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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, 27 Oct 2008 14:43:11 -0600
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Oct/27/t1225140290d93tq9rpslrsjhe.htm/, Retrieved Sun, 19 May 2024 16:39:02 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=19597, Retrieved Sun, 19 May 2024 16:39:02 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact150

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] [Investigating dis...] [2007-10-22 20:06:26] [b9964c45117f7aac638ab9056d451faa]
F   PD    [Harrell-Davis Quantiles] [Q9] [2008-10-27 20:43:11] [84a986a411c52e49a8807521f8b9f7a0] [Current]
- R  D      [Harrell-Davis Quantiles] [Q9] [2008-10-30 18:29:15] [491a70d26f8c977398d8a0c1c87d3dd4]
-   P         [Harrell-Davis Quantiles] [Q9 manier 2] [2008-10-30 18:49:24] [491a70d26f8c977398d8a0c1c87d3dd4]
-   PD      [Harrell-Davis Quantiles] [Q 9 manier 1] [2008-10-30 18:35:37] [491a70d26f8c977398d8a0c1c87d3dd4]
- R  D      [Harrell-Davis Quantiles] [Investigating Dis...] [2008-10-31 21:19:33] [82970caad4b026be9dd352fdec547fe4]
- R PD      [Harrell-Davis Quantiles] [Investigating Dis...] [2008-10-31 21:28:18] [82970caad4b026be9dd352fdec547fe4]
- R  D      [Harrell-Davis Quantiles] [Q9 Harrell – Davi...] [2008-11-01 15:19:15] [d134696a922d84037f02d49ded84b0bd]
-   P         [Harrell-Davis Quantiles] [Q9 Harrell – Davi...] [2008-11-01 15:21:39] [d134696a922d84037f02d49ded84b0bd]
Feedback Forum
2008-10-31 21:30:34 [Ruben Jacobs] [reply] 
Voor de vraag had je de constante component van je reeks moeten aftrekken. Op die manier kan je het betrouwbaarheidsinterval van de random component berekenen.
Dit doe je door in de R-code de lijn in te voeren met x <- x-126.997666666667 (gemiddelde).
Op die manier kom je een heel ander betrouwbaarheidsinterval uit met -13.9501328902375 en 35.2115381201502 als grenzen.
http://www.freestatistics.org/blog/index.php?v=date/2008/Oct/31/t1225488595dad49wl9ur3f7mh.htm
2008-11-01 15:24:23 [Stijn Van de Velde] [reply] 
Dit is niet juist. Je had van de grenzen die je neemt voor je betrouwbaarheidsinterval nog een constane (bv: gemiddelde) moeten aftrekken. Zo kan je de grenzen van de random component berekenen.

Ik heb deze berekening opnieuw gemaakt, en bij step size 0.005 genomen om zo een 95% interval te kunnen nemen(2.5 aan elke staart). Daarnaast heb ik ook in de R-code een lijn toegevoegd, namelijk 'x <- x-126.997666666667'
Link: http://www.freestatistics.org/blog/date/2008/Nov/01/t12255529464nu88ssplggbelj.htm

Hier zijn de grenzen van het betrouwbaarheids interval dus -13.9501328902375 en 35.2115381201502
2008-11-02 14:50:37 [Ciska Tanghe] [reply] 
Dit antwoord is inderdaad niet juist. Het correcte resultaat kan bekomen worden door de twee manieren (hierboven vermeld door andere studenten) uit te voeren.
2008-11-03 18:32:59 [9142cf052ad32d043faa9486189092cf] [reply] 
De student heeft enkel zijn gegevens geblogd maar geen uitleg gegeven.
Ik denk dat je deze oefening op de volgende twee manieren moet oplossen.
Manier 1

In het betrouwbaarheidsinterval van Harrell-Davis Quantiles zetten we de stepsize eerst op 0,005. Er moet telkens 2,5% wegvallen aan de staarten om de 95% betrouwbaarheidsinterval te bekomen.

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2008/Oct/30/t12253918097zx8gnsn8ydwgh7.htm , Retrieved Thu, 30 Oct 2008 18:36:53 +0000

2,5% geeft een waarde van 113.047533776429
97,5% geeft een waarde van 162.209204786817
Er is 95% kans dat de waarden vallen tussen 113.047533776429 en 162.209204786817.

Daarna zoeken we het gemiddelde van deze reeks. Het gemiddelde is 126.997666666667.

Daarna verminderen we onze minimum- en maximumwaarde van het interval met het gemiddelde.

MIN 113.047533776429–126.997666666667= -13,950132890238
MAX 162.209204786817–126.997666666667= 35,21153812


Rekening houden met outliers: gemiddelde aftrekken
Geen rekening houden met outliers: mediaan aftrekken

Je kan dit resultaat ook bekomen op een andere manier

Manier 2:
Je kan de R-code veranderen door bovenaan x door ‘x <- x –gemiddelde’ toe te voegen

Het voordeel van deze methode is dat je achteraf geen berekeningen meer moet gaan uitvoeren zoals bij de eerste methode.

Voorbeeld

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2008/Oct/30/t122539267405xxqsmuu1zjl0z.htm, Retrieved Thu, 30 Oct 2008 18:51:19 +0000
2008-11-03 21:05:37 [Chi-Kwong Man] [reply] 
Correcte resultaat kan je verkrijgen door R-code aan te passen (x <- x-gemiddelde). Als je dit doet bekom je een heel ander betrouwbaarheidsinterval.

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
118,63
121,83
119,97
124,98
129,99
126,60
121,71
119,28
122,63
116,74
114,23
113,23
112,75
113,54
115,30
121,05
119,51
116,78
117,17
117,50
119,65
120,97
117,18
116,87
119,46
122,52
124,10
118,39
113,10
113,94
114,58
118,79
120,44
118,37
118,44
117,93
117,76
118,29
121,11
124,86
131,17
130,16
131,76
134,70
135,32
140,23
136,31
131,62
128,90
133,89
138,21
146,12
144,69
149,18
156,60
158,87
164,85
162,89
153,31
150,91

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 3 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=19597&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]3 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=19597&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=19597&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 time3 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Harrell-Davis Quantiles
quantilesvaluestandard error
0.01112.8359146348500.314927048121383
0.02112.9705249161560.300986077072493
0.03113.1281438268140.333490672905042
0.04113.2975397041680.408072862468741
0.05113.4793983970690.506034102727446
0.06113.6782820251880.616035542237812
0.07113.8977655970270.7326300152774
0.08114.1390186785820.851078885815095
0.09114.4007930272000.963424382460245
0.1114.6796154871421.05865879446791
0.11114.9700264062051.12625552992470
0.12115.2650668187611.15856296052216
0.13115.5571040252331.15334815863503
0.14115.8388605264821.11430186141254
0.15116.1043845229471.04966964220583
0.16116.3497170421920.970434703500167
0.17116.5731256103500.887767299182769
0.18116.7749152039270.810835778001436
0.19116.9569358497790.745856384036654
0.2117.1219550557200.695317303020296
0.21117.2730539307860.65843483161214
0.22117.4131582465390.632696093392493
0.23117.5447546837910.614488277454156
0.24117.6697882910910.601047680457408
0.25117.7897009218510.590343334023884
0.26117.9055545610480.581409237152015
0.27118.0181845356390.574440610471655
0.28118.1283395515770.570241353659533
0.29118.2367821646710.569761604267064
0.3118.3443398323280.57403912083865
0.31118.4519100100570.583831122666553
0.32118.5604313699310.599152511469463
0.33118.6708369243330.619640702587421
0.34118.7840043408460.644869821724209
0.35118.9007152992140.673774289748907
0.36119.0216308745510.705427386678711
0.37119.1472850696950.739280826872247
0.38119.2780948666420.774538489732988
0.39119.41438310810.811059304869652
0.4119.5564101714370.8484420159939
0.41119.7044112914150.886847940696267
0.42119.858637779180.926196564576612
0.43120.0194015057100.967249509992757
0.44120.1871223164961.01034561064862
0.45120.36237733191.05676996991596
0.46120.5459495612251.10779606762642
0.47120.7388714031991.16521893715972
0.48120.9424570186801.23098883211163
0.49121.1583167622091.30699926670132
0.5121.3883471452331.39524654510211
0.51121.6346911983581.49725193840957
0.52121.8996663935021.61361746969691
0.53122.1856601519801.74430439556003
0.54122.4949960874571.88838773728216
0.55122.8297773079062.04384563756417
0.56123.1917162450552.20759900703511
0.57123.5819635566882.37543888288818
0.58124.0009515285822.54252348197496
0.59124.4482697320292.70320196094538
0.6124.9225918228982.85152918564926
0.61125.4216714395942.98159285875258
0.62125.9424213357543.08831481425692
0.63126.4810827134373.16774635864369
0.64127.0334814921553.21756798099422
0.65127.5953562197823.23770744564897
0.66128.1627306905993.23080731697081
0.67128.7322957948573.20152042492721
0.68129.3017621956263.15715384558282
0.69129.8701495454893.10615553101798
0.7130.4379887131593.05829063575613
0.71131.0074283194573.02270929999706
0.72131.5822514119753.00843476449773
0.73132.1678172864123.02276907530914
0.74132.7709432640093.07193614881606
0.75133.3997304978023.16054549433585
0.76134.0633196393443.29195630539273
0.77134.7715438311153.46782278423325
0.78135.5344382367623.68684176824107
0.79136.3615771560223.94429276786971
0.8137.2612472599244.23056576841371
0.81138.2395258470134.53062784502642
0.82139.2994029995624.82513230292176
0.83140.4401434769915.09181743174718
0.84141.6571012542225.30856911195941
0.85142.9421544455585.45751577620987
0.86144.2848137279865.52799628977742
0.87145.6738905289085.51955445794489
0.88147.0994372214925.44194224316581
0.89148.5545541262765.31354717765501
0.9150.0366515168435.15617803134169
0.91151.5478575323924.98945429364804
0.92153.094376709044.82501594953399
0.93154.6845526086394.66461238533882
0.94156.3250427432424.49997762631869
0.95158.013966110574.30871310649131
0.96159.7295007626874.04081165261796
0.97161.4129361912123.61736116273386
0.98162.9489565388022.99755176716625
0.99164.1590454094962.32675975512612

\begin{tabular}{lllllllll}
\hline
Harrell-Davis Quantiles \tabularnewline
quantiles & value & standard error \tabularnewline
0.01 & 112.835914634850 & 0.314927048121383 \tabularnewline
0.02 & 112.970524916156 & 0.300986077072493 \tabularnewline
0.03 & 113.128143826814 & 0.333490672905042 \tabularnewline
0.04 & 113.297539704168 & 0.408072862468741 \tabularnewline
0.05 & 113.479398397069 & 0.506034102727446 \tabularnewline
0.06 & 113.678282025188 & 0.616035542237812 \tabularnewline
0.07 & 113.897765597027 & 0.7326300152774 \tabularnewline
0.08 & 114.139018678582 & 0.851078885815095 \tabularnewline
0.09 & 114.400793027200 & 0.963424382460245 \tabularnewline
0.1 & 114.679615487142 & 1.05865879446791 \tabularnewline
0.11 & 114.970026406205 & 1.12625552992470 \tabularnewline
0.12 & 115.265066818761 & 1.15856296052216 \tabularnewline
0.13 & 115.557104025233 & 1.15334815863503 \tabularnewline
0.14 & 115.838860526482 & 1.11430186141254 \tabularnewline
0.15 & 116.104384522947 & 1.04966964220583 \tabularnewline
0.16 & 116.349717042192 & 0.970434703500167 \tabularnewline
0.17 & 116.573125610350 & 0.887767299182769 \tabularnewline
0.18 & 116.774915203927 & 0.810835778001436 \tabularnewline
0.19 & 116.956935849779 & 0.745856384036654 \tabularnewline
0.2 & 117.121955055720 & 0.695317303020296 \tabularnewline
0.21 & 117.273053930786 & 0.65843483161214 \tabularnewline
0.22 & 117.413158246539 & 0.632696093392493 \tabularnewline
0.23 & 117.544754683791 & 0.614488277454156 \tabularnewline
0.24 & 117.669788291091 & 0.601047680457408 \tabularnewline
0.25 & 117.789700921851 & 0.590343334023884 \tabularnewline
0.26 & 117.905554561048 & 0.581409237152015 \tabularnewline
0.27 & 118.018184535639 & 0.574440610471655 \tabularnewline
0.28 & 118.128339551577 & 0.570241353659533 \tabularnewline
0.29 & 118.236782164671 & 0.569761604267064 \tabularnewline
0.3 & 118.344339832328 & 0.57403912083865 \tabularnewline
0.31 & 118.451910010057 & 0.583831122666553 \tabularnewline
0.32 & 118.560431369931 & 0.599152511469463 \tabularnewline
0.33 & 118.670836924333 & 0.619640702587421 \tabularnewline
0.34 & 118.784004340846 & 0.644869821724209 \tabularnewline
0.35 & 118.900715299214 & 0.673774289748907 \tabularnewline
0.36 & 119.021630874551 & 0.705427386678711 \tabularnewline
0.37 & 119.147285069695 & 0.739280826872247 \tabularnewline
0.38 & 119.278094866642 & 0.774538489732988 \tabularnewline
0.39 & 119.4143831081 & 0.811059304869652 \tabularnewline
0.4 & 119.556410171437 & 0.8484420159939 \tabularnewline
0.41 & 119.704411291415 & 0.886847940696267 \tabularnewline
0.42 & 119.85863777918 & 0.926196564576612 \tabularnewline
0.43 & 120.019401505710 & 0.967249509992757 \tabularnewline
0.44 & 120.187122316496 & 1.01034561064862 \tabularnewline
0.45 & 120.3623773319 & 1.05676996991596 \tabularnewline
0.46 & 120.545949561225 & 1.10779606762642 \tabularnewline
0.47 & 120.738871403199 & 1.16521893715972 \tabularnewline
0.48 & 120.942457018680 & 1.23098883211163 \tabularnewline
0.49 & 121.158316762209 & 1.30699926670132 \tabularnewline
0.5 & 121.388347145233 & 1.39524654510211 \tabularnewline
0.51 & 121.634691198358 & 1.49725193840957 \tabularnewline
0.52 & 121.899666393502 & 1.61361746969691 \tabularnewline
0.53 & 122.185660151980 & 1.74430439556003 \tabularnewline
0.54 & 122.494996087457 & 1.88838773728216 \tabularnewline
0.55 & 122.829777307906 & 2.04384563756417 \tabularnewline
0.56 & 123.191716245055 & 2.20759900703511 \tabularnewline
0.57 & 123.581963556688 & 2.37543888288818 \tabularnewline
0.58 & 124.000951528582 & 2.54252348197496 \tabularnewline
0.59 & 124.448269732029 & 2.70320196094538 \tabularnewline
0.6 & 124.922591822898 & 2.85152918564926 \tabularnewline
0.61 & 125.421671439594 & 2.98159285875258 \tabularnewline
0.62 & 125.942421335754 & 3.08831481425692 \tabularnewline
0.63 & 126.481082713437 & 3.16774635864369 \tabularnewline
0.64 & 127.033481492155 & 3.21756798099422 \tabularnewline
0.65 & 127.595356219782 & 3.23770744564897 \tabularnewline
0.66 & 128.162730690599 & 3.23080731697081 \tabularnewline
0.67 & 128.732295794857 & 3.20152042492721 \tabularnewline
0.68 & 129.301762195626 & 3.15715384558282 \tabularnewline
0.69 & 129.870149545489 & 3.10615553101798 \tabularnewline
0.7 & 130.437988713159 & 3.05829063575613 \tabularnewline
0.71 & 131.007428319457 & 3.02270929999706 \tabularnewline
0.72 & 131.582251411975 & 3.00843476449773 \tabularnewline
0.73 & 132.167817286412 & 3.02276907530914 \tabularnewline
0.74 & 132.770943264009 & 3.07193614881606 \tabularnewline
0.75 & 133.399730497802 & 3.16054549433585 \tabularnewline
0.76 & 134.063319639344 & 3.29195630539273 \tabularnewline
0.77 & 134.771543831115 & 3.46782278423325 \tabularnewline
0.78 & 135.534438236762 & 3.68684176824107 \tabularnewline
0.79 & 136.361577156022 & 3.94429276786971 \tabularnewline
0.8 & 137.261247259924 & 4.23056576841371 \tabularnewline
0.81 & 138.239525847013 & 4.53062784502642 \tabularnewline
0.82 & 139.299402999562 & 4.82513230292176 \tabularnewline
0.83 & 140.440143476991 & 5.09181743174718 \tabularnewline
0.84 & 141.657101254222 & 5.30856911195941 \tabularnewline
0.85 & 142.942154445558 & 5.45751577620987 \tabularnewline
0.86 & 144.284813727986 & 5.52799628977742 \tabularnewline
0.87 & 145.673890528908 & 5.51955445794489 \tabularnewline
0.88 & 147.099437221492 & 5.44194224316581 \tabularnewline
0.89 & 148.554554126276 & 5.31354717765501 \tabularnewline
0.9 & 150.036651516843 & 5.15617803134169 \tabularnewline
0.91 & 151.547857532392 & 4.98945429364804 \tabularnewline
0.92 & 153.09437670904 & 4.82501594953399 \tabularnewline
0.93 & 154.684552608639 & 4.66461238533882 \tabularnewline
0.94 & 156.325042743242 & 4.49997762631869 \tabularnewline
0.95 & 158.01396611057 & 4.30871310649131 \tabularnewline
0.96 & 159.729500762687 & 4.04081165261796 \tabularnewline
0.97 & 161.412936191212 & 3.61736116273386 \tabularnewline
0.98 & 162.948956538802 & 2.99755176716625 \tabularnewline
0.99 & 164.159045409496 & 2.32675975512612 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=19597&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]112.835914634850[/C][C]0.314927048121383[/C][/ROW]
[ROW][C]0.02[/C][C]112.970524916156[/C][C]0.300986077072493[/C][/ROW]
[ROW][C]0.03[/C][C]113.128143826814[/C][C]0.333490672905042[/C][/ROW]
[ROW][C]0.04[/C][C]113.297539704168[/C][C]0.408072862468741[/C][/ROW]
[ROW][C]0.05[/C][C]113.479398397069[/C][C]0.506034102727446[/C][/ROW]
[ROW][C]0.06[/C][C]113.678282025188[/C][C]0.616035542237812[/C][/ROW]
[ROW][C]0.07[/C][C]113.897765597027[/C][C]0.7326300152774[/C][/ROW]
[ROW][C]0.08[/C][C]114.139018678582[/C][C]0.851078885815095[/C][/ROW]
[ROW][C]0.09[/C][C]114.400793027200[/C][C]0.963424382460245[/C][/ROW]
[ROW][C]0.1[/C][C]114.679615487142[/C][C]1.05865879446791[/C][/ROW]
[ROW][C]0.11[/C][C]114.970026406205[/C][C]1.12625552992470[/C][/ROW]
[ROW][C]0.12[/C][C]115.265066818761[/C][C]1.15856296052216[/C][/ROW]
[ROW][C]0.13[/C][C]115.557104025233[/C][C]1.15334815863503[/C][/ROW]
[ROW][C]0.14[/C][C]115.838860526482[/C][C]1.11430186141254[/C][/ROW]
[ROW][C]0.15[/C][C]116.104384522947[/C][C]1.04966964220583[/C][/ROW]
[ROW][C]0.16[/C][C]116.349717042192[/C][C]0.970434703500167[/C][/ROW]
[ROW][C]0.17[/C][C]116.573125610350[/C][C]0.887767299182769[/C][/ROW]
[ROW][C]0.18[/C][C]116.774915203927[/C][C]0.810835778001436[/C][/ROW]
[ROW][C]0.19[/C][C]116.956935849779[/C][C]0.745856384036654[/C][/ROW]
[ROW][C]0.2[/C][C]117.121955055720[/C][C]0.695317303020296[/C][/ROW]
[ROW][C]0.21[/C][C]117.273053930786[/C][C]0.65843483161214[/C][/ROW]
[ROW][C]0.22[/C][C]117.413158246539[/C][C]0.632696093392493[/C][/ROW]
[ROW][C]0.23[/C][C]117.544754683791[/C][C]0.614488277454156[/C][/ROW]
[ROW][C]0.24[/C][C]117.669788291091[/C][C]0.601047680457408[/C][/ROW]
[ROW][C]0.25[/C][C]117.789700921851[/C][C]0.590343334023884[/C][/ROW]
[ROW][C]0.26[/C][C]117.905554561048[/C][C]0.581409237152015[/C][/ROW]
[ROW][C]0.27[/C][C]118.018184535639[/C][C]0.574440610471655[/C][/ROW]
[ROW][C]0.28[/C][C]118.128339551577[/C][C]0.570241353659533[/C][/ROW]
[ROW][C]0.29[/C][C]118.236782164671[/C][C]0.569761604267064[/C][/ROW]
[ROW][C]0.3[/C][C]118.344339832328[/C][C]0.57403912083865[/C][/ROW]
[ROW][C]0.31[/C][C]118.451910010057[/C][C]0.583831122666553[/C][/ROW]
[ROW][C]0.32[/C][C]118.560431369931[/C][C]0.599152511469463[/C][/ROW]
[ROW][C]0.33[/C][C]118.670836924333[/C][C]0.619640702587421[/C][/ROW]
[ROW][C]0.34[/C][C]118.784004340846[/C][C]0.644869821724209[/C][/ROW]
[ROW][C]0.35[/C][C]118.900715299214[/C][C]0.673774289748907[/C][/ROW]
[ROW][C]0.36[/C][C]119.021630874551[/C][C]0.705427386678711[/C][/ROW]
[ROW][C]0.37[/C][C]119.147285069695[/C][C]0.739280826872247[/C][/ROW]
[ROW][C]0.38[/C][C]119.278094866642[/C][C]0.774538489732988[/C][/ROW]
[ROW][C]0.39[/C][C]119.4143831081[/C][C]0.811059304869652[/C][/ROW]
[ROW][C]0.4[/C][C]119.556410171437[/C][C]0.8484420159939[/C][/ROW]
[ROW][C]0.41[/C][C]119.704411291415[/C][C]0.886847940696267[/C][/ROW]
[ROW][C]0.42[/C][C]119.85863777918[/C][C]0.926196564576612[/C][/ROW]
[ROW][C]0.43[/C][C]120.019401505710[/C][C]0.967249509992757[/C][/ROW]
[ROW][C]0.44[/C][C]120.187122316496[/C][C]1.01034561064862[/C][/ROW]
[ROW][C]0.45[/C][C]120.3623773319[/C][C]1.05676996991596[/C][/ROW]
[ROW][C]0.46[/C][C]120.545949561225[/C][C]1.10779606762642[/C][/ROW]
[ROW][C]0.47[/C][C]120.738871403199[/C][C]1.16521893715972[/C][/ROW]
[ROW][C]0.48[/C][C]120.942457018680[/C][C]1.23098883211163[/C][/ROW]
[ROW][C]0.49[/C][C]121.158316762209[/C][C]1.30699926670132[/C][/ROW]
[ROW][C]0.5[/C][C]121.388347145233[/C][C]1.39524654510211[/C][/ROW]
[ROW][C]0.51[/C][C]121.634691198358[/C][C]1.49725193840957[/C][/ROW]
[ROW][C]0.52[/C][C]121.899666393502[/C][C]1.61361746969691[/C][/ROW]
[ROW][C]0.53[/C][C]122.185660151980[/C][C]1.74430439556003[/C][/ROW]
[ROW][C]0.54[/C][C]122.494996087457[/C][C]1.88838773728216[/C][/ROW]
[ROW][C]0.55[/C][C]122.829777307906[/C][C]2.04384563756417[/C][/ROW]
[ROW][C]0.56[/C][C]123.191716245055[/C][C]2.20759900703511[/C][/ROW]
[ROW][C]0.57[/C][C]123.581963556688[/C][C]2.37543888288818[/C][/ROW]
[ROW][C]0.58[/C][C]124.000951528582[/C][C]2.54252348197496[/C][/ROW]
[ROW][C]0.59[/C][C]124.448269732029[/C][C]2.70320196094538[/C][/ROW]
[ROW][C]0.6[/C][C]124.922591822898[/C][C]2.85152918564926[/C][/ROW]
[ROW][C]0.61[/C][C]125.421671439594[/C][C]2.98159285875258[/C][/ROW]
[ROW][C]0.62[/C][C]125.942421335754[/C][C]3.08831481425692[/C][/ROW]
[ROW][C]0.63[/C][C]126.481082713437[/C][C]3.16774635864369[/C][/ROW]
[ROW][C]0.64[/C][C]127.033481492155[/C][C]3.21756798099422[/C][/ROW]
[ROW][C]0.65[/C][C]127.595356219782[/C][C]3.23770744564897[/C][/ROW]
[ROW][C]0.66[/C][C]128.162730690599[/C][C]3.23080731697081[/C][/ROW]
[ROW][C]0.67[/C][C]128.732295794857[/C][C]3.20152042492721[/C][/ROW]
[ROW][C]0.68[/C][C]129.301762195626[/C][C]3.15715384558282[/C][/ROW]
[ROW][C]0.69[/C][C]129.870149545489[/C][C]3.10615553101798[/C][/ROW]
[ROW][C]0.7[/C][C]130.437988713159[/C][C]3.05829063575613[/C][/ROW]
[ROW][C]0.71[/C][C]131.007428319457[/C][C]3.02270929999706[/C][/ROW]
[ROW][C]0.72[/C][C]131.582251411975[/C][C]3.00843476449773[/C][/ROW]
[ROW][C]0.73[/C][C]132.167817286412[/C][C]3.02276907530914[/C][/ROW]
[ROW][C]0.74[/C][C]132.770943264009[/C][C]3.07193614881606[/C][/ROW]
[ROW][C]0.75[/C][C]133.399730497802[/C][C]3.16054549433585[/C][/ROW]
[ROW][C]0.76[/C][C]134.063319639344[/C][C]3.29195630539273[/C][/ROW]
[ROW][C]0.77[/C][C]134.771543831115[/C][C]3.46782278423325[/C][/ROW]
[ROW][C]0.78[/C][C]135.534438236762[/C][C]3.68684176824107[/C][/ROW]
[ROW][C]0.79[/C][C]136.361577156022[/C][C]3.94429276786971[/C][/ROW]
[ROW][C]0.8[/C][C]137.261247259924[/C][C]4.23056576841371[/C][/ROW]
[ROW][C]0.81[/C][C]138.239525847013[/C][C]4.53062784502642[/C][/ROW]
[ROW][C]0.82[/C][C]139.299402999562[/C][C]4.82513230292176[/C][/ROW]
[ROW][C]0.83[/C][C]140.440143476991[/C][C]5.09181743174718[/C][/ROW]
[ROW][C]0.84[/C][C]141.657101254222[/C][C]5.30856911195941[/C][/ROW]
[ROW][C]0.85[/C][C]142.942154445558[/C][C]5.45751577620987[/C][/ROW]
[ROW][C]0.86[/C][C]144.284813727986[/C][C]5.52799628977742[/C][/ROW]
[ROW][C]0.87[/C][C]145.673890528908[/C][C]5.51955445794489[/C][/ROW]
[ROW][C]0.88[/C][C]147.099437221492[/C][C]5.44194224316581[/C][/ROW]
[ROW][C]0.89[/C][C]148.554554126276[/C][C]5.31354717765501[/C][/ROW]
[ROW][C]0.9[/C][C]150.036651516843[/C][C]5.15617803134169[/C][/ROW]
[ROW][C]0.91[/C][C]151.547857532392[/C][C]4.98945429364804[/C][/ROW]
[ROW][C]0.92[/C][C]153.09437670904[/C][C]4.82501594953399[/C][/ROW]
[ROW][C]0.93[/C][C]154.684552608639[/C][C]4.66461238533882[/C][/ROW]
[ROW][C]0.94[/C][C]156.325042743242[/C][C]4.49997762631869[/C][/ROW]
[ROW][C]0.95[/C][C]158.01396611057[/C][C]4.30871310649131[/C][/ROW]
[ROW][C]0.96[/C][C]159.729500762687[/C][C]4.04081165261796[/C][/ROW]
[ROW][C]0.97[/C][C]161.412936191212[/C][C]3.61736116273386[/C][/ROW]
[ROW][C]0.98[/C][C]162.948956538802[/C][C]2.99755176716625[/C][/ROW]
[ROW][C]0.99[/C][C]164.159045409496[/C][C]2.32675975512612[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=19597&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=19597&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
0.01112.8359146348500.314927048121383
0.02112.9705249161560.300986077072493
0.03113.1281438268140.333490672905042
0.04113.2975397041680.408072862468741
0.05113.4793983970690.506034102727446
0.06113.6782820251880.616035542237812
0.07113.8977655970270.7326300152774
0.08114.1390186785820.851078885815095
0.09114.4007930272000.963424382460245
0.1114.6796154871421.05865879446791
0.11114.9700264062051.12625552992470
0.12115.2650668187611.15856296052216
0.13115.5571040252331.15334815863503
0.14115.8388605264821.11430186141254
0.15116.1043845229471.04966964220583
0.16116.3497170421920.970434703500167
0.17116.5731256103500.887767299182769
0.18116.7749152039270.810835778001436
0.19116.9569358497790.745856384036654
0.2117.1219550557200.695317303020296
0.21117.2730539307860.65843483161214
0.22117.4131582465390.632696093392493
0.23117.5447546837910.614488277454156
0.24117.6697882910910.601047680457408
0.25117.7897009218510.590343334023884
0.26117.9055545610480.581409237152015
0.27118.0181845356390.574440610471655
0.28118.1283395515770.570241353659533
0.29118.2367821646710.569761604267064
0.3118.3443398323280.57403912083865
0.31118.4519100100570.583831122666553
0.32118.5604313699310.599152511469463
0.33118.6708369243330.619640702587421
0.34118.7840043408460.644869821724209
0.35118.9007152992140.673774289748907
0.36119.0216308745510.705427386678711
0.37119.1472850696950.739280826872247
0.38119.2780948666420.774538489732988
0.39119.41438310810.811059304869652
0.4119.5564101714370.8484420159939
0.41119.7044112914150.886847940696267
0.42119.858637779180.926196564576612
0.43120.0194015057100.967249509992757
0.44120.1871223164961.01034561064862
0.45120.36237733191.05676996991596
0.46120.5459495612251.10779606762642
0.47120.7388714031991.16521893715972
0.48120.9424570186801.23098883211163
0.49121.1583167622091.30699926670132
0.5121.3883471452331.39524654510211
0.51121.6346911983581.49725193840957
0.52121.8996663935021.61361746969691
0.53122.1856601519801.74430439556003
0.54122.4949960874571.88838773728216
0.55122.8297773079062.04384563756417
0.56123.1917162450552.20759900703511
0.57123.5819635566882.37543888288818
0.58124.0009515285822.54252348197496
0.59124.4482697320292.70320196094538
0.6124.9225918228982.85152918564926
0.61125.4216714395942.98159285875258
0.62125.9424213357543.08831481425692
0.63126.4810827134373.16774635864369
0.64127.0334814921553.21756798099422
0.65127.5953562197823.23770744564897
0.66128.1627306905993.23080731697081
0.67128.7322957948573.20152042492721
0.68129.3017621956263.15715384558282
0.69129.8701495454893.10615553101798
0.7130.4379887131593.05829063575613
0.71131.0074283194573.02270929999706
0.72131.5822514119753.00843476449773
0.73132.1678172864123.02276907530914
0.74132.7709432640093.07193614881606
0.75133.3997304978023.16054549433585
0.76134.0633196393443.29195630539273
0.77134.7715438311153.46782278423325
0.78135.5344382367623.68684176824107
0.79136.3615771560223.94429276786971
0.8137.2612472599244.23056576841371
0.81138.2395258470134.53062784502642
0.82139.2994029995624.82513230292176
0.83140.4401434769915.09181743174718
0.84141.6571012542225.30856911195941
0.85142.9421544455585.45751577620987
0.86144.2848137279865.52799628977742
0.87145.6738905289085.51955445794489
0.88147.0994372214925.44194224316581
0.89148.5545541262765.31354717765501
0.9150.0366515168435.15617803134169
0.91151.5478575323924.98945429364804
0.92153.094376709044.82501594953399
0.93154.6845526086394.66461238533882
0.94156.3250427432424.49997762631869
0.95158.013966110574.30871310649131
0.96159.7295007626874.04081165261796
0.97161.4129361912123.61736116273386
0.98162.9489565388022.99755176716625
0.99164.1590454094962.32675975512612


Figures (Output of Computation)

Input Parameters & R Code

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