an:07261716
Zbl 1452.94057
Lone, Mushtaq Ahmad; Mir, Shakeel Ahmad; Khan, Imran
Allocation problem in the presence of non-response: a mathematical programming approach
EN
Int. J. Math. Oper. Res. 12, No. 3, 413-421 (2018).
00454150
2018
j
94A50 90C30 90C57
stratified random sampling; optimum allocation; randomised response technique; RRT; non-response; branch and bound method; nonlinear programming problem; NLPP
Summary: Survey non-response refers to the failure to get a useable response from the respondent selected for the sample. Non-response may occur due to several reasons. The randomised response technique (RRT) presented by \textit{S. L. Warner} [J. Am. Stat. Assoc. 60, 63--69 (1965; Zbl 1298.62024)] used to estimate proportion of respondents to the sensitive questions without revealing his choice to the interviewer. In this article, the problem of optimal allocation in stratified sampling where RRT is used in presence of non-response, is formulated as an nonlinear programming problem (NLPP). The formulated problem is solved using branch and bound method and the results are obtained through LINGO.
Zbl 1298.62024