By the precedent for a standard, Mozi means following the example of previous kings.
By empirical veracity, he means checking what everyone is actually doing to see if the standard is reasonable and logical.
By utility he means that a standard must be useful for society at large, not just for itself or for a few people.
In determining if a standard would be appropriate for society, Mozi would apply these three tests.
They had to all be valid, and especially the third test (utility) for the standard to be acceptable.