ERIC Number: EJ1389496
Record Type: Journal
Publication Date: 2023
Pages: 18
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0022-0973
EISSN: EISSN-1940-0683
Robust Small Area Estimation for Generalization
Chan, Wendy; Oh, Jimin
Journal of Experimental Education, v91 n3 p539-556 2023
Many generalization studies in education are typically based on a sample of 30-70 schools while the inference population is at least twenty times larger. This small sample to population size ratio limits the precision of design-based estimators of the population average treatment effect. Prior work has shown the potential of small area estimation methods to improve generalizations from small samples, specifically within the subclassification framework. However, small area estimation methods are model-based so that the validity of the estimates depends on the model assumptions. In this study, we explore a type of robust small area estimator and assess its performance in settings when core model assumptions are violated. We use a simulation study to compare the robust estimator with a small area estimator that is commonly used in practice and identify the conditions, if any, under which the robust estimator provides improvement. We illustrate the methods using an empirical example and discuss the implications for generalization studies with small samples.
Descriptors: Generalization, Computation, Probability, Sample Size, Grade 7, Middle School Students, Computer Simulation, Regression (Statistics), Mathematics Achievement
Routledge. Available from: Taylor & Francis, Ltd. 530 Walnut Street Suite 850, Philadelphia, PA 19106. Tel: 800-354-1420; Tel: 215-625-8900; Fax: 215-207-0050; Web site: http://www.tandf.co.uk/journals
Publication Type: Journal Articles; Reports - Research
Education Level: Elementary Education; Grade 7; Junior High Schools; Middle Schools; Secondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Location: Texas
Grant or Contract Numbers: N/A