What is the difference between a Confusion Matrix and Contingency Table?

Question

I\'m writting a piece of code to evaluate my Clustering Algorithm and I find that every kind of evaluation method needs the basic data from a m*n matrix like

Answer 1

In short, contingency table is used to describe data. and confusion matrix is, as others have pointed out, often used when comparing two hypothesis. One can think of predicted vs actual classification/categorization as two hypothesis, with the ground truth being the null and the model output being the alternative.