Thanks for the quick reply. My explanation wasn't very clear; it doesn't agitate during any cycle. And it seems sort of hit or miss whether or not it sill spin at the end of the rinse cycle. It does seem to always spin at the end of the wash cycle. But I don't think that changes your diagnosis and now I have to decide if it's worth it to spend $150 on a 10+ year old washer. Are you fairly confident this is the problem (I.e. are there any other less likely problems that could cause these symptoms), and is swapping out the timer module something a guy with only a moderate amount of experience tinkering with appliances can tackle?
On a related question (If I'm not allowed followup questions I understand), when I first discovered the problem I was presented with a washer completely full of water. Further experimenting led me to the fact that it works sometimes. My question is this: Is there some form of "magic" that will force the washer to drain or would I have been forced to resort to siphoning off the water