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. 2015 Nov 18;2:34–53. doi: 10.1016/j.conctc.2015.10.002

Table 9b.

Type I Error Rate for Joint Test at a Boundary Point on the Positive (Δ2|c)-Axis for Selected Parameter Values of ρT, ρP, σ1 and τ (DRDS Design Parameter Values: r1 = 2, r2 = 1, N1 = 990) (Δ, Γ) = (α11 + α2*(Δ2|X1,P < c), Δ12|X1,P < c)) P (Zˆa>c0.025 - α22|X1,P < c)/std (Δˆ) & Wˆo> c0.025,W |(0, Δ2|X1,P < c)).

ρP ρT σ1 κ τ γ = Φ(τ) ϕ(τ)/Φ(τ) Δ2|X1,P < c Type I error rate
0.90 0.10 2.40 1.0 −0.60 0.274 1.215 2.33 0.0054
−0.30 0.382 0.998 1.92 0.0064
0.00 0.500 0.798 1.53 0.0068
0.30 0.618 0.618 1.19 0.0063
0.60 0.726 0.459 0.88 0.0052
0.5 −0.60 0.274 1.215 2.48 0.0058
−0.30 0.382 0.998 2.04 0.0068
0.00 0.500 0.798 1.63 0.0072
0.30 0.618 0.618 1.26 0.0067
0.60 0.726 0.459 0.94 0.0055
1.20 1.0 −0.60 0.274 1.215 1.17 0.0124
−0.30 0.382 0.998 0.96 0.0153
0.00 0.500 0.798 0.77 0.0161
0.30 0.618 0.618 0.59 0.0146
0.60 0.726 0.459 0.44 0.0114
0.5 −0.60 0.274 1.215 1.24 0.0236
−0.30 0.382 0.998 1.02 0.0285
0.00 0.500 0.798 0.81 0.0296
0.30 0.618 0.618 0.63 0.0269
0.60 0.726 0.459 0.47 0.0210