Repository of Reproducible Computations

Free Statistics

of Irreproducible Research!

Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_centraltendency.wasp

Title produced by software

Central Tendency

Date of computation

Thu, 31 Jan 2019 16:03:43 +0100

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2019/Jan/31/t1548947033ymujcdjn5wrxohn.htm/, Retrieved Sat, 25 May 2024 15:13:25 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=318388, Retrieved Sat, 25 May 2024 15:13:25 +0000

QR Codes:

Paste this QR Code to cite your computation.

Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-       [Central Tendency] [] [2019-01-31 15:03:43] [47345ce27c85849acb4e002f9fcbccb4] [Current]

Feedback Forum

Post a new message

Dataseries X:

Download CSV

Histogram

Boxplots

-0.334025065972285
-3.53646906941508
-5.14800375562812
-0.243222798369726
2.29180199019835
5.41786341747927
5.86906728122399
-1.24322279836973
-2.59161847655224
0.954931751417256
-3.70819800980165
-0.243222798369727
-0.336803732866718
-1.59161847655224
-0.652452538961034
1.46353093058491
6.86906728122399
0.252467476118287
-1.15306887452079
-2.33680373286672

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	Big Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time2 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=318388&T=0

[TABLE]
[ROW]

Summary of computational transaction[/C][/ROW] [ROW]

Raw Input[/C]

view raw input (R code) [/C][/ROW] [ROW]

Raw Output[/C]

view raw output of R engine [/C][/ROW] [ROW]

Computing time[/C]

2 seconds[/C][/ROW] [ROW]

R Server[/C]

Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=318388&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=318388&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 Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	Big Analytics Cloud Computing Center

Central Tendency - Ungrouped Data
Measure	Value	S.E.	Value/S.E.
Arithmetic Mean	-3.30291e-16	0.707975	-4.66529e-16
Geometric Mean	NaN
Harmonic Mean	-1.54433
Quadratic Mean	3.08599
Winsorized Mean ( 1 / 6 )	0.0219903	0.658883	0.0333751
Winsorized Mean ( 2 / 6 )	-0.00595721	0.633086	-0.00940978
Winsorized Mean ( 3 / 6 )	-0.333139	0.39872	-0.835522
Winsorized Mean ( 4 / 6 )	-0.44783	0.329093	-1.3608
Winsorized Mean ( 5 / 6 )	-0.388684	0.237073	-1.63951
Winsorized Mean ( 6 / 6 )	-0.494904	0.149256	-3.31581
Trimmed Mean ( 1 / 6 )	-0.0956146	0.617333	-0.154884
Trimmed Mean ( 2 / 6 )	-0.242621	0.53089	-0.457008
Trimmed Mean ( 3 / 6 )	-0.411666	0.365789	-1.12542
Trimmed Mean ( 4 / 6 )	-0.455293	0.304862	-1.49344
Trimmed Mean ( 5 / 6 )	-0.459024	0.236785	-1.93857
Trimmed Mean ( 6 / 6 )	-0.494194	0.176984	-2.79231
Median	-0.335414
Midrange	0.860532
Midmean - Weighted Average at Xnp	-0.629731
Midmean - Weighted Average at X(n+1)p	-0.459024
Midmean - Empirical Distribution Function	-0.629731
Midmean - Empirical Distribution Function - Averaging	-0.459024
Midmean - Empirical Distribution Function - Interpolation	-0.459024
Midmean - Closest Observation	-0.629731
Midmean - True Basic - Statistics Graphics Toolkit	-0.459024
Midmean - MS Excel (old versions)	-0.455293
Number of observations	20

\begin{tabular}{lllllllll}
\hline
Central Tendency - Ungrouped Data \tabularnewline
Measure & Value & S.E. & Value/S.E. \tabularnewline
Arithmetic Mean & -3.30291e-16 & 0.707975 & -4.66529e-16 \tabularnewline
Geometric Mean & NaN &  &  \tabularnewline
Harmonic Mean & -1.54433 &  &  \tabularnewline
Quadratic Mean & 3.08599 &  &  \tabularnewline
Winsorized Mean ( 1 / 6 ) & 0.0219903 & 0.658883 & 0.0333751 \tabularnewline
Winsorized Mean ( 2 / 6 ) & -0.00595721 & 0.633086 & -0.00940978 \tabularnewline
Winsorized Mean ( 3 / 6 ) & -0.333139 & 0.39872 & -0.835522 \tabularnewline
Winsorized Mean ( 4 / 6 ) & -0.44783 & 0.329093 & -1.3608 \tabularnewline
Winsorized Mean ( 5 / 6 ) & -0.388684 & 0.237073 & -1.63951 \tabularnewline
Winsorized Mean ( 6 / 6 ) & -0.494904 & 0.149256 & -3.31581 \tabularnewline
Trimmed Mean ( 1 / 6 ) & -0.0956146 & 0.617333 & -0.154884 \tabularnewline
Trimmed Mean ( 2 / 6 ) & -0.242621 & 0.53089 & -0.457008 \tabularnewline
Trimmed Mean ( 3 / 6 ) & -0.411666 & 0.365789 & -1.12542 \tabularnewline
Trimmed Mean ( 4 / 6 ) & -0.455293 & 0.304862 & -1.49344 \tabularnewline
Trimmed Mean ( 5 / 6 ) & -0.459024 & 0.236785 & -1.93857 \tabularnewline
Trimmed Mean ( 6 / 6 ) & -0.494194 & 0.176984 & -2.79231 \tabularnewline
Median & -0.335414 &  &  \tabularnewline
Midrange & 0.860532 &  &  \tabularnewline
Midmean - Weighted Average at Xnp & -0.629731 &  &  \tabularnewline
Midmean - Weighted Average at X(n+1)p & -0.459024 &  &  \tabularnewline
Midmean - Empirical Distribution Function & -0.629731 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Averaging & -0.459024 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Interpolation & -0.459024 &  &  \tabularnewline
Midmean - Closest Observation & -0.629731 &  &  \tabularnewline
Midmean - True Basic - Statistics Graphics Toolkit & -0.459024 &  &  \tabularnewline
Midmean - MS Excel (old versions) & -0.455293 &  &  \tabularnewline
Number of observations & 20 &  &  \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=318388&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]-3.30291e-16[/C][C]0.707975[/C][C]-4.66529e-16[/C][/ROW]
[ROW][C]Geometric Mean[/C][C]NaN[/C][C][/C][C][/C][/ROW]
[ROW][C]Harmonic Mean[/C][C]-1.54433[/C][C][/C][C][/C][/ROW]
[ROW][C]Quadratic Mean[/C][C]3.08599[/C][C][/C][C][/C][/ROW]
[ROW][C]Winsorized Mean ( 1 / 6 )[/C][C]0.0219903[/C][C]0.658883[/C][C]0.0333751[/C][/ROW]
[ROW][C]Winsorized Mean ( 2 / 6 )[/C][C]-0.00595721[/C][C]0.633086[/C][C]-0.00940978[/C][/ROW]
[ROW][C]Winsorized Mean ( 3 / 6 )[/C][C]-0.333139[/C][C]0.39872[/C][C]-0.835522[/C][/ROW]
[ROW][C]Winsorized Mean ( 4 / 6 )[/C][C]-0.44783[/C][C]0.329093[/C][C]-1.3608[/C][/ROW]
[ROW][C]Winsorized Mean ( 5 / 6 )[/C][C]-0.388684[/C][C]0.237073[/C][C]-1.63951[/C][/ROW]
[ROW][C]Winsorized Mean ( 6 / 6 )[/C][C]-0.494904[/C][C]0.149256[/C][C]-3.31581[/C][/ROW]
[ROW][C]Trimmed Mean ( 1 / 6 )[/C][C]-0.0956146[/C][C]0.617333[/C][C]-0.154884[/C][/ROW]
[ROW][C]Trimmed Mean ( 2 / 6 )[/C][C]-0.242621[/C][C]0.53089[/C][C]-0.457008[/C][/ROW]
[ROW][C]Trimmed Mean ( 3 / 6 )[/C][C]-0.411666[/C][C]0.365789[/C][C]-1.12542[/C][/ROW]
[ROW][C]Trimmed Mean ( 4 / 6 )[/C][C]-0.455293[/C][C]0.304862[/C][C]-1.49344[/C][/ROW]
[ROW][C]Trimmed Mean ( 5 / 6 )[/C][C]-0.459024[/C][C]0.236785[/C][C]-1.93857[/C][/ROW]
[ROW][C]Trimmed Mean ( 6 / 6 )[/C][C]-0.494194[/C][C]0.176984[/C][C]-2.79231[/C][/ROW]
[ROW][C]Median[/C][C]-0.335414[/C][C][/C][C][/C][/ROW]
[ROW][C]Midrange[/C][C]0.860532[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at Xnp[/C][C]-0.629731[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at X(n+1)p[/C][C]-0.459024[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function[/C][C]-0.629731[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Averaging[/C][C]-0.459024[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Interpolation[/C][C]-0.459024[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Closest Observation[/C][C]-0.629731[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - True Basic - Statistics Graphics Toolkit[/C][C]-0.459024[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - MS Excel (old versions)[/C][C]-0.455293[/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=318388&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=318388&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
Measure	Value	S.E.	Value/S.E.
Arithmetic Mean	-3.30291e-16	0.707975	-4.66529e-16
Geometric Mean	NaN
Harmonic Mean	-1.54433
Quadratic Mean	3.08599
Winsorized Mean ( 1 / 6 )	0.0219903	0.658883	0.0333751
Winsorized Mean ( 2 / 6 )	-0.00595721	0.633086	-0.00940978
Winsorized Mean ( 3 / 6 )	-0.333139	0.39872	-0.835522
Winsorized Mean ( 4 / 6 )	-0.44783	0.329093	-1.3608
Winsorized Mean ( 5 / 6 )	-0.388684	0.237073	-1.63951
Winsorized Mean ( 6 / 6 )	-0.494904	0.149256	-3.31581
Trimmed Mean ( 1 / 6 )	-0.0956146	0.617333	-0.154884
Trimmed Mean ( 2 / 6 )	-0.242621	0.53089	-0.457008
Trimmed Mean ( 3 / 6 )	-0.411666	0.365789	-1.12542
Trimmed Mean ( 4 / 6 )	-0.455293	0.304862	-1.49344
Trimmed Mean ( 5 / 6 )	-0.459024	0.236785	-1.93857
Trimmed Mean ( 6 / 6 )	-0.494194	0.176984	-2.79231
Median	-0.335414
Midrange	0.860532
Midmean - Weighted Average at Xnp	-0.629731
Midmean - Weighted Average at X(n+1)p	-0.459024
Midmean - Empirical Distribution Function	-0.629731
Midmean - Empirical Distribution Function - Averaging	-0.459024
Midmean - Empirical Distribution Function - Interpolation	-0.459024
Midmean - Closest Observation	-0.629731
Midmean - True Basic - Statistics Graphics Toolkit	-0.459024
Midmean - MS Excel (old versions)	-0.455293
Number of observations	20

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

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,'Arithmetic Mean',header=TRUE)
a<-table.element(a,signif(arm,6))
a<-table.element(a, signif(armse,6))
a<-table.element(a,signif(armose,6))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Geometric Mean',header=TRUE)
a<-table.element(a,signif(geo,6))
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Harmonic Mean',header=TRUE)
a<-table.element(a,signif(har,6))
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Quadratic Mean',header=TRUE)
a<-table.element(a,signif(qua,6))
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, mylabel,header=TRUE)
a<-table.element(a,signif(win[j,1],6))
a<-table.element(a,signif(win[j,2],6))
a<-table.element(a,signif(win[j,1]/win[j,2],6))
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, mylabel,header=TRUE)
a<-table.element(a,signif(tri[j,1],6))
a<-table.element(a,signif(tri[j,2],6))
a<-table.element(a,signif(tri[j,1]/tri[j,2],6))
a<-table.row.end(a)
}
a<-table.row.start(a)
a<-table.element(a, 'Median',header=TRUE)
a<-table.element(a,signif(median(x),6))
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Midrange',header=TRUE)
a<-table.element(a,signif(midr,6))
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
mymid <-  'Midmean'
mylabel <- paste(mymid,'Weighted Average at Xnp',sep=' - ')
a<-table.element(a,mylabel,header=TRUE)
a<-table.element(a,signif(midm[1],6))
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
mymid <-  'Midmean'
mylabel <- paste(mymid,'Weighted Average at X(n+1)p',sep=' - ')
a<-table.element(a,mylabel,header=TRUE)
a<-table.element(a,signif(midm[2],6))
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
mymid <-  'Midmean'
mylabel <- paste(mymid,'Empirical Distribution Function',sep=' - ')
a<-table.element(a,mylabel,header=TRUE)
a<-table.element(a,signif(midm[3],6))
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
mymid <-  'Midmean'
mylabel <- paste(mymid,'Empirical Distribution Function - Averaging',sep=' - ')
a<-table.element(a,mylabel,header=TRUE)
a<-table.element(a,signif(midm[4],6))
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
mymid <-  'Midmean'
mylabel <- paste(mymid,'Empirical Distribution Function - Interpolation',sep=' - ')
a<-table.element(a,mylabel,header=TRUE)
a<-table.element(a,signif(midm[5],6))
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
mymid <-  'Midmean'
mylabel <- paste(mymid,'Closest Observation',sep=' - ')
a<-table.element(a,mylabel,header=TRUE)
a<-table.element(a,signif(midm[6],6))
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
mymid <-  'Midmean'
mylabel <- paste(mymid,'True Basic - Statistics Graphics Toolkit',sep=' - ')
a<-table.element(a,mylabel,header=TRUE)
a<-table.element(a,signif(midm[7],6))
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
mymid <-  'Midmean'
mylabel <- paste(mymid,'MS Excel (old versions)',sep=' - ')
a<-table.element(a,mylabel,header=TRUE)
a<-table.element(a,signif(midm[8],6))
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,signif(length(x),6))
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code