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Analysis of variance with general errors and grouped and non-grouped data: Some iterative algorithms

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Anido, Carmen and Rivero, Carlos and Valdés Sánchez, Teófilo (2008) Analysis of variance with general errors and grouped and non-grouped data: Some iterative algorithms. Journal of multivariate analysis, 99 (8). pp. 1544-1573. ISSN 0047-259X

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Official URL: http://www.sciencedirect.com/science/article/pii/S0047259X08000146


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Abstract

In this paper we consider some iterative estimation algorithms, which are valid to analyse the variance of data, which may be either non-grouped or grouped with different classification intervals. This situation appears, for instance, when data is collected from different sources and the grouping intervals differ from one source to another. The analysis of variance is carried out by means of general linear models, whose error terms may be general. An initial procedure in the line of the EM, although it does not necessarily agree with it, opens the paper and gives rise to a simplified version where we avoid the double iteration, which implicitly appears in the EM and, also, in the initial procedure mentioned above. The asymptotic stochastic properties of the resulting estimates have been investigated in depth and used to test ANOVA hypothesis


Item Type:Article
Uncontrolled Keywords:iterative estimation; stochastic approximation; ANOVA with grouped or censored data; conditional imputation techniques; consistency; asymptotic distributions
Subjects:Sciences > Mathematics > Mathematical statistics
ID Code:20194
Deposited On:01 Mar 2013 11:54
Last Modified:09 Aug 2018 08:32

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