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Techniques for analyzing the relationship between one (or more) "dependent" variables and "independent" variables.

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What is the difference between hierarchical modeling and setting a (fixed) prior on a parame...

I was reading through Chapter 11 of Data Analysis using Regression & Multilevel Models, and was confused by a slight variation of a simple hierarchical model posed in the text. … Using the notation of the book, a possible regression model for this is: $$ y_i = \beta_0 + \beta_1 x_i + \alpha_{j[i]} + \epsilon_i, $$ where $\epsilon_i \sim N(0, \sigma^2)$ and $$ \alpha_j \sim N(0, …
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