Description Usage Arguments Details Author(s) See Also Examples

The generalized odds ratio is a measure of the handedness of a cyclic competition graph.

1 | ```
odds.ratio(x)
``` |

`x` |
matrix with one degree of freedom, coerced to a board |

The generalized odds ratio is the product of the odds ratios of the edges in a cyclic competition graph.

In the two-by-two case, the maximum likelihood estimatore of the odds
ratio is just
*a[1,1]*a[2,2]/a[1,2]/a[2,1]*.
The generalization to larger boards with exactly one degree of freedom
is immediate: it is just the product of the entries on the diagonal,
divided by the product of the off-diagonal elements.

Ranking permissable tables in order of increasing odds ratio thus orders the sample space and allows one to perform one-sided tests.

Robin K. S. Hankin

1 2 3 4 5 6 | ```
data(gear)
odds.ratio(gear)
aylmer.test(gear)
aylmer.test(gear,alternative="less")
aylmer.test(gear,alternative="greater")
``` |

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