Are private schools better than public schools? New book says ‘no’

http://www.washingtonpost.com/blogs/answer-sheet/wp/2013/11/05/are-private-schools-better-than-public-schools-new-book-says-no/

"When adjusted for demographics" is an important detail in this book, which claims that public schools outperform private schools. I'd like to read it to better understand the methodology used and the details the authors provide (I've read stuff from both Lubienskis) but part of me also realizes that as a strong advocate of public schools I don't mind the self-affirmation.