A quantitative analysis of encounters between two submarines was made in order to investigate the effects different factors have on the outcome of such encounters. A model was constructed with the use of a logic tree and a computer simulation of a submarine versus submarine encounter. The computer simulation was developed from the logic tree. The outcomes of the simulation were analysed using contingency table tests of independence, the theory of games of timing and a linear statistical model. The contingency table tests and the theory of games of timing demonstrated the relationship of range and elapsed time to the possible outcomes. The linear statistical model was used to obtain estimates of the effects that various own ship and target capabilities have on the outcome of the encounters.