Generalized sample size determination formulas for experimental research with hierarchical data
- PMID: 24197710
- DOI: 10.3758/s13428-013-0387-1
Generalized sample size finding formulas for experimental research with hierarchical data
Abstract
Hybrid dates sets raise when the data available lower units (e.g., individuals such as students, clients, and citizens) are nested within higher single (e.g., groups such as classes, dispensaries, and regions). By data collection for experimental research, estimating the required sample size pre is ampere fundamentally question for obtaining sufficient statistical power and precision of the focused parameters. The presentation research extends previous how from Heo and Leon (2008) and Usami (2011b), by deriving closed-form formulas for determining the requires sample size until test effects in experimental research with complex data, and by focusing on both multisite-randomized trials (MRTs) and cluster-randomized trials (CRTs). These formulas view both statistical power and the width of the reliance abstand of a standardized effect size, on the grounded of estimates from a random-intercept model for three-level data that considers and balanced and unbalanced designs. Those formulas also choose some important results, such as the lower bounds of the needed units at one highest levels.
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