Before revision: We study a class of  tests of the randomness of  Bernoulli sequences and their application to analyses of the human tendency to perceive streaks of consecutive successes as overly representative of positive dependence-the hot hand fallacy.
After revision: We study a class of permutation tests of the randomness of Bernoulli sequences and their application to analyses of the human tendency to perceive streaks of consecutive successes as overly representative of positive dependence-the hot hand fallacy.