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CPS2028 Ayon M.



                          Covariate-Adjusted response-adaptive designs
                              for semi-parametric survival responses
                                          Ayon Mukherjee
                          Lead Statistician, Novartis Pharmaceuticals, Hyderabad, India

            Abstract
            Covariate-adjusted  response-adaptive  (CARA)  designs  use  the  available
            responses to skew the treatment allocation in a clinical trial in favour of the
            treatment found at an interim stage to be best for a given patient’s covariate
            profile. There has recently been extensive research on various aspects of CARA
            designs with the patient responses assumed to follow a parametric model.
            However, the range of application for such designs become limited in real-life
            clinical trials where the responses infrequently fit a certain parametric form.
            On the other hand, the parametric assumption yields robust estimates for the
            covariate-adjusted  treatment  effects.  To  balance  these  two  requirements,
            designs  are  proposed  without  any  distributional  assumptions  about  the
            survival responses, relying only on the assumption of proportional hazards for
            the two treatment arms. To meet the multiple experimental obectives of a
            clinical trial, the proposed designs are developed based on optimal allocation
            approach. The optimal designs are based on biased coin procedures, with a
            bias towards the better treatment arm. These are the doubly-adaptive biased
            coin design (DBCD) and the efficient randomised adaptive design (ERADE). The
            derived treatment allocation proportions for these designs converge to the
            expected target values, which are functions of the Cox regression coefficients
            that are estimated sequentially with the arrival of every new patient into the
            trial. Based on simulation studies, it is found that the ERADE is preferable to
            the DBCD when the main aim is to minimise the variance of the observed
            allocation  proportion  and  to  maximise  the  power  of  the  Wald  test  for  a
            treatment difference. However, the former procedure being discrete tends to
            be slower in converging towards the expected target allocation proportion.
            Other comparative merits of the proposed designs have been highlighted and
            their preferred areas of application are discussed. It has been found that the
            proposed  designs  are  a  suitable  alternative  to  traditional  balanced
            randomisation designs in terms of their power, provided that response data
            are  available  during  the  recruitment  phase  to  enable  adaptations  to  the
            designs.

            Keywords
            Censored  response;  Optimal  allocation;  Power;  Variability;  Unbalanced
            randomization.


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