Knocking noses off statuary was a favorite pastime of early Christians. Without a nose, the spirit occupying the statue would be unable to take in the smoke from the offering. They also broke off right hands for similar reasons. The activity is called "iconoclasm". These early Christians ardently believed in such spirits, which they considered demons, and meant to deprive them of sustenance; and more importantly, to deprive competing priests of places to operate.
Ancient Egyptians also vandalized more-ancient statuary, but they usually preferred to chisel out the attached name and carve their current king's name in its place so his ka would get the benefit of offerings. Ramses II was especially known for "tagging" ancient statuary; egyptologists, oddly, routinely accept such tags as proof he was responsible for the item.