Asymptotic Standard Errors for Item Response Theory True Score Equating of Polytomous Items

2015 ◽  
Vol 52 (1) ◽  
pp. 106-120 ◽  
Author(s):  
Cheow Cher Wong
Keyword(s):  
Item Response Theory ◽  
Item Response ◽  
Standard Errors ◽  
True Score ◽  
Response Theory ◽  
Polytomous Items ◽  
Asymptotic Standard Errors ◽  
True Score Equating

Item Response Theory True Score Equatings and Their Standard Errors

2001 ◽  
Vol 26 (1) ◽  
pp. 31-50 ◽  
Author(s):  
Haruhiko Ogasawara
Keyword(s):  
Item Response Theory ◽  
Item Response ◽  
Standard Errors ◽  
Simultaneous Estimation ◽  
True Score ◽  
Response Theory ◽  
Asymptotic Standard Errors ◽  
Item Parameters ◽  
Irt Equating ◽  
Equating Coefficients

The asymptotic standard errors of the estimates of the equated scores by several types of item response theory (IRT) true score equatings are provided. The first group of equatings do not use IRT equating coefficients. The second group of equatings use the IRT equating coefficients given by the moment or characteristic curve methods. The equating designs considered in this article cover those with internal or external common items and the methods with separate or simultaneous estimation of item parameters of associated tests. For the estimates of the asymptotic standard errors of the equated true scores, the method of marginal maximum likelihood estimation is employed for estimation of item parameters.

scholarly journals Simple-Structure Multidimensional Item Response Theory Equating for Multidimensional Tests

2019 ◽  
Vol 80 (1) ◽  
pp. 91-125
Author(s):  
Stella Y. Kim ◽  
Won-Chan Lee ◽  
Michael J. Kolen
Keyword(s):  
Item Response Theory ◽  
Item Response ◽  
Simple Structure ◽  
Multidimensional Item Response Theory ◽  
Multidimensional Data ◽  
True Score ◽  
Multidimensional Item Response ◽  
Response Theory ◽  
Data Types ◽  
True Score Equating

A theoretical and conceptual framework for true-score equating using a simple-structure multidimensional item response theory (SS-MIRT) model is developed. A true-score equating method, referred to as the SS-MIRT true-score equating (SMT) procedure, also is developed. SS-MIRT has several advantages over other complex multidimensional item response theory models including improved efficiency in estimation and straightforward interpretability. The performance of the SMT procedure was examined and evaluated through four studies using different data types. In these studies, results from the SMT procedure were compared with results from four other equating methods to assess the relative benefits of SMT compared with the other procedures. In general, SMT showed more accurate equating results compared with the traditional unidimensional IRT (UIRT) equating when the data were multidimensional. More accurate performance of SMT over UIRT true-score equating was consistently observed across the studies, which supports the benefits of a multidimensional approach in equating for multidimensional data. Also, SMT performed similarly to a SS-MIRT observed score method across all studies.

scholarly journals The Delta-Scoring Method of Tests With Binary Items: A Note on True Score Estimation and Equating

2017 ◽  
Vol 78 (5) ◽  
pp. 805-825 ◽  
Author(s):  
Dimiter M. Dimitrov
Keyword(s):  
Item Response Theory ◽  
Item Response ◽  
Large Scale ◽  
Standard Errors ◽  
True Score ◽  
Response Theory ◽  
Scoring Method ◽  
New Developments ◽  
Item Response Function ◽  
True Values

This article presents some new developments in the methodology of an approach to scoring and equating of tests with binary items, referred to as delta scoring (D-scoring), which is under piloting with large-scale assessments at the National Center for Assessment in Saudi Arabia. This presentation builds on a previous work on delta scoring and adds procedures for scaling and equating, item response function, and estimation of true values and standard errors of D scores. Also, unlike the previous work on this topic, where D-scoring involves estimates of item and person parameters in the framework of item response theory, the approach presented here does not require item response theory calibration.

scholarly journals On the Connections Between Item Response Theory and Classical Test Theory: A Note on True Score Evaluation for Polytomous Items via Item Response Modeling

2017 ◽  
Vol 79 (6) ◽  
pp. 1198-1209 ◽  
Author(s):  
Tenko Raykov ◽  
Dimiter M. Dimitrov ◽  
George A. Marcoulides ◽  
Michael Harrison
Keyword(s):  
Item Response Theory ◽  
Item Response ◽  
Classical Test Theory ◽  
Test Theory ◽  
True Score ◽  
Response Theory ◽  
Polytomous Items ◽  
Item Response Modeling ◽  
Classical Test ◽  
Response Modeling

This note highlights and illustrates the links between item response theory and classical test theory in the context of polytomous items. An item response modeling procedure is discussed that can be used for point and interval estimation of the individual true score on any item in a measuring instrument or item set following the popular and widely applicable graded response model. The method contributes to the body of research on the relationships between classical test theory and item response theory and is illustrated on empirical data.

Item Response Theory for Scores on Tests Including Polytomous Items with Ordered Responses

1995 ◽  
Vol 19 (1) ◽  
pp. 39-49 ◽  
Author(s):  
David Thissen ◽  
Mary Pommerich ◽  
Kathleen Billeaud ◽  
Valerie S. L. Williams
Keyword(s):  
Item Response Theory ◽  
Item Response ◽  
Response Theory ◽  
Polytomous Items
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