Statistics can often be used to determine if an event is random, weighted random, or directed.
"Directed" is different from "directing agent."
I think an example would help. Suppose, we look at the Taj Mahal - scientifically.
Statistically, not a random occurrence of white marble. Would science say, "ah, directing agent." Yes, it would seem - at first glance. But science would not say that Shah Jahan was the first cause of the universe - that the Taj was created ex nihilo either materially or causally.
Was the shah the directing agent or was he merely an agent for - and directed by - something larger? Was he the cue stick or one of the billiard balls?
Science would say that, for the male of the species, there are powerful forces at work here, directing the shah.
Let's look scientifically again at the what caused the building of the structure: Jahan killed all his male relatives, and he built the Taj Mahal for his wife Mumtaz who bore him 14 children.
Aha! Seeking power, attracting the most desirable females, removing rivals, seeking to assure his genetic material survives and dominates. 'Twas biology - nature - that built the Taj Mahal.
When it finds, statistically, events that appear to have a "directing agent," science works by reduction to remove the agent and ascribe the directing to "nature." When it is sufficiently reduced, as I said earlier, it's called a force or a law and declared that no directing "agent" is necessary.