RESPONSE TECHNIQUES TO ANALYSE VARIOUS TRANSFORMATIONS
AND SELECTION PROBABILITIES
by Jack Allen(Mohammad Khoshnevisan) and Sarjinder Singh
In the present study, alternative estimators for estimating population totals in multi-character
survey sampling using randomised response technique have been suggested, when
certain variables have poor positive correlation and others have poor negative correlation with selection probabilities. The estimators proposed by Hansen and Hurwitz (1943), Rao (1966)and Sahoo et al. (1994) under scrambled responses are shown as special cases of the
proposed estimators. An analysis has been conducted and fine-tuned in order to find the best
transformation on the selection probabilities in multi-character surveys, when the scrambled
responses are collected on sensitive variables. The bias and relative efficiency of the proposed estimators with respect to one another have been investigated and computed.
multi-character surveys; poorly correlated variables; estimation of total; auxiliary
information, sensitive characters
Mohammad Khoshnevisan( Jack Allen),
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