Table 3.

Averaged FPR and TPR (%) Under the Conditions With Impact = 1 in Simulation 1.

	FPR						TPR
	500/500			800/200			500/500			800/200
	OR	LR	MH	OR	LR	MH	OR	LR	MH	OR	LR	MH
0%	2.70	4.50	3.40	2.75	4.60	3.65	—	—	—	—	—	—
	(2.80)	(4.50)	(3.30)	(3.15)	(4.90)	(3.60)	—	—	—	—	—	—
Balanced DIF
10%	3.72	5.67	4.56	3.56	4.56	3.17	85.00	89.00	86.50	73.00	79.50	74.50
	(4.11)	(5.33)	(4.50)	(3.78)	(4.56)	(3.00)	(84.50)	(84.00)	(83.00)	(73.00)	(75.50)	(71.00)
20%	3.25	4.69	3.81	3.13	5.19	4.31	83.50	86.75	85.50	66.00	70.00	65.00
	(3.56)	(4.81)	(3.63)	(3.44)	(5.50)	(4.13)	(83.25)	(83.25)	(81.25)	(65.75)	(66.25)	(61.00)
30%	3.93	5.29	4.29	3.14	5.36	3.79	90.83	92.83	91.83	69.17	77.50	72.67
	(4.36)	(5.50)	(4.43)	(4.14)	(6.29)	(3.71)	(90.50)	(87.83)	(86.50)	(68.33)	(71.33)	(66.83)
40%	3.42	4.92	4.08	3.33	5.67	4.00	87.63	90.25	88.00	70.50	77.13	71.50
	(4.17)	(4.75)	(3.83)	(4.17)	(6.42)	(5.00)	(86.13)	(86.50)	(84.50)	(69.75)	(69.38)	(64.88)
Unbalanced DIF
10%	3.56	5.78	4.94	3.50	7.33	5.11	84.50	82.50	80.00	69.00	71.50	67.50
	(3.50)	(4.83)	(3.83)	(4.44)	(6.22)	(4.56)	(85.00)	(83.00)	(83.50)	(71.50)	(73.00)	(69.00)
20%	5.19	10.63	8.31	3.88	8.19	5.56	76.75	69.00	67.50	58.50	53.00	48.50
	(4.56)	(5.69)	(4.00)	(4.44)	(6.00)	(4.13)	(82.00)	(78.75)	(79.25)	(61.25)	(56.25)	(53.75)
30%	7.86	17.86	13.57	6.79	14.14	10.79	69.50	58.67	56.00	49.00	46.83	42.50
	(5.57)	(8.86)	(6.00)	(6.64)	(9.00)	(7.35)	(76.33)	(75.83)	(75.17)	(56.83)	(59.50)	(53.83)
40%	11.92	25.17	20.25	11.00	20.92	14.25	56.50	45.88	43.25	36.75	33.25	30.75
	(8.17)	(12.42)	(9.00)	(9.58)	(17.08)	(10.25)	(68.25)	(64.25)	(62.38)	(45.25)	(38.75)	(39.75)

Note. Values in the parentheses are obtained with the purification procedures. Inflated FPRs (≥7.5%) are marked in bold. FPR = false positive rate; TPR = true positive rate; OR = odds ratio; LR = logistic regression; MH = Mantel–Haenszel; DIF = differential item functioning.