“Nonpublic, nonsectarian school” means a private, nonsectarian school that enrolls individuals with exceptional needs pursuant to an individualized education program and is certified by the department. It does not include an organization or agency that operates as a public agency or offers public service, including, but not limited to, a state or local agency, an affiliate of a state or local agency, including a private, nonprofit corporation established or operated by a state or local agency, or a public university or college. A nonpublic, nonsectarian school also shall meet standards as prescribed by the Superintendent and board.