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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 17:25:50 -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/t1352845561smbkk7xup1jcwp6.htm/, Retrieved Sun, 28 Apr 2024 06:59:24 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=189195, Retrieved Sun, 28 Apr 2024 06:59:24 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact64

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] [0f86cfddc502cf698caf54991235c44d]
-    D      [Central Tendency] [usa] [2012-11-13 22:25:50] [a1c9ee8128156b02a669e54abb47d426] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
3,53
3,39
2,96
2,93
2,87
2,65
2,3
1,7
1,66
1,41
1,69
1,99
0,21
-0,08
-0,25
0,44
0,44
0,76
0,3
-0,12
-0,15
-0,16
0,56
0,45

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'Gwilym Jenkins' @ jenkins.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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=189195&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=189195&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=189195&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'Gwilym Jenkins' @ jenkins.wessa.net






Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean1.311666666666670.2580372309578345.08324578510536
Geometric MeanNaN
Harmonic Mean-1.66973843381237
Quadratic Mean1.80329790476597
Winsorized Mean ( 1 / 8 )1.309583333333330.2549484738839385.13665884475742
Winsorized Mean ( 2 / 8 )1.274583333333330.2429543250199385.24618499065095
Winsorized Mean ( 3 / 8 )1.274583333333330.2408785092527085.29139497453531
Winsorized Mean ( 4 / 8 )1.271250.2362450156670745.38106590909623
Winsorized Mean ( 5 / 8 )1.285833333333330.2086428859672296.16284292355548
Winsorized Mean ( 6 / 8 )1.220833333333330.1796755496446216.79465478607419
Winsorized Mean ( 7 / 8 )1.171250.1479501390990237.91651841040907
Winsorized Mean ( 8 / 8 )1.074583333333330.1257758230705818.54363984348815
Trimmed Mean ( 1 / 8 )1.281818181818180.2521531833291945.08348998372441
Trimmed Mean ( 2 / 8 )1.24850.2451049989827135.09373535905751
Trimmed Mean ( 3 / 8 )1.231111111111110.2421214637229675.08468391104613
Trimmed Mean ( 4 / 8 )1.2093750.2346921187960945.15302774632467
Trimmed Mean ( 5 / 8 )1.182857142857140.2197561800039345.38258875284402
Trimmed Mean ( 6 / 8 )1.141666666666670.2072541746968995.50853399376059
Trimmed Mean ( 7 / 8 )1.110.2002720372116115.54246122151918
Trimmed Mean ( 8 / 8 )1.083750.2061980454043435.25586941367377
Median1.085
Midrange1.64
Midmean - Weighted Average at Xnp1.07
Midmean - Weighted Average at X(n+1)p1.14166666666667
Midmean - Empirical Distribution Function1.07
Midmean - Empirical Distribution Function - Averaging1.14166666666667
Midmean - Empirical Distribution Function - Interpolation1.14166666666667
Midmean - Closest Observation1.07
Midmean - True Basic - Statistics Graphics Toolkit1.14166666666667
Midmean - MS Excel (old versions)1.18285714285714
Number of observations24

\begin{tabular}{lllllllll}
\hline
Central Tendency - Ungrouped Data \tabularnewline
Measure & Value & S.E. & Value/S.E. \tabularnewline
Arithmetic Mean & 1.31166666666667 & 0.258037230957834 & 5.08324578510536 \tabularnewline
Geometric Mean & NaN &  &  \tabularnewline
Harmonic Mean & -1.66973843381237 &  &  \tabularnewline
Quadratic Mean & 1.80329790476597 &  &  \tabularnewline
Winsorized Mean ( 1 / 8 ) & 1.30958333333333 & 0.254948473883938 & 5.13665884475742 \tabularnewline
Winsorized Mean ( 2 / 8 ) & 1.27458333333333 & 0.242954325019938 & 5.24618499065095 \tabularnewline
Winsorized Mean ( 3 / 8 ) & 1.27458333333333 & 0.240878509252708 & 5.29139497453531 \tabularnewline
Winsorized Mean ( 4 / 8 ) & 1.27125 & 0.236245015667074 & 5.38106590909623 \tabularnewline
Winsorized Mean ( 5 / 8 ) & 1.28583333333333 & 0.208642885967229 & 6.16284292355548 \tabularnewline
Winsorized Mean ( 6 / 8 ) & 1.22083333333333 & 0.179675549644621 & 6.79465478607419 \tabularnewline
Winsorized Mean ( 7 / 8 ) & 1.17125 & 0.147950139099023 & 7.91651841040907 \tabularnewline
Winsorized Mean ( 8 / 8 ) & 1.07458333333333 & 0.125775823070581 & 8.54363984348815 \tabularnewline
Trimmed Mean ( 1 / 8 ) & 1.28181818181818 & 0.252153183329194 & 5.08348998372441 \tabularnewline
Trimmed Mean ( 2 / 8 ) & 1.2485 & 0.245104998982713 & 5.09373535905751 \tabularnewline
Trimmed Mean ( 3 / 8 ) & 1.23111111111111 & 0.242121463722967 & 5.08468391104613 \tabularnewline
Trimmed Mean ( 4 / 8 ) & 1.209375 & 0.234692118796094 & 5.15302774632467 \tabularnewline
Trimmed Mean ( 5 / 8 ) & 1.18285714285714 & 0.219756180003934 & 5.38258875284402 \tabularnewline
Trimmed Mean ( 6 / 8 ) & 1.14166666666667 & 0.207254174696899 & 5.50853399376059 \tabularnewline
Trimmed Mean ( 7 / 8 ) & 1.11 & 0.200272037211611 & 5.54246122151918 \tabularnewline
Trimmed Mean ( 8 / 8 ) & 1.08375 & 0.206198045404343 & 5.25586941367377 \tabularnewline
Median & 1.085 &  &  \tabularnewline
Midrange & 1.64 &  &  \tabularnewline
Midmean - Weighted Average at Xnp & 1.07 &  &  \tabularnewline
Midmean - Weighted Average at X(n+1)p & 1.14166666666667 &  &  \tabularnewline
Midmean - Empirical Distribution Function & 1.07 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Averaging & 1.14166666666667 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Interpolation & 1.14166666666667 &  &  \tabularnewline
Midmean - Closest Observation & 1.07 &  &  \tabularnewline
Midmean - True Basic - Statistics Graphics Toolkit & 1.14166666666667 &  &  \tabularnewline
Midmean - MS Excel (old versions) & 1.18285714285714 &  &  \tabularnewline
Number of observations & 24 &  &  \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=189195&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]1.31166666666667[/C][C]0.258037230957834[/C][C]5.08324578510536[/C][/ROW]
[ROW][C]Geometric Mean[/C][C]NaN[/C][C][/C][C][/C][/ROW]
[ROW][C]Harmonic Mean[/C][C]-1.66973843381237[/C][C][/C][C][/C][/ROW]
[ROW][C]Quadratic Mean[/C][C]1.80329790476597[/C][C][/C][C][/C][/ROW]
[ROW][C]Winsorized Mean ( 1 / 8 )[/C][C]1.30958333333333[/C][C]0.254948473883938[/C][C]5.13665884475742[/C][/ROW]
[ROW][C]Winsorized Mean ( 2 / 8 )[/C][C]1.27458333333333[/C][C]0.242954325019938[/C][C]5.24618499065095[/C][/ROW]
[ROW][C]Winsorized Mean ( 3 / 8 )[/C][C]1.27458333333333[/C][C]0.240878509252708[/C][C]5.29139497453531[/C][/ROW]
[ROW][C]Winsorized Mean ( 4 / 8 )[/C][C]1.27125[/C][C]0.236245015667074[/C][C]5.38106590909623[/C][/ROW]
[ROW][C]Winsorized Mean ( 5 / 8 )[/C][C]1.28583333333333[/C][C]0.208642885967229[/C][C]6.16284292355548[/C][/ROW]
[ROW][C]Winsorized Mean ( 6 / 8 )[/C][C]1.22083333333333[/C][C]0.179675549644621[/C][C]6.79465478607419[/C][/ROW]
[ROW][C]Winsorized Mean ( 7 / 8 )[/C][C]1.17125[/C][C]0.147950139099023[/C][C]7.91651841040907[/C][/ROW]
[ROW][C]Winsorized Mean ( 8 / 8 )[/C][C]1.07458333333333[/C][C]0.125775823070581[/C][C]8.54363984348815[/C][/ROW]
[ROW][C]Trimmed Mean ( 1 / 8 )[/C][C]1.28181818181818[/C][C]0.252153183329194[/C][C]5.08348998372441[/C][/ROW]
[ROW][C]Trimmed Mean ( 2 / 8 )[/C][C]1.2485[/C][C]0.245104998982713[/C][C]5.09373535905751[/C][/ROW]
[ROW][C]Trimmed Mean ( 3 / 8 )[/C][C]1.23111111111111[/C][C]0.242121463722967[/C][C]5.08468391104613[/C][/ROW]
[ROW][C]Trimmed Mean ( 4 / 8 )[/C][C]1.209375[/C][C]0.234692118796094[/C][C]5.15302774632467[/C][/ROW]
[ROW][C]Trimmed Mean ( 5 / 8 )[/C][C]1.18285714285714[/C][C]0.219756180003934[/C][C]5.38258875284402[/C][/ROW]
[ROW][C]Trimmed Mean ( 6 / 8 )[/C][C]1.14166666666667[/C][C]0.207254174696899[/C][C]5.50853399376059[/C][/ROW]
[ROW][C]Trimmed Mean ( 7 / 8 )[/C][C]1.11[/C][C]0.200272037211611[/C][C]5.54246122151918[/C][/ROW]
[ROW][C]Trimmed Mean ( 8 / 8 )[/C][C]1.08375[/C][C]0.206198045404343[/C][C]5.25586941367377[/C][/ROW]
[ROW][C]Median[/C][C]1.085[/C][C][/C][C][/C][/ROW]
[ROW][C]Midrange[/C][C]1.64[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at Xnp[/C][C]1.07[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at X(n+1)p[/C][C]1.14166666666667[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function[/C][C]1.07[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Averaging[/C][C]1.14166666666667[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Interpolation[/C][C]1.14166666666667[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Closest Observation[/C][C]1.07[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - True Basic - Statistics Graphics Toolkit[/C][C]1.14166666666667[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - MS Excel (old versions)[/C][C]1.18285714285714[/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=189195&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=189195&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 Mean1.311666666666670.2580372309578345.08324578510536
Geometric MeanNaN
Harmonic Mean-1.66973843381237
Quadratic Mean1.80329790476597
Winsorized Mean ( 1 / 8 )1.309583333333330.2549484738839385.13665884475742
Winsorized Mean ( 2 / 8 )1.274583333333330.2429543250199385.24618499065095
Winsorized Mean ( 3 / 8 )1.274583333333330.2408785092527085.29139497453531
Winsorized Mean ( 4 / 8 )1.271250.2362450156670745.38106590909623
Winsorized Mean ( 5 / 8 )1.285833333333330.2086428859672296.16284292355548
Winsorized Mean ( 6 / 8 )1.220833333333330.1796755496446216.79465478607419
Winsorized Mean ( 7 / 8 )1.171250.1479501390990237.91651841040907
Winsorized Mean ( 8 / 8 )1.074583333333330.1257758230705818.54363984348815
Trimmed Mean ( 1 / 8 )1.281818181818180.2521531833291945.08348998372441
Trimmed Mean ( 2 / 8 )1.24850.2451049989827135.09373535905751
Trimmed Mean ( 3 / 8 )1.231111111111110.2421214637229675.08468391104613
Trimmed Mean ( 4 / 8 )1.2093750.2346921187960945.15302774632467
Trimmed Mean ( 5 / 8 )1.182857142857140.2197561800039345.38258875284402
Trimmed Mean ( 6 / 8 )1.141666666666670.2072541746968995.50853399376059
Trimmed Mean ( 7 / 8 )1.110.2002720372116115.54246122151918
Trimmed Mean ( 8 / 8 )1.083750.2061980454043435.25586941367377
Median1.085
Midrange1.64
Midmean - Weighted Average at Xnp1.07
Midmean - Weighted Average at X(n+1)p1.14166666666667
Midmean - Empirical Distribution Function1.07
Midmean - Empirical Distribution Function - Averaging1.14166666666667
Midmean - Empirical Distribution Function - Interpolation1.14166666666667
Midmean - Closest Observation1.07
Midmean - True Basic - Statistics Graphics Toolkit1.14166666666667
Midmean - MS Excel (old versions)1.18285714285714
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')