Home » date » 2009 » Mar » 18 »

cijferreeks - verkoop eengezinswoningen - Anne-Sophie De Smedt

*Unverified author*
R Software Module: rwasp_centraltendency.wasp (opens new window with default values)
Title produced by software: Central Tendency
Date of computation: Wed, 18 Mar 2009 09:52:01 -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/Mar/18/t1237391580oy5j5dfvxe4g7d2.htm/, Retrieved Wed, 18 Mar 2009 16:53:03 +0100
 
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/Mar/18/t1237391580oy5j5dfvxe4g7d2.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 «
53 59 73 72 62 58 55 56 52 52 43 37 43 55 68 68 64 65 57 59 54 57 43 42 52 51 58 60 61 58 62 61 49 51 47 40 45 50 58 52 50 50 46 46 38 37 34 29 30 40 46 46 47 47 43 46 37 41 39 36 48 55 56 53 52 53 52 56 51 48 42 42 44 50 60 66 58 59 55 57 57 56 53 51 45 58 74 65 65 55 52 59 54 57 45 40 47 47 60 58 63 64 64 63 55 54 44
 
Output produced by software:


Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135


Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean52.26168224299070.88675837018229958.9356514697986
Geometric Mean51.4224232171707
Harmonic Mean50.5326359497828
Quadratic Mean53.0531385878224
Winsorized Mean ( 1 / 35 )52.26168224299070.88237272985124659.2285782129748
Winsorized Mean ( 2 / 35 )52.31775700934580.86187680235469760.7021291980602
Winsorized Mean ( 3 / 35 )52.26168224299070.82889286619907263.0499843515834
Winsorized Mean ( 4 / 35 )52.29906542056070.82215132903975363.6124562148971
Winsorized Mean ( 5 / 35 )52.20560747663550.80618075250262464.7567029038759
Winsorized Mean ( 6 / 35 )52.14953271028040.79739079642825665.4002189940908
Winsorized Mean ( 7 / 35 )52.2149532710280.78594468801285266.4359134521871
Winsorized Mean ( 8 / 35 )52.28971962616820.77350425006094967.6010760406915
Winsorized Mean ( 9 / 35 )52.28971962616820.74741774305266669.9605008206016
Winsorized Mean ( 10 / 35 )52.28971962616820.74741774305266669.9605008206016
Winsorized Mean ( 11 / 35 )52.28971962616820.74741774305266669.9605008206016
Winsorized Mean ( 12 / 35 )52.28971962616820.71411806971362773.2227930419647
Winsorized Mean ( 13 / 35 )52.4112149532710.69648502475425675.2510292260247
Winsorized Mean ( 14 / 35 )52.28037383177570.678250468636477.081220359322
Winsorized Mean ( 15 / 35 )52.28037383177570.678250468636477.081220359322
Winsorized Mean ( 16 / 35 )52.28037383177570.63750892719704582.0072811554787
Winsorized Mean ( 17 / 35 )52.28037383177570.63750892719704582.0072811554787
Winsorized Mean ( 18 / 35 )52.11214953271030.61649104343119584.530262179756
Winsorized Mean ( 19 / 35 )52.11214953271030.61649104343119584.530262179756
Winsorized Mean ( 20 / 35 )52.29906542056070.59106599575113488.4826158102674
Winsorized Mean ( 21 / 35 )52.10280373831780.56774131669909791.7720838801172
Winsorized Mean ( 22 / 35 )52.30841121495330.54077460573835696.7286752371315
Winsorized Mean ( 23 / 35 )52.30841121495330.54077460573835696.7286752371315
Winsorized Mean ( 24 / 35 )52.30841121495330.54077460573835696.7286752371315
Winsorized Mean ( 25 / 35 )52.30841121495330.484900049137498107.874625519208
Winsorized Mean ( 26 / 35 )52.30841121495330.484900049137498107.874625519208
Winsorized Mean ( 27 / 35 )52.30841121495330.484900049137498107.874625519208
Winsorized Mean ( 28 / 35 )52.30841121495330.484900049137498107.874625519208
Winsorized Mean ( 29 / 35 )52.30841121495330.484900049137498107.874625519208
Winsorized Mean ( 30 / 35 )52.5887850467290.45128654253335116.530807126478
Winsorized Mean ( 31 / 35 )52.5887850467290.45128654253335116.530807126478
Winsorized Mean ( 32 / 35 )52.28971962616820.418453152754251124.959554688496
Winsorized Mean ( 33 / 35 )52.28971962616820.418453152754251124.959554688496
Winsorized Mean ( 34 / 35 )52.28971962616820.418453152754251124.959554688496
Winsorized Mean ( 35 / 35 )52.61682242990650.380174546176371138.401749825451
Trimmed Mean ( 1 / 35 )52.26168224299070.85082326411386461.4248392672025
Trimmed Mean ( 2 / 35 )52.27619047619050.8150533878962264.1383635139822
Trimmed Mean ( 3 / 35 )52.27722772277230.7870384156438966.4227141695534
Trimmed Mean ( 4 / 35 )52.27722772277230.76944863816230267.941153093243
Trimmed Mean ( 5 / 35 )52.27835051546390.75182228047444369.5355164021919
Trimmed Mean ( 6 / 35 )52.29473684210530.73633481177406971.0203239150276
Trimmed Mean ( 7 / 35 )52.29473684210530.7208835175610672.5425614099657
Trimmed Mean ( 8 / 35 )52.32258064516130.70584854505186874.1272062001863
Trimmed Mean ( 9 / 35 )52.34831460674160.69123749586399975.7313006310658
Trimmed Mean ( 10 / 35 )52.35632183908050.67943736088827577.0583498243774
Trimmed Mean ( 11 / 35 )52.36470588235290.66586374453119278.64177365479
Trimmed Mean ( 12 / 35 )52.37349397590360.65021320298568880.5481859417986
Trimmed Mean ( 13 / 35 )52.38271604938270.63769644788119982.143653494431
Trimmed Mean ( 14 / 35 )52.38271604938270.62598284874989583.6807528416991
Trimmed Mean ( 15 / 35 )52.3797468354430.61513043817207685.1522597241244
Trimmed Mean ( 16 / 35 )52.38961038961040.60239761194985186.968489499875
Trimmed Mean ( 17 / 35 )52.41095890410960.59354583454106588.3014518072294
Trimmed Mean ( 18 / 35 )52.42253521126760.5830130478955889.9165728802981
Trimmed Mean ( 19 / 35 )52.44927536231880.5734745627483291.4587651646847
Trimmed Mean ( 20 / 35 )52.47761194029850.56201091464862293.3747202634104
Trimmed Mean ( 21 / 35 )52.49230769230770.55214750194610695.069356480456
Trimmed Mean ( 22 / 35 )52.52380952380950.54347931037671496.643622895971
Trimmed Mean ( 23 / 35 )52.54098360655740.5369280006335897.8548027753415
Trimmed Mean ( 24 / 35 )52.55932203389830.52870340083579599.41173435013
Trimmed Mean ( 25 / 35 )52.57894736842110.518424551213975101.420635356290
Trimmed Mean ( 26 / 35 )52.60.514176141392329102.299573561631
Trimmed Mean ( 27 / 35 )52.60.508438526462962103.45400134392
Trimmed Mean ( 28 / 35 )52.6226415094340.500841276106876105.068499781964
Trimmed Mean ( 29 / 35 )52.64705882352940.49089304561139107.24751408519
Trimmed Mean ( 30 / 35 )52.67346938775510.47792615287439110.212569600892
Trimmed Mean ( 31 / 35 )52.70212765957450.467771659548750112.666354585088
Trimmed Mean ( 32 / 35 )52.71111111111110.454247313366051116.040556674981
Trimmed Mean ( 33 / 35 )52.75609756097560.442802174357472119.141460038057
Trimmed Mean ( 34 / 35 )52.79487179487180.427116445167008123.607677466571
Trimmed Mean ( 35 / 35 )52.83783783783780.405505493150519130.301164177386
Median53
Midrange51.5
Midmean - Weighted Average at Xnp52.5789473684211
Midmean - Weighted Average at X(n+1)p52.5789473684211
Midmean - Empirical Distribution Function52.5789473684211
Midmean - Empirical Distribution Function - Averaging52.5789473684211
Midmean - Empirical Distribution Function - Interpolation52.5789473684211
Midmean - Closest Observation52.5789473684211
Midmean - True Basic - Statistics Graphics Toolkit52.5789473684211
Midmean - MS Excel (old versions)52.5789473684211
Number of observations107
 
Charts produced by software:
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2009/Mar/18/t1237391580oy5j5dfvxe4g7d2/1r1rm1237391520.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2009/Mar/18/t1237391580oy5j5dfvxe4g7d2/1r1rm1237391520.ps (open in new window)


http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2009/Mar/18/t1237391580oy5j5dfvxe4g7d2/2o4b31237391520.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2009/Mar/18/t1237391580oy5j5dfvxe4g7d2/2o4b31237391520.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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