A Parametric Test Is Always More Powerful Than Its Nonparametric

question 29

True/False

A parametric test is always more powerful than its nonparametric counterpart.

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Definitions:

Variance

A measure of the dispersion of a set of data points around their mean; the square of the standard deviation.

Level of Significance

The probability threshold below which the null hypothesis is rejected in hypothesis testing, typically denoted by alpha (α).

Null Hypothesis

A statement that there is no effect or no difference, and it serves as the default or starting assumption in hypothesis testing.

Variance

A measure of the dispersion of a set of data points around their mean value, quantifying how much the data points differ from each other.