Optimum stratification for allocation proportional to strata totals for scrambled response

Article type: Research Article

Authors: Mahajan, P.K.^{; *} | Sharma, P. | Gupta, R.K.

Affiliations: University of Horticulture and Forestry, Solan 173 230, India

Correspondence: [*] Corresponding author. [email protected]

Abstract: The paper considers the problem of finding optimum strata boundaries to optimize the estimation of sensitive/stigmatized characters when sample sizes from different strata are allocated proportionally to strata totals of the auxiliary variable. Assuming the form of the regression of the estimation variable y on the auxiliary variable x as y=η(x)+e and the form of the conditional variance V(y∣x), the rule for finding approximate optimum strata boundaries is proposed. The limiting expression of the variance of the estimator of mean in optimum stratification has also been obtained.

Keywords: Sensitive variable, randomized response technique, construction of strata, optimum strata boundaries, limiting variance

DOI: 10.3233/MAS-2007-2203

Journal: Model Assisted Statistics and Applications, vol. 2, no. 2, pp. 81-88, 2007