Family variance analysis of 3D Gaussian Splatting methods.

Method-to-family assignments:
vanilla_3dgs: BASELINE
pgsr: GEO_REG
erankgs: PRIM_CTRL
ges: PRIM_CTRL
opti3dgs: PRIM_CTRL
steepgs: PRIM_CTRL
lightgaussian: COMPRESS
minisplatting: COMPRESS

Median counterfactual metrics for family BASELINE:
sh_net_effect: 0.010774694383144379
sh_corruption_rate: 0.3039323389530182
opacity_net_effect: 0.1297035962343216
opacity_pathology_rate: 0.07700620591640472
coverage_error_fraction: 0.1200030967593193
residual_error: 0.022868691012263298

Median counterfactual metrics for family COMPRESS:
sh_net_effect: 0.010715165408328176
sh_corruption_rate: 0.3025362566113472
opacity_net_effect: 0.10148703306913376
opacity_pathology_rate: 0.12341982126235962
coverage_error_fraction: 0.06868002191185951
residual_error: 0.024134261533617973

Median counterfactual metrics for family GEO_REG:
sh_net_effect: 0.016685746610164642
sh_corruption_rate: 0.29114288091659546
opacity_net_effect: 0.02620803937315941
opacity_pathology_rate: 0.27372056245803833
coverage_error_fraction: 0.09247732162475586
residual_error: 0.023535307496786118

Median counterfactual metrics for family PRIM_CTRL:
sh_net_effect: 0.012461140286177397
sh_corruption_rate: 0.29622741788625717
opacity_net_effect: 0.07779833395034075
opacity_pathology_rate: 0.14511032029986382
coverage_error_fraction: 0.07354441663483158
residual_error: 0.028399046044796705

ANOVA sum-of-squares ratio (family-explained fraction) per metric:
sh_net_effect: 0.40952140184682584
sh_corruption_rate: 0.01751804203321364
opacity_net_effect: 0.7856831690441418
opacity_pathology_rate: 0.5671719746083468
coverage_error_fraction: 0.19019040802317663
residual_error: 0.08451821047481842