Optimal Design and Statistical Power for Experimental Studies Investigating Main, Mediation, and Moderation Effects
Generate optimal design parameters using ant colony optimization
Optimal sample allocation calculation for single-level randomized cont...
Optimal sample allocation calculation for single-level experiments det...
Optimal sample allocation calculation for two-level CRTs probing media...
Optimal sample allocation calculation for two-level CRTs detecting mai...
Optimal sample allocation calculation for two-level multisite-randomiz...
Optimal sample allocation calculation for two-level MRTs detecting mai...
Optimal sample allocation calculation for three-level CRTs detecting m...
Optimal sample allocation calculation for three-level MRTs detecting m...
Optimal sample allocation calculation for four-level CRTs detecting ma...
Optimal sample allocation calculation for four-level MRTs detecting ma...
Optimal Design and Statistical Power for Experimental Studies Investig...
Budget and/or sample size, power, MDES calculation for MRTs investigat...
Budget and/or sample size, power, MDES calculation for single-level ex...
Budget and/or sample size, power calculation for CRTs probing mediatio...
Budget and/or sample size, power, MDES calculation for two-level CRTs ...
Budget and/or sample size, power, MDES calculation for MRTs investigat...
Budget and/or sample size, power, MDES calculation for two-level MRTs ...
Budget and/or sample size, power, MDES calculation for three-level CRT...
Budget and/or sample size, power, MDES calculation for three-level MRT...
Budget and/or sample size, power, MDES calculation for four-level CRTs...
Budget and/or sample size, power, MDES calculation for four-level MRTs...
Relative efficiency (RE) calculation
Relative precision and efficiency (RPE) calculation
Calculate the optimal sample size allocation that produces the highest statistical power for experimental studies under a budget constraint, and perform power analyses with and without accommodating cost structures of sampling. 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. <doi:10.1080/00220973.2020.1830361>. (4) Champely, S. (2020). pwr: Basic functions for power analysis (Version 1.3-0) [Software]. Available from <https://CRAN.R-project.org/package=pwr>.