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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, 16 Aug 2017 18:58:41 +0200
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2017/Aug/16/t1502902761u3ow4dfu042mn5c.htm/, Retrieved Thu, 12 Feb 2026 06:04:45 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=307465, Retrieved Thu, 12 Feb 2026 06:04:45 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact311

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] [Percentielen verk...] [2017-08-16 16:58:41] [41db9c2917eeaa94887144dd7479aea5] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1263600
1216800
1287000
1029600
1333800
1310400
1404000
1450800
1614600
1404000
1333800
1661400
1404000
1053000
1240200
936000
1310400
1076400
1427400
1287000
1357200
1521000
1497600
1778400
1287000
1076400
1193400
865800
1240200
959400
1357200
1287000
1146600
1638000
1474200
1684800
1263600
1170000
1053000
865800
1146600
1029600
1404000
1357200
1170000
1567800
1450800
1872000
1497600
912600
912600
912600
1076400
1076400
1450800
1333800
1193400
1497600
1380600
1989000
1567800
912600
959400
795600
1099800
1263600
1591200
1567800
1263600
1474200
1310400
1872000
1427400
1146600
1029600
772200
1146600
1380600
1614600
1521000
1123200
1614600
1263600
1942200
1614600
1170000
1076400
725400
1146600
1099800
1661400
1661400
1263600
1638000
1216800
1895400
1614600
1193400
912600
631800
1240200
1193400
1567800
1801800
1333800
1497600
1123200
1942200

Tables (Output of Computation)





Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time3 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=307465&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]3 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=307465&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=307465&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R ServerBig Analytics Cloud Computing Center






Harrell-Davis Quantiles
quantilesvaluestandard error
0.0167975773861.7
0.0274036760963.7
0.0378947957925.8
0.0482767354050.5
0.0585775346234.6
0.0688092437349
0.0789863031179.5
0.0891299430107.7
0.0992622633889.6
0.193997040128
0.1195498646203
0.1297118950269.3
0.1398794551496.5
0.14100443050004.4
0.15101992046562.9
0.16103399042206.6
0.17104650037908.2
0.18105758034385.1
0.19106751032023.2
0.2107665030867.9
0.21108531030690.3
0.22109374031087
0.23110208031629.7
0.24111036031991.6
0.25111858032006.6
0.26112667031680
0.27113458031149.7
0.28114229030611.8
0.29114982030255
0.3115722030189.1
0.31116456030447.8
0.32117190030977.7
0.33117930031682.9
0.34118679032440.3
0.35119438033123.4
0.36120204033614.3
0.37120973033809.7
0.38121738033644.1
0.39122491033100.4
0.4123225032218.9
0.41123936031096.7
0.42124620029877.8
0.43125277028730.6
0.44125911027809.7
0.45126527027235.4
0.46127134027060.1
0.47127740027274.7
0.48128352027810.4
0.49128975028570.9
0.5129616029454.4
0.51130276030377.8
0.52130956031285.7
0.53131656032153.6
0.54132377032980.5
0.55133117033776.9
0.56133877034553.7
0.57134655035304.7
0.58135452036012.8
0.59136266036656.3
0.6137097037208.5
0.61137943037663.8
0.62138803038028.4
0.63139675038323.6
0.64140559038580.1
0.65141454038807.4
0.66142361039011.3
0.67143279039178.2
0.68144207039294.4
0.69145145039367
0.7146095039430.1
0.71147059039548.5
0.72148039039801.7
0.73149040040242.7
0.74150067040869.7
0.75151122041581.5
0.76152206042198.2
0.77153312042489.1
0.78154431042243.3
0.79155547041315.2
0.8156644039667.9
0.81157704037393.8
0.82158716034713.1
0.83159678031967.3
0.84160597029600.3
0.85161499028110.2
0.86162423027995.5
0.87163432029750
0.88164611033951.5
0.89166075041199.4
0.9167951051606.5
0.91170351064006.1
0.92173316075539.4
0.93176759082308.6
0.94180466081284.9
0.95184161072532.2
0.96187623059566.7
0.97190764046167.8
0.98193706034502.8
0.99196668034235.4

\begin{tabular}{lllllllll}
\hline
Harrell-Davis Quantiles \tabularnewline
quantiles & value & standard error \tabularnewline
0.01 & 679757 & 73861.7 \tabularnewline
0.02 & 740367 & 60963.7 \tabularnewline
0.03 & 789479 & 57925.8 \tabularnewline
0.04 & 827673 & 54050.5 \tabularnewline
0.05 & 857753 & 46234.6 \tabularnewline
0.06 & 880924 & 37349 \tabularnewline
0.07 & 898630 & 31179.5 \tabularnewline
0.08 & 912994 & 30107.7 \tabularnewline
0.09 & 926226 & 33889.6 \tabularnewline
0.1 & 939970 & 40128 \tabularnewline
0.11 & 954986 & 46203 \tabularnewline
0.12 & 971189 & 50269.3 \tabularnewline
0.13 & 987945 & 51496.5 \tabularnewline
0.14 & 1004430 & 50004.4 \tabularnewline
0.15 & 1019920 & 46562.9 \tabularnewline
0.16 & 1033990 & 42206.6 \tabularnewline
0.17 & 1046500 & 37908.2 \tabularnewline
0.18 & 1057580 & 34385.1 \tabularnewline
0.19 & 1067510 & 32023.2 \tabularnewline
0.2 & 1076650 & 30867.9 \tabularnewline
0.21 & 1085310 & 30690.3 \tabularnewline
0.22 & 1093740 & 31087 \tabularnewline
0.23 & 1102080 & 31629.7 \tabularnewline
0.24 & 1110360 & 31991.6 \tabularnewline
0.25 & 1118580 & 32006.6 \tabularnewline
0.26 & 1126670 & 31680 \tabularnewline
0.27 & 1134580 & 31149.7 \tabularnewline
0.28 & 1142290 & 30611.8 \tabularnewline
0.29 & 1149820 & 30255 \tabularnewline
0.3 & 1157220 & 30189.1 \tabularnewline
0.31 & 1164560 & 30447.8 \tabularnewline
0.32 & 1171900 & 30977.7 \tabularnewline
0.33 & 1179300 & 31682.9 \tabularnewline
0.34 & 1186790 & 32440.3 \tabularnewline
0.35 & 1194380 & 33123.4 \tabularnewline
0.36 & 1202040 & 33614.3 \tabularnewline
0.37 & 1209730 & 33809.7 \tabularnewline
0.38 & 1217380 & 33644.1 \tabularnewline
0.39 & 1224910 & 33100.4 \tabularnewline
0.4 & 1232250 & 32218.9 \tabularnewline
0.41 & 1239360 & 31096.7 \tabularnewline
0.42 & 1246200 & 29877.8 \tabularnewline
0.43 & 1252770 & 28730.6 \tabularnewline
0.44 & 1259110 & 27809.7 \tabularnewline
0.45 & 1265270 & 27235.4 \tabularnewline
0.46 & 1271340 & 27060.1 \tabularnewline
0.47 & 1277400 & 27274.7 \tabularnewline
0.48 & 1283520 & 27810.4 \tabularnewline
0.49 & 1289750 & 28570.9 \tabularnewline
0.5 & 1296160 & 29454.4 \tabularnewline
0.51 & 1302760 & 30377.8 \tabularnewline
0.52 & 1309560 & 31285.7 \tabularnewline
0.53 & 1316560 & 32153.6 \tabularnewline
0.54 & 1323770 & 32980.5 \tabularnewline
0.55 & 1331170 & 33776.9 \tabularnewline
0.56 & 1338770 & 34553.7 \tabularnewline
0.57 & 1346550 & 35304.7 \tabularnewline
0.58 & 1354520 & 36012.8 \tabularnewline
0.59 & 1362660 & 36656.3 \tabularnewline
0.6 & 1370970 & 37208.5 \tabularnewline
0.61 & 1379430 & 37663.8 \tabularnewline
0.62 & 1388030 & 38028.4 \tabularnewline
0.63 & 1396750 & 38323.6 \tabularnewline
0.64 & 1405590 & 38580.1 \tabularnewline
0.65 & 1414540 & 38807.4 \tabularnewline
0.66 & 1423610 & 39011.3 \tabularnewline
0.67 & 1432790 & 39178.2 \tabularnewline
0.68 & 1442070 & 39294.4 \tabularnewline
0.69 & 1451450 & 39367 \tabularnewline
0.7 & 1460950 & 39430.1 \tabularnewline
0.71 & 1470590 & 39548.5 \tabularnewline
0.72 & 1480390 & 39801.7 \tabularnewline
0.73 & 1490400 & 40242.7 \tabularnewline
0.74 & 1500670 & 40869.7 \tabularnewline
0.75 & 1511220 & 41581.5 \tabularnewline
0.76 & 1522060 & 42198.2 \tabularnewline
0.77 & 1533120 & 42489.1 \tabularnewline
0.78 & 1544310 & 42243.3 \tabularnewline
0.79 & 1555470 & 41315.2 \tabularnewline
0.8 & 1566440 & 39667.9 \tabularnewline
0.81 & 1577040 & 37393.8 \tabularnewline
0.82 & 1587160 & 34713.1 \tabularnewline
0.83 & 1596780 & 31967.3 \tabularnewline
0.84 & 1605970 & 29600.3 \tabularnewline
0.85 & 1614990 & 28110.2 \tabularnewline
0.86 & 1624230 & 27995.5 \tabularnewline
0.87 & 1634320 & 29750 \tabularnewline
0.88 & 1646110 & 33951.5 \tabularnewline
0.89 & 1660750 & 41199.4 \tabularnewline
0.9 & 1679510 & 51606.5 \tabularnewline
0.91 & 1703510 & 64006.1 \tabularnewline
0.92 & 1733160 & 75539.4 \tabularnewline
0.93 & 1767590 & 82308.6 \tabularnewline
0.94 & 1804660 & 81284.9 \tabularnewline
0.95 & 1841610 & 72532.2 \tabularnewline
0.96 & 1876230 & 59566.7 \tabularnewline
0.97 & 1907640 & 46167.8 \tabularnewline
0.98 & 1937060 & 34502.8 \tabularnewline
0.99 & 1966680 & 34235.4 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=307465&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]679757[/C][C]73861.7[/C][/ROW]
[ROW][C]0.02[/C][C]740367[/C][C]60963.7[/C][/ROW]
[ROW][C]0.03[/C][C]789479[/C][C]57925.8[/C][/ROW]
[ROW][C]0.04[/C][C]827673[/C][C]54050.5[/C][/ROW]
[ROW][C]0.05[/C][C]857753[/C][C]46234.6[/C][/ROW]
[ROW][C]0.06[/C][C]880924[/C][C]37349[/C][/ROW]
[ROW][C]0.07[/C][C]898630[/C][C]31179.5[/C][/ROW]
[ROW][C]0.08[/C][C]912994[/C][C]30107.7[/C][/ROW]
[ROW][C]0.09[/C][C]926226[/C][C]33889.6[/C][/ROW]
[ROW][C]0.1[/C][C]939970[/C][C]40128[/C][/ROW]
[ROW][C]0.11[/C][C]954986[/C][C]46203[/C][/ROW]
[ROW][C]0.12[/C][C]971189[/C][C]50269.3[/C][/ROW]
[ROW][C]0.13[/C][C]987945[/C][C]51496.5[/C][/ROW]
[ROW][C]0.14[/C][C]1004430[/C][C]50004.4[/C][/ROW]
[ROW][C]0.15[/C][C]1019920[/C][C]46562.9[/C][/ROW]
[ROW][C]0.16[/C][C]1033990[/C][C]42206.6[/C][/ROW]
[ROW][C]0.17[/C][C]1046500[/C][C]37908.2[/C][/ROW]
[ROW][C]0.18[/C][C]1057580[/C][C]34385.1[/C][/ROW]
[ROW][C]0.19[/C][C]1067510[/C][C]32023.2[/C][/ROW]
[ROW][C]0.2[/C][C]1076650[/C][C]30867.9[/C][/ROW]
[ROW][C]0.21[/C][C]1085310[/C][C]30690.3[/C][/ROW]
[ROW][C]0.22[/C][C]1093740[/C][C]31087[/C][/ROW]
[ROW][C]0.23[/C][C]1102080[/C][C]31629.7[/C][/ROW]
[ROW][C]0.24[/C][C]1110360[/C][C]31991.6[/C][/ROW]
[ROW][C]0.25[/C][C]1118580[/C][C]32006.6[/C][/ROW]
[ROW][C]0.26[/C][C]1126670[/C][C]31680[/C][/ROW]
[ROW][C]0.27[/C][C]1134580[/C][C]31149.7[/C][/ROW]
[ROW][C]0.28[/C][C]1142290[/C][C]30611.8[/C][/ROW]
[ROW][C]0.29[/C][C]1149820[/C][C]30255[/C][/ROW]
[ROW][C]0.3[/C][C]1157220[/C][C]30189.1[/C][/ROW]
[ROW][C]0.31[/C][C]1164560[/C][C]30447.8[/C][/ROW]
[ROW][C]0.32[/C][C]1171900[/C][C]30977.7[/C][/ROW]
[ROW][C]0.33[/C][C]1179300[/C][C]31682.9[/C][/ROW]
[ROW][C]0.34[/C][C]1186790[/C][C]32440.3[/C][/ROW]
[ROW][C]0.35[/C][C]1194380[/C][C]33123.4[/C][/ROW]
[ROW][C]0.36[/C][C]1202040[/C][C]33614.3[/C][/ROW]
[ROW][C]0.37[/C][C]1209730[/C][C]33809.7[/C][/ROW]
[ROW][C]0.38[/C][C]1217380[/C][C]33644.1[/C][/ROW]
[ROW][C]0.39[/C][C]1224910[/C][C]33100.4[/C][/ROW]
[ROW][C]0.4[/C][C]1232250[/C][C]32218.9[/C][/ROW]
[ROW][C]0.41[/C][C]1239360[/C][C]31096.7[/C][/ROW]
[ROW][C]0.42[/C][C]1246200[/C][C]29877.8[/C][/ROW]
[ROW][C]0.43[/C][C]1252770[/C][C]28730.6[/C][/ROW]
[ROW][C]0.44[/C][C]1259110[/C][C]27809.7[/C][/ROW]
[ROW][C]0.45[/C][C]1265270[/C][C]27235.4[/C][/ROW]
[ROW][C]0.46[/C][C]1271340[/C][C]27060.1[/C][/ROW]
[ROW][C]0.47[/C][C]1277400[/C][C]27274.7[/C][/ROW]
[ROW][C]0.48[/C][C]1283520[/C][C]27810.4[/C][/ROW]
[ROW][C]0.49[/C][C]1289750[/C][C]28570.9[/C][/ROW]
[ROW][C]0.5[/C][C]1296160[/C][C]29454.4[/C][/ROW]
[ROW][C]0.51[/C][C]1302760[/C][C]30377.8[/C][/ROW]
[ROW][C]0.52[/C][C]1309560[/C][C]31285.7[/C][/ROW]
[ROW][C]0.53[/C][C]1316560[/C][C]32153.6[/C][/ROW]
[ROW][C]0.54[/C][C]1323770[/C][C]32980.5[/C][/ROW]
[ROW][C]0.55[/C][C]1331170[/C][C]33776.9[/C][/ROW]
[ROW][C]0.56[/C][C]1338770[/C][C]34553.7[/C][/ROW]
[ROW][C]0.57[/C][C]1346550[/C][C]35304.7[/C][/ROW]
[ROW][C]0.58[/C][C]1354520[/C][C]36012.8[/C][/ROW]
[ROW][C]0.59[/C][C]1362660[/C][C]36656.3[/C][/ROW]
[ROW][C]0.6[/C][C]1370970[/C][C]37208.5[/C][/ROW]
[ROW][C]0.61[/C][C]1379430[/C][C]37663.8[/C][/ROW]
[ROW][C]0.62[/C][C]1388030[/C][C]38028.4[/C][/ROW]
[ROW][C]0.63[/C][C]1396750[/C][C]38323.6[/C][/ROW]
[ROW][C]0.64[/C][C]1405590[/C][C]38580.1[/C][/ROW]
[ROW][C]0.65[/C][C]1414540[/C][C]38807.4[/C][/ROW]
[ROW][C]0.66[/C][C]1423610[/C][C]39011.3[/C][/ROW]
[ROW][C]0.67[/C][C]1432790[/C][C]39178.2[/C][/ROW]
[ROW][C]0.68[/C][C]1442070[/C][C]39294.4[/C][/ROW]
[ROW][C]0.69[/C][C]1451450[/C][C]39367[/C][/ROW]
[ROW][C]0.7[/C][C]1460950[/C][C]39430.1[/C][/ROW]
[ROW][C]0.71[/C][C]1470590[/C][C]39548.5[/C][/ROW]
[ROW][C]0.72[/C][C]1480390[/C][C]39801.7[/C][/ROW]
[ROW][C]0.73[/C][C]1490400[/C][C]40242.7[/C][/ROW]
[ROW][C]0.74[/C][C]1500670[/C][C]40869.7[/C][/ROW]
[ROW][C]0.75[/C][C]1511220[/C][C]41581.5[/C][/ROW]
[ROW][C]0.76[/C][C]1522060[/C][C]42198.2[/C][/ROW]
[ROW][C]0.77[/C][C]1533120[/C][C]42489.1[/C][/ROW]
[ROW][C]0.78[/C][C]1544310[/C][C]42243.3[/C][/ROW]
[ROW][C]0.79[/C][C]1555470[/C][C]41315.2[/C][/ROW]
[ROW][C]0.8[/C][C]1566440[/C][C]39667.9[/C][/ROW]
[ROW][C]0.81[/C][C]1577040[/C][C]37393.8[/C][/ROW]
[ROW][C]0.82[/C][C]1587160[/C][C]34713.1[/C][/ROW]
[ROW][C]0.83[/C][C]1596780[/C][C]31967.3[/C][/ROW]
[ROW][C]0.84[/C][C]1605970[/C][C]29600.3[/C][/ROW]
[ROW][C]0.85[/C][C]1614990[/C][C]28110.2[/C][/ROW]
[ROW][C]0.86[/C][C]1624230[/C][C]27995.5[/C][/ROW]
[ROW][C]0.87[/C][C]1634320[/C][C]29750[/C][/ROW]
[ROW][C]0.88[/C][C]1646110[/C][C]33951.5[/C][/ROW]
[ROW][C]0.89[/C][C]1660750[/C][C]41199.4[/C][/ROW]
[ROW][C]0.9[/C][C]1679510[/C][C]51606.5[/C][/ROW]
[ROW][C]0.91[/C][C]1703510[/C][C]64006.1[/C][/ROW]
[ROW][C]0.92[/C][C]1733160[/C][C]75539.4[/C][/ROW]
[ROW][C]0.93[/C][C]1767590[/C][C]82308.6[/C][/ROW]
[ROW][C]0.94[/C][C]1804660[/C][C]81284.9[/C][/ROW]
[ROW][C]0.95[/C][C]1841610[/C][C]72532.2[/C][/ROW]
[ROW][C]0.96[/C][C]1876230[/C][C]59566.7[/C][/ROW]
[ROW][C]0.97[/C][C]1907640[/C][C]46167.8[/C][/ROW]
[ROW][C]0.98[/C][C]1937060[/C][C]34502.8[/C][/ROW]
[ROW][C]0.99[/C][C]1966680[/C][C]34235.4[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=307465&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=307465&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
0.0167975773861.7
0.0274036760963.7
0.0378947957925.8
0.0482767354050.5
0.0585775346234.6
0.0688092437349
0.0789863031179.5
0.0891299430107.7
0.0992622633889.6
0.193997040128
0.1195498646203
0.1297118950269.3
0.1398794551496.5
0.14100443050004.4
0.15101992046562.9
0.16103399042206.6
0.17104650037908.2
0.18105758034385.1
0.19106751032023.2
0.2107665030867.9
0.21108531030690.3
0.22109374031087
0.23110208031629.7
0.24111036031991.6
0.25111858032006.6
0.26112667031680
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0.99196668034235.4


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
Parameters (R input):
par1 = 0.01 ; par2 = 0.99 ; par3 = 0.01 ;
R code (references can be found in the software module):
par3 <- '0.1'
par2 <- '0.9'
par1 <- '0.1'
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,signif(as.matrix(hd[i])[1,1],6))
a<-table.element(a,signif(as.matrix(attr(hd,'se')[i])[1,1],6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')