Response-Adaptive Allocation for Circular Data

Abstract

Response-adaptive designs are used in phase III clinical trials to allocate a larger proportion of patients to the better treatment. Circular data is a natural outcome in many clinical trial setup, e.g., some measurements in opthalmologic studies, degrees of rotation of hand or waist, etc. There is no available work on response-adaptive designs for circular data. With reference to a dataset on cataract surgery we provide some response-adaptive designs where the responses are of circular nature and propose some test statistics for treatment comparison under adaptive data allocation procedure. Detailed simulation study and the analysis of the dataset, including redesigning the cataract surgery data, are carried out.

Circular‐circular regression model with a spike at zero

“…A multiplication by 4 (modulo 2 ) results in a single preferred direction (which is 0) for the responses. This dataset is considered by Biswas et al 24,25 for testing which method of cataract surgery gives the best protection against the problem of astigmatism and also for some data-dependent allocation. Biswas et al 13 again considered the data and illustrated that a zero-inflated circular distribution fits the data; however, all the earlier studies ignored the associated covariates.…”