http://www.montessori-science.org/montessori_science_journal... (click "see article full text")
An excerpt:
On several dimensions, children at a public inner city Montessori school
had superior outcomes relative to a sample of Montessori applicants who,
because of a random lottery, attended other schools. By the end of
kindergarten, the Montessori children performed better on standardized
tests of reading and math, engaged in more positive interaction on
the playground, and showed more advanced social cognition and
executive control.
TL;DR: Montessori kids turn out better on many measures when controlling for "bright parents".