RESPONSE TECHNIQUES TO ANALYSE VARIOUS TRANSFORMATIONS AND SELECTION PROBABILITIES

by Jack Allen(Mohammad Khoshnevisan) and Sarjinder Singh .

Abstract: 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.

Key Words: multi-character surveys; poorly correlated variables; estimation of total; auxiliary information, sensitive characters

Authors:
Mohammad Khoshnevisan( Jack Allen), m.khoshnevisan@mailbox.gu.edu.au
S.Singh, ssingh@math.carleton.ca

Editor: Somesh Kumar , smsh@maths.iitkgp.ernet.in

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