Table 4.

Comparison of mean (sd) of ARI and CSA in 100 replicates between clusterMLD and funHDDC.

	ARI				CSA
	Uniform		Normal		Uniform		Normal
	η = 3	η = 6	η = 3	η = 6	η = 3	η = 6	η = 3	η = 6
clusterMLD (Gapb)
N=200
S0	0.924(0.110)	0.934(0.098)	0.935(0.086)	0.886(0.084)	0.990(0.009)	0.988(0.007)	0.986(0.009)	0.968(0.014)
S1	0.954(0.076)	0.967(0.031)	0.944(0.086)	0.883(0.086)	0.984(0.047)	0.993(0.006)	0.989(0.007)	0.950(0.071)
S2	0.901(0.179)	0.893(0.178)	0.948(0.06)	0.876(0.123)	0.991(0.008)	0.980(0.059)	0.989(0.008)	0.970(0.014)
N=400
S0	0.980(0.030)	0.972(0.049)	0.971(0.043)	0.917(0.053)	0.993(0.004)	0.992(0.004)	0.991(0.006)	0.972(0.011)
S1	0.981(0.017)	0.98(0.045)	0.976(0.022)	0.928(0.048)	0.994(0.005)	0.990(0.041)	0.993(0.005)	0.972(0.036)
S2	0.939(0.129)	0.959(0.086)	0.971(0.020)	0.918(0.053)	0.993(0.009)	0.993(0.005)	0.991(0.005)	0.977(0.008)
clusterMLD (CH)
N=200
S0	0.839(0.210)	0.773(0.216)	0.633(0.206)	0.429(0.072)	0.991(0.008)	0.989(0.007)	0.988(0.009)	−(−)
S1	0.751(0.202)	0.707(0.196)	0.609(0.148)	0.550(0.088)	−(−)	−(−)	−(−)	−(−)
S2	0.711(0.215)	0.753(0.184)	0.781(0.161)	0.738(0.130)	0.918(0.148)	0.902(0.175)	0.861(0.193)	0.971(0.024)
N=400
S0	0.919(0.166)	0.857(0.212)	0.656(0.176)	0.440(0.063)	0.993(0.004)	0.993(0.004)	0.994(0.005)	−(−)
S1	0.717(0.198)	0.679(0.189)	0.599(0.131)	0.545(0.052)	−(−)	−(−)	−(−)	−(−)
S2	0.791(0.188)	0.801(0.181)	0.835(0.146)	0.741(0.107)	0.991(0.019)	0.992(0.003)	0.923(0.173)	−(−)
funHDC
N=200
S0	0.483(0.068)	0.479(0.067)	0.498(0.077)	0.465(0.067)	−(−)	−(−)	−(−)	−(−)
S1	0.458(0.186)	0.505(0.178)	0.446(0.167)	0.432(0.113)	0.854(0.058)	0.876(0.059)	0.842(0.064)	0.837(0.072)
S2	0.419(0.213)	0.400(0.217)	0.399(0.200)	0.347(0.182)	0.519(0.034)	0.509(0.035)	0.498(0.038)	0.499(0.045)
N=400
S0	0.488(0.059)	0.499(0.071)	0.488(0.062)	0.463(0.059)	−(−)	0.625(0.025)	−(−)	−(−)
S1	0.457(0.140)	0.459(0.152)	0.445(0.138)	0.390(0.096)	0.878(0.057)	0.919(0.030)	0.917(0.026)	0.916(0.027)
S2	0.360(0.201)	0.370(0.189)	0.342(0.176)	0.321(0.198)	0.512(0.040)	0.492(0.028)	0.500(0.035)	0.486(0.024)

Note: CSA was only reported when there were at least two cases in 100 repetitions that resulted in $\widehat{K}=4$.