the Laplace approximation formula: CEFR ~ TRA + SEM + BOO + (1 | L1) link threshold nobs logLik AIC niter max.grad cond.H logit flexible 1000 -1152.72 2319.45 424(863) 2.91e-04 1.6e+03 Random effects: Groups Name Variance Std.Dev. L1 (Intercept) 0.2369 0.4868 Number of groups: L1 3 Coefficients: Estimate Std. Error z value Pr(>|z|) TRA -0.07840 0.03874 -2.024 0.0430 * SEM -0.04044 0.01699 -2.380 0.0173 * BOO -0.09567 0.05466 -1.750 0.0801 . --- Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 Threshold coefficients: Estimate Std. Error z value 1|2 -1.7850 0.3705 -4.818 2|3 0.2469 0.3660 0.674 3|4 2.3368 0.3891 6.005 ϥϯμϜยϞσϧ SBOEPNJOUFSDFQUNPEFM ϥϯμϜ͖ SBOEPNTMPQF ʹ͍ͭͯޙड़ .PEFMͱൺͯɺͷ༗ҙੑ͕͘ͳ͍ͬͯΔ ɹˣ -ͷҧ͍Λߟྀ͠ͳ͍ͱɺशख़Ϩϕϧͷ༧ଌʹର͢Δ د༩͕ʢෆʹʣߴΊʹݟੵΒΕͯ͠·͏ ϚϧνϨϕϧϞσϧͳͷͰɺ ϥϯμϜޮՌͷࢄͱඪ४ภࠩͳͲ͕දࣔ