Ideally you would send your entire event log to the server for checking. Perhaps you can implement a heuristic so you can easily determine if the score is within a set of bounds. For instance, if the total game time is 5 seconds you might expect a much lower score than with a much longer game time.
Alternatively, you could choose to manually check the event log for really high scores (the overall top-X, which should be fairly stable).
You will need a seeded random number generator if you're doing anything with randomness (like random events). Which might be tricky if you hadn't already thought of it.
You can find many more resources but it really just boils down to server-side checking. JavaScript is not unique in this, but likely easiest to exploit because you not only see the client-server communication but also the client-side source code!
HTML5 Multiplayer Game Security Solutions
http://lanyrd.com/2011/jsconf/sfggb/
Games like Starcraft only record the mouse clicks and key presses. The actual commands are then simulated. I expect 'Worms Armageddon' to do something similar but their random events (like the bounciness of bananas) aren't seeded properly so in the instant replay you might get a different result.
You could imagine something similar for MMORPGs. The server calculates your position based on the keypresses, the client merely tries to give a good early interpretation but you may warp around when you're lagging because the server will place you elsewhere on the map because it didn't get the keypress events timely.
If you attack something, the server will check if you're close enough and how much damage you can expect to deal with current stats and equipment.
