He was a professor of cognitive psychology at the University of Tulsa from 1984 through 2009, where he established the Nonconscious Information Processing Laboratory, funded by NSF and NIH.

After leaving the university in 2009,[1] he assumed the full-time role of CEO of StatSoft,[2] a multinational analytics software company that he founded and where he was a majority shareholder.

[3] In a recent interview,[1] Lewicki emphasized that StatSoft’s corporate culture remains focused on long-term research and altruism rather than profits: "Our mission is to create value and to make the world a better place, and analytics contribute directly to that.

[12] Lewicki has communicated to EPRI that because of the relevance of this work for environmentally sustainable power generation, this technology will be released to the public domain as soon as the proper regulatory infrastructure is established by the EPA and DOE.

[14] After the sale of StatSoft to Dell in 2014, Lewicki focused on applications of Artificial Intelligence in Medicine, that has been traditionally slower in adopting big data learning and data mining, and he co-founded Holo Surgical Inc., a company that developed technology based on Artificial Intelligence and Augmented Reality to provide surgeons and later robots with synthetic vision.

Kardiolytics uses non-invasive, AI-based analysis of inexpensive and widely available CT-scans to produce in depth heart diagnostics, with the goal of providing these methods remotely to a large percentage of the world population that currently have no access to advanced medical procedures.