Table 4.

Percentage of clustering object errors ($OE$) based on 1000 simulation replications when data are generated from (27) with respect to $k$-means (K), convex clustering (Convex), and $k$-means++ (KPP), directly on regression coefficients and our BIC selector in the generalized $k$-means.

$\sigma$	$c$	$k$	$n_0=50$				$n_0=100$
			K	Convex	KPP	BIC	K	Convex	KPP	BIC
0.1	10	2	0.4	0.1	0.6	$\mathbf{0.0}$	0.2	$\mathbf{0.0}$	0.3	$\mathbf{0.0}$
		3	1.4	$\mathbf{0.0}$	0.2	$\mathbf{0.0}$	1.5	$\mathbf{0.0}$	0.1	$\mathbf{0.0}$
	20	2	$\mathbf{0.0}$	$\mathbf{0.0}$	$\mathbf{0.0}$	$\mathbf{0.0}$	$\mathbf{0.0}$	$\mathbf{0.0}$	$\mathbf{0.0}$	$\mathbf{0.0}$
		3	1.5	$\mathbf{0.0}$	$\mathbf{0.0}$	$\mathbf{0.0}$	1.5	$\mathbf{0.0}$	$\mathbf{0.0}$	$\mathbf{0.0}$
0.2	10	2	0.3	0.1	0.5	$\mathbf{0.0}$	0.2	$\mathbf{0.0}$	0.3	$\mathbf{0.0}$
		3	14.0	12.4	16.1	$\mathbf{0.0}$	1.4	$\mathbf{0.0}$	0.1	$\mathbf{0.0}$
	20	2	$\mathbf{0.0}$	$\mathbf{0.0}$	$\mathbf{0.0}$	$\mathbf{0.0}$	$\mathbf{0.0}$	$\mathbf{0.0}$	$\mathbf{0.0}$	$\mathbf{0.0}$
		3	17.5	17.6	20.6	$\mathbf{0.0}$	1.5	$\mathbf{0.0}$	$\mathbf{0.0}$	$\mathbf{0.0}$
0.5	10	2	10.8	10.3	10.4	$\mathbf{0.1}$	0.9	0.6	0.9	$\mathbf{0.0}$
		3	33.1	32.6	32.2	$\mathbf{2.5}$	26.0	26.8	25.7	$\mathbf{0.1}$
	20	2	8.4	8.2	8.3	$\mathbf{0.1}$	0.5	0.5	0.5	$\mathbf{0.0}$
		3	31.4	31.3	31.2	$\mathbf{1.5}$	25.9	26.3	25.6	$\mathbf{0.1}$
1.0	10	2	41.1	40.2	40.0	$\mathbf{8.3}$	22.8	21.7	20.5	$\mathbf{1.2}$
		3	46.8	45.7	46.4	$\mathbf{22.6}$	38.9	38.1	38.0	$\mathbf{11.1}$
	20	2	39.4	38.9	38.1	$\mathbf{5.3}$	18.6	18.0	17.7	$\mathbf{1.2}$
		3	45.9	45.2	45.1	$\mathbf{18.0}$	36.4	36.1	35.8	$\mathbf{4.5}$