M-test of two parallel regression lines under uncertain prior information
Paper
Paper/Presentation Title | M-test of two parallel regression lines under uncertain prior information |
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Presentation Type | Paper |
Authors | Khan, Shahjahan (Author) and Yunus, Rossita M. (Author) |
Editors | Amin, Zeinab and Hadi, Ali S. |
Journal or Proceedings Title | Proceedings of the 10th Islamic Countries Conference on Statistical Sciences (ICCS-X) |
ERA Conference ID | 50977 |
Journal Citation | 1, pp. 236-245 |
Number of Pages | 10 |
Year | 2010 |
Place of Publication | Lahore, Pakistan |
ISBN | 9789774163658 |
Web Address (URL) of Paper | http://www.iccs-x.org.eg/ |
Conference/Event | 10th Islamic Countries Conference on Statistical Sciences (ICCSS-10): Statistics for Development and Good Governance |
Islamic Countries Conference on Statistical Sciences | |
Event Details | 10th Islamic Countries Conference on Statistical Sciences (ICCSS-10): Statistics for Development and Good Governance Event Date 20 to end of 23 Dec 2009 Event Location Cairo, Egypt |
Event Details | Islamic Countries Conference on Statistical Sciences ICCS |
Abstract | This paper considers the problem of testing the intercepts of two simple linear models following a pre-test on the suspected equality of slopes. The unrestricted test (UT), restricted test (RT) and pre-test test (PTT) are proposed from the M-tests using the M-estimation methodology. The asymptotic power functions of the UT, RT and PTT are given. The computational comparisons of power function of the three tests are provided. The PTT achieves a reasonable dominance over the other two tests asymptotically. |
Keywords | pre-test, asymptotic power and size, M-estimation, local alternative hypothesis, bivariate non-central chi-square |
ANZSRC Field of Research 2020 | 490509. Statistical theory |
Public Notes | Files associated with this item cannot be displayed due to copyright restrictions. |
Byline Affiliations | Department of Mathematics and Computing |
https://research.usq.edu.au/item/q036x/m-test-of-two-parallel-regression-lines-under-uncertain-prior-information
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