Independent t-test vs Mann-Whitney test, Wilcoxon rank-sum test
Paired t-test vs Wilcoxon signed rank-sum test
1-way ANOVA vs Kruskal-Wallis test
2-way ANOVA vs Friedman test
Pearson correlation coefficient vs Spearman R, Kendal Tau or Gamma coefficient
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Non-paramteric statistical procedures are less powerful because they use less information in their calulation. For example, a parametric correlation uses information about the mean and deviation from the mean while a non-parametric correlation will use only the ordinal position of pairs of scores. perason correlation
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