Clarkson University plans to transfer 16 graduate-level teaching programs to Siena College, pending approval by the New York State Education Department, the two private nonprofit institutions announced this week. Officials said they expect the move to be completed in June.  About 100 students are currently enrolled in the affected master’s and certificate programs, officials said. Eight full-time faculty and staff members from Clarkson will move to Siena as well. Tuition will remain the same for currently enrolled students, but Siena might change prices for new cohorts once the transfer is complete, said Margaret Madden, the college’s provost. No money changed hands between the two colleges in the deal.