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Optimal Allocation Proportion for a Two-Treatment Clinical Trial Having Correlated Binomial Responses

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mODa 9 – Advances in Model-Oriented Design and Analysis

Part of the book series: Contributions to Statistics ((CONTRIB.STAT.))

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Abstract

Optimal allocation designs for the allocation proportion are obtained in the present paper for a two-treatment clinical trial, in the presence of possible correlation between the proportion of successes for two treatments. The possibility of such correlation is motivated by real data. It is observed that the optimal allocation proportions highly depend on the correlation.

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References

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Acknowledgements

The authors wish to thank two anonymous referees for their careful reading and constructive suggestions which led to some improvement over an earlier version of the manuscript. The research of S. Mandal is supported by a Discovery Grant from the Natural Sciences and Engineering Research Council (NSERC) of Canada.

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Authors and Affiliations

  1. Applied Statistics Unit, Indian Statistical Institute, 203 B. T. Road, Kolkata, 700 108, India

    Atanu Biswas

  2. Department of Statistics, University of Manitoba, Winnipeg, MB, R3T 2N2, Canada

    Saumen Mandal

Authors
  1. Atanu Biswas
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  2. Saumen Mandal
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Corresponding author

Correspondence to Atanu Biswas .

Editor information

Editors and Affiliations

  1. Dipt. di Scienze Statistiche, University of Bologna, Via Belle Arti 41, Bologna, 40126, Italy

    Alessandra Giovagnoli

  2. and Political Science, Department of Statistics, London School Economics, Houghton Street, London, WC2A 2AE, United Kingdom

    Anthony C. Atkinson

  3. Department of Statistics, University of Glasgow, University Gardens 15, Glasgow, G12 8QW, United Kingdom

    Bernard Torsney

  4. , SEMEQ, Università del Piemonte Orientale, via Perrone 18, Novara, 28100, Italy

    Caterina May

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Biswas, A., Mandal, S. (2010). Optimal Allocation Proportion for a Two-Treatment Clinical Trial Having Correlated Binomial Responses. In: Giovagnoli, A., Atkinson, A., Torsney, B., May, C. (eds) mODa 9 – Advances in Model-Oriented Design and Analysis. Contributions to Statistics. Physica-Verlag HD. https://doi.org/10.1007/978-3-7908-2410-0_6

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