In: Statistics and Probability
A non parametric test does not assume anything about the underlying distribution . That’s compared to parametric test, which makes assumptions about a population’s parameters .When the word “non parametric” is used in stats, it doesn’t quite mean that you know nothing about the population. It usually means that you know the population data does not have a normal distribution.
Non parametric tests are used when your data isn’t normal. Therefore the key is to figure out if you have normally distributed data. For example, you could look at the distribution of your data. If your data is approximately normal, then you can use parametric statistical tests.
There are some references book is available here.
1- Lehmann, E. (1975). Nonparametric: Statistical Methods Based on Ranks.
2- Wasserman, Larry (2007). All of Nonparametric Statistics, Springer.
3- Fraser, D.A.S. (1957). Nonparametric Methods in Statistics.
You can also use the 'An Introduction to Probability and Statistics' By Vijay K. Rohatgi and A.K.Md.Ehsanes Saleh.