Definition

1. Adjective:
   • Not involving an estimation of the parameters of a statistic: In statistics, a "nonparametric" method or test does not rely on data belonging to any particular probability distribution defined by a fixed set of parameters (like mean or variance). It makes fewer assumptions about the data's underlying distribution.

Usage Examples

• Adjective:
  • The researcher used a nonparametric test because the data did not follow a normal distribution.
  • Nonparametric methods are often applied when dealing with ordinal data or small sample sizes.

Advanced Usage

• "Nonparametric statistics": A branch of statistics comprising methods that are not based on parameterized families of probability distributions.

  • Her thesis focused on the robustness of nonparametric statistics.

• "Nonparametric regression": A form of regression analysis that models the relationship between variables without assuming a specific functional form (like linear or quadratic).

  • We used nonparametric regression to model the complex, nonlinear trend in the data.

Variants and Related Words

• Nonparametrically (adverb): In a nonparametric manner.

  • The data were analyzed nonparametrically.

• Parametric (adjective): The opposite concept, involving or characterized by the estimation of parameters.

  • A t-test is a common parametric test.

Synonyms

• Distribution-free: A synonym often used interchangeably with "nonparametric," emphasizing the lack of assumption about the data's distribution.

Related Phrases

• Nonparametric test: A statistical test that is nonparametric.

  • The Mann-Whitney U test is a popular nonparametric test for comparing two independent groups.

• Nonparametric model: A statistical model that does not assume a specific parametric form.

  • The analyst chose a nonparametric model for greater flexibility.

Adjective

1. not involving an estimation of the parameters of a statistic