  Pearle (1970) gave an example of a local hidden variables model which exactly
reproduced the singlet correlations of quantum theory, through the device of
data-rejection: particles can fail to be detected in a way which depends on the
hidden variables carried by the particles and on the measurement settings. If
the experimenter computes correlations between measurement outcomes of particle
pairs for which both particles are detected, he is actually looking at a
subsample of particle pairs, determined by interaction involving both
measurement settings and the hidden variables carried in the particles. We
correct a mistake in Pearle's formulas (a normalization error) and more
importantly show that the model is more simple than first appears. We
illustrate with visualisations of the model and with a small simulation
experiment, with code in the statistical programming language R included in the
paper. Open problems are discussed.
