Statistical analysis is a common tool for explanation in the physical sciences  It can only be used, however, to explain events that can be replicated to the last detail  Since human mental events never precisely recur, statistical analysis cannot be employed to explain these events
Ttherefore, they cannot be explained by the physical sciences
A good way to explain historical events is to construct a coherent narrative about those events. In order to construct such a narrative, a great many details about the events must be known. Virtually no details can be known of certain very ancient historical events. Ttherefore, no historical explanation can be given for these events.