Replicable refers to the ability to produce exactly the same results as published. Other people get exactly the same results when doing exactly the same thing. Technical: cf. validation and verification
Reproducible refers to the ability to create a workflow that independently upholds the published results using the information provided. Checking the results from the fixed digital form of data and code from the original study. Something similar happens in other people's hands. Substantive: possibly by a new implementation
“The goal of reproducible research is to tie specific instructions to data analysis and experimental data so that scholarship can be recreated, better understood and verified.” - Max Kuhn, CRAN Task View: Reproducible Research
Gavish & Gonoho AAAS 2011, Oxberry 2013
“An article about computational result is advertising, not scholarship. The actual scholarship is the full software environment, code and data, that produced the result.” - Claerbout and Karrenbach, Proceedings of the 62nd Annual International Meeting of the Society of Exploration Geophysics. 1992
“When we publish articles containing figures which were generated by computer, we also publish the complete software environment which generates the figures” - Buckheit & Donoho, Wavelab and Reproducible Research, 1995.
Cultural & personal
Peng 2011, Science 334(6060) pp. 1226-1227