Anytime it is appropriate to use a nonparametric statistic it is appropriate to use a parametric statistic.

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Nonparametric statistics are used when assumptions of normality, equal variances, and independence are not met, while parametric statistics are used when these assumptions are met. Thus, if the assumptions of parametric statistics are met, it is not necessary to use nonparametric statistics. However, the opposite is not true, as nonparametric statistics may be necessary in certain situations even when the assumptions of parametric statistics are met.

Anytime It Is Appropriate to Use a Nonparametric Statistic It