Videotaped remarks shed light on Sotomayor

"Judge Sonia Sotomayor once described herself as 'a product of affirmative action' who was admitted to two Ivy League schools despite scoring lower on standardized tests than many classmates"

"If we had gone through the traditional numbers route of those institutions, it would have been highly questionable if I would have been accepted," she said on a panel of three female judges from New York who were discussing women in the judiciary.