Table 1. The relative root mean square error of the new ratio estimators and associated variance estimators for N = 3,000.
Response rate (%) | n | The relative root mean square error of the proposed estimators | The relative root mean square error of the variance estimators | ||||||
---|---|---|---|---|---|---|---|---|---|
is known | is known | is unknown | is unknown | ||||||
MAR | MCAR | MAR | MCAR | MAR | MCAR | MAR | MCAR | ||
60 | 100 | 0.0470 | 0.0472 | 0.0465 | 0.0467 | 0.1702 | 0.1703 | 0.2763 | 0.3201 |
200 | 0.0350 | 0.0351 | 0.0354 | 0.0361 | 0.1321 | 0.1316 | 0.1761 | 0.2069 | |
600 | 0.0322 | 0.0324 | 0.0330 | 0.0340 | 0.1150 | 0.1158 | 0.1408 | 0.1658 | |
1,200 | 0.0104 | 0.0105 | 0.0105 | 0.0107 | 0.0427 | 0.0697 | 0.0512 | 0.0804 | |
80 | 100 | 0.0364 | 0.0373 | 0.0366 | 0.0375 | 0.1453 | 0.1490 | 0.1930 | 0.2526 |
200 | 0.0258 | 0.0261 | 0.0266 | 0.0269 | 0.1127 | 0.1141 | 0.1855 | 0.2048 | |
600 | 0.0134 | 0.0139 | 0.0146 | 0.0150 | 0.0588 | 0.0614 | 0.1108 | 0.1149 | |
1,200 | 0.0086 | 0.0089 | 0.0088 | 0.0090 | 0.0433 | 0.0552 | 0.0660 | 0.0875 |