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ERIC Number: EJ1019076
Record Type: Journal
Publication Date: 2013-Oct
Pages: 19
Abstractor: As Provided
ISSN: ISSN-0013-1644
Optimal Design in Three-Level Block Randomized Designs with Two Levels of Nesting: An ANOVA Framework with Random Effects
Konstantopoulos, Spyros
Educational and Psychological Measurement, v73 n5 p784-802 Oct 2013
Large-scale experiments that involve nested structures may assign treatment conditions either to subgroups such as classrooms or to individuals such as students within subgroups. Key aspects of the design of such experiments include knowledge of the variance structure in higher levels and the sample sizes necessary to reach sufficient power to detect the treatment effect. This study provides methods for maximizing power within a fixed budget in three-level block randomized balanced designs with two levels of nesting, where, for example, students are nested within classrooms and classrooms are nested within schools, and schools and classrooms are random effects. The power computations take into account the costs of units of different levels, the variance structure at the second (e.g., classroom) and third (e.g., school) levels, and the sample sizes (e.g., number of Level-1, Level-2, and Level-3 units).
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Publication Type: Journal Articles; Reports - Research
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A