Characterization and Diagnostic Tools for Factorial Block Designs // Description: Provides comprehensive tools for analysing and characterizing mixed-level factorial designs arranged in blocks. Includes construction and validation of incidence structures, computation of C-matrices, evaluation of A-, D-, E-, and MV-efficiencies, checking of orthogonal factorial structure (OFS), diagnostics based on Hamming distance, discrepancy measures, B-criterion, Es^2 statistics, J2-distance and J2-efficiency, Phi-p optimality, and symmetry conditions for universal optimality. The methodological framework follows foundational work on factorial and mixed-level design assessment by Xu and Wu (2001) doi:10.1214/aos/1013699993, and Gupta (1983) doi:10.1111/j.2517-6161.1983.tb01253.x. These methods assist in selecting, comparing, and studying factorial block designs across a range of experimental situations.