The "Hit" Matrix utilizes Congruence coefficients as computed for a set of factor structures across pairs of different populations, conditions, or even methods of factoring (e.g., ML vs. PAF or vs. PCA, Pearson-based vs. Kendall_T-based, etc.). The Phi coefficients produced by each factor structure comparison yield the number (or percentage) of "Hits" for each pair compared. All numbers of hits/percentages comprise the "Hit" matrix; this matrix is considered a similarity matrix and can be analyzed further via several Multidimensional Scaling techniques (including MDS-T, see unit #1 in current website-Tab), via Clustering techniques, and via other homogeneous-groups seeking methods. The homogeneous groups retrieved can be re-analyzed as new broader sets of data with respect to their factor structures.[1] This approach, following the Georgas & Berry paradigm (1995),[2] reveals unseen data facets and directs to larger homogeneous datasets as defined by their own factor structures.
An "overview" example is shown below (followed by MDS-T); source: Mylonas et al., 2011.
[1] Mylonas, K. (2009). Statistical analysis techniques based on Cross-Cultural research methods: cross-cultural paradigms and intra-country comparisons. "Psychology": The Journal of the Hellenic Psychological Society, 16(2), 185-204.
Georgas, J. & Mylonas, K. (2006). Cultures are like all other cultures, like some other cultures, like no other culture. In U. Kim, K.S. Yang & K.K. Hwang (Eds.), Indigenous and Cultural Psychology: Understanding People in Context (pp. 197-221). New York: Springer. ISBN: 0-87-28661-6.
Mylonas, K., Gari, A., Panagiotopoulou, P., Georgiadi, E., Valchev, V., Papazoglou, S., & Brkich, M. (2011). Bias in Terms of Culture: Work Values country-clustering for 33 European countries and Person-Job Fit factor equivalence testing for four European countries. In J. Deutch, M. Boehnke, U. Kühnen, & K. Boehnke (Eds.), Rendering borders obsolete: Cross-cultural and cultural psychology as an interdisciplinary, multi-method endeavor. Bremen, Germany: International Association for Cross-Cultural Psychology. ISBN: 978-0-9845627-2-5. Accessed via www.iaccp.org.
Mylonas, K. (2016). Factor structures across countries and across clusters of countries: A 36-country study on the Family Values Scale. Advances in Social Sciences Research Journal, 3(8), 63-76. DoI: 10.14738/assrj.38.2157
Mylonas, K., Lawrence, C., Zajenkowska, A., & Bower Russa, M. (2017). The Situational Triggers of Aggressive Responses scale in five countries: Factor structure and country clustering solutions. Personality and Individual Differences, 104(1), 172-179. Online first, August 2016, DoI: dx.doi.org/10.1016/j.paid.2016.07.030
[2] Georgas, J., & Berry, J. W. (1995). An ecocultural taxonomy for cross-cultural psychology. Cross-Cultural Research: The Journal of Comparative Social Science, 29(2), 121-157. https://doi.org/10.1177/106939719502900202