In: Statistics and Probability
What are the key differences between parametric and non-parametric tests? Provide one example of a parametric test and one example of a non-parametric test.
1)the measure of central tendency in the parametric test is
mean, while in the case of the nonparametric test is median.
2)In the parametric test, there is complete information about the
population. Conversely, in the nonparametric test, there is no
information about the population.
3)The applicability of parametric test is for variables only,
whereas nonparametric test applies to both variables and
attributes.
4)In the parametric test, the test statistic is based on distribution. On the other hand, the test statistic is arbitrary in the case of the nonparametric test.
5) In the parametric test, it is assumed that the measurement of variables of interest is done on interval or ratio level. As opposed to the nonparametric test, wherein the variable of interest are measured on nominal or ordinal scale.