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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 computationTue, 13 Nov 2012 17:22:57 -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/Nov/13/t1352845442073dxe62pvfcukk.htm/, Retrieved Sun, 28 Apr 2024 18:47:13 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=189192, Retrieved Sun, 28 Apr 2024 18:47:13 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact56

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Central Tendency] [Arabica Price in ...] [2008-01-06 21:28:17] [74be16979710d4c4e7c6647856088456]
- RM D    [Central Tendency] [China ] [2012-11-13 22:22:57] [a1c9ee8128156b02a669e54abb47d426] [Current]
-    D      [Central Tendency] [usa] [2012-11-13 22:25:50] [0f86cfddc502cf698caf54991235c44d]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
4,27
4,06
4,58
3,23
3,65
3,45
3,03
2,11
1,7
2
1,8
1,59
-0,2
0,3
1,5
-0,1
0,2
-0,1
-0,3
-0,6
0,1
0,6
0,31
-0,1

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=189192&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]2 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=189192&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=189192&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 time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.wessa.net






Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean1.5450.3397553467602444.54738980484761
Geometric MeanNaN
Harmonic Mean-2.09450122552563
Quadratic Mean2.2454398232863
Winsorized Mean ( 1 / 8 )1.544583333333330.3317083466455134.65645000782566
Winsorized Mean ( 2 / 8 )1.535416666666670.3236336826840384.74430428233789
Winsorized Mean ( 3 / 8 )1.496666666666670.3041450756680774.92089725069239
Winsorized Mean ( 4 / 8 )1.463333333333330.2941160095151914.97536103439398
Winsorized Mean ( 5 / 8 )1.41750.2809509279447995.04536507627592
Winsorized Mean ( 6 / 8 )1.41750.2555870267851435.54605614310623
Winsorized Mean ( 7 / 8 )1.178333333333330.1809182162364636.51307180584421
Winsorized Mean ( 8 / 8 )1.1750.1650603754273937.11860733963289
Trimmed Mean ( 1 / 8 )1.504545454545450.3285516736870564.57932670882854
Trimmed Mean ( 2 / 8 )1.45650.3200364082906494.55104470075556
Trimmed Mean ( 3 / 8 )1.403888888888890.3096953372076544.53312891807462
Trimmed Mean ( 4 / 8 )1.35750.3028180146556674.48289049627251
Trimmed Mean ( 5 / 8 )1.312142857142860.2916044637266484.49973515622473
Trimmed Mean ( 6 / 8 )1.270.2722298494087144.66517541246287
Trimmed Mean ( 7 / 8 )1.2110.2422370280897984.99923570541444
Trimmed Mean ( 8 / 8 )1.2250.2481790828068664.93595183826713
Median1.545
Midrange1.99
Midmean - Weighted Average at Xnp0.996
Midmean - Weighted Average at X(n+1)p1.27
Midmean - Empirical Distribution Function0.996
Midmean - Empirical Distribution Function - Averaging1.27
Midmean - Empirical Distribution Function - Interpolation1.27
Midmean - Closest Observation0.996
Midmean - True Basic - Statistics Graphics Toolkit1.27
Midmean - MS Excel (old versions)1.135625
Number of observations24

\begin{tabular}{lllllllll}
\hline
Central Tendency - Ungrouped Data \tabularnewline
Measure & Value & S.E. & Value/S.E. \tabularnewline
Arithmetic Mean & 1.545 & 0.339755346760244 & 4.54738980484761 \tabularnewline
Geometric Mean & NaN &  &  \tabularnewline
Harmonic Mean & -2.09450122552563 &  &  \tabularnewline
Quadratic Mean & 2.2454398232863 &  &  \tabularnewline
Winsorized Mean ( 1 / 8 ) & 1.54458333333333 & 0.331708346645513 & 4.65645000782566 \tabularnewline
Winsorized Mean ( 2 / 8 ) & 1.53541666666667 & 0.323633682684038 & 4.74430428233789 \tabularnewline
Winsorized Mean ( 3 / 8 ) & 1.49666666666667 & 0.304145075668077 & 4.92089725069239 \tabularnewline
Winsorized Mean ( 4 / 8 ) & 1.46333333333333 & 0.294116009515191 & 4.97536103439398 \tabularnewline
Winsorized Mean ( 5 / 8 ) & 1.4175 & 0.280950927944799 & 5.04536507627592 \tabularnewline
Winsorized Mean ( 6 / 8 ) & 1.4175 & 0.255587026785143 & 5.54605614310623 \tabularnewline
Winsorized Mean ( 7 / 8 ) & 1.17833333333333 & 0.180918216236463 & 6.51307180584421 \tabularnewline
Winsorized Mean ( 8 / 8 ) & 1.175 & 0.165060375427393 & 7.11860733963289 \tabularnewline
Trimmed Mean ( 1 / 8 ) & 1.50454545454545 & 0.328551673687056 & 4.57932670882854 \tabularnewline
Trimmed Mean ( 2 / 8 ) & 1.4565 & 0.320036408290649 & 4.55104470075556 \tabularnewline
Trimmed Mean ( 3 / 8 ) & 1.40388888888889 & 0.309695337207654 & 4.53312891807462 \tabularnewline
Trimmed Mean ( 4 / 8 ) & 1.3575 & 0.302818014655667 & 4.48289049627251 \tabularnewline
Trimmed Mean ( 5 / 8 ) & 1.31214285714286 & 0.291604463726648 & 4.49973515622473 \tabularnewline
Trimmed Mean ( 6 / 8 ) & 1.27 & 0.272229849408714 & 4.66517541246287 \tabularnewline
Trimmed Mean ( 7 / 8 ) & 1.211 & 0.242237028089798 & 4.99923570541444 \tabularnewline
Trimmed Mean ( 8 / 8 ) & 1.225 & 0.248179082806866 & 4.93595183826713 \tabularnewline
Median & 1.545 &  &  \tabularnewline
Midrange & 1.99 &  &  \tabularnewline
Midmean - Weighted Average at Xnp & 0.996 &  &  \tabularnewline
Midmean - Weighted Average at X(n+1)p & 1.27 &  &  \tabularnewline
Midmean - Empirical Distribution Function & 0.996 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Averaging & 1.27 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Interpolation & 1.27 &  &  \tabularnewline
Midmean - Closest Observation & 0.996 &  &  \tabularnewline
Midmean - True Basic - Statistics Graphics Toolkit & 1.27 &  &  \tabularnewline
Midmean - MS Excel (old versions) & 1.135625 &  &  \tabularnewline
Number of observations & 24 &  &  \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=189192&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]1.545[/C][C]0.339755346760244[/C][C]4.54738980484761[/C][/ROW]
[ROW][C]Geometric Mean[/C][C]NaN[/C][C][/C][C][/C][/ROW]
[ROW][C]Harmonic Mean[/C][C]-2.09450122552563[/C][C][/C][C][/C][/ROW]
[ROW][C]Quadratic Mean[/C][C]2.2454398232863[/C][C][/C][C][/C][/ROW]
[ROW][C]Winsorized Mean ( 1 / 8 )[/C][C]1.54458333333333[/C][C]0.331708346645513[/C][C]4.65645000782566[/C][/ROW]
[ROW][C]Winsorized Mean ( 2 / 8 )[/C][C]1.53541666666667[/C][C]0.323633682684038[/C][C]4.74430428233789[/C][/ROW]
[ROW][C]Winsorized Mean ( 3 / 8 )[/C][C]1.49666666666667[/C][C]0.304145075668077[/C][C]4.92089725069239[/C][/ROW]
[ROW][C]Winsorized Mean ( 4 / 8 )[/C][C]1.46333333333333[/C][C]0.294116009515191[/C][C]4.97536103439398[/C][/ROW]
[ROW][C]Winsorized Mean ( 5 / 8 )[/C][C]1.4175[/C][C]0.280950927944799[/C][C]5.04536507627592[/C][/ROW]
[ROW][C]Winsorized Mean ( 6 / 8 )[/C][C]1.4175[/C][C]0.255587026785143[/C][C]5.54605614310623[/C][/ROW]
[ROW][C]Winsorized Mean ( 7 / 8 )[/C][C]1.17833333333333[/C][C]0.180918216236463[/C][C]6.51307180584421[/C][/ROW]
[ROW][C]Winsorized Mean ( 8 / 8 )[/C][C]1.175[/C][C]0.165060375427393[/C][C]7.11860733963289[/C][/ROW]
[ROW][C]Trimmed Mean ( 1 / 8 )[/C][C]1.50454545454545[/C][C]0.328551673687056[/C][C]4.57932670882854[/C][/ROW]
[ROW][C]Trimmed Mean ( 2 / 8 )[/C][C]1.4565[/C][C]0.320036408290649[/C][C]4.55104470075556[/C][/ROW]
[ROW][C]Trimmed Mean ( 3 / 8 )[/C][C]1.40388888888889[/C][C]0.309695337207654[/C][C]4.53312891807462[/C][/ROW]
[ROW][C]Trimmed Mean ( 4 / 8 )[/C][C]1.3575[/C][C]0.302818014655667[/C][C]4.48289049627251[/C][/ROW]
[ROW][C]Trimmed Mean ( 5 / 8 )[/C][C]1.31214285714286[/C][C]0.291604463726648[/C][C]4.49973515622473[/C][/ROW]
[ROW][C]Trimmed Mean ( 6 / 8 )[/C][C]1.27[/C][C]0.272229849408714[/C][C]4.66517541246287[/C][/ROW]
[ROW][C]Trimmed Mean ( 7 / 8 )[/C][C]1.211[/C][C]0.242237028089798[/C][C]4.99923570541444[/C][/ROW]
[ROW][C]Trimmed Mean ( 8 / 8 )[/C][C]1.225[/C][C]0.248179082806866[/C][C]4.93595183826713[/C][/ROW]
[ROW][C]Median[/C][C]1.545[/C][C][/C][C][/C][/ROW]
[ROW][C]Midrange[/C][C]1.99[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at Xnp[/C][C]0.996[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at X(n+1)p[/C][C]1.27[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function[/C][C]0.996[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Averaging[/C][C]1.27[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Interpolation[/C][C]1.27[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Closest Observation[/C][C]0.996[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - True Basic - Statistics Graphics Toolkit[/C][C]1.27[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - MS Excel (old versions)[/C][C]1.135625[/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=189192&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=189192&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 Mean1.5450.3397553467602444.54738980484761
Geometric MeanNaN
Harmonic Mean-2.09450122552563
Quadratic Mean2.2454398232863
Winsorized Mean ( 1 / 8 )1.544583333333330.3317083466455134.65645000782566
Winsorized Mean ( 2 / 8 )1.535416666666670.3236336826840384.74430428233789
Winsorized Mean ( 3 / 8 )1.496666666666670.3041450756680774.92089725069239
Winsorized Mean ( 4 / 8 )1.463333333333330.2941160095151914.97536103439398
Winsorized Mean ( 5 / 8 )1.41750.2809509279447995.04536507627592
Winsorized Mean ( 6 / 8 )1.41750.2555870267851435.54605614310623
Winsorized Mean ( 7 / 8 )1.178333333333330.1809182162364636.51307180584421
Winsorized Mean ( 8 / 8 )1.1750.1650603754273937.11860733963289
Trimmed Mean ( 1 / 8 )1.504545454545450.3285516736870564.57932670882854
Trimmed Mean ( 2 / 8 )1.45650.3200364082906494.55104470075556
Trimmed Mean ( 3 / 8 )1.403888888888890.3096953372076544.53312891807462
Trimmed Mean ( 4 / 8 )1.35750.3028180146556674.48289049627251
Trimmed Mean ( 5 / 8 )1.312142857142860.2916044637266484.49973515622473
Trimmed Mean ( 6 / 8 )1.270.2722298494087144.66517541246287
Trimmed Mean ( 7 / 8 )1.2110.2422370280897984.99923570541444
Trimmed Mean ( 8 / 8 )1.2250.2481790828068664.93595183826713
Median1.545
Midrange1.99
Midmean - Weighted Average at Xnp0.996
Midmean - Weighted Average at X(n+1)p1.27
Midmean - Empirical Distribution Function0.996
Midmean - Empirical Distribution Function - Averaging1.27
Midmean - Empirical Distribution Function - Interpolation1.27
Midmean - Closest Observation0.996
Midmean - True Basic - Statistics Graphics Toolkit1.27
Midmean - MS Excel (old versions)1.135625
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')