Predictions: Also an astronomical tool

Statistics

Scientific paper

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Astronomical Models, Curve Fitting, Regression Analysis, Data Reduction, Discriminant Analysis (Statistics), Mathematical Models, Stellar Spectrophotometry

Scientific paper

The prediction process is defined from a statistical point of view as a construction of a model from a prior sample of observations and its application to a posterior sample to predict the value of dependent variable(s) corresponding to a set of observed independent variables. Techniques for model elaboration are reviewed with special emphasis on the various types of regression. An extensive bibliography is provided. The case of prediction of MK spectral classifications from uvbyβ photometric data is given as an example and compared to related studies, such as the photometric-box concept. Distinction is made between prediction, assimilation, and detection methods. Finally a few traps and pitfalls are pointed out and recommendations are made for successful predictions.

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