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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 17:54:47 +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/16/t1502898917joesavvkc720zlv.htm/, Retrieved Sun, 30 Aug 2026 09:40:53 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=307432, Retrieved Sun, 30 Aug 2026 09:40:53 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact13

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: bou...] [2017-08-16 15:54:47] [de0d54ff4aa383cef5d270d23e3500df] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
336960.00
324480.00
343200.00
274560.00
355680.00
349440.00
374400.00
386880.00
430560.00
374400.00
355680.00
443040.00
374400.00
280800.00
330720.00
249600.00
349440.00
287040.00
380640.00
343200.00
361920.00
405600.00
399360.00
474240.00
343200.00
287040.00
318240.00
230880.00
330720.00
255840.00
361920.00
343200.00
305760.00
436800.00
393120.00
449280.00
336960.00
312000.00
280800.00
230880.00
305760.00
274560.00
374400.00
361920.00
312000.00
418080.00
386880.00
499200.00
399360.00
243360.00
243360.00
243360.00
287040.00
287040.00
386880.00
355680.00
318240.00
399360.00
368160.00
530400.00
418080.00
243360.00
255840.00
212160.00
293280.00
336960.00
424320.00
418080.00
336960.00
393120.00
349440.00
499200.00
380640.00
305760.00
274560.00
205920.00
305760.00
368160.00
430560.00
405600.00
299520.00
430560.00
336960.00
517920.00
430560.00
312000.00
287040.00
193440.00
305760.00
293280.00
443040.00
443040.00
336960.00
436800.00
324480.00
505440.00
430560.00
318240.00
243360.00
168480.00
330720.00
318240.00
418080.00
480480.00
355680.00
399360.00
299520.00
517920.00

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=307432&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=307432&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=307432&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
0.0118126919696.5
0.0219743116257
0.0321052815446.9
0.0422071314413.5
0.0522873412329.3
0.062349139959.79
0.072396358314.5
0.082434658028.61
0.092469939037.39
0.125065910700.9
0.1125466312320.8
0.1225898413405
0.1326345213732.4
0.1426784713334.5
0.1527197912416.6
0.1627573111255.3
0.1727906610108.8
0.182820209169.79
0.192846708539.26
0.22871068231.53
0.212894168183.97
0.222916648289.54
0.232938878434.52
0.242960978531.16
0.252982888534.89
0.263004458447.49
0.273025558306.29
0.283046118163.16
0.293066208067.83
0.33085938050.47
0.313105498119.43
0.323125068260.69
0.333144798448.64
0.343164778650.82
0.353185018833.19
0.363205448963.66
0.373225959015.87
0.383246348971.85
0.393266428826.77
0.43286018591.66
0.413304968292.35
0.423323197967.5
0.433340727661.47
0.443357627416
0.453374067262.56
0.463390257216.24
0.473406407273.23
0.483422717416.27
0.493439357618.63
0.53456437854.51
0.513474028100.76
0.523492168342.85
0.533510848574.15
0.543530058794.63
0.553549799007.51
0.563570049214.15
0.573590809414.35
0.583612059603.75
0.593633779775.08
0.63655939922.31
0.6136784910043.3
0.6237014110140.6
0.6337246710219.8
0.6437482410287.7
0.6537721210348.7
0.6637963010403.2
0.6738207610447.5
0.6838455110478.4
0.6938705410498
0.738958810514.7
0.7139215710546.4
0.7239477010613.8
0.7339744010731.6
0.7440017810898.5
0.7540299311088.5
0.7640588311252.5
0.7740883311330.7
0.7841181711265
0.7941479311017.3
0.841771710578.1
0.814205449971.83
0.824232449256.9
0.834258078524.75
0.844282597893.26
0.854306637496.14
0.864331287465.37
0.874358187933.11
0.884389649053.72
0.8944286610986.4
0.944786913761.7
0.9145427017068.2
0.9246217620143.9
0.9347135821949
0.9448124321676
0.9549109719341.9
0.9650032815884.4
0.9750870412311.4
0.985165509200.73
0.995244499129.41

\begin{tabular}{lllllllll}
\hline
Harrell-Davis Quantiles \tabularnewline
quantiles & value & standard error \tabularnewline
0.01 & 181269 & 19696.5 \tabularnewline
0.02 & 197431 & 16257 \tabularnewline
0.03 & 210528 & 15446.9 \tabularnewline
0.04 & 220713 & 14413.5 \tabularnewline
0.05 & 228734 & 12329.3 \tabularnewline
0.06 & 234913 & 9959.79 \tabularnewline
0.07 & 239635 & 8314.5 \tabularnewline
0.08 & 243465 & 8028.61 \tabularnewline
0.09 & 246993 & 9037.39 \tabularnewline
0.1 & 250659 & 10700.9 \tabularnewline
0.11 & 254663 & 12320.8 \tabularnewline
0.12 & 258984 & 13405 \tabularnewline
0.13 & 263452 & 13732.4 \tabularnewline
0.14 & 267847 & 13334.5 \tabularnewline
0.15 & 271979 & 12416.6 \tabularnewline
0.16 & 275731 & 11255.3 \tabularnewline
0.17 & 279066 & 10108.8 \tabularnewline
0.18 & 282020 & 9169.79 \tabularnewline
0.19 & 284670 & 8539.26 \tabularnewline
0.2 & 287106 & 8231.53 \tabularnewline
0.21 & 289416 & 8183.97 \tabularnewline
0.22 & 291664 & 8289.54 \tabularnewline
0.23 & 293887 & 8434.52 \tabularnewline
0.24 & 296097 & 8531.16 \tabularnewline
0.25 & 298288 & 8534.89 \tabularnewline
0.26 & 300445 & 8447.49 \tabularnewline
0.27 & 302555 & 8306.29 \tabularnewline
0.28 & 304611 & 8163.16 \tabularnewline
0.29 & 306620 & 8067.83 \tabularnewline
0.3 & 308593 & 8050.47 \tabularnewline
0.31 & 310549 & 8119.43 \tabularnewline
0.32 & 312506 & 8260.69 \tabularnewline
0.33 & 314479 & 8448.64 \tabularnewline
0.34 & 316477 & 8650.82 \tabularnewline
0.35 & 318501 & 8833.19 \tabularnewline
0.36 & 320544 & 8963.66 \tabularnewline
0.37 & 322595 & 9015.87 \tabularnewline
0.38 & 324634 & 8971.85 \tabularnewline
0.39 & 326642 & 8826.77 \tabularnewline
0.4 & 328601 & 8591.66 \tabularnewline
0.41 & 330496 & 8292.35 \tabularnewline
0.42 & 332319 & 7967.5 \tabularnewline
0.43 & 334072 & 7661.47 \tabularnewline
0.44 & 335762 & 7416 \tabularnewline
0.45 & 337406 & 7262.56 \tabularnewline
0.46 & 339025 & 7216.24 \tabularnewline
0.47 & 340640 & 7273.23 \tabularnewline
0.48 & 342271 & 7416.27 \tabularnewline
0.49 & 343935 & 7618.63 \tabularnewline
0.5 & 345643 & 7854.51 \tabularnewline
0.51 & 347402 & 8100.76 \tabularnewline
0.52 & 349216 & 8342.85 \tabularnewline
0.53 & 351084 & 8574.15 \tabularnewline
0.54 & 353005 & 8794.63 \tabularnewline
0.55 & 354979 & 9007.51 \tabularnewline
0.56 & 357004 & 9214.15 \tabularnewline
0.57 & 359080 & 9414.35 \tabularnewline
0.58 & 361205 & 9603.75 \tabularnewline
0.59 & 363377 & 9775.08 \tabularnewline
0.6 & 365593 & 9922.31 \tabularnewline
0.61 & 367849 & 10043.3 \tabularnewline
0.62 & 370141 & 10140.6 \tabularnewline
0.63 & 372467 & 10219.8 \tabularnewline
0.64 & 374824 & 10287.7 \tabularnewline
0.65 & 377212 & 10348.7 \tabularnewline
0.66 & 379630 & 10403.2 \tabularnewline
0.67 & 382076 & 10447.5 \tabularnewline
0.68 & 384551 & 10478.4 \tabularnewline
0.69 & 387054 & 10498 \tabularnewline
0.7 & 389588 & 10514.7 \tabularnewline
0.71 & 392157 & 10546.4 \tabularnewline
0.72 & 394770 & 10613.8 \tabularnewline
0.73 & 397440 & 10731.6 \tabularnewline
0.74 & 400178 & 10898.5 \tabularnewline
0.75 & 402993 & 11088.5 \tabularnewline
0.76 & 405883 & 11252.5 \tabularnewline
0.77 & 408833 & 11330.7 \tabularnewline
0.78 & 411817 & 11265 \tabularnewline
0.79 & 414793 & 11017.3 \tabularnewline
0.8 & 417717 & 10578.1 \tabularnewline
0.81 & 420544 & 9971.83 \tabularnewline
0.82 & 423244 & 9256.9 \tabularnewline
0.83 & 425807 & 8524.75 \tabularnewline
0.84 & 428259 & 7893.26 \tabularnewline
0.85 & 430663 & 7496.14 \tabularnewline
0.86 & 433128 & 7465.37 \tabularnewline
0.87 & 435818 & 7933.11 \tabularnewline
0.88 & 438964 & 9053.72 \tabularnewline
0.89 & 442866 & 10986.4 \tabularnewline
0.9 & 447869 & 13761.7 \tabularnewline
0.91 & 454270 & 17068.2 \tabularnewline
0.92 & 462176 & 20143.9 \tabularnewline
0.93 & 471358 & 21949 \tabularnewline
0.94 & 481243 & 21676 \tabularnewline
0.95 & 491097 & 19341.9 \tabularnewline
0.96 & 500328 & 15884.4 \tabularnewline
0.97 & 508704 & 12311.4 \tabularnewline
0.98 & 516550 & 9200.73 \tabularnewline
0.99 & 524449 & 9129.41 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=307432&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]181269[/C][C]19696.5[/C][/ROW]
[ROW][C]0.02[/C][C]197431[/C][C]16257[/C][/ROW]
[ROW][C]0.03[/C][C]210528[/C][C]15446.9[/C][/ROW]
[ROW][C]0.04[/C][C]220713[/C][C]14413.5[/C][/ROW]
[ROW][C]0.05[/C][C]228734[/C][C]12329.3[/C][/ROW]
[ROW][C]0.06[/C][C]234913[/C][C]9959.79[/C][/ROW]
[ROW][C]0.07[/C][C]239635[/C][C]8314.5[/C][/ROW]
[ROW][C]0.08[/C][C]243465[/C][C]8028.61[/C][/ROW]
[ROW][C]0.09[/C][C]246993[/C][C]9037.39[/C][/ROW]
[ROW][C]0.1[/C][C]250659[/C][C]10700.9[/C][/ROW]
[ROW][C]0.11[/C][C]254663[/C][C]12320.8[/C][/ROW]
[ROW][C]0.12[/C][C]258984[/C][C]13405[/C][/ROW]
[ROW][C]0.13[/C][C]263452[/C][C]13732.4[/C][/ROW]
[ROW][C]0.14[/C][C]267847[/C][C]13334.5[/C][/ROW]
[ROW][C]0.15[/C][C]271979[/C][C]12416.6[/C][/ROW]
[ROW][C]0.16[/C][C]275731[/C][C]11255.3[/C][/ROW]
[ROW][C]0.17[/C][C]279066[/C][C]10108.8[/C][/ROW]
[ROW][C]0.18[/C][C]282020[/C][C]9169.79[/C][/ROW]
[ROW][C]0.19[/C][C]284670[/C][C]8539.26[/C][/ROW]
[ROW][C]0.2[/C][C]287106[/C][C]8231.53[/C][/ROW]
[ROW][C]0.21[/C][C]289416[/C][C]8183.97[/C][/ROW]
[ROW][C]0.22[/C][C]291664[/C][C]8289.54[/C][/ROW]
[ROW][C]0.23[/C][C]293887[/C][C]8434.52[/C][/ROW]
[ROW][C]0.24[/C][C]296097[/C][C]8531.16[/C][/ROW]
[ROW][C]0.25[/C][C]298288[/C][C]8534.89[/C][/ROW]
[ROW][C]0.26[/C][C]300445[/C][C]8447.49[/C][/ROW]
[ROW][C]0.27[/C][C]302555[/C][C]8306.29[/C][/ROW]
[ROW][C]0.28[/C][C]304611[/C][C]8163.16[/C][/ROW]
[ROW][C]0.29[/C][C]306620[/C][C]8067.83[/C][/ROW]
[ROW][C]0.3[/C][C]308593[/C][C]8050.47[/C][/ROW]
[ROW][C]0.31[/C][C]310549[/C][C]8119.43[/C][/ROW]
[ROW][C]0.32[/C][C]312506[/C][C]8260.69[/C][/ROW]
[ROW][C]0.33[/C][C]314479[/C][C]8448.64[/C][/ROW]
[ROW][C]0.34[/C][C]316477[/C][C]8650.82[/C][/ROW]
[ROW][C]0.35[/C][C]318501[/C][C]8833.19[/C][/ROW]
[ROW][C]0.36[/C][C]320544[/C][C]8963.66[/C][/ROW]
[ROW][C]0.37[/C][C]322595[/C][C]9015.87[/C][/ROW]
[ROW][C]0.38[/C][C]324634[/C][C]8971.85[/C][/ROW]
[ROW][C]0.39[/C][C]326642[/C][C]8826.77[/C][/ROW]
[ROW][C]0.4[/C][C]328601[/C][C]8591.66[/C][/ROW]
[ROW][C]0.41[/C][C]330496[/C][C]8292.35[/C][/ROW]
[ROW][C]0.42[/C][C]332319[/C][C]7967.5[/C][/ROW]
[ROW][C]0.43[/C][C]334072[/C][C]7661.47[/C][/ROW]
[ROW][C]0.44[/C][C]335762[/C][C]7416[/C][/ROW]
[ROW][C]0.45[/C][C]337406[/C][C]7262.56[/C][/ROW]
[ROW][C]0.46[/C][C]339025[/C][C]7216.24[/C][/ROW]
[ROW][C]0.47[/C][C]340640[/C][C]7273.23[/C][/ROW]
[ROW][C]0.48[/C][C]342271[/C][C]7416.27[/C][/ROW]
[ROW][C]0.49[/C][C]343935[/C][C]7618.63[/C][/ROW]
[ROW][C]0.5[/C][C]345643[/C][C]7854.51[/C][/ROW]
[ROW][C]0.51[/C][C]347402[/C][C]8100.76[/C][/ROW]
[ROW][C]0.52[/C][C]349216[/C][C]8342.85[/C][/ROW]
[ROW][C]0.53[/C][C]351084[/C][C]8574.15[/C][/ROW]
[ROW][C]0.54[/C][C]353005[/C][C]8794.63[/C][/ROW]
[ROW][C]0.55[/C][C]354979[/C][C]9007.51[/C][/ROW]
[ROW][C]0.56[/C][C]357004[/C][C]9214.15[/C][/ROW]
[ROW][C]0.57[/C][C]359080[/C][C]9414.35[/C][/ROW]
[ROW][C]0.58[/C][C]361205[/C][C]9603.75[/C][/ROW]
[ROW][C]0.59[/C][C]363377[/C][C]9775.08[/C][/ROW]
[ROW][C]0.6[/C][C]365593[/C][C]9922.31[/C][/ROW]
[ROW][C]0.61[/C][C]367849[/C][C]10043.3[/C][/ROW]
[ROW][C]0.62[/C][C]370141[/C][C]10140.6[/C][/ROW]
[ROW][C]0.63[/C][C]372467[/C][C]10219.8[/C][/ROW]
[ROW][C]0.64[/C][C]374824[/C][C]10287.7[/C][/ROW]
[ROW][C]0.65[/C][C]377212[/C][C]10348.7[/C][/ROW]
[ROW][C]0.66[/C][C]379630[/C][C]10403.2[/C][/ROW]
[ROW][C]0.67[/C][C]382076[/C][C]10447.5[/C][/ROW]
[ROW][C]0.68[/C][C]384551[/C][C]10478.4[/C][/ROW]
[ROW][C]0.69[/C][C]387054[/C][C]10498[/C][/ROW]
[ROW][C]0.7[/C][C]389588[/C][C]10514.7[/C][/ROW]
[ROW][C]0.71[/C][C]392157[/C][C]10546.4[/C][/ROW]
[ROW][C]0.72[/C][C]394770[/C][C]10613.8[/C][/ROW]
[ROW][C]0.73[/C][C]397440[/C][C]10731.6[/C][/ROW]
[ROW][C]0.74[/C][C]400178[/C][C]10898.5[/C][/ROW]
[ROW][C]0.75[/C][C]402993[/C][C]11088.5[/C][/ROW]
[ROW][C]0.76[/C][C]405883[/C][C]11252.5[/C][/ROW]
[ROW][C]0.77[/C][C]408833[/C][C]11330.7[/C][/ROW]
[ROW][C]0.78[/C][C]411817[/C][C]11265[/C][/ROW]
[ROW][C]0.79[/C][C]414793[/C][C]11017.3[/C][/ROW]
[ROW][C]0.8[/C][C]417717[/C][C]10578.1[/C][/ROW]
[ROW][C]0.81[/C][C]420544[/C][C]9971.83[/C][/ROW]
[ROW][C]0.82[/C][C]423244[/C][C]9256.9[/C][/ROW]
[ROW][C]0.83[/C][C]425807[/C][C]8524.75[/C][/ROW]
[ROW][C]0.84[/C][C]428259[/C][C]7893.26[/C][/ROW]
[ROW][C]0.85[/C][C]430663[/C][C]7496.14[/C][/ROW]
[ROW][C]0.86[/C][C]433128[/C][C]7465.37[/C][/ROW]
[ROW][C]0.87[/C][C]435818[/C][C]7933.11[/C][/ROW]
[ROW][C]0.88[/C][C]438964[/C][C]9053.72[/C][/ROW]
[ROW][C]0.89[/C][C]442866[/C][C]10986.4[/C][/ROW]
[ROW][C]0.9[/C][C]447869[/C][C]13761.7[/C][/ROW]
[ROW][C]0.91[/C][C]454270[/C][C]17068.2[/C][/ROW]
[ROW][C]0.92[/C][C]462176[/C][C]20143.9[/C][/ROW]
[ROW][C]0.93[/C][C]471358[/C][C]21949[/C][/ROW]
[ROW][C]0.94[/C][C]481243[/C][C]21676[/C][/ROW]
[ROW][C]0.95[/C][C]491097[/C][C]19341.9[/C][/ROW]
[ROW][C]0.96[/C][C]500328[/C][C]15884.4[/C][/ROW]
[ROW][C]0.97[/C][C]508704[/C][C]12311.4[/C][/ROW]
[ROW][C]0.98[/C][C]516550[/C][C]9200.73[/C][/ROW]
[ROW][C]0.99[/C][C]524449[/C][C]9129.41[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=307432&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=307432&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
0.0118126919696.5
0.0219743116257
0.0321052815446.9
0.0422071314413.5
0.0522873412329.3
0.062349139959.79
0.072396358314.5
0.082434658028.61
0.092469939037.39
0.125065910700.9
0.1125466312320.8
0.1225898413405
0.1326345213732.4
0.1426784713334.5
0.1527197912416.6
0.1627573111255.3
0.1727906610108.8
0.182820209169.79
0.192846708539.26
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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 <- '0.10'
par2 <- '0.90'
par1 <- '0.10'
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')