The following are presentations and derivations. Use them as references and guides. Most of the documents are self-explanatory, but email me with any questions.

Basic Statistics and R Reports

  • Book - Introduction to R Guide [PDF]
  • Reference - Basic Statistics Formula Sheet [PDF]

Statistics Reports

  • Presentation - Regression Graphics [PDF]
  • Derivation - Ratio of Independent Exponential Distributed Variables [PDF]
  • Reference - Properties of the Wishart/Inverse Wishart Distribution [PDF]

Psychometrics Reports

  • Presentation - Correction for Range Restiction and Factorial Invariance [PDF]
  • Presentation - Latent Growth Models and Basic SEM [PDF]
  • Presentation - IRT Parameter Estimation (JMLE/MMLE) [PDF]
  • Derivation - The Relationship between Spearman-Brown and Coefficient Alpha [PDF]

Mathematics Reports

  • Presentation - Matrices and Trace Derivatives (Schonemann) [PDF]
  • Presentation - Matrix Differentials and Derivatives (Magnus) [PDF]
  • Derivation - Eulers Formula and Trig Identities [PDF]