A 2 2 table has a true odds ratio of 10 Find the cell probabilities for which (a) 1 1 0 5, (b) 1 1 0 3, and (c) 1 1 0 1 Find the value of kappa for each (This shows that for a given association, kappa depends strongly on the marginal probabilities )

Question: A 2 2 table has a true odds ratio of 10. Find the cell probabilities for which (a) 1+ = +1 =

A 2 × 2 table has a true odds ratio of 10. Find the cell probabilities for which (a) π₁₊ = π₊₁ = 0.5, (b) π₁₊ = π₊₁ = 0.3, and (c) π₁₊ = π₊₁ = 0.1. Find the value of kappa for each. (This shows that for a given association, kappa depends strongly on the marginal probabilities.)

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