Introduction to Mixed Models
Bayesian Modeling 11 min read

Introduction to Mixed Models

Translating from Wikipedia’s nomenclature to ours: µ0 is our initial estimate of M_M σ0 is our initial estimate of M_S σ is S n is the number of games we’ve obser...
15-08-2021
206
Matthew Buchalter
By Matthew Buchalter Contributor
Building a Bayesian Model: Part 1
Bayesian Modeling 6 min read

Building a Bayesian Model: Part 1

All of the data and models described in this series of articles can be downloaded here: nba-opponent-shooting-percentageDownload In this series of articles, I’m g...
14-08-2021
193
Matthew Buchalter
By Matthew Buchalter Contributor
Building a Bayesian Model: Part 2
Bayesian Modeling 4 min read

Building a Bayesian Model: Part 2

In Part 1, we built a very simple model for NBA shooting percentage defense that didn’t work very well. The underlying hypothesis was that all team-to-team varian...
14-08-2021
200
Matthew Buchalter
By Matthew Buchalter Contributor
Building a Bayesian Model: Part 3
Bayesian Modeling 4 min read

Building a Bayesian Model: Part 3

In Part 2, we introduced the concept of a “ballast model” and applied it to our NBA defensive shooting percentage data. Just one problem though…we selected our ba...
14-08-2021
206
Matthew Buchalter
By Matthew Buchalter Contributor
Building a Bayesian Model: Part 4
Bayesian Modeling 9 min read

Building a Bayesian Model: Part 4

We ended Part 3 with the Shyamalan-eque twist that the simple ballast model we’ve been building has been a Bayesian model all along. Time to take a step back and...
14-08-2021
255
Matthew Buchalter
By Matthew Buchalter Contributor
Building a Bayesian Model: Part 5
Bayesian Modeling 8 min read

Building a Bayesian Model: Part 5

In Part 4, we took our simple ballast model and re-derived it as a Bayesian model complete with priors, posteriors, hyperparameters, loglikelihoods…the whole sheb...
14-08-2021
710
Matthew Buchalter
By Matthew Buchalter Contributor

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