Table 2.

Effects of Different Weighting Systems on the Composite Score When Event Rates Are Reduced

Weighting System	Calculation of the Composite Score
Equal weights	(1/3)∗(20/100) + (1/3)∗(40/60) + (1/3)∗(20/40) = 0.456
Reduce A by 10	(1/3)∗(10/100) + (1/3)∗(40/60) + (1/3)∗(20/40) = 0.422
Reduce B by 10	(1/3)∗(20/100) + (1/3)∗(30/60) + (1/3)∗(20/40) = 0.400
Reduce C by 10	(1/3)∗(20/100) + (1/3)∗(40/60) + (1/3)∗(10/40) = 0.372
Opportunity-based weights	(100/200)∗(20/100) + (60/200)∗(40/60) + (40/200)∗(20/40) =
	(20 + 40 + 20)/200 = 0.400
Reduce A by 10	(10 + 40 + 20)/200 = 0.350
Reduce B by 10	(20 + 30 + 20)/200 = 0.350
Reduce C by 10	(20 + 40 + 10)/200 = 0.350
Numerator-based weights	(20/80)∗(20/100) + (40/80)∗(40/60) + (20/80)∗(20/40) = 0.508
Reduce A by 10	(10/70)∗(10/100) + (40/70)∗(40/60) + (20/70)∗(20/40) = 0.538
Reduce B by 10	(20/70)∗(20/100) + (30/70)∗(30/60) + (20/70)∗(20/40) = 0.414
Reduce C by 10	(20/70)∗(20/100) + (40/70)∗(40/60) + (10/70)∗(10/40) = 0.474