Tests on a subset of regression parameters for factorial experimental data with uncertain higher order interactions
Article
Article Title | Tests on a subset of regression parameters for factorial |
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ERA Journal ID | 36046 |
Article Category | Article |
Authors | Khan, Shahjahan (Author), Pratikno, Budi (Author), Rahman, Shafiqur (Author) and Hossain, M. Zakir (Author) |
Journal Title | Journal of Statistical Theory and Applications |
Journal Citation | 18 (2), pp. 103-112 |
Number of Pages | 10 |
Year | 2019 |
Place of Publication | New York, United States |
ISSN | 1538-7887 |
Digital Object Identifier (DOI) | https://doi.org/10.2991/jsta.d.190514.001 |
Web Address (URL) | https://www.atlantis-press.com/journals/jsta/125909798 |
Abstract | The data generated by many factorial experiments are analyzed by linear regression models. Often the higher order interaction terms of such models are negligible (e.g., R. Mead, The Design of Experiments, Cambridge University Press, Cambridge, 1988, p. 368) although there is uncertainty around it. This kind of nonsample prior information (NSPI) can be presented by null hypotheses (cf. T.A. Bancroft, Ann. Math. Stat. 15 (1944), 190–204), and its uncertainty removed through appropriate statistical test. Depending on the level of the NSPI the unrestricted, restricted, and pretest (PTT) tests are defined. The sampling distributions of test statistics and power functions of the three tests are derived. The graphical and analytical comparisons of powers reveal that the PTT dominates over the other tests. |
Keywords | correlated bivariate noncentral F distribution, factorial experiment, linear regression, pretest test, power and size of tests |
ANZSRC Field of Research 2020 | 490501. Applied statistics |
490509. Statistical theory | |
Byline Affiliations | School of Agricultural, Computational and Environmental Sciences |
Jenderal Soedirman University, Indonesia | |
Sultan Qaboos University, Oman | |
Institution of Origin | University of Southern Queensland |
https://research.usq.edu.au/item/q549y/tests-on-a-subset-of-regression-parameters-for-factorial-experimental-data-with-uncertain-higher-order-interactions
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