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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_harrell_davies.wasp
Title produced by softwareHarrell-Davis Quantiles
Date of computationThu, 13 Dec 2007 07:47:42 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2007/Dec/13/t11975564695aljef9ou03s14p.htm/, Retrieved Thu, 23 Apr 2026 16:38:25 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=3584, Retrieved Thu, 23 Apr 2026 16:38:25 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact439

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Harrell-Davis Quantiles] [PAPER, TIM, GIEL,...] [2007-12-13 14:47:42] [5ac545ffb613273067e3916533dda4e8] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
513
503
471
471
476
475
470
461
455
456
517
525
523
519
509
512
519
517
510
509
501
507
569
580
578
565
547
555
562
561
555
544
537
543
594
611
613
611
594
595
591
589
584
573
567
569
621
629
628
612
595
597
593
590
580
574
573
573
620
626
620
588
566
557
561
549
532
526
511
499
555
565
542

Tables (Output of Computation)





Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\begin{tabular}{lllllllll}
\hline
Summary of compuational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=3584&T=0

[TABLE]
[ROW][C]Summary of compuational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=3584&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=3584&T=0

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Harrell-Davis Quantiles
quantilesvaluestandard error
0455NA
0.025459.1183327840375.54452679016996
0.05466.766115076957.0030669078616
0.075474.5266981332339.38476676579484
0.1483.29873537228612.9332966145362
0.125492.70668970511812.8426453977637
0.15500.6254763135759.67700164637277
0.175506.1265273067266.57945926299801
0.2509.8551435295425.11943877783453
0.225512.8474918651755.11015139899004
0.25515.8364598234415.91636689016525
0.275519.2168647588867.18001027968083
0.3523.1781192113978.67513291933488
0.325527.74723999364510.0429327895429
0.35532.77047187569810.8643925801965
0.375537.95189770395210.9300970243103
0.4542.97344907735110.3566037913064
0.425547.6104450821329.4362613235489
0.45551.7679013700138.42700951427071
0.475555.4487462624697.47573870741391
0.5558.7081020672156.65045105147674
0.525561.6258901902175.99520794820694
0.55564.2974445058595.5413328182131
0.575566.8307632631785.32047910834964
0.6569.3435035657155.34470175436944
0.625571.9572563174335.60873145249937
0.65574.7811422616266.06162196999987
0.675577.8725649845576.54244138696316
0.7581.1848002458556.78209904023505
0.725584.5507713064746.54808771098269
0.75587.7596431382815.86273772433522
0.775590.7302875931655.13143832353345
0.8593.6939962192245.08158377263773
0.825597.1880708689916.17679900810367
0.85601.6674129718317.64828221458496
0.875606.9795120981698.03794302992557
0.9612.4256007822496.98947497661642
0.925617.469003589965.46061275639953
0.95622.2056535893984.36957903395938
0.975626.6126018570123.00234262870746
1629NA

\begin{tabular}{lllllllll}
\hline
Harrell-Davis Quantiles \tabularnewline
quantiles & value & standard error \tabularnewline
0 & 455 & NA \tabularnewline
0.025 & 459.118332784037 & 5.54452679016996 \tabularnewline
0.05 & 466.76611507695 & 7.0030669078616 \tabularnewline
0.075 & 474.526698133233 & 9.38476676579484 \tabularnewline
0.1 & 483.298735372286 & 12.9332966145362 \tabularnewline
0.125 & 492.706689705118 & 12.8426453977637 \tabularnewline
0.15 & 500.625476313575 & 9.67700164637277 \tabularnewline
0.175 & 506.126527306726 & 6.57945926299801 \tabularnewline
0.2 & 509.855143529542 & 5.11943877783453 \tabularnewline
0.225 & 512.847491865175 & 5.11015139899004 \tabularnewline
0.25 & 515.836459823441 & 5.91636689016525 \tabularnewline
0.275 & 519.216864758886 & 7.18001027968083 \tabularnewline
0.3 & 523.178119211397 & 8.67513291933488 \tabularnewline
0.325 & 527.747239993645 & 10.0429327895429 \tabularnewline
0.35 & 532.770471875698 & 10.8643925801965 \tabularnewline
0.375 & 537.951897703952 & 10.9300970243103 \tabularnewline
0.4 & 542.973449077351 & 10.3566037913064 \tabularnewline
0.425 & 547.610445082132 & 9.4362613235489 \tabularnewline
0.45 & 551.767901370013 & 8.42700951427071 \tabularnewline
0.475 & 555.448746262469 & 7.47573870741391 \tabularnewline
0.5 & 558.708102067215 & 6.65045105147674 \tabularnewline
0.525 & 561.625890190217 & 5.99520794820694 \tabularnewline
0.55 & 564.297444505859 & 5.5413328182131 \tabularnewline
0.575 & 566.830763263178 & 5.32047910834964 \tabularnewline
0.6 & 569.343503565715 & 5.34470175436944 \tabularnewline
0.625 & 571.957256317433 & 5.60873145249937 \tabularnewline
0.65 & 574.781142261626 & 6.06162196999987 \tabularnewline
0.675 & 577.872564984557 & 6.54244138696316 \tabularnewline
0.7 & 581.184800245855 & 6.78209904023505 \tabularnewline
0.725 & 584.550771306474 & 6.54808771098269 \tabularnewline
0.75 & 587.759643138281 & 5.86273772433522 \tabularnewline
0.775 & 590.730287593165 & 5.13143832353345 \tabularnewline
0.8 & 593.693996219224 & 5.08158377263773 \tabularnewline
0.825 & 597.188070868991 & 6.17679900810367 \tabularnewline
0.85 & 601.667412971831 & 7.64828221458496 \tabularnewline
0.875 & 606.979512098169 & 8.03794302992557 \tabularnewline
0.9 & 612.425600782249 & 6.98947497661642 \tabularnewline
0.925 & 617.46900358996 & 5.46061275639953 \tabularnewline
0.95 & 622.205653589398 & 4.36957903395938 \tabularnewline
0.975 & 626.612601857012 & 3.00234262870746 \tabularnewline
1 & 629 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=3584&T=1

[TABLE]
[ROW][C]Harrell-Davis Quantiles[/C][/ROW]
[ROW][C]quantiles[/C][C]value[/C][C]standard error[/C][/ROW]
[ROW][C]0[/C][C]455[/C][C]NA[/C][/ROW]
[ROW][C]0.025[/C][C]459.118332784037[/C][C]5.54452679016996[/C][/ROW]
[ROW][C]0.05[/C][C]466.76611507695[/C][C]7.0030669078616[/C][/ROW]
[ROW][C]0.075[/C][C]474.526698133233[/C][C]9.38476676579484[/C][/ROW]
[ROW][C]0.1[/C][C]483.298735372286[/C][C]12.9332966145362[/C][/ROW]
[ROW][C]0.125[/C][C]492.706689705118[/C][C]12.8426453977637[/C][/ROW]
[ROW][C]0.15[/C][C]500.625476313575[/C][C]9.67700164637277[/C][/ROW]
[ROW][C]0.175[/C][C]506.126527306726[/C][C]6.57945926299801[/C][/ROW]
[ROW][C]0.2[/C][C]509.855143529542[/C][C]5.11943877783453[/C][/ROW]
[ROW][C]0.225[/C][C]512.847491865175[/C][C]5.11015139899004[/C][/ROW]
[ROW][C]0.25[/C][C]515.836459823441[/C][C]5.91636689016525[/C][/ROW]
[ROW][C]0.275[/C][C]519.216864758886[/C][C]7.18001027968083[/C][/ROW]
[ROW][C]0.3[/C][C]523.178119211397[/C][C]8.67513291933488[/C][/ROW]
[ROW][C]0.325[/C][C]527.747239993645[/C][C]10.0429327895429[/C][/ROW]
[ROW][C]0.35[/C][C]532.770471875698[/C][C]10.8643925801965[/C][/ROW]
[ROW][C]0.375[/C][C]537.951897703952[/C][C]10.9300970243103[/C][/ROW]
[ROW][C]0.4[/C][C]542.973449077351[/C][C]10.3566037913064[/C][/ROW]
[ROW][C]0.425[/C][C]547.610445082132[/C][C]9.4362613235489[/C][/ROW]
[ROW][C]0.45[/C][C]551.767901370013[/C][C]8.42700951427071[/C][/ROW]
[ROW][C]0.475[/C][C]555.448746262469[/C][C]7.47573870741391[/C][/ROW]
[ROW][C]0.5[/C][C]558.708102067215[/C][C]6.65045105147674[/C][/ROW]
[ROW][C]0.525[/C][C]561.625890190217[/C][C]5.99520794820694[/C][/ROW]
[ROW][C]0.55[/C][C]564.297444505859[/C][C]5.5413328182131[/C][/ROW]
[ROW][C]0.575[/C][C]566.830763263178[/C][C]5.32047910834964[/C][/ROW]
[ROW][C]0.6[/C][C]569.343503565715[/C][C]5.34470175436944[/C][/ROW]
[ROW][C]0.625[/C][C]571.957256317433[/C][C]5.60873145249937[/C][/ROW]
[ROW][C]0.65[/C][C]574.781142261626[/C][C]6.06162196999987[/C][/ROW]
[ROW][C]0.675[/C][C]577.872564984557[/C][C]6.54244138696316[/C][/ROW]
[ROW][C]0.7[/C][C]581.184800245855[/C][C]6.78209904023505[/C][/ROW]
[ROW][C]0.725[/C][C]584.550771306474[/C][C]6.54808771098269[/C][/ROW]
[ROW][C]0.75[/C][C]587.759643138281[/C][C]5.86273772433522[/C][/ROW]
[ROW][C]0.775[/C][C]590.730287593165[/C][C]5.13143832353345[/C][/ROW]
[ROW][C]0.8[/C][C]593.693996219224[/C][C]5.08158377263773[/C][/ROW]
[ROW][C]0.825[/C][C]597.188070868991[/C][C]6.17679900810367[/C][/ROW]
[ROW][C]0.85[/C][C]601.667412971831[/C][C]7.64828221458496[/C][/ROW]
[ROW][C]0.875[/C][C]606.979512098169[/C][C]8.03794302992557[/C][/ROW]
[ROW][C]0.9[/C][C]612.425600782249[/C][C]6.98947497661642[/C][/ROW]
[ROW][C]0.925[/C][C]617.46900358996[/C][C]5.46061275639953[/C][/ROW]
[ROW][C]0.95[/C][C]622.205653589398[/C][C]4.36957903395938[/C][/ROW]
[ROW][C]0.975[/C][C]626.612601857012[/C][C]3.00234262870746[/C][/ROW]
[ROW][C]1[/C][C]629[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=3584&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=3584&T=1

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Harrell-Davis Quantiles
quantilesvaluestandard error
0455NA
0.025459.1183327840375.54452679016996
0.05466.766115076957.0030669078616
0.075474.5266981332339.38476676579484
0.1483.29873537228612.9332966145362
0.125492.70668970511812.8426453977637
0.15500.6254763135759.67700164637277
0.175506.1265273067266.57945926299801
0.2509.8551435295425.11943877783453
0.225512.8474918651755.11015139899004
0.25515.8364598234415.91636689016525
0.275519.2168647588867.18001027968083
0.3523.1781192113978.67513291933488
0.325527.74723999364510.0429327895429
0.35532.77047187569810.8643925801965
0.375537.95189770395210.9300970243103
0.4542.97344907735110.3566037913064
0.425547.6104450821329.4362613235489
0.45551.7679013700138.42700951427071
0.475555.4487462624697.47573870741391
0.5558.7081020672156.65045105147674
0.525561.6258901902175.99520794820694
0.55564.2974445058595.5413328182131
0.575566.8307632631785.32047910834964
0.6569.3435035657155.34470175436944
0.625571.9572563174335.60873145249937
0.65574.7811422616266.06162196999987
0.675577.8725649845576.54244138696316
0.7581.1848002458556.78209904023505
0.725584.5507713064746.54808771098269
0.75587.7596431382815.86273772433522
0.775590.7302875931655.13143832353345
0.8593.6939962192245.08158377263773
0.825597.1880708689916.17679900810367
0.85601.6674129718317.64828221458496
0.875606.9795120981698.03794302992557
0.9612.4256007822496.98947497661642
0.925617.469003589965.46061275639953
0.95622.2056535893984.36957903395938
0.975626.6126018570123.00234262870746
1629NA


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0 ; par2 = 1 ; par3 = 0.025 ;
Parameters (R input):
par1 = 0 ; par2 = 1 ; par3 = 0.025 ;
R code (references can be found in the software module):
par1 <- as(par1,'numeric')
par2 <- as(par2,'numeric')
par3 <- as(par3,'numeric')
library(Hmisc)
myseq <- seq(par1, par2, par3)
hd <- hdquantile(x, probs = myseq, se = TRUE, na.rm = FALSE, names = TRUE, weights=FALSE)
bitmap(file='test1.png')
plot(myseq,hd,col=2,main=main,xlab=xlab,ylab=ylab)
grid()
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Harrell-Davis Quantiles',3,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'quantiles',header=TRUE)
a<-table.element(a,'value',header=TRUE)
a<-table.element(a,'standard error',header=TRUE)
a<-table.row.end(a)
length(hd)
for (i in 1:length(hd))
{
a<-table.row.start(a)
a<-table.element(a,as(labels(hd)[i],'numeric'),header=TRUE)
a<-table.element(a,as.matrix(hd[i])[1,1])
a<-table.element(a,as.matrix(attr(hd,'se')[i])[1,1])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')