Is there a way to test the purity of it? From what it sounds, people do estimates based on potential variables like humidity.
If you get Scientific Soapmaking by Kevin Dunn you can learn to do it the best way, but it will take some dedication to get into. If you have a knack for doing analytical procedures carefully, there's a simpler technique he demonstrated in this video:
http://greenerlifeclub.com/the-balancing-act-part-ii-presented-by-dr-kevin-dunn/
It's not especially difficult, but you'll need an accurate scale with a resolution of .01 g (two decimal places). You should understand how he's weighing off the scale instead of onto it, because that makes it easier to do correctly and allows you to use an affordable scale. If you needed a scale with that resolution that also had the capacity to hold the solution and the container, it would cost a lot of money. With the demonstrated technique you only need a scale that can accommodate a little cup of NaOH.