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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 computationWed, 16 Dec 2015 20:11:37 +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/16/t1450296748wo5mamhhal0gijx.htm/, Retrieved Thu, 16 May 2024 11:42:09 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=286746, Retrieved Thu, 16 May 2024 11:42:09 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact48

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Central Tendency] [] [2015-12-16 20:11:37] [7b81fac622814275349f5d25cf6bd6bd] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
104
81
101
92
83
101
64
57
108
121
99
109
96
88
91
71
85
93
64
48
96
95
74
91

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=286746&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=286746&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=286746&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 Mean883.6020324375495924.4306517294623
Geometric Mean86.0910933095836
Harmonic Mean83.9384593946966
Quadratic Mean89.6795220028891
Winsorized Mean ( 1 / 8 )87.8753.2622747576197426.9367256068022
Winsorized Mean ( 2 / 8 )88.3753.0155469737221229.3064577571205
Winsorized Mean ( 3 / 8 )87.8752.8838081832329230.4718602682814
Winsorized Mean ( 4 / 8 )88.54166666666672.3651907778145437.4353170565294
Winsorized Mean ( 5 / 8 )89.16666666666672.1691735775778441.106284710619
Winsorized Mean ( 6 / 8 )90.41666666666671.5462866537155858.4734185278026
Winsorized Mean ( 7 / 8 )90.1251.1922340799730975.5933767654372
Winsorized Mean ( 8 / 8 )90.79166666666671.0232428676436488.7293423073108
Trimmed Mean ( 1 / 8 )88.31818181818183.1107872388157728.390942561473
Trimmed Mean ( 2 / 8 )88.852.8361157648408831.3280582906619
Trimmed Mean ( 3 / 8 )89.16666666666672.6012189199067934.2788013666538
Trimmed Mean ( 4 / 8 )89.81252.2457714895628539.9918248216262
Trimmed Mean ( 5 / 8 )90.35714285714291.9989204307675845.2029712970847
Trimmed Mean ( 6 / 8 )90.83333333333331.6135474438439556.2941819156809
Trimmed Mean ( 7 / 8 )911.4142135623730964.3467170879758
Trimmed Mean ( 8 / 8 )91.3751.2668507071812872.1276780934255
Median91.5
Midrange84.5
Midmean - Weighted Average at Xnp89.5384615384615
Midmean - Weighted Average at X(n+1)p90.8333333333333
Midmean - Empirical Distribution Function89.5384615384615
Midmean - Empirical Distribution Function - Averaging90.8333333333333
Midmean - Empirical Distribution Function - Interpolation90.8333333333333
Midmean - Closest Observation89.5384615384615
Midmean - True Basic - Statistics Graphics Toolkit90.8333333333333
Midmean - MS Excel (old versions)91.0666666666667
Number of observations24

\begin{tabular}{lllllllll}
\hline
Central Tendency - Ungrouped Data \tabularnewline
Measure & Value & S.E. & Value/S.E. \tabularnewline
Arithmetic Mean & 88 & 3.60203243754959 & 24.4306517294623 \tabularnewline
Geometric Mean & 86.0910933095836 &  &  \tabularnewline
Harmonic Mean & 83.9384593946966 &  &  \tabularnewline
Quadratic Mean & 89.6795220028891 &  &  \tabularnewline
Winsorized Mean ( 1 / 8 ) & 87.875 & 3.26227475761974 & 26.9367256068022 \tabularnewline
Winsorized Mean ( 2 / 8 ) & 88.375 & 3.01554697372212 & 29.3064577571205 \tabularnewline
Winsorized Mean ( 3 / 8 ) & 87.875 & 2.88380818323292 & 30.4718602682814 \tabularnewline
Winsorized Mean ( 4 / 8 ) & 88.5416666666667 & 2.36519077781454 & 37.4353170565294 \tabularnewline
Winsorized Mean ( 5 / 8 ) & 89.1666666666667 & 2.16917357757784 & 41.106284710619 \tabularnewline
Winsorized Mean ( 6 / 8 ) & 90.4166666666667 & 1.54628665371558 & 58.4734185278026 \tabularnewline
Winsorized Mean ( 7 / 8 ) & 90.125 & 1.19223407997309 & 75.5933767654372 \tabularnewline
Winsorized Mean ( 8 / 8 ) & 90.7916666666667 & 1.02324286764364 & 88.7293423073108 \tabularnewline
Trimmed Mean ( 1 / 8 ) & 88.3181818181818 & 3.11078723881577 & 28.390942561473 \tabularnewline
Trimmed Mean ( 2 / 8 ) & 88.85 & 2.83611576484088 & 31.3280582906619 \tabularnewline
Trimmed Mean ( 3 / 8 ) & 89.1666666666667 & 2.60121891990679 & 34.2788013666538 \tabularnewline
Trimmed Mean ( 4 / 8 ) & 89.8125 & 2.24577148956285 & 39.9918248216262 \tabularnewline
Trimmed Mean ( 5 / 8 ) & 90.3571428571429 & 1.99892043076758 & 45.2029712970847 \tabularnewline
Trimmed Mean ( 6 / 8 ) & 90.8333333333333 & 1.61354744384395 & 56.2941819156809 \tabularnewline
Trimmed Mean ( 7 / 8 ) & 91 & 1.41421356237309 & 64.3467170879758 \tabularnewline
Trimmed Mean ( 8 / 8 ) & 91.375 & 1.26685070718128 & 72.1276780934255 \tabularnewline
Median & 91.5 &  &  \tabularnewline
Midrange & 84.5 &  &  \tabularnewline
Midmean - Weighted Average at Xnp & 89.5384615384615 &  &  \tabularnewline
Midmean - Weighted Average at X(n+1)p & 90.8333333333333 &  &  \tabularnewline
Midmean - Empirical Distribution Function & 89.5384615384615 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Averaging & 90.8333333333333 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Interpolation & 90.8333333333333 &  &  \tabularnewline
Midmean - Closest Observation & 89.5384615384615 &  &  \tabularnewline
Midmean - True Basic - Statistics Graphics Toolkit & 90.8333333333333 &  &  \tabularnewline
Midmean - MS Excel (old versions) & 91.0666666666667 &  &  \tabularnewline
Number of observations & 24 &  &  \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=286746&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]88[/C][C]3.60203243754959[/C][C]24.4306517294623[/C][/ROW]
[ROW][C]Geometric Mean[/C][C]86.0910933095836[/C][C][/C][C][/C][/ROW]
[ROW][C]Harmonic Mean[/C][C]83.9384593946966[/C][C][/C][C][/C][/ROW]
[ROW][C]Quadratic Mean[/C][C]89.6795220028891[/C][C][/C][C][/C][/ROW]
[ROW][C]Winsorized Mean ( 1 / 8 )[/C][C]87.875[/C][C]3.26227475761974[/C][C]26.9367256068022[/C][/ROW]
[ROW][C]Winsorized Mean ( 2 / 8 )[/C][C]88.375[/C][C]3.01554697372212[/C][C]29.3064577571205[/C][/ROW]
[ROW][C]Winsorized Mean ( 3 / 8 )[/C][C]87.875[/C][C]2.88380818323292[/C][C]30.4718602682814[/C][/ROW]
[ROW][C]Winsorized Mean ( 4 / 8 )[/C][C]88.5416666666667[/C][C]2.36519077781454[/C][C]37.4353170565294[/C][/ROW]
[ROW][C]Winsorized Mean ( 5 / 8 )[/C][C]89.1666666666667[/C][C]2.16917357757784[/C][C]41.106284710619[/C][/ROW]
[ROW][C]Winsorized Mean ( 6 / 8 )[/C][C]90.4166666666667[/C][C]1.54628665371558[/C][C]58.4734185278026[/C][/ROW]
[ROW][C]Winsorized Mean ( 7 / 8 )[/C][C]90.125[/C][C]1.19223407997309[/C][C]75.5933767654372[/C][/ROW]
[ROW][C]Winsorized Mean ( 8 / 8 )[/C][C]90.7916666666667[/C][C]1.02324286764364[/C][C]88.7293423073108[/C][/ROW]
[ROW][C]Trimmed Mean ( 1 / 8 )[/C][C]88.3181818181818[/C][C]3.11078723881577[/C][C]28.390942561473[/C][/ROW]
[ROW][C]Trimmed Mean ( 2 / 8 )[/C][C]88.85[/C][C]2.83611576484088[/C][C]31.3280582906619[/C][/ROW]
[ROW][C]Trimmed Mean ( 3 / 8 )[/C][C]89.1666666666667[/C][C]2.60121891990679[/C][C]34.2788013666538[/C][/ROW]
[ROW][C]Trimmed Mean ( 4 / 8 )[/C][C]89.8125[/C][C]2.24577148956285[/C][C]39.9918248216262[/C][/ROW]
[ROW][C]Trimmed Mean ( 5 / 8 )[/C][C]90.3571428571429[/C][C]1.99892043076758[/C][C]45.2029712970847[/C][/ROW]
[ROW][C]Trimmed Mean ( 6 / 8 )[/C][C]90.8333333333333[/C][C]1.61354744384395[/C][C]56.2941819156809[/C][/ROW]
[ROW][C]Trimmed Mean ( 7 / 8 )[/C][C]91[/C][C]1.41421356237309[/C][C]64.3467170879758[/C][/ROW]
[ROW][C]Trimmed Mean ( 8 / 8 )[/C][C]91.375[/C][C]1.26685070718128[/C][C]72.1276780934255[/C][/ROW]
[ROW][C]Median[/C][C]91.5[/C][C][/C][C][/C][/ROW]
[ROW][C]Midrange[/C][C]84.5[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at Xnp[/C][C]89.5384615384615[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at X(n+1)p[/C][C]90.8333333333333[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function[/C][C]89.5384615384615[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Averaging[/C][C]90.8333333333333[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Interpolation[/C][C]90.8333333333333[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Closest Observation[/C][C]89.5384615384615[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - True Basic - Statistics Graphics Toolkit[/C][C]90.8333333333333[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - MS Excel (old versions)[/C][C]91.0666666666667[/C][C][/C][C][/C][/ROW]
[ROW][C]Number of observations[/C][C]24[/C][C][/C][C][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=286746&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=286746&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 Mean883.6020324375495924.4306517294623
Geometric Mean86.0910933095836
Harmonic Mean83.9384593946966
Quadratic Mean89.6795220028891
Winsorized Mean ( 1 / 8 )87.8753.2622747576197426.9367256068022
Winsorized Mean ( 2 / 8 )88.3753.0155469737221229.3064577571205
Winsorized Mean ( 3 / 8 )87.8752.8838081832329230.4718602682814
Winsorized Mean ( 4 / 8 )88.54166666666672.3651907778145437.4353170565294
Winsorized Mean ( 5 / 8 )89.16666666666672.1691735775778441.106284710619
Winsorized Mean ( 6 / 8 )90.41666666666671.5462866537155858.4734185278026
Winsorized Mean ( 7 / 8 )90.1251.1922340799730975.5933767654372
Winsorized Mean ( 8 / 8 )90.79166666666671.0232428676436488.7293423073108
Trimmed Mean ( 1 / 8 )88.31818181818183.1107872388157728.390942561473
Trimmed Mean ( 2 / 8 )88.852.8361157648408831.3280582906619
Trimmed Mean ( 3 / 8 )89.16666666666672.6012189199067934.2788013666538
Trimmed Mean ( 4 / 8 )89.81252.2457714895628539.9918248216262
Trimmed Mean ( 5 / 8 )90.35714285714291.9989204307675845.2029712970847
Trimmed Mean ( 6 / 8 )90.83333333333331.6135474438439556.2941819156809
Trimmed Mean ( 7 / 8 )911.4142135623730964.3467170879758
Trimmed Mean ( 8 / 8 )91.3751.2668507071812872.1276780934255
Median91.5
Midrange84.5
Midmean - Weighted Average at Xnp89.5384615384615
Midmean - Weighted Average at X(n+1)p90.8333333333333
Midmean - Empirical Distribution Function89.5384615384615
Midmean - Empirical Distribution Function - Averaging90.8333333333333
Midmean - Empirical Distribution Function - Interpolation90.8333333333333
Midmean - Closest Observation89.5384615384615
Midmean - True Basic - Statistics Graphics Toolkit90.8333333333333
Midmean - MS Excel (old versions)91.0666666666667
Number of observations24


Figures (Output of Computation)

Input Parameters & R Code

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')