odds.ratio
From aylmer v1.0-1
or
The generalized odds ratio is a measure of the handedness of a cyclic competition graph.
- Keywords
- array
Usage
odds.ratio(x)
Arguments
- x
- matrix with one degree of freedom, coerced to a board
Details
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 $\frac{a_{11}a_{22}}{a_{12}a_{21}}$. 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.
See Also
Examples
data(gear)
odds.ratio(gear)
aylmer.test(gear)
aylmer.test(gear,alternative="less")
aylmer.test(gear,alternative="greater")
Community examples
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