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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_bidensity.wasp
Title produced by softwareBivariate Kernel Density Estimation
Date of computationFri, 07 Nov 2008 03:38:01 -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/2008/Nov/07/t1226054348ayp62vxlkgti1w7.htm/, Retrieved Sun, 19 May 2024 06:30:56 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=22467, Retrieved Sun, 19 May 2024 06:30:56 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact272

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F       [Bivariate Kernel Density Estimation] [Various EDA topic...] [2008-11-07 10:38:01] [55ca0ca4a201c9689dcf5fae352c92eb] [Current]
F RMPD    [Trivariate Scatterplots] [Various EDA topic...] [2008-11-07 10:42:57] [e5d91604aae608e98a8ea24759233f66]
F RMPD      [Partial Correlation] [Various EDA topic...] [2008-11-07 10:48:55] [e5d91604aae608e98a8ea24759233f66]
F RMPD      [Box-Cox Linearity Plot] [Various EDA topic...] [2008-11-07 11:06:19] [e5d91604aae608e98a8ea24759233f66]
F RM D        [Box-Cox Normality Plot] [Various EDA topic...] [2008-11-10 11:55:49] [e5d91604aae608e98a8ea24759233f66]
F RMPD          [Maximum-likelihood Fitting - Normal Distribution] [Various EDA topic...] [2008-11-10 12:02:10] [e5d91604aae608e98a8ea24759233f66]
- RMPD          [Testing Variance - Critical Value (Region)] [Various types of ...] [2008-11-10 12:36:06] [e5d91604aae608e98a8ea24759233f66]
-   P             [Testing Variance - Critical Value (Region)] [Various types of ...] [2008-11-10 12:44:47] [e5d91604aae608e98a8ea24759233f66]
- RMPD            [Notched Boxplots] [Various types of ...] [2008-11-10 13:05:18] [e5d91604aae608e98a8ea24759233f66]
- RMPD          [Testing Variance - p-value (probability)] [Various types of ...] [2008-11-10 12:39:28] [e5d91604aae608e98a8ea24759233f66]
- RMPD      [Kendall tau Correlation Matrix] [Various EDA topic...] [2008-11-07 11:03:18] [e5d91604aae608e98a8ea24759233f66]
F RMPD      [Testing Mean with known Variance - Critical Value] [Case - Q1] [2008-11-07 11:22:19] [e5d91604aae608e98a8ea24759233f66]
F RM          [Testing Mean with known Variance - p-value] [Case - Q2] [2008-11-07 11:40:30] [e5d91604aae608e98a8ea24759233f66]
F RM          [Testing Mean with known Variance - Type II Error] [Case - Q3] [2008-11-07 11:49:06] [e5d91604aae608e98a8ea24759233f66]
F RM          [Testing Mean with known Variance - Sample Size] [Case - Q4] [2008-11-07 11:55:44] [e5d91604aae608e98a8ea24759233f66]
F RM          [Testing Population Mean with known Variance - Confidence Interval] [Case - Q5] [2008-11-07 12:04:51] [e5d91604aae608e98a8ea24759233f66]
- RM          [Testing Sample Mean with known Variance - Confidence Interval] [Case - Q6] [2008-11-07 12:10:38] [e5d91604aae608e98a8ea24759233f66]
F               [Testing Sample Mean with known Variance - Confidence Interval] [Case - Q6.] [2008-11-07 12:17:52] [e5d91604aae608e98a8ea24759233f66]
Feedback Forum
2008-11-17 18:16:43 [8e2cc0b2ef568da46d009b2f601285b2] [reply] 
De lijn over de grafiek stelt de correlatie voor tussen beide reeksen.
De hoogste punten van de 'berg' zijn clusters van gegevens, de dichtheid van de hoogtelijnen geeft de waarschijnlijkheid weer.
2008-11-22 17:50:46 [Kenny Simons] [reply] 
Met de techniek van de Bivariate Kernel Density kan je net zoals bij een scatter plot, de correlatie meten tussen 2 variabelen. De grafische voorstelling echter is anders.
Bij deze techniek zijn de hoogtelijnen de derde dimensie, hier kan je de clusters dan ook veel beter zien. Als alle clusters een zelfde oriëntatie hebben, dan is er een verband tussen de variabelen. De rode zone in de grafiek duidt een sterke correlatie aan en de groene zone duidt een zwakke correlatie aan.

Uit de grafiek kunnen we afleiden dat er zo goed als geen correlatie is tussen de punten, als we nu zien naar de wiskundig berekende tabel, zien we dat er inderdaad geen correlatie is.
2008-11-23 14:12:16 [3c578cc84eacdf90cb69ef674ce02a4f] [reply] 
Dit moet je zo een beetje met een weerkaart vergelijken. Hier berekent men net zoals bij een scatter plot de correlatie tussen 2 variabelen, maar grafisch wordt dit anders voorgesteld. De dichtheid van de hoogtelijnen geeft de waarschijnlijkheid weer.

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
99,29
98,69
107,92
101,03
97,55
103,02
94,08
94,12
115,08
116,48
103,42
112,51
95,55
97,53
119,26
100,94
97,73
115,25
92,8
99,2
118,69
110,12
110,26
112,9
102,17
99,38
116,1
103,77
101,81
113,74
89,67
99,5
122,89
108,61
114,37
110,5
104,08
103,64
121,61
101,14
115,97
120,12
95,97
105,01
124,68
123,89
123,61
114,76
108,75
106,09
123,17
106,16
115,18
120,6
109,48
114,44
121,44
129,48
124,32
112,59
Dataseries Y:
Download CSV
Histogram 
1,21
1,74
1,76
1,48
1,04
1,62
1,49
1,79
1,8
1,58
1,86
1,74
1,59
1,26
1,13
1,92
2,61
2,26
2,41
2,26
2,03
2,86
2,55
2,27
2,26
2,57
3,07
2,76
2,51
2,87
3,14
3,11
3,16
2,47
2,57
2,89
2,63
2,38
1,69
1,96
2,19
1,87
1,6
1,63
1,22
1,21
1,49
1,64
1,66
1,77
1,82
1,78
1,28
1,29
1,37
1,12
1,51
2,24
2,94
3,09

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=22467&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=22467&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=22467&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






Bandwidth
x axis4.46806179004329
y axis0.242653416841172
Correlation
correlation used in KDE-0.0694227592837247
correlation(x,y)-0.0694227592837247

\begin{tabular}{lllllllll}
\hline
Bandwidth \tabularnewline
x axis & 4.46806179004329 \tabularnewline
y axis & 0.242653416841172 \tabularnewline
Correlation \tabularnewline
correlation used in KDE & -0.0694227592837247 \tabularnewline
correlation(x,y) & -0.0694227592837247 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=22467&T=1

[TABLE]
[ROW][C]Bandwidth[/C][/ROW]
[ROW][C]x axis[/C][C]4.46806179004329[/C][/ROW]
[ROW][C]y axis[/C][C]0.242653416841172[/C][/ROW]
[ROW][C]Correlation[/C][/ROW]
[ROW][C]correlation used in KDE[/C][C]-0.0694227592837247[/C][/ROW]
[ROW][C]correlation(x,y)[/C][C]-0.0694227592837247[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=22467&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=22467&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:

Bandwidth
x axis4.46806179004329
y axis0.242653416841172
Correlation
correlation used in KDE-0.0694227592837247
correlation(x,y)-0.0694227592837247


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 50 ; par2 = 50 ; par3 = 0 ; par4 = 0 ; par5 = 0 ; par6 = Y ; par7 = Y ;
Parameters (R input):
par1 = 50 ; par2 = 50 ; par3 = 0 ; par4 = 0 ; par5 = 0 ; par6 = Y ; par7 = Y ;
R code (references can be found in the software module):
par1 <- as(par1,'numeric')
par2 <- as(par2,'numeric')
par3 <- as(par3,'numeric')
par4 <- as(par4,'numeric')
par5 <- as(par5,'numeric')
library('GenKern')
if (par3==0) par3 <- dpik(x)
if (par4==0) par4 <- dpik(y)
if (par5==0) par5 <- cor(x,y)
if (par1 > 500) par1 <- 500
if (par2 > 500) par2 <- 500
bitmap(file='bidensity.png')
op <- KernSur(x,y, xgridsize=par1, ygridsize=par2, correlation=par5, xbandwidth=par3, ybandwidth=par4)
image(op$xords, op$yords, op$zden, col=terrain.colors(100), axes=TRUE,main=main,xlab=xlab,ylab=ylab)
if (par6=='Y') contour(op$xords, op$yords, op$zden, add=TRUE)
if (par7=='Y') points(x,y)
(r<-lm(y ~ x))
abline(r)
box()
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Bandwidth',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'x axis',header=TRUE)
a<-table.element(a,par3)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'y axis',header=TRUE)
a<-table.element(a,par4)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Correlation',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'correlation used in KDE',header=TRUE)
a<-table.element(a,par5)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'correlation(x,y)',header=TRUE)
a<-table.element(a,cor(x,y))
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')