RESOURCES

Various Statistical Notes

Regression Related

• Hand computation of a bivariate regression using calculus
• R direct computation of a bivariate regression
• Standardized partial regression coefficient derivation
• Regression with binary indicators to illustrate estimate computations (fictitious data example)
• Regression with continuous by continuous interactions
• Testing parameter constraints in Linear Regression
• Logistic Regression for Dose/Response curves from online (link in text)

Maximum Likelihood & Analytic Demonstrations

• Basics of Maximum Likelihood using Optim
• More MLE with nonlinear data transformations.
• Analytic solution for maximum likelihood estimates of: Gaussian, Bernoulli, and OLS
• Variance Sum Law

ANOVA & ANCOVA

• Simple One-way ANOVA in JAGS
• Quick ANCOVA example from online(link in comments)
• ANCOVA Analysis reproduction regarding Cholesterol

SEM Related

• Common Factor Model loading estimation example
• Introduction to path analysis
• Replication of Horn & McArdle 1992 regarding Factorial Invariance
• SEM misspecification example from SEM-NET mailing list

Technical Miscellaneousness

• Sampling Distribution and Standard Error example
• Solving systems of equations using various matrix decomposition methods i.e., QR, Cholesky, & SVD
• Multivariate Normal Distribution
• Plotting the logit transformation
• The beginnings of simulation of Stochastic Differential Equations (SDEs) from Higham, D.J. (2000)

Computer code

• MplusParser. A module written in perl for the automated conversion of simple scripts written in Mplus syntax to OpenMx syntax. The file includes the Module along with an example script of its use.
• Tucker Curves. An R script of Tucker's initial approach to modeling growth using Factor Analysis. This code is a translation of SAS code provided by John R. Nesselroade.

Shiny Apps

• Central Limit Theorem demonstration.
• Continuous by Continuous Interaction regression surface viewer. Requires WebGL.