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

Author

Listed:
  • Jiangtao Gou
  • Karen Ruth
  • Stanley Basickes
  • Samuel Litwin

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.

Suggested Citation

  • Jiangtao Gou & Karen Ruth & Stanley Basickes & Samuel Litwin, 2024. "A fortune cookie problem: A test for nominal data whether two samples are from the same population of equally likely elements," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 53(9), pages 3063-3077, May.
  • Handle: RePEc:taf:lstaxx:v:53:y:2024:i:9:p:3063-3077
    DOI: 10.1080/03610926.2022.2150062
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