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Modeling Responses and Response Times in Tests with the Hierarchical Model and the Three-Parameter Lognormal Distribution
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Ranger, Jochen; Kuhn, Jörg Tobias; Ortner, Tuulia M. – Educational and Psychological Measurement, 2020
The hierarchical model of van der Linden is the most popular model for responses and response times in tests. It is composed of two separate submodels--one for the responses and one for the response times--that are joined at a higher level. The submodel for the response times is based on the lognormal distribution. The lognormal distribution is a…
Descriptors: Reaction Time, Tests, Statistical Distributions, Models
A New Person-Fit Statistic for the Lognormal Model for Response Times
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Sinharay, Sandip – Journal of Educational Measurement, 2018
Response-time models are of increasing interest in educational and psychological testing. This article focuses on the lognormal model for response times, which is one of the most popular response-time models, and suggests a simple person-fit statistic for the model. The distribution of the statistic under the null hypothesis of no misfit is proved…
Descriptors: Reaction Time, Educational Testing, Psychological Testing, Models
A New Person-Fit Statistic for the Lognormal Model for Response Times
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Sinharay, Sandip – Grantee Submission, 2018
Response-time models are of increasing interest in educational and psychological testing. This paper focuses on the lognormal model for response times (van der Linden, 2006), which is one of the most popular response-time models, and suggests a simple person-fit statistic for the model. The distribution of the statistic under the null hypothesis…
Descriptors: Reaction Time, Educational Testing, Psychological Testing, Models