title: On the Consistency of Q-Matrix Estimation: A Rejoinder.
abstract: This rejoinder responds to the commentary by Liu (Psychometrika, 2015) entitled "On the consistency of Q-matrix estimation: A commentary" on the paper "A general method of empirical Q-matrix validation" by de la Torre and Chiu (Psychometrika, 2015). It discusses and addresses three concerns raised in the commentary, namely the estimation accuracy when a provisional Q-matrix is used, the consistency of the Q-matrix estimator, and the computational efficiency of the proposed method.
authors.affiliation: Department of Educational Psychology, Rutgers, The State University of New Jersey, 10 Seminary Place, New Brunswick, NJ, 08901 , USA. j.delatorre@rutgers.edu.
authors.forename: Jimmy
authors.initials: J
authors.lastname: de la Torre
authors.affiliation: Department of Educational Psychology, Rutgers, The State University of New Jersey, 10 Seminary Place, New Brunswick, NJ, 08901 , USA.
authors.forename: Chia-Yi
authors.initials: CY
authors.lastname: Chiu
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D003627:Data Interpretation, Statistical; D006801:Humans; D015233:Models, Statistical; D011594:Psychometrics
keywords: G-DINA; MMLE; Q-matrix; cognitive diagnosis; validation