The problem of dimensionality with respect to Raven's Advanced Progressive Matrices (APM) specifically and, more generally, "g" or fluid intelligence, has been a long-standing issue. The present article reports two studies examining the dimensionality of both the original Set II of the APM (n = 506) and a short form (n = 644), using principal component analysis and Rasch analysis. Although the results from the principal component analysis were equivocal, results from the Rasch analyses more strongly suggested that both forms of the test are best described as being multidimensional. Furthermore, comparison of items common to both forms indicated a context effect, thus making adaptive testing versions of this test difficult.