Given a set of extracted data from different sources with different accuracies, how can I combine the accuracy of those who give the same output?
Data from source A are 80% correct Data from source B are 85% correct Data from source C are 90% correct
If two of the sources give the same result (ResultA) and the third disagrees (ResultB) what's the probability of (A) being correct? This is not a homework question. I am a software developer and I don't have a clue about statistics and probability.
I've done an experiment using a random number generator
Test 1 - 2 Possible outcomes (0/1) three methods (Acc: 0.5, 0.3, 0.1)
Samples : 100000000 Method A : 0,49993692 Method B : 0,30023622 Method C : 0,09994145 Method A+B : 0,794567779569577 Method B+C : 0,0455372643070089 Method C+A : 0,205615801945512 Method A+B+C : 0,0455215295368209
Test 2 - 2 Possible outcomes (0/1) three methods (Acc: 0.8, 0.85, 0.9)
Samples : 100000000 Method A : 0,80003639 Method B : 0,8500426 Method C : 0,90005791 Method A+B : 0,715942797491352 Method B+C : 0,927408281972288 Method C+A : 0,864147967527417 Method A+B+C : 0,995137034088319
That's the numbers I am looking for but I don't know how to calculate them...