Optional randomized response in stratified unequal probability sampling—A simulation based numerical study with Kuk’s method

Autores: Amitava Saha
Localización: Test: An Official Journal of the Spanish Society of Statistics and Operations Research, ISSN-e 1863-8260, ISSN 1133-0686, Vol. 16, Nº. 2, 2007, págs. 346-354
Idioma: inglés
DOI: 10.1007/s11749-006-0013-y
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Resumen
- Warner’s pioneering randomized response (RR) device, as a method for reducing evasive answer bias while estimating the proportion of people in a community bearing a sensitive attribute, has been studied extensively over the last four decades. In many practical surveys it was observed that a character considered to be stigmatizing by a group of respondents did not appear to be such to another group, and direct responses (DR’s) to divulge its true characteristics were offered. Chaudhuri and Mukerjee (Calcutta Stat Assoc Bull 34:225–229, 1985; Randomized response: theory and techniques. Dekker, New York, 1988) introduced the concept of optional RR (ORR) to accommodate direct responses offered by such respondents. Since unequal probability stratified sampling is followed in large-scale socio-economic surveys, it is necessary to develop RR procedures for such complex surveys. Kuk’s method is extended to varying probability stratified sampling when RR’s as well as DR’s are permitted. A numerical study comparing the performance of alternative procedures is also reported.