com.numericalmethod.suanshu.stats.test.distribution.pearson

Class AS159

java.lang.Object

com.numericalmethod.suanshu.stats.test.distribution.pearson.AS159

All Implemented Interfaces:

java.io.Serializable

public class AS159
extends java.lang.Object
implements java.io.Serializable

Algorithm AS 159 accepts a table shape (the number of rows and columns), and two vectors, the lists of row and column sums. There may be 0, 1, or many tables with nonnegative, integral entries that have the given shape and sums. If there is at least one candidate, then the routine will choose one, uniformly over the number of distinct candidates. The routine will report the case if there are no candidates.

Other implementations includes 'rcont2'. For example,

• http://svn.r-project.org/R/trunk/src/appl/rcont.c
• http://people.sc.fsu.edu/~jburkardt/cpp_src/asa159/asa159.C
• http://lib.stat.cmu.edu/apstat/159

See Also:

"WM Patefield. "Algorithm AS 159: An Efficient Method of Generating RXC Tables with Given Row and Column Totals," Applied Statistics, Volume 30, Number 1, 1981, pages 91-97.", Serialized Form

Nested Class Summary

Nested Classes

Modifier and Type	Class and Description
static class	AS159.RandomMatrix a random matrix generated by AS159 and its probability

Constructor Summary

Constructors

Constructor and Description
AS159(int[] rowSums, int[] colSums) Construct a random table generator according to row and column totals.
AS159(int[] rowSums, int[] colSums, RandomLongGenerator rng) Construct a random table generator according to row and column totals.

Method Summary

Modifier and Type	Method and Description
boolean	isValidated(Matrix A) Check whether a matrix satisfies the row and column sums.
AS159.RandomMatrix	nextSample() Construct a random matrix based on the row and column sums.

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

AS159

public AS159(int[] rowSums,
             int[] colSums)

Construct a random table generator according to row and column totals.

Parameters:

rowSums - row totals

colSums - column totals

AS159

public AS159(int[] rowSums,
             int[] colSums,
             RandomLongGenerator rng)

Construct a random table generator according to row and column totals.

Parameters:

rowSums - row totals

colSums - column totals

rng - a uniform random number generator

Method Detail

isValidated

public boolean isValidated(Matrix A)

Check whether a matrix satisfies the row and column sums.

Parameters:

A - a matrix

Returns:

true if A satisfies the constraints

nextSample

public AS159.RandomMatrix nextSample()

Construct a random matrix based on the row and column sums.

Returns:

a random matrix