Numerical Examples
The following four contingency tables contain observed cell counts, along with the corresponding sample odds ratio (OR) and sample log odds ratio (LOR):
| OR = 1, LOR = 0 | OR = 1, LOR = 0 | OR = 4, LOR = 1.39 | OR = 0.25, LOR = −1.39 | |||||
|---|---|---|---|---|---|---|---|---|
| Y = 1 | Y = 0 | Y = 1 | Y = 0 | Y = 1 | Y = 0 | Y = 1 | Y = 0 | |
| X = 1 | 10 | 10 | 100 | 100 | 20 | 10 | 10 | 20 |
| X = 0 | 5 | 5 | 50 | 50 | 10 | 20 | 20 | 10 |
The following joint probability distributions contain the population cell probabilities, along with the corresponding population odds ratio (OR) and population log odds ratio (LOR):
| OR = 1, LOR = 0 | OR = 1, LOR = 0 | OR = 16, LOR = 2.77 | OR = 0.67, LOR = −0.41 | |||||
|---|---|---|---|---|---|---|---|---|
| Y = 1 | Y = 0 | Y = 1 | Y = 0 | Y = 1 | Y = 0 | Y = 1 | Y = 0 | |
| X = 1 | 0.2 | 0.2 | 0.4 | 0.4 | 0.4 | 0.1 | 0.1 | 0.3 |
| X = 0 | 0.3 | 0.3 | 0.1 | 0.1 | 0.1 | 0.4 | 0.2 | 0.4 |
Read more about this topic: Odds Ratio
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