Selected-position counts cannot diagnose position bias unless arm exposure is balanced across positions. The diagnostic derives exposure first and refuses to emit a conclusion when it is not.
ARM × POSITION EXPOSURE
POS 1POS 2POS 3POS 4A8565B5793C7557D4749
EXPOSURE BALANCED: FALSE · POSITION EFFECT IDENTIFIED: FALSE
Arm by position exposure is unbalanced: B occupied position 3 nine times and position 4 three times.
No position effect is identified: selected-position marginals conflate arm preference with exposure.
Supersedes the withdrawn naive chi-square. An assignment-aware diagnostic is pending.