Table 1.

Mean integrated squared error (MISE) between the true population function π(t) and the estimated population function π(t) estimated by the two models under different scenarios.

True π(t)	True ξ(t)	MISE × 103
		LMEM	LMEM+	FLMEM
1	(a)	0.35	0.37	0.45
	(b)	0.13	0.14	0.80
2	(a)	2.73	0.93	0.94
	(b)	2.57	0.80	1.02
3	(a)	10.42	9.21	0.77
	(b)	9.85	9.58	0.63
4	(a)	2.27	1.45	0.74
	(b)	2.09	1.27	0.45

Note. Bold text denotes the models that are significantly outperforming the others in each simulation scenario (see Supplemental Material S4 for further details). LMEM = logistic linear mixed-effects model; LMEM+ = logistic mixed-effects models with higher order terms; FLMEM = functional logistic mixed-effects models.