# KendallMLists

### Description

Compute Kendall's tau criterion

### Usage

1 |

### Arguments

`input` |
A list with each element being a top- |

`space` |
A list with each element being the underlying space from which the corresponding top- |

`aggregate` |
The aggregate list (result) from any of the three classes of algorithms |

`p` |
A parameter between 0 and 1 for setting the distance of a pair of elements between two lists,
if at least one of the elements is not in the underlying space of one
of the list or if both elements belong to one list but neither belongs
to the other list. (We recommend using |

`w` |
Weight vector assigning a weight to each list |

### Value

Kendall's distance

### Author(s)

Shili Lin <shili@stat.osu.edu>

### References

Lin, S., Ding, J. (2009) Integration of ranked lists via Cross Entropy Monte Carlo with applications to mRNA and microRNA studies. Biometrics 65, 9-18.

Lin, S. (2010) Space oriented rank-based data integration. Statistical Applications in Genetics and Molecular Biology 9, Article 20.

### See Also

Borda

### Examples

1 2 3 4 | ```
data(TopKSpaceSampleInput)
bb1=Borda(input,space)
w= c(2/(30 * (30 - 1)), 2/(25 * (25 - 1)), 2/(20 * (20 -+ 1)))
kc.ARM=KendallMLists(input, space, bb1[[1]][, 1], p = 0.5, w = w)
``` |