Enhanced Estimation of the Population Mean Using Two Auxiliary Variables under Probability Proportional to Size Sampling

Table 4

Percentage relative efficiency using populations I–IV.

Estimators	Population I	Population II	Population III	Population IV
	100	100	100	100
	81.36935	106.1054	358.4447	170.9311
	31.22617	65.74947	30.57302	41.88105
	125.0351	109.9222	359.6531	171.7003
	123.3721	109.4923	224.3352	149.0486
	55.63916	83.15736	51.5013	63.60254
	134.8085	152.3046	368.3056	185.5391
	124.7932	82.69115	360.6566	168.5062
	131.7201	91.52203	368.3795	175.5696
	103.1366	131.6958	101.7796	107.126
	185.0654	176.7388	668.3116	290.6632
	184.8049	176.0139	668.1597	289.9083
	185.0891	176.8481	668.3213	290.7471
	184.8913	175.2834	667.7359	289.1858
	185.0829	176.7892	668.2708	290.5498
	185.0854	176.6207	668.1002	290.1626
	185.0354	176.3708	668.3089	290.5996
	185.09	176.8686	668.3056	290.7082
	184.548	174.9652	668.1324	289.6314
	183.4885	173.7061	666.3807	288.5326