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ERIC Number: EJ1222719
Record Type: Journal
Publication Date: 2019
Pages: 25
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0022-0973
EISSN: N/A
Optimal Sample Allocation in Group-Randomized Mediation Studies with a Group-Level Mediator
Cox, Kyle; Kelcey, Benjamin
Journal of Experimental Education, v87 n4 p616-640 2019
We derive sample-allocation formulas that maximize the power of several mediation tests in two-level-group-randomized studies under a linear cost structure and fixed budget. The results suggest that the optimal individual sample size is typically smaller than that associated with the detection of a main effect and is frequently less than 10 under parameter values commonly seen in the literature. However, the optimal sample allocation can be heavily influenced by the group-to-individual cost ratio, the ratio of the treatment-mediator to mediator-outcome path coefficients, and the outcome variance structure. We illustrate these findings with a hypothetical group-randomized trial examining a school-discipline reform policy. To encourage utilization of the sample allocation formulas we implement them in the R package "PowerUpR" and "powerupr" Shiny application.
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: N/A
Audience: N/A
Language: English
Sponsor: National Science Foundation (NSF)
Authoring Institution: N/A
Grant or Contract Numbers: 1437679; 1552535; 1760884