Understanding Chao (Biometrika, 1982) [Paper on ΠPS Sampling Schemes]

Y Menon  Singh; G Sandweep  Sharma; Opendra  Salam; B K Sinha

doi:10.3329/ijss.v24i1.72032

Understanding Chao (Biometrika, 1982) [Paper on ΠPS Sampling Schemes]

Authors

Y Menon Singh Department of Statistics, Manipur University, India
G Sandweep Sharma Department of Statistics, Manipur University, India
Opendra Salam Department of Statistics, Manipur University, India
B K Sinha Retired Prof. ISI, Kolkata, India

DOI:

https://doi.org/10.3329/ijss.v24i1.72032

Keywords:

Inclusion probabilities, Πps sampling scheme, Chao’s Sampling scheme, fixed sized design, algorithm.

Abstract

Chao's (1982) sampling scheme offers a systematic approach to select samples based on probability proportional to size (PPS) sampling without replacement but it might be difficult to grasp, particularly for entry-level researchers. In response, this study revisits Chao's method with the aim of providing a simplified and more intuitive understanding. Drawing inspiration from efforts by Dr. Tommy Wright and subsequent group discussions with BKS, we present a step-by-step breakdown of Chao's scheme with illustrative examples, emphasizing its elegance and practicality. This study showcases the value of making complex statistical methods accessible for broader engagement in research and practice.

International Journal of Statistical Sciences, Vol.24(1), March, 2024, pp 133-154

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Published

2024-03-28

How to Cite

Singh, Y. M. ., Sharma, G. S. ., Salam, O. ., & Sinha, B. K. (2024). Understanding Chao (Biometrika, 1982) [Paper on ΠPS Sampling Schemes]. International Journal of Statistical Sciences, 24(1), 133–154. https://doi.org/10.3329/ijss.v24i1.72032