TABLE 1

Comparison of BM and ML procedures in which fixed values of β (β*) are assumed, with Embedded Image = 20

Simulated valuesEstimation
procedure
Estimated values
ModelUE(a)β*Embedded Image SDEmbedded Image SDEmbedded Image SD
Equal effects (β → ∞)0.56.32BM→ ∞0.50(0.079)6.35(0.68)
ML→ ∞0.50(0.047)6.32(0.095)0
20.61(0.093)5.36(0.35)-489.3
10.80(0.13)4.12(0.34)-5510.0
0.51.15(0.20)2.94(0.27)-6110.6
0.251.85(0.34)1.85(0.18)-6511.1
β = 0.50.53.65BM→ ∞0.17(0.034)11.1(2.13)
ML→ ∞0.32(0.071)5.49(0.86)-3212
20.28(0.044)6.45(1.25)-1.21.8
10.36(0.057)5.14(1.07)-0.00.8
0.50.51(0.086)3.65(0.78)0
0.250.83(0.14)2.31(0.53)-0.30.5
Equal effects (β → ∞)2.52.83BM→ ∞2.52(0.29)2.83(0.29)
ML→ ∞2.53(0.20)2.80(0.17)0
23.66(0.39)1.97(0.18)-3.02.1
14.77(0.51)1.51(0.14)-4.32.6
0.56.99(0.76)1.04(0.10)-6.03.2
0.2511.4(1.27)0.64(0.062)-7.53.7
β = 0.52.51.63BM→ ∞0.84(0.12)4.92(0.71)
ML→ ∞1.29(0.17)3.14(0.33)-186.2
21.37(0.18)2.99(0.32)-1.81.9
11.76(0.24)2.35(0.26)-0.30.9
0.52.54(0.35)1.64(0.19)0
0.254.10(0.57)1.02(0.12)-0.30.6