Comparison of maximum statistics for hypothesis testing when a nuisance parameter is present only under the alternative - PubMed (original) (raw)
Comparative Study
Comparison of maximum statistics for hypothesis testing when a nuisance parameter is present only under the alternative
Gang Zheng et al. Biometrics. 2005 Mar.
Abstract
In many practical problems, a hypothesis testing involves a nuisance parameter which appears only under the alternative hypothesis. Davies (1977, Biometrika 64, 247-254) proposed the maximum of the score statistics over the whole range of the nuisance parameter as a test statistic for this type of hypothesis testing. Freidlin, Podgor, and Gastwirth (1999, Biometrics 55, 883-886) studied two other simpler maximum test statistics, the maximum of the score statistics at two extreme points of the nuisance parameter, and the maximum of the score statistics at three points of the nuisance parameter including the two extreme points. In this article, we compare the powers of these three maximum-type statistics in the context of three genetic problems.
Similar articles
- Alternative test for linkage between two loci.
Cleves MA, Elston RC. Cleves MA, et al. Genet Epidemiol. 1997;14(2):117-31. doi: 10.1002/(SICI)1098-2272(1997)14:2<117::AID-GEPI2>3.0.CO;2-4. Genet Epidemiol. 1997. PMID: 9129958 - Multipoint linkage detection in the presence of heterogeneity.
Chiu YF, Liang KY, Beaty TH. Chiu YF, et al. Biostatistics. 2002 Jun;3(2):195-211. doi: 10.1093/biostatistics/3.2.195. Biostatistics. 2002. PMID: 12933613 - Sample size adaptation in fixed-dose combination drug trial.
James Hung HM, Wang SJ. James Hung HM, et al. J Biopharm Stat. 2012;22(4):679-86. doi: 10.1080/10543406.2012.676533. J Biopharm Stat. 2012. PMID: 22651108 - Introduction to inferential statistics and hypothesis testing.
Gliner JA, Morgan GA, Harmon RJ. Gliner JA, et al. J Am Acad Child Adolesc Psychiatry. 2000 Dec;39(12):1568-70. doi: 10.1097/00004583-200012000-00022. J Am Acad Child Adolesc Psychiatry. 2000. PMID: 11128336 Review. No abstract available. - A review of response surface methodology from a biometric viewpoint.
Mead R, Pike DJ. Mead R, et al. Biometrics. 1975 Dec;31(4):803-51. Biometrics. 1975. PMID: 1106790 Review. No abstract available.
Cited by
- A Cognitive Turning Point in Development of Clinical Alzheimer's Disease Dementia and Mild Cognitive Impairment: A Biracial Population Study.
Rajan KB, Wilson RS, Barnes LL, Aggarwal NT, Weuve J, Evans DA. Rajan KB, et al. J Gerontol A Biol Sci Med Sci. 2017 Mar 1;72(3):424-430. doi: 10.1093/gerona/glw246. J Gerontol A Biol Sci Med Sci. 2017. PMID: 28043942 Free PMC article. - A graphical weighted power improving multiplicity correction approach for SNP selections.
Saunders G, Fu G, Stevens JR. Saunders G, et al. Curr Genomics. 2014 Oct;15(5):380-9. doi: 10.2174/138920291505141106103959. Curr Genomics. 2014. PMID: 25435800 Free PMC article. - On detecting the effect of exposure mixture.
Liu X, Jin Z. Liu X, et al. J Appl Stat. 2022 Apr 12;50(9):1980-1991. doi: 10.1080/02664763.2022.2061430. eCollection 2023. J Appl Stat. 2022. PMID: 37378272 Free PMC article. - Statistical Significance Testing for Mixed Priors: A Combined Bayesian and Frequentist Analysis.
Robnik J, Seljak U. Robnik J, et al. Entropy (Basel). 2022 Sep 21;24(10):1328. doi: 10.3390/e24101328. Entropy (Basel). 2022. PMID: 37420349 Free PMC article. - Genetic model selection in two-phase analysis for case-control association studies.
Zheng G, Ng HK. Zheng G, et al. Biostatistics. 2008 Jul;9(3):391-9. doi: 10.1093/biostatistics/kxm039. Epub 2007 Nov 13. Biostatistics. 2008. PMID: 18003629 Free PMC article.
Publication types
MeSH terms
LinkOut - more resources
Full Text Sources
Medical