MAIHDA is more scalable and parsimonious than the traditional regression approach with full interaction terms¶

Claim · All claims
Evidence · 1 study · review r2 · q2
Currency · newest study 2023 · not yet checked against its sources · not reviewed by a person

Subclaims¶

q2 i? For four social categories, the traditional regression approach requires 42 parameters whereas MAIHDA requires only ten parameters to model all main effects and interactions. → Keller 2023

Evidence¶

Keller 2023¶

Keller, L., Lüdtke, O., Preckel, F., & Brunner, M. (2023). Educational Inequalities at the Intersection of Multiple Social Categories: An Introduction and Systematic Review of the Multilevel Analysis of Individual Heterogeneity and Discriminatory Accuracy (MAIHDA) Approach. Educational Psychology Review. https://doi.org/10.1007/s10648-023-09733-5

q2 · i? · review · r2

Analytical comparison in the methods exposition of parameter counts for the two approaches with four social categories. The article states the traditional approach needs "42 parameters" while MAIHDA needs only ten to account for all main effects and all possible interactions.

"In our example with 11 potential memberships across four social categories, 42 parameters (i.e., 40 dummy-coded variables for the social categories, an intercept term, and the variance of the residuals) would have to be modelled in the traditional regression approach, whereas only ten parameters"

Discussion¶

Related Claims¶

• Precision-weighted shrinkage in MAIHDA yields reliable conservative estimates for small strata and helps solve the multiple-testing problem — related
• In the PISA 2018 German illustration, students were assigned to 40 intersectional strata with sample sizes ranging from 3 to 512 — related
• A systematic review identified 21 publications applying intersectional MAIHDA analysis, primarily in the health sciences — related