Comprehensive Analytical Overview
of Selected Dimensional Interactions
Technical Report · Series IV · Longitudinal Assessment Framework
Aggregate Flux Index
3.847
▲ +0.22 vs. prior epoch
Residual Variance
0.174
▼ −0.08 corrected
Modal Displacement
11.3%
▲ +3.1% seasonal
Coherence Coefficient
0.923
— stable (σ=0.007)
Normalized Flux Variance vs. Inverse Latency Coefficient
streaming
Temporal decomposition · 48-period rolling window · Δ-adjusted
† Crossing events at t=14, t=31 indicate phase-realignment consistent with predicted modal inversion. Shaded region = 1σ confidence band. Values normalized to baseline epoch (q=0). See Appendix C for raw coefficient matrices.
Multi-Axis Competency Distribution
updating
Hexagonal profile · current vs. reference
† Outer ring = theoretical maximum. Reference profile derived from ensemble mean across all observed cohorts (n=847). Dimensional axes are independent and non-additive.
Corrective Displacement vs. Proximate Intensity
tracking
Bivariate scatter · OLS regression · outliers flagged
† R² = 0.038. Regression line shown for visual continuity only. Flagged outliers (◇) excluded from primary coefficient estimation. Cluster formations at lower-left quadrant warrant further investigation (see §4.2).
Compositional Layering of Attributed Throughput Segments
streaming
Stacked area · rolling window · percent-normalized
† Segment proportions recalculated at each interval to account for differential attrition rates. The apparent compression of Segment Ω between t=38–44 is an artifact of the normalization procedure and does not reflect an actual decrease.
Ranked Perturbation Coefficients by Category
updating
Lollipop chart · descending magnitude · signed values
† Negative values indicate counter-directional perturbation relative to reference frame. Error bars = ±1SE. Categories defined by hierarchical clustering of feature vectors (k=9, Ward linkage).
Three-Dimensional Relational Density Map
tracking
Bubble chart · size = volumetric weight · opacity = certainty
† Bubble area proportional to third-axis magnitude (log-scaled). Overlap between clusters is expected and does not imply correlation. Color groupings reflect post-hoc categorization; groupings were not defined a priori.