a b s t r a c tIn the present work we use ridit, a measure comparing two discrete random variables, to develop a two-treatment response adaptive allocation technique in the presence of a stochastic prognostic factor. Various exact and asymptotic performance measures of the proposed technique are obtained and are compared with that of the existing techniques.
The use of ridit, as a probability score, is a very common practice to compare discrete random variables in discrete data analysis. In the present work we formulate ridit reliability functionals for some comparison of K independent binary random variables. We use such functionals to provide a generalized response-adaptive design (GRAD) on K ≥ + 2 treatment-arms for dichotomous response variables. We exhibit some properties of the proposed design and compare it with some of the existing competitors by computing its various performance measures. We also provide a discussion towards a possible modification of the GRAD in the presence of covariates.
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