title: The multidimensional randomized response design: Estimating different aspects of the same sensitive behavior.
abstract: The conventional randomized response design is unidimensional in the sense that it measures a single dimension of a sensitive attribute, like its prevalence, frequency, magnitude, or duration. This paper introduces a multidimensional design characterized by categorical questions that each measure a different aspect of the same sensitive attribute. The benefits of the multidimensional design are (i) a substantial gain in power and efficiency, and the potential to (ii) evaluate the goodness-of-fit of the model, and (iii) test hypotheses about evasive response biases in case of a misfit. The method is illustrated for a two-dimensional design measuring both the prevalence and the magnitude of social security fraud.
authors: Department of Methodology & Statistics, Utrecht University, Padualaan 14, 3584, CH Utrecht, The Netherlands. m.cruyff@uu.nl.
authors: Maarten J L F
authors: MJ
authors: Cruyff
authors: Kellogg School of Management, Northwestern University, Evanston, IL, USA.
authors: Ulf
authors: U
authors: Böckenholt
authors: Department of Methodology & Statistics, Utrecht University, Padualaan 14, 3584, CH Utrecht, The Netherlands.|S3RI, University of Southampton, Southampton, Great Britain.
authors: Peter G M
authors: PG
authors: van der Heijden
mesh_terms: D003219:Confidentiality; D008192:Deception; D006801:Humans; D013223:Statistics as Topic; D011795:Surveys and Questionnaires
keywords: Efficiency; Power; Randomized response; Response bias