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PAPER-ARIMA.RESIDUALS

R Software Module: rwasp_centraltendency.wasp (opens new window with default values)
Title produced by software: Central Tendency
Date of computation: Wed, 02 Jan 2008 14:13:05 -0700
 
Cite this page as follows:
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2008/Jan/02/t1199308452rdpu1f4z950sf5j.htm/, Retrieved Wed, 02 Jan 2008 22:14:12 +0100
 
User-defined keywords:
 
Dataseries X:
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-26.9187469810876 32.874489387891 55.4109661945276 -411.740218895421 57.6733737633629 -449.467581034991 -373.137339219786 -371.885252056547 647.419900104101 22.1523873805244 120.184757841137 67.8888120330147 -152.178661396321 231.692050126901 145.757895879761 225.957394333699 337.679772954793 659.938431816578 220.144078002751 568.176791409846 348.725688751759 -773.427863750167 498.38970904353 -602.642890302524 -236.529593612675 -3.05556298875158 392.249606246461 -104.550624189284 682.677984138286 -319.622690005149 315.541866099491 -660.840435525499 -420.191537655717 -277.196634339462 214.812779686457 -48.212892846644 -710.905914493365 -581.694767515458 -463.052581193947 23.9970209408294 -281.457845858963 -536.338283342713 35.4711023289096 241.984285406962 380.351841879643 500.008616361698 182.200659128449 -675.434091344352 198.846676202320 -126.639122463669 186.007671918163 601.909319356326 20.3167698321624 -68.1288115494744 259.690820578064 -61.7095797836514 -647.712668790697 -295.901619150497 -605.509356504182 -98.046012972324 270.083300740681 -442.289624599786 -38.8754805600827 660.951580547094 -57.6441355331235 -231.023829802187 -252.085124727441 115.231007902820 748.358137075023 405.44716695319 -849.686777864503 695.692017672714 175.799998798506 244.333601485961 7.89489659545201 74.8741067960001 -21.1310352998892 462.378548091352 -214.580694018194 -464.829610996476 100.794657909799 517.088499003938 -359.030784626636 -227.25098999516 -634.829213278288 163.911850756588 844.727539602654 -309.728276460699 715.917713811229 831.323237867774 575.22343178314 -675.977088920678 964.105083611734 -985.20223413236 -90.6798507383488 -121.024474917569 -166.838259312123 -26.9771629104613 6.1385957833859 171.057951354712 18.1599006949306 -1161.16622559775 17.8684254754743 -34.0938501480774 413.474910175273 -307.711577223802 602.475786753365 540.065609154372
 
Text written by user:
 
Output produced by software:


Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001


Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean7.0622740194315341.79298720986840.168982274082671
Geometric MeanNaN
Harmonic Mean1159.72637483162
Quadratic Mean432.36770250126
Winsorized Mean ( 1 / 36 )7.5862226069899641.17296778180040.184252508762394
Winsorized Mean ( 2 / 36 )9.8475402835265740.59460133984640.242582509952143
Winsorized Mean ( 3 / 36 )9.6612573202372739.77183651952240.242917053013002
Winsorized Mean ( 4 / 36 )10.775387912570939.15381052606380.275206621470418
Winsorized Mean ( 5 / 36 )11.456088349338138.72423605926090.295837685004464
Winsorized Mean ( 6 / 36 )10.763253018332538.60072077226390.278835545114128
Winsorized Mean ( 7 / 36 )10.300945292347538.21793878202140.269531681211267
Winsorized Mean ( 8 / 36 )11.198324403776138.04749424750720.294324885915708
Winsorized Mean ( 9 / 36 )11.228734720437137.70928735255150.29777106672575
Winsorized Mean ( 10 / 36 )9.7820442966750736.63595341952450.267006680149940
Winsorized Mean ( 11 / 36 )10.016303434182636.58146817351450.273808131119092
Winsorized Mean ( 12 / 36 )9.3787740135025635.77620344880220.262151181774335
Winsorized Mean ( 13 / 36 )13.990144100473534.82555199469480.40172067057558
Winsorized Mean ( 14 / 36 )19.615744667794732.96325293020760.595079154030297
Winsorized Mean ( 15 / 36 )16.671289063918932.46389982082830.513533160092581
Winsorized Mean ( 16 / 36 )16.153528696025031.82526211459890.507569384279009
Winsorized Mean ( 17 / 36 )17.028564205188331.6351340729540.538280133914355
Winsorized Mean ( 18 / 36 )14.709718537170130.29671207181130.485521943843415
Winsorized Mean ( 19 / 36 )7.593106833837928.93769938857150.262394972450252
Winsorized Mean ( 20 / 36 )13.255169140051227.79337456224290.476918306928380
Winsorized Mean ( 21 / 36 )10.932438173261527.42572336851890.398619865968986
Winsorized Mean ( 22 / 36 )11.127322130558226.77206076064610.415631886915294
Winsorized Mean ( 23 / 36 )12.784587448640324.84453348261280.51458351824507
Winsorized Mean ( 24 / 36 )12.528698059192324.26174310809910.51639727629504
Winsorized Mean ( 25 / 36 )7.8710111104874923.56993484067440.333942845565469
Winsorized Mean ( 26 / 36 )-0.22957953231927321.9131243808587-0.0104768050565994
Winsorized Mean ( 27 / 36 )0.78324374990997821.16203780695660.0370117356870283
Winsorized Mean ( 28 / 36 )-2.0934989540979420.5736165959597-0.101756487214264
Winsorized Mean ( 29 / 36 )4.0185715316209119.67085148734250.204290675175232
Winsorized Mean ( 30 / 36 )5.4805981523723118.82616859239940.291115960503242
Winsorized Mean ( 31 / 36 )5.4148976758525518.45224473638950.293454685498175
Winsorized Mean ( 32 / 36 )4.8103120391352218.12661172367460.265372928623644
Winsorized Mean ( 33 / 36 )7.0527835465627817.48476790229840.403367295806978
Winsorized Mean ( 34 / 36 )17.056443375690115.18072118524011.12355949151308
Winsorized Mean ( 35 / 36 )17.646450571130714.18214389240471.24427242488925
Winsorized Mean ( 36 / 36 )24.8906259521113.10354988992231.89953303961187
Trimmed Mean ( 1 / 36 )9.0545918498549240.10679988085190.225762012345887
Trimmed Mean ( 2 / 36 )10.579436832830138.90789260961880.271909788046825
Trimmed Mean ( 3 / 36 )10.966911476579037.90575497983210.289320486623046
Trimmed Mean ( 4 / 36 )11.43694697286237.12298302554810.308082649634893
Trimmed Mean ( 5 / 36 )11.619213244574936.44361565852890.318827126085543
Trimmed Mean ( 6 / 36 )11.655916346003135.79382830272620.325640393852908
Trimmed Mean ( 7 / 36 )11.826851876833735.08684691664650.337073659110206
Trimmed Mean ( 8 / 36 )12.082749254356234.36738156958310.351576078901805
Trimmed Mean ( 9 / 36 )12.215412981943233.58196088729440.363749246892992
Trimmed Mean ( 10 / 36 )12.349960017603232.74914385316060.37710787411657
Trimmed Mean ( 11 / 36 )12.672442456975531.99072541172250.396128637093422
Trimmed Mean ( 12 / 36 )12.982900264834431.12741119449740.417088982559831
Trimmed Mean ( 13 / 36 )13.378475097297730.26907256118720.441984968989515
Trimmed Mean ( 14 / 36 )13.314955623891029.43433387956280.45236137085256
Trimmed Mean ( 15 / 36 )12.691800663504928.76467296276450.441228748887021
Trimmed Mean ( 16 / 36 )12.314796499255128.06209703867100.43884092062987
Trimmed Mean ( 17 / 36 )11.964641873198427.33892632904300.437641249301294
Trimmed Mean ( 18 / 36 )11.517825196846426.51724346717090.434352281416647
Trimmed Mean ( 19 / 36 )11.244234339104425.75936498158170.436510540812794
Trimmed Mean ( 20 / 36 )11.549436947903725.07324692331200.460627894872506
Trimmed Mean ( 21 / 36 )11.409877041273524.43329470944440.466980698958422
Trimmed Mean ( 22 / 36 )11.448242664595923.72291333477640.482581650197803
Trimmed Mean ( 23 / 36 )11.473652794856922.97177529732720.499467396243941
Trimmed Mean ( 24 / 36 )11.371057908908622.37587450161490.508183843634267
Trimmed Mean ( 25 / 36 )11.281241000697021.74220432045040.518863719355539
Trimmed Mean ( 26 / 36 )11.544315877941721.07877078549390.547675004174643
Trimmed Mean ( 27 / 36 )12.450000140269520.53681390320480.606228414930838
Trimmed Mean ( 28 / 36 )13.347442939527919.98800044982870.667772795634608
Trimmed Mean ( 29 / 36 )14.538601314179019.39583439794440.74957338858904
Trimmed Mean ( 30 / 36 )15.354810521446518.81736518346320.815991525473519
Trimmed Mean ( 31 / 36 )16.127574967721818.23834825625790.884267299928775
Trimmed Mean ( 32 / 36 )16.975792817811217.56015456634660.966722289013599
Trimmed Mean ( 33 / 36 )17.953376094669116.73825051310931.07259573398116
Trimmed Mean ( 34 / 36 )18.845242757696015.80314668602931.19249938838801
Trimmed Mean ( 35 / 36 )18.994770879411615.15012137628581.25377021131618
Trimmed Mean ( 36 / 36 )19.110341191550014.51653878913211.31645301053837
Median18.0141630852024
Midrange-98.530570993008
Midmean - Weighted Average at Xnp6.8436070622555
Midmean - Weighted Average at X(n+1)p12.4500001402694
Midmean - Empirical Distribution Function6.8436070622555
Midmean - Empirical Distribution Function - Averaging12.4500001402694
Midmean - Empirical Distribution Function - Interpolation12.4500001402694
Midmean - Closest Observation6.8436070622555
Midmean - True Basic - Statistics Graphics Toolkit12.4500001402694
Midmean - MS Excel (old versions)11.5443158779417
Number of observations108
 
Charts produced by software:
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Jan/02/t1199308452rdpu1f4z950sf5j/151y21199308379.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Jan/02/t1199308452rdpu1f4z950sf5j/151y21199308379.ps (open in new window)


http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Jan/02/t1199308452rdpu1f4z950sf5j/2smj71199308379.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Jan/02/t1199308452rdpu1f4z950sf5j/2smj71199308379.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')
 





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