Table 3 Accuracy of different methods for choosing summary statistics on a local scale
MethodεParameterRARMISERAE modeRAE meanRAE medianKS500Cov. P
pls.loc0.001Embedded Image0.168(0.136)0.081(0.091)0.088(0.095)0.086(0.091)0.0430.314
Embedded Image0.490(0.262)0.283(0.229)0.277(0.234)0.271(0.226)0.0430.314
ω0.450(0.278)0.232(0.234)0.225(0.228)0.225(0.228)0.0310.723
0.01Embedded Image0.175(0.126)0.088(0.094)0.098(0.103)0.094(0.099)0.0670.023*
Embedded Image0.485(0.274)0.287(0.222)0.287(0.243)0.280(0.223)0.0460.232
ω0.434(0.259)0.240(0.238)0.235(0.224)0.236(0.227)0.0330.655
0.1Embedded Image0.220(0.147)0.101(0.103)0.113(0.108)0.106(0.104)0.0870.001*
Embedded Image0.489(0.282)0.294(0.216)0.275(0.243)0.288(0.231)0.0570.078
ω0.429(0.259)0.239(0.226)0.239(0.227)0.234(0.223)0.0450.273
lgb.loc0.001Embedded Image0.149(0.151)0.061(0.074)0.067(0.081)0.064(0.077)0.0760.006*
Embedded Image0.440(0.213)0.271(0.213)0.259(0.209)0.253(0.209)0.0370.500
ω0.450(0.283)0.229(0.231)0.223(0.219)0.223(0.217)0.0290.794
0.01Embedded Image0.144(0.147)0.065(0.074)0.068(0.078)0.066(0.077)0.0850.001*
Embedded Image0.456(0.237)0.292(0.209)0.277(0.223)0.268(0.213)0.0350.576
ω0.439(0.27)0.235(0.229)0.228(0.225)0.230(0.225)0.0270.862
0.1Embedded Image0.140(0.133)0.068(0.077)0.069(0.078)0.068(0.078)0.093<0.001*
Embedded Image0.467(0.275)0.315(0.233)0.298(0.24)0.288(0.234)0.0200.991
ω0.431(0.264)0.232(0.22)0.226(0.219)0.227(0.222)0.0390.423
l1b.loc0.001Embedded Image0.184(0.183)0.070(0.081)0.070(0.083)0.071(0.082)0.0590.062
Embedded Image0.449(0.215)0.263(0.234)0.254(0.219)0.256(0.218)0.0340.610
ω0.484(0.281)0.246(0.253)0.232(0.218)0.240(0.233)0.0340.610
0.01Embedded Image0.176(0.18)0.072(0.081)0.070(0.083)0.070(0.082)0.0710.012*
Embedded Image0.450(0.218)0.268(0.25)0.263(0.23)0.257(0.221)0.0330.651
ω0.466(0.279)0.255(0.265)0.234(0.22)0.241(0.234)0.0290.791
0.1Embedded Image0.175(0.181)0.076(0.092)0.072(0.084)0.071(0.085)0.107<0.001*
Embedded Image0.504(0.276)0.277(0.234)0.291(0.251)0.261(0.227)0.0450.257
ω0.444(0.267)0.238(0.236)0.237(0.227)0.231(0.225)0.0320.694
l2b.loc0.001Embedded Image0.180(0.18)0.071(0.08)0.074(0.084)0.070(0.081)0.0430.314
Embedded Image0.436(0.207)0.249(0.222)0.251(0.215)0.253(0.213)0.0300.759
ω0.479(0.275)0.257(0.261)0.233(0.226)0.244(0.235)0.0370.500
0.01Embedded Image0.172(0.173)0.075(0.085)0.077(0.087)0.076(0.087)0.0560.084
Embedded Image0.444(0.211)0.258(0.246)0.264(0.225)0.257(0.215)0.0330.651
ω0.459(0.276)0.256(0.276)0.234(0.228)0.244(0.236)0.0360.532
0.1Embedded Image0.168(0.169)0.077(0.091)0.076(0.09)0.077(0.091)0.128<0.001*
Embedded Image0.496(0.266)0.277(0.235)0.289(0.241)0.264(0.23)0.0440.284
ω0.446(0.271)0.239(0.242)0.237(0.23)0.236(0.233)0.0350.579