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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_harrell_davies.wasp
Title produced by softwareHarrell-Davis Quantiles
Date of computationMon, 22 Oct 2007 02:17:45 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2007/Oct/22/8zl1n4gxzs554w01193044488.htm/, Retrieved Sun, 05 May 2024 23:00:15 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=1391, Retrieved Sun, 05 May 2024 23:00:15 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsQ5
Estimated Impact445

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] [Q5 Distributions] [2007-10-22 09:17:45] [1a83104d28786df2e24859e2e02dc234] [Current]
-   PD    [Harrell-Davis Quantiles] [Harrell – Davis Q...] [2008-10-23 10:42:36] [adb6b6905cde49db36d59ca44433140d]
-   PD    [Harrell-Davis Quantiles] [q5 harrell and davis] [2008-10-23 11:02:12] [7173087adebe3e3a714c80ea2417b3eb]
F   P       [Harrell-Davis Quantiles] [q5 harrell and davis] [2008-10-23 13:15:45] [7173087adebe3e3a714c80ea2417b3eb]
-   P         [Harrell-Davis Quantiles] [Harrel - Davis Q5] [2008-10-27 08:59:10] [b635de6fc42b001d22cbe6e730fec936]
- RMP           [Central Tendency] [Central tendency ...] [2008-10-27 10:29:49] [b635de6fc42b001d22cbe6e730fec936]
- RMPD          [Harrell-Davis Quantiles] [Harrell-Davis Qua...] [2008-10-27 10:36:19] [b635de6fc42b001d22cbe6e730fec936]
F   P         [Harrell-Davis Quantiles] [q5] [2008-10-27 10:34:14] [e43247bc0ab243a5af99ac7f55ba0b41]
F   P         [Harrell-Davis Quantiles] [Q5 Harrell-Davis ...] [2008-10-27 19:46:49] [c993f605b206b366f754f7f8c1fcc291]
-   PD    [Harrell-Davis Quantiles] [q5 harell davis] [2008-10-23 11:04:09] [c993f605b206b366f754f7f8c1fcc291]
-   PD    [Harrell-Davis Quantiles] [Q5 Harell Davis] [2008-10-23 11:09:53] [7d3039e6253bb5fb3b26df1537d500b4]
- R P       [Harrell-Davis Quantiles] [Correctie Q5] [2008-11-03 23:08:45] [aa5573c1db401b164e448aef050955a1]
-    D    [Harrell-Davis Quantiles] [Q5:Harell Davis] [2008-10-23 11:32:15] [1ce0d16c8f4225c977b42c8fa93bc163]
-   PD    [Harrell-Davis Quantiles] [vraag 1: Q5 95% b...] [2008-10-23 11:49:44] [82d201ca7b4e7cd2c6f885d29b5b6937]
-   P       [Harrell-Davis Quantiles] [vraag 1: Q5 betro...] [2008-10-25 13:59:04] [82d201ca7b4e7cd2c6f885d29b5b6937]
F    D    [Harrell-Davis Quantiles] [Q5: Show that the...] [2008-10-23 13:32:31] [1e1d8320a8a1170c475bf6e4ce119de6]
-           [Harrell-Davis Quantiles] [Q5: Show that the...] [2008-10-27 19:09:57] [988ab43f527fc78aae41c84649095267]
F    D    [Harrell-Davis Quantiles] [95%-betrouwbaarhe...] [2008-10-24 13:05:58] [495cd80c1a9baafb03c09cd9ab8d8fb5]
F    D    [Harrell-Davis Quantiles] [Show that the 95%...] [2008-10-24 14:00:28] [1376d48f59a7212e8dd85a587491a69b]
F RMPD    [Central Tendency] [Gemiddelde vervaa...] [2008-10-24 14:08:17] [495cd80c1a9baafb03c09cd9ab8d8fb5]
F    D      [Central Tendency] [gemiddelde Q9 van...] [2008-10-26 11:54:18] [5de5fb433ddcb9578e0fa830f795b7e9]
-   P       [Central Tendency] [Gemiddelde Task 1 Q5] [2008-10-26 18:03:26] [85841a4a203c2f9589565c024425a91b]
-           [Central Tendency] [Central tendency ...] [2008-10-27 21:48:15] [74be16979710d4c4e7c6647856088456]
F    D    [Harrell-Davis Quantiles] [Investigating Dis...] [2008-10-24 14:53:18] [063e4b67ad7d3a8a83eccec794cd5aa7]
F   PD    [Harrell-Davis Quantiles] [q4 INV DISTR] [2008-10-24 16:16:56] [8545382734d98368249ce527c6558129]
F    D    [Harrell-Davis Quantiles] [herberekening vra...] [2008-10-24 16:35:13] [c45c87b96bbf32ffc2144fc37d767b2e]
F RMPD      [Central Tendency] [herberekening vra...] [2008-10-24 17:29:02] [c45c87b96bbf32ffc2144fc37d767b2e]
- RMPD        [Harrell-Davis Quantiles] [vraag 9] [2008-10-26 13:37:07] [c45c87b96bbf32ffc2144fc37d767b2e]
F    D    [Harrell-Davis Quantiles] [Investigating Dis...] [2008-10-24 17:10:37] [a57f5cc542637534b8bb5bcb4d37eab1]
F    D    [Harrell-Davis Quantiles] [Investigating dis...] [2008-10-25 11:50:20] [2d4aec5ed1856c4828162be37be304d9]
F   PD      [Harrell-Davis Quantiles] [Investigating dis...] [2008-10-27 18:34:25] [2d4aec5ed1856c4828162be37be304d9]
F    D    [Harrell-Davis Quantiles] [Investigating Dis...] [2008-10-25 12:48:44] [6743688719638b0cb1c0a6e0bf433315]
F    D    [Harrell-Davis Quantiles] [Q5] [2008-10-25 12:54:10] [b187fac1a1b0cb3920f54366df47fea3]
F    D    [Harrell-Davis Quantiles] [Investigating Dis...] [2008-10-25 20:19:36] [b82ef11dce0545f3fd4676ec3ebed828]
-    D    [Harrell-Davis Quantiles] [Investigating dis...] [2008-10-25 22:21:58] [d32f94eec6fe2d8c421bd223368a5ced]
-           [Harrell-Davis Quantiles] [] [2008-11-03 13:57:17] [888addc516c3b812dd7be4bd54caa358]
-           [Harrell-Davis Quantiles] [] [2008-11-03 15:01:37] [888addc516c3b812dd7be4bd54caa358]
F    D    [Harrell-Davis Quantiles] [Q5] [2008-10-26 08:31:44] [87cabf13a90315c7085b765dcebb7412]
F   P       [Harrell-Davis Quantiles] [Q4] [2008-10-27 21:35:43] [d2d412c7f4d35ffbf5ee5ee89db327d4]
F    D    [Harrell-Davis Quantiles] [Q5: 95% confidenc...] [2008-10-26 10:21:29] [4396f984ebeab43316cd6baa88a4fd40]
F   PD    [Harrell-Davis Quantiles] [Investigating Dis...] [2008-10-26 12:38:54] [33f4701c7363e8b81858dafbf0350eed]
-    D    [Harrell-Davis Quantiles] [Investigating dis...] [2008-10-26 13:45:10] [b943bd7078334192ff8343563ee31113]
F    D    [Harrell-Davis Quantiles] [q5 Harrell-Davis ...] [2008-10-26 14:45:10] [44a98561a4b3e6ab8cd5a857b48b0914]
-   PD    [Harrell-Davis Quantiles] [Q5 Distributions] [2008-10-26 15:00:17] [a7f04e0e73ce3683561193958d653479]
F           [Harrell-Davis Quantiles] [Q5 Distributions] [2008-10-27 22:32:33] [1d988b04e8982749ec309eda662241b4]
F    D    [Harrell-Davis Quantiles] [] [2008-10-26 15:28:14] [db72903d7941c8279d5ce0e4e873d517]
F   PD    [Harrell-Davis Quantiles] [Q5 confidence int...] [2008-10-26 15:51:04] [cf9c64468d04c2c4dd548cc66b4e3677]
F    D    [Harrell-Davis Quantiles] [Investigating dis...] [2008-10-26 16:26:25] [2b46c8b774ad566be9a33a8da3812a44]
F RMPD    [Central Tendency] [Robustheid error-...] [2008-10-26 16:33:38] [44ec60eb6065a3f81a5f756bd5af1faf]

[Truncated]
Feedback Forum
2008-10-29 21:21:33 [Kevin Truyts] [reply] 
De student heeft een correcte besluiten genomen in verband met de vraag bij Q5.
Dit werd bekomen door de Harrell-Davis quantiles te berekenen en dan het minimum (0.025) en het maximum (0.975) telkens te verminderen met het gemiddelde van de reeks.
2008-10-30 13:50:09 [Christy Masson] [reply] 
in de les hebben we gezien dat je de x in de R-code moet wijzigen in: x - het gevonden gemiddelde
2008-10-31 16:29:37 [Bob Leysen] [reply] 
Het antwoord van de student van vorig jaar was helemaal correct. Hij had enkel de step size niet aangepast van 0,01 naar 0,05.

We kunnen in de tabel de correcte antwoorden aflezen en als we het gemiddelde (0,86210) dan aftrekken bekomen we het antwoord op de vraag.

De grafiek moet wel beginnen bij 0,025 (95% betrouwbaarheidsinterval).

Vanboven staat 'unverified author'.
2008-11-01 17:22:38 [Kevin Neelen] [reply] 
Aan de lange lijst van namen hierboven te zien, is dit geen eigen reproducering van de computation. Dit had misschien net iets handiger geweest...
Hier is er gebruik gemaakt van de juiste methode om deze vraag te kunnen oplossen, namelijk de Harrell - Davis Quantiles-methode. Hierbij kan de step-size van de quantiles aangepast worden opdat we zouden kunnen werken met een betrouwbaarheidsinterval van 95% (en bijgevolg dus telkens 2,5% van de hoogste en laagste waarden kunnen laten wegvallen). Zoals de studnete dit heeft gedaan, kunnen we zien dat we het interval met grenzen 0.706063349267635 en 1.04239051104476 bekomen. Hier wordt dan het gemiddelde van de reeks (0,86210)afgetrokken om vervolgens de volgende grenzen te krijgen: 0,15603 en 0,18029. Dit is het interval waartussen de 'fouten' zich bevinden (getallen die buiten het 95%-betrouwbaarheidsinterval liggen). Dit controleert de 'oude' student door te kijken naar de standaardfout bij quantiles 0,025 en 0,975 en zag dat deze binnen de grenzen van dit laatste interval vallen.
Dit was een eerste methode om deze vraag op te lossen. Daarnaast kan ook de R-code aangepast worden om tot een juiste oplossing te komen (zoals Dhr. Wessa uitgelegd heeft tidjens het laatste hoorcollege). De waarde X wordt dan veranderd in X minus het gemiddelde. Dit geeft concreet: 'x<-x-0,86210'.
2008-11-02 17:34:16 [Bernard Femont] [reply] 
Er werden juiste gegevens ingevuld, output juist besproken
Dit werd bekomen door de Harrell-Davis quantiles te berekenen en dan het minimum (0.025) en het maximum (0.975) telkens te verminderen met het gemiddelde van de reeks (x<-x-0,86210).
2008-11-02 21:53:19 [Bernard Femont] [reply] 
Er werden juiste gegevens ingevuld, output juist besproken
Dit werd bekomen door de Harrell-Davis quantiles te berekenen en dan het minimum (0.025) en het maximum (0.975) telkens te verminderen in de R code met het gemiddelde van de reeks (x<-x-0,86210).
2008-11-03 17:13:40 [Jeroen Michel] [reply] 
De student heeft de bekomen output op een correcte manier beredeneerd. Alleen moeten we hier bemerken dat de student ook de fouten van de student van vorig jaar heeft overgenomen. Dit was slechts een kleine fout, hierbij hebben beide studenten de stepsize niet aangepast. Anders was deze opdracht volledig correct.
2008-11-03 22:29:34 [Toon Nauwelaerts] [reply] 
De student had in mijn insziens de Harrell-Davis quantiles moeten gebruiken. Ook de stepsize had aangepast moeten worden zoals mijn collega hierboven reeds vermeld heeft.

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
0,989130435
0,919087137
0,925417076
0,925612053
1,066666667
0,851108765
1,030693069
0,989031079
0,913000978
0,792723264
0,978170478
0,987513007
0,909433962
0,883608147
0,82745098
0,8252149
1,023255814
0,815418024
1,026192703
0,914742451
0,807276303
0,739130435
0,98973306
0,972164948
0,853889943
0,856864654
0,775739042
0,789473684
0,931350114
0,73971079
0,885245902
0,842435094
0,818458418
0,72755418
0,923238696
0,922680412
0,883762201
0,818270165
0,771047228
0,825852783
0,924485126
0,755165289
0,874671341
0,815956482
0,799807507
0,712598425
0,832980973
0,910323253
0,869149952
0,779182879
0,750254842
0,75856014
0,920889988
0,743991641
0,816254417
0,769593957
0,784007353
0,683284457
0,850505051
0,900695134
0,868398268

Tables (Output of Computation)





Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time5 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\begin{tabular}{lllllllll}
\hline
Summary of compuational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 5 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=1391&T=0

[TABLE]
[ROW][C]Summary of compuational 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]5 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=1391&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=1391&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 compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time5 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Harrell-Davis Quantiles
quantilesvaluestandard error
0.010.6903574823081830.0257493744938832
0.0150.695328516391510.0237478877648397
0.020.7006851289064970.021734532514729
0.0250.7060633492676350.0198465789395556
0.030.7112036616821370.0181409407214812
0.0350.7159516138801480.0166215258042675
0.040.720238984384720.0152701505942662
0.0450.7240586011050520.0140703182613428
0.050.7274408814134870.0130169628370724
0.0550.7304356673923330.0121149909956676
0.060.7330999213570140.0113755336274530
0.0650.7354903216164830.0108066015941988
0.070.7376593354487550.0104102672587416
0.0750.7396534689499880.0101793297879612
0.080.741512738453780.0100957980377989
0.0850.7432707621623240.0101353192153298
0.090.744955141615840.0102701844619835
0.0950.7465879741608710.0104732151930134
0.10.7481864285820480.0107193845356072
0.1050.7497633548654090.0109874944000426
0.110.7513279103163630.0112601657760742
0.1150.7528861846412480.011526196109277
0.120.7544418052122760.0117752995862039
0.1250.7559965042386430.0120023630740173
0.130.757550632499920.0122043778163178
0.1350.7591036088246720.0123794859228747
0.140.760654299486320.0125298799458765
0.1450.7622013262409710.0126567941304853
0.150.7637433053434060.0127639590477691
0.1550.7652790224013810.0128558221765743
0.160.7668075494625120.012937217037477
0.1650.7683283114925050.0130144421835237
0.170.7698411096453410.0130890257027324
0.1750.771346108658460.0131688330441186
0.180.772843795481730.0132543391742880
0.1850.7743349159566060.0133498482950950
0.190.7758203960370540.0134562040704081
0.1950.777301253686970.0135731710298020
0.20.7787785071820790.0137014134900641
0.2050.7802530850668460.0138365601431088
0.210.781725742453370.0139761760838112
0.2150.7831969876957030.0141174358517317
0.220.7846670227370890.014254906668871
0.2250.786135699627410.0143846557028513
0.230.7876024948688150.0145009100196785
0.2350.7890665023981270.0145991622719790
0.240.7905264451849560.0146742460172555
0.2450.7919807046427040.0147237824554493
0.250.793427366340790.0147425838993809
0.2550.7948642798915040.0147280297587216
0.260.7962891303806530.0146806157352704
0.2650.7976995183296780.0145984773988804
0.270.7990930449262890.0144813558459163
0.2750.8004673991442170.0143309797285947
0.280.8018204433897080.0141518828509622
0.2850.8031502944576240.0139450299536084
0.290.8044553968438990.0137166291746623
0.2950.8057345858297930.0134705795297250
0.30.8069871382093710.0132144865802642
0.3050.8082128090538750.0129541498747749
0.310.8094118534720780.0126954985073174
0.3150.8105850329096770.0124458847090164
0.320.8117336061086860.0122127590106538
0.3250.8128593053962440.0120017778516538
0.330.8139642994700860.0118197530780406
0.3350.8150511442774570.01167077263968
0.340.8161227239319740.0115605302029674
0.3450.81718218386970.0114911913408600
0.350.8182328586074670.0114653295564385
0.3550.8192781965333820.0114847599378424
0.360.8203216841359230.0115477666075857
0.3650.8213667719718760.0116540564540377
0.370.822416804494980.0118008984086779
0.3750.823474955628730.0119849795430896
0.380.8245441716815950.0122015373336842
0.3850.8256271228842550.0124467534622199
0.390.826726164489670.0127161972913673
0.3950.827843308029950.0130032727209724
0.40.828980202980720.0133047190084541
0.4050.8301381287537290.0136141559586320
0.410.8313179966309320.0139270942039374
0.4150.8325203609755270.014239355935933
0.420.8337454388138570.0145468382768111
0.4250.8349931366817240.0148447068575053
0.430.8362630834732790.0151326313986313
0.4350.8375546679228530.0154054385698285
0.440.8388670792909960.0156627183912659
0.4450.840199349815240.0159026498787941
0.450.8415503975219250.0161249314936152
0.4550.842919068074370.0163293765922274
0.460.8443041744497640.0165157734928721
0.4650.845704533386040.0166846565470461
0.470.8471189977132410.0168385143727890
0.4750.848546483872970.016977358744869
0.480.8499859941259850.0171040905359246
0.4850.8514366331430270.0172187792349239
0.490.8528976188598050.0173246160284153
0.4950.8543682876468240.0174228142653241
0.50.8558480939932980.0175143229302128
0.5050.8573366050283960.0176023510894760
0.510.8588334903013120.0176871470530748
0.5150.860338507314890.0177692702667512
0.520.861851483358480.0178499332357475
0.5250.8633722942182350.0179306594638612
0.530.864900840362480.0180101805121891
0.5350.8664370212111810.0180887588131363
0.540.8679807081071460.0181670326317408
0.5450.8695317166163640.0182426657825205
0.550.871089778798590.0183152217343903
0.5550.8726545161075930.018383189674388
0.560.8742254136022550.0184445154323164
0.5650.875801796171790.0184986869432896
0.570.87738280749570.0185417822082271
0.5750.8789673924659030.0185711418697827
0.580.8805542837879860.0185853019135757
0.5850.8821419934445170.0185807007579698
0.590.8837288096407720.0185546256675338
0.5950.8853127997586440.0185049726254956
0.60.8868918197174030.0184274237550889
0.6050.88846352998260.0183201309933662
0.610.8900254182823880.0181815126038245
0.6150.891574828892460.0180089438351744
0.620.893108998147960.0178003184355686
0.6250.8946250956461050.0175555885089826
0.630.8961202704309170.0172750557804465
0.6350.8975917013146280.0169579792264604
0.640.8990366504007640.0166064564640451
0.6450.9004525188401710.016221689059496
0.650.901836903877350.0158060406733841
0.6550.9031876563294940.0153625193885056
0.660.9045029377773640.0148957772281856
0.6650.9057812769225110.0144091565224269
0.670.907021624760360.0139084949432564
0.6750.9082234084093080.0133979903424574
0.680.909386583594680.0128841617006653
0.6850.9105116858836810.0123737931848146
0.690.911599880774640.0118732217969068
0.6950.9126530126348430.0113881931568975
0.70.9136736522367340.0109276070046339
0.7050.9146651422510520.010499492187601
0.710.9156316395187150.0101118222886584
0.7150.9165781522561080.0097739816098994
0.720.9175105695819820.0094955906524746
0.7250.9184356799372330.00928730737487212
0.730.9193611741667920.00916083841819465
0.7350.9202956283274060.00912687379165225
0.740.921248460770140.00919703433683982
0.7450.922229857824110.00937991935349045
0.750.9232506625810740.00968438506916855
0.7550.9243222219448590.0101152973121683
0.760.9254561883433430.0106742913471305
0.7650.9266642743538860.0113594068413920
0.770.9279579609765650.0121649595096515
0.7750.9293481633648910.0130812991346697
0.780.9308448613948550.0140954137567437
0.7850.9324567063621750.0151890292663688
0.790.934190619123560.0163422947029298
0.7950.9360513988619070.0175302199442381
0.80.938041365031490.0187253547553665
0.8050.9401600575698230.0198976618965236
0.810.9424040217808930.0210153504000639
0.8150.944766704047460.0220458127317437
0.820.9472384824089770.0229581518854807
0.8250.9498068518080260.0237213485977124
0.830.952456777322720.0243101462873557
0.8350.9551712199516320.0247034605007399
0.840.9579318286391690.024886670194248
0.8450.9607197795381480.0248523903562826
0.850.9635167295233330.0246046329518060
0.8550.96630583645170.0241546036192985
0.860.9690727846392930.0235246397989794
0.8650.9718067418188990.0227469681506455
0.870.9745011651072760.0218629790162297
0.8750.977154370209490.0209219326696186
0.880.9797697824405530.0199805985887911
0.8850.9823558024886560.0190973891840825
0.890.984925246383570.0183298783311204
0.8950.9874943595426720.0177293033734479
0.90.9900814596140850.0173304254644116
0.9050.9927053308012220.0171442690578422
0.910.9953835692027580.0171531920939682
0.9150.9981311560111320.0173115013737246
0.921.000959599044210.0175490373660681
0.9251.003877011588570.0177851170554244
0.931.006889460926540.0179383444747054
0.9351.010003778943810.0179413450399507
0.941.013231741173920.0177538738190025
0.9451.016595052227700.0173787755922235
0.951.020129917136740.0168765909408637
0.9551.02388918830220.0163837185740052
0.961.027939333519310.0161209786732948
0.9651.032349122113090.0163772628548821
0.971.037167521194920.0174324825582754
0.9751.042390511044760.0194346308279013
0.981.047920937174680.0223196274919401
0.9851.053532091645060.0258175092461661
0.991.058853123692230.0295050170940449

\begin{tabular}{lllllllll}
\hline
Harrell-Davis Quantiles \tabularnewline
quantiles & value & standard error \tabularnewline
0.01 & 0.690357482308183 & 0.0257493744938832 \tabularnewline
0.015 & 0.69532851639151 & 0.0237478877648397 \tabularnewline
0.02 & 0.700685128906497 & 0.021734532514729 \tabularnewline
0.025 & 0.706063349267635 & 0.0198465789395556 \tabularnewline
0.03 & 0.711203661682137 & 0.0181409407214812 \tabularnewline
0.035 & 0.715951613880148 & 0.0166215258042675 \tabularnewline
0.04 & 0.72023898438472 & 0.0152701505942662 \tabularnewline
0.045 & 0.724058601105052 & 0.0140703182613428 \tabularnewline
0.05 & 0.727440881413487 & 0.0130169628370724 \tabularnewline
0.055 & 0.730435667392333 & 0.0121149909956676 \tabularnewline
0.06 & 0.733099921357014 & 0.0113755336274530 \tabularnewline
0.065 & 0.735490321616483 & 0.0108066015941988 \tabularnewline
0.07 & 0.737659335448755 & 0.0104102672587416 \tabularnewline
0.075 & 0.739653468949988 & 0.0101793297879612 \tabularnewline
0.08 & 0.74151273845378 & 0.0100957980377989 \tabularnewline
0.085 & 0.743270762162324 & 0.0101353192153298 \tabularnewline
0.09 & 0.74495514161584 & 0.0102701844619835 \tabularnewline
0.095 & 0.746587974160871 & 0.0104732151930134 \tabularnewline
0.1 & 0.748186428582048 & 0.0107193845356072 \tabularnewline
0.105 & 0.749763354865409 & 0.0109874944000426 \tabularnewline
0.11 & 0.751327910316363 & 0.0112601657760742 \tabularnewline
0.115 & 0.752886184641248 & 0.011526196109277 \tabularnewline
0.12 & 0.754441805212276 & 0.0117752995862039 \tabularnewline
0.125 & 0.755996504238643 & 0.0120023630740173 \tabularnewline
0.13 & 0.75755063249992 & 0.0122043778163178 \tabularnewline
0.135 & 0.759103608824672 & 0.0123794859228747 \tabularnewline
0.14 & 0.76065429948632 & 0.0125298799458765 \tabularnewline
0.145 & 0.762201326240971 & 0.0126567941304853 \tabularnewline
0.15 & 0.763743305343406 & 0.0127639590477691 \tabularnewline
0.155 & 0.765279022401381 & 0.0128558221765743 \tabularnewline
0.16 & 0.766807549462512 & 0.012937217037477 \tabularnewline
0.165 & 0.768328311492505 & 0.0130144421835237 \tabularnewline
0.17 & 0.769841109645341 & 0.0130890257027324 \tabularnewline
0.175 & 0.77134610865846 & 0.0131688330441186 \tabularnewline
0.18 & 0.77284379548173 & 0.0132543391742880 \tabularnewline
0.185 & 0.774334915956606 & 0.0133498482950950 \tabularnewline
0.19 & 0.775820396037054 & 0.0134562040704081 \tabularnewline
0.195 & 0.77730125368697 & 0.0135731710298020 \tabularnewline
0.2 & 0.778778507182079 & 0.0137014134900641 \tabularnewline
0.205 & 0.780253085066846 & 0.0138365601431088 \tabularnewline
0.21 & 0.78172574245337 & 0.0139761760838112 \tabularnewline
0.215 & 0.783196987695703 & 0.0141174358517317 \tabularnewline
0.22 & 0.784667022737089 & 0.014254906668871 \tabularnewline
0.225 & 0.78613569962741 & 0.0143846557028513 \tabularnewline
0.23 & 0.787602494868815 & 0.0145009100196785 \tabularnewline
0.235 & 0.789066502398127 & 0.0145991622719790 \tabularnewline
0.24 & 0.790526445184956 & 0.0146742460172555 \tabularnewline
0.245 & 0.791980704642704 & 0.0147237824554493 \tabularnewline
0.25 & 0.79342736634079 & 0.0147425838993809 \tabularnewline
0.255 & 0.794864279891504 & 0.0147280297587216 \tabularnewline
0.26 & 0.796289130380653 & 0.0146806157352704 \tabularnewline
0.265 & 0.797699518329678 & 0.0145984773988804 \tabularnewline
0.27 & 0.799093044926289 & 0.0144813558459163 \tabularnewline
0.275 & 0.800467399144217 & 0.0143309797285947 \tabularnewline
0.28 & 0.801820443389708 & 0.0141518828509622 \tabularnewline
0.285 & 0.803150294457624 & 0.0139450299536084 \tabularnewline
0.29 & 0.804455396843899 & 0.0137166291746623 \tabularnewline
0.295 & 0.805734585829793 & 0.0134705795297250 \tabularnewline
0.3 & 0.806987138209371 & 0.0132144865802642 \tabularnewline
0.305 & 0.808212809053875 & 0.0129541498747749 \tabularnewline
0.31 & 0.809411853472078 & 0.0126954985073174 \tabularnewline
0.315 & 0.810585032909677 & 0.0124458847090164 \tabularnewline
0.32 & 0.811733606108686 & 0.0122127590106538 \tabularnewline
0.325 & 0.812859305396244 & 0.0120017778516538 \tabularnewline
0.33 & 0.813964299470086 & 0.0118197530780406 \tabularnewline
0.335 & 0.815051144277457 & 0.01167077263968 \tabularnewline
0.34 & 0.816122723931974 & 0.0115605302029674 \tabularnewline
0.345 & 0.8171821838697 & 0.0114911913408600 \tabularnewline
0.35 & 0.818232858607467 & 0.0114653295564385 \tabularnewline
0.355 & 0.819278196533382 & 0.0114847599378424 \tabularnewline
0.36 & 0.820321684135923 & 0.0115477666075857 \tabularnewline
0.365 & 0.821366771971876 & 0.0116540564540377 \tabularnewline
0.37 & 0.82241680449498 & 0.0118008984086779 \tabularnewline
0.375 & 0.82347495562873 & 0.0119849795430896 \tabularnewline
0.38 & 0.824544171681595 & 0.0122015373336842 \tabularnewline
0.385 & 0.825627122884255 & 0.0124467534622199 \tabularnewline
0.39 & 0.82672616448967 & 0.0127161972913673 \tabularnewline
0.395 & 0.82784330802995 & 0.0130032727209724 \tabularnewline
0.4 & 0.82898020298072 & 0.0133047190084541 \tabularnewline
0.405 & 0.830138128753729 & 0.0136141559586320 \tabularnewline
0.41 & 0.831317996630932 & 0.0139270942039374 \tabularnewline
0.415 & 0.832520360975527 & 0.014239355935933 \tabularnewline
0.42 & 0.833745438813857 & 0.0145468382768111 \tabularnewline
0.425 & 0.834993136681724 & 0.0148447068575053 \tabularnewline
0.43 & 0.836263083473279 & 0.0151326313986313 \tabularnewline
0.435 & 0.837554667922853 & 0.0154054385698285 \tabularnewline
0.44 & 0.838867079290996 & 0.0156627183912659 \tabularnewline
0.445 & 0.84019934981524 & 0.0159026498787941 \tabularnewline
0.45 & 0.841550397521925 & 0.0161249314936152 \tabularnewline
0.455 & 0.84291906807437 & 0.0163293765922274 \tabularnewline
0.46 & 0.844304174449764 & 0.0165157734928721 \tabularnewline
0.465 & 0.84570453338604 & 0.0166846565470461 \tabularnewline
0.47 & 0.847118997713241 & 0.0168385143727890 \tabularnewline
0.475 & 0.84854648387297 & 0.016977358744869 \tabularnewline
0.48 & 0.849985994125985 & 0.0171040905359246 \tabularnewline
0.485 & 0.851436633143027 & 0.0172187792349239 \tabularnewline
0.49 & 0.852897618859805 & 0.0173246160284153 \tabularnewline
0.495 & 0.854368287646824 & 0.0174228142653241 \tabularnewline
0.5 & 0.855848093993298 & 0.0175143229302128 \tabularnewline
0.505 & 0.857336605028396 & 0.0176023510894760 \tabularnewline
0.51 & 0.858833490301312 & 0.0176871470530748 \tabularnewline
0.515 & 0.86033850731489 & 0.0177692702667512 \tabularnewline
0.52 & 0.86185148335848 & 0.0178499332357475 \tabularnewline
0.525 & 0.863372294218235 & 0.0179306594638612 \tabularnewline
0.53 & 0.86490084036248 & 0.0180101805121891 \tabularnewline
0.535 & 0.866437021211181 & 0.0180887588131363 \tabularnewline
0.54 & 0.867980708107146 & 0.0181670326317408 \tabularnewline
0.545 & 0.869531716616364 & 0.0182426657825205 \tabularnewline
0.55 & 0.87108977879859 & 0.0183152217343903 \tabularnewline
0.555 & 0.872654516107593 & 0.018383189674388 \tabularnewline
0.56 & 0.874225413602255 & 0.0184445154323164 \tabularnewline
0.565 & 0.87580179617179 & 0.0184986869432896 \tabularnewline
0.57 & 0.8773828074957 & 0.0185417822082271 \tabularnewline
0.575 & 0.878967392465903 & 0.0185711418697827 \tabularnewline
0.58 & 0.880554283787986 & 0.0185853019135757 \tabularnewline
0.585 & 0.882141993444517 & 0.0185807007579698 \tabularnewline
0.59 & 0.883728809640772 & 0.0185546256675338 \tabularnewline
0.595 & 0.885312799758644 & 0.0185049726254956 \tabularnewline
0.6 & 0.886891819717403 & 0.0184274237550889 \tabularnewline
0.605 & 0.8884635299826 & 0.0183201309933662 \tabularnewline
0.61 & 0.890025418282388 & 0.0181815126038245 \tabularnewline
0.615 & 0.89157482889246 & 0.0180089438351744 \tabularnewline
0.62 & 0.89310899814796 & 0.0178003184355686 \tabularnewline
0.625 & 0.894625095646105 & 0.0175555885089826 \tabularnewline
0.63 & 0.896120270430917 & 0.0172750557804465 \tabularnewline
0.635 & 0.897591701314628 & 0.0169579792264604 \tabularnewline
0.64 & 0.899036650400764 & 0.0166064564640451 \tabularnewline
0.645 & 0.900452518840171 & 0.016221689059496 \tabularnewline
0.65 & 0.90183690387735 & 0.0158060406733841 \tabularnewline
0.655 & 0.903187656329494 & 0.0153625193885056 \tabularnewline
0.66 & 0.904502937777364 & 0.0148957772281856 \tabularnewline
0.665 & 0.905781276922511 & 0.0144091565224269 \tabularnewline
0.67 & 0.90702162476036 & 0.0139084949432564 \tabularnewline
0.675 & 0.908223408409308 & 0.0133979903424574 \tabularnewline
0.68 & 0.90938658359468 & 0.0128841617006653 \tabularnewline
0.685 & 0.910511685883681 & 0.0123737931848146 \tabularnewline
0.69 & 0.91159988077464 & 0.0118732217969068 \tabularnewline
0.695 & 0.912653012634843 & 0.0113881931568975 \tabularnewline
0.7 & 0.913673652236734 & 0.0109276070046339 \tabularnewline
0.705 & 0.914665142251052 & 0.010499492187601 \tabularnewline
0.71 & 0.915631639518715 & 0.0101118222886584 \tabularnewline
0.715 & 0.916578152256108 & 0.0097739816098994 \tabularnewline
0.72 & 0.917510569581982 & 0.0094955906524746 \tabularnewline
0.725 & 0.918435679937233 & 0.00928730737487212 \tabularnewline
0.73 & 0.919361174166792 & 0.00916083841819465 \tabularnewline
0.735 & 0.920295628327406 & 0.00912687379165225 \tabularnewline
0.74 & 0.92124846077014 & 0.00919703433683982 \tabularnewline
0.745 & 0.92222985782411 & 0.00937991935349045 \tabularnewline
0.75 & 0.923250662581074 & 0.00968438506916855 \tabularnewline
0.755 & 0.924322221944859 & 0.0101152973121683 \tabularnewline
0.76 & 0.925456188343343 & 0.0106742913471305 \tabularnewline
0.765 & 0.926664274353886 & 0.0113594068413920 \tabularnewline
0.77 & 0.927957960976565 & 0.0121649595096515 \tabularnewline
0.775 & 0.929348163364891 & 0.0130812991346697 \tabularnewline
0.78 & 0.930844861394855 & 0.0140954137567437 \tabularnewline
0.785 & 0.932456706362175 & 0.0151890292663688 \tabularnewline
0.79 & 0.93419061912356 & 0.0163422947029298 \tabularnewline
0.795 & 0.936051398861907 & 0.0175302199442381 \tabularnewline
0.8 & 0.93804136503149 & 0.0187253547553665 \tabularnewline
0.805 & 0.940160057569823 & 0.0198976618965236 \tabularnewline
0.81 & 0.942404021780893 & 0.0210153504000639 \tabularnewline
0.815 & 0.94476670404746 & 0.0220458127317437 \tabularnewline
0.82 & 0.947238482408977 & 0.0229581518854807 \tabularnewline
0.825 & 0.949806851808026 & 0.0237213485977124 \tabularnewline
0.83 & 0.95245677732272 & 0.0243101462873557 \tabularnewline
0.835 & 0.955171219951632 & 0.0247034605007399 \tabularnewline
0.84 & 0.957931828639169 & 0.024886670194248 \tabularnewline
0.845 & 0.960719779538148 & 0.0248523903562826 \tabularnewline
0.85 & 0.963516729523333 & 0.0246046329518060 \tabularnewline
0.855 & 0.9663058364517 & 0.0241546036192985 \tabularnewline
0.86 & 0.969072784639293 & 0.0235246397989794 \tabularnewline
0.865 & 0.971806741818899 & 0.0227469681506455 \tabularnewline
0.87 & 0.974501165107276 & 0.0218629790162297 \tabularnewline
0.875 & 0.97715437020949 & 0.0209219326696186 \tabularnewline
0.88 & 0.979769782440553 & 0.0199805985887911 \tabularnewline
0.885 & 0.982355802488656 & 0.0190973891840825 \tabularnewline
0.89 & 0.98492524638357 & 0.0183298783311204 \tabularnewline
0.895 & 0.987494359542672 & 0.0177293033734479 \tabularnewline
0.9 & 0.990081459614085 & 0.0173304254644116 \tabularnewline
0.905 & 0.992705330801222 & 0.0171442690578422 \tabularnewline
0.91 & 0.995383569202758 & 0.0171531920939682 \tabularnewline
0.915 & 0.998131156011132 & 0.0173115013737246 \tabularnewline
0.92 & 1.00095959904421 & 0.0175490373660681 \tabularnewline
0.925 & 1.00387701158857 & 0.0177851170554244 \tabularnewline
0.93 & 1.00688946092654 & 0.0179383444747054 \tabularnewline
0.935 & 1.01000377894381 & 0.0179413450399507 \tabularnewline
0.94 & 1.01323174117392 & 0.0177538738190025 \tabularnewline
0.945 & 1.01659505222770 & 0.0173787755922235 \tabularnewline
0.95 & 1.02012991713674 & 0.0168765909408637 \tabularnewline
0.955 & 1.0238891883022 & 0.0163837185740052 \tabularnewline
0.96 & 1.02793933351931 & 0.0161209786732948 \tabularnewline
0.965 & 1.03234912211309 & 0.0163772628548821 \tabularnewline
0.97 & 1.03716752119492 & 0.0174324825582754 \tabularnewline
0.975 & 1.04239051104476 & 0.0194346308279013 \tabularnewline
0.98 & 1.04792093717468 & 0.0223196274919401 \tabularnewline
0.985 & 1.05353209164506 & 0.0258175092461661 \tabularnewline
0.99 & 1.05885312369223 & 0.0295050170940449 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=1391&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]0.690357482308183[/C][C]0.0257493744938832[/C][/ROW]
[ROW][C]0.015[/C][C]0.69532851639151[/C][C]0.0237478877648397[/C][/ROW]
[ROW][C]0.02[/C][C]0.700685128906497[/C][C]0.021734532514729[/C][/ROW]
[ROW][C]0.025[/C][C]0.706063349267635[/C][C]0.0198465789395556[/C][/ROW]
[ROW][C]0.03[/C][C]0.711203661682137[/C][C]0.0181409407214812[/C][/ROW]
[ROW][C]0.035[/C][C]0.715951613880148[/C][C]0.0166215258042675[/C][/ROW]
[ROW][C]0.04[/C][C]0.72023898438472[/C][C]0.0152701505942662[/C][/ROW]
[ROW][C]0.045[/C][C]0.724058601105052[/C][C]0.0140703182613428[/C][/ROW]
[ROW][C]0.05[/C][C]0.727440881413487[/C][C]0.0130169628370724[/C][/ROW]
[ROW][C]0.055[/C][C]0.730435667392333[/C][C]0.0121149909956676[/C][/ROW]
[ROW][C]0.06[/C][C]0.733099921357014[/C][C]0.0113755336274530[/C][/ROW]
[ROW][C]0.065[/C][C]0.735490321616483[/C][C]0.0108066015941988[/C][/ROW]
[ROW][C]0.07[/C][C]0.737659335448755[/C][C]0.0104102672587416[/C][/ROW]
[ROW][C]0.075[/C][C]0.739653468949988[/C][C]0.0101793297879612[/C][/ROW]
[ROW][C]0.08[/C][C]0.74151273845378[/C][C]0.0100957980377989[/C][/ROW]
[ROW][C]0.085[/C][C]0.743270762162324[/C][C]0.0101353192153298[/C][/ROW]
[ROW][C]0.09[/C][C]0.74495514161584[/C][C]0.0102701844619835[/C][/ROW]
[ROW][C]0.095[/C][C]0.746587974160871[/C][C]0.0104732151930134[/C][/ROW]
[ROW][C]0.1[/C][C]0.748186428582048[/C][C]0.0107193845356072[/C][/ROW]
[ROW][C]0.105[/C][C]0.749763354865409[/C][C]0.0109874944000426[/C][/ROW]
[ROW][C]0.11[/C][C]0.751327910316363[/C][C]0.0112601657760742[/C][/ROW]
[ROW][C]0.115[/C][C]0.752886184641248[/C][C]0.011526196109277[/C][/ROW]
[ROW][C]0.12[/C][C]0.754441805212276[/C][C]0.0117752995862039[/C][/ROW]
[ROW][C]0.125[/C][C]0.755996504238643[/C][C]0.0120023630740173[/C][/ROW]
[ROW][C]0.13[/C][C]0.75755063249992[/C][C]0.0122043778163178[/C][/ROW]
[ROW][C]0.135[/C][C]0.759103608824672[/C][C]0.0123794859228747[/C][/ROW]
[ROW][C]0.14[/C][C]0.76065429948632[/C][C]0.0125298799458765[/C][/ROW]
[ROW][C]0.145[/C][C]0.762201326240971[/C][C]0.0126567941304853[/C][/ROW]
[ROW][C]0.15[/C][C]0.763743305343406[/C][C]0.0127639590477691[/C][/ROW]
[ROW][C]0.155[/C][C]0.765279022401381[/C][C]0.0128558221765743[/C][/ROW]
[ROW][C]0.16[/C][C]0.766807549462512[/C][C]0.012937217037477[/C][/ROW]
[ROW][C]0.165[/C][C]0.768328311492505[/C][C]0.0130144421835237[/C][/ROW]
[ROW][C]0.17[/C][C]0.769841109645341[/C][C]0.0130890257027324[/C][/ROW]
[ROW][C]0.175[/C][C]0.77134610865846[/C][C]0.0131688330441186[/C][/ROW]
[ROW][C]0.18[/C][C]0.77284379548173[/C][C]0.0132543391742880[/C][/ROW]
[ROW][C]0.185[/C][C]0.774334915956606[/C][C]0.0133498482950950[/C][/ROW]
[ROW][C]0.19[/C][C]0.775820396037054[/C][C]0.0134562040704081[/C][/ROW]
[ROW][C]0.195[/C][C]0.77730125368697[/C][C]0.0135731710298020[/C][/ROW]
[ROW][C]0.2[/C][C]0.778778507182079[/C][C]0.0137014134900641[/C][/ROW]
[ROW][C]0.205[/C][C]0.780253085066846[/C][C]0.0138365601431088[/C][/ROW]
[ROW][C]0.21[/C][C]0.78172574245337[/C][C]0.0139761760838112[/C][/ROW]
[ROW][C]0.215[/C][C]0.783196987695703[/C][C]0.0141174358517317[/C][/ROW]
[ROW][C]0.22[/C][C]0.784667022737089[/C][C]0.014254906668871[/C][/ROW]
[ROW][C]0.225[/C][C]0.78613569962741[/C][C]0.0143846557028513[/C][/ROW]
[ROW][C]0.23[/C][C]0.787602494868815[/C][C]0.0145009100196785[/C][/ROW]
[ROW][C]0.235[/C][C]0.789066502398127[/C][C]0.0145991622719790[/C][/ROW]
[ROW][C]0.24[/C][C]0.790526445184956[/C][C]0.0146742460172555[/C][/ROW]
[ROW][C]0.245[/C][C]0.791980704642704[/C][C]0.0147237824554493[/C][/ROW]
[ROW][C]0.25[/C][C]0.79342736634079[/C][C]0.0147425838993809[/C][/ROW]
[ROW][C]0.255[/C][C]0.794864279891504[/C][C]0.0147280297587216[/C][/ROW]
[ROW][C]0.26[/C][C]0.796289130380653[/C][C]0.0146806157352704[/C][/ROW]
[ROW][C]0.265[/C][C]0.797699518329678[/C][C]0.0145984773988804[/C][/ROW]
[ROW][C]0.27[/C][C]0.799093044926289[/C][C]0.0144813558459163[/C][/ROW]
[ROW][C]0.275[/C][C]0.800467399144217[/C][C]0.0143309797285947[/C][/ROW]
[ROW][C]0.28[/C][C]0.801820443389708[/C][C]0.0141518828509622[/C][/ROW]
[ROW][C]0.285[/C][C]0.803150294457624[/C][C]0.0139450299536084[/C][/ROW]
[ROW][C]0.29[/C][C]0.804455396843899[/C][C]0.0137166291746623[/C][/ROW]
[ROW][C]0.295[/C][C]0.805734585829793[/C][C]0.0134705795297250[/C][/ROW]
[ROW][C]0.3[/C][C]0.806987138209371[/C][C]0.0132144865802642[/C][/ROW]
[ROW][C]0.305[/C][C]0.808212809053875[/C][C]0.0129541498747749[/C][/ROW]
[ROW][C]0.31[/C][C]0.809411853472078[/C][C]0.0126954985073174[/C][/ROW]
[ROW][C]0.315[/C][C]0.810585032909677[/C][C]0.0124458847090164[/C][/ROW]
[ROW][C]0.32[/C][C]0.811733606108686[/C][C]0.0122127590106538[/C][/ROW]
[ROW][C]0.325[/C][C]0.812859305396244[/C][C]0.0120017778516538[/C][/ROW]
[ROW][C]0.33[/C][C]0.813964299470086[/C][C]0.0118197530780406[/C][/ROW]
[ROW][C]0.335[/C][C]0.815051144277457[/C][C]0.01167077263968[/C][/ROW]
[ROW][C]0.34[/C][C]0.816122723931974[/C][C]0.0115605302029674[/C][/ROW]
[ROW][C]0.345[/C][C]0.8171821838697[/C][C]0.0114911913408600[/C][/ROW]
[ROW][C]0.35[/C][C]0.818232858607467[/C][C]0.0114653295564385[/C][/ROW]
[ROW][C]0.355[/C][C]0.819278196533382[/C][C]0.0114847599378424[/C][/ROW]
[ROW][C]0.36[/C][C]0.820321684135923[/C][C]0.0115477666075857[/C][/ROW]
[ROW][C]0.365[/C][C]0.821366771971876[/C][C]0.0116540564540377[/C][/ROW]
[ROW][C]0.37[/C][C]0.82241680449498[/C][C]0.0118008984086779[/C][/ROW]
[ROW][C]0.375[/C][C]0.82347495562873[/C][C]0.0119849795430896[/C][/ROW]
[ROW][C]0.38[/C][C]0.824544171681595[/C][C]0.0122015373336842[/C][/ROW]
[ROW][C]0.385[/C][C]0.825627122884255[/C][C]0.0124467534622199[/C][/ROW]
[ROW][C]0.39[/C][C]0.82672616448967[/C][C]0.0127161972913673[/C][/ROW]
[ROW][C]0.395[/C][C]0.82784330802995[/C][C]0.0130032727209724[/C][/ROW]
[ROW][C]0.4[/C][C]0.82898020298072[/C][C]0.0133047190084541[/C][/ROW]
[ROW][C]0.405[/C][C]0.830138128753729[/C][C]0.0136141559586320[/C][/ROW]
[ROW][C]0.41[/C][C]0.831317996630932[/C][C]0.0139270942039374[/C][/ROW]
[ROW][C]0.415[/C][C]0.832520360975527[/C][C]0.014239355935933[/C][/ROW]
[ROW][C]0.42[/C][C]0.833745438813857[/C][C]0.0145468382768111[/C][/ROW]
[ROW][C]0.425[/C][C]0.834993136681724[/C][C]0.0148447068575053[/C][/ROW]
[ROW][C]0.43[/C][C]0.836263083473279[/C][C]0.0151326313986313[/C][/ROW]
[ROW][C]0.435[/C][C]0.837554667922853[/C][C]0.0154054385698285[/C][/ROW]
[ROW][C]0.44[/C][C]0.838867079290996[/C][C]0.0156627183912659[/C][/ROW]
[ROW][C]0.445[/C][C]0.84019934981524[/C][C]0.0159026498787941[/C][/ROW]
[ROW][C]0.45[/C][C]0.841550397521925[/C][C]0.0161249314936152[/C][/ROW]
[ROW][C]0.455[/C][C]0.84291906807437[/C][C]0.0163293765922274[/C][/ROW]
[ROW][C]0.46[/C][C]0.844304174449764[/C][C]0.0165157734928721[/C][/ROW]
[ROW][C]0.465[/C][C]0.84570453338604[/C][C]0.0166846565470461[/C][/ROW]
[ROW][C]0.47[/C][C]0.847118997713241[/C][C]0.0168385143727890[/C][/ROW]
[ROW][C]0.475[/C][C]0.84854648387297[/C][C]0.016977358744869[/C][/ROW]
[ROW][C]0.48[/C][C]0.849985994125985[/C][C]0.0171040905359246[/C][/ROW]
[ROW][C]0.485[/C][C]0.851436633143027[/C][C]0.0172187792349239[/C][/ROW]
[ROW][C]0.49[/C][C]0.852897618859805[/C][C]0.0173246160284153[/C][/ROW]
[ROW][C]0.495[/C][C]0.854368287646824[/C][C]0.0174228142653241[/C][/ROW]
[ROW][C]0.5[/C][C]0.855848093993298[/C][C]0.0175143229302128[/C][/ROW]
[ROW][C]0.505[/C][C]0.857336605028396[/C][C]0.0176023510894760[/C][/ROW]
[ROW][C]0.51[/C][C]0.858833490301312[/C][C]0.0176871470530748[/C][/ROW]
[ROW][C]0.515[/C][C]0.86033850731489[/C][C]0.0177692702667512[/C][/ROW]
[ROW][C]0.52[/C][C]0.86185148335848[/C][C]0.0178499332357475[/C][/ROW]
[ROW][C]0.525[/C][C]0.863372294218235[/C][C]0.0179306594638612[/C][/ROW]
[ROW][C]0.53[/C][C]0.86490084036248[/C][C]0.0180101805121891[/C][/ROW]
[ROW][C]0.535[/C][C]0.866437021211181[/C][C]0.0180887588131363[/C][/ROW]
[ROW][C]0.54[/C][C]0.867980708107146[/C][C]0.0181670326317408[/C][/ROW]
[ROW][C]0.545[/C][C]0.869531716616364[/C][C]0.0182426657825205[/C][/ROW]
[ROW][C]0.55[/C][C]0.87108977879859[/C][C]0.0183152217343903[/C][/ROW]
[ROW][C]0.555[/C][C]0.872654516107593[/C][C]0.018383189674388[/C][/ROW]
[ROW][C]0.56[/C][C]0.874225413602255[/C][C]0.0184445154323164[/C][/ROW]
[ROW][C]0.565[/C][C]0.87580179617179[/C][C]0.0184986869432896[/C][/ROW]
[ROW][C]0.57[/C][C]0.8773828074957[/C][C]0.0185417822082271[/C][/ROW]
[ROW][C]0.575[/C][C]0.878967392465903[/C][C]0.0185711418697827[/C][/ROW]
[ROW][C]0.58[/C][C]0.880554283787986[/C][C]0.0185853019135757[/C][/ROW]
[ROW][C]0.585[/C][C]0.882141993444517[/C][C]0.0185807007579698[/C][/ROW]
[ROW][C]0.59[/C][C]0.883728809640772[/C][C]0.0185546256675338[/C][/ROW]
[ROW][C]0.595[/C][C]0.885312799758644[/C][C]0.0185049726254956[/C][/ROW]
[ROW][C]0.6[/C][C]0.886891819717403[/C][C]0.0184274237550889[/C][/ROW]
[ROW][C]0.605[/C][C]0.8884635299826[/C][C]0.0183201309933662[/C][/ROW]
[ROW][C]0.61[/C][C]0.890025418282388[/C][C]0.0181815126038245[/C][/ROW]
[ROW][C]0.615[/C][C]0.89157482889246[/C][C]0.0180089438351744[/C][/ROW]
[ROW][C]0.62[/C][C]0.89310899814796[/C][C]0.0178003184355686[/C][/ROW]
[ROW][C]0.625[/C][C]0.894625095646105[/C][C]0.0175555885089826[/C][/ROW]
[ROW][C]0.63[/C][C]0.896120270430917[/C][C]0.0172750557804465[/C][/ROW]
[ROW][C]0.635[/C][C]0.897591701314628[/C][C]0.0169579792264604[/C][/ROW]
[ROW][C]0.64[/C][C]0.899036650400764[/C][C]0.0166064564640451[/C][/ROW]
[ROW][C]0.645[/C][C]0.900452518840171[/C][C]0.016221689059496[/C][/ROW]
[ROW][C]0.65[/C][C]0.90183690387735[/C][C]0.0158060406733841[/C][/ROW]
[ROW][C]0.655[/C][C]0.903187656329494[/C][C]0.0153625193885056[/C][/ROW]
[ROW][C]0.66[/C][C]0.904502937777364[/C][C]0.0148957772281856[/C][/ROW]
[ROW][C]0.665[/C][C]0.905781276922511[/C][C]0.0144091565224269[/C][/ROW]
[ROW][C]0.67[/C][C]0.90702162476036[/C][C]0.0139084949432564[/C][/ROW]
[ROW][C]0.675[/C][C]0.908223408409308[/C][C]0.0133979903424574[/C][/ROW]
[ROW][C]0.68[/C][C]0.90938658359468[/C][C]0.0128841617006653[/C][/ROW]
[ROW][C]0.685[/C][C]0.910511685883681[/C][C]0.0123737931848146[/C][/ROW]
[ROW][C]0.69[/C][C]0.91159988077464[/C][C]0.0118732217969068[/C][/ROW]
[ROW][C]0.695[/C][C]0.912653012634843[/C][C]0.0113881931568975[/C][/ROW]
[ROW][C]0.7[/C][C]0.913673652236734[/C][C]0.0109276070046339[/C][/ROW]
[ROW][C]0.705[/C][C]0.914665142251052[/C][C]0.010499492187601[/C][/ROW]
[ROW][C]0.71[/C][C]0.915631639518715[/C][C]0.0101118222886584[/C][/ROW]
[ROW][C]0.715[/C][C]0.916578152256108[/C][C]0.0097739816098994[/C][/ROW]
[ROW][C]0.72[/C][C]0.917510569581982[/C][C]0.0094955906524746[/C][/ROW]
[ROW][C]0.725[/C][C]0.918435679937233[/C][C]0.00928730737487212[/C][/ROW]
[ROW][C]0.73[/C][C]0.919361174166792[/C][C]0.00916083841819465[/C][/ROW]
[ROW][C]0.735[/C][C]0.920295628327406[/C][C]0.00912687379165225[/C][/ROW]
[ROW][C]0.74[/C][C]0.92124846077014[/C][C]0.00919703433683982[/C][/ROW]
[ROW][C]0.745[/C][C]0.92222985782411[/C][C]0.00937991935349045[/C][/ROW]
[ROW][C]0.75[/C][C]0.923250662581074[/C][C]0.00968438506916855[/C][/ROW]
[ROW][C]0.755[/C][C]0.924322221944859[/C][C]0.0101152973121683[/C][/ROW]
[ROW][C]0.76[/C][C]0.925456188343343[/C][C]0.0106742913471305[/C][/ROW]
[ROW][C]0.765[/C][C]0.926664274353886[/C][C]0.0113594068413920[/C][/ROW]
[ROW][C]0.77[/C][C]0.927957960976565[/C][C]0.0121649595096515[/C][/ROW]
[ROW][C]0.775[/C][C]0.929348163364891[/C][C]0.0130812991346697[/C][/ROW]
[ROW][C]0.78[/C][C]0.930844861394855[/C][C]0.0140954137567437[/C][/ROW]
[ROW][C]0.785[/C][C]0.932456706362175[/C][C]0.0151890292663688[/C][/ROW]
[ROW][C]0.79[/C][C]0.93419061912356[/C][C]0.0163422947029298[/C][/ROW]
[ROW][C]0.795[/C][C]0.936051398861907[/C][C]0.0175302199442381[/C][/ROW]
[ROW][C]0.8[/C][C]0.93804136503149[/C][C]0.0187253547553665[/C][/ROW]
[ROW][C]0.805[/C][C]0.940160057569823[/C][C]0.0198976618965236[/C][/ROW]
[ROW][C]0.81[/C][C]0.942404021780893[/C][C]0.0210153504000639[/C][/ROW]
[ROW][C]0.815[/C][C]0.94476670404746[/C][C]0.0220458127317437[/C][/ROW]
[ROW][C]0.82[/C][C]0.947238482408977[/C][C]0.0229581518854807[/C][/ROW]
[ROW][C]0.825[/C][C]0.949806851808026[/C][C]0.0237213485977124[/C][/ROW]
[ROW][C]0.83[/C][C]0.95245677732272[/C][C]0.0243101462873557[/C][/ROW]
[ROW][C]0.835[/C][C]0.955171219951632[/C][C]0.0247034605007399[/C][/ROW]
[ROW][C]0.84[/C][C]0.957931828639169[/C][C]0.024886670194248[/C][/ROW]
[ROW][C]0.845[/C][C]0.960719779538148[/C][C]0.0248523903562826[/C][/ROW]
[ROW][C]0.85[/C][C]0.963516729523333[/C][C]0.0246046329518060[/C][/ROW]
[ROW][C]0.855[/C][C]0.9663058364517[/C][C]0.0241546036192985[/C][/ROW]
[ROW][C]0.86[/C][C]0.969072784639293[/C][C]0.0235246397989794[/C][/ROW]
[ROW][C]0.865[/C][C]0.971806741818899[/C][C]0.0227469681506455[/C][/ROW]
[ROW][C]0.87[/C][C]0.974501165107276[/C][C]0.0218629790162297[/C][/ROW]
[ROW][C]0.875[/C][C]0.97715437020949[/C][C]0.0209219326696186[/C][/ROW]
[ROW][C]0.88[/C][C]0.979769782440553[/C][C]0.0199805985887911[/C][/ROW]
[ROW][C]0.885[/C][C]0.982355802488656[/C][C]0.0190973891840825[/C][/ROW]
[ROW][C]0.89[/C][C]0.98492524638357[/C][C]0.0183298783311204[/C][/ROW]
[ROW][C]0.895[/C][C]0.987494359542672[/C][C]0.0177293033734479[/C][/ROW]
[ROW][C]0.9[/C][C]0.990081459614085[/C][C]0.0173304254644116[/C][/ROW]
[ROW][C]0.905[/C][C]0.992705330801222[/C][C]0.0171442690578422[/C][/ROW]
[ROW][C]0.91[/C][C]0.995383569202758[/C][C]0.0171531920939682[/C][/ROW]
[ROW][C]0.915[/C][C]0.998131156011132[/C][C]0.0173115013737246[/C][/ROW]
[ROW][C]0.92[/C][C]1.00095959904421[/C][C]0.0175490373660681[/C][/ROW]
[ROW][C]0.925[/C][C]1.00387701158857[/C][C]0.0177851170554244[/C][/ROW]
[ROW][C]0.93[/C][C]1.00688946092654[/C][C]0.0179383444747054[/C][/ROW]
[ROW][C]0.935[/C][C]1.01000377894381[/C][C]0.0179413450399507[/C][/ROW]
[ROW][C]0.94[/C][C]1.01323174117392[/C][C]0.0177538738190025[/C][/ROW]
[ROW][C]0.945[/C][C]1.01659505222770[/C][C]0.0173787755922235[/C][/ROW]
[ROW][C]0.95[/C][C]1.02012991713674[/C][C]0.0168765909408637[/C][/ROW]
[ROW][C]0.955[/C][C]1.0238891883022[/C][C]0.0163837185740052[/C][/ROW]
[ROW][C]0.96[/C][C]1.02793933351931[/C][C]0.0161209786732948[/C][/ROW]
[ROW][C]0.965[/C][C]1.03234912211309[/C][C]0.0163772628548821[/C][/ROW]
[ROW][C]0.97[/C][C]1.03716752119492[/C][C]0.0174324825582754[/C][/ROW]
[ROW][C]0.975[/C][C]1.04239051104476[/C][C]0.0194346308279013[/C][/ROW]
[ROW][C]0.98[/C][C]1.04792093717468[/C][C]0.0223196274919401[/C][/ROW]
[ROW][C]0.985[/C][C]1.05353209164506[/C][C]0.0258175092461661[/C][/ROW]
[ROW][C]0.99[/C][C]1.05885312369223[/C][C]0.0295050170940449[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=1391&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=1391&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
0.010.6903574823081830.0257493744938832
0.0150.695328516391510.0237478877648397
0.020.7006851289064970.021734532514729
0.0250.7060633492676350.0198465789395556
0.030.7112036616821370.0181409407214812
0.0350.7159516138801480.0166215258042675
0.040.720238984384720.0152701505942662
0.0450.7240586011050520.0140703182613428
0.050.7274408814134870.0130169628370724
0.0550.7304356673923330.0121149909956676
0.060.7330999213570140.0113755336274530
0.0650.7354903216164830.0108066015941988
0.070.7376593354487550.0104102672587416
0.0750.7396534689499880.0101793297879612
0.080.741512738453780.0100957980377989
0.0850.7432707621623240.0101353192153298
0.090.744955141615840.0102701844619835
0.0950.7465879741608710.0104732151930134
0.10.7481864285820480.0107193845356072
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Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.01 ; par2 = 0.99 ; par3 = 0.005 ;
Parameters (R input):
par1 = 0.01 ; par2 = 0.99 ; par3 = 0.005 ;
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')