A GENERAL PROGRAM FOR ITEM‐RESPONSE ANALYSIS THAT EMPLOYS THE STABILIZED NEWTON–RAPHSON ALGORITHM

Shelby J. Haberman

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Psychometric Methodologies and Testing Educational Assessment and Pedagogy Statistical Methods and Bayesian Inference

Abstract

ABSTRACT A general program for item‐response analysis is described that uses the stabilized Newton—Raphson algorithm. This program is written to be compliant with Fortran 2003 standards and is sufficiently general to handle independent variables, multidimensional ability parameters, and matrix sampling. The ability variables may be either polytomous or multivariate normal. Items may be dichotomous or polytomous.

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1969Statistical Theories of Mental Test Scores 1961Probabilistic Models for Some Intelligence and Attainment Tests 2012Applications of Item Response Theory To Practical Testing Problems 1982A Rasch Model for Partial Credit Scoring 1981Marginal Maximum Likelihood Estimation of Item Parameters: Application of an EM Algorithm 1968Some latent trait models and their use in inferring an examinee's ability 1992A Generalized Partial Credit Model: Application of an EM Algorithm 1972Estimating Item Parameters and Latent Ability when Responses are Scored in Two or More Nominal Categories

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