Measuring Immigration Service Accessibility: A Comparative Statistical Framework Across Developed Nations

This paper introduces a five-dimensional accessibility tensor for quantifying immigration service accessibility across developed nations. The framework measures: telephone contact, email correspondence, online appointment booking, walk-in access, and published processing timelines. Applied to nine countries (USA, UK, Canada, Netherlands, Japan, China, Australia, France, Germany), the analysis reveals significant variance in administrative accessibility. Statistical analysis identifies one nation as a significant outlier (z = -2.24, p < 0.05) with zero accessibility across all dimensions. Intra-jurisdictional analysis demonstrates that accessibility limitations reflect policy design rather than resource constraints, as parallel administrative pathways within the same jurisdiction achieve substantially higher scores. Includes reproducible Python code and raw computational output for independent verification.