In studies of the fracture toughness of irradiated weld metal, specimens are subjected to an increasing load. The test on any one specimen might be terminated by choice or because the specimen ruptures. Prior to termination, ductile tearing might or might not have occurred. The situation is thus basically one of competing risks, with different types of termination, but there are additional features. The major purpose of statistical analysis is to estimate probabilities concerning the values of "toughness" and crack length. The analysis has been based on a model developed for the joint survivor function of these quantities.