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Biometrika 1999 86(4):923-928; doi:10.1093/biomet/86.4.923
© 1999 by Biometrika Trust
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Miscellanea. Influence diagnostic in survey sampling: conditional bias

JL Moreno-RebolloA1, A Muñoz-ReyesA2 and J Muñoz-PichardoA3

Departamento de Estadistica e Investigación Operativa, Facultad de Matemáticas, Universidad de Sevilla, c. Tarfia s.n. 41012 Sevilla, Spain A1 E-mail: morena@cica.es A2 E-mail: anamun@cica.es A3 E-mail: pichardo@cica.es

We propose a diagnostic to assess the influence of a unit ui in the sample s, selected from a finite population U={u1,....,uN} using a sampling design D, on (s) as an estimator of a population parameter {theta}={theta}(Y1,...,YN). We adjust the definition of conditional bias (Muñoz-Picardo et al., 1995), in order to obtain an influence diagnostic in survey sampling. Conditional bias as an influence measure of unit ui (uis) on (s), depends on Yi and on the sampling design, D. This is a distinctive feature of sample surveys. Only in particular cases is the proposed influence measure a case-deletion diagnostic.

Key Words: conditional bias; influential observation; survey sampling


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