Title: Allocation problem in the presence of non-response: a mathematical programming approach

Authors: Mushtaq Ahmad Lone; Shakeel Ahmad Mir; Imran Khan

Addresses: Division of Agricultural Statistics, SKUAST-Kashmir, Shalimar, Srinagar, Jammu and Kashmir, 190025, India ' Division of Agricultural Statistics, SKUAST-Kashmir, Shalimar, Srinagar, Jammu and Kashmir, 190025, India ' Division of Agricultural Statistics, SKUAST-Kashmir, Shalimar, Srinagar, Jammu and Kashmir, 190025, India

Abstract: 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 Warner (1965) 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.

Keywords: stratified random sampling; optimum allocation; randomised response technique; RRT; non-response; branch and bound method; nonlinear programming problem; NLPP.

DOI: 10.1504/IJMOR.2018.090814

International Journal of Mathematics in Operational Research, 2018 Vol.12 No.3, pp.413 - 421

Received: 25 Feb 2016
Accepted: 29 Oct 2016
Published online: 28 Mar 2018 *

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