Before revision:  We propose to estimate f nonparametrically using the method of sieves. We provide conditions for consistency of this estimator when either n or T or both divergeto infinity, and when the answers of each subject are correlated and this correlation differs across subjects.
After revision:  We propose to estimate the unknown function f linking stimuli to responses through a nonparametric sieve estimator. We give conditions for consistency of this estimator when either n or T or both divergeto infinity, and when the answers of each subject are correlated and this correlation differs across subjects.