
Relative range (unbiased) & 4.26293832160581 \tabularnewline
Relative range (biased) & 4.2885417849721 \tabularnewline
Variance (unbiased) & 109302021.140993 \tabularnewline
Variance (biased) & 108000806.6036 \tabularnewline
Standard Deviation (unbiased) & 10454.7606926698 \tabularnewline
Standard Deviation (biased) & 10392.3436530746 \tabularnewline
Coefficient of Variation (unbiased) & 0.243601682128966 \tabularnewline
Coefficient of Variation (biased) & 0.242147330730033 \tabularnewline
Mean Squared Error (MSE versus 0) & 1949907503.63095 \tabularnewline
Mean Squared Error (MSE versus Mean) & 108000806.6036 \tabularnewline
Mean Absolute Deviation from Mean (MAD Mean) & 8769.17857142857 \tabularnewline
Mean Absolute Deviation from Median (MAD Median) & 8769.17857142857 \tabularnewline
Median Absolute Deviation from Mean & 7426 \tabularnewline
Median Absolute Deviation from Median & 7290 \tabularnewline
Mean Squared Deviation from Mean & 108000806.6036 \tabularnewline
Mean Squared Deviation from Median & 108160359.297619 \tabularnewline
Interquartile Difference (Weighted Average at Xnp) & 14841 \tabularnewline
Interquartile Difference (Weighted Average at X(n+1)p) & 15040.25 \tabularnewline
Interquartile Difference (Empirical Distribution Function) & 14841 \tabularnewline
Interquartile Difference (Empirical Distribution Function - Averaging) & 14846.5 \tabularnewline
Interquartile Difference (Empirical Distribution Function - Interpolation) & 14652.75 \tabularnewline
Interquartile Difference (Closest Observation) & 14841 \tabularnewline
Interquartile Difference (True Basic - Statistics Graphics Toolkit) & 14652.75 \tabularnewline
Interquartile Difference (MS Excel (old versions)) & 15234 \tabularnewline
Semi Interquartile Difference (Weighted Average at Xnp) & 7420.5 \tabularnewline
Semi Interquartile Difference (Weighted Average at X(n+1)p) & 7520.125 \tabularnewline
Semi Interquartile Difference (Empirical Distribution Function) & 7420.5 \tabularnewline
Semi Interquartile Difference (Empirical Distribution Function - Averaging) & 7423.25 \tabularnewline
Semi Interquartile Difference (Empirical Distribution Function - Interpolation) & 7326.375 \tabularnewline
Semi Interquartile Difference (Closest Observation) & 7420.5 \tabularnewline
Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit) & 7326.375 \tabularnewline
Semi Interquartile Difference (MS Excel (old versions)) & 7617 \tabularnewline
Coefficient of Quartile Variation (Weighted Average at Xnp) & 0.173849379736901 \tabularnewline
Coefficient of Quartile Variation (Weighted Average at X(n+1)p) & 0.175381673269607 \tabularnewline
Coefficient of Quartile Variation (Empirical Distribution Function) & 0.173849379736901 \tabularnewline
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging) & 0.173127940807771 \tabularnewline
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation) & 0.170874063794616 \tabularnewline
Coefficient of Quartile Variation (Closest Observation) & 0.173849379736901 \tabularnewline
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit) & 0.170874063794616 \tabularnewline
Coefficient of Quartile Variation (MS Excel (old versions)) & 0.17763526119403 \tabularnewline
Number of all Pairs of Observations & 3486 \tabularnewline
Squared Differences between all Pairs of Observations & 218604042.281985 \tabularnewline
Mean Absolute Differences between all Pairs of Observations & 11978.7013769363 \tabularnewline
Gini Mean Difference & 11978.7013769363 \tabularnewline
Leik Measure of Dispersion & 0.502292178312244 \tabularnewline
Index of Diversity & 0.987397198455004 \tabularnewline
Index of Qualitative Variation & 0.999293550243618 \tabularnewline
Coefficient of Dispersion & 0.206246262087318 \tabularnewline
Observations & 84 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148677&T=1

[TABLE]
[ROW][C]Variability - Ungrouped Data[/C][/ROW]
[ROW][C]Absolute range[/C][C]44568[/C][/ROW]
[ROW][C]Relative range (unbiased)[/C][C]4.26293832160581[/C][/ROW]
[ROW][C]Relative range (biased)[/C][C]4.2885417849721[/C][/ROW]
[ROW][C]Variance (unbiased)[/C][C]109302021.140993[/C][/ROW]
[ROW][C]Variance (biased)[/C][C]108000806.6036[/C][/ROW]
[ROW][C]Standard Deviation (unbiased)[/C][C]10454.7606926698[/C][/ROW]
[ROW][C]Standard Deviation (biased)[/C][C]10392.3436530746[/C][/ROW]
[ROW][C]Coefficient of Variation (unbiased)[/C][C]0.243601682128966[/C][/ROW]
[ROW][C]Coefficient of Variation (biased)[/C][C]0.242147330730033[/C][/ROW]
[ROW][C]Mean Squared Error (MSE versus 0)[/C][C]1949907503.63095[/C][/ROW]
[ROW][C]Mean Squared Error (MSE versus Mean)[/C][C]108000806.6036[/C][/ROW]
[ROW][C]Mean Absolute Deviation from Mean (MAD Mean)[/C][C]8769.17857142857[/C][/ROW]
[ROW][C]Mean Absolute Deviation from Median (MAD Median)[/C][C]8769.17857142857[/C][/ROW]
[ROW][C]Median Absolute Deviation from Mean[/C][C]7426[/C][/ROW]
[ROW][C]Median Absolute Deviation from Median[/C][C]7290[/C][/ROW]
[ROW][C]Mean Squared Deviation from Mean[/C][C]108000806.6036[/C][/ROW]
[ROW][C]Mean Squared Deviation from Median[/C][C]108160359.297619[/C][/ROW]
[ROW][C]Interquartile Difference (Weighted Average at Xnp)[/C][C]14841[/C][/ROW]
[ROW][C]Interquartile Difference (Weighted Average at X(n+1)p)[/C][C]15040.25[/C][/ROW]
[ROW][C]Interquartile Difference (Empirical Distribution Function)[/C][C]14841[/C][/ROW]
[ROW][C]Interquartile Difference (Empirical Distribution Function - Averaging)[/C][C]14846.5[/C][/ROW]
[ROW][C]Interquartile Difference (Empirical Distribution Function - Interpolation)[/C][C]14652.75[/C][/ROW]
[ROW][C]Interquartile Difference (Closest Observation)[/C][C]14841[/C][/ROW]
[ROW][C]Interquartile Difference (True Basic - Statistics Graphics Toolkit)[/C][C]14652.75[/C][/ROW]
[ROW][C]Interquartile Difference (MS Excel (old versions))[/C][C]15234[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Weighted Average at Xnp)[/C][C]7420.5[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Weighted Average at X(n+1)p)[/C][C]7520.125[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Empirical Distribution Function)[/C][C]7420.5[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Empirical Distribution Function - Averaging)[/C][C]7423.25[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Empirical Distribution Function - Interpolation)[/C][C]7326.375[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Closest Observation)[/C][C]7420.5[/C][/ROW]
[ROW][C]Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit)[/C][C]7326.375[/C][/ROW]
[ROW][C]Semi Interquartile Difference (MS Excel (old versions))[/C][C]7617[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Weighted Average at Xnp)[/C][C]0.173849379736901[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Weighted Average at X(n+1)p)[/C][C]0.175381673269607[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Empirical Distribution Function)[/C][C]0.173849379736901[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)[/C][C]0.173127940807771[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)[/C][C]0.170874063794616[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Closest Observation)[/C][C]0.173849379736901[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)[/C][C]0.170874063794616[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (MS Excel (old versions))[/C][C]0.17763526119403[/C][/ROW]
[ROW][C]Number of all Pairs of Observations[/C][C]3486[/C][/ROW]
[ROW][C]Squared Differences between all Pairs of Observations[/C][C]218604042.281985[/C][/ROW]
[ROW][C]Mean Absolute Differences between all Pairs of Observations[/C][C]11978.7013769363[/C][/ROW]
[ROW][C]Gini Mean Difference[/C][C]11978.7013769363[/C][/ROW]
[ROW][C]Leik Measure of Dispersion[/C][C]0.502292178312244[/C][/ROW]
[ROW][C]Index of Diversity[/C][C]0.987397198455004[/C][/ROW]
[ROW][C]Index of Qualitative Variation[/C][C]0.999293550243618[/C][/ROW]
[ROW][C]Coefficient of Dispersion[/C][C]0.206246262087318[/C][/ROW]
[ROW][C]Observations[/C][C]84[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148677&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148677&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 range44568
Relative range (unbiased)4.26293832160581
Relative range (biased)4.2885417849721
Variance (unbiased)109302021.140993
Variance (biased)108000806.6036
Standard Deviation (unbiased)10454.7606926698
Standard Deviation (biased)10392.3436530746
Coefficient of Variation (unbiased)0.243601682128966
Coefficient of Variation (biased)0.242147330730033
Mean Squared Error (MSE versus 0)1949907503.63095
Mean Squared Error (MSE versus Mean)108000806.6036
Mean Absolute Deviation from Mean (MAD Mean)8769.17857142857
Mean Absolute Deviation from Median (MAD Median)8769.17857142857
Median Absolute Deviation from Mean7426
Median Absolute Deviation from Median7290
Mean Squared Deviation from Mean108000806.6036
Mean Squared Deviation from Median108160359.297619
Interquartile Difference (Weighted Average at Xnp)14841
Interquartile Difference (Weighted Average at X(n+1)p)15040.25
Interquartile Difference (Empirical Distribution Function)14841
Interquartile Difference (Empirical Distribution Function - Averaging)14846.5
Interquartile Difference (Empirical Distribution Function - Interpolation)14652.75
Interquartile Difference (Closest Observation)14841
Interquartile Difference (True Basic - Statistics Graphics Toolkit)14652.75
Interquartile Difference (MS Excel (old versions))15234
Semi Interquartile Difference (Weighted Average at Xnp)7420.5
Semi Interquartile Difference (Weighted Average at X(n+1)p)7520.125
Semi Interquartile Difference (Empirical Distribution Function)7420.5
Semi Interquartile Difference (Empirical Distribution Function - Averaging)7423.25
Semi Interquartile Difference (Empirical Distribution Function - Interpolation)7326.375
Semi Interquartile Difference (Closest Observation)7420.5
Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit)7326.375
Semi Interquartile Difference (MS Excel (old versions))7617
Coefficient of Quartile Variation (Weighted Average at Xnp)0.173849379736901
Coefficient of Quartile Variation (Weighted Average at X(n+1)p)0.175381673269607
Coefficient of Quartile Variation (Empirical Distribution Function)0.173849379736901
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)0.173127940807771
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)0.170874063794616
Coefficient of Quartile Variation (Closest Observation)0.173849379736901
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)0.170874063794616
Coefficient of Quartile Variation (MS Excel (old versions))0.17763526119403
Number of all Pairs of Observations3486
Squared Differences between all Pairs of Observations218604042.281985
Mean Absolute Differences between all Pairs of Observations11978.7013769363
Gini Mean Difference11978.7013769363
Leik Measure of Dispersion0.502292178312244
Index of Diversity0.987397198455004
Index of Qualitative Variation0.999293550243618
Coefficient of Dispersion0.206246262087318
Observations84



Parameters (Session):
Parameters (R input):
R code (references can be found in the software module):
num <- 50
res <- array(NA,dim=c(num,3))
q1 <- function(data,n,p,i,f) {
np <- n*p;
i <<- floor(np)
f <<- np - i
qvalue <- (1-f)*data[i] + f*data[i+1]
}
q2 <- function(data,n,p,i,f) {
np <- (n+1)*p
i <<- floor(np)
f <<- np - i
qvalue <- (1-f)*data[i] + f*data[i+1]
}
q3 <- function(data,n,p,i,f) {
np <- n*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- data[i]
} else {
qvalue <- data[i+1]
}
}
q4 <- function(data,n,p,i,f) {
np <- n*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- (data[i]+data[i+1])/2
} else {
qvalue <- data[i+1]
}
}
q5 <- function(data,n,p,i,f) {
np <- (n-1)*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- data[i+1]
} else {
qvalue <- data[i+1] + f*(data[i+2]-data[i+1])
}
}
q6 <- function(data,n,p,i,f) {
np <- n*p+0.5
i <<- floor(np)
f <<- np - i
qvalue <- data[i]
}
q7 <- function(data,n,p,i,f) {
np <- (n+1)*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- data[i]
} else {
qvalue <- f*data[i] + (1-f)*data[i+1]
}
}
q8 <- function(data,n,p,i,f) {
np <- (n+1)*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- data[i]
} else {
if (f == 0.5) {
qvalue <- (data[i]+data[i+1])/2
} else {
if (f < 0.5) {
qvalue <- data[i]
} else {
qvalue <- data[i+1]
}
}
}
}
iqd <- function(x,def) {
x <-sort(x[!is.na(x)])
n<-length(x)
if (def==1) {
qvalue1 <- q1(x,n,0.25,i,f)
qvalue3 <- q1(x,n,0.75,i,f)
}
if (def==2) {
qvalue1 <- q2(x,n,0.25,i,f)
qvalue3 <- q2(x,n,0.75,i,f)
}
if (def==3) {
qvalue1 <- q3(x,n,0.25,i,f)
qvalue3 <- q3(x,n,0.75,i,f)
}
if (def==4) {
qvalue1 <- q4(x,n,0.25,i,f)
qvalue3 <- q4(x,n,0.75,i,f)
}
if (def==5) {
qvalue1 <- q5(x,n,0.25,i,f)
qvalue3 <- q5(x,n,0.75,i,f)
}
if (def==6) {
qvalue1 <- q6(x,n,0.25,i,f)
qvalue3 <- q6(x,n,0.75,i,f)
}
if (def==7) {
qvalue1 <- q7(x,n,0.25,i,f)
qvalue3 <- q7(x,n,0.75,i,f)
}
if (def==8) {
qvalue1 <- q8(x,n,0.25,i,f)
qvalue3 <- q8(x,n,0.75,i,f)
}
iqdiff <- qvalue3 - qvalue1
return(c(iqdiff,iqdiff/2,iqdiff/(qvalue3 + qvalue1)))
}
range <- max(x) - min(x)
lx <- length(x)
biasf <- (lx-1)/lx
varx <- var(x)
bvarx <- varx*biasf
sdx <- sqrt(varx)
mx <- mean(x)
bsdx <- sqrt(bvarx)
x2 <- x*x
mse0 <- sum(x2)/lx
xmm <- x-mx
xmm2 <- xmm*xmm
msem <- sum(xmm2)/lx
axmm <- abs(x - mx)
medx <- median(x)
axmmed <- abs(x - medx)
xmmed <- x - medx
xmmed2 <- xmmed*xmmed
msemed <- sum(xmmed2)/lx
qarr <- array(NA,dim=c(8,3))
for (j in 1:8) {
qarr[j,] <- iqd(x,j)
}
sdpo <- 0
adpo <- 0
for (i in 1:(lx-1)) {
for (j in (i+1):lx) {
ldi <- x[i]-x[j]
aldi <- abs(ldi)
sdpo = sdpo + ldi * ldi
adpo = adpo + aldi
}
}
denom <- (lx*(lx-1)/2)
sdpo = sdpo / denom
adpo = adpo / denom
gmd <- 0
for (i in 1:lx) {
for (j in 1:lx) {
ldi <- abs(x[i]-x[j])
gmd = gmd + ldi
}
}
gmd <- gmd / (lx*(lx-1))
sumx <- sum(x)
pk <- x / sumx
ck <- cumsum(pk)
dk <- array(NA,dim=lx)
for (i in 1:lx) {
if (ck[i] <= 0.5) dk[i] <- ck[i] else dk[i] <- 1 - ck[i]
}
bigd <- sum(dk) * 2 / (lx-1)
iod <- 1 - sum(pk*pk)
res[1,] <- c('Absolute range','absolute.htm', range)
res[2,] <- c('Relative range (unbiased)','relative.htm', range/sd(x))
res[3,] <- c('Relative range (biased)','relative.htm', range/sqrt(varx*biasf))
res[4,] <- c('Variance (unbiased)','unbiased.htm', varx)
res[5,] <- c('Variance (biased)','biased.htm', bvarx)
res[6,] <- c('Standard Deviation (unbiased)','unbiased1.htm', sdx)
res[7,] <- c('Standard Deviation (biased)','biased1.htm', bsdx)
res[8,] <- c('Coefficient of Variation (unbiased)','variation.htm', sdx/mx)
res[9,] <- c('Coefficient of Variation (biased)','variation.htm', bsdx/mx)
res[10,] <- c('Mean Squared Error (MSE versus 0)','mse.htm', mse0)
res[11,] <- c('Mean Squared Error (MSE versus Mean)','mse.htm', msem)
res[12,] <- c('Mean Absolute Deviation from Mean (MAD Mean)', 'mean2.htm', sum(axmm)/lx)
res[13,] <- c('Mean Absolute Deviation from Median (MAD Median)', 'median1.htm', sum(axmmed)/lx)
res[14,] <- c('Median Absolute Deviation from Mean', 'mean3.htm', median(axmm))
res[15,] <- c('Median Absolute Deviation from Median', 'median2.htm', median(axmmed))
res[16,] <- c('Mean Squared Deviation from Mean', 'mean1.htm', msem)
res[17,] <- c('Mean Squared Deviation from Median', 'median.htm', msemed)
load(file='createtable')
mylink1 <- hyperlink('difference.htm','Interquartile Difference','')
mylink2 <- paste(mylink1,hyperlink('method_1.htm','(Weighted Average at Xnp)',''),sep=' ')
res[18,] <- c('', mylink2, qarr[1,1])
mylink2 <- paste(mylink1,hyperlink('method_2.htm','(Weighted Average at X(n+1)p)',''),sep=' ')
res[19,] <- c('', mylink2, qarr[2,1])
mylink2 <- paste(mylink1,hyperlink('method_3.htm','(Empirical Distribution Function)',''),sep=' ')
res[20,] <- c('', mylink2, qarr[3,1])
mylink2 <- paste(mylink1,hyperlink('method_4.htm','(Empirical Distribution Function - Averaging)',''),sep=' ')
res[21,] <- c('', mylink2, qarr[4,1])
mylink2 <- paste(mylink1,hyperlink('method_5.htm','(Empirical Distribution Function - Interpolation)',''),sep=' ')
res[22,] <- c('', mylink2, qarr[5,1])
mylink2 <- paste(mylink1,hyperlink('method_6.htm','(Closest Observation)',''),sep=' ')
res[23,] <- c('', mylink2, qarr[6,1])
mylink2 <- paste(mylink1,hyperlink('method_7.htm','(True Basic - Statistics Graphics Toolkit)',''),sep=' ')
res[24,] <- c('', mylink2, qarr[7,1])
mylink2 <- paste(mylink1,hyperlink('method_8.htm','(MS Excel (old versions))',''),sep=' ')
res[25,] <- c('', mylink2, qarr[8,1])
mylink1 <- hyperlink('deviation.htm','Semi Interquartile Difference','')
mylink2 <- paste(mylink1,hyperlink('method_1.htm','(Weighted Average at Xnp)',''),sep=' ')
res[26,] <- c('', mylink2, qarr[1,2])
mylink2 <- paste(mylink1,hyperlink('method_2.htm','(Weighted Average at X(n+1)p)',''),sep=' ')
res[27,] <- c('', mylink2, qarr[2,2])
mylink2 <- paste(mylink1,hyperlink('method_3.htm','(Empirical Distribution Function)',''),sep=' ')
res[28,] <- c('', mylink2, qarr[3,2])
mylink2 <- paste(mylink1,hyperlink('method_4.htm','(Empirical Distribution Function - Averaging)',''),sep=' ')
res[29,] <- c('', mylink2, qarr[4,2])
mylink2 <- paste(mylink1,hyperlink('method_5.htm','(Empirical Distribution Function - Interpolation)',''),sep=' ')
res[30,] <- c('', mylink2, qarr[5,2])
mylink2 <- paste(mylink1,hyperlink('method_6.htm','(Closest Observation)',''),sep=' ')
res[31,] <- c('', mylink2, qarr[6,2])
mylink2 <- paste(mylink1,hyperlink('method_7.htm','(True Basic - Statistics Graphics Toolkit)',''),sep=' ')
res[32,] <- c('', mylink2, qarr[7,2])
mylink2 <- paste(mylink1,hyperlink('method_8.htm','(MS Excel (old versions))',''),sep=' ')
res[33,] <- c('', mylink2, qarr[8,2])
mylink1 <- hyperlink('variation1.htm','Coefficient of Quartile Variation','')
mylink2 <- paste(mylink1,hyperlink('method_1.htm','(Weighted Average at Xnp)',''),sep=' ')
res[34,] <- c('', mylink2, qarr[1,3])
mylink2 <- paste(mylink1,hyperlink('method_2.htm','(Weighted Average at X(n+1)p)',''),sep=' ')
res[35,] <- c('', mylink2, qarr[2,3])
mylink2 <- paste(mylink1,hyperlink('method_3.htm','(Empirical Distribution Function)',''),sep=' ')
res[36,] <- c('', mylink2, qarr[3,3])
mylink2 <- paste(mylink1,hyperlink('method_4.htm','(Empirical Distribution Function - Averaging)',''),sep=' ')
res[37,] <- c('', mylink2, qarr[4,3])
mylink2 <- paste(mylink1,hyperlink('method_5.htm','(Empirical Distribution Function - Interpolation)',''),sep=' ')
res[38,] <- c('', mylink2, qarr[5,3])
mylink2 <- paste(mylink1,hyperlink('method_6.htm','(Closest Observation)',''),sep=' ')
res[39,] <- c('', mylink2, qarr[6,3])
mylink2 <- paste(mylink1,hyperlink('method_7.htm','(True Basic - Statistics Graphics Toolkit)',''),sep=' ')
res[40,] <- c('', mylink2, qarr[7,3])
mylink2 <- paste(mylink1,hyperlink('method_8.htm','(MS Excel (old versions))',''),sep=' ')
res[41,] <- c('', mylink2, qarr[8,3])
res[42,] <- c('Number of all Pairs of Observations', 'pair_numbers.htm', lx*(lx-1)/2)
res[43,] <- c('Squared Differences between all Pairs of Observations', 'squared_differences.htm', sdpo)
res[44,] <- c('Mean Absolute Differences between all Pairs of Observations', 'mean_abs_differences.htm', adpo)
res[45,] <- c('Gini Mean Difference', 'gini_mean_difference.htm', gmd)
res[46,] <- c('Leik Measure of Dispersion', 'leiks_d.htm', bigd)
res[47,] <- c('Index of Diversity', 'diversity.htm', iod)
res[48,] <- c('Index of Qualitative Variation', 'qualitative_variation.htm', iod*lx/(lx-1))
res[49,] <- c('Coefficient of Dispersion', 'dispersion.htm', sum(axmm)/lx/medx)
res[50,] <- c('Observations', '', lx)
res
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Variability - Ungrouped Data',2,TRUE)
a<-table.row.end(a)
for (i in 1:num) {
a<-table.row.start(a)
if (res[i,1] != '') {
a<-table.element(a,hyperlink(res[i,2],res[i,1],''),header=TRUE)
} else {
a<-table.element(a,res[i,2],header=TRUE)
}
a<-table.element(a,res[i,3])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')