Phase 1: Planning
Researchers typically plan evaluations with samples that are large enough to detect meaningful intervention effects. Minimum detectable effect (MDE) calculations estimate the “the smallest true impact that an experiment has a good chance of detecting.”[1] A smaller MDE means a study is better positioned to identify intervention effects, even if they are modest. A large MDE may cause smaller—but important—effects to go undetected.
Several factors influence the MDE:
- study design, such as whether individuals or groups are randomized
- target of inference, such as whether the study aims to estimate the effect on the study colleges or a broader population of colleges
- design parameters, such as the correlation between baseline data and the target outcome
THE-RCT’s MDE calculator [forthcoming] is a postsecondary-specific tool that is designed for individual randomized controlled trial evaluations (RCTs), which are frequently used to evaluate postsecondary interventions. The tool is especially useful for outcomes such as enrollment, credits earned, and degree completion. It includes the following features:
- built-in design parameters based on data from past randomized controlled trials of postsecondary interventions
- built-in benchmarks comparing a user’s MDE with effects that were found in past postsecondary studies (mostly at community colleges), which helps assess whether the MDE is realistically achievable
PowerUp! is a transparent, easy-to-use tool that is available in Excel and R and is suitable for a broad range of study designs. The creators also provide related resources.[2]
The Causal Evaluation website contains links to MDE tools for various study designs and parameters (for example, moderation, mediators) and a detailed reference list.[3] The Abdul Latif Jameel Poverty Action Lab (J-PAL) website offers many useful guides and tools for those interested in learning more about power analyses and MDE calculations.[4]
[1] Howard S. Bloom, “Minimum Detectable Effects: A Simple Way to Report the Statistical Power of Experimental Designs,” Evaluation Review 19, 5 (1995): 547–556, website: https://bpb-us-e2.wpmucdn.com/sites.uci.edu/dist/1/1159/files/2021/03/Bloom-MDES-Eval-Rev-1995-Bloom.pdf.
[2] Causal Evaluation, “Designing and Analyzing Multilevel Experiments and Quasi-Experiments for Causal Evaluation” (website: https://www.causalevaluation.org/power-analysis.html, 2024).
[3] Causal Evaluation (2024).
[4] Mary-Alice Doyle and Laura Feeney, “Quick Guide to Power Calculations” (website: https://www.povertyactionlab.org/resource/quick-guide-power-calculations, 2021); Sabhya Gupta and Sarah Kopper, “Power Calculations” (website: https://www.povertyactionlab.org/resource/power-calculations, 2021).
[5] Marie-Andrée Somers, Michael J. Weiss, and Colin Hill, “Design Parameters for Planning the Sample Size of Individual-Level Randomized Controlled Trials in Community Colleges,” Education Review 47, 4 (2023): 599–692, website: https://www.mdrc.org/sites/default/files/design_parameters.pdf.
[6] Nianbo Dong and Rebecca Maynard, “PowerUp!: A Tool for Calculating Minimum Detectable Effect Sizes and Minimum Required Sample Sizes for Experimental and Quasi-Experimental Design Studies,” Journal of Research on Educational Effectiveness 6,1 (2013): 24–67, website: https://www.ipr.northwestern.edu/documents/required-reading/2018/dong--maynard-2013.pdf.
Key Resources
Tool
THE-RCT’s MDE Calculator (forthcoming)
Postsecondary-specific MDE calculator for RCTs with random assignment of individuals
Journal Article
Design Parameters for Postsecondary RCTs
Explains the models and design parameters behind THE-RCT’s MDE Calculator[5]
Tool
PowerUp! Excel Workbook
MDE calculator useful for a broad range of study designs
Journal Article
PowerUp!
Details on the designs, models, and formulas used in the PowerUp! workbook[6]