Table 3.

Summary of Methods and Results: Type I Error and Power

Method	1	2	3	4	5	6	7	8	9	10
Weighted?	No	No	No	Yes	Yes	Yes	Yes	Yes	Yes	Yes
Weights	N/A	N/A	N/A	(θj2σ2j)−1	(θjσj)−1	(σ2j)− 1	(σj)− 1	n j	n j	n j
Intercept?	No	Yes	Yes	Yes	Yes	Yes	Yes	No	Yes	Yes
Reference Group included?	Yes	Yes	No	Yes	Yes	Yes	Yes	Yes	No	Yes
Type I Error Controlled?	No	Yes	Yes	Yes	Yes	Yes	Yes	No	Yes	Yes
Power: Linear	N/A	M	L	VL	VL	H	M	N/A	H	M
Power: Weak Quadratic	N/A	H	M	L	L	M	M	N/A	M	H
Power: Strong Quadratic	N/A	M	L	VL	VL	H	M	N/A	H	H

VL Very Low Power, L Low Power, M Moderate Power, H High Power

Relative amounts of power refer to the relative ranks of the methods. Methods classified as with high power had the most power for at least one scenario in the corresponding type of simulation. Methods classified as with medium or low power were ranked next. Methods classified with very low power displayed the lowest power in every simulation of that type