Home » date » 2009 » Oct » 24 »

WS 3 Review 1 part 2

*The author of this computation has been verified*
R Software Module: rwasp_centraltendency.wasp (opens new window with default values)
Title produced by software: Central Tendency
Date of computation: Sat, 24 Oct 2009 03:23:42 -0600
 
Cite this page as follows:
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2009/Oct/24/t1256376260p329l50ip23fj1p.htm/, Retrieved Sat, 24 Oct 2009 11:24:21 +0200
 
BibTeX entries for LaTeX users:
@Manual{KEY,
    author = {{YOUR NAME}},
    publisher = {Office for Research Development and Education},
    title = {Statistical Computations at FreeStatistics.org, URL http://www.freestatistics.org/blog/date/2009/Oct/24/t1256376260p329l50ip23fj1p.htm/},
    year = {2009},
}
@Manual{R,
    title = {R: A Language and Environment for Statistical Computing},
    author = {{R Development Core Team}},
    organization = {R Foundation for Statistical Computing},
    address = {Vienna, Austria},
    year = {2009},
    note = {{ISBN} 3-900051-07-0},
    url = {http://www.R-project.org},
}
 
Original text written by user:
 
IsPrivate?
No (this computation is public)
 
User-defined keywords:
 
Dataseries X:
» Textbox « » Textfile « » CSV «
4.241 4.336 4.452 4.567 4.737 4.800 4.091 3.738 3.750 3.914 4.092 4.206 4.269 4.355 4.421 4.534 4.684 4.720 3.959 3.662 3.667 3.814 4.032 4.143 4.212 4.297 4.396 4.485 4.632 4.641 3.765 3.559 3.568 3.733 3.907 3.997 4.086 4.208 4.332 4.484 4.622 4.564 3.777 3.643 3.660 3.827 3.980 4.052 4.130 4.217 4.423 4.543 4.701 4.671 3.884 3.776 3.806 4.090 4.268 4.424 4.534 4.655 4.775 4.884 5.060 5.041 4.174 4.000 3.996 4.173 4.361 4.520 4.735 4.808 4.972 5.049 5.172 5.111 4.316 4.174 4.156 4.374 4.611 4.820 4.809 4.933 5.082 5.166 5.405 5.359 4.474 4.331 4.370 4.584 4.831 4.901 4.933 5.011 5.210 5.257 5.586 5.459 4.560 4.434 4.427 4.652 4.802 4.835 4.831 4.883 4.953 5.036 5.278 5.181 4.489 4.341 4.310
 
Output produced by software:


Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk


Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean4.459213675213680.0433938481575692102.761425053193
Geometric Mean4.43465726997809
Harmonic Mean4.41006316007498
Quadratic Mean4.48363888197206
Winsorized Mean ( 1 / 39 )4.458205128205130.043150086152103103.318568414674
Winsorized Mean ( 2 / 39 )4.45856410256410.0427502314004788104.293332609053
Winsorized Mean ( 3 / 39 )4.457820512820510.0424586041968934104.992158765942
Winsorized Mean ( 4 / 39 )4.455119658119660.0419599495413928106.17552468038
Winsorized Mean ( 5 / 39 )4.45443589743590.0417750004292383106.629224456410
Winsorized Mean ( 6 / 39 )4.455410256410260.0408502403761904109.066928747061
Winsorized Mean ( 7 / 39 )4.453974358974360.0405323557529676109.886886074917
Winsorized Mean ( 8 / 39 )4.454179487179490.0403132930889246110.48910039064
Winsorized Mean ( 9 / 39 )4.45487179487180.0400700582664365111.177073046666
Winsorized Mean ( 10 / 39 )4.451111111111110.0392299191598855113.462153540775
Winsorized Mean ( 11 / 39 )4.448478632478630.0388264663393568114.573358121169
Winsorized Mean ( 12 / 39 )4.449196581196580.0380733567608149116.858532047684
Winsorized Mean ( 13 / 39 )4.448863247863250.0377760239433233117.769494601603
Winsorized Mean ( 14 / 39 )4.449461538461540.0374210270479045118.902710306843
Winsorized Mean ( 15 / 39 )4.45612820512820.0363125869322387122.715801367817
Winsorized Mean ( 16 / 39 )4.45585470085470.0354225519424022125.791464943012
Winsorized Mean ( 17 / 39 )4.451205128205130.034535116352614128.889246607916
Winsorized Mean ( 18 / 39 )4.455205128205130.0332465216563925134.005150200382
Winsorized Mean ( 19 / 39 )4.455367521367520.032395329186824137.531169869378
Winsorized Mean ( 20 / 39 )4.458102564102560.032052359133096139.088125950121
Winsorized Mean ( 21 / 39 )4.452538461538460.0313083843955623142.215529402072
Winsorized Mean ( 22 / 39 )4.449905982905980.0308462550477759144.260817918214
Winsorized Mean ( 23 / 39 )4.4560.0300439823971259148.315890386964
Winsorized Mean ( 24 / 39 )4.450256410256410.0283665098159839156.884172184933
Winsorized Mean ( 25 / 39 )4.456666666666670.0274027202575315162.635921718092
Winsorized Mean ( 26 / 39 )4.457555555555560.0272993077246742163.284563861912
Winsorized Mean ( 27 / 39 )4.455247863247860.0269748436637581165.163065216711
Winsorized Mean ( 28 / 39 )4.45285470085470.0266418160760676167.137806527187
Winsorized Mean ( 29 / 39 )4.462025641025640.0255348113995829174.742846978636
Winsorized Mean ( 30 / 39 )4.463820512820510.0249838545429966178.668207707437
Winsorized Mean ( 31 / 39 )4.466735042735040.0245432799279183181.994218207733
Winsorized Mean ( 32 / 39 )4.464547008547010.0232440900896900192.072350060597
Winsorized Mean ( 33 / 39 )4.454111111111110.0220017106004370202.443855025647
Winsorized Mean ( 34 / 39 )4.453529914529920.0219373574732770203.011229586562
Winsorized Mean ( 35 / 39 )4.458615384615380.0204042762567054218.513772726938
Winsorized Mean ( 36 / 39 )4.453384615384620.0196987324427672226.074679085240
Winsorized Mean ( 37 / 39 )4.449273504273500.0189847947593842234.359842213950
Winsorized Mean ( 38 / 39 )4.446675213675210.0183623708193483242.162368760671
Winsorized Mean ( 39 / 39 )4.449341880341880.0169469542292145262.545223180679
Trimmed Mean ( 1 / 39 )4.457243478260870.0423165499886862105.330975220158
Trimmed Mean ( 2 / 39 )4.456247787610620.0413901615060444107.66442133742
Trimmed Mean ( 3 / 39 )4.455027027027030.0405933680923497109.747656732791
Trimmed Mean ( 4 / 39 )4.454027522935780.039824791390488111.840573859217
Trimmed Mean ( 5 / 39 )4.453728971962620.0391276651382828113.825574723728
Trimmed Mean ( 6 / 39 )4.453571428571430.0383975251442805115.985897836825
Trimmed Mean ( 7 / 39 )4.453223300970870.0377966090216928117.820709747137
Trimmed Mean ( 8 / 39 )4.453099009900990.0371876363595483119.746761177458
Trimmed Mean ( 9 / 39 )4.452939393939390.0365435128005635121.853074668583
Trimmed Mean ( 10 / 39 )4.452680412371130.0358599004838693124.168788878097
Trimmed Mean ( 11 / 39 )4.452873684210530.0352297188313695126.395379580650
Trimmed Mean ( 12 / 39 )4.453376344086020.0345793695570994128.787088981838
Trimmed Mean ( 13 / 39 )4.453824175824180.0339567763513051131.161572280786
Trimmed Mean ( 14 / 39 )4.454325842696630.033290652781758133.801096418795
Trimmed Mean ( 15 / 39 )4.454325842696630.0325808030040207136.716269459256
Trimmed Mean ( 16 / 39 )4.454670588235290.0319282300395005139.521375996230
Trimmed Mean ( 17 / 39 )4.454566265060240.0313032488100296142.303640497308
Trimmed Mean ( 18 / 39 )4.454851851851850.0307046821092379145.087053368696
Trimmed Mean ( 19 / 39 )4.454822784810130.0301870655870166147.573892930028
Trimmed Mean ( 20 / 39 )4.454779220779220.0296973433510633150.005984310368
Trimmed Mean ( 21 / 39 )4.454520.0291683177499211152.717754866479
Trimmed Mean ( 22 / 39 )4.454671232876710.0286465965555081155.504379874410
Trimmed Mean ( 23 / 39 )4.455028169014080.028092116165865158.586421283115
Trimmed Mean ( 24 / 39 )4.454956521739130.0275453855876218161.731499730433
Trimmed Mean ( 25 / 39 )4.455298507462690.0271236511850292164.258804136287
Trimmed Mean ( 26 / 39 )4.45520.0267453195042537166.578679282235
Trimmed Mean ( 27 / 39 )4.455031746031750.0262968789288745169.4129466117
Trimmed Mean ( 28 / 39 )4.455016393442620.0257954277708584172.705660592903
Trimmed Mean ( 29 / 39 )4.455169491525420.0252300479589928176.581887547997
Trimmed Mean ( 30 / 39 )4.455169491525420.0247041030083634180.341277318070
Trimmed Mean ( 31 / 39 )4.454036363636360.0241366475155619184.534176122208
Trimmed Mean ( 32 / 39 )4.45313207547170.0234976458342161189.513966926307
Trimmed Mean ( 33 / 39 )4.45231372549020.0229200569789539194.254042630805
Trimmed Mean ( 34 / 39 )4.452183673469390.0224089555080946198.678768042587
Trimmed Mean ( 35 / 39 )4.452085106382980.0217601046692067204.598515221447
Trimmed Mean ( 36 / 39 )4.45160.0212175456267741209.807490381102
Trimmed Mean ( 37 / 39 )4.451465116279070.0206460266177808215.608804477921
Trimmed Mean ( 38 / 39 )4.451634146341460.0200366358386016222.174729440616
Trimmed Mean ( 39 / 39 )4.452025641025640.0193557674011189230.010288342702
Median4.434
Midrange4.5725
Midmean - Weighted Average at Xnp4.44908620689655
Midmean - Weighted Average at X(n+1)p4.45516949152542
Midmean - Empirical Distribution Function4.45516949152542
Midmean - Empirical Distribution Function - Averaging4.45516949152542
Midmean - Empirical Distribution Function - Interpolation4.45516949152542
Midmean - Closest Observation4.44911666666667
Midmean - True Basic - Statistics Graphics Toolkit4.45516949152542
Midmean - MS Excel (old versions)4.45516949152542
Number of observations117
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2009/Oct/24/t1256376260p329l50ip23fj1p/14fim1256376216.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Oct/24/t1256376260p329l50ip23fj1p/14fim1256376216.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Oct/24/t1256376260p329l50ip23fj1p/2b1vs1256376216.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Oct/24/t1256376260p329l50ip23fj1p/2b1vs1256376216.ps (open in new window)


 
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('http://www.xycoon.com/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('http://www.xycoon.com/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('http://www.xycoon.com/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('http://www.xycoon.com/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('http://www.xycoon.com/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('http://www.xycoon.com/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('http://www.xycoon.com/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('http://www.xycoon.com/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('http://www.xycoon.com/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('http://www.xycoon.com/midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('http://www.xycoon.com/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('http://www.xycoon.com/midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('http://www.xycoon.com/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('http://www.xycoon.com/midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('http://www.xycoon.com/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('http://www.xycoon.com/midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('http://www.xycoon.com/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('http://www.xycoon.com/midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('http://www.xycoon.com/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('http://www.xycoon.com/midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('http://www.xycoon.com/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('http://www.xycoon.com/midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('http://www.xycoon.com/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('http://www.xycoon.com/midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('http://www.xycoon.com/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')
 





Copyright

Creative Commons License

This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 License.

Software written by Ed van Stee & Patrick Wessa


Disclaimer

Information provided on this web site is provided "AS IS" without warranty of any kind, either express or implied, including, without limitation, warranties of merchantability, fitness for a particular purpose, and noninfringement. We use reasonable efforts to include accurate and timely information and periodically update the information, and software without notice. However, we make no warranties or representations as to the accuracy or completeness of such information (or software), and we assume no liability or responsibility for errors or omissions in the content of this web site, or any software bugs in online applications. Your use of this web site is AT YOUR OWN RISK. Under no circumstances and under no legal theory shall we be liable to you or any other person for any direct, indirect, special, incidental, exemplary, or consequential damages arising from your access to, or use of, this web site.


Privacy Policy

We may request personal information to be submitted to our servers in order to be able to:

  • personalize online software applications according to your needs
  • enforce strict security rules with respect to the data that you upload (e.g. statistical data)
  • manage user sessions of online applications
  • alert you about important changes or upgrades in resources or applications

We NEVER allow other companies to directly offer registered users information about their products and services. Banner references and hyperlinks of third parties NEVER contain any personal data of the visitor.

We do NOT sell, nor transmit by any means, personal information, nor statistical data series uploaded by you to third parties.

We carefully protect your data from loss, misuse, alteration, and destruction. However, at any time, and under any circumstance you are solely responsible for managing your passwords, and keeping them secret.

We store a unique ANONYMOUS USER ID in the form of a small 'Cookie' on your computer. This allows us to track your progress when using this website which is necessary to create state-dependent features. The cookie is used for NO OTHER PURPOSE. At any time you may opt to disallow cookies from this website - this will not affect other features of this website.

We examine cookies that are used by third-parties (banner and online ads) very closely: abuse from third-parties automatically results in termination of the advertising contract without refund. We have very good reason to believe that the cookies that are produced by third parties (banner ads) do NOT cause any privacy or security risk.

FreeStatistics.org is safe. There is no need to download any software to use the applications and services contained in this website. Hence, your system's security is not compromised by their use, and your personal data - other than data you submit in the account application form, and the user-agent information that is transmitted by your browser - is never transmitted to our servers.

As a general rule, we do not log on-line behavior of individuals (other than normal logging of webserver 'hits'). However, in cases of abuse, hacking, unauthorized access, Denial of Service attacks, illegal copying, hotlinking, non-compliance with international webstandards (such as robots.txt), or any other harmful behavior, our system engineers are empowered to log, track, identify, publish, and ban misbehaving individuals - even if this leads to ban entire blocks of IP addresses, or disclosing user's identity.


FreeStatistics.org is powered by