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. 2016 Oct 6;69(3):276–290. doi: 10.1111/bmsp.12071

Table 2.

Estimated Type I error rates for Wald and bootstrap tests for two intervention designs

Test Design 1 (D1) Design 2 (D2)
ρ = 0 ρ = .2 ρ = .5 ρ = .7 ρ = 0 ρ = .2 ρ = .5 ρ = .7
Normal errors
Wald .0674 .0728 .0854 .0808 .0612 .0697 .1000 .1130
Parametric bootstrap
= 100 .0503 .0503 .0522 .0500 .0513 .0510 .0529 .0540
= 200 .0513 .0522 .0507 .0544 .0460 .0489 .0508 .0537
Semi‐parametric bootstrap
= 100 .0513 .0519 .0522 .0541 .0457 .0462 .0465 .0510
= 200 .0494 .0479 .0505 .0499 .0508 .0475 .0458 .0561
Contaminated normal errors
Wald .0522 .0625 .0820 .0917 .0547 .0688 .1071 .1223
Parametric bootstrap
= 100 .0434 .0483 .0475 .0559 .0411 .0448 .0615 .0698
= 200 .0382 .0411 .0494 .0612 .0391 .0425 .0552 .0677
Semi‐parametric bootstrap
= 100 .0442 .0436 .0506 .0508 .0392 .0446 .0544 .0577
= 200 .0428 .0432 .0464 .0518 .0408 .0456 .0587 .0584