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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_harrell_davis.wasp
Title produced by softwareHarrell-Davis Quantiles
Date of computationWed, 10 Aug 2016 16:58:36 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Aug/10/t1470844852sea4jo4u1mcij4f.htm/, Retrieved Wed, 13 May 2026 17:42:03 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=296218, Retrieved Wed, 13 May 2026 17:42:03 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact347

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] [Harrel-Davis quan...] [2016-08-10 15:58:36] [d7adcc7732e5b057da1b42af54844e1a] [Current]
- R P     [Harrell-Davis Quantiles] [Harrel-Davis deci...] [2016-08-11 23:39:17] [4c392b130fccc63297597dd6ffb6df17]
-   P       [Harrell-Davis Quantiles] [Harrel-Davis perc...] [2016-08-11 23:42:15] [4c392b130fccc63297597dd6ffb6df17]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
77
85
85
78
89
87
80
83
88
86
81
94
79
85
83
81
90
85
83
89
94
80
82
91
80
86
87
87
91
88
77
79
99
78
88
91
76
81
88
88
91
91
79
79
97
77
86
93
74
74
88
86
94
88
81
75
100
76
86
91
79
71
87
86
98
83
76
74
99
72
83
89
79
65
91
85
94
78
79
76
105
76
84
93
79
65
91
82
94
73
81
77
105
74
82
93
83
66
86
83
93
72
78
79
105
72
82
92

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'George Udny Yule' @ yule.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 1 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=296218&T=0

[TABLE]
[ROW][C]Summary of computational 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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=296218&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=296218&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 computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'George Udny Yule' @ yule.wessa.net






Harrell-Davis Quantiles
quantilesvaluestandard error
0.0165.45785133106651.17581151287201
0.0368.49363909246732.84893118596692
0.0571.38938116501241.6510163228063
0.0772.8827130642941.14389550151757
0.0973.85754065508961.08743281374456
0.1174.68390470860861.07048429476111
0.1375.41408664619541.00611956280981
0.1576.04794728532280.916961467526504
0.1776.60671031167470.887754911929215
0.1977.12774507359180.897769075247577
0.2177.62442545111050.881803947696419
0.2378.08200781283630.811887082900974
0.2578.48286183070630.71204376415386
0.2778.8311368373050.647384898951306
0.2979.15911694606110.677867716374761
0.3179.50997307088210.795109502675034
0.3379.91103514067730.931791619099766
0.3580.3610560068961.02794789722892
0.3780.83933011060371.06713036435789
0.3981.32331160164531.06562878427181
0.4181.79947069410171.04737645561974
0.4382.26541732973321.03396081480865
0.4582.72854688460541.04618671551882
0.4783.20186820424661.09254920557037
0.4983.69472909363011.1495258814621
0.5184.20268256294131.17217194376806
0.5384.70641307516491.13145734180933
0.5585.18330238780741.04033529956251
0.5785.62276252498810.944048670339523
0.5986.03230663241630.886165420822056
0.6186.42966509964020.874711907469667
0.6386.82882972967160.882341553931969
0.6587.23384224976950.882270442958577
0.6787.64718565977340.885796667045166
0.6988.08335209377240.936134546461238
0.7188.56792213903091.04845221846585
0.7389.11425511836741.16118131981238
0.7589.69899515397781.1784806427344
0.7790.2718604548851.07284048542996
0.7990.80402291882860.941185054237698
0.8191.32397372123690.920286210925575
0.8391.88705809888651.00026885875446
0.8592.50958505840831.03863429311895
0.8793.17124673074081.00102861824752
0.8993.9316081195141.10920179116194
0.9195.02673806657991.6137522293811
0.9396.68764491330292.13847560855176
0.9598.98629533973532.37754247949836
0.97102.1350395016322.80688868557539
0.99104.6920317061140.883370058037571

\begin{tabular}{lllllllll}
\hline
Harrell-Davis Quantiles \tabularnewline
quantiles & value & standard error \tabularnewline
0.01 & 65.4578513310665 & 1.17581151287201 \tabularnewline
0.03 & 68.4936390924673 & 2.84893118596692 \tabularnewline
0.05 & 71.3893811650124 & 1.6510163228063 \tabularnewline
0.07 & 72.882713064294 & 1.14389550151757 \tabularnewline
0.09 & 73.8575406550896 & 1.08743281374456 \tabularnewline
0.11 & 74.6839047086086 & 1.07048429476111 \tabularnewline
0.13 & 75.4140866461954 & 1.00611956280981 \tabularnewline
0.15 & 76.0479472853228 & 0.916961467526504 \tabularnewline
0.17 & 76.6067103116747 & 0.887754911929215 \tabularnewline
0.19 & 77.1277450735918 & 0.897769075247577 \tabularnewline
0.21 & 77.6244254511105 & 0.881803947696419 \tabularnewline
0.23 & 78.0820078128363 & 0.811887082900974 \tabularnewline
0.25 & 78.4828618307063 & 0.71204376415386 \tabularnewline
0.27 & 78.831136837305 & 0.647384898951306 \tabularnewline
0.29 & 79.1591169460611 & 0.677867716374761 \tabularnewline
0.31 & 79.5099730708821 & 0.795109502675034 \tabularnewline
0.33 & 79.9110351406773 & 0.931791619099766 \tabularnewline
0.35 & 80.361056006896 & 1.02794789722892 \tabularnewline
0.37 & 80.8393301106037 & 1.06713036435789 \tabularnewline
0.39 & 81.3233116016453 & 1.06562878427181 \tabularnewline
0.41 & 81.7994706941017 & 1.04737645561974 \tabularnewline
0.43 & 82.2654173297332 & 1.03396081480865 \tabularnewline
0.45 & 82.7285468846054 & 1.04618671551882 \tabularnewline
0.47 & 83.2018682042466 & 1.09254920557037 \tabularnewline
0.49 & 83.6947290936301 & 1.1495258814621 \tabularnewline
0.51 & 84.2026825629413 & 1.17217194376806 \tabularnewline
0.53 & 84.7064130751649 & 1.13145734180933 \tabularnewline
0.55 & 85.1833023878074 & 1.04033529956251 \tabularnewline
0.57 & 85.6227625249881 & 0.944048670339523 \tabularnewline
0.59 & 86.0323066324163 & 0.886165420822056 \tabularnewline
0.61 & 86.4296650996402 & 0.874711907469667 \tabularnewline
0.63 & 86.8288297296716 & 0.882341553931969 \tabularnewline
0.65 & 87.2338422497695 & 0.882270442958577 \tabularnewline
0.67 & 87.6471856597734 & 0.885796667045166 \tabularnewline
0.69 & 88.0833520937724 & 0.936134546461238 \tabularnewline
0.71 & 88.5679221390309 & 1.04845221846585 \tabularnewline
0.73 & 89.1142551183674 & 1.16118131981238 \tabularnewline
0.75 & 89.6989951539778 & 1.1784806427344 \tabularnewline
0.77 & 90.271860454885 & 1.07284048542996 \tabularnewline
0.79 & 90.8040229188286 & 0.941185054237698 \tabularnewline
0.81 & 91.3239737212369 & 0.920286210925575 \tabularnewline
0.83 & 91.8870580988865 & 1.00026885875446 \tabularnewline
0.85 & 92.5095850584083 & 1.03863429311895 \tabularnewline
0.87 & 93.1712467307408 & 1.00102861824752 \tabularnewline
0.89 & 93.931608119514 & 1.10920179116194 \tabularnewline
0.91 & 95.0267380665799 & 1.6137522293811 \tabularnewline
0.93 & 96.6876449133029 & 2.13847560855176 \tabularnewline
0.95 & 98.9862953397353 & 2.37754247949836 \tabularnewline
0.97 & 102.135039501632 & 2.80688868557539 \tabularnewline
0.99 & 104.692031706114 & 0.883370058037571 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=296218&T=1

[TABLE]
[ROW][C]Harrell-Davis Quantiles[/C][/ROW]
[ROW][C]quantiles[/C][C]value[/C][C]standard error[/C][/ROW]
[ROW][C]0.01[/C][C]65.4578513310665[/C][C]1.17581151287201[/C][/ROW]
[ROW][C]0.03[/C][C]68.4936390924673[/C][C]2.84893118596692[/C][/ROW]
[ROW][C]0.05[/C][C]71.3893811650124[/C][C]1.6510163228063[/C][/ROW]
[ROW][C]0.07[/C][C]72.882713064294[/C][C]1.14389550151757[/C][/ROW]
[ROW][C]0.09[/C][C]73.8575406550896[/C][C]1.08743281374456[/C][/ROW]
[ROW][C]0.11[/C][C]74.6839047086086[/C][C]1.07048429476111[/C][/ROW]
[ROW][C]0.13[/C][C]75.4140866461954[/C][C]1.00611956280981[/C][/ROW]
[ROW][C]0.15[/C][C]76.0479472853228[/C][C]0.916961467526504[/C][/ROW]
[ROW][C]0.17[/C][C]76.6067103116747[/C][C]0.887754911929215[/C][/ROW]
[ROW][C]0.19[/C][C]77.1277450735918[/C][C]0.897769075247577[/C][/ROW]
[ROW][C]0.21[/C][C]77.6244254511105[/C][C]0.881803947696419[/C][/ROW]
[ROW][C]0.23[/C][C]78.0820078128363[/C][C]0.811887082900974[/C][/ROW]
[ROW][C]0.25[/C][C]78.4828618307063[/C][C]0.71204376415386[/C][/ROW]
[ROW][C]0.27[/C][C]78.831136837305[/C][C]0.647384898951306[/C][/ROW]
[ROW][C]0.29[/C][C]79.1591169460611[/C][C]0.677867716374761[/C][/ROW]
[ROW][C]0.31[/C][C]79.5099730708821[/C][C]0.795109502675034[/C][/ROW]
[ROW][C]0.33[/C][C]79.9110351406773[/C][C]0.931791619099766[/C][/ROW]
[ROW][C]0.35[/C][C]80.361056006896[/C][C]1.02794789722892[/C][/ROW]
[ROW][C]0.37[/C][C]80.8393301106037[/C][C]1.06713036435789[/C][/ROW]
[ROW][C]0.39[/C][C]81.3233116016453[/C][C]1.06562878427181[/C][/ROW]
[ROW][C]0.41[/C][C]81.7994706941017[/C][C]1.04737645561974[/C][/ROW]
[ROW][C]0.43[/C][C]82.2654173297332[/C][C]1.03396081480865[/C][/ROW]
[ROW][C]0.45[/C][C]82.7285468846054[/C][C]1.04618671551882[/C][/ROW]
[ROW][C]0.47[/C][C]83.2018682042466[/C][C]1.09254920557037[/C][/ROW]
[ROW][C]0.49[/C][C]83.6947290936301[/C][C]1.1495258814621[/C][/ROW]
[ROW][C]0.51[/C][C]84.2026825629413[/C][C]1.17217194376806[/C][/ROW]
[ROW][C]0.53[/C][C]84.7064130751649[/C][C]1.13145734180933[/C][/ROW]
[ROW][C]0.55[/C][C]85.1833023878074[/C][C]1.04033529956251[/C][/ROW]
[ROW][C]0.57[/C][C]85.6227625249881[/C][C]0.944048670339523[/C][/ROW]
[ROW][C]0.59[/C][C]86.0323066324163[/C][C]0.886165420822056[/C][/ROW]
[ROW][C]0.61[/C][C]86.4296650996402[/C][C]0.874711907469667[/C][/ROW]
[ROW][C]0.63[/C][C]86.8288297296716[/C][C]0.882341553931969[/C][/ROW]
[ROW][C]0.65[/C][C]87.2338422497695[/C][C]0.882270442958577[/C][/ROW]
[ROW][C]0.67[/C][C]87.6471856597734[/C][C]0.885796667045166[/C][/ROW]
[ROW][C]0.69[/C][C]88.0833520937724[/C][C]0.936134546461238[/C][/ROW]
[ROW][C]0.71[/C][C]88.5679221390309[/C][C]1.04845221846585[/C][/ROW]
[ROW][C]0.73[/C][C]89.1142551183674[/C][C]1.16118131981238[/C][/ROW]
[ROW][C]0.75[/C][C]89.6989951539778[/C][C]1.1784806427344[/C][/ROW]
[ROW][C]0.77[/C][C]90.271860454885[/C][C]1.07284048542996[/C][/ROW]
[ROW][C]0.79[/C][C]90.8040229188286[/C][C]0.941185054237698[/C][/ROW]
[ROW][C]0.81[/C][C]91.3239737212369[/C][C]0.920286210925575[/C][/ROW]
[ROW][C]0.83[/C][C]91.8870580988865[/C][C]1.00026885875446[/C][/ROW]
[ROW][C]0.85[/C][C]92.5095850584083[/C][C]1.03863429311895[/C][/ROW]
[ROW][C]0.87[/C][C]93.1712467307408[/C][C]1.00102861824752[/C][/ROW]
[ROW][C]0.89[/C][C]93.931608119514[/C][C]1.10920179116194[/C][/ROW]
[ROW][C]0.91[/C][C]95.0267380665799[/C][C]1.6137522293811[/C][/ROW]
[ROW][C]0.93[/C][C]96.6876449133029[/C][C]2.13847560855176[/C][/ROW]
[ROW][C]0.95[/C][C]98.9862953397353[/C][C]2.37754247949836[/C][/ROW]
[ROW][C]0.97[/C][C]102.135039501632[/C][C]2.80688868557539[/C][/ROW]
[ROW][C]0.99[/C][C]104.692031706114[/C][C]0.883370058037571[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=296218&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=296218&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
0.0165.45785133106651.17581151287201
0.0368.49363909246732.84893118596692
0.0571.38938116501241.6510163228063
0.0772.8827130642941.14389550151757
0.0973.85754065508961.08743281374456
0.1174.68390470860861.07048429476111
0.1375.41408664619541.00611956280981
0.1576.04794728532280.916961467526504
0.1776.60671031167470.887754911929215
0.1977.12774507359180.897769075247577
0.2177.62442545111050.881803947696419
0.2378.08200781283630.811887082900974
0.2578.48286183070630.71204376415386
0.2778.8311368373050.647384898951306
0.2979.15911694606110.677867716374761
0.3179.50997307088210.795109502675034
0.3379.91103514067730.931791619099766
0.3580.3610560068961.02794789722892
0.3780.83933011060371.06713036435789
0.3981.32331160164531.06562878427181
0.4181.79947069410171.04737645561974
0.4382.26541732973321.03396081480865
0.4582.72854688460541.04618671551882
0.4783.20186820424661.09254920557037
0.4983.69472909363011.1495258814621
0.5184.20268256294131.17217194376806
0.5384.70641307516491.13145734180933
0.5585.18330238780741.04033529956251
0.5785.62276252498810.944048670339523
0.5986.03230663241630.886165420822056
0.6186.42966509964020.874711907469667
0.6386.82882972967160.882341553931969
0.6587.23384224976950.882270442958577
0.6787.64718565977340.885796667045166
0.6988.08335209377240.936134546461238
0.7188.56792213903091.04845221846585
0.7389.11425511836741.16118131981238
0.7589.69899515397781.1784806427344
0.7790.2718604548851.07284048542996
0.7990.80402291882860.941185054237698
0.8191.32397372123690.920286210925575
0.8391.88705809888651.00026885875446
0.8592.50958505840831.03863429311895
0.8793.17124673074081.00102861824752
0.8993.9316081195141.10920179116194
0.9195.02673806657991.6137522293811
0.9396.68764491330292.13847560855176
0.9598.98629533973532.37754247949836
0.97102.1350395016322.80688868557539
0.99104.6920317061140.883370058037571


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.01 ; par2 = 0.99 ; par3 = 0.02 ;
Parameters (R input):
par1 = 0.01 ; par2 = 0.99 ; par3 = 0.02 ;
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')