Ratings published by the National Council on Teacher Quality (NCTQ) require selectivity in admission to educator preparation programs. NCTQ provides a list of citations to support the selectivity standard termed "strong support." A review of each citation in the list found little or no support for the standard. Original data was…

To generalize test results beyond the particular test administration, an examinee's ability estimate must be independent of the particular items attempted, and the item difficulty calibrations must be independent of the particular sample of people attempting the items. This stability is a key concept of the Rasch model, a latent trait model of…