Analysis of Variance for Multi-Factor Textile Experiments
topic
One-way ANOVA compares mean responses across multiple textile treatment groups simultaneously while controlling family-wise error rate, two-way ANOVA simultaneously evaluates main effects of two factors and their interaction, and mixed model ANOVA handles nested and crossed factor structures in textile experiments with random laboratory, operator, and material batch effects.
Role
Provides the statistical framework for analysing multi-factor textile experiments comparing multiple dye systems, fibre blends, or finishing treatments simultaneously, replacing multiple pairwise t-tests that inflate false positive rate with a unified analysis that correctly partitions variance among experimental factors and their interactions.