Posted: Jun 08, 2015
Hierarchically structured data represents one of the most common yet challenging forms of information organization across scientific disciplines. The inherent nested nature of observations in both social and biological systems necessitates analytical approaches that can properly account for dependencies within clusters and variations across levels. Multilevel modeling, also known as hierarchical linear modeling, has emerged as a powerful statistical framework for addressing such data structures. However, traditional applications of multilevel modeling have largely remained confined within disciplinary boundaries, with limited cross-fertilization between social and biological sciences. This research bridges this gap by developing an integrated methodological framework that leverages the structural parallels between hierarchical organizations in social and biological systems. The fundamental challenge in analyzing hierarchically structured data lies in the violation of independence assumptions that underpin conventional statistical methods. Observations nested within the same higher-level units tend to be more similar to each other than to observations from different units, creating complex dependency structures that must be explicitly modeled. Social systems exhibit hierarchical organization through individuals nested within groups, organizations, communities, and larger social structures. Similarly, biological systems display hierarchical organization through cells nested within tissues, organs, organisms, and populations. Despite these apparent parallels, methodological developments in multilevel modeling have progressed largely independently within these domains. This research addresses three critical gaps in the current literature. First, we develop a unified theoretical framework that identifies common mathematical properties of hierarchical structures across social and biological systems. Second, we introduce novel computational techniques that extend traditional multilevel modeling to handle cross-domain hierarchical comparisons. Third, we demonstrate how insights from biological hierarchical organization can inform our understanding of social structures, and vice versa. Our approach moves beyond conventional applications of multilevel modeling by focusing on
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