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How Much Is Too Much Time Spent on Homework: An Exploratory Study Based on a Bayesian Multilevel Piecewise Model with a Random Change Point
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Hao Zhou; Jian Liu; Yueyang Shao; Tian Yanyan – Educational Studies, 2025
In this study, we applied multilevel piecewise linear regression with a random-effects model under a Bayesian estimation framework to a total of 5,072 7th grade students in 35 schools to search for an optimum time in terms of the effect of homework time on student academic achievement. First, we found a nonlinear relationship between time spent on…
Descriptors: Foreign Countries, Grade 7, Homework, Time on Task
The Effects of Cultural Transmission Are Modulated by the Amount of Information Transmitted
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Griffiths, Thomas L.; Lewandowsky, Stephan; Kalish, Michael L. – Cognitive Science, 2013
Information changes as it is passed from person to person, with this process of cultural transmission allowing the minds of individuals to shape the information that they transmit. We present mathematical models of cultural transmission which predict that the amount of information passed from person to person should affect the rate at which that…
Descriptors: Culture, Information Dissemination, Mathematical Models, Prediction
Grain Size and Parameter Recovery with TIMSS and the General Diagnostic Model
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Skaggs, Gary; Wilkins, Jesse L. M.; Hein, Serge F. – International Journal of Testing, 2016
The purpose of this study was to explore the degree of grain size of the attributes and the sample sizes that can support accurate parameter recovery with the General Diagnostic Model (GDM) for a large-scale international assessment. In this resampling study, bootstrap samples were obtained from the 2003 Grade 8 TIMSS in Mathematics at varying…
Descriptors: Achievement Tests, Foreign Countries, Elementary Secondary Education, Science Achievement
An Empirical Bayes Approach to Item Banking. Project Psychometric Aspects of Item Banking No. 6. Research Report 86-6.
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van der Linden, Wim J.; Eggen, Theo J. H. M. – 1986
A procedure for the sequential optimization of the calibration of an item bank is given. The procedure is based on an empirical Bayes approach to a reformulation of the Rasch model as a model for paired comparisons between the difficulties of test items in which ties are allowed to occur. First, it is indicated how a paired-comparisons design…
Descriptors: Bayesian Statistics, Foreign Countries, Item Banks, Latent Trait Theory
Applications of Decision Theory to Test-Based Decision Making. Project Psychometric Aspects of Item Banking No. 23. Research Report 87-9.
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van der Linden, Wim J. – 1987
The use of Bayesian decision theory to solve problems in test-based decision making is discussed. Four basic decision problems are distinguished: (1) selection; (2) mastery; (3) placement; and (4) classification, the situation where each treatment has its own criterion. Each type of decision can be identified as a specific configuration of one or…
Descriptors: Bayesian Statistics, Classification, Decision Making, Foreign Countries
A Criterion-Referenced Measurement Model with Corrections for Guessing and Carelessness. Occasional Paper No. 13.
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Morgan, George – 1979
This study developed a two-parameter linear probabilistic model of criterion referenced measurement, which relates an examinee's observed ability to his true ability through a guessing parameter and a carelessness parameter, both of which are probabilities. This model was applied to a survey of 10- and 14-year-old Australian students to estimate…
Descriptors: Basic Skills, Bayesian Statistics, Computer Programs, Criterion Referenced Tests