I commonly see developers use an expression like the following in JavaScript:
arr = []
arr[arr.length] = \"Something\"
arr[arr.length] = \"Another thing\"
>
I believe that it's mostly habit.
Some developers use it simply because it's the way they are used to do it, and haven't considered that push would be an alternative.
Some developers have learned once upon a time that one method is much faster than another, and haven't reviewed this in light of the recent performance improvements of the Javascript engines.
Personally I use push frequently. Most of the time readability and maintainability is more important than performance, at least when the performance impact is small enough. The performance tests posted in the answers here show that the performance difference between various methods isn't very big.