Research Article

Hypothesis Designs for Three-Hypothesis Test Problems

Table 10

Simulated performances for the schemes under Gaussian quadrature formulas in Table 2.

NWhen μ1 is true When μ0 is trueASN(μ0)ɛ(%)
Probability of accepting Probability of accepting
μ-1μ0μ1μ-1μ0μ1

5 00.05000.95000.0250 0.9501 0.0249 4.99980.00
1000.0499 0.9501 0.0249 0.9499 0.0251 10.00320.03
15 0 0.0486 0.95140.0271 0.9456 0.0274 15.00380.03
20 0 0.0520 0.9480 0.0228 0.9543 0.0229 20.00610.03
250 0.0510 0.9490 0.0236 0.9530 0.0234 24.97950.08
300 0.0512 0.9488 0.0235 0.9532 0.0233 29.99260.02