Determining the fraction of reddened quasars in COSMOS with multiple selection techniques from X-ray to radio wavelengths

European Research Council under the European Union's Seventh Framework Program (FP7)/ERC Grant [EGGS-278202]; European Union [600207, DFF-MOBILEX-5051-00115]; Danish Council for Independent Research [DFF 4002-00275]; ESO programme [179.A-2005]; Alfred P. Sloan Foundation; National Science Foundation; US Department of Energy Office of Science; University of Arizona; Brazilian Participation Group; Brookhaven National Laboratory; Carnegie Mellon University; University of Florida; French Participation Group; German Participation Group; Harvard University; Instituto de Astrofisica de Canarias; Michigan State/Notre Dame/JINA Participation Group; Johns Hopkins University; Lawrence Berkeley National Laboratory; Max Planck Institute for Astrophysics; Max Planck Institute for Extraterrestrial Physics; New Mexico State University; New York University; Ohio State University; Pennsylvania State University; University of Portsmouth; Princeton University; Spanish Participation Group; University of Tokyo; University of Utah; Vanderbilt University; University of Virginia; University of Washington; Yale University