Table 1.
Average percentage of Type I error values (%) by the R-LTMD procedure under different choices of , p, and the significance level , respectively, when n = 100, k = 3 in case (a), and k = 10 in Case (b).
| Case | Cor | p | α=0.01 | α=0.05 | α=0.1 | α=0.01 | α=0.05 | α=0.1 |
|---|---|---|---|---|---|---|---|---|
| a | (i) | 200 | 0.9(0.9) | 5.0(2.4) | 9.9(3.6) | 1.2(1.2) | 5.5(2.5) | 10.8(3.9) |
| 500 | 1.2(1.1) | 5.6(2.9) | 11.1(3.8) | 1.5(1.3) | 6.0(3.0) | 12.3(3.6) | ||
| 1000 | 1.4(1.3) | 6.4(3.1) | 13.5(4.2) | 1.8(1.5) | 7.3(3.0) | 13.4(4.0) | ||
| (ii) | 200 | 1.0(1.1) | 4.7(2.4) | 10.6(3.9) | 1.1(1.3) | 5.4(2.6) | 10.7(4.0) | |
| 500 | 1.3(1.1) | 5.5(2.8) | 11.7(3.6) | 1.4(1.4) | 6.2(3.0) | 12.4(3.9) | ||
| 1000 | 1.3(1.0) | 6.1(2.9) | 13.2(4.0) | 1.6(1.4) | 7.3(3.4) | 14.2(4.1) | ||
| (iii) | 200 | 0.9(0.9) | 5.0(2.7) | 9.7(3.4) | 1.2(1.2) | 5.1(2.4) | 10.7(3.8) | |
| 500 | 1.1(1.0) | 5.8(2.5) | 11.8(3.8) | 1.2(1.3) | 6.3(3.0) | 12.1(4.5) | ||
| 1000 | 1.4(1.2) | 6.5(2.6) | 12.8(4.0) | 1.7(1.5) | 7.5(3.0) | 12.7(3.6) | ||
| (iv) | 200 | 1.0(0.9) | 5.0(2.7) | 10.7(4.2) | 1.1(1.1) | 5.6(2.9) | 10.5(4.1) | |
| 500 | 1.1(1.0) | 5.5(2.6) | 11.5(3.9) | 1.2(1.2) | 5.6(2.8) | 11.8(4.4) | ||
| 1000 | 1.1(1.0) | 6.0(3.1) | 12.0(3.9) | 1.3(1.3) | 6.7(3.1) | 12.4(4.4) | ||
| b | (i) | 200 | 0.9(1.0) | 5.1(2.5) | 10.0(3.8) | 1.0(1.0) | 5.0(2.7) | 9.6(3.7) |
| 500 | 1.2(1.2) | 5.0(2.7) | 11.5(3.7) | 1.2(1.4) | 5.3(2.6) | 11.0(3.8) | ||
| 1000 | 1.2(1.1) | 6.2(3.8) | 12.3(3.8) | 1.3(1.2) | 6.1(3.1) | 12.3(3.9) | ||
| (ii) | 200 | 1.0(0.9) | 5.0(2.5) | 10.0(3.6) | 0.9(1.0) | 5.3(2.5) | 10.1(3.6) | |
| 500 | 1.2(1.1) | 5.5(2.5) | 11.5(3.5) | 1.1(1.3) | 5.2(2.8) | 11.0(3.8) | ||
| 1000 | 1.4(1.2) | 5.9(2.8) | 12.3(3.8) | 1.3(1.2) | 5.9(2.9) | 12.1(3.7) | ||
| (iii) | 200 | 1.0(1.0) | 4.9(2.3) | 10.2(3.3) | 1.0(1.0) | 4.5(2.6) | 9.9(3.8) | |
| 500 | 1.1(1.2) | 5.7(2.6) | 11.0(3.5) | 1.1(1.3) | 5.3(2.7) | 11.0(4.2) | ||
| 1000 | 1.4(1.2) | 6.3(2.8) | 12.2(3.8) | 1.4(1.3) | 6.3(3.1) | 12.2(3.9) | ||
| (iv) | 200 | 1.0(1.0) | 4.9(2.3) | 10.2(3.3) | 1.0(1.0) | 4.5(2.6) | 9.9(3.8) | |
| 500 | 1.1(1.2) | 5.7(2.6) | 11.0(3.5) | 1.1(1.3) | 5.3(2.7) | 11.0(4.2) | ||
| 1000 | 1.4(1.2) | 6.3(2.8) | 12.2(3.8) | 1.4(1.3) | 6.3(3.1) | 12.2(3.9) | ||