Non parametric test includes, Wilcoxon rank-sum test, Wald Wolfowitz runs test, Mann-Whitney U test, and Kolmogorov-Smirnov, Kruskal Wallis analysis of ranks and the Median test etc.
Wilcoxon rank sum test for paired samples is counterpart of the paired samples t-test.
Wilcoxon signed rank test is equivalent to one-sample t test.
Wald Wolfowitz runs test, Mann Whitney U test, and Kolmogorov Smirnov two sample test.
The Friedman test is a non-parametric test for testing the difference between several related samples.
The Friedman test is an alternative for Repeated measures ANOVA which is used when the same parameter has been measured under different conditions on the same subjects.
Kruskal Wallis analysis of ranks and the Median test is non parametric version of one way ANOVA.