statistics

Estimating a 2-PL Model in Julia (Part 2)

E-Step M-Step Estimating a 2-PL Model with EM in Julia Find \(\bar r_{jk}\) and \(\bar n_k\) Solve estimating equations Iterations Stopping criteria Benchmarking Remark \[ \newcommand{\bv}[1]{\boldsymbol{\mathbf{#1}}} \]

Estimating a 2-PL Model in Julia (Part 1)

Import Data Two-Parameter Logistic Model Estimation with mirt in R Marginal Maximum Likelihood (MML) Estimation Implement MML Estimation in Julia Import R data Compute marginal loglikelihood Optimization Benchmarking The semester is finally over, and for some reason, I wanted to consolidate my understanding of some psychometric models, perhaps because I’ll be teaching a graduate measurement class soon.

Mixed Factorial ANOVA in R

Load Required Packages Data Description Data Import Mixed ANOVA ANOVA Table Plot Sample Result Reporting Load Required Packages library(afex) ## Loading required package: lme4 ## Loading required package: Matrix ## ************ ## Welcome to afex.

Unit-Specific vs. Population-Average Models

One thing that I always felt uncomfortable in multilevel modeling (MLM) is the concept of a unit-specific (US)/subject-specific model vs. a population-average (PA) model. I’ve come across it several times, but for some reason I haven’t really made an effort to fully understand it.

bootmlm

An R package for bootstrap resampling for multilevel models.