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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 computationSat, 10 Oct 2015 19:07:32 +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/2015/Oct/10/t1444500562aeu1lgttonypf7d.htm/, Retrieved Thu, 13 Aug 2026 15:05:56 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=282277, Retrieved Thu, 13 Aug 2026 15:05:56 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact353

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] [Harrell-Davis Qua...] [2015-10-10 18:07:32] [222d636fdad51496d9d4591430f47267] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
254
200
165
123
162
145
145
161
155
173
160
47
232
143
161
159
243
192
157
143
221
227
132
41
273
182
188
162
140
186
178
236
202
184
119
16
340
151
240
235
174
309
174
207
209
171
117
10
339
139
186
155
153
222
102
107
188
162
185
24
394
209
248
254
202
258
215
309
240
258
276
48
455
345
311
346
310
297
300
274
292
304
186
14
321
206
160
217
204
246
234
175
364
328
158
40
556
193
221
278
230
253
240
252
228
306
206
48
557
279
399
364
306
471
293
333
316
329
265
61
679
428
394
352
387
590
177
199
203
255
261
115
537
172
425
244
313
335
222
223
179
335
286
154
443
165
275
304
303
342
322
291
300
491
266
176

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' @ 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 & 2 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=282277&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' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=282277&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=282277&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' @ yule.wessa.net






Harrell-Davis Quantiles
quantilesvaluestandard error
0.2158.7106352136554.68787707651402
0.21160.275588798784.71181027862426
0.22161.8391630178714.97232935648823
0.23163.4652198629875.39090138782635
0.24165.1901396554425.85778399078343
0.25167.0195647725646.27100846098698
0.26168.9339642353476.565222769983
0.27170.9009028766016.7297052831382
0.28172.8889890219146.80039924755864
0.29174.8782580578216.83607425071561
0.3176.8642102676686.89358241360437
0.31178.8560433227447.01099662020635
0.32180.8716916512747.20491826369819
0.33182.9322727610667.47576358927746
0.34185.0572383700997.81044422607418
0.35187.260402899378.18319003744229
0.36189.5469236165358.55446281779779
0.37191.9119114823558.88203873624903
0.38194.3416544173229.13351647061051
0.39196.8177409308129.29953241397049
0.4199.3229299739479.40140430092446
0.41201.8464182217529.47791338691354
0.42204.3861560655159.57004308090159
0.43206.9472185561929.69961739588162
0.44209.5371889139359.86169231144149
0.45212.1609122871510.0296809375127
0.46214.81705749063810.1691306940891
0.47217.49775649313810.2562991667212
0.48220.1909640986610.2823473071931
0.49222.88403338292610.2565298914305
0.5225.56684163956910.1961147021073
0.51228.23347580522310.1200208143971
0.52230.88241754149710.0440141696278
0.53233.51580370039.97895523273414
0.54236.1384782523349.93318653058773
0.55238.7573533902829.91206063606223
0.56241.381324661649.92310904937388
0.57244.0217632326439.97589250977537
0.58246.69338764580610.0832254857749
0.59249.415038431910.2625940590045
0.6252.20964515179110.5298082318115
0.61255.10272789544610.8922279813352
0.62258.11925962672811.3410185493325
0.63261.27945556428111.8469943952512
0.64264.59458900023412.364816665237
0.65268.06385621410612.8444915245989
0.66271.67266890751213.2361494014223
0.67275.39208238400513.4913596685989
0.68279.1789999467413.5654025721125
0.69282.97746813402613.4176016855572
0.7286.72222400642813.0224211364589
0.71290.34579303415512.3837502004049
0.72293.78939283352711.5511716273469
0.73297.01604151279110.6186357633257
0.74300.0225620333899.72106446123473
0.75302.846490214559.00702926604016
0.76305.5645244768738.60730462507479
0.77308.2808967055998.59468695518926
0.78311.1066363822168.9487185508803
0.79314.1339839315129.55132128829648
0.8317.41368074614910.2192734313245

\begin{tabular}{lllllllll}
\hline
Harrell-Davis Quantiles \tabularnewline
quantiles & value & standard error \tabularnewline
0.2 & 158.710635213655 & 4.68787707651402 \tabularnewline
0.21 & 160.27558879878 & 4.71181027862426 \tabularnewline
0.22 & 161.839163017871 & 4.97232935648823 \tabularnewline
0.23 & 163.465219862987 & 5.39090138782635 \tabularnewline
0.24 & 165.190139655442 & 5.85778399078343 \tabularnewline
0.25 & 167.019564772564 & 6.27100846098698 \tabularnewline
0.26 & 168.933964235347 & 6.565222769983 \tabularnewline
0.27 & 170.900902876601 & 6.7297052831382 \tabularnewline
0.28 & 172.888989021914 & 6.80039924755864 \tabularnewline
0.29 & 174.878258057821 & 6.83607425071561 \tabularnewline
0.3 & 176.864210267668 & 6.89358241360437 \tabularnewline
0.31 & 178.856043322744 & 7.01099662020635 \tabularnewline
0.32 & 180.871691651274 & 7.20491826369819 \tabularnewline
0.33 & 182.932272761066 & 7.47576358927746 \tabularnewline
0.34 & 185.057238370099 & 7.81044422607418 \tabularnewline
0.35 & 187.26040289937 & 8.18319003744229 \tabularnewline
0.36 & 189.546923616535 & 8.55446281779779 \tabularnewline
0.37 & 191.911911482355 & 8.88203873624903 \tabularnewline
0.38 & 194.341654417322 & 9.13351647061051 \tabularnewline
0.39 & 196.817740930812 & 9.29953241397049 \tabularnewline
0.4 & 199.322929973947 & 9.40140430092446 \tabularnewline
0.41 & 201.846418221752 & 9.47791338691354 \tabularnewline
0.42 & 204.386156065515 & 9.57004308090159 \tabularnewline
0.43 & 206.947218556192 & 9.69961739588162 \tabularnewline
0.44 & 209.537188913935 & 9.86169231144149 \tabularnewline
0.45 & 212.16091228715 & 10.0296809375127 \tabularnewline
0.46 & 214.817057490638 & 10.1691306940891 \tabularnewline
0.47 & 217.497756493138 & 10.2562991667212 \tabularnewline
0.48 & 220.19096409866 & 10.2823473071931 \tabularnewline
0.49 & 222.884033382926 & 10.2565298914305 \tabularnewline
0.5 & 225.566841639569 & 10.1961147021073 \tabularnewline
0.51 & 228.233475805223 & 10.1200208143971 \tabularnewline
0.52 & 230.882417541497 & 10.0440141696278 \tabularnewline
0.53 & 233.5158037003 & 9.97895523273414 \tabularnewline
0.54 & 236.138478252334 & 9.93318653058773 \tabularnewline
0.55 & 238.757353390282 & 9.91206063606223 \tabularnewline
0.56 & 241.38132466164 & 9.92310904937388 \tabularnewline
0.57 & 244.021763232643 & 9.97589250977537 \tabularnewline
0.58 & 246.693387645806 & 10.0832254857749 \tabularnewline
0.59 & 249.4150384319 & 10.2625940590045 \tabularnewline
0.6 & 252.209645151791 & 10.5298082318115 \tabularnewline
0.61 & 255.102727895446 & 10.8922279813352 \tabularnewline
0.62 & 258.119259626728 & 11.3410185493325 \tabularnewline
0.63 & 261.279455564281 & 11.8469943952512 \tabularnewline
0.64 & 264.594589000234 & 12.364816665237 \tabularnewline
0.65 & 268.063856214106 & 12.8444915245989 \tabularnewline
0.66 & 271.672668907512 & 13.2361494014223 \tabularnewline
0.67 & 275.392082384005 & 13.4913596685989 \tabularnewline
0.68 & 279.17899994674 & 13.5654025721125 \tabularnewline
0.69 & 282.977468134026 & 13.4176016855572 \tabularnewline
0.7 & 286.722224006428 & 13.0224211364589 \tabularnewline
0.71 & 290.345793034155 & 12.3837502004049 \tabularnewline
0.72 & 293.789392833527 & 11.5511716273469 \tabularnewline
0.73 & 297.016041512791 & 10.6186357633257 \tabularnewline
0.74 & 300.022562033389 & 9.72106446123473 \tabularnewline
0.75 & 302.84649021455 & 9.00702926604016 \tabularnewline
0.76 & 305.564524476873 & 8.60730462507479 \tabularnewline
0.77 & 308.280896705599 & 8.59468695518926 \tabularnewline
0.78 & 311.106636382216 & 8.9487185508803 \tabularnewline
0.79 & 314.133983931512 & 9.55132128829648 \tabularnewline
0.8 & 317.413680746149 & 10.2192734313245 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=282277&T=1

[TABLE]
[ROW][C]Harrell-Davis Quantiles[/C][/ROW]
[ROW][C]quantiles[/C][C]value[/C][C]standard error[/C][/ROW]
[ROW][C]0.2[/C][C]158.710635213655[/C][C]4.68787707651402[/C][/ROW]
[ROW][C]0.21[/C][C]160.27558879878[/C][C]4.71181027862426[/C][/ROW]
[ROW][C]0.22[/C][C]161.839163017871[/C][C]4.97232935648823[/C][/ROW]
[ROW][C]0.23[/C][C]163.465219862987[/C][C]5.39090138782635[/C][/ROW]
[ROW][C]0.24[/C][C]165.190139655442[/C][C]5.85778399078343[/C][/ROW]
[ROW][C]0.25[/C][C]167.019564772564[/C][C]6.27100846098698[/C][/ROW]
[ROW][C]0.26[/C][C]168.933964235347[/C][C]6.565222769983[/C][/ROW]
[ROW][C]0.27[/C][C]170.900902876601[/C][C]6.7297052831382[/C][/ROW]
[ROW][C]0.28[/C][C]172.888989021914[/C][C]6.80039924755864[/C][/ROW]
[ROW][C]0.29[/C][C]174.878258057821[/C][C]6.83607425071561[/C][/ROW]
[ROW][C]0.3[/C][C]176.864210267668[/C][C]6.89358241360437[/C][/ROW]
[ROW][C]0.31[/C][C]178.856043322744[/C][C]7.01099662020635[/C][/ROW]
[ROW][C]0.32[/C][C]180.871691651274[/C][C]7.20491826369819[/C][/ROW]
[ROW][C]0.33[/C][C]182.932272761066[/C][C]7.47576358927746[/C][/ROW]
[ROW][C]0.34[/C][C]185.057238370099[/C][C]7.81044422607418[/C][/ROW]
[ROW][C]0.35[/C][C]187.26040289937[/C][C]8.18319003744229[/C][/ROW]
[ROW][C]0.36[/C][C]189.546923616535[/C][C]8.55446281779779[/C][/ROW]
[ROW][C]0.37[/C][C]191.911911482355[/C][C]8.88203873624903[/C][/ROW]
[ROW][C]0.38[/C][C]194.341654417322[/C][C]9.13351647061051[/C][/ROW]
[ROW][C]0.39[/C][C]196.817740930812[/C][C]9.29953241397049[/C][/ROW]
[ROW][C]0.4[/C][C]199.322929973947[/C][C]9.40140430092446[/C][/ROW]
[ROW][C]0.41[/C][C]201.846418221752[/C][C]9.47791338691354[/C][/ROW]
[ROW][C]0.42[/C][C]204.386156065515[/C][C]9.57004308090159[/C][/ROW]
[ROW][C]0.43[/C][C]206.947218556192[/C][C]9.69961739588162[/C][/ROW]
[ROW][C]0.44[/C][C]209.537188913935[/C][C]9.86169231144149[/C][/ROW]
[ROW][C]0.45[/C][C]212.16091228715[/C][C]10.0296809375127[/C][/ROW]
[ROW][C]0.46[/C][C]214.817057490638[/C][C]10.1691306940891[/C][/ROW]
[ROW][C]0.47[/C][C]217.497756493138[/C][C]10.2562991667212[/C][/ROW]
[ROW][C]0.48[/C][C]220.19096409866[/C][C]10.2823473071931[/C][/ROW]
[ROW][C]0.49[/C][C]222.884033382926[/C][C]10.2565298914305[/C][/ROW]
[ROW][C]0.5[/C][C]225.566841639569[/C][C]10.1961147021073[/C][/ROW]
[ROW][C]0.51[/C][C]228.233475805223[/C][C]10.1200208143971[/C][/ROW]
[ROW][C]0.52[/C][C]230.882417541497[/C][C]10.0440141696278[/C][/ROW]
[ROW][C]0.53[/C][C]233.5158037003[/C][C]9.97895523273414[/C][/ROW]
[ROW][C]0.54[/C][C]236.138478252334[/C][C]9.93318653058773[/C][/ROW]
[ROW][C]0.55[/C][C]238.757353390282[/C][C]9.91206063606223[/C][/ROW]
[ROW][C]0.56[/C][C]241.38132466164[/C][C]9.92310904937388[/C][/ROW]
[ROW][C]0.57[/C][C]244.021763232643[/C][C]9.97589250977537[/C][/ROW]
[ROW][C]0.58[/C][C]246.693387645806[/C][C]10.0832254857749[/C][/ROW]
[ROW][C]0.59[/C][C]249.4150384319[/C][C]10.2625940590045[/C][/ROW]
[ROW][C]0.6[/C][C]252.209645151791[/C][C]10.5298082318115[/C][/ROW]
[ROW][C]0.61[/C][C]255.102727895446[/C][C]10.8922279813352[/C][/ROW]
[ROW][C]0.62[/C][C]258.119259626728[/C][C]11.3410185493325[/C][/ROW]
[ROW][C]0.63[/C][C]261.279455564281[/C][C]11.8469943952512[/C][/ROW]
[ROW][C]0.64[/C][C]264.594589000234[/C][C]12.364816665237[/C][/ROW]
[ROW][C]0.65[/C][C]268.063856214106[/C][C]12.8444915245989[/C][/ROW]
[ROW][C]0.66[/C][C]271.672668907512[/C][C]13.2361494014223[/C][/ROW]
[ROW][C]0.67[/C][C]275.392082384005[/C][C]13.4913596685989[/C][/ROW]
[ROW][C]0.68[/C][C]279.17899994674[/C][C]13.5654025721125[/C][/ROW]
[ROW][C]0.69[/C][C]282.977468134026[/C][C]13.4176016855572[/C][/ROW]
[ROW][C]0.7[/C][C]286.722224006428[/C][C]13.0224211364589[/C][/ROW]
[ROW][C]0.71[/C][C]290.345793034155[/C][C]12.3837502004049[/C][/ROW]
[ROW][C]0.72[/C][C]293.789392833527[/C][C]11.5511716273469[/C][/ROW]
[ROW][C]0.73[/C][C]297.016041512791[/C][C]10.6186357633257[/C][/ROW]
[ROW][C]0.74[/C][C]300.022562033389[/C][C]9.72106446123473[/C][/ROW]
[ROW][C]0.75[/C][C]302.84649021455[/C][C]9.00702926604016[/C][/ROW]
[ROW][C]0.76[/C][C]305.564524476873[/C][C]8.60730462507479[/C][/ROW]
[ROW][C]0.77[/C][C]308.280896705599[/C][C]8.59468695518926[/C][/ROW]
[ROW][C]0.78[/C][C]311.106636382216[/C][C]8.9487185508803[/C][/ROW]
[ROW][C]0.79[/C][C]314.133983931512[/C][C]9.55132128829648[/C][/ROW]
[ROW][C]0.8[/C][C]317.413680746149[/C][C]10.2192734313245[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=282277&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=282277&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
0.2158.7106352136554.68787707651402
0.21160.275588798784.71181027862426
0.22161.8391630178714.97232935648823
0.23163.4652198629875.39090138782635
0.24165.1901396554425.85778399078343
0.25167.0195647725646.27100846098698
0.26168.9339642353476.565222769983
0.27170.9009028766016.7297052831382
0.28172.8889890219146.80039924755864
0.29174.8782580578216.83607425071561
0.3176.8642102676686.89358241360437
0.31178.8560433227447.01099662020635
0.32180.8716916512747.20491826369819
0.33182.9322727610667.47576358927746
0.34185.0572383700997.81044422607418
0.35187.260402899378.18319003744229
0.36189.5469236165358.55446281779779
0.37191.9119114823558.88203873624903
0.38194.3416544173229.13351647061051
0.39196.8177409308129.29953241397049
0.4199.3229299739479.40140430092446
0.41201.8464182217529.47791338691354
0.42204.3861560655159.57004308090159
0.43206.9472185561929.69961739588162
0.44209.5371889139359.86169231144149
0.45212.1609122871510.0296809375127
0.46214.81705749063810.1691306940891
0.47217.49775649313810.2562991667212
0.48220.1909640986610.2823473071931
0.49222.88403338292610.2565298914305
0.5225.56684163956910.1961147021073
0.51228.23347580522310.1200208143971
0.52230.88241754149710.0440141696278
0.53233.51580370039.97895523273414
0.54236.1384782523349.93318653058773
0.55238.7573533902829.91206063606223
0.56241.381324661649.92310904937388
0.57244.0217632326439.97589250977537
0.58246.69338764580610.0832254857749
0.59249.415038431910.2625940590045
0.6252.20964515179110.5298082318115
0.61255.10272789544610.8922279813352
0.62258.11925962672811.3410185493325
0.63261.27945556428111.8469943952512
0.64264.59458900023412.364816665237
0.65268.06385621410612.8444915245989
0.66271.67266890751213.2361494014223
0.67275.39208238400513.4913596685989
0.68279.1789999467413.5654025721125
0.69282.97746813402613.4176016855572
0.7286.72222400642813.0224211364589
0.71290.34579303415512.3837502004049
0.72293.78939283352711.5511716273469
0.73297.01604151279110.6186357633257
0.74300.0225620333899.72106446123473
0.75302.846490214559.00702926604016
0.76305.5645244768738.60730462507479
0.77308.2808967055998.59468695518926
0.78311.1066363822168.9487185508803
0.79314.1339839315129.55132128829648
0.8317.41368074614910.2192734313245


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.01 ; par2 = 0.99 ; par3 = 0.01 ;
Parameters (R input):
par1 = 0.20 ; par2 = 0.80 ; par3 = 0.01 ;
R code (references can be found in the software module):
par3 <- '0.01'
par2 <- '0.99'
par1 <- '0.01'
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')