ANOVA-like analysis of matched series of studies with a common structure |
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Authors: | Manuela M Oliveira João Mexia |
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Institution: | 1. Department of Mathematics, University of Èvora, Colégio Luis António Verney, Rua Romão Ramalho 59, 7002 Èvora, Portugal;2. Department of Mathematics, FCT Nova University of Lisbon, Quinta da Torre, 2825 Monte da Caparica, Portugal |
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Abstract: | It is shown how to condense the information contained in a series of studies, each constituted by an objects by variables matrix and a pair of weight matrices, into a structure vector and a sum of sums of squares of residuals. Based on this condensation we propose to carry out ANOVA-like inference for matched series of studies associated with the level combinations of some factors. It is shown how to validate the assumptions underlying the inference. An application to the results of local elections in Portugal is given. |
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Keywords: | ANOVA F tests" target="_blank">gif" overflow="scroll">F tests Hilbert&ndash Schmidt product STATIS method |
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