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

Table 2

Summary statistics using populations I–IV.

Parameters	Population I	Population II	Population III	Population IV
N	36	36	36	36
	8	8	8	8
	0.9696729	−0.6582569	0.9858109	0.6661042
	0.9561891	−0.8176929	0.4657161	−0.2593909
ʎ	0.1	0.125	0.04	0.125
	660.1389	76.22889	62.83333	41.3333
	215.6389	14.77222	71.66667	12.26944
	943423.1	408.7671	221.2286	306.2286
	14156.06	124.4017	452.6637	34.41933
	88042.77	5688.693	618.1584	598.9388
	8022.66	60.23118	724.0232	29.47537
	0.5004151	0.7550356	0.3372424	0.6856327
	0.5517523	0.7550356	0.296873	0.4781634
	0.1376508	0.3558289	0.1482674	0.211857
	0.4474645	0.3004429	0.849679	0.6462118
	19594.81	400.6883	667.6562	107.4405