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Randomized Response and the Binary Probit Model



The paper analyzes eects of randomized response with respect to some binary dependent variable on the estimation of the probit model. This approach is used in interviews when asking sensitive questions. Alternatively randomization can be considered as a means of statistical disclosure control which has been termed post randomization method (PRAM). The paper shows that all properties concerning parameter estimation are maintained although there is a loss in (asymptotic) eciency.

Suggested Citation

  • Gerd Ronning, 2003. "Randomized Response and the Binary Probit Model," IAW Discussion Papers 10, Institut für Angewandte Wirtschaftsforschung (IAW).
  • Handle: RePEc:iaw:iawdip:10

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    References listed on IDEAS

    1. Lenk, Thomas & Rudolph, Hans-Joachim, 2003. "Die kommunalen Finanzausgleichssysteme in der Bundesrepublik Deutschland: Die Bestimmung der Finanzausgleichsmasse - vertikale Verteilungsprobleme zwischen Land und Kommunen," Arbeitspapiere des Lehrstuhls Finanzwissenschaft 24, University of Leipzig, Institute of Public Finance and Public Management.
    2. Krumm, Raimund, 2003. "Die Baulandausweisungsumlage als flächenpolitisches Steuerinstrument," Wirtschaftsdienst – Zeitschrift für Wirtschaftspolitik (1949 - 2007), ZBW – German National Library of Economics / Leibniz Information Centre for Economics, vol. 83(6), pages 409-416.
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    More about this item


    Asymptotic Eciency Maximum Likelihood; Post Randomisation; Statistical Disclosure.;

    JEL classification:

    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models
    • C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions; Probabilities
    • C42 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Survey Methods
    • C81 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Methodology for Collecting, Estimating, and Organizing Microeconomic Data; Data Access


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