[Update: More schools announced closings and the state said the Port Authority chief tested positive.]

Gov. Andrew M. Cuomo criticized the federal government on Sunday for delays in allowing private laboratories in New York State to test for the coronavirus.

At a news conference, Mr. Cuomo also announced 16 new confirmed cases of the virus, bringing the total number in New York State to 106. But he said that the state would not know the full extent of the spread until it could do more testing.

“I would get nervous if the number didn’t go up,” he said. He added: “The more tests we run, the better.” In his most pointed criticism to date, Mr. Cuomo said the Centers for Disease Control and Prevention has been slow in responding to the epidemic and then too slow in allowing states to do more testing.

His criticism came as Scarsdale, a New York City suburb in Westchester County, announced that it would close schools from Monday through March 18 after a faculty member at the district’s middle school tested positive for the virus.