Understand the idea
Under the National Academies' definitions, computational reproducibility uses the same data and analysis, while replicability asks whether new studies with new data obtain consistent results. A failure can reveal mistakes, contextual differences, or a fragile finding; it does not automatically prove fraud. [S05] A p-value is conditional on a statistical model and is not the probability that a hypothesis is true. Evidence appraisal also needs study design, effect size, uncertainty, and the broader body of research. [S06]
Worked example
A fictional learning intervention improves a test by two points in a large study. A second study estimates one point with considerable uncertainty. Ask whether this is a direct contradiction, what a two-point effect means educationally, and whether a reproducible spreadsheet would settle the intervention's real-world value.
Where the idea stops
Fields use these terms differently. Neither one successful replication nor an arbitrary significance cutoff establishes practical importance or universality. [S05, S06]
Connect it
Psychology: what a robust learning claim should require.
Go deeper
Can an effect be statistically detectable but practically unimportant?