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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 computationSun, 06 Aug 2017 16:48:47 +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/06/t1502031241xhgstw16w4f3ijz.htm/, Retrieved Thu, 12 Feb 2026 03:33:14 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=306953, Retrieved Thu, 12 Feb 2026 03:33:14 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact326

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] [] [2017-08-06 14:48:47] [eec775fda337aa2da775a098928b5865] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1053000
1014000
1072500
858000
1111500
1092000
1170000
1209000
1345500
1170000
1111500
1384500
1170000
877500
1033500
780000
1092000
897000
1189500
1072500
1131000
1267500
1248000
1482000
1072500
897000
994500
721500
1033500
799500
1131000
1072500
955500
1365000
1228500
1404000
1053000
975000
877500
721500
955500
858000
1170000
1131000
975000
1306500
1209000
1560000
1248000
760500
760500
760500
897000
897000
1209000
1111500
994500
1248000
1150500
1657500
1306500
760500
799500
663000
916500
1053000
1326000
1306500
1053000
1228500
1092000
1560000
1189500
955500
858000
643500
955500
1150500
1345500
1267500
936000
1345500
1053000
1618500
1345500
975000
897000
604500
955500
916500
1384500
1384500
1053000
1365000
1014000
1579500
1345500
994500
760500
526500
1033500
994500
1306500
1501500
1111500
1248000
936000
1618500

Tables (Output of Computation)





Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time4 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 time4 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=306953&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]4 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=306953&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=306953&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 time4 seconds
R ServerBig Analytics Cloud Computing Center






Harrell-Davis Quantiles
quantilesvaluestandard error
0.0156646561551.5
0.0261697250803
0.0365790048271.4
0.0468972745042.3
0.0571479438529
0.0673410431123.9
0.0774885825983.3
0.0876082825089.3
0.0977185528241.2
0.178330933440.2
0.1179582238503.1
0.1280932441891.1
0.1382328742913.7
0.1483702341670.5
0.1584993638802.6
0.1686165835172.1
0.1787208231590.2
0.1888131428655.6
0.1988959226685.8
0.289720725723.2
0.2190442525575
0.2291144925904.8
0.2391839626359
0.2492530326659.9
0.2593215026671.5
0.2693889026399.2
0.2794548325957.1
0.2895191025510.2
0.2995818625211.7
0.396435225158.1
0.3197046525372.8
0.3297658125815.3
0.3398274726402.5
0.3498899127034.3
0.3599531627604
0.36100170028012.5
0.37100811028174.3
0.38101448028037.4
0.39102076027584.1
0.4102688026848.5
0.41103280025913
0.42103850024898.4
0.43104397023941.8
0.44104926023175.3
0.45105439022696.3
0.46105945022551.2
0.47106450022729
0.48106960023175.1
0.49107480023808.7
0.5108013024544.5
0.51108563025314.4
0.52109130026071
0.53109714026794
0.54110314027482.3
0.55110931028148
0.56111564028792.8
0.57112213029420.2
0.58112877030011.1
0.59113555030546.3
0.6114248031007.3
0.61114953031385.5
0.62115669031689.6
0.63116396031936.7
0.64117133032149.2
0.65117879032339.3
0.66118634032509.4
0.67119399032647.9
0.68120172032745.6
0.69120954032806
0.7121746032859.5
0.71122549032957.5
0.72123366033167.6
0.73124200033536.7
0.74125056034058
0.75125935034651.2
0.76126838035164.9
0.77127760035408.1
0.78128693035202.4
0.79129623034429.4
0.8130537033056.9
0.81131420031162.4
0.82132264028927.6
0.83133065026639
0.84133831024666.8
0.85134582023425.5
0.86135353023328.8
0.87136193024791.2
0.88137176028293
0.89138396034332.8
0.9139959043005.2
0.91141959053338.5
0.92144430062949.7
0.93147299068590.7
0.94150388067737.4
0.95153468060443.2
0.96156352049638.7
0.97158970038473.2
0.98161422028752.2
0.99163890028529.6

\begin{tabular}{lllllllll}
\hline
Harrell-Davis Quantiles \tabularnewline
quantiles & value & standard error \tabularnewline
0.01 & 566465 & 61551.5 \tabularnewline
0.02 & 616972 & 50803 \tabularnewline
0.03 & 657900 & 48271.4 \tabularnewline
0.04 & 689727 & 45042.3 \tabularnewline
0.05 & 714794 & 38529 \tabularnewline
0.06 & 734104 & 31123.9 \tabularnewline
0.07 & 748858 & 25983.3 \tabularnewline
0.08 & 760828 & 25089.3 \tabularnewline
0.09 & 771855 & 28241.2 \tabularnewline
0.1 & 783309 & 33440.2 \tabularnewline
0.11 & 795822 & 38503.1 \tabularnewline
0.12 & 809324 & 41891.1 \tabularnewline
0.13 & 823287 & 42913.7 \tabularnewline
0.14 & 837023 & 41670.5 \tabularnewline
0.15 & 849936 & 38802.6 \tabularnewline
0.16 & 861658 & 35172.1 \tabularnewline
0.17 & 872082 & 31590.2 \tabularnewline
0.18 & 881314 & 28655.6 \tabularnewline
0.19 & 889592 & 26685.8 \tabularnewline
0.2 & 897207 & 25723.2 \tabularnewline
0.21 & 904425 & 25575 \tabularnewline
0.22 & 911449 & 25904.8 \tabularnewline
0.23 & 918396 & 26359 \tabularnewline
0.24 & 925303 & 26659.9 \tabularnewline
0.25 & 932150 & 26671.5 \tabularnewline
0.26 & 938890 & 26399.2 \tabularnewline
0.27 & 945483 & 25957.1 \tabularnewline
0.28 & 951910 & 25510.2 \tabularnewline
0.29 & 958186 & 25211.7 \tabularnewline
0.3 & 964352 & 25158.1 \tabularnewline
0.31 & 970465 & 25372.8 \tabularnewline
0.32 & 976581 & 25815.3 \tabularnewline
0.33 & 982747 & 26402.5 \tabularnewline
0.34 & 988991 & 27034.3 \tabularnewline
0.35 & 995316 & 27604 \tabularnewline
0.36 & 1001700 & 28012.5 \tabularnewline
0.37 & 1008110 & 28174.3 \tabularnewline
0.38 & 1014480 & 28037.4 \tabularnewline
0.39 & 1020760 & 27584.1 \tabularnewline
0.4 & 1026880 & 26848.5 \tabularnewline
0.41 & 1032800 & 25913 \tabularnewline
0.42 & 1038500 & 24898.4 \tabularnewline
0.43 & 1043970 & 23941.8 \tabularnewline
0.44 & 1049260 & 23175.3 \tabularnewline
0.45 & 1054390 & 22696.3 \tabularnewline
0.46 & 1059450 & 22551.2 \tabularnewline
0.47 & 1064500 & 22729 \tabularnewline
0.48 & 1069600 & 23175.1 \tabularnewline
0.49 & 1074800 & 23808.7 \tabularnewline
0.5 & 1080130 & 24544.5 \tabularnewline
0.51 & 1085630 & 25314.4 \tabularnewline
0.52 & 1091300 & 26071 \tabularnewline
0.53 & 1097140 & 26794 \tabularnewline
0.54 & 1103140 & 27482.3 \tabularnewline
0.55 & 1109310 & 28148 \tabularnewline
0.56 & 1115640 & 28792.8 \tabularnewline
0.57 & 1122130 & 29420.2 \tabularnewline
0.58 & 1128770 & 30011.1 \tabularnewline
0.59 & 1135550 & 30546.3 \tabularnewline
0.6 & 1142480 & 31007.3 \tabularnewline
0.61 & 1149530 & 31385.5 \tabularnewline
0.62 & 1156690 & 31689.6 \tabularnewline
0.63 & 1163960 & 31936.7 \tabularnewline
0.64 & 1171330 & 32149.2 \tabularnewline
0.65 & 1178790 & 32339.3 \tabularnewline
0.66 & 1186340 & 32509.4 \tabularnewline
0.67 & 1193990 & 32647.9 \tabularnewline
0.68 & 1201720 & 32745.6 \tabularnewline
0.69 & 1209540 & 32806 \tabularnewline
0.7 & 1217460 & 32859.5 \tabularnewline
0.71 & 1225490 & 32957.5 \tabularnewline
0.72 & 1233660 & 33167.6 \tabularnewline
0.73 & 1242000 & 33536.7 \tabularnewline
0.74 & 1250560 & 34058 \tabularnewline
0.75 & 1259350 & 34651.2 \tabularnewline
0.76 & 1268380 & 35164.9 \tabularnewline
0.77 & 1277600 & 35408.1 \tabularnewline
0.78 & 1286930 & 35202.4 \tabularnewline
0.79 & 1296230 & 34429.4 \tabularnewline
0.8 & 1305370 & 33056.9 \tabularnewline
0.81 & 1314200 & 31162.4 \tabularnewline
0.82 & 1322640 & 28927.6 \tabularnewline
0.83 & 1330650 & 26639 \tabularnewline
0.84 & 1338310 & 24666.8 \tabularnewline
0.85 & 1345820 & 23425.5 \tabularnewline
0.86 & 1353530 & 23328.8 \tabularnewline
0.87 & 1361930 & 24791.2 \tabularnewline
0.88 & 1371760 & 28293 \tabularnewline
0.89 & 1383960 & 34332.8 \tabularnewline
0.9 & 1399590 & 43005.2 \tabularnewline
0.91 & 1419590 & 53338.5 \tabularnewline
0.92 & 1444300 & 62949.7 \tabularnewline
0.93 & 1472990 & 68590.7 \tabularnewline
0.94 & 1503880 & 67737.4 \tabularnewline
0.95 & 1534680 & 60443.2 \tabularnewline
0.96 & 1563520 & 49638.7 \tabularnewline
0.97 & 1589700 & 38473.2 \tabularnewline
0.98 & 1614220 & 28752.2 \tabularnewline
0.99 & 1638900 & 28529.6 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=306953&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]566465[/C][C]61551.5[/C][/ROW]
[ROW][C]0.02[/C][C]616972[/C][C]50803[/C][/ROW]
[ROW][C]0.03[/C][C]657900[/C][C]48271.4[/C][/ROW]
[ROW][C]0.04[/C][C]689727[/C][C]45042.3[/C][/ROW]
[ROW][C]0.05[/C][C]714794[/C][C]38529[/C][/ROW]
[ROW][C]0.06[/C][C]734104[/C][C]31123.9[/C][/ROW]
[ROW][C]0.07[/C][C]748858[/C][C]25983.3[/C][/ROW]
[ROW][C]0.08[/C][C]760828[/C][C]25089.3[/C][/ROW]
[ROW][C]0.09[/C][C]771855[/C][C]28241.2[/C][/ROW]
[ROW][C]0.1[/C][C]783309[/C][C]33440.2[/C][/ROW]
[ROW][C]0.11[/C][C]795822[/C][C]38503.1[/C][/ROW]
[ROW][C]0.12[/C][C]809324[/C][C]41891.1[/C][/ROW]
[ROW][C]0.13[/C][C]823287[/C][C]42913.7[/C][/ROW]
[ROW][C]0.14[/C][C]837023[/C][C]41670.5[/C][/ROW]
[ROW][C]0.15[/C][C]849936[/C][C]38802.6[/C][/ROW]
[ROW][C]0.16[/C][C]861658[/C][C]35172.1[/C][/ROW]
[ROW][C]0.17[/C][C]872082[/C][C]31590.2[/C][/ROW]
[ROW][C]0.18[/C][C]881314[/C][C]28655.6[/C][/ROW]
[ROW][C]0.19[/C][C]889592[/C][C]26685.8[/C][/ROW]
[ROW][C]0.2[/C][C]897207[/C][C]25723.2[/C][/ROW]
[ROW][C]0.21[/C][C]904425[/C][C]25575[/C][/ROW]
[ROW][C]0.22[/C][C]911449[/C][C]25904.8[/C][/ROW]
[ROW][C]0.23[/C][C]918396[/C][C]26359[/C][/ROW]
[ROW][C]0.24[/C][C]925303[/C][C]26659.9[/C][/ROW]
[ROW][C]0.25[/C][C]932150[/C][C]26671.5[/C][/ROW]
[ROW][C]0.26[/C][C]938890[/C][C]26399.2[/C][/ROW]
[ROW][C]0.27[/C][C]945483[/C][C]25957.1[/C][/ROW]
[ROW][C]0.28[/C][C]951910[/C][C]25510.2[/C][/ROW]
[ROW][C]0.29[/C][C]958186[/C][C]25211.7[/C][/ROW]
[ROW][C]0.3[/C][C]964352[/C][C]25158.1[/C][/ROW]
[ROW][C]0.31[/C][C]970465[/C][C]25372.8[/C][/ROW]
[ROW][C]0.32[/C][C]976581[/C][C]25815.3[/C][/ROW]
[ROW][C]0.33[/C][C]982747[/C][C]26402.5[/C][/ROW]
[ROW][C]0.34[/C][C]988991[/C][C]27034.3[/C][/ROW]
[ROW][C]0.35[/C][C]995316[/C][C]27604[/C][/ROW]
[ROW][C]0.36[/C][C]1001700[/C][C]28012.5[/C][/ROW]
[ROW][C]0.37[/C][C]1008110[/C][C]28174.3[/C][/ROW]
[ROW][C]0.38[/C][C]1014480[/C][C]28037.4[/C][/ROW]
[ROW][C]0.39[/C][C]1020760[/C][C]27584.1[/C][/ROW]
[ROW][C]0.4[/C][C]1026880[/C][C]26848.5[/C][/ROW]
[ROW][C]0.41[/C][C]1032800[/C][C]25913[/C][/ROW]
[ROW][C]0.42[/C][C]1038500[/C][C]24898.4[/C][/ROW]
[ROW][C]0.43[/C][C]1043970[/C][C]23941.8[/C][/ROW]
[ROW][C]0.44[/C][C]1049260[/C][C]23175.3[/C][/ROW]
[ROW][C]0.45[/C][C]1054390[/C][C]22696.3[/C][/ROW]
[ROW][C]0.46[/C][C]1059450[/C][C]22551.2[/C][/ROW]
[ROW][C]0.47[/C][C]1064500[/C][C]22729[/C][/ROW]
[ROW][C]0.48[/C][C]1069600[/C][C]23175.1[/C][/ROW]
[ROW][C]0.49[/C][C]1074800[/C][C]23808.7[/C][/ROW]
[ROW][C]0.5[/C][C]1080130[/C][C]24544.5[/C][/ROW]
[ROW][C]0.51[/C][C]1085630[/C][C]25314.4[/C][/ROW]
[ROW][C]0.52[/C][C]1091300[/C][C]26071[/C][/ROW]
[ROW][C]0.53[/C][C]1097140[/C][C]26794[/C][/ROW]
[ROW][C]0.54[/C][C]1103140[/C][C]27482.3[/C][/ROW]
[ROW][C]0.55[/C][C]1109310[/C][C]28148[/C][/ROW]
[ROW][C]0.56[/C][C]1115640[/C][C]28792.8[/C][/ROW]
[ROW][C]0.57[/C][C]1122130[/C][C]29420.2[/C][/ROW]
[ROW][C]0.58[/C][C]1128770[/C][C]30011.1[/C][/ROW]
[ROW][C]0.59[/C][C]1135550[/C][C]30546.3[/C][/ROW]
[ROW][C]0.6[/C][C]1142480[/C][C]31007.3[/C][/ROW]
[ROW][C]0.61[/C][C]1149530[/C][C]31385.5[/C][/ROW]
[ROW][C]0.62[/C][C]1156690[/C][C]31689.6[/C][/ROW]
[ROW][C]0.63[/C][C]1163960[/C][C]31936.7[/C][/ROW]
[ROW][C]0.64[/C][C]1171330[/C][C]32149.2[/C][/ROW]
[ROW][C]0.65[/C][C]1178790[/C][C]32339.3[/C][/ROW]
[ROW][C]0.66[/C][C]1186340[/C][C]32509.4[/C][/ROW]
[ROW][C]0.67[/C][C]1193990[/C][C]32647.9[/C][/ROW]
[ROW][C]0.68[/C][C]1201720[/C][C]32745.6[/C][/ROW]
[ROW][C]0.69[/C][C]1209540[/C][C]32806[/C][/ROW]
[ROW][C]0.7[/C][C]1217460[/C][C]32859.5[/C][/ROW]
[ROW][C]0.71[/C][C]1225490[/C][C]32957.5[/C][/ROW]
[ROW][C]0.72[/C][C]1233660[/C][C]33167.6[/C][/ROW]
[ROW][C]0.73[/C][C]1242000[/C][C]33536.7[/C][/ROW]
[ROW][C]0.74[/C][C]1250560[/C][C]34058[/C][/ROW]
[ROW][C]0.75[/C][C]1259350[/C][C]34651.2[/C][/ROW]
[ROW][C]0.76[/C][C]1268380[/C][C]35164.9[/C][/ROW]
[ROW][C]0.77[/C][C]1277600[/C][C]35408.1[/C][/ROW]
[ROW][C]0.78[/C][C]1286930[/C][C]35202.4[/C][/ROW]
[ROW][C]0.79[/C][C]1296230[/C][C]34429.4[/C][/ROW]
[ROW][C]0.8[/C][C]1305370[/C][C]33056.9[/C][/ROW]
[ROW][C]0.81[/C][C]1314200[/C][C]31162.4[/C][/ROW]
[ROW][C]0.82[/C][C]1322640[/C][C]28927.6[/C][/ROW]
[ROW][C]0.83[/C][C]1330650[/C][C]26639[/C][/ROW]
[ROW][C]0.84[/C][C]1338310[/C][C]24666.8[/C][/ROW]
[ROW][C]0.85[/C][C]1345820[/C][C]23425.5[/C][/ROW]
[ROW][C]0.86[/C][C]1353530[/C][C]23328.8[/C][/ROW]
[ROW][C]0.87[/C][C]1361930[/C][C]24791.2[/C][/ROW]
[ROW][C]0.88[/C][C]1371760[/C][C]28293[/C][/ROW]
[ROW][C]0.89[/C][C]1383960[/C][C]34332.8[/C][/ROW]
[ROW][C]0.9[/C][C]1399590[/C][C]43005.2[/C][/ROW]
[ROW][C]0.91[/C][C]1419590[/C][C]53338.5[/C][/ROW]
[ROW][C]0.92[/C][C]1444300[/C][C]62949.7[/C][/ROW]
[ROW][C]0.93[/C][C]1472990[/C][C]68590.7[/C][/ROW]
[ROW][C]0.94[/C][C]1503880[/C][C]67737.4[/C][/ROW]
[ROW][C]0.95[/C][C]1534680[/C][C]60443.2[/C][/ROW]
[ROW][C]0.96[/C][C]1563520[/C][C]49638.7[/C][/ROW]
[ROW][C]0.97[/C][C]1589700[/C][C]38473.2[/C][/ROW]
[ROW][C]0.98[/C][C]1614220[/C][C]28752.2[/C][/ROW]
[ROW][C]0.99[/C][C]1638900[/C][C]28529.6[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=306953&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=306953&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
0.0156646561551.5
0.0261697250803
0.0365790048271.4
0.0468972745042.3
0.0571479438529
0.0673410431123.9
0.0774885825983.3
0.0876082825089.3
0.0977185528241.2
0.178330933440.2
0.1179582238503.1
0.1280932441891.1
0.1382328742913.7
0.1483702341670.5
0.1584993638802.6
0.1686165835172.1
0.1787208231590.2
0.1888131428655.6
0.1988959226685.8
0.289720725723.2
0.2190442525575
0.2291144925904.8
0.2391839626359
0.2492530326659.9
0.2593215026671.5
0.2693889026399.2
0.2794548325957.1
0.2895191025510.2
0.2995818625211.7
0.396435225158.1
0.3197046525372.8
0.3297658125815.3
0.3398274726402.5
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0.48106960023175.1
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0.97158970038473.2
0.98161422028752.2
0.99163890028529.6


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 <- '0.99'
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')