Davis Geometric
Technical figure study / membrane

Permeability: measurements, context & residuals

Inspect the baseline equation, the individual-observation residuals, and the sample counts behind the context-stratified comparison.

Primary plate. The sections below add complementary views, interpretation, and the inspectable record.
Primary plate. The sections below add complementary views, interpretation, and the inspectable record.

01 / Specify the baseline

The plate compares public skin-permeability observations with the published Potts–Guy equation applied without refitting. Each point is an observation, not necessarily a unique chemical or an independent experimental system. Molecular properties and experimental context answer different questions.

predicted log Kp = 0.71 log P − 0.0061 MW − 6.3
Residuals of the same published equation, and the retained counts in the companion’s context-stratified rows.
Residuals of the same published equation, and the retained counts in the companion’s context-stratified rows.

02 / Compare errors together with sample counts

Reported context rows; retained subsets differ
ContextRetained nDropped nReported RMSEReported R²
No conditioning53401.258250.0210113
Refit here53401.145440.18869
+ vehicle441931.103750.273706
+ full protocol3112230.9911930.372731

The apparent reduction in error across rows is not a paired improvement estimate because the evaluated samples change. A fair generalization test would fix the comparison population or explicitly analyze the selection mechanism, then separate fitting from held-out evaluation.

03 / Preserve the unsuccessful analysis

Companion dose-response summaries; these are not efficacy results
Minimum group countSectionsCorrelationOne-tailed permutation p
3410.1893730.114844
4320.1583580.188391
522-0.09316770.664417
622-0.09316770.664417

These exploratory summaries do not establish dose-response efficacy, and skin measurements do not by themselves validate transfer to hair substrates. The relevant endpoints, substrates, and protocols must remain explicit.

Sources, versions & further reading

Additional diagnostic plates are analytic constructions or descriptive re-plots of the saved record, as labeled. They do not introduce new experimental validation.