I would guess:
Objectivity & Transparency -> Judgment (more objectivity = less judgment)
Precise Float Adjustment -> Investability (more accurate float measure = more accurate measurement of how much of a company is actually investable rather than held closely out of the market)
Liquidity+Crossing -> Rebalancing Costs (more liquidity = less TCs)
Breadth -> Index Reconstitution Effects (no idea. I think breadth means the amount of potential candidates, so I would think higher breadth means higher chance of index reconstitution. I just chose this because the other 3 made sense to me).
Eh, on second thought, I can see how Breadth would better match up to investability, which would mean float precision either matches up to rebalancing costs or index reconstitution. I’m pretty confident about the rebalancing costs matching up to liquidity+crossing, so I guess Floating Precision matches up to Index Reconstitution effects somehow?