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Moreover, the underlying values for the total population were three years old (census data from 2004) and hence might be not precise.
Two multivariate hierarchical Bayesian models are advocated, one which assumes that the underlying values for subjects remain static (exchangeable replicates) and one which assumes that the underlying values can change between repeated measurements (non-exchangeable replicates).
Note that the number of repeated measurements can vary by method and subject, and measurements for the M methods need not be made simultaneously as the underlying values for subjects are assumed to remain static over all replications.
In an effort to circumvent this problem, Bland and Altman in 1999 presented analytical techniques similar to their limits of agreement approach to quantify the repeatability of a method where the underlying values for subjects remain static over replications (where values can be considered as being exchangeable) using one-way analysis of variance methods and variance component techniques [ 6].
Indeed, results will be, in part, a consequence of the chosen resolution of the data because of the "modifiable areal unit problem" (Openshaw 1984), where changes in spatial aggregation or arrangement of areas can affect the underlying values for those areas, so observations are usually only relevant for the scale of analysis.
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In order to estimate the underlying value for C i *, we use a modified version of the ordered probit model in order to break ties when C i is a vector value.
Fuzzy control arrives at a more precise and useful underlying value for a controller's input from such feedback by allowing the descriptions to fall into fuzzy sets that can handle increasing degrees of membership rather than simple dichotomous classifications.
ii) The actual statistical tests rely on surrogates for underlying values of interest.
Bono, whose real name is Paul David Hewson, argued that the Republican presidential nominee threatens America's underlying values of justice and equality for all.
But it rejected as inadequate Mr. Icahn's offer to pay $1.3 billion for a 31percentt stake in Nabisco Group, which manufactures Ritz crackers and Oreo cookies, saying it "does not come close to reflecting the underlying value of the company's business".
Finally, transparency about underlying values is called for, as this study confirmed some widely perceived differences in professional backgrounds of experts and the impact of these differences on their perception of animal welfare.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com