Table 1. race equalities $RT1\stackrel{P}{=}RT2$ considered in this paper.

Equality Type/label	RT1	RT2	RT goal designated for prediction
Non-spurious
RE 1	min(RT CMO, RT C, RT M, RT O)	min (RT CM, RT CO, RT MO)	RT CMO
Spurious
RE 2	RT CO	min (RT C, RT O)	RT CO
RE 3	RT MO	min (RT M, RT O)	RT MO
RE 4	RT CM	min (RT C, RT M)	RT CM
RE 5	RT CMO	min (RT C, RT M, RT O)	RT CMO
RE 6	min(RT CMO, RT M, RT CO)	min (RT C, RT O, RT CM, RT MO)	RT CMO
RE 7	min(RT CMO, RT C, RT MO)	min (RT M, RT O, RT CM, RT CO)	RT CMO
RE 8	min(RT CMO, RT O, RT CM)	min (RT C, RT M, RT CO, RT MO)	RT CMO