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== Integrated data analysis ==
== Integrated data analysis ==


Often, various different diagnostics provide information on the same physical parameter (e.g., in a typical fusion plasma experiment, the electron temperature ''T<sub>e</sub>'' is possibly measured by Thomson Scattering, ECE, and a HIBP, and indirectly also by SXR, although mixed with information on the electron density ''n<sub>e</sub>'' and ''Z<sub>eff</sub>''. The electron density is measured directly by Thomson Scattering, the HIBP, reflectometry, and interferometry, and indirectly by SXR).  
Often, various different diagnostics provide information on the same physical parameter (e.g., in a typical fusion plasma experiment, the electron temperature ''T<sub>e</sub>'' is possibly measured by Thomson Scattering, ECE, and indirectly also by SXR, although mixed with information on the electron density ''n<sub>e</sub>'' and ''Z<sub>eff</sub>''. The electron density is measured directly by Thomson Scattering, the HIBP, reflectometry, and interferometry, and indirectly by SXR).  
Part of this information is local, and part is line-integrated. Instead of cross-checking these diagnostics for one or a few discharges, one could decide to make an integrated analysis of data.  
Part of this information is local, and part is line-integrated. Instead of cross-checking these diagnostics for one or a few discharges, one could decide to make an integrated analysis of data.  
This means using all information available to make the best possible reconstruction of, e.g., the electron density and temperature that is compatible with all diagnostics simultaneously.  
This means using all information available to make the best possible reconstruction of, e.g., the electron density and temperature that is compatible with all diagnostics simultaneously.  
To do this, the following conditions must apply: 1) The data should not contradict each other mutually. This requires a previous study concerning the mutual compatibility, i.e. data validation. 2) The data should be available with proper calibration and independent error estimates in a routine fashion. This means regular calibrations of the measuring device and crosschecks. 3) A suitably detailed model of the physical system should be available, capable of modelling all experimental conditions and all corresponding measurement data. Techniques based on e.g. [[Bayesian data analysis|Bayesian statistics]] then allow finding the most probable value of all physical parameters in the model, compatible with all measured signals.  
To do this, the following conditions must apply: 1) The data should not contradict each other mutually. This requires a previous study concerning the mutual compatibility, i.e. data validation. 2) The data should be available with proper calibration and independent error estimates in a routine fashion. This means regular calibrations of the measuring device and crosschecks. 3) A suitably detailed model of the physical system should be available, capable of modelling all experimental conditions and all corresponding measurement data. Techniques based on e.g. [[Bayesian data analysis|Bayesian statistics]] then allow finding the most probable value of all physical parameters in the model, compatible with all measured signals.


== Summary ==  
== Summary ==  

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