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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_harrell_davies.wasp
Title produced by softwareHarrell-Davis Quantiles
Date of computationSun, 19 Oct 2008 13:50:40 -0600
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Oct/19/t1224445931qvrmomdoi3jedqs.htm/, Retrieved Sun, 26 Apr 2026 20:32:54 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=17088, Retrieved Sun, 26 Apr 2026 20:32:54 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsquantiles total production
Estimated Impact394

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Harrell-Davis Quantiles] [Q7 95% confidence...] [2007-10-20 15:02:46] [b731da8b544846036771bbf9bf2f34ce]
-   PD    [Harrell-Davis Quantiles] [Q7 Quantiles Tota...] [2008-10-19 19:50:40] [e4cb5a8878d0401c2e8d19a1768b515b] [Current]
F   P       [Harrell-Davis Quantiles] [Q7 Quantiles Tota...] [2008-10-20 18:41:53] [cf9c64468d04c2c4dd548cc66b4e3677]
-   PD        [Harrell-Davis Quantiles] [Q7 verbetering] [2008-10-24 14:18:44] [cf9c64468d04c2c4dd548cc66b4e3677]
F   PD      [Harrell-Davis Quantiles] [Task 2 nieuwe tij...] [2008-10-20 19:10:42] [cf9c64468d04c2c4dd548cc66b4e3677]
F RMPD      [Histogram] [Q8 Histogram verw...] [2008-10-20 20:41:22] [cf9c64468d04c2c4dd548cc66b4e3677]
F RMPD      [Histogram] [Q8 Histogram Verv...] [2008-10-20 20:48:57] [cf9c64468d04c2c4dd548cc66b4e3677]
F RMPD      [Histogram] [Q8 Histogram Verv...] [2008-10-20 20:54:46] [cf9c64468d04c2c4dd548cc66b4e3677]
F RMPD      [Histogram] [Q8 Histogram Hout...] [2008-10-20 21:24:59] [cf9c64468d04c2c4dd548cc66b4e3677]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
110,40
96,40
101,90
106,20
81,00
94,70
101,00
109,40
102,30
90,70
96,20
96,10
106,00
103,10
102,00
104,70
86,00
92,10
106,90
112,60
101,70
92,00
97,40
97,00
105,40
102,70
98,10
104,50
87,40
89,90
109,80
111,70
98,60
96,90
95,10
97,00
112,70
102,90
97,40
111,40
87,40
96,80
114,10
110,30
103,90
101,60
94,60
95,90
104,70
102,80
98,10
113,90
80,90
95,70
113,20
105,90
108,80
102,30
99,00
100,70
115,50

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'George Udny Yule' @ 72.249.76.132

\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 & 2 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=17088&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=17088&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=17088&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 time2 seconds
R Server'George Udny Yule' @ 72.249.76.132






Harrell-Davis Quantiles
quantilesvaluestandard error
0.2596.09057167959980.785073626549223
0.2696.24882465966360.742779105897026
0.2796.39689782824510.716473770504703
0.2896.53826996773640.705222756435214
0.2996.67612238524060.708321371852601
0.396.8134051839340.725863145593432
0.3196.95289279824480.757631267035342
0.3297.0972121460330.803733370396387
0.3397.2488340472450.863457010343252
0.3497.41002579897050.935974865502641
0.3597.5827693220771.01928040224009
0.3697.76865472461431.11066829961975
0.3797.96876322968161.20676723042785
0.3898.1835559989161.30352987709458
0.3998.41278623643781.39609462111666
0.498.655450860861.4799064365811
0.4198.9097948376061.55019328884897
0.4299.17337603087981.60276267595641
0.4399.4431915603761.63468311095571
0.4499.71585891918321.64395964084749
0.4599.98783763817411.63014570022074
0.46100.2556713123761.59454451451388
0.47100.5162264363251.53957734478817
0.48100.7669044056441.46940746580755
0.49101.0058062949071.38874726029972
0.5101.2318360290211.30308488044260
0.51101.4447352202561.21782368482867
0.52101.6450508883941.13804566234769
0.53101.8340442347561.06817998580570
0.54102.0135536798861.01178394562194
0.55102.1858281053760.970945191884134
0.56102.3533468051970.946911565615199
0.57102.5186415892410.939086954786012
0.58102.6841344921140.946079715310816
0.59102.8520022386930.965400807906307
0.6103.0240763527630.994073412489012
0.61103.2017855815981.02900294052284
0.62103.3861448904921.06697877893132
0.63103.5777922815831.10559942813071
0.64103.777070806531.14295643530945
0.65103.9841483051311.17812290404484
0.66104.1991618814471.21123633488894
0.67104.4223685589341.24338367631189
0.68104.6542788995931.27644399660694
0.69104.8957478412931.31309967036887
0.7105.1479979277841.35610783414605
0.71105.4125556916721.40751652046409
0.72105.6910929450901.46830742253326
0.73105.9851809211911.53768850677247
0.74106.2959849044251.61238509713008
0.75106.6239467151891.68749005542132

\begin{tabular}{lllllllll}
\hline
Harrell-Davis Quantiles \tabularnewline
quantiles & value & standard error \tabularnewline
0.25 & 96.0905716795998 & 0.785073626549223 \tabularnewline
0.26 & 96.2488246596636 & 0.742779105897026 \tabularnewline
0.27 & 96.3968978282451 & 0.716473770504703 \tabularnewline
0.28 & 96.5382699677364 & 0.705222756435214 \tabularnewline
0.29 & 96.6761223852406 & 0.708321371852601 \tabularnewline
0.3 & 96.813405183934 & 0.725863145593432 \tabularnewline
0.31 & 96.9528927982448 & 0.757631267035342 \tabularnewline
0.32 & 97.097212146033 & 0.803733370396387 \tabularnewline
0.33 & 97.248834047245 & 0.863457010343252 \tabularnewline
0.34 & 97.4100257989705 & 0.935974865502641 \tabularnewline
0.35 & 97.582769322077 & 1.01928040224009 \tabularnewline
0.36 & 97.7686547246143 & 1.11066829961975 \tabularnewline
0.37 & 97.9687632296816 & 1.20676723042785 \tabularnewline
0.38 & 98.183555998916 & 1.30352987709458 \tabularnewline
0.39 & 98.4127862364378 & 1.39609462111666 \tabularnewline
0.4 & 98.65545086086 & 1.4799064365811 \tabularnewline
0.41 & 98.909794837606 & 1.55019328884897 \tabularnewline
0.42 & 99.1733760308798 & 1.60276267595641 \tabularnewline
0.43 & 99.443191560376 & 1.63468311095571 \tabularnewline
0.44 & 99.7158589191832 & 1.64395964084749 \tabularnewline
0.45 & 99.9878376381741 & 1.63014570022074 \tabularnewline
0.46 & 100.255671312376 & 1.59454451451388 \tabularnewline
0.47 & 100.516226436325 & 1.53957734478817 \tabularnewline
0.48 & 100.766904405644 & 1.46940746580755 \tabularnewline
0.49 & 101.005806294907 & 1.38874726029972 \tabularnewline
0.5 & 101.231836029021 & 1.30308488044260 \tabularnewline
0.51 & 101.444735220256 & 1.21782368482867 \tabularnewline
0.52 & 101.645050888394 & 1.13804566234769 \tabularnewline
0.53 & 101.834044234756 & 1.06817998580570 \tabularnewline
0.54 & 102.013553679886 & 1.01178394562194 \tabularnewline
0.55 & 102.185828105376 & 0.970945191884134 \tabularnewline
0.56 & 102.353346805197 & 0.946911565615199 \tabularnewline
0.57 & 102.518641589241 & 0.939086954786012 \tabularnewline
0.58 & 102.684134492114 & 0.946079715310816 \tabularnewline
0.59 & 102.852002238693 & 0.965400807906307 \tabularnewline
0.6 & 103.024076352763 & 0.994073412489012 \tabularnewline
0.61 & 103.201785581598 & 1.02900294052284 \tabularnewline
0.62 & 103.386144890492 & 1.06697877893132 \tabularnewline
0.63 & 103.577792281583 & 1.10559942813071 \tabularnewline
0.64 & 103.77707080653 & 1.14295643530945 \tabularnewline
0.65 & 103.984148305131 & 1.17812290404484 \tabularnewline
0.66 & 104.199161881447 & 1.21123633488894 \tabularnewline
0.67 & 104.422368558934 & 1.24338367631189 \tabularnewline
0.68 & 104.654278899593 & 1.27644399660694 \tabularnewline
0.69 & 104.895747841293 & 1.31309967036887 \tabularnewline
0.7 & 105.147997927784 & 1.35610783414605 \tabularnewline
0.71 & 105.412555691672 & 1.40751652046409 \tabularnewline
0.72 & 105.691092945090 & 1.46830742253326 \tabularnewline
0.73 & 105.985180921191 & 1.53768850677247 \tabularnewline
0.74 & 106.295984904425 & 1.61238509713008 \tabularnewline
0.75 & 106.623946715189 & 1.68749005542132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=17088&T=1

[TABLE]
[ROW][C]Harrell-Davis Quantiles[/C][/ROW]
[ROW][C]quantiles[/C][C]value[/C][C]standard error[/C][/ROW]
[ROW][C]0.25[/C][C]96.0905716795998[/C][C]0.785073626549223[/C][/ROW]
[ROW][C]0.26[/C][C]96.2488246596636[/C][C]0.742779105897026[/C][/ROW]
[ROW][C]0.27[/C][C]96.3968978282451[/C][C]0.716473770504703[/C][/ROW]
[ROW][C]0.28[/C][C]96.5382699677364[/C][C]0.705222756435214[/C][/ROW]
[ROW][C]0.29[/C][C]96.6761223852406[/C][C]0.708321371852601[/C][/ROW]
[ROW][C]0.3[/C][C]96.813405183934[/C][C]0.725863145593432[/C][/ROW]
[ROW][C]0.31[/C][C]96.9528927982448[/C][C]0.757631267035342[/C][/ROW]
[ROW][C]0.32[/C][C]97.097212146033[/C][C]0.803733370396387[/C][/ROW]
[ROW][C]0.33[/C][C]97.248834047245[/C][C]0.863457010343252[/C][/ROW]
[ROW][C]0.34[/C][C]97.4100257989705[/C][C]0.935974865502641[/C][/ROW]
[ROW][C]0.35[/C][C]97.582769322077[/C][C]1.01928040224009[/C][/ROW]
[ROW][C]0.36[/C][C]97.7686547246143[/C][C]1.11066829961975[/C][/ROW]
[ROW][C]0.37[/C][C]97.9687632296816[/C][C]1.20676723042785[/C][/ROW]
[ROW][C]0.38[/C][C]98.183555998916[/C][C]1.30352987709458[/C][/ROW]
[ROW][C]0.39[/C][C]98.4127862364378[/C][C]1.39609462111666[/C][/ROW]
[ROW][C]0.4[/C][C]98.65545086086[/C][C]1.4799064365811[/C][/ROW]
[ROW][C]0.41[/C][C]98.909794837606[/C][C]1.55019328884897[/C][/ROW]
[ROW][C]0.42[/C][C]99.1733760308798[/C][C]1.60276267595641[/C][/ROW]
[ROW][C]0.43[/C][C]99.443191560376[/C][C]1.63468311095571[/C][/ROW]
[ROW][C]0.44[/C][C]99.7158589191832[/C][C]1.64395964084749[/C][/ROW]
[ROW][C]0.45[/C][C]99.9878376381741[/C][C]1.63014570022074[/C][/ROW]
[ROW][C]0.46[/C][C]100.255671312376[/C][C]1.59454451451388[/C][/ROW]
[ROW][C]0.47[/C][C]100.516226436325[/C][C]1.53957734478817[/C][/ROW]
[ROW][C]0.48[/C][C]100.766904405644[/C][C]1.46940746580755[/C][/ROW]
[ROW][C]0.49[/C][C]101.005806294907[/C][C]1.38874726029972[/C][/ROW]
[ROW][C]0.5[/C][C]101.231836029021[/C][C]1.30308488044260[/C][/ROW]
[ROW][C]0.51[/C][C]101.444735220256[/C][C]1.21782368482867[/C][/ROW]
[ROW][C]0.52[/C][C]101.645050888394[/C][C]1.13804566234769[/C][/ROW]
[ROW][C]0.53[/C][C]101.834044234756[/C][C]1.06817998580570[/C][/ROW]
[ROW][C]0.54[/C][C]102.013553679886[/C][C]1.01178394562194[/C][/ROW]
[ROW][C]0.55[/C][C]102.185828105376[/C][C]0.970945191884134[/C][/ROW]
[ROW][C]0.56[/C][C]102.353346805197[/C][C]0.946911565615199[/C][/ROW]
[ROW][C]0.57[/C][C]102.518641589241[/C][C]0.939086954786012[/C][/ROW]
[ROW][C]0.58[/C][C]102.684134492114[/C][C]0.946079715310816[/C][/ROW]
[ROW][C]0.59[/C][C]102.852002238693[/C][C]0.965400807906307[/C][/ROW]
[ROW][C]0.6[/C][C]103.024076352763[/C][C]0.994073412489012[/C][/ROW]
[ROW][C]0.61[/C][C]103.201785581598[/C][C]1.02900294052284[/C][/ROW]
[ROW][C]0.62[/C][C]103.386144890492[/C][C]1.06697877893132[/C][/ROW]
[ROW][C]0.63[/C][C]103.577792281583[/C][C]1.10559942813071[/C][/ROW]
[ROW][C]0.64[/C][C]103.77707080653[/C][C]1.14295643530945[/C][/ROW]
[ROW][C]0.65[/C][C]103.984148305131[/C][C]1.17812290404484[/C][/ROW]
[ROW][C]0.66[/C][C]104.199161881447[/C][C]1.21123633488894[/C][/ROW]
[ROW][C]0.67[/C][C]104.422368558934[/C][C]1.24338367631189[/C][/ROW]
[ROW][C]0.68[/C][C]104.654278899593[/C][C]1.27644399660694[/C][/ROW]
[ROW][C]0.69[/C][C]104.895747841293[/C][C]1.31309967036887[/C][/ROW]
[ROW][C]0.7[/C][C]105.147997927784[/C][C]1.35610783414605[/C][/ROW]
[ROW][C]0.71[/C][C]105.412555691672[/C][C]1.40751652046409[/C][/ROW]
[ROW][C]0.72[/C][C]105.691092945090[/C][C]1.46830742253326[/C][/ROW]
[ROW][C]0.73[/C][C]105.985180921191[/C][C]1.53768850677247[/C][/ROW]
[ROW][C]0.74[/C][C]106.295984904425[/C][C]1.61238509713008[/C][/ROW]
[ROW][C]0.75[/C][C]106.623946715189[/C][C]1.68749005542132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=17088&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=17088&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
0.2596.09057167959980.785073626549223
0.2696.24882465966360.742779105897026
0.2796.39689782824510.716473770504703
0.2896.53826996773640.705222756435214
0.2996.67612238524060.708321371852601
0.396.8134051839340.725863145593432
0.3196.95289279824480.757631267035342
0.3297.0972121460330.803733370396387
0.3397.2488340472450.863457010343252
0.3497.41002579897050.935974865502641
0.3597.5827693220771.01928040224009
0.3697.76865472461431.11066829961975
0.3797.96876322968161.20676723042785
0.3898.1835559989161.30352987709458
0.3998.41278623643781.39609462111666
0.498.655450860861.4799064365811
0.4198.9097948376061.55019328884897
0.4299.17337603087981.60276267595641
0.4399.4431915603761.63468311095571
0.4499.71585891918321.64395964084749
0.4599.98783763817411.63014570022074
0.46100.2556713123761.59454451451388
0.47100.5162264363251.53957734478817
0.48100.7669044056441.46940746580755
0.49101.0058062949071.38874726029972
0.5101.2318360290211.30308488044260
0.51101.4447352202561.21782368482867
0.52101.6450508883941.13804566234769
0.53101.8340442347561.06817998580570
0.54102.0135536798861.01178394562194
0.55102.1858281053760.970945191884134
0.56102.3533468051970.946911565615199
0.57102.5186415892410.939086954786012
0.58102.6841344921140.946079715310816
0.59102.8520022386930.965400807906307
0.6103.0240763527630.994073412489012
0.61103.2017855815981.02900294052284
0.62103.3861448904921.06697877893132
0.63103.5777922815831.10559942813071
0.64103.777070806531.14295643530945
0.65103.9841483051311.17812290404484
0.66104.1991618814471.21123633488894
0.67104.4223685589341.24338367631189
0.68104.6542788995931.27644399660694
0.69104.8957478412931.31309967036887
0.7105.1479979277841.35610783414605
0.71105.4125556916721.40751652046409
0.72105.6910929450901.46830742253326
0.73105.9851809211911.53768850677247
0.74106.2959849044251.61238509713008
0.75106.6239467151891.68749005542132


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.25 ; par2 = 0.75 ; par3 = 0.01 ;
Parameters (R input):
par1 = 0.25 ; par2 = 0.75 ; par3 = 0.01 ;
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')