Regional asymmetries by ANOVA indexed by surface area (column a), curvature index (column b), cortical thickness (column c), subjacent white matter volume (column d), and MANCOVA (column e) in groups of healthy young (row i), healthy elderly (row ii), MCI (row iii), and AD (row iv). Heterogeneity and inconsistency in hemispheric asymmetry was observed by ANOVA. MANCOVA proved to be more sensitive to detect more regions with asymmetry. Red‐yellow represents leftward lateralization and blue‐cyan represents rightward lateralization. All P values were corrected to control false discovery rate at a significance level of 0.05.