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ERIC Number: ED382647
Record Type: Non-Journal
Publication Date: 1993-Nov
The E-Step of the MGROUP EM Algorithm. Program Statistics Research Technical Report No. 93-37.
Mislevy (1984, 1985) introduced an EM algorithm for estimating the parameters of a latent distribution model that is used extensively by the National Assessment of Educational Progress. Second order asymptotic corrections are derived and applied along with more common first order asymptotic corrections to approximate the expectations required by the E-step of the EM algorithm. These corrections produce much more accurate approximations than those produced by two different normal approximations. The asymptotic corrections are applicable in high dimensional models. The number of function evaluations required by these methods grows linearly as dimension increases, in contrast to the exponential growth with dimension of product quadrature rules which yield similar accuracy. Two figures and two tables illustrate the analysis. Six appendixes present various subroutines. (Contains 22 references.) (Author/SLD)
Publication Type: Reports - Evaluative
Education Level: N/A
Authoring Institution: Educational Testing Service, Princeton, NJ.
Identifiers - Assessments and Surveys: National Assessment of Educational Progress