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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_harrell_davis.wasp
Title produced by softwareHarrell-Davis Quantiles
Date of computationWed, 11 Feb 2015 21:32:26 +0000
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/Feb/11/t1423690473791woozwo5tcffc.htm/, Retrieved Fri, 22 May 2026 13:27:16 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=277063, Retrieved Fri, 22 May 2026 13:27:16 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact322

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] [] [2015-02-11 21:32:26] [87e7ca6f558d0278e2a63754d8e5cb91] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
73.97
73.97
73.97
73.97
73.97
73.97
73.96
74.44
75.43
75.77
75.82
75.85
75.85
75.85
77.95
82.07
84.82
85.08
85.34
85.65
85.65
85.72
85.73
85.73
85.73
85.73
85.74
86.32
87.59
87.81
87.87
87.94
87.96
88.01
88.01
88.01
88.01
88.01
88.59
89.43
89.63
89.73
89.88
89.89
89.9
89.91
89.86
90.07
90.17
90.17
90.28
90.87
92.05
92.1
92.16
92.22
92.25
92.29
92.29
92.29
92.29
92.29
91.95
91.82
92.16
92.31
92.33
92.4
92.54
92.49
92.54
92.58
92.58
92.39
92.33
93.59
95.51
95.99
96.22
97.2
98.54
99.64
100.23
100.17
100.28
100.44
100.54
100.64
103.27
104.31
104.97
106.42
108.17
108.68
109.15
109.19

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gertrude Mary Cox' @ cox.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 & 1 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=277063&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=277063&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=277063&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 time1 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net






Harrell-Davis Quantiles
quantilesvaluestandard error
0.0574.13656421898030.341239824486519
0.175.6653634423651.47221932659226
0.1579.53773832567793.70576371723257
0.284.06289838374912.2752034744123
0.2585.93163773636080.888119925005812
0.387.00195031872260.94324857539147
0.3587.95798641157230.770753906455607
0.488.80348539059820.817274774574131
0.4589.62689429844860.731883263776553
0.590.40388055459570.797304527179732
0.5591.27739981840870.844184739273686
0.691.95849242857910.458612290324208
0.6592.25293554663830.155847561028694
0.792.455249643420.261187637306502
0.7593.22251002249441.11813432111002
0.895.52090622209272.35597854850296
0.8598.71458912574372.03634408154358
0.9101.4912521581111.74444991937389
0.95106.1201699850262.24743385485116

\begin{tabular}{lllllllll}
\hline
Harrell-Davis Quantiles \tabularnewline
quantiles & value & standard error \tabularnewline
0.05 & 74.1365642189803 & 0.341239824486519 \tabularnewline
0.1 & 75.665363442365 & 1.47221932659226 \tabularnewline
0.15 & 79.5377383256779 & 3.70576371723257 \tabularnewline
0.2 & 84.0628983837491 & 2.2752034744123 \tabularnewline
0.25 & 85.9316377363608 & 0.888119925005812 \tabularnewline
0.3 & 87.0019503187226 & 0.94324857539147 \tabularnewline
0.35 & 87.9579864115723 & 0.770753906455607 \tabularnewline
0.4 & 88.8034853905982 & 0.817274774574131 \tabularnewline
0.45 & 89.6268942984486 & 0.731883263776553 \tabularnewline
0.5 & 90.4038805545957 & 0.797304527179732 \tabularnewline
0.55 & 91.2773998184087 & 0.844184739273686 \tabularnewline
0.6 & 91.9584924285791 & 0.458612290324208 \tabularnewline
0.65 & 92.2529355466383 & 0.155847561028694 \tabularnewline
0.7 & 92.45524964342 & 0.261187637306502 \tabularnewline
0.75 & 93.2225100224944 & 1.11813432111002 \tabularnewline
0.8 & 95.5209062220927 & 2.35597854850296 \tabularnewline
0.85 & 98.7145891257437 & 2.03634408154358 \tabularnewline
0.9 & 101.491252158111 & 1.74444991937389 \tabularnewline
0.95 & 106.120169985026 & 2.24743385485116 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=277063&T=1

[TABLE]
[ROW][C]Harrell-Davis Quantiles[/C][/ROW]
[ROW][C]quantiles[/C][C]value[/C][C]standard error[/C][/ROW]
[ROW][C]0.05[/C][C]74.1365642189803[/C][C]0.341239824486519[/C][/ROW]
[ROW][C]0.1[/C][C]75.665363442365[/C][C]1.47221932659226[/C][/ROW]
[ROW][C]0.15[/C][C]79.5377383256779[/C][C]3.70576371723257[/C][/ROW]
[ROW][C]0.2[/C][C]84.0628983837491[/C][C]2.2752034744123[/C][/ROW]
[ROW][C]0.25[/C][C]85.9316377363608[/C][C]0.888119925005812[/C][/ROW]
[ROW][C]0.3[/C][C]87.0019503187226[/C][C]0.94324857539147[/C][/ROW]
[ROW][C]0.35[/C][C]87.9579864115723[/C][C]0.770753906455607[/C][/ROW]
[ROW][C]0.4[/C][C]88.8034853905982[/C][C]0.817274774574131[/C][/ROW]
[ROW][C]0.45[/C][C]89.6268942984486[/C][C]0.731883263776553[/C][/ROW]
[ROW][C]0.5[/C][C]90.4038805545957[/C][C]0.797304527179732[/C][/ROW]
[ROW][C]0.55[/C][C]91.2773998184087[/C][C]0.844184739273686[/C][/ROW]
[ROW][C]0.6[/C][C]91.9584924285791[/C][C]0.458612290324208[/C][/ROW]
[ROW][C]0.65[/C][C]92.2529355466383[/C][C]0.155847561028694[/C][/ROW]
[ROW][C]0.7[/C][C]92.45524964342[/C][C]0.261187637306502[/C][/ROW]
[ROW][C]0.75[/C][C]93.2225100224944[/C][C]1.11813432111002[/C][/ROW]
[ROW][C]0.8[/C][C]95.5209062220927[/C][C]2.35597854850296[/C][/ROW]
[ROW][C]0.85[/C][C]98.7145891257437[/C][C]2.03634408154358[/C][/ROW]
[ROW][C]0.9[/C][C]101.491252158111[/C][C]1.74444991937389[/C][/ROW]
[ROW][C]0.95[/C][C]106.120169985026[/C][C]2.24743385485116[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=277063&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=277063&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
0.0574.13656421898030.341239824486519
0.175.6653634423651.47221932659226
0.1579.53773832567793.70576371723257
0.284.06289838374912.2752034744123
0.2585.93163773636080.888119925005812
0.387.00195031872260.94324857539147
0.3587.95798641157230.770753906455607
0.488.80348539059820.817274774574131
0.4589.62689429844860.731883263776553
0.590.40388055459570.797304527179732
0.5591.27739981840870.844184739273686
0.691.95849242857910.458612290324208
0.6592.25293554663830.155847561028694
0.792.455249643420.261187637306502
0.7593.22251002249441.11813432111002
0.895.52090622209272.35597854850296
0.8598.71458912574372.03634408154358
0.9101.4912521581111.74444991937389
0.95106.1201699850262.24743385485116


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = grey ;
Parameters (R input):
par1 = 0.05 ; par2 = 0.95 ; par3 = 0.05 ;
R code (references can be found in the software module):
par3 <- '0.01'
par2 <- '0.95'
par1 <- '0.05'
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')