MannWhitney (Rule Game web API documentation)

java.lang.Object
- edu.wisc.game.math.MannWhitney

```
public class MannWhitney
extends Object
```
The Mann-Whitney math

Constructor Summary

Constructors
Constructor Description

MannWhitney()

Method Summary

All Methods Static Methods Concrete Methods
Modifier and Type	Method	Description
`static double`	`count(double[] a, double[] b)`	How many pairs (i,j) exist where a[i] < b[j]? Ties are counted as 0.5.
`static void`	`main(String[] argv)`
`static double[][]`	`ratioMatrix(double[][] z)`
`static double[][]`	`rawMatrix(double[][] a)`	The element z[i][j] of the results is equal to the number of pairs (k,m) such that a[i][k] < a[j][m].
`static void`	`test1(String[] argv)`
`static void`	`test2(String[] argv)`
`static double[]`	`topEigenVector(double[][] a)`	Given a dense matrix with positive elements, find the eigenvector corresponding to the largest eigenvalue.

Methods inherited from class java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

- Constructor Detail
  - MannWhitney
```
public MannWhitney()
```
- Method Detail
  - count
```
public static double count(double[] a,
                           double[] b)
```
    How many pairs (i,j) exist where a[i] < b[j]? Ties are counted as 0.5.
    
    Parameters:
    
    a - Ascending sorted
    
    b - Ascending sorted
  - rawMatrix
```
public static double[][] rawMatrix(double[][] a)
```
    The element z[i][j] of the results is equal to the number of pairs (k,m) such that a[i][k] < a[j][m].
    
    Parameters:
    
    a - Each row of this matrix represent a "cloud" of points to be compared. It will be sorted.
  - ratioMatrix
```
public static double[][] ratioMatrix(double[][] z)
```
    Parameters:
    
    z - The raw matrix
    
    Returns:
    
    w[i][j] = (z[i][j]+1)/(z[j][i]+1)
  - topEigenVector
```
public static double[] topEigenVector(double[][] a)
```
    Given a dense matrix with positive elements, find the eigenvector corresponding to the largest eigenvalue. By Perron-Frobenius theorem, we know that such a vector exists, and is composed of positive elements.
  - test1
```
public static void test1(String[] argv)
```
    Parameters:
    
    argv - a,b,c,d e,f,g
  - test2
```
public static void test2(String[] argv)
```
    Parameters:
    
    argv - a,b,c,d e,f,g h,i,j,k,l ....
  - main
```
public static void main(String[] argv)
```