multiquad: Multidimensional Gauss-Hermite quadrature

In NominalLogisticBiplot: Biplot representations of categorical data

Description

This function computes the gauss-hermite quadrature in more than one dimension.

Usage

multiquad(nnodos, dims)

Arguments

nnodos	Number of nodes.
dims	Number of dimensions of the quadrature

Value

An object of class "MultiGaussQuadrature". This has the components:

X	Coordinates of the nodes
A	Weights asociated to each node

Author(s)

Jose Luis Vicente-Villardon,Julio Cesar Hernandez Sanchez

Maintainer: Jose Luis Vicente-Villardon <[e-mail]>

References

Jackel, P. (2005) A note on multivariate Gauss-Hermite quadrature

http://www.pjaeckel.webspace.virginmedia.com/ANoteOnMultivariateGaussHermiteQuadrature.pdf

See Also

hermquad

Examples

  
  multiquad(10,2)
  

Example output

Loading required package: mirt
Loading required package: stats4
Loading required package: lattice
Loading required package: gmodels
Loading required package: MASS
$X
            [,1]       [,2]
 [1,]  3.4361591  1.0366108
 [2,]  3.4361591  0.3429013
 [3,]  3.4361591 -0.3429013
 [4,]  3.4361591 -1.0366108
 [5,]  2.5327317  2.5327317
 [6,]  2.5327317  1.7566836
 [7,]  2.5327317  1.0366108
 [8,]  2.5327317  0.3429013
 [9,]  2.5327317 -0.3429013
[10,]  2.5327317 -1.0366108
[11,]  2.5327317 -1.7566836
[12,]  2.5327317 -2.5327317
[13,]  1.7566836  2.5327317
[14,]  1.7566836  1.7566836
[15,]  1.7566836  1.0366108
[16,]  1.7566836  0.3429013
[17,]  1.7566836 -0.3429013
[18,]  1.7566836 -1.0366108
[19,]  1.7566836 -1.7566836
[20,]  1.7566836 -2.5327317
[21,]  1.0366108  3.4361591
[22,]  1.0366108  2.5327317
[23,]  1.0366108  1.7566836
[24,]  1.0366108  1.0366108
[25,]  1.0366108  0.3429013
[26,]  1.0366108 -0.3429013
[27,]  1.0366108 -1.0366108
[28,]  1.0366108 -1.7566836
[29,]  1.0366108 -2.5327317
[30,]  1.0366108 -3.4361591
[31,]  0.3429013  3.4361591
[32,]  0.3429013  2.5327317
[33,]  0.3429013  1.7566836
[34,]  0.3429013  1.0366108
[35,]  0.3429013  0.3429013
[36,]  0.3429013 -0.3429013
[37,]  0.3429013 -1.0366108
[38,]  0.3429013 -1.7566836
[39,]  0.3429013 -2.5327317
[40,]  0.3429013 -3.4361591
[41,] -0.3429013  3.4361591
[42,] -0.3429013  2.5327317
[43,] -0.3429013  1.7566836
[44,] -0.3429013  1.0366108
[45,] -0.3429013  0.3429013
[46,] -0.3429013 -0.3429013
[47,] -0.3429013 -1.0366108
[48,] -0.3429013 -1.7566836
[49,] -0.3429013 -2.5327317
[50,] -0.3429013 -3.4361591
[51,] -1.0366108  3.4361591
[52,] -1.0366108  2.5327317
[53,] -1.0366108  1.7566836
[54,] -1.0366108  1.0366108
[55,] -1.0366108  0.3429013
[56,] -1.0366108 -0.3429013
[57,] -1.0366108 -1.0366108
[58,] -1.0366108 -1.7566836
[59,] -1.0366108 -2.5327317
[60,] -1.0366108 -3.4361591
[61,] -1.7566836  2.5327317
[62,] -1.7566836  1.7566836
[63,] -1.7566836  1.0366108
[64,] -1.7566836  0.3429013
[65,] -1.7566836 -0.3429013
[66,] -1.7566836 -1.0366108
[67,] -1.7566836 -1.7566836
[68,] -1.7566836 -2.5327317
[69,] -2.5327317  2.5327317
[70,] -2.5327317  1.7566836
[71,] -2.5327317  1.0366108
[72,] -2.5327317  0.3429013
[73,] -2.5327317 -0.3429013
[74,] -2.5327317 -1.0366108
[75,] -2.5327317 -1.7566836
[76,] -2.5327317 -2.5327317
[77,] -3.4361591  1.0366108
[78,] -3.4361591  0.3429013
[79,] -3.4361591 -0.3429013
[80,] -3.4361591 -1.0366108

$A
              [,1]
 [1,] 1.834763e-06
 [2,] 4.667255e-06
 [3,] 4.667255e-06
 [4,] 1.834763e-06
 [5,] 1.805384e-06
 [6,] 4.551519e-05
 [7,] 3.226612e-04
 [8,] 8.207830e-04
 [9,] 8.207830e-04
[10,] 3.226612e-04
[11,] 4.551519e-05
[12,] 1.805384e-06
[13,] 4.551519e-05
[14,] 1.147475e-03
[15,] 8.134550e-03
[16,] 2.069260e-02
[17,] 2.069260e-02
[18,] 8.134550e-03
[19,] 1.147475e-03
[20,] 4.551519e-05
[21,] 1.834763e-06
[22,] 3.226612e-04
[23,] 8.134550e-03
[24,] 5.766655e-02
[25,] 1.466917e-01
[26,] 1.466917e-01
[27,] 5.766655e-02
[28,] 8.134550e-03
[29,] 3.226612e-04
[30,] 1.834763e-06
[31,] 4.667255e-06
[32,] 8.207830e-04
[33,] 2.069260e-02
[34,] 1.466917e-01
[35,] 3.731532e-01
[36,] 3.731532e-01
[37,] 1.466917e-01
[38,] 2.069260e-02
[39,] 8.207830e-04
[40,] 4.667255e-06
[41,] 4.667255e-06
[42,] 8.207830e-04
[43,] 2.069260e-02
[44,] 1.466917e-01
[45,] 3.731532e-01
[46,] 3.731532e-01
[47,] 1.466917e-01
[48,] 2.069260e-02
[49,] 8.207830e-04
[50,] 4.667255e-06
[51,] 1.834763e-06
[52,] 3.226612e-04
[53,] 8.134550e-03
[54,] 5.766655e-02
[55,] 1.466917e-01
[56,] 1.466917e-01
[57,] 5.766655e-02
[58,] 8.134550e-03
[59,] 3.226612e-04
[60,] 1.834763e-06
[61,] 4.551519e-05
[62,] 1.147475e-03
[63,] 8.134550e-03
[64,] 2.069260e-02
[65,] 2.069260e-02
[66,] 8.134550e-03
[67,] 1.147475e-03
[68,] 4.551519e-05
[69,] 1.805384e-06
[70,] 4.551519e-05
[71,] 3.226612e-04
[72,] 8.207830e-04
[73,] 8.207830e-04
[74,] 3.226612e-04
[75,] 4.551519e-05
[76,] 1.805384e-06
[77,] 1.834763e-06
[78,] 4.667255e-06
[79,] 4.667255e-06
[80,] 1.834763e-06

attr(,"class")
[1] "MultiGaussQuadrature"

NominalLogisticBiplot documentation built on May 2, 2019, 6:03 a.m.