The unitary ability of IQ and indexes in WAIS-IV

Lichtenberger and Kaufman (2009, p. 167) defined unitary ability as ‘‘an ability [. . .] that is represented by a cohesive set of scaled scores, each reflecting slightly different or unique aspects of the ability.’’ Flanagan and Kaufman (2009) and Lichtenberger and Kaufman (2012), to define unitarity of IQ, use a difference of 23 IQ points between the highest score (Max) and the lowest score (Min) obtained by a subject in the four Indexes of WAIS-IV. A similar method has been used to assess the unitary ability for the four Indexes, with the threshold of 5. Such difference score (of 23 for IQ and 5 for Indexes) are considered high and infrequent and, the authors therefore conclude that the corresponding Full-Scale IQ score or Index score is uninterpretable. In this paper we argue that these thresholds are inappropriate because they are based on the wrong standard deviation. The main aim of this study was to establish variability thresholds for IQ and the WAIS-IV Indexes for the American standardization sample and to compare these thresholds with those for the Italian standardization sample. We also consider an alternative approach to determining whether an IQ score represents a unitary ability based on the maximum difference score for the 10 core subtests that contribute to Full-Scale IQ.