SEEG power comparisons within fixed shafts give expected AUC 0.5 for independent uniform fixed-count labels and valid other-shaft references

A reference selected with labels from other electrode shafts can change pooled SEEG power AUC under random labels. We prove that comparisons within fixed shafts have expected AUC 0.5 when labels are independent, uniform, and fixed in count. The reference must use no labels from the query shaft. All required references and at least one pair must be valid. An exact example with six independent contacts gives expected pooled AUC 0.35 and expected within-shaft AUC 0.5. We test the method on 70 interictal files from 35 patients in OpenNeuro ds004100 version 1.1.3. With 4,096 label draws per patient, mean high-gamma AUC is 0.500074 within shafts and 0.498175 for pooled comparisons. All 70 pinned raw sources were retrieved again. All derived covariance values match. Two complete reruns reproduce all 79 analysis artifacts exactly. The package preserves the proof, code, inputs, labels, results, source hashes, checks, and reproduction commands. The result concerns synthetic labels. It does not test clinical prediction accuracy.

SEEG · AUC · random labels · shaft reference · power · reference selection · conditional symmetry · electrophysiology · Monte Carlo