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Central Tendency: bouwvergunningen niet-woongebouwen

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R Software Module: rwasp_centraltendency.wasp (opens new window with default values)

Title produced by software: Central Tendency

Date of computation: Mon, 20 Oct 2008 16:37:56 -0600

Cite this page as follows:

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2008/Oct/21/t12245423145cgbmdu4fxt12og.htm/, Retrieved Mon, 20 Oct 2008 22:38:36 +0000

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/2008/Oct/21/t12245423145cgbmdu4fxt12og.htm/},
    year = {2008},
}
@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 = {2008},
    note = {{ISBN} 3-900051-07-0},
    url = {http://www.R-project.org},
}

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

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords:

Dataseries X:

» Textbox « » Textfile « » CSV «

572 582 574 461 576 460 455 444 488 513 468 488 536 486 460 376 503 369 353 359 400 374 430 433 418 438 389 368 386 261 294 263 293 303 326 314 332 347 290 340 371 340 376 322 364 379 343 358 433 344 357 385 392 308 294 300 302 400 392 373 379 303 324 353 392 327 376 329 359 413 338 421 390 370 366 405 418 346 349 326 318 379 336 372 420 425 422 396 457 313 334 384 342 385 435 405 454

Output produced by software:

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	'George Udny Yule' @ 72.249.76.132

Central Tendency - Ungrouped Data
Measure	Value	S.E.	Value/S.E.
Arithmetic Mean	386.762886597938	7.02200721363861	55.0786797607871
Geometric Mean	381.010873303196
Harmonic Mean	375.576427197663
Quadratic Mean	392.834767604874
Winsorized Mean ( 1 / 32 )	386.721649484536	7.00051762733986	55.2418649692747
Winsorized Mean ( 2 / 32 )	387.237113402062	6.89669372072335	56.1482253791382
Winsorized Mean ( 3 / 32 )	387.268041237113	6.86585248146457	56.40494640434
Winsorized Mean ( 4 / 32 )	385.824742268041	6.47155436969331	59.6185584215876
Winsorized Mean ( 5 / 32 )	384.639175257732	6.20009605233715	62.0376155483496
Winsorized Mean ( 6 / 32 )	384.391752577320	6.01441846997766	63.9117072575011
Winsorized Mean ( 7 / 32 )	383.453608247423	5.77993516196282	66.3421989178863
Winsorized Mean ( 8 / 32 )	383.536082474227	5.76788384726413	66.4951120082192
Winsorized Mean ( 9 / 32 )	383.350515463918	5.73307387049344	66.8664880522327
Winsorized Mean ( 10 / 32 )	382.010309278351	5.32850192283921	71.6918779068023
Winsorized Mean ( 11 / 32 )	381.783505154639	5.11697840099137	74.6111230566602
Winsorized Mean ( 12 / 32 )	381.783505154639	5.07982302613297	75.1568515656092
Winsorized Mean ( 13 / 32 )	382.319587628866	5.00668681713033	76.361794055255
Winsorized Mean ( 14 / 32 )	382.463917525773	4.86106502195717	78.679037576787
Winsorized Mean ( 15 / 32 )	382.463917525773	4.77210586479479	80.1457319602484
Winsorized Mean ( 16 / 32 )	382.628865979381	4.70427712609811	81.3363787300403
Winsorized Mean ( 17 / 32 )	380.876288659794	4.43563789476737	85.8673087605067
Winsorized Mean ( 18 / 32 )	379.948453608247	4.24983249958030	89.4031596882394
Winsorized Mean ( 19 / 32 )	379.752577319588	4.11635512253376	92.254571341706
Winsorized Mean ( 20 / 32 )	379.958762886598	3.98035115848873	95.4586034642385
Winsorized Mean ( 21 / 32 )	380.391752577320	3.92653095487206	96.8773089908606
Winsorized Mean ( 22 / 32 )	380.164948453608	3.77672835460968	100.659860270225
Winsorized Mean ( 23 / 32 )	379.453608247423	3.5584835415763	106.633515039200
Winsorized Mean ( 24 / 32 )	379.20618556701	3.4005867363256	111.511987480358
Winsorized Mean ( 25 / 32 )	378.948453608247	3.36692814602099	112.550205164338
Winsorized Mean ( 26 / 32 )	379.216494845361	3.2679660305503	116.040525299311
Winsorized Mean ( 27 / 32 )	378.938144329897	3.16298442200097	119.803986922633
Winsorized Mean ( 28 / 32 )	379.226804123711	3.12897531186889	121.198400858332
Winsorized Mean ( 29 / 32 )	378.329896907216	2.86811785159329	131.908769612465
Winsorized Mean ( 30 / 32 )	376.164948453608	2.52809303311811	148.793950035
Winsorized Mean ( 31 / 32 )	376.80412371134	2.45192781188312	153.676679176761
Winsorized Mean ( 32 / 32 )	376.474226804124	2.10200019206799	179.102850810751
Trimmed Mean ( 1 / 32 )	386.031578947368	6.73591521479218	57.3094474377642
Trimmed Mean ( 2 / 32 )	385.311827956989	6.4314266558807	59.9107862957081
Trimmed Mean ( 3 / 32 )	384.285714285714	6.14358686070996	62.5507090561922
Trimmed Mean ( 4 / 32 )	383.202247191011	5.82172983287677	65.8227465360848
Trimmed Mean ( 5 / 32 )	382.471264367816	5.59355414053874	68.377145328029
Trimmed Mean ( 6 / 32 )	381.976470588235	5.41305032835532	70.5658450259216
Trimmed Mean ( 7 / 32 )	381.976470588235	5.25327860331397	72.7120146164092
Trimmed Mean ( 8 / 32 )	381.172839506173	5.12428224794678	74.3856058395111
Trimmed Mean ( 9 / 32 )	380.810126582278	4.97674161880375	76.5179621026444
Trimmed Mean ( 10 / 32 )	380.454545454545	4.81175172892384	79.0677838109563
Trimmed Mean ( 11 / 32 )	380.253333333333	4.69951476633908	80.9133181274267
Trimmed Mean ( 12 / 32 )	380.068493150685	4.60644148815947	82.508047508608
Trimmed Mean ( 13 / 32 )	379.873239436620	4.50289107118746	84.3620761486559
Trimmed Mean ( 14 / 32 )	379.873239436620	4.39227492587001	86.4866716787714
Trimmed Mean ( 15 / 32 )	379.313432835821	4.28529239034491	88.51518129555
Trimmed Mean ( 16 / 32 )	379	4.17207981706966	90.8419820851361
Trimmed Mean ( 17 / 32 )	378.650793650794	4.04684289216106	93.5669616392225
Trimmed Mean ( 18 / 32 )	378.44262295082	3.9436969556097	95.9613852713772
Trimmed Mean ( 19 / 32 )	378.305084745763	3.85022441885702	98.255333609376
Trimmed Mean ( 20 / 32 )	378.175438596491	3.75812593332272	100.628729666366
Trimmed Mean ( 21 / 32 )	378.018181818182	3.66726266130437	103.079112878085
Trimmed Mean ( 22 / 32 )	377.811320754717	3.56263228092186	106.048362829339
Trimmed Mean ( 23 / 32 )	377.607843137255	3.45878573631035	109.173528493866
Trimmed Mean ( 24 / 32 )	377.448979591837	3.36865569289698	112.047360728409
Trimmed Mean ( 25 / 32 )	377.448979591837	3.28297191877150	114.971735650142
Trimmed Mean ( 26 / 32 )	377.155555555556	3.17820156812495	118.669488851227
Trimmed Mean ( 27 / 32 )	376.976744186047	3.06147576442121	123.135629086816
Trimmed Mean ( 28 / 32 )	376.976744186047	2.93095745452539	128.618975210301
Trimmed Mean ( 29 / 32 )	376.589743589744	2.76295084405982	136.299834794162
Trimmed Mean ( 30 / 32 )	376.432432432432	2.60674239554420	144.407223773197
Trimmed Mean ( 31 / 32 )	376.432432432432	2.48840769753424	151.274420508118
Trimmed Mean ( 32 / 32 )	376.424242424242	2.34360441084392	160.617654021522
Median	376
Midrange	421.5
Midmean - Weighted Average at Xnp	376.520833333333
Midmean - Weighted Average at X(n+1)p	377.448979591837
Midmean - Empirical Distribution Function	377.448979591837
Midmean - Empirical Distribution Function - Averaging	377.448979591837
Midmean - Empirical Distribution Function - Interpolation	377.448979591837
Midmean - Closest Observation	376.66
Midmean - True Basic - Statistics Graphics Toolkit	377.448979591837
Midmean - MS Excel (old versions)	377.448979591837
Number of observations	97

Charts produced by software:

http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Oct/21/t12245423145cgbmdu4fxt12og/1p8yo1224542274.png (open in new window)

http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Oct/21/t12245423145cgbmdu4fxt12og/1p8yo1224542274.ps (open in new window)

http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Oct/21/t12245423145cgbmdu4fxt12og/2ghgy1224542274.png (open in new window)

http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Oct/21/t12245423145cgbmdu4fxt12og/2ghgy1224542274.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')

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

Software written by Ed van Stee & Patrick Wessa

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