Start with high-confidence multivariate analysis books, then narrow by subgenre or adjacent topics.
Applied Longitudinal Analysis
Garrett M. Fitzmaurice, Nan M. Laird
Cluster Analysis
Brian S. Everitt, Sabine Landau
Multivariate Analysis
William R. Dillon, Matthew Goldstein
Statistical Analysis of Categorical Data
Chris J. Lloyd
An Introduction to Multivariate Statistical Analysis
Theodore W. Anderson
A First Course in Structural Equation Modeling
Tenko Raykov, George A. Marcoulides
Statistics II for Dummies
Deborah J. Rumsey
Applied Principles of Chemometrics
Jina Redlin
Advanced Modeling and Data Challenges
Mike Nguyen