I find it strange, even suspicious, that balanced/minimized designs are not recommended by biostatisticians in these particular cases of scarce resources.
Fisher and Gossett debated the merits of balanced vs randomized designs going on 100 years ago. They were more recently discussed in the CONSORT guidelines in 2010. The first minimization algorithms are over 50 years old, with improvements being made more recently. Even if one has a preference for large randomized trials, why don’t controlled allocation designs such as minimization get used more in these resource constrained scenarios?
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