Research Article

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

Table 5

Mean square error using simulated data I–IV.

EstimatorsPopulation IPopulation IIPopulation IIIPopulation IV

31.6743181.1649143.9465820.86359
6.8207537.47699270.1638818.44416
112.6348304.2201175.3402108.1569
6.7295047.47367435.173359.010162
12.2341625.6500437.353359.044646
65.14118174.021689.9420153.901
6.7271517.46193235.144848.517024
6.7291117.47138335.17128.921513
6.7267847.45798235.147698.420505
31.667581.116543.9360920.49454
3.5652233.82636924.30645.094608
3.5652263.8263824.306435.099009
3.5652233.82636924.30645.09439
3.5652573.8265424.306925.111096
3.5652243.82637324.30645.095569
3.5652353.82643424.306485.100378
3.5652233.82636924.30645.094713
3.5652233.8263724.30645.094717
3.5652263.82638124.306475.100333
3.5653733.82700424.30875.127155