Table 7: Type I error and power under DGP1.

Method1

n0

n1

ρ1 = −0.4

ρ1 = −0.2

ρ1 = 0

ρ1 = 0.2

ρ1 = 0.4

PCGC

500

500

0.8

0.61

0.052

0.63

0.816

PCGC

1000

1000

0.87

0.762

0.03

0.754

0.876

PCGC

1500

1500

0.892

0.804

0.044

0.79

0.89

PBoot

500

500

1

0.79

0.034

0.83

1

PBoot

1000

1000

1

0.986

0.048

0.98

1

PBoot

1500

1500

1

1

0.046

0.998

1

TW

500

500

0.992

0.334

0.004

0.342

0.994

TW

1000

1000

1

0.816

0.002

0.824

1

TW

1500

1500

1

0.98

0.004

0.974

1

ρ1 = 0 constitutes the null distribution

1PCGC: Principal Components Group Comparison; Fork: Forkman’s Test; TW: Tracy-Widom