I am working with a data set to model student performance with various variables from the class/school/district/provincial level. Student performance is extremely low though--~70% of reading performance scores are 0.

I have no experience working with non-parametric models, but assume I should use one for this non-normal distribution. I am playing around with a logit model and using a above/below threshold for student performance.

What other models should I explore with this kind of data?

Here is the score distribution:

Score-Number

0-630

1- 2

2- 1

3- 1

5- 1

8- 1

9- 2

10- 2

11- 4

13- 2

14- 1

18- 10

19- 1

20- 2

21- 1

22- 3

23- 2

28- 3

29- 2