This data set contains observations from a randomized response survey conducted in a university to investigate bullying. The sample is drawn by simple random sampling without replacement. The randomized response technique used is the Horvitz model (Horvitz et al., 1967 and Greenberg et al., 1969) with parameter \(p=0.5\). The unrelated question is: Were you born between the 1st and 20th of the month? with \(\alpha=0.6666667\).
data(HorvitzData)A data frame containing a sample of 411 observations from a population of \(N=10777\) students. The variables are:
ID: Survey ID of student respondent
z: The randomized response to the question: Have you been bullied?
Pi: first-order inclusion probabilities
Greenberg, B.G., Abul-Ela, A.L., Simmons, W.R., Horvitz, D.G. (1969). The unrelated question RR model: Theoretical framework. Journal of the American Statistical Association, 64, 520-539.
Horvitz, D.G., Shah, B.V., Simmons, W.R. (1967). The unrelated question RR model. Proceedings of the Social Statistics Section of the American Statistical Association. 65-72. Alexandria, VA: ASA.
# NOT RUN {
data(HorvitzData)
# }
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