Minecraft – Can endermen enter your house when you sleep

According to the Minecraft Wiki, aggressive mobs won't wake you if you surround your bed with torches. Here is what it says about the mob behavior:

To ensure that you are not awakened unnecessarily during the night, the bed must not be placed along a 1 block thick wall, unless the area on the other side of the wall is also safe. If a hostile mob can get within 2 blocks of the bed, even if the blocks are separated by a wall, you will be awakened with the hostile mob standing next to you. There appears to be a slight delay before the mob attacks you, giving you time to get the first blow.

Edit: As of Minecraft 1.0, mobs will not awaken you suddenly if your bed is placed in an unideal location. Instead, the game won't let you sleep and will state that there are mobs nearby.

Endermen take damage from water. So: surround your house with a moat. As long as every floor tile on the same side of the moat as your house is sufficiently illuminated (i.e., within 7 blocks of a torch, 8 blocks of glowstone, close to burning netherrack, etc.), Endermen should not be able to get to your house to disassemble it.

Bear in mind that, generally, the roof of your house is probably also a valid place for Endermen to spawn—put torches up there, too!

Note that lava is also an effective deterrent, but it will also destroy any dropped items from enemies.

Update (October 3, 2012): a mere moat is no longer sufficient. My current strategy for preventing harassment by endermen to build my house with a diagonally sloping roof and put a water source block at the uppermost point, completely submerging my house in running water; the interior contains only a nether portal in waist-deep water. The nether portal emerges into an enclosed tunnel that spirals down into the depths of the nether and is heavily illuminated, where a second portal returns you to the real world in my actual subterranean home.