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Fixed width confidence interval estimation for general continuous responses under a response adaptive design

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  • Pritam Sarkar
  • Atanu Biswas
  • Rahul Bhattacharya

Abstract

A fixed width confidence interval for the treatment difference is obtained under heteroscedastic normal responses following a response adaptive allocation targeting Neyman optimum allocation. The developed procedure is further extended for general location-scale model based responses under a compound response adaptive allocation. The developed procedures are studied theoretically and are supported empirically assuming various response models. A real data study is also provided following the proposed procedure for the purpose of illustration.

Suggested Citation

  • Pritam Sarkar & Atanu Biswas & Rahul Bhattacharya, 2025. "Fixed width confidence interval estimation for general continuous responses under a response adaptive design," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 54(5), pages 1461-1472, March.
  • Handle: RePEc:taf:lstaxx:v:54:y:2025:i:5:p:1461-1472
    DOI: 10.1080/03610926.2024.2341180
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