Cognitive Diagnostic Models With Attribute Hierarchies: Model Estimation With a Restricted Q-Matrix Design

Constructing and Validating a Q-Matrix for Cognitive Diagnostic Analysis of a Reading Comprehension Test Battery

Of paramount importance in the study of cognitive diagnostic assessment (CDA) is the absence of tests developed for small-scale diagnostic purposes. Currently, much of the research carried out has been mainly on large-scale tests, e.g., TOEFL, MELAB, IELTS, etc. Even so, formative language assessment with a focus on informing instruction and engaging in identification of student’s strengths and...

determinant of the hankel matrix with binomial entries

abstract in this thesis at first we comput the determinant of hankel matrix with enteries a_k (x)=?_(m=0)^k??((2k+2-m)¦(k-m)) x^m ? by using a new operator, ? and by writing and solving differential equation of order two at points x=2 and x=-2 . also we show that this determinant under k-binomial transformation is invariant.

Derivative-free restricted maximum likelihood estimation in animal models with a sparse matrix solver.

Estimation of (co)variance components by derivative-free REML requires repeated evaluation of the log-likelihood function of the data. Gaussian elimination of the augmented mixed model coefficient matrix is often used to evaluate the likelihood function, but it can be costly for animal models with large coefficient matrices. This study investigated the use of a direct sparse matrix solver to ob...

Parallel Restricted Maximum Likelihood Estimation for Models with a Dense Exogenous Matrix

Statistical Analysis of Q-matrix Based Diagnostic Classification Models.

Diagnostic classification models have recently gained prominence in educational assessment, psychiatric evaluation, and many other disciplines. Central to the model specification is the so-called Q-matrix that provides a qualitative specification of the item-attribute relationship. In this paper, we develop theories on the identifiability for the Q-matrix under the DINA and the DINO models. We ...