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- W2066177445 abstract "Abstract The problem of comparing, contrasting and combining information from different sets of data is an enduring one in many practical applications of statistics. A specific problem of combining information from different sources arose in integrating information from three different sets of data generated by three different sampling campaigns at the input stage as well as at the output stage of a grey-water treatment process. For each stage, a common process trend function needs to be estimated to describe the input and output material process behaviours. Once the common input and output process models are established, it is required to estimate the efficiency of the grey-water treatment method. A synthesized tool for modelling different sets of process data is created by assembling and organizing a number of existing techniques: (i) a mixed model of fixed and random effects, extended to allow for a nonlinear fixed effect, (ii) variogram modelling, a geostatistical technique, (iii) a weighted least squares regression embedded in an iterative maximum-likelihood technique to handle linear/nonlinear fixed and random effects and (iv) a formulation of a transfer-function model for the input and output processes together with a corresponding nonlinear maximum-likelihood method for estimation of a transfer function. The synthesized tool is demonstrated, in a new case study, to contrast and combine information from connected process models and to determine the change in one quality characteristic, namely pH, of the input and output materials of a grey-water filtering process. Keywords: nonlinear mixed model theoryvariogram modellingtransfer-function estimationmonitoring grey-water quality before and after treatment Acknowledgements The author is grateful to Dr Simon Toze of CSIRO Land and Water for permitting to use the pH data generated by his project team and also to Dr Geoff Laslett of CSIRO Mathematical and Information Sciences for critical and insightful comments on an earlier version of the paper. The structure and presentation of the paper were also much improved by critical and constructive comments of the two referees and the editor." @default.
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- W2066177445 date "2012-08-01" @default.
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- W2066177445 title "Modelling of connected processes" @default.
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- W2066177445 doi "https://doi.org/10.1080/02664763.2012.663345" @default.
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