AMOVA Cluster Axiom for Manifold Consistency¶

Element · All elements
Evidence · no claims cited

Description¶

The AMOVA Cluster Axiom for Manifold Consistency is a logical-mathematical rule governing how psychometric research instrument (psyri) items are grouped, equated by the article with research reliability. It rests on "the threefold [Manifold] notion" that psyri items are grouped by relevance, each item has timely and relevant subject matter aligned to the initial research design, and all items exhaustively belong to some categorical cluster based on similarity of content, measurement, and data gathering procedure. It is represented as psy[ri] = [n/m], where n is the total number of instrument items and m the number of research categories (manifolds).

Design Implications¶

Context¶

Requirements¶

• Items grouped by similarity of content
• Each item aligned to the research hypotheses or questions
• Exhaustive placement of all items into clusters

Constraints¶

• The article notes manifolds may differ in item counts, creating 'Manifold Unequal Groups'

Target Learners¶

• researchers designing psychometric instruments

Target Learning Goals¶

• establishing reliability of instrument item clustering

Claims¶

Related Elements¶

• Accumulative Crosswise-Validation Analysis: within-row and between-column validity measurement
• Checklist 4: reporting evidence of reliability and construct validity

Examples¶

• Use AMOVA to add validity and reliability assessment value for researcher-designed instruments, with further substantiating research

Key Sources¶

• Osler, J. E. (2015). AMOVA ["Accumulative Manifold Validation Analysis"]: An advanced statistical methodology designed to measure and test the validity, reliability, and overall efficacy of inquiry-based psychometric instruments. i-manager's Journal of Educational Technology, 12(3). https://eric.ed.gov/?id=EJ1098595. doi:10.26634/jet.12.3.3742