Context-independence as a statistical property of hidden variable theories

The context dependence of Bell local hiddenvariable theory is reconsidered both in its mathematicaland physical justification. The compatibility of thecontext dependence of individual measurement results with the context independence of the statisticsof measurement results is shown to warrant theconsistency of the Bell framework with respect to theGleason no-hidden-variables theorem. Finally, a sharp distinction between context dependence and (anyform of) nonlocal dependence is defended on thebackground of some recent algebraic proofs ofnonlocality