That advice was given in the article. I'd add to that: check your states lemon laws.
I bought a Dell Inspiron 8200 when they first came out. I bought the extended warranty (3 years) and was very glad I did. Dell laptops are going to break. I had the little clip which holds the battery on break three times, the hard drive fail twice (and then the pins broke on the replacement hard drive, counting as a third breakage), I had it serviced for LCD-related issues three times, and there's some other problem I forgot about. This all happened over 3 years, and Dell was very quick on the gun to get my stuff fixed, usually sending replacement parts in 24 hours. I would have been screwed if I hadn't gotten the extended warranty.
As my warranty period came up, I started to get worried. The laptop was going to break again, and I'd be out in the cold. Turns out, in CA, if you get a computer serviced 3 or more times for the same problem, you can demand your money back. After some arguing with the Dell guys, they sent me an 8500 (refurb). My 3 year warranty expired the next week.
Point is: Paying the extra couple hundred bucks for the warranty saves you from buying a new laptop. After a feeling of joy, I felt a bit guilty about getting 2 laptops for the price of one. Then again, Dell chose to make laptops which fail constantly, not me...