Application of partially balanced incomplete block design in pps sampling

Article type: Research Article

Authors: Sharma, M.K.^{; *} | Fanta, Sileshi

Affiliations: Department of Statistics, Addis Ababa University, Addis Ababa, Ethiopia

Correspondence: [*] Corresponding author. M.K. Sharma, E-mail: [email protected].

Abstract: A selection procedure for selecting an inclusion probability proportional to sample of size (2 ⩽ n < N) is proposed. The simplicity in sample selection and in computing inclusion probability for a pair of units in the sample is achieved by using combinatorial properties of partially balanced incomplete block design. A procedure has been illustrated by an example and also comparison of Horvitz-Thompson and Sen-Yates-Grundy estimators has been discussed.

Keywords: Partially balanced incomplete block design, Probability proportional to size sampling, Balanced incomplete block design

DOI: 10.3233/MAS-2011-0174

Journal: Model Assisted Statistics and Applications, vol. 6, no. 1, pp. 63-69, 2011