Skip to main content
. 2022 Dec 13;10:e14551. doi: 10.7717/peerj.14551

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
X¯ is known X¯ is known X¯ is unknown X¯ is unknown
PRMSE(Y^R(2)) PRMSE(Y^R(3)) PRMSE(V^(Y^R(2))) PRMSE(V^(Y^R(3)))
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