Maximum Likelihood Estimation of the Polychoric Correlation Coefficient

1979/12/01 by Ulf Olsson · 24 citations
Physics and Astronomy · Computer Science · #NMR spectroscopy and applications #Bayesian Methods and Mixture Models #Blind Source Separation Techniques

paper · doi:10.1007/bf02296207

Abstract

The polychoric correlation is discussed as a generalization of the tetrachoric correlation coefficient to more than two classes. Two estimation methods are discussed: Maximum likelihood estimation, and what may be called “two-step maximum likelihood” estimation. For the latter method, the thresholds are estimated in the first step. For both methods, asymptotic covariance matrices for estimates are derived, and the methods are illustrated and compared with artificial and real data.

Cited by

• smartcor: Intelligent Correlation Method Selection for Mixed Variable Types
• A General Structural Equation Model with Dichotomous, Ordered Categorical, and Continuous Latent Variable Indicators
• Asymptotic efficiency of the two-stage estimation method for copula-based models
• Psychometric Properties of the Parent Version of the Revised Child Anxiety and Depression Scale in a Clinical Sample of Turkish Children and Adolescents
• Evaluating estimation methods for ordinal data in structural equation modeling
• What emotions does music express? Structure of affect terms in music using iterative crowdsourcing paradigm
• Measuring the Level and Inequality of Wealth: An Application to China
• Robust Estimation of Polychoric Correlation
• The influence of socioeconomic status on changes in young people’s expectations of applying to university
• Hashing-based remote sensing image tamper detection system
• Measuring cognitive and psychological engagement: Validation of the Student Engagement Instrument
• On Misconceptions and the Limited Usefulness of Ordinal Alpha
• SOCIOECONOMIC STATUS MEASUREMENT WITH DISCRETE PROXY VARIABLES: IS PRINCIPAL COMPONENT ANALYSIS A RELIABLE ANSWER?
• Widening Participation in Higher Education: Analysis Using Linked Administrative Data
• Robust Estimation of Polyserial Correlation
• Beyond Test Scores: How Academic Rank Shapes Long-Term Outcomes
• Bayesian rank-based hypothesis testing for the rank sum test, the signed rank test, and Spearman'sρ
• Model-based clustering of Gaussian copulas for mixed data
• Bandwidth and Fidelity on the NEO-Five Factor Inventory: Replicability and Reliability of Item Cluster Subcomponents
• Do ratings of firms converge? Implications for managers, investors and strategy researchers
• Tasks, wages and new technologies
• A Partial Least Squares Algorithm Handling Ordinal Variables also in Presence of a Small Number of Categories
• ESAT and M-CHAT as screening instruments for autism spectrum disorders at 18 months in the general population: issues of overlap and association with clinical referrals
• What makes work meaningful and why economists should care about it

Related

• Contributions to Estimation of Polychoric Correlations
• Robust Estimation of Polychoric Correlation
• Iteratively Reweighte Least Squares Method for Estimating Polyserial and Polychoric Correlation Coefficients
• Robust Estimation of Polyserial Correlation
• Likelihood-Based Inference with Separable Correlation Matrices