The Sufficient and Necessary Condition for the Identifiability and Estimability of the DINA Model

11/08/2017
by   Yuqi Gu, et al.
0

Cognitive Diagnosis Models (CDMs) are useful statistical tools in cognitive diagnosis assessment. However, as many other latent variable models, the CDMs often suffer from the non-identifiability issue. This work gives the sufficient and necessary condition for the identifiability of the basic DINA model, which not only addresses the open problem in Xu and Zhang (2016, Psychomatrika, 81:625-649) on the minimal requirement for the identifiability, but also sheds light on the study of more general CDMs, which often cover the DINA as a submodel. Moreover, we show the identifiability condition ensures the consistent estimation of the model parameters. From a practical perspective, the identifiability condition only depends on the Q-matrix structure and is easy to verify, which would provide a guideline for designing statistically valid and estimable cognitive diagnosis tests.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
10/09/2018

Sufficient and Necessary Conditions for the Identifiability of the Q-matrix

Restricted latent class models (RLCMs) have recently gained prominence i...
research
04/03/2023

Identifiability of Cognitive Diagnosis Models with Polytomous Responses

Cognitive Diagnosis Models (CDMs) are a powerful statistical and psychom...
research
03/12/2018

Partial Identifiability of Restricted Latent Class Models

Latent class models have wide applications in social and biological scie...
research
03/27/2021

Identifiability of Latent Class Models with Covariates

Latent class models with covariates are widely used for psychological, s...
research
11/18/2019

The Parameters of Minimal Linear Codes

Let k≤ n be two positive integers and q a prime power. The basic questio...
research
09/25/2012

Condition for neighborhoods induced by a covering to be equal to the covering itself

It is a meaningful issue that under what condition neighborhoods induced...
research
07/08/2020

A complete characterization of the APN property of a class of quadrinomials

In this paper, by the Hasse-Weil bound, we determine the necessary and s...

Please sign up or login with your details

Forgot password? Click here to reset