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Randomized response and new thoughts on Politz-Simmons technique. (English) Zbl 1366.62040
Chaudhuri, Arijit (ed.) et al., Data gathering, analysis and protection of privacy through randomized response techniques: qualitative and quantitative human traits. Amsterdam: Elsevier/North Holland (ISBN 978-0-444-63570-9/hbk; 978-0-444-63571-6/ebook). Handbook of Statistics 34, 233-251 (2016).
Summary: An important source of nonsampling errors in sample surveys is “Not-at-Home’s” for which A. Politz and W. Simmons [“Note on ‘An attempt to get the not-at-homes into the sample without callbacks”’, J. Am. Stat. Assoc. 45, No. 249, 136–137 (1950; doi:10.2307/2280436)] technique [PST] is used to estimate parameters using data on first call itself, thus avoiding “call-backs”, by asking respondents during the interview a question about their availability at home (or, otherwise) at the same time during the preceding five “week nights.” In the present day context of ever-changing socioeconomic scenario of the society, it is to be noted that this question itself has become highly sensitive for the respondents who thereby may evade to answer this question truthfully. We have applied S. Warner’s [J. Am. Stat. Assoc. 60, No. 309, 63–69 (1965; Zbl 1298.62024)] randomized response technique (RRT) in this situation and developed a nontrivial randomized response PST.
For the entire collection see [Zbl 1349.62001].
MSC:
62F10 Point estimation
62D05 Sampling theory, sample surveys
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