Identification and Estimation of Hierarchical Latent Attribute Models

06/19/2019
by   Yuqi Gu, et al.
0

Hierarchical Latent Attribute Models (HLAMs) are a popular family of discrete latent variable models widely used in social and biological sciences. The key ingredients of an HLAM include a binary structural matrix specifying how the observed variables depend on the latent attributes, and also certain hierarchical constraints on allowable configurations of the latent attributes. This paper studies the theoretical identifiability issue and the practical estimation problem of HLAMs. For identification, the challenging problem of identifiability under a complex hierarchy is addressed and sufficient and almost necessary identification conditions are proposed. For estimation, a scalable algorithm for estimating both the structural matrix and the attribute hierarchy is developed. The superior performance of the proposed algorithm is demonstrated in various experimental settings, including both synthetic data and a real dataset from an international educational assessment.

READ FULL TEXT
research
04/05/2021

Learning Latent and Hierarchical Structures in Cognitive Diagnosis Models

Cognitive Diagnosis Models (CDMs) are a special family of discrete laten...
research
04/08/2019

Learning Attribute Patterns in High-Dimensional Structured Latent Attribute Models

Structured latent attribute models (SLAMs) are a special family of discr...
research
06/06/2021

Hypothesis Testing for Hierarchical Structures in Cognitive Diagnosis Models

Cognitive Diagnosis Models (CDMs) are a special family of discrete laten...
research
09/09/2020

A Joint MLE Approach to Large-Scale Structured Latent Attribute Analysis

Structured Latent Attribute Models (SLAMs) are a family of discrete late...
research
01/09/2023

Latent Conjunctive Bayesian Network: Unify Attribute Hierarchy and Bayesian Network for Cognitive Diagnosis

Cognitive diagnostic assessment aims to measure specific knowledge struc...
research
08/22/2020

On the Identifiability of Latent Class Models for Multiple-Systems Estimation

Latent class models have recently become popular for multiple-systems es...
research
02/28/2018

A social Network Analysis of the Operations Research/Industrial Engineering Faculty Hiring Network

We study the Operations Research/Industrial-Systems Engineering (ORIE) f...

Please sign up or login with your details

Forgot password? Click here to reset