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Remedies for pseudoreplication
Authors:Russell B. Millar  Marti J. Anderson
Affiliation:

Department of Statistics, University of Auckland, Private Bag 92019, Auckland, New Zealand

Abstract:Pseudoreplication is the failure of a statistical analysis to properly incorporate the true structure of randomness present in the data. It has been well documented and studied in the ecological literature but has received little attention in the fisheries literature. Avoiding pseudoreplication in analyses of fisheries data can be difficult due to the complexity of the statistical procedures required. However, recent developments in statistical methodology are decreasing the extent to which pseudoreplication has to be tolerated. Seven examples are given here, beginning with simple design-based remedies and progressing to more challenging examples including the model-based remedies of mixed-effects modelling, generalized linear mixed models, state-space models, and geostatistics.
Keywords:Generalized linear mixed models   Geostatistics   Maximum likelihood   Mixed-effects   Nonparametric MANOVA   Overdispersion   Pseudoreplication   Random effects   Sequential population analysis   State-space models
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