Hello-I was wondering whether you could help me this.

I'm wondering which test to use for this scenerio: To keep this anon,
I'm looking at the prediction as to whether a person with a certain dichtomous characteristic- (call it A) would be placed in a location with professionals also with with certain dichtomous characteristic-(call it A)

Would this be some kind of matched sample test? or perhaps a likelihood ratio. I know it's Sunday afternoon guys, but any help woul be very much appreciated!

I would say linear discriminant function analysis. You can calculate posterior probabilities.

Also logistic regression may be helpful as it does not only allow you to place the individual into one or the other group but also permits the calculation of a probability that this particular individual actually belongs into that group.