Research Article

Mean Estimation of a Sensitive Variable under Nonresponse Using Three-Stage RRT Model in Stratified Two-Phase Sampling

Table 5

PREs of different mean estimators for population I.

Estimator20% nonresponse30% nonresponse
248248

0.2
0.8
100
100
100
100
100
100
100
100
100
100
100
100

0.2
0.8
115.3888
115.3871
102.5616
102.5614
95.65319
95.65344
112.2147
112.2136
101.5183
101.5182
96.6019
96.6022

0.2
0.8
161.3319
161.3229
172.3874
172.3785
180.4193
180.4107
164.6804
164.6716
175.0072
174.9989
181.0740
181.0664

0.2
0.8
181.0869
181.0735
208.5838
208.5675
230.8077
230.7898
188.3997
188.3860
214.4384
214.4230
231.1358
231.120

0.2
0.8
181.1115
181.0981
208.712
208.6957
231.0598
231.0418
188.4469
188.4332
214.5998
214.5843
231.3967
231.3808

0.2
0.8
181.0876
181.0741
208.5874
208.5711
230.8149
230.797
188.4010
188.3873
214.4431
214.4277
231.1434
231.1275

0.2
0.8
168.5379
168.5273
191.8925
191.8798
210.9381
210.9242
174.6901
174.6794
196.8989
196.8869
211.2498
211.2375

0.2
0.8
181.0869
181.0735
208.5838
208.5675
229.9411
229.9234
188.3997
188.386
214.4384
214.4230
229.4915
229.4760

0.2
0.8
181.0893
181.0759
208.5968
208.5805
230.8334
230.8155
188.4044
188.3907
214.4549
214.4395
231.1625
231.1466

0.2
0.8
180.1932
180.1800
210.048
210.0314
235.4472
235.4283
187.9831
187.9696
216.7631
216.7473
236.0666
236.0498

0.2
0.8
181.0862
181.0728
208.583
208.5667
230.8069
230.7890
188.3990
188.3853
214.4377
214.4223
231.1351
231.1192

0.2
0.8
179.9839
179.9707
207.0395
207.0236
228.8866
228.8691
187.1721
187.1587
212.7807
212.7656
229.1884
229.1729

0.2
0.8
181.0903
181.0769
208.6023
208.586
230.8443
230.8264
188.4064
188.3927
214.4618
214.4464
231.1738
231.1579

0.2
0.8
180.2022
180.189
207.3365
207.3205
229.2469
229.2293
187.4102
187.3967
213.0907
213.0756
229.5443
229.5287