Some New Robust Estimators for Circular Logistic Regression Model with Applications on Meteorological and Ecological Data

Table 4

Bias and of all methods for data with various percentages of good leverage points (5%, 10%, and 20%).

	% of misc error	Methods
			Bias		Bias		Bias
1	5		0.8072	0.8122	0.8162	0.8232	0.8272	0.8342
			0.8115	0.8188	0.8225	0.8298	0.8105	0.8188
			0.8122	0.8219	0.8232	0.8329	0.8342	0.8439
			0.8138	0.8356	0.8248	0.8466	0.8358	0.8576
			0.8209	0.8623	0.8319	0.8733	0.8429	0.8843
2			0.8720	0.8221	0.8621	0.8322	0.8722	0.8423
			0.8151	0.8881	0.8252	0.8982	0.8051	0.8881
			0.8221	0.8192	0.8322	0.8293	0.8423	0.8394
			0.8381	0.8563	0.8482	0.8664	0.8583	0.8765
			0.8092	0.8236	0.8193	0.8337	0.8294	0.8438
6			0.8172	0.9222	0.9262	0.9332	0.9372	0.9442
			0.9215	0.9288	0.9325	0.9398	0.9205	0.9288
			0.9222	0.9319	0.9332	0.9429	0.9442	0.9539
			0.9238	0.9456	0.9348	0.9566	0.9458	0.9676
			0.9309	0.9723	0.9419	0.9833	0.9529	0.9943
10			0.8712	0.8222	0.8622	0.8332	0.8732	0.8442
			0.8152	0.8828	0.8253	0.8938	0.8025	0.8828
			0.8222	0.8139	0.8332	0.8249	0.8442	0.8359
			0.8328	0.8546	0.8438	0.8656	0.8548	0.8766
			0.8039	0.8273	0.8149	0.8383	0.8259	0.8493
15			0.8217	0.8223	0.8226	0.8233	0.8237	0.8244
			0.8251	0.8288	0.8352	0.8839	0.8520	0.8228
			0.8223	0.8931	0.8233	0.8942	0.8244	0.8953
			0.8823	0.8645	0.8834	0.8566	0.8845	0.8667
			0.8930	0.8372	0.8941	0.8833	0.8952	0.8394
1	10		0.8035	0.8096	0.7135	0.7196	0.7025	0.7086
			0.8083	0.8183	0.7183	0.7282	0.7291	0.7393
			0.8060	0.8143	0.7160	0.7243	0.7270	0.7353
			0.8121	0.8416	0.7221	0.7316	0.7331	0.7426
			0.8118	0.8506	0.7218	0.7606	0.7128	0.7066
2			0.8355	0.8966	0.7355	0.7966	0.7255	0.7866
			0.8833	0.8823	0.7833	0.7822	0.7911	0.7933
			0.8600	0.8433	0.7600	0.7433	0.7700	0.7533
			0.8211	0.8166	0.7211	0.7166	0.7311	0.7266
			0.8188	0.8066	0.7188	0.7066	0.7288	0.7666
6			0.9153	0.9196	0.8153	0.8169	0.8152	0.8168
			0.9138	0.9238	0.8238	0.8228	0.8219	0.8339
			0.9106	0.9134	0.8106	0.8234	0.8207	0.8335
			0.9112	0.9461	0.8212	0.8361	0.8313	0.8462
			0.9181	0.9560	0.8281	0.8660	0.8182	0.8065
10			0.8145	0.8107	0.7245	0.7207	0.7135	0.7196
			0.8193	0.8293	0.7293	0.7392	0.7302	0.7404
			0.8170	0.8253	0.7270	0.7353	0.7380	0.7463
			0.8231	0.8526	0.7331	0.7426	0.7441	0.7536
			0.8228	0.8616	0.7328	0.7716	0.7238	0.7176
15			0.8254	0.8207	0.7354	0.7370	0.7253	0.7269
			0.8239	0.8339	0.7339	0.7429	0.7420	0.7540
			0.8207	0.8335	0.7307	0.7435	0.7408	0.7536
			0.8313	0.8662	0.7413	0.7562	0.7514	0.7663
			0.8382	0.8761	0.7482	0.7861	0.7383	0.7267
1	20		0.7910	0.7903	0.6091	0.6094	0.6102	0.6105
			0.7954	0.7979	0.6064	0.6089	0.6175	0.6190
			0.7911	0.7922	0.6811	0.6822	0.6722	0.6733
			0.8019	0.7867	0.7119	0.6967	0.7220	0.6078
			0.7867	0.8101	0.6767	0.7001	0.6656	0.7223
2			0.7911	0.7922	0.6811	0.6822	0.6722	0.6733
			0.8019	0.7867	0.7119	0.6967	0.7220	0.6078
			0.7910	0.7903	0.6091	0.6094	0.6102	0.6105
			0.7954	0.7979	0.6064	0.6089	0.6175	0.6190
			0.7786	0.8011	0.6677	0.7010	0.6566	0.7232
6			0.7910	0.7903	0.6091	0.6094	0.6102	0.6105
			0.7954	0.7979	0.6064	0.6089	0.6175	0.6190
			0.7911	0.7922	0.6811	0.6822	0.6722	0.6733
			0.8019	0.7867	0.7119	0.6967	0.7220	0.6078
			0.7867	0.8101	0.6767	0.7001	0.6656	0.7223
10			0.8020	0.8013	0.7101	0.7104	0.7212	0.7215
			0.8064	0.8089	0.7174	0.7199	0.7285	0.7200
			0.8021	0.8032	0.7921	0.7932	0.7832	0.7843
			0.9129	0.8977	0.8229	0.7077	0.8330	0.7188
			0.8977	0.9211	0.7877	0.8111	0.7766	0.8333
15			0.8131	0.8124	0.7212	0.7215	0.7323	0.7326
			0.8175	0.8190	0.7285	0.7200	0.7396	0.7311
			0.8132	0.8143	0.7032	0.7043	0.7943	0.7954
			0.9231	0.8088	0.8330	0.7188	0.8221	0.7299
			0.8088	0.9322	0.7988	0.8211	0.7877	0.8433