According to Patil, P et al. (2016) state that "everyone agrees that scientific studies should be reproducible and replicable. The problem is almost no one agrees upon what those terms mean. A major initiative in psychology used the term reproducibility'' to refer to completely re­doing experiments including data collection (1). In cancer biologyreproducibility'' has been used to refer to the re calculation of results using a fixed set of data and code." (pag. 1)

A possible approach to statistical reproducibility is to re-do experiments over and over again gathering all the data available to get the findings, but emphasising in the analysis with transparency in the information to have accurate conclusions.

References

Prasad Patil, Roger D. Peng, Jeffrey T. Leek. (2016). A statistical definition for reproducibility and replicability. see on https://www.biorxiv.org/content/10.1101/066803v1.full.pdf