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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 computationWed, 12 Nov 2008 10:51:49 -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/12/t1226512368618tvsub826o71k.htm/, Retrieved Sun, 19 May 2024 08:52:29 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=24325, Retrieved Sun, 19 May 2024 08:52:29 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsjenske_cole@hotmail.com
Estimated Impact183

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...] [2008-11-12 13:37:39] [8094ad203a218aaca2d1cea2c78c2d6e]
F    D    [Bivariate Kernel Density Estimation] [opdracht3 blok8 q...] [2008-11-12 17:51:49] [120dfa2440e51a0cfc0f5296bc5d7460] [Current]
-    D      [Bivariate Kernel Density Estimation] [paper bivariate k...] [2008-12-13 12:01:33] [975daa21de49eaf4d491226310243f5a]
- RMPD      [Standard Deviation-Mean Plot] [paper standard de...] [2008-12-13 12:05:31] [975daa21de49eaf4d491226310243f5a]
- RMPD      [Standard Deviation-Mean Plot] [paper standard de...] [2008-12-13 12:08:21] [975daa21de49eaf4d491226310243f5a]
- RMPD      [Variance Reduction Matrix] [paper variance re...] [2008-12-13 12:10:13] [975daa21de49eaf4d491226310243f5a]
- RMPD      [(Partial) Autocorrelation Function] [paper autocorrela...] [2008-12-13 12:13:54] [975daa21de49eaf4d491226310243f5a]
- RMPD      [(Partial) Autocorrelation Function] [paper autocorrela...] [2008-12-13 12:15:31] [975daa21de49eaf4d491226310243f5a]
-             [(Partial) Autocorrelation Function] [paper autocorrela...] [2008-12-13 13:03:08] [975daa21de49eaf4d491226310243f5a]
-             [(Partial) Autocorrelation Function] [paper autocorrela...] [2008-12-13 13:04:42] [975daa21de49eaf4d491226310243f5a]
-             [(Partial) Autocorrelation Function] [paper autocorrela...] [2008-12-13 13:06:03] [975daa21de49eaf4d491226310243f5a]
- RMPD      [(Partial) Autocorrelation Function] [paper autocorrela...] [2008-12-13 12:16:36] [975daa21de49eaf4d491226310243f5a]
- RMPD      [Spectral Analysis] [paper spectral an...] [2008-12-13 12:18:17] [975daa21de49eaf4d491226310243f5a]
- RMPD      [Spectral Analysis] [paper spectral an...] [2008-12-13 12:19:44] [975daa21de49eaf4d491226310243f5a]
- RMPD      [Spectral Analysis] [paper spectral an...] [2008-12-13 12:21:34] [975daa21de49eaf4d491226310243f5a]
-   P         [Spectral Analysis] [paper spectral an...] [2008-12-17 14:05:40] [975daa21de49eaf4d491226310243f5a]
-   P           [Spectral Analysis] [paper spectral an...] [2008-12-17 14:07:20] [975daa21de49eaf4d491226310243f5a]
- RMPD      [(Partial) Autocorrelation Function] [paper autocorrela...] [2008-12-13 12:23:36] [975daa21de49eaf4d491226310243f5a]
-             [(Partial) Autocorrelation Function] [paper autocorrela...] [2008-12-13 12:59:53] [975daa21de49eaf4d491226310243f5a]
- RM            [ARIMA Backward Selection] [paper backward goe] [2008-12-13 13:24:53] [975daa21de49eaf4d491226310243f5a]
-   P             [ARIMA Backward Selection] [paper backward......] [2008-12-17 14:15:55] [975daa21de49eaf4d491226310243f5a]
-   P           [(Partial) Autocorrelation Function] [paper autocorrela...] [2008-12-17 14:11:49] [975daa21de49eaf4d491226310243f5a]
- RMPD      [(Partial) Autocorrelation Function] [paper backward...] [2008-12-13 12:25:56] [975daa21de49eaf4d491226310243f5a]
Feedback Forum
2008-11-15 11:36:18 [58d427c57bd46519a715a3a7fea6a80f] [reply] 
Op de bivariate Kernel zie je naast de puntenwolk een lijn die zo dicht mogelijk de puntenwolk benadert (=regressielijn), de hogelijnen zijn de omtrek van de schijfjes. In dit geval zijn de omtreklijnen niet cirkelvormig dus de correlatie is niet gelijk aan 0. Alle clusters wijzen in dezelfe richting, dus er is een positief verband, uit de tabel kan je dan aflezen dat de correlatie 0.63 is.
2008-11-17 08:36:18 [Bert Moons] [reply] 
De positieve correlatie is ook af te leiden uit het feit dat de puntenwolk ongeveer volgens de regressielijn loopt(alles op de regressielijn => correlatie = 1).

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
92.3
95.5
92.5
89.6
84.3
76.3
80.7
96.3
81.0
82.9
90.3
74.8
70.1
86.7
86.4
89.9
88.1
78.8
81.1
85.4
82.6
80.3
81.2
68.0
67.4
91.3
94.9
82.8
88.6
73.1
76.7
93.2
84.9
83.8
93.5
91.9
69.6
87.0
90.2
82.7
91.4
74.6
76.1
87.1
78.4
81.3
99.3
71.0
73.2
95.6
84.0
90.8
93.6
80.9
84.4
97.3
83.5
88.8
100.7
69.4
74.6
96.6
96.6
93.1
91.8
85.7
79.1
91.3
84.2
85.8
94.6
77.1
76.5
Dataseries Y:
Download CSV
Histogram 
95.5
98.7
115.9
110.4
109.5
92.3
102.1
112.8
110.2
98.9
119.0
104.3
98.8
109.4
170.3
118.0
116.9
111.7
116.8
116.1
114.8
110.8
122.8
104.7
86.0
127.2
126.1
114.6
127.8
105.2
113.1
161.0
126.9
117.7
144.9
119.4
107.1
142.8
126.2
126.9
179.2
105.3
114.8
125.4
113.2
134.4
150.0
100.9
101.8
137.7
138.7
135.4
153.8
119.5
123.3
166.4
137.5
142.2
167.0
112.3
120.6
154.9
153.4
156.2
175.8
131.7
130.1
161.1
128.2
140.3
174.9
111.8
136.6

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=24325&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=24325&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=24325&T=0

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Bandwidth
x axis4.0416833269622
y axis7.91421377048872
Correlation
correlation used in KDE0.631982605451482
correlation(x,y)0.631982605451482

\begin{tabular}{lllllllll}
\hline
Bandwidth \tabularnewline
x axis & 4.0416833269622 \tabularnewline
y axis & 7.91421377048872 \tabularnewline
Correlation \tabularnewline
correlation used in KDE & 0.631982605451482 \tabularnewline
correlation(x,y) & 0.631982605451482 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=24325&T=1

[TABLE]
[ROW][C]Bandwidth[/C][/ROW]
[ROW][C]x axis[/C][C]4.0416833269622[/C][/ROW]
[ROW][C]y axis[/C][C]7.91421377048872[/C][/ROW]
[ROW][C]Correlation[/C][/ROW]
[ROW][C]correlation used in KDE[/C][C]0.631982605451482[/C][/ROW]
[ROW][C]correlation(x,y)[/C][C]0.631982605451482[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=24325&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=24325&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 axis4.0416833269622
y axis7.91421377048872
Correlation
correlation used in KDE0.631982605451482
correlation(x,y)0.631982605451482


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')