Inference on the marginal distribution of clustered data with informative cluster size

Jaakko Nevalainen (), Somnath Datta and Hannu Oja

Statistical Papers, 2014, vol. 55, issue 1, 92 pages

Abstract: In spite of recent contributions to the literature, informative cluster size settings are not well known and understood. In this paper, we give a formal definition of the problem and describe it from different viewpoints. Data generating mechanisms, parametric and nonparametric models are considered in light of examples. Our emphasis is on nonparametric and robust approaches to the inference on the marginal distribution. Descriptive statistics and parameters of interest are defined as functionals and they are accompanied with a generally applicable testing procedure. The theory is illustrated with an example on patients with incomplete spinal cord injuries. Copyright Springer-Verlag Berlin Heidelberg 2014

Keywords: Clustered data; Informative cluster size; Marginal inference; Nonparametric models; Robustness; MSC 62G05; 62G08; 62G09; 62G10; 62G35; 62G86; 62P10 (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s00362-013-0504-3

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