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Glite Dictionary
distribution-free statistic

distribution-free statistic

7.9
A number calculated from data that does not need the data's distribution to be known
  • noun
  • Specialized
translation icon : estadística libre de distribución
  • A distribution-free statistic can be calculated without knowing the data's underlying distribution.

Examples

  • The median is a classic example of a distribution-free statistic.

  • A distribution-free statistic can be useful in non-parametric tests.

  • A distribution-free statistic is often used when the underlying distribution of the data is unknown.

  • Researchers chose a distribution-free statistic to analyze the data due to the small sample size.

  • Researchers often prefer distribution-free statistics for their flexibility.

  • In cases where sample distributions are not normal, using a distribution-free statistic is advisable.

  • The use of a distribution-free statistic helps avoid assumptions about the population parameters.

Synonyms

nonparametric statistic
vsdistribution-free statistic
  • Specialized
8.2

A statistic used when you cannot assume a specific data pattern

has identical meaning but frames it as not requiring prior knowledge of distribution

Surface Forms

distribution-free statistic singular
distribution-free statistics plural

Morphology

distribution-free + statistic

The phrase composes transparently: 'distribution-free' denotes 'not depending on a (probability) distribution' and 'statistic' denotes a numerical measure, so the meaning 'a statistic that does not rely on an underlying distribution' follows directly from the parts. This adjective + noun pattern is standard and cross-linguistically common, so a learner who knows the constituent words can infer the MWE's basic meaning (though the statistical technicalities may require domain knowledge).

Etymology

Distribution-free statistic The noun distribution-free statistic comes from the idea of a number you can calculate that is distribution-free, it does not depend on the data's distribution or its hidden pattern. So, it means a statistic that still 'works' when the data's 'distribution' is 'unknown'.