hep-ph/9506427 Limits on Non-Commuting Extended Technicolor Author: R.S. Chivukula, E.H. Simmons, J. Terning Comments: figures on hep-ph replaced with working versions! 20 pages, latex, 3 figures, figures also available at _this http URL_ Report-no: BUHEP-95-19 Journal-ref: Phys. Rev. D53 (1996) 5258 Using precision electroweak data, we put limits on non-commuting extended technicolor models. We conclude that these models are viable only if the ETC interactions are strong. Interestingly, these models predict a pattern of deviations from the standard model which can fit the data significantly better than the standard model does, even after taking into account the extra parameters involved.