I would really appreciate if anyone can provide references to papers in which Bourdieu's types of capital (e.g. social and/or cultural, etc.) have been operationalized in quantitative terms.
Hi Andres! Unfortunately I only have Swedish examples, but I attended at an International conference "Thirty Years After "Distinction", November 4, 2010 – November 6, 2010, Institut national d’histoire de l’art INHA, Paris where a lot of interesting presentation were done. I have attached a slideshow of some results reported from Bennet et al and an interesting discussion about omnivoreouness. Maybe you already know thier publication; Bennett, T., Savage, M., Silva, E. B., Warde, A., Gayo-Cal, M. and Wright, D. (2009) Culture, Class, Distinction. London: Routledge. Good luck!
I discuss and give an example of operationalizations of Bourdieu's theories, with regard to quantitative educational studies, in the chapter "Teacher Education, Statistical Methodologies and the Construction of Knowledge", pp. 212-228, in the book "Pierre Bourdieu", published 2000 by Sage, with Derek Robbins as the editor.
In short, it is not so much about testing hypotheses in the traditional, statistical (inference) way. You know, regression analysis. Rather, permutations and simultaneously mapping relations among a large set of variables.