The ordering of future observations from multiple groups

Coolen-Maturi, Tahani

Abstract

There are many situations where comparison of different groups is of great interest. Considering the ordering of the efficiency of some treatments is an example. We present nonparametric predictive inference (NPI) for the ordering of real-valued future observations from multiple independent groups. The uncertainty is quantified using NPI lower and upper probabilities for the event that the next future observations from these groups are ordered in a specific way. Several applications of these NPI lower and upper probabilities are explored, including multiple groups inference, diagnostic accuracy and ranked set sampling.

Citation

Coolen-Maturi, T. (2022). The ordering of future observations from multiple groups. Communications in Statistics - Simulation and Computation, 51(12), 7526-7543. https://doi.org/10.1080/03610918.2020.1839768

• Journal Article Type: Article
• Acceptance Date: Oct 16, 2020
• Online Publication Date: Oct 30, 2020
• Publication Date: 2022
• Deposit Date: Sep 28, 2020
• Publicly Available Date: Oct 30, 2021
• Journal: Communications in Statistics - Simulation and Computation
• Print ISSN: 0361-0918
• Electronic ISSN: 1532-4141
• Publisher: Taylor and Francis Group
• Peer Reviewed: Peer Reviewed
• Volume: 51
• Issue: 12
• Pages: 7526-7543
• DOI: https://doi.org/10.1080/03610918.2020.1839768