And around the circle we go.
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Hence why it's not an independent variable and why you cannot say having AOA gives you a 96% chance of matching.
If you have AOA, a 210, no research, and crappy letters, your chance of matching is not 96%.
Doing a 2x2 square gives a relative risk of 7.32, ie. regardless of other outcome parameters, being AOA increases your chance of matching 7.32 fold. The question of course becomes determining your pre-AOA matching probability based off other parameters, which is basically impossible to do since many aspects of matching can not me numerically charted (MSPE, dean's leter, interview, etc.)