Landry Shamet scored 18 points in just 22 minutes to lead the Shockers - "Easily the best player we've faced this season," Sampson said - but Wichita State had four players in double figures before halftime.
"Either team could have won that game," Houston coach Kelvin Sampson said. "It came down to making a shot here or there. We had some wide-open looks from three, but we missed them in the last five minutes. I'm not talking about the one that was blocked. I'm talking about the ones that were open."