Table 3 Conditions for the presence or absence of racial disparities and their direction if present

From: Resolution of apparent paradoxes in the race-specific frequency of use-of-force by police

Form of bias

Absent

Present

Against black individuals

Against white individuals

Encounter

ϕB = ϕW Φ = 1

ϕB > ϕW Φ > 1

ϕB < ϕW Φ < 1

Population-level, non-lethal force

δB = δW Δ = 1

δB > δW Δ > 1

δB < δW Δ < 1

Population-level, lethal force

ψB = ψW Ψ = 1

ψB > ψW Ψ > 1

ψB < ψW Ψ < 1

Encounter-conditional, non-lethal force

γB = γW Γ = 1

γB > γW Γ > 1

γB < γW Γ < 1

Encounter-conditional, lethal force

θB = θW Θ = 1

θB > θW Θ > 1

θB < θW Θ < 1

  1. Variables are defined in Table 2; the double arrow () is read as “is equivalent to”