The E-Step of the MGROUP EM Algorithm. Program Statistics Research Technical Report No. 93-37.
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| Title: | The E-Step of the MGROUP EM Algorithm. Program Statistics Research Technical Report No. 93-37. |
|---|---|
| Language: | English |
| Authors: | Thomas, Neal, Educational Testing Service, Princeton, NJ. |
| Peer Reviewed: | N |
| Page Count: | 77 |
| Publication Date: | 1993 |
| Document Type: | Reports - Evaluative |
| Descriptors: | Algorithms, Elementary Secondary Education, Estimation (Mathematics), Evaluation Methods, Item Response Theory, Models, Statistical Distributions |
| Assessment and Survey Identifiers: | National Assessment of Educational Progress |
| Abstract: | 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) |
| Entry Date: | 1995 |
| Accession Number: | ED382647 |
| Database: | ERIC |
| FullText | Text: Availability: 0 CustomLinks: – Url: https://eric.ed.gov/contentdelivery/servlet/ERICServlet?accno=ED382647 Name: ERIC Full Text Category: fullText Text: Full Text from ERIC |
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| RecordInfo | BibRecord: BibEntity: Languages: – Text: English PhysicalDescription: Pagination: PageCount: 77 Subjects: – SubjectFull: Algorithms Type: general – SubjectFull: Elementary Secondary Education Type: general – SubjectFull: Estimation (Mathematics) Type: general – SubjectFull: Evaluation Methods Type: general – SubjectFull: Item Response Theory Type: general – SubjectFull: Models Type: general – SubjectFull: Statistical Distributions Type: general – SubjectFull: National Assessment of Educational Progress Type: general Titles: – TitleFull: The E-Step of the MGROUP EM Algorithm. Program Statistics Research Technical Report No. 93-37. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Educational Testing Service, Princeton, NJ. – PersonEntity: Name: NameFull: Thomas, Neal IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 11 Type: published Y: 1993 |
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