For a 2 2 table of counts {n ij } show that the odds ratio is

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For a 2 × 2 table of counts {nij} show that the odds ratio is invariant to

(a) Interchanging rows with columns, 

(b) Multiplication of cell counts within rows or within columns by c ≠ 0. Show that the difference of proportions and the relative risk do not have these properties.

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