Research Article
Using ORRT Models for Mean Estimation under Nonresponse and Measurement Errors in Stratified Successive Sampling
Table 1
MSE of the proposed estimators with nonresponse and measurement errors for
and different values of
and
.
| is 0.00600 | Q | k | Estimators | | | | | | With M.E | Without M.E | With M.E | Without M.E |
| 0.2 | 2 | 0.05505 | 0.00713 | 0.00749 | 0.00697 | 0.00598 | 3 | 0.10336 | 0.00834 | 0.00898 | 0.00811 | 0.00606 | 4 | 0.15158 | 0.00954 | 0.01045 | 0.00924 | 0.00614 | 5 | 0.19979 | 0.01073 | 0.01192 | 0.01036 | 0.00621 |
| 0.4 | 2 | 0.05489 | 0.00713 | 0.00736 | 0.00699 | 0.00601 | 3 | 0.10303 | 0.00832 | 0.00870 | 0.00810 | 0.00609 | 4 | 0.15110 | 0.00950 | 0.01002 | 0.00921 | 0.00616 | 5 | 0.19914 | 0.01067 | 0.01134 | 0.01031 | 0.00624 |
| 0.6 | 2 | 0.05476 | 0.00701 | 0.00727 | 0.00686 | 0.00588 | 3 | 0.10276 | 0.00821 | 0.00864 | 0.00798 | 0.00596 | 4 | 0.15069 | 0.00939 | 0.01000 | 0.00910 | 0.00603 | 5 | 0.19859 | 0.01057 | 0.01135 | 0.01020 | 0.00611 |
| , , and is 0.00480 | 0.2 | 2 | 0.05482 | 0.00616 | 0.00656 | 0.00599 | 0.00491 | 3 | 0.10322 | 0.00746 | 0.00814 | 0.00721 | 0.00500 | 4 | 0.15149 | 0.00873 | 0.00968 | 0.00840 | 0.00509 | 5 | 0.19971 | 0.00997 | 0.01121 | 0.00957 | 0.0051 |
| 0.4 | 2 | 0.05456 | 0.00613 | 0.00638 | 0.00596 | 0.00491 | 3 | 0.10288 | 0.00739 | 0.00780 | 0.00715 | 0.00500 | 4 | 0.15099 | 0.00863 | 0.00920 | 0.00831 | 0.00508 | 5 | 0.19905 | 0.00985 | 0.01057 | 0.00946 | 0.00517 |
| 0.6 | 2 | 0.05457 | 0.00613 | 0.00642 | 0.00596 | 0.00491 | 3 | 0.10265 | 0.00739 | 0.00788 | 0.00715 | 0.00500 | 4 | 0.15061 | 0.00863 | 0.00930 | 0.00831 | 0.00508 | 5 | 0.19852 | 0.00985 | 0.01070 | 0.00946 | 0.00517 |
| , , and is 0.00580 | 0.2 | 2 | 0.05503 | 0.00706 | 0.00742 | 0.00690 | 0.00590 | 3 | 0.10334 | 0.00827 | 0.00892 | 0.00804 | 0.00598 | 4 | 0.15158 | 0.00948 | 0.01040 | 0.00918 | 0.00606 | 5 | 0.19978 | 0.01067 | 0.01187 | 0.01030 | 0.00614 |
| 0.4 | 2 | 0.05486 | 0.00704 | 0.00727 | 0.00689 | 0.00591 | 3 | 0.10302 | 0.00823 | 0.00861 | 0.00801 | 0.00598 | 4 | 0.15109 | 0.00941 | 0.00994 | 0.00912 | 0.00606 | 5 | 0.19913 | 0.01059 | 0.01126 | 0.01022 | 0.00614 |
| 0.6 | 2 | 0.05477 | 0.00704 | 0.00730 | 0.00689 | 0.00591 | 3 | 0.10277 | 0.00823 | 0.00867 | 0.00801 | 0.00599 | 4 | 0.15069 | 0.00942 | 0.01003 | 0.00912 | 0.00606 | 5 | 0.19859 | 0.01059 | 0.01137 | 0.01023 | 0.00614 |
| , , and is 0.0063 | 0.2 | 2 | 0.05515 | 0.00747 | 0.00783 | 0.00733 | 0.00635 | 3 | 0.10341 | 0.00866 | 0.00929 | 0.00844 | 0.00643 | 4 | 0.15162 | 0.00984 | 0.01075 | 0.00955 | 0.00650 | 5 | 0.19982 | 0.01102 | 0.01220 | 0.01066 | 0.00657 |
| 0.4 | 2 | 0.05498 | 0.00746 | 0.00768 | 0.00732 | 0.00636 | 3 | 0.10309 | 0.00863 | 0.00900 | 0.00841 | 0.00643 | 4 | 0.15114 | 0.00979 | 0.01030 | 0.00951 | 0.00650 | 5 | 0.19917 | 0.01095 | 0.01161 | 0.01060 | 0.00658 |
| 0.6 | 2 | 0.05487 | 0.00746 | 0.00771 | 0.00732 | 0.00636 | 3 | 0.10283 | 0.00863 | 0.00905 | 0.00842 | 0.00643 | 4 | 0.15073 | 0.00979 | 0.01038 | 0.00951 | 0.00651 | 5 | 0.19862 | 0.01096 | 0.01171 | 0.01060 | 0.00658 |
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