A fortune cookie problem: A test for nominal data whether two samples are from the same population of equally likely elements

JT Gou, S Basickes, Karen Ruth, Samuel Litwin

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

This article considers a way to test the hypothesis that two collections of objects are from the same uniform distribution of such objects. The exact p-value is calculated based on the distribution for the observed overlaps. In addition, an interval estimate of the number of distinct objects, when all objects are equally likely, is indicated.

Original languageAmerican English
Pages (from-to)3063-3077
Number of pages15
JournalCommunications in Statistics - Theory and Methods
Volume53
Issue number9
Early online dateNov 21 2022
DOIs
StatePublished - 2024
Externally publishedYes

Keywords

  • Coupon collector problem
  • Hypergeometric distribution
  • Hypothesis testing
  • Recursion
  • Sampling with replacement
  • sampling with replacement
  • hypothesis testing
  • hypergeometric distribution
  • recursion

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