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Table 5 The percentage of respondents potentially required to answer in a revealing way as the function of model design and prevalence rate of the sensitive question

From: New non-randomised model to assess the prevalence of discriminating behaviour: a pilot study on mephedrone

Design Innocuous Sensitivea
   5% 10% 15% 20% 30% 40% 50%
1 + 1 50.00 2.50 5.00 7.50 10.00 15.00 20.00 25.00
2 + 1 25.00 1.25 2.50 3.75 5.00 7.50 10.00 12.50
3 + 1 12.50 0.62 1.25 1.87 2.50 3.75 5.00 6.25
4 + 1 6.25 0.31 0.62 0.94 1.25 1.87 2.50 3.12
5 + 1 3.12 0.16 0.31 0.48 0.62 0.94 1.25 1.56
6 + 1 1.56 0.08 0.16 0.23 0.31 0.47 0.62 0.78
7 + 1 0.78 0.04 0.08 0.12 0.16 0.23 0.31 0.39
8 + 1 0.39 0.02 0.04 0.06 0.08 0.12 0.16 0.19
  1. a for illustration we assume that the compromising behaviour is proportionally distributed