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Month: April 2020

Mixed models from scratch: REML and random slopes

April 24, 2020 Joseph Deutsch Leave a comment

$\newcommand{\e}{\varepsilon}$$\newcommand{\Var}{\operatorname{Var}}$$\newcommand{\x}{\mathbf x}$$\newcommand{\one}{\mathbf 1}$$\newcommand{\0}{\mathbf 0}$In my previous post I stopped right before working out the REML objective function so I’ll start…

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Posted in: Linear algebra, Regression

Leverage scores in linear regression

April 22, 2020 Joseph Leave a comment

$\newcommand{\Var}{\operatorname{Var}}$$\newcommand{\Cov}{\operatorname{Cov}}$$\newcommand{\one}{\mathbf 1}$$\newcommand{\0}{\mathbf 0}$$\newcommand{\e}{\varepsilon}$$\newcommand{\E}{\operatorname{E}}$In this post I’m going to discuss leverage scores in linear regression. In particular, I’ll show how the…

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Posted in: Linear algebra, Regression

Mixed models from scratch: MLEs and BLUPs

April 7, 2020 Joseph Leave a comment

$\newcommand{\e}{\varepsilon}$$\newcommand{\Var}{\operatorname{Var}}$$\newcommand{\x}{\mathbf x}$$\newcommand{\one}{\mathbf 1}$$\newcommand{\0}{\mathbf 0}$In this post I will derive the point estimates for mixed models. I’ll focus on interpretation so…

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Posted in: Linear algebra, Regression

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