odr: Optimal Design and Statistical Power for Experimental Studies Investigating Main, Mediation, and Moderation Effects

Calculate the optimal sample size allocation that uses the minimum resources to achieve targeted statistical power in experiments. Perform power analyses with and without accommodating costs and budget. The designs cover single-level and multilevel experiments detecting main, mediation, and moderation effects (and some combinations). The references for the proposed methods include: (1) Shen, Z., & Kelcey, B. (2020). Optimal sample allocation under unequal costs in cluster-randomized trials. Journal of Educational and Behavioral Statistics, 45(4): 446-474. <doi:10.3102/1076998620912418>. (2) Shen, Z., & Kelcey, B. (2022b). Optimal sample allocation for three-level multisite cluster-randomized trials. Journal of Research on Educational Effectiveness, 15 (1), 130-150. <doi:10.1080/19345747.2021.1953200>. (3) Shen, Z., & Kelcey, B. (2022a). Optimal sample allocation in multisite randomized trials. The Journal of Experimental Education, 90(3), 693-711. <doi:10.1080/00220973.2020.1830361>. (4) Shen, Z., Leite, W., Zhang, H., Quan, J., & Kuang, H. (2025). Using ant colony optimization to identify optimal sample allocations in cluster-randomized trials. The Journal of Experimental Education, 93(1), 167-185. <doi:10.1080/00220973.2024.2306392>. (5) Shen, Z., Li, W., & Leite, W. (in press). Statistical power and optimal design for randomized controlled trials investigating mediation effects. Psychological Methods. <doi:10.1037/met0000698>. (6) Champely, S. (2020). pwr: Basic functions for power analysis (Version 1.3-0) [Software]. Available from <https://CRAN.R-project.org/package=pwr>.

Version:	1.8.3
Depends:	R (≥ 3.3.0), stats (≥ 3.0.0), graphics (≥ 3.0.0), base (≥ 3.0.0)
Suggests:	rmarkdown, knitr, markdown
Published:	2026-02-11
DOI:	10.32614/CRAN.package.odr
Author:	Zuchao Shen [aut, cre], Benjamin Kelcey [aut]
Maintainer:	Zuchao Shen <zuchao.shen at gmail.com>
License:	GPL-3
NeedsCompilation:	no
Language:	en-US
In views:	ExperimentalDesign
CRAN checks:	odr results

Documentation:

Reference manual:	odr.html , odr.pdf
Vignettes:	Package 'odr' (source, R code)

Downloads:

Package source:	odr_1.8.3.tar.gz
Windows binaries:	r-devel: odr_1.8.3.zip, r-release: odr_1.8.3.zip, r-oldrel: odr_1.8.3.zip
macOS binaries:	r-release (arm64): odr_1.8.3.tgz, r-oldrel (arm64): odr_1.8.3.tgz, r-release (x86_64): odr_1.8.3.tgz, r-oldrel (x86_64): odr_1.8.3.tgz
Old sources:	odr archive

Reverse dependencies:

Reverse suggests:

anomo

Linking:

Please use the canonical form https://CRAN.R-project.org/package=odr to link to this page.