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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_centraltendency.wasp
Title produced by softwareCentral Tendency
Date of computationFri, 22 Jan 2016 10:54:58 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Jan/22/t1453460183uz66p0x5s931grm.htm/, Retrieved Tue, 07 May 2024 19:37:32 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=291666, Retrieved Tue, 07 May 2024 19:37:32 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact53

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Central Tendency] [vraag 5 central t...] [2016-01-22 10:54:58] [5777355b7aed335e6347b7aed36a2c47] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
10.24
10.89
9
12.25
13.69
7.29
12.96
12.25
14.44
11.56
13.69
12.25
7.84
14.44
18.49
10.89
12.96
12.96
10.89
7.84

Tables (Output of Computation)





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=291666&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=291666&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=291666&T=0

As an alternative you can also use a QR Code:  
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






Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean11.8410.59597107842225819.8684138018026
Geometric Mean11.5492093262437
Harmonic Mean11.2480257094804
Quadratic Mean12.1226123422305
Winsorized Mean ( 1 / 6 )11.6660.49257240985196123.6838275280301
Winsorized Mean ( 2 / 6 )11.6660.49257240985196123.6838275280301
Winsorized Mean ( 3 / 6 )11.72750.39314914472754529.8296464771079
Winsorized Mean ( 4 / 6 )11.97550.31034231948472338.5880340776067
Winsorized Mean ( 5 / 6 )11.95550.21503423839986655.5981228336679
Winsorized Mean ( 6 / 6 )11.95550.21503423839986655.5981228336679
Trimmed Mean ( 1 / 6 )11.72444444444440.47761541548882624.547876940791
Trimmed Mean ( 2 / 6 )11.79750.4437299291235626.5871180321373
Trimmed Mean ( 3 / 6 )11.89142857142860.36680212520933532.4191921315671
Trimmed Mean ( 4 / 6 )11.98250.31130498784077638.4911918151749
Trimmed Mean ( 5 / 6 )11.9860.27568581150771443.4770289208904
Trimmed Mean ( 6 / 6 )12.001250.28934925448569741.476692315422
Median12.25
Midrange12.89
Midmean - Weighted Average at Xnp11.8272727272727
Midmean - Weighted Average at X(n+1)p11.986
Midmean - Empirical Distribution Function11.8272727272727
Midmean - Empirical Distribution Function - Averaging11.986
Midmean - Empirical Distribution Function - Interpolation11.986
Midmean - Closest Observation11.8272727272727
Midmean - True Basic - Statistics Graphics Toolkit11.986
Midmean - MS Excel (old versions)12.1138461538462
Number of observations20

\begin{tabular}{lllllllll}
\hline
Central Tendency - Ungrouped Data \tabularnewline
Measure & Value & S.E. & Value/S.E. \tabularnewline
Arithmetic Mean & 11.841 & 0.595971078422258 & 19.8684138018026 \tabularnewline
Geometric Mean & 11.5492093262437 &  &  \tabularnewline
Harmonic Mean & 11.2480257094804 &  &  \tabularnewline
Quadratic Mean & 12.1226123422305 &  &  \tabularnewline
Winsorized Mean ( 1 / 6 ) & 11.666 & 0.492572409851961 & 23.6838275280301 \tabularnewline
Winsorized Mean ( 2 / 6 ) & 11.666 & 0.492572409851961 & 23.6838275280301 \tabularnewline
Winsorized Mean ( 3 / 6 ) & 11.7275 & 0.393149144727545 & 29.8296464771079 \tabularnewline
Winsorized Mean ( 4 / 6 ) & 11.9755 & 0.310342319484723 & 38.5880340776067 \tabularnewline
Winsorized Mean ( 5 / 6 ) & 11.9555 & 0.215034238399866 & 55.5981228336679 \tabularnewline
Winsorized Mean ( 6 / 6 ) & 11.9555 & 0.215034238399866 & 55.5981228336679 \tabularnewline
Trimmed Mean ( 1 / 6 ) & 11.7244444444444 & 0.477615415488826 & 24.547876940791 \tabularnewline
Trimmed Mean ( 2 / 6 ) & 11.7975 & 0.44372992912356 & 26.5871180321373 \tabularnewline
Trimmed Mean ( 3 / 6 ) & 11.8914285714286 & 0.366802125209335 & 32.4191921315671 \tabularnewline
Trimmed Mean ( 4 / 6 ) & 11.9825 & 0.311304987840776 & 38.4911918151749 \tabularnewline
Trimmed Mean ( 5 / 6 ) & 11.986 & 0.275685811507714 & 43.4770289208904 \tabularnewline
Trimmed Mean ( 6 / 6 ) & 12.00125 & 0.289349254485697 & 41.476692315422 \tabularnewline
Median & 12.25 &  &  \tabularnewline
Midrange & 12.89 &  &  \tabularnewline
Midmean - Weighted Average at Xnp & 11.8272727272727 &  &  \tabularnewline
Midmean - Weighted Average at X(n+1)p & 11.986 &  &  \tabularnewline
Midmean - Empirical Distribution Function & 11.8272727272727 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Averaging & 11.986 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Interpolation & 11.986 &  &  \tabularnewline
Midmean - Closest Observation & 11.8272727272727 &  &  \tabularnewline
Midmean - True Basic - Statistics Graphics Toolkit & 11.986 &  &  \tabularnewline
Midmean - MS Excel (old versions) & 12.1138461538462 &  &  \tabularnewline
Number of observations & 20 &  &  \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=291666&T=1

[TABLE]
[ROW][C]Central Tendency - Ungrouped Data[/C][/ROW]
[ROW][C]Measure[/C][C]Value[/C][C]S.E.[/C][C]Value/S.E.[/C][/ROW]
[ROW][C]Arithmetic Mean[/C][C]11.841[/C][C]0.595971078422258[/C][C]19.8684138018026[/C][/ROW]
[ROW][C]Geometric Mean[/C][C]11.5492093262437[/C][C][/C][C][/C][/ROW]
[ROW][C]Harmonic Mean[/C][C]11.2480257094804[/C][C][/C][C][/C][/ROW]
[ROW][C]Quadratic Mean[/C][C]12.1226123422305[/C][C][/C][C][/C][/ROW]
[ROW][C]Winsorized Mean ( 1 / 6 )[/C][C]11.666[/C][C]0.492572409851961[/C][C]23.6838275280301[/C][/ROW]
[ROW][C]Winsorized Mean ( 2 / 6 )[/C][C]11.666[/C][C]0.492572409851961[/C][C]23.6838275280301[/C][/ROW]
[ROW][C]Winsorized Mean ( 3 / 6 )[/C][C]11.7275[/C][C]0.393149144727545[/C][C]29.8296464771079[/C][/ROW]
[ROW][C]Winsorized Mean ( 4 / 6 )[/C][C]11.9755[/C][C]0.310342319484723[/C][C]38.5880340776067[/C][/ROW]
[ROW][C]Winsorized Mean ( 5 / 6 )[/C][C]11.9555[/C][C]0.215034238399866[/C][C]55.5981228336679[/C][/ROW]
[ROW][C]Winsorized Mean ( 6 / 6 )[/C][C]11.9555[/C][C]0.215034238399866[/C][C]55.5981228336679[/C][/ROW]
[ROW][C]Trimmed Mean ( 1 / 6 )[/C][C]11.7244444444444[/C][C]0.477615415488826[/C][C]24.547876940791[/C][/ROW]
[ROW][C]Trimmed Mean ( 2 / 6 )[/C][C]11.7975[/C][C]0.44372992912356[/C][C]26.5871180321373[/C][/ROW]
[ROW][C]Trimmed Mean ( 3 / 6 )[/C][C]11.8914285714286[/C][C]0.366802125209335[/C][C]32.4191921315671[/C][/ROW]
[ROW][C]Trimmed Mean ( 4 / 6 )[/C][C]11.9825[/C][C]0.311304987840776[/C][C]38.4911918151749[/C][/ROW]
[ROW][C]Trimmed Mean ( 5 / 6 )[/C][C]11.986[/C][C]0.275685811507714[/C][C]43.4770289208904[/C][/ROW]
[ROW][C]Trimmed Mean ( 6 / 6 )[/C][C]12.00125[/C][C]0.289349254485697[/C][C]41.476692315422[/C][/ROW]
[ROW][C]Median[/C][C]12.25[/C][C][/C][C][/C][/ROW]
[ROW][C]Midrange[/C][C]12.89[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at Xnp[/C][C]11.8272727272727[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at X(n+1)p[/C][C]11.986[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function[/C][C]11.8272727272727[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Averaging[/C][C]11.986[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Interpolation[/C][C]11.986[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Closest Observation[/C][C]11.8272727272727[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - True Basic - Statistics Graphics Toolkit[/C][C]11.986[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - MS Excel (old versions)[/C][C]12.1138461538462[/C][C][/C][C][/C][/ROW]
[ROW][C]Number of observations[/C][C]20[/C][C][/C][C][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=291666&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=291666&T=1

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean11.8410.59597107842225819.8684138018026
Geometric Mean11.5492093262437
Harmonic Mean11.2480257094804
Quadratic Mean12.1226123422305
Winsorized Mean ( 1 / 6 )11.6660.49257240985196123.6838275280301
Winsorized Mean ( 2 / 6 )11.6660.49257240985196123.6838275280301
Winsorized Mean ( 3 / 6 )11.72750.39314914472754529.8296464771079
Winsorized Mean ( 4 / 6 )11.97550.31034231948472338.5880340776067
Winsorized Mean ( 5 / 6 )11.95550.21503423839986655.5981228336679
Winsorized Mean ( 6 / 6 )11.95550.21503423839986655.5981228336679
Trimmed Mean ( 1 / 6 )11.72444444444440.47761541548882624.547876940791
Trimmed Mean ( 2 / 6 )11.79750.4437299291235626.5871180321373
Trimmed Mean ( 3 / 6 )11.89142857142860.36680212520933532.4191921315671
Trimmed Mean ( 4 / 6 )11.98250.31130498784077638.4911918151749
Trimmed Mean ( 5 / 6 )11.9860.27568581150771443.4770289208904
Trimmed Mean ( 6 / 6 )12.001250.28934925448569741.476692315422
Median12.25
Midrange12.89
Midmean - Weighted Average at Xnp11.8272727272727
Midmean - Weighted Average at X(n+1)p11.986
Midmean - Empirical Distribution Function11.8272727272727
Midmean - Empirical Distribution Function - Averaging11.986
Midmean - Empirical Distribution Function - Interpolation11.986
Midmean - Closest Observation11.8272727272727
Midmean - True Basic - Statistics Graphics Toolkit11.986
Midmean - MS Excel (old versions)12.1138461538462
Number of observations20


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 12 ; par2 = Triple ; par3 = additive ;
Parameters (R input):
R code (references can be found in the software module):
geomean <- function(x) {
return(exp(mean(log(x))))
}
harmean <- function(x) {
return(1/mean(1/x))
}
quamean <- function(x) {
return(sqrt(mean(x*x)))
}
winmean <- function(x) {
x <-sort(x[!is.na(x)])
n<-length(x)
denom <- 3
nodenom <- n/denom
if (nodenom>40) denom <- n/40
sqrtn = sqrt(n)
roundnodenom = floor(nodenom)
win <- array(NA,dim=c(roundnodenom,2))
for (j in 1:roundnodenom) {
win[j,1] <- (j*x[j+1]+sum(x[(j+1):(n-j)])+j*x[n-j])/n
win[j,2] <- sd(c(rep(x[j+1],j),x[(j+1):(n-j)],rep(x[n-j],j)))/sqrtn
}
return(win)
}
trimean <- function(x) {
x <-sort(x[!is.na(x)])
n<-length(x)
denom <- 3
nodenom <- n/denom
if (nodenom>40) denom <- n/40
sqrtn = sqrt(n)
roundnodenom = floor(nodenom)
tri <- array(NA,dim=c(roundnodenom,2))
for (j in 1:roundnodenom) {
tri[j,1] <- mean(x,trim=j/n)
tri[j,2] <- sd(x[(j+1):(n-j)]) / sqrt(n-j*2)
}
return(tri)
}
midrange <- function(x) {
return((max(x)+min(x))/2)
}
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]
}
}
}
}
midmean <- 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)
}
midm <- 0
myn <- 0
roundno4 <- round(n/4)
round3no4 <- round(3*n/4)
for (i in 1:n) {
if ((x[i]>=qvalue1) & (x[i]<=qvalue3)){
midm = midm + x[i]
myn = myn + 1
}
}
midm = midm / myn
return(midm)
}
(arm <- mean(x))
sqrtn <- sqrt(length(x))
(armse <- sd(x) / sqrtn)
(armose <- arm / armse)
(geo <- geomean(x))
(har <- harmean(x))
(qua <- quamean(x))
(win <- winmean(x))
(tri <- trimean(x))
(midr <- midrange(x))
midm <- array(NA,dim=8)
for (j in 1:8) midm[j] <- midmean(x,j)
midm
bitmap(file='test1.png')
lb <- win[,1] - 2*win[,2]
ub <- win[,1] + 2*win[,2]
if ((ylimmin == '') | (ylimmax == '')) plot(win[,1],type='b',main=main, xlab='j', pch=19, ylab='Winsorized Mean(j/n)', ylim=c(min(lb),max(ub))) else plot(win[,1],type='l',main=main, xlab='j', pch=19, ylab='Winsorized Mean(j/n)', ylim=c(ylimmin,ylimmax))
lines(ub,lty=3)
lines(lb,lty=3)
grid()
dev.off()
bitmap(file='test2.png')
lb <- tri[,1] - 2*tri[,2]
ub <- tri[,1] + 2*tri[,2]
if ((ylimmin == '') | (ylimmax == '')) plot(tri[,1],type='b',main=main, xlab='j', pch=19, ylab='Trimmed Mean(j/n)', ylim=c(min(lb),max(ub))) else plot(tri[,1],type='l',main=main, xlab='j', pch=19, ylab='Trimmed Mean(j/n)', ylim=c(ylimmin,ylimmax))
lines(ub,lty=3)
lines(lb,lty=3)
grid()
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Central Tendency - Ungrouped Data',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Measure',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.element(a,'S.E.',header=TRUE)
a<-table.element(a,'Value/S.E.',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('arithmetic_mean.htm', 'Arithmetic Mean', 'click to view the definition of the Arithmetic Mean'),header=TRUE)
a<-table.element(a,arm)
a<-table.element(a,hyperlink('arithmetic_mean_standard_error.htm', armse, 'click to view the definition of the Standard Error of the Arithmetic Mean'))
a<-table.element(a,armose)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('geometric_mean.htm', 'Geometric Mean', 'click to view the definition of the Geometric Mean'),header=TRUE)
a<-table.element(a,geo)
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('harmonic_mean.htm', 'Harmonic Mean', 'click to view the definition of the Harmonic Mean'),header=TRUE)
a<-table.element(a,har)
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('quadratic_mean.htm', 'Quadratic Mean', 'click to view the definition of the Quadratic Mean'),header=TRUE)
a<-table.element(a,qua)
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
for (j in 1:length(win[,1])) {
a<-table.row.start(a)
mylabel <- paste('Winsorized Mean (',j)
mylabel <- paste(mylabel,'/')
mylabel <- paste(mylabel,length(win[,1]))
mylabel <- paste(mylabel,')')
a<-table.element(a,hyperlink('winsorized_mean.htm', mylabel, 'click to view the definition of the Winsorized Mean'),header=TRUE)
a<-table.element(a,win[j,1])
a<-table.element(a,win[j,2])
a<-table.element(a,win[j,1]/win[j,2])
a<-table.row.end(a)
}
for (j in 1:length(tri[,1])) {
a<-table.row.start(a)
mylabel <- paste('Trimmed Mean (',j)
mylabel <- paste(mylabel,'/')
mylabel <- paste(mylabel,length(tri[,1]))
mylabel <- paste(mylabel,')')
a<-table.element(a,hyperlink('arithmetic_mean.htm', mylabel, 'click to view the definition of the Trimmed Mean'),header=TRUE)
a<-table.element(a,tri[j,1])
a<-table.element(a,tri[j,2])
a<-table.element(a,tri[j,1]/tri[j,2])
a<-table.row.end(a)
}
a<-table.row.start(a)
a<-table.element(a,hyperlink('median_1.htm', 'Median', 'click to view the definition of the Median'),header=TRUE)
a<-table.element(a,median(x))
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('midrange.htm', 'Midrange', 'click to view the definition of the Midrange'),header=TRUE)
a<-table.element(a,midr)
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
mymid <- hyperlink('midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('method_1.htm','Weighted Average at Xnp',''),sep=' - ')
a<-table.element(a,mylabel,header=TRUE)
a<-table.element(a,midm[1])
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
mymid <- hyperlink('midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('method_2.htm','Weighted Average at X(n+1)p',''),sep=' - ')
a<-table.element(a,mylabel,header=TRUE)
a<-table.element(a,midm[2])
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
mymid <- hyperlink('midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('method_3.htm','Empirical Distribution Function',''),sep=' - ')
a<-table.element(a,mylabel,header=TRUE)
a<-table.element(a,midm[3])
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
mymid <- hyperlink('midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('method_4.htm','Empirical Distribution Function - Averaging',''),sep=' - ')
a<-table.element(a,mylabel,header=TRUE)
a<-table.element(a,midm[4])
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
mymid <- hyperlink('midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('method_5.htm','Empirical Distribution Function - Interpolation',''),sep=' - ')
a<-table.element(a,mylabel,header=TRUE)
a<-table.element(a,midm[5])
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
mymid <- hyperlink('midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('method_6.htm','Closest Observation',''),sep=' - ')
a<-table.element(a,mylabel,header=TRUE)
a<-table.element(a,midm[6])
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
mymid <- hyperlink('midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('method_7.htm','True Basic - Statistics Graphics Toolkit',''),sep=' - ')
a<-table.element(a,mylabel,header=TRUE)
a<-table.element(a,midm[7])
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
mymid <- hyperlink('midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('method_8.htm','MS Excel (old versions)',''),sep=' - ')
a<-table.element(a,mylabel,header=TRUE)
a<-table.element(a,midm[8])
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Number of observations',header=TRUE)
a<-table.element(a,length(x))
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')