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A note on the geometric interpretation of the EM algorithm in estimating item characteristics and student abilities

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Abstract

This note uses the EM-algorithm in an item response model as an illustration of a general method of parameter estimation, which geometrically can be described as an alternating projection method.

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Correspondence to Edward H. Ip.

Additional information

The research was initiated by a series of lectures on alternating projection methods given by Imre Csiszar in 1993 at Stanford University where the first author was a graduate student.

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Ip, E.H., Lalwania, N. A note on the geometric interpretation of the EM algorithm in estimating item characteristics and student abilities. Psychometrika 65, 533–537 (2000). https://doi.org/10.1007/BF02296343

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  • DOI: https://doi.org/10.1007/BF02296343

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