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Model Selection and Model Averaging

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Statistical Foundations, Reasoning and Inference

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Abstract

In Chaps. 4 and 5 we explored Maximum Likelihood estimation and Bayesian statistics and, given a particular model, used our data to estimate the unknown parameter θ. The validity of the model itself was not questioned, except for a brief detour into the Bayes factor. In this chapter we will delve a little deeper into this idea and explore common routines for selecting the most appropriate model for the data. Before we start, let us make the goal of model selection a little more explicit.

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Kauermann, G., Küchenhoff, H., Heumann, C. (2021). Model Selection and Model Averaging. In: Statistical Foundations, Reasoning and Inference. Springer Series in Statistics. Springer, Cham. https://doi.org/10.1007/978-3-030-69827-0_9

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