Y. Attali et T. Fraenkel, The point-biserial as a discrimination index for distractors in multiple-choice items: Deficiencies in usage and an alternative, J EDUC MEAS, 37(1), 2000, pp. 77-86
We show that using the point-biserial as a discrimination index for distrac
ters by differentiating between examinees who chose the distracter and exam
inees who did not choose the distractor is theoretically wrong and may lend
to an incorrect rejection of items. We propose an alternative usage and pr
esent empirical evidence far its suitability.