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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_centraltendency.wasp
Title produced by softwareCentral Tendency
Date of computationTue, 08 Dec 2015 13:44:29 +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/2015/Dec/08/t144958238549cedtinaaq20ea.htm/, Retrieved Thu, 31 Oct 2024 23:34:19 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=285491, Retrieved Thu, 31 Oct 2024 23:34:19 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact103
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Central Tendency] [Central Tendency] [2015-12-08 13:44:29] [3cb585a5750a2ea771a9eee1c0d868ca] [Current]
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Dataseries X:
79556206
44472765
30389350
25442452
20648314
17866696
17100466
19239233
23548387
24034737
24378961
22712734
24116224
22096786
23929057
22676549
21922504
21336257
21313998




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285491&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=285491&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285491&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'Gertrude Mary Cox' @ cox.wessa.net







Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean26672719.78947373225424.097332328.26952331990516
Geometric Mean24747431.6576346
Harmonic Mean23653850.7823242
Quadratic Mean29978233.3019395
Winsorized Mean ( 1 / 6 )24866550.78947371711726.970043214.5271712280411
Winsorized Mean ( 2 / 6 )23528563.6315789812155.45629203228.9705172196967
Winsorized Mean ( 3 / 6 )22969960.9473684415783.18621977455.2450452751762
Winsorized Mean ( 4 / 6 )22886212.1052632305347.86520818974.9512759477102
Winsorized Mean ( 5 / 6 )22822928.4210526285552.40158873779.9255348372907
Winsorized Mean ( 6 / 6 )22982326.3157895228026.277379943100.788060831672
Trimmed Mean ( 1 / 6 )24125000.23529411433980.0865090616.823804223129
Trimmed Mean ( 2 / 6 )23185702.8666667665049.9503305234.8630999147413
Trimmed Mean ( 3 / 6 )22935150.7692308397088.38247360257.7583021350554
Trimmed Mean ( 4 / 6 )22915108.5454545344797.07017715866.4596962314114
Trimmed Mean ( 5 / 6 )22930359.4444444340930.91226608767.2580825599878
Trimmed Mean ( 6 / 6 )22988679.1428571323580.93863127471.0446024419662
Median22712734
Midrange48328336
Midmean - Weighted Average at Xnp22768723.3
Midmean - Weighted Average at X(n+1)p22915108.5454545
Midmean - Empirical Distribution Function22915108.5454545
Midmean - Empirical Distribution Function - Averaging22915108.5454545
Midmean - Empirical Distribution Function - Interpolation22930359.4444444
Midmean - Closest Observation22768723.3
Midmean - True Basic - Statistics Graphics Toolkit22915108.5454545
Midmean - MS Excel (old versions)22915108.5454545
Number of observations19

\begin{tabular}{lllllllll}
\hline
Central Tendency - Ungrouped Data \tabularnewline
Measure & Value & S.E. & Value/S.E. \tabularnewline
Arithmetic Mean & 26672719.7894737 & 3225424.09733232 & 8.26952331990516 \tabularnewline
Geometric Mean & 24747431.6576346 &  &  \tabularnewline
Harmonic Mean & 23653850.7823242 &  &  \tabularnewline
Quadratic Mean & 29978233.3019395 &  &  \tabularnewline
Winsorized Mean ( 1 / 6 ) & 24866550.7894737 & 1711726.9700432 & 14.5271712280411 \tabularnewline
Winsorized Mean ( 2 / 6 ) & 23528563.6315789 & 812155.456292032 & 28.9705172196967 \tabularnewline
Winsorized Mean ( 3 / 6 ) & 22969960.9473684 & 415783.186219774 & 55.2450452751762 \tabularnewline
Winsorized Mean ( 4 / 6 ) & 22886212.1052632 & 305347.865208189 & 74.9512759477102 \tabularnewline
Winsorized Mean ( 5 / 6 ) & 22822928.4210526 & 285552.401588737 & 79.9255348372907 \tabularnewline
Winsorized Mean ( 6 / 6 ) & 22982326.3157895 & 228026.277379943 & 100.788060831672 \tabularnewline
Trimmed Mean ( 1 / 6 ) & 24125000.2352941 & 1433980.08650906 & 16.823804223129 \tabularnewline
Trimmed Mean ( 2 / 6 ) & 23185702.8666667 & 665049.95033052 & 34.8630999147413 \tabularnewline
Trimmed Mean ( 3 / 6 ) & 22935150.7692308 & 397088.382473602 & 57.7583021350554 \tabularnewline
Trimmed Mean ( 4 / 6 ) & 22915108.5454545 & 344797.070177158 & 66.4596962314114 \tabularnewline
Trimmed Mean ( 5 / 6 ) & 22930359.4444444 & 340930.912266087 & 67.2580825599878 \tabularnewline
Trimmed Mean ( 6 / 6 ) & 22988679.1428571 & 323580.938631274 & 71.0446024419662 \tabularnewline
Median & 22712734 &  &  \tabularnewline
Midrange & 48328336 &  &  \tabularnewline
Midmean - Weighted Average at Xnp & 22768723.3 &  &  \tabularnewline
Midmean - Weighted Average at X(n+1)p & 22915108.5454545 &  &  \tabularnewline
Midmean - Empirical Distribution Function & 22915108.5454545 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Averaging & 22915108.5454545 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Interpolation & 22930359.4444444 &  &  \tabularnewline
Midmean - Closest Observation & 22768723.3 &  &  \tabularnewline
Midmean - True Basic - Statistics Graphics Toolkit & 22915108.5454545 &  &  \tabularnewline
Midmean - MS Excel (old versions) & 22915108.5454545 &  &  \tabularnewline
Number of observations & 19 &  &  \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285491&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]26672719.7894737[/C][C]3225424.09733232[/C][C]8.26952331990516[/C][/ROW]
[ROW][C]Geometric Mean[/C][C]24747431.6576346[/C][C][/C][C][/C][/ROW]
[ROW][C]Harmonic Mean[/C][C]23653850.7823242[/C][C][/C][C][/C][/ROW]
[ROW][C]Quadratic Mean[/C][C]29978233.3019395[/C][C][/C][C][/C][/ROW]
[ROW][C]Winsorized Mean ( 1 / 6 )[/C][C]24866550.7894737[/C][C]1711726.9700432[/C][C]14.5271712280411[/C][/ROW]
[ROW][C]Winsorized Mean ( 2 / 6 )[/C][C]23528563.6315789[/C][C]812155.456292032[/C][C]28.9705172196967[/C][/ROW]
[ROW][C]Winsorized Mean ( 3 / 6 )[/C][C]22969960.9473684[/C][C]415783.186219774[/C][C]55.2450452751762[/C][/ROW]
[ROW][C]Winsorized Mean ( 4 / 6 )[/C][C]22886212.1052632[/C][C]305347.865208189[/C][C]74.9512759477102[/C][/ROW]
[ROW][C]Winsorized Mean ( 5 / 6 )[/C][C]22822928.4210526[/C][C]285552.401588737[/C][C]79.9255348372907[/C][/ROW]
[ROW][C]Winsorized Mean ( 6 / 6 )[/C][C]22982326.3157895[/C][C]228026.277379943[/C][C]100.788060831672[/C][/ROW]
[ROW][C]Trimmed Mean ( 1 / 6 )[/C][C]24125000.2352941[/C][C]1433980.08650906[/C][C]16.823804223129[/C][/ROW]
[ROW][C]Trimmed Mean ( 2 / 6 )[/C][C]23185702.8666667[/C][C]665049.95033052[/C][C]34.8630999147413[/C][/ROW]
[ROW][C]Trimmed Mean ( 3 / 6 )[/C][C]22935150.7692308[/C][C]397088.382473602[/C][C]57.7583021350554[/C][/ROW]
[ROW][C]Trimmed Mean ( 4 / 6 )[/C][C]22915108.5454545[/C][C]344797.070177158[/C][C]66.4596962314114[/C][/ROW]
[ROW][C]Trimmed Mean ( 5 / 6 )[/C][C]22930359.4444444[/C][C]340930.912266087[/C][C]67.2580825599878[/C][/ROW]
[ROW][C]Trimmed Mean ( 6 / 6 )[/C][C]22988679.1428571[/C][C]323580.938631274[/C][C]71.0446024419662[/C][/ROW]
[ROW][C]Median[/C][C]22712734[/C][C][/C][C][/C][/ROW]
[ROW][C]Midrange[/C][C]48328336[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at Xnp[/C][C]22768723.3[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at X(n+1)p[/C][C]22915108.5454545[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function[/C][C]22915108.5454545[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Averaging[/C][C]22915108.5454545[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Interpolation[/C][C]22930359.4444444[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Closest Observation[/C][C]22768723.3[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - True Basic - Statistics Graphics Toolkit[/C][C]22915108.5454545[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - MS Excel (old versions)[/C][C]22915108.5454545[/C][C][/C][C][/C][/ROW]
[ROW][C]Number of observations[/C][C]19[/C][C][/C][C][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=285491&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285491&T=1

As an alternative you can also use a QR Code:  

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

Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean26672719.78947373225424.097332328.26952331990516
Geometric Mean24747431.6576346
Harmonic Mean23653850.7823242
Quadratic Mean29978233.3019395
Winsorized Mean ( 1 / 6 )24866550.78947371711726.970043214.5271712280411
Winsorized Mean ( 2 / 6 )23528563.6315789812155.45629203228.9705172196967
Winsorized Mean ( 3 / 6 )22969960.9473684415783.18621977455.2450452751762
Winsorized Mean ( 4 / 6 )22886212.1052632305347.86520818974.9512759477102
Winsorized Mean ( 5 / 6 )22822928.4210526285552.40158873779.9255348372907
Winsorized Mean ( 6 / 6 )22982326.3157895228026.277379943100.788060831672
Trimmed Mean ( 1 / 6 )24125000.23529411433980.0865090616.823804223129
Trimmed Mean ( 2 / 6 )23185702.8666667665049.9503305234.8630999147413
Trimmed Mean ( 3 / 6 )22935150.7692308397088.38247360257.7583021350554
Trimmed Mean ( 4 / 6 )22915108.5454545344797.07017715866.4596962314114
Trimmed Mean ( 5 / 6 )22930359.4444444340930.91226608767.2580825599878
Trimmed Mean ( 6 / 6 )22988679.1428571323580.93863127471.0446024419662
Median22712734
Midrange48328336
Midmean - Weighted Average at Xnp22768723.3
Midmean - Weighted Average at X(n+1)p22915108.5454545
Midmean - Empirical Distribution Function22915108.5454545
Midmean - Empirical Distribution Function - Averaging22915108.5454545
Midmean - Empirical Distribution Function - Interpolation22930359.4444444
Midmean - Closest Observation22768723.3
Midmean - True Basic - Statistics Graphics Toolkit22915108.5454545
Midmean - MS Excel (old versions)22915108.5454545
Number of observations19



Parameters (Session):
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')