Research Article
Using ORRT Models for Mean Estimation under Nonresponse and Measurement Errors in Stratified Successive Sampling
Table 2
MSE of the proposed estimators with nonresponse and measurement errors for
and different values of
and
.
| is 0.00540 | Q | k | Estimators | | | | | | With M.E | Without M.E | With M.E | Without M.E |
| 0.2 | 2 | 0.10030 | 0.00642 | 0.00667 | 0.00608 | 0.00524 | 3 | 0.19378 | 0.00767 | 0.00816 | 0.00716 | 0.00538 | 4 | 0.28724 | 0.00898 | 0.00972 | 0.00832 | 0.0055 | 5 | 0.38059 | 0.01022 | 0.01113 | 0.00937 | 0.00563 |
| 0.4 | 2 | 0.10072 | 0.00646 | 0.00670 | 0.00613 | 0.00529 | 3 | 0.19466 | 0.00773 | 0.00820 | 0.00724 | 0.00541 | 4 | 0.28852 | 0.00899 | 0.00970 | 0.00835 | 0.00553 | 5 | 0.38228 | 0.01017 | 0.01111 | 0.00938 | 0.00565 |
| 0.6 | 2 | 0.10082 | 0.00626 | 0.00651 | 0.00592 | 0.00508 | 3 | 0.19481 | 0.00752 | 0.00799 | 0.00703 | 0.00521 | 4 | 0.28879 | 0.00885 | 0.00960 | 0.00821 | 0.00534 | 5 | 0.38265 | 0.01008 | 0.01103 | 0.00929 | 0.00547 |
| , , and is 0.00480 | 0.2 | 2 | 0.10027 | 0.00622 | 0.00648 | 0.00586 | 0.00503 | 3 | 0.19376 | 0.00748 | 0.00798 | 0.00696 | 0.00517 | 4 | 0.28722 | 0.00880 | 0.00955 | 0.00812 | 0.00531 | 5 | 0.38059 | 0.01005 | 0.01098 | 0.00922 | 0.00544 |
| 0.4 | 2 | 0.10069 | 0.0062 | 0.00645 | 0.00585 | 0.00502 | 3 | 0.19464 | 0.00748 | 0.00796 | 0.00698 | 0.00515 | 4 | 0.2885 | 0.00876 | 0.00948 | 0.00811 | 0.00528 | 5 | 0.38227 | 0.00994 | 0.01090 | 0.00913 | 0.00541 |
| 0.6 | 2 | 0.10081 | 0.00620 | 0.00645 | 0.00586 | 0.00501 | 3 | 0.19480 | 0.00746 | 0.00794 | 0.00697 | 0.00515 | 4 | 0.28879 | 0.00880 | 0.00955 | 0.00814 | 0.00528 | 5 | 0.38265 | 0.01003 | 0.01098 | 0.00923 | 0.00541 |
| , , and is 0.00580 | 0.2 | 2 | 0.10041 | 0.00713 | 0.00736 | 0.00682 | 0.00596 | 3 | 0.19384 | 0.00834 | 0.00878 | 0.00787 | 0.00607 | 4 | 0.28728 | 0.00961 | 0.01030 | 0.00900 | 0.00617 | 5 | 0.38064 | 0.01082 | 0.01167 | 0.01006 | 0.00627 |
| 0.4 | 2 | 0.10082 | 0.00712 | 0.00735 | 0.00682 | 0.00596 | 3 | 0.19472 | 0.00836 | 0.0088 | 0.00791 | 0.00607 | 4 | 0.28856 | 0.00960 | 0.01026 | 0.009 | 0.00616 | 5 | 0.38232 | 0.01075 | 0.01165 | 0.01001 | 0.00626 |
| 0.6 | 2 | 0.10093 | 0.00712 | 0.00735 | 0.00682 | 0.00597 | 3 | 0.19487 | 0.00834 | 0.00877 | 0.00789 | 0.00607 | 4 | 0.28884 | 0.00963 | 0.01033 | 0.00904 | 0.00616 | 5 | 0.38268 | 0.01083 | 0.01173 | 0.01009 | 0.00626 |
| , , and is 0.0063 | 0.2 | 2 | 0.10048 | 0.00756 | 0.00777 | 0.00726 | 0.00639 | 3 | 0.19388 | 0.00875 | 0.00918 | 0.00831 | 0.00648 | 4 | 0.28731 | 0.01001 | 0.01067 | 0.00942 | 0.00657 | 5 | 0.38066 | 0.01120 | 0.01203 | 0.01047 | 0.00665 |
| 0.4 | 2 | 0.10090 | 0.00756 | 0.00777 | 0.00727 | 0.00639 | 3 | 0.19476 | 0.00878 | 0.00920 | 0.00835 | 0.00648 | 4 | 0.28858 | 0.01004 | 0.01065 | 0.00943 | 0.00657 | 5 | 0.38234 | 0.01116 | 0.01203 | 0.01044 | 0.00665 |
| 0.6 | 2 | 0.10099 | 0.00756 | 0.00777 | 0.00727 | 0.00639 | 3 | 0.19491 | 0.00876 | 0.00918 | 0.00833 | 0.00648 | 4 | 0.28886 | 0.01004 | 0.01072 | 0.00947 | 0.00657 | 5 | 0.38270 | 0.01123 | 0.01210 | 0.01051 | 0.00665 |
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