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

Table 5

Bias and of all methods for data with various percentages of good leverage points (30% and 40%).

	% of misc error	Methods
			Bias		Bias		Bias
1	30		0.8089	0.8392	0.7189	0.7492	0.7989	0.7922
			0.8124	0.8452	0.7224	0.7552	0.7244	0.7522
			0.8111	0.8442	0.7211	0.7542	0.7112	0.7425
			0.8150	0.8601	0.7250	0.7701	0.7052	0.7107
			0.8109	0.8632	0.7209	0.7732	0.7092	0.7327
2			0.8190	0.8403	0.7290	0.7503	0.7090	0.7033
			0.8235	0.8562	0.7335	0.7663	0.7355	0.7633
			0.8221	0.8553	0.7322	0.7653	0.7223	0.7536
			0.8261	0.8712	0.7361	0.7812	0.7163	0.7218
			0.8210	0.8743	0.7310	0.7843	0.7103	0.7438
6			0.8890	0.8923	0.7891	0.7924	0.7899	0.7229
			0.8241	0.8524	0.7242	0.7525	0.7442	0.7215
			0.8231	0.8424	0.7112	0.7425	0.7121	0.7254
			0.8501	0.8016	0.7502	0.7017	0.7520	0.7071
			0.8091	0.8326	0.7092	0.7327	0.7920	0.7273
10			0.8981	0.9012	0.7980	0.8013	0.7988	0.7337
			0.8352	0.8635	0.7353	0.7636	0.7553	0.7326
			0.8342	0.8535	0.7223	0.7536	0.7232	0.7365
			0.8612	0.8127	0.7613	0.7128	0.7631	0.7182
			0.8102	0.8437	0.7103	0.7438	0.8031	0.7384
10			0.9189	0.9123	0.8089	0.9031	0.8889	0.8373
			0.9235	0.9356	0.8235	0.8356	0.8355	0.8236
			0.9234	0.9355	0.8322	0.8365	0.8223	0.8256
			0.9162	0.9271	0.8136	0.8281	0.8136	0.8281
			0.9021	0.9374	0.8031	0.8384	0.9103	0.8438
15			0.9982	0.9232	0.8981	0.9311	0.8899	0.8734
			0.9353	0.9564	0.8353	0.8564	0.8554	0.8363
			0.9343	0.9554	0.8224	0.8654	0.8233	0.8563
			0.9622	0.9713	0.8362	0.8813	0.8362	0.8813
			0.9211	0.9744	0.8311	0.8844	0.9032	0.8384
1	40		0.8162	0.8421	0.7272	0.7311	0.7382	0.7421
			0.8216	0.8519	0.7326	0.7629	0.7436	0.7739
			0.8186	0.8458	0.7286	0.7558	0.7396	0.7658
			0.8454	0.9045	0.7564	0.8035	0.7674	0.8145
			0.8463	0.9096	0.7573	0.9107	0.7683	0.9217
2			0.8273	0.8532	0.7383	0.7422	0.7493	0.7532
			0.8327	0.8620	0.7437	0.7730	0.7546	0.7840
			0.8297	0.8569	0.7397	0.7669	0.7407	0.7769
			0.8565	0.9156	0.7674	0.8146	0.7785	0.8256
			0.8574	0.9107	0.7684	0.9218	0.7794	0.9328
6			0.8373	0.8326	0.7834	0.7225	0.7935	0.7326
			0.8274	0.8207	0.7375	0.7308	0.7466	0.7409
			0.8973	0.8696	0.7974	0.7697	0.7075	0.7698
			0.8656	0.9562	0.7747	0.8462	0.7858	0.853
			0.8746	0.9072	0.7847	0.9183	0.7948	0.9284
10			0.9162	0.9421	0.8474	0.8311	0.8382	0.8421
			0.9216	0.9511	0.8326	0.8621	0.8435	0.8731
			0.9186	0.9458	0.8287	0.8558	0.8316	0.8650
			0.9454	0.9267	0.8563	0.9035	0.8674	0.9145
			0.9463	0.9218	0.8574	0.9107	0.8684	0.9217
15			0.9273	0.9532	0.8585	0.8422	0.8493	0.8532
			0.9327	0.9622	0.8437	0.8732	0.8546	0.8842
			0.9297	0.9569	0.8398	0.8669	0.8427	0.8761
			0.9566	0.9368	0.8674	0.9146	0.8785	0.9256
			0.9352	0.9107	0.8463	0.9006	0.8573	0.9106