Table 2:
MM shows shortest run times than EM, Fisher scoring (FS), and lme4. Shown below are average run times (milliseconds) for fitting a two-way ANOVA model with a = b = 5 levels of both factors. Standard errors are given in parentheses.
| Method | c = # observations per combination | ||||
|---|---|---|---|---|---|
| 5 | 10 | 20 | 50 | ||
| 0.00 | MM | 11.46(7.77) | 10.06(5.29) | 11.93(6.35) | 10.44(3.99) |
| EM | 189.32(71.32) | 148.20(48.13) | 147.87(49.97) | 96.28(24.97) | |
| FS | 34.27(33.47) | 24.89(8.55) | 23.70(14.15) | 20.46(4.54) | |
| lme4 | 25.84(12.10) | 22.32(1.25) | 27.34(4.06) | 36.14(5.59) | |
| 0.05 | MM | 9.79(7.72) | 6.19(4.22) | 6.87(4.37) | 4.45(2.20) |
| EM | 116.03(75.57) | 47.72(45.35) | 30.60(29.88) | 14.23(19.68) | |
| FS | 19.18(10.23) | 15.37(7.48) | 12.78(4.06) | 12.39(2.35) | |
| lme4 | 22.76(1.96) | 24.88(2.60) | 28.72(3.10) | 47.34(16.29) | |
| 0.10 | MM | 7.07(4.78) | 6.29(4.94) | 5.14(3.72) | 3.95(2.23) |
| EM | 78.96(66.19) | 35.48(45.81) | 19.53(27.71) | 9.67(13.56) | |
| FS | 17.36(11.26) | 14.44(9.00) | 12.08(6.31) | 11.47(2.40) | |
| lme4 | 22.66(1.83) | 28.90(8.70) | 30.16(4.43) | 44.58(4.89) | |
| 1.00 | MM | 2.66(2.61) | 3.22(2.91) | 3.57(3.15) | 3.85(2.50) |
| EM | 10.71(23.93) | 15.88(27.52) | 8.35(16.26) | 11.34(16.65) | |
| FS | 7.88(5.44) | 9.10(4.95) | 7.12(2.42) | 8.46(2.27) | |
| lme4 | 23.12(1.75) | 30.22(9.37) | 29.96(4.47) | 42.82(8.32) | |
| 10.00 | MM | 2.48(2.72) | 3.24(3.19) | 3.84(3.35) | 3.35(1.71) |
| EM | 9.66(22.02) | 15.98(26.57) | 10.24(18.78) | 10.27(15.40) | |
| FS | 15.19(6.05) | 16.39(6.11) | 15.81(5.15) | 18.14(5.46) | |
| lme4 | 35.02(3.83) | 47.12(8.10) | 63.24(15.33) | 102.78(34.49) | |
| 20.00 | MM | 2.57(2.49) | 3.13(3.53) | 3.13(2.44) | 3.07(1.81) |
| EM | 12.28(25.71) | 8.44(16.89) | 8.01(17.12) | 5.47(9.76) | |
| FS | 22.09(8.53) | 22.03(6.14) | 23.08(7.21) | 23.99(7.38) | |
| lme4 | 37.34(12.91) | 50.24(8.59) | 63.62(17.39) | 91.14(28.39) | |