One of the pathways by which the scientific community confirms the validity of a new scientific discovery is by repeating the research that produced it.
Definitions
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What is reproducibility?
Reproducibility refers to the ability of a researcher to duplicate the results of a prior study using the same materials and procedures as were used by the original investigator. So in an attempt to reproduce a published statistical analysis, a second researcher might use the same raw data to build the same analysis files and implement the same statistical analysis to determine whether they yield the same results.
Social, Behavioral, and Economic Sciences Perspectives on Robust and Reliable Science (PDF): Report of the Subcommittee on Replicability in Science Advisory Committee to the National Science Foundation Directorate for Social, Behavioral, and Economic Sciences
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What is Replicability?
Replicability refers to the ability of a researcher to duplicate the results of a prior study if the same procedures are followed but new data are collected. That is, a failure to replicate a scientific finding is commonly thought to occur when one study documents relations between two or more variables and a subsequent attempt to implement the same operations fails to yield the same relations with the new data.
Social, Behavioral, and Economic Sciences Perspectives on Robust and Reliable Science (PDF): Report of the Subcommittee on Replicability in Science Advisory Committee to the National Science Foundation Directorate for Social, Behavioral, and Economic Sciences