A Generalized Regression Estimation of the Item Sum Technique in Sensitive Surveys

  • T. O. Alakija Department of Statistics, Yaba College of Technology, Yaba, Lagos, Nigeria.
  • I. A. Adeleke Department of Actuarial Sciences, University of Lagos, Lagos, Nigeria.
  • K. S Adekeye Department of Mathematics, University of Lagos, Lagos, Nigeria.
  • M. O. Adamu Department of Mathematics, Faculty of Science, University of Lagos, Lagos, Nigeria.
Keywords: Calibration estimator, Indirect questioning method, Item Count Technique, Sensitive questions, small sample.

Abstract

Survey researchers often find it difficult to collect reliable data of human populations, yet the validity of any research depends mainly on the accuracy of self-reported behavior especially when the respondents are to reflect about sensitive issues or highly personal matter. It is therefore important to develop methods of improving interviewees responses in any survey. The Item Sum Technique (IST) is the most recent indirect questioning method and it is a variant of the Item Count Technique (ICT) which can be used only for qualitative responses. The aim of this study is to estimate the sensitive characteristic when using the IST especially if two or more sensitive questions are investigated. It also focuses on the theoretical framework which includes the introduction of a classical method called the Generalized Regression model (GREG) using the IST. The efficiency of the GREG method was ascertained in comparison to the Calibration estimator by an extensive simulation study. Results from the statistical analysis indicates that the GREG estimator competes well with the calibration method and can further be used for a small sample size or data that is not normally distributed.

References

Adeleke, I.A., Okafor, R.O., Esan, E.O. Horvitz-Thompson Theorem as a tool for Generalization of Probability Sampling Technique. Journal of Scientific research and development . 10, 125-134, (2007).

Adrian, H. and Jochen, M. Assessing the validity of two indirect questioning techniques: A Stochastic Lie Detector versus the Crosswise Model. Psychonomic Society, Inc. Behaviour Res , 48:1032–1046, (2015).

Akers, R.L., Massey, J., Clarke, W. and Lauer, R. M. Are self-reports of adolescent deviance valid? Biochemical measures, randomized-response, and the bogus pipeline in smoking-behaviour. Social Forces , 62, 234–251, (1983).

Arijit, C. and Tasos C. C. Indirect Questioning in Sample Surveys. Springer-Verlag Berlin Heidelberg. DOI 10.1007/978-3-642-36276-7 1, (2013).

Chaudhuri, A., and Mukerjee, R. Randomized response: Theory and techniques. Marcel Dekker Publication, New York, (1988).

Chaudhuri, A., and Christofides, T. C. Indirect questioning in sample surveys. Springer-Verlag, Berlin, Heidelberg, DE , (2013).

Guo-Liang T. and Man-Lai T. Incomplete Categorical Data Design. Non-Randomized Response Techniques for Sensitive Questions in Surveys. Chapman and Hall/CRC Statistics in the Social and Behavioral Sciences Series . New York, USA. (2014).

Holbrook, A. L. and Krosnick, J. A. Measuring voters turnout by using the randomized response technique: evidence calling into question, the method's validity. Public Opinion Quarterly, 74, 328–343. Doi:10.1093/Poq/Nfq012, (2010).

Horvitz, D. G. and Thompson, D. J. A generalization of sampling without replacement from a finite universe.

Journal of American Statistical Assoc. 47, 663–685, (1952).

Lensvelt-Mulders, G.J., Van der Heijden, P.G., Laudy, O. and Van Gils, G. Meta-analysis of randomized response research: thirty-five years of validation. Sociological Methods and Research , 33, 319–348. Doi:10.1177/0049124104268664, (2005).

Locander, W., Sudman, S. and Bradburn, N. An investigation of interview method, threat and response distortion. Journal of the American Statistical Association, 71, 269–275, (1976).

María del Mar, G.R., Pier, F.P. and Beatriz, R. C. Advances in estimation by the item sum technique using auxiliary information in complex surveys. Springer-Verlag Germany, part of Springer Nature , Doi.org/10.1007/s10182-017-0315-2, (2017).

Miller, J. D. A new survey technique for studying deviant behavior. PhD. thesis. The George Washington University, Washington, DC. (1984).

Sarjinder Singh. Randomized response techniques. Model Assisted Statistics and Applications. , 9, 1-2, (2014).

Pier, F.P., Maria del Mar, R.G., Beatriz, C.R. Multiple sensitive estimation and optimal sample size allocation in the item sum technique. Biometrical Journal , 1–19, (2017).

Sarndal, C.E., Swensson, B. and Wretman, J. Model Assisted Survey Sampling . Springer, New York. MR1140409. (1992).

Trappmann, M., Krumpal, I., Kirchner, A. and Jann, B. Item sum: a new technique for asking quantitative sensitive questions. J. Surv. Stat. Methodol. , 2, 58–77, (2014).

Vakilian, K., Mousavi, S.A., and Keramat, A. Estimation of sexual behaviour in the 18-to-24-years-old Iranian youth based on a crosswise model study. BMC Research Notes , 7 (28), 1–4, (2014).

Warner, S. L. Randomized response: A survey technique for eliminating evasive answer bias.

J. of Amer. Statistical Association. 60, 63-69, (1965).

Zawar, H. and Naila, S. On some new randomized item sum techniques. Communications in Statistics — Theory and Methods . 1–14, (2017).

Published
2019-08-14
How to Cite
Alakija , T. O., Adeleke , I. A., Adekeye , K. S., & Adamu , M. O. (2019). A Generalized Regression Estimation of the Item Sum Technique in Sensitive Surveys. International Journal of Mathematical Sciences and Optimization: Theory and Applications, 2019(1), 512 - 520. Retrieved from http://ijmso.unilag.edu.ng/article/view/470
Section
Articles