Statistical analysis techniques based on Cross-Cultural research methods: cross-cultural paradigms and intra-country comparisons

Accumulated cross-cultural research has shown that its methods can also apply within countries, especially as more and more different immigrants or sojourners flow into host countries and the need to deal at least with acculturation issues is pressing. Cross-cultural methodology approximates research on intra-country issues, since comparinggroups with different characteristics within countries may also reflect different “cultures” represented by each of the differential groups. A question of bias elimination is raised when such comparisons areattempted either under a Cross-Cultural or an intra-country scope. Taking the van de Vijver and Leung and the Poortinga and van de Vijver theories on bias in terms of culture as a starting point, a triple-fold paradigm employing factor analysis and other techniques is presented on: (a) the application of simple congruence coefficients in estimating factor similarity –that is, basic factor equivalence testing– along with a proposed method of taking advantage of the Tucker coefficient matrix for a set of two or more factor structures, (b) the within-country application of multilevel covariance structure analysis and Procrustean rotations for a set of between groups and pooled-within correlation matrices, and (c) the reduction of “bias in terms of culture” by eliminating variance components through multivariate methods. By incorporating some of these methods in standard -within country- psychological research, we should be able to gain on theoretical andpsychometric grounds and we may finally question the degree of construct similarity among groups within a country, which cannot be necessarily taken for granted. These considerations are closely related to the use of multilevel analyses, as these stem from Cross-Cultural Psychology through most forms of intracountry and/or inter-country comparisons.