Model validation: Difference between revisions

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== Badly posed problems ==
== Badly posed problems ==


A so-called 'badly posed problem' is a problem such that many model parameter choices map to the same measurement outcome (within measurement error), i.e., the model is a [[:Wikipedia:Projection_(mathematics)|projection]]. Thus, no analysis of the available measurements can reveal the 'true' value of the model parameters, even if the model is in itself correct. See
A so-called 'badly posed problem' is a problem such that many model parameter choices map to the same measurement outcome (within measurement error), i.e., the model is a [[:Wikipedia:Projection_(mathematics)|projection]]. Thus, no analysis of the available measurements can reveal the 'true' value of all model parameters, even if the model is in itself correct.  
It may only be possible to determine the value of some parameters (with their corresponding error), while some others are largely or completely undetermined.
See
* [[Function parametrization]]
* [[Function parametrization]]
* [[Bayesian data analysis]]
* [[Bayesian data analysis]]