Note (Sept 2019): New link to data https://datadryad.org/stash/dataset/doi:10.5061/dryad.8376
This screencast is a tutorial demonstrating how to fit simple general linear models (regressions and extensions) using maximum likelihood estimation. In it you will see how to write your objective functions, and how to use R's built in optimizers ( based on optim and wrappers such as mle() and mle2() in the bbmle library)
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Using R to fit regression models using maximum likelood | NatokHD