Table 1.

Empirical sizes and powers of the tests $T_{a1}^{(1)},T_{a2}^{(1)},T_{m1}^{(1)}\text{and}{T}_{m2}^{(1)}$ for testing H₁₀ at the nominal level 0.05 for ρ = 0 and 0.92 when 50% of the marks are missing. The bandwidths are h₁ = 0.1 and h₂ = h. Each entry is based on 500 Gaussian multipliers samples and 500 repetitions.

				Size/Power
				ρ = 0				ρ = 0.92
Model	(α, β, γ)	n	h	$T_{a1}^{(1)}$	$T_{a2}^{(1)}$	$T_{m1}^{(1)}$	$T_{m2}^{(1)}$	$T_{a1}^{(1)}$	$T_{a2}^{(1)}$	$T_{m1}^{(1)}$	$T_{m2}^{(1)}$
M1	(0, 0, 0.3)	500	0.15	5.4	4.0	4.0	5.0	4.6	4.2	3.8	4.2
			0.20	5.0	4.4	4.6	5.2	4.8	4.0	4.2	3.6
		800	0.10	3.8	3.6	4.2	4.2	3.8	3.8	5.4	4.8
			0.15	4.0	3.8	4.6	4.6	5.0	4.4	5.4	5.6
M3	(−0.6, 0.6, 0.3)	500	0.15	68.2	67.0	79.4	76.0	73.2	74.6	83.2	85.4
			0.20	63.2	65.0	75.8	74.2	69.2	71.4	79.8	82.6
		800	0.10	88.2	86.2	94.6	90.4	92.0	93.0	95.0	97.2
			0.15	87.4	86.6	92.8	90.8	89.2	90.6	93.4	95.2
M4	(−1.2, 1.2, 0.3)	500	0.15	99.6	99.4	99.8	99.8	99.8	100	99.8	100
			0.20	99.4	99.0	99.6	99.8	99.6	99.8	99.8	100
		800	0.10	100	100	100	100	100	100	100	100
			0.15	100	100	100	100	100	100	100	100
M2	(−0.69, 0, 0.3)	500	0.15	100	100	100	99.8	100	100	100	100
			0.20	100	100	100	100	100	100	100	100
		800	0.10	100	99.8	100	100	99.8	99.8	99.8	99.8
			0.15	100	100	100	100	100	100	100	100